diff --git "a/data/dm_maths/full_data_2/2993_11255.jsonl" "b/data/dm_maths/full_data_2/2993_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2993_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify 6*(sqrt(243)*2)\/sqrt(9)*3.\nAnswer: 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396280 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 85*x - 1579. Let w be r(-14). Determine b, given that -4\/7*b**w + 16\/7*b - 6\/7*b**2 + 2\/7*b**4 - 8\/7 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -48*s - 141. Let m(i) = -i**2 - 47*i - 144. Let w(o) = 2*d(o) - 3*m(o). Suppose w(n) = 0. Calculate n.\nAnswer: -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*b - 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y**2 - 3*y + 4. Suppose 5*l = 3*n - 8010, -4*l + 816 = -n + 3479. Let b(x) = -7 - x**2 - 2675*x + 8 + n*x. Calculate -a(q) + 6*b(q).\nAnswer: 2*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1116524 kilograms to milligrams.\nAnswer: 111652.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/602 and -21\/86.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 267 = -7521. Let m = t + -67. What is m rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -0.12 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*2073.044.\nAnswer: -829.2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 2*a**3\/3 + a**2\/2 - 6*a - 11. Let q(i) = 6*i**2 + 3*i - 17. Give 17*p(k) - 6*q(k).\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33371, -50724, -68083, -85454, -102843?\nAnswer: -120256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11022303 + -32414?\nAnswer: 10434334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*d = -495 - 2049, -4*d = 5*i - 4235. Let g = i + -842. Factor h**3 - g + 5\/3*h + 11\/3*h**2.\nAnswer: (h + 1)*(h + 3)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/18 + ((-22)\/(-88) - (-10)\/(-40))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14500 (base 6) in base 4?\nAnswer: -210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*c - o - 81 = 0, -15*c + 28*c = 11*c + 4*o - 38 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l, 0 = 7*j - 8*j + 3*l + 727. Let x = 753 - j. What is the remainder when 450 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96 or -3565\/37?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + 2*b)*(-1 - 1 - 2)*(5*b - 4*b + 0*b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 - 280*m + 331*m + (2 - 6 + 2)*(-3*m - m + 2*m))*(-4*m - 2*m + 4*m) in the form h + o*m + d*m**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 2*l**2 + 3*l + 3. Let x be n(-3). Suppose 2*c = 2*g + 2*g + 14, -x*g = 4*c + 16. Let h = c + 11. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejjeeeeeee. What is prob of sequence eeee?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456 + 911 + 48*s - 19*s - 28*s - 455.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m. Let o(u) = 3*u + 4*u**3 + 67 - 5*u**3 - 4*u. Is o(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 15. Suppose -2385 = 5*i + 5*w, -i - 3*w - 489 = 2*w. Let a = -474 - i. What is b(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 - 2548247.\nAnswer: -2548273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2590.8 - -1960.8. Do 1.6 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*o - 64 = 43, -3*o - 60 = -2*m. Suppose 0 = -3*a + m - 3. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/11, -2, -1\/655?\nAnswer: -1\/655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = 128 - 310. What is the greatest common factor of 2249 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5, 4*t - 2*p - 62 = 0. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 10245304403?\nAnswer: -10245304403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 3*h**2 - 27*h - 643. What is a(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-764)\/1910)\/(24\/(-20)))\/((-2)\/390*1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)*(3 - 1)*2. Suppose -48 = -0*y - r*y. Suppose 4*i - h - 391 + 20 = 0, 0 = 4*h + y. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 92*g + 476. Give m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9*(-26)\/52*(0 + 3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144798795, 289597594, 434396393, 579195192?\nAnswer: 723993991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(((g**(6\/11)*g)\/g)\/g))**(32\/7)\/(((g*g**(-1\/17))\/g)\/(g**2*g)) assuming g is positive.\nAnswer: g**(18692\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 1\/3 (b) 0.4 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, -3, 0, -56, -2.\nAnswer: -56, -5, -3, -2, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -5 (c) 983 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6258 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 452*x - 6972*x**3 + 6972*x**3 - 162*x**5 wrt x.\nAnswer: -3240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -193547 and -4.\nAnswer: 774188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -282.000721 - -282. What is a rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 greater than or equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 719478.2 millennia?\nAnswer: 8633738400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*177\/6 + -2. Let x = z - 17. Suppose -2*v = 3*v - x. Calculate the remainder when 15 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 106751, 213281, 319811, 426341?\n\"Answer: 106530*t + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqqq when four letters picked without replacement from vvfoqfoqoo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12.5, -4, -16, -101, 0.4, -0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*x = 404, 145 - 86 + 52 = -3*d - x - 204 for d.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6618 plus 123710769?\nAnswer: 123704151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(17) + sqrt(17) + sqrt(17) + 5*sqrt(17)*-1 + sqrt(17) + sqrt(17) + sqrt(85)\/(sqrt(270)\/sqrt(6)))**2*-2 + -1.\nAnswer: -493\/9 - 20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 6 = -3*r, -c + 4*r - 54 = -47 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622929 is divided by 622917?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.55 - 0.05. Let j = f - -0.6. Let o = 1.9 + -2. Which is the second biggest value? (a) o (b) -2\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.183*1.2536\nAnswer: -2.7366088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43902343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l**2 - 4*l**2 - 3*l + 0*l)*(30 - 30 + 18*l) to the form d + w*l**3 + r*l**2 + t*l and give r.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(18\/(-12)*5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.262754 less than -0.1?\nAnswer: -0.362754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9244\/495 + 1076\/55. Factor 0 - 2\/9*f**2 + g*f.\nAnswer: -2*f*(f - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 19. Determine p(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/113 + 569\/226. Let s(v) = -v + 19. Let h be s(17). Suppose -4*u + 2 + h = 0. What is the nearest to -2\/5 in -3, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/(909\/37875)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/22 in -4\/101, 0.88, 2, 0?\nAnswer: -4\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c + 3*c)*(15*c + 3*c - 2*c)*(-3*c - c - 2*c).\nAnswer: -192*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/34155*-9)\/(((-384)\/(-88))\/8)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4 + 72*b**3 + 309*b**2 + 468*b + 228 = 0. Calculate b.\nAnswer: -19, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 3163?\nAnswer: 28467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484594149.\nAnswer: 3, 13, 955807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -25*l - 30. Let t(q) = 69*q + 91. Calculate -4*t(g) - 11*y(g).\nAnswer: -g - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p\/(p\/p**4)*p)\/p)\/p)*p)**(-1\/86)\/(p\/(p\/(p\/p**(2\/19)))*p\/(p**(-10)\/p)))**(-38) assuming p is positive.\nAnswer: p**(21051\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 536 + -532. Let a(y) = -y + 13. Let d(g) = -2*g + 25. Determine b*d(x) - 7*a(x).\nAnswer: -x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 + 133.0175. What is r rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*7\/(-6)*(360\/910)\/9.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cec0 + 4?\nAnswer: -1cebc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**3 + 252*v**2 + 156*v - 162. Calculate i(51).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 14*p**2 + 13*p + 2. Calculate r(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 + 4*g**3 + 1 + 0. Let b(w) = 2*w**3 - w + 2. Let y(h) = h**3 + 6*h**2 - 7*h + 1. Let z be y(-7). Determine z*b(v) - 3*s(v).\nAnswer: -v**3 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -19. Suppose g*d + 81 = 5*d. What is the remainder when d is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 16603 - 16608 - 4*t - 3*t. Let o(j) = -6*j - 4. Give -4*d(l) + 3*o(l).\nAnswer: 2*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16294 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + g = -5*p + 7*p + 218, 43*p + 679 = 21*p - 3*g for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**7\/189 - 4*c**6\/135 + c**5\/9 + 14*c**4\/27 + 5*c**3\/9 - 1860*c. Solve o(v) = 0.\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -71. Let h = t - 35. Suppose -3*j + 9 = 0, 0*v + 5 = h*v - j. Solve 7*z = 9*z - v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 6*r + 55. Let g be y(6). Suppose 0 = -7*q + 57 + g. What is the highest common divisor of q and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798*k - 798*k + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427 + 7*l**3 + 14*l**3 - 427.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-272000)\/(-6))\/((-8)\/(-600)). Round l to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0*f*((f**(2\/3)*f*f)\/f)\/f*f*f**(-2\/3)\/(f*f\/(((f**(-1\/7)*f)\/f)\/f))*((f\/(f*f\/f**(-1\/7)*f))\/(f*f**2*f))\/(f*f**(-1\/3)*f)**(2\/151) assuming f is positive.\nAnswer: f**(-23173\/3171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/26*(-654)\/436?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s**(-7\/9)*s)\/s)*s**(11\/7)*s**(-22)\/s**35 assuming s is positive.\nAnswer: s**(-3380\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -17*u - 270. Let g be i(-16). Solve -5*t + g*w = 25, -t + 3*w = -4 + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1841, 2491, 1941, 185, -2783, -6969, -12379, -19019?\n\"Answer: -b**3 - 594*b**2 + 2439*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m - 225. Calculate r(2).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 11 - 24 = 5*r, -5*r = -2*g + 30. Let q = 7 - 2. Suppose 4*s + 116 = 3*d - 533, -g*d = q*s - 1140. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/3))\/h)**(-23) assuming h is positive.\nAnswer: h**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - 131?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(2\/13)))\/m)\/m**(2\/7) assuming m is positive.\nAnswer: m**(-131\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59\/(-19) - (-122)\/1159 - -39837.\nAnswer: 2, 3, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g. Let f = -0.4 - 2.6. Let t = -5 - f. Which is the second biggest value? (a) g (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296 is divided by 422?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -16. Let g = b + -24. Solve -c = 2*c - g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -915, -2 in decreasing order.\nAnswer: 0, -2, -915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 146 - 152 + 294 + 2*g. What is a(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from zmzszsz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose -3*k - 5*p + 4*p + 22 = d, k = -2*p - 1. Suppose 328*g + 97*g + 205*g = 1890. What is the second smallest value in k, -1\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268dc (base 14) to base 6.\nAnswer: -2012030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2*h - 2*h)*(0*h**3 - 3*h**3 - 5*h**3) + (3 + 8*h**4 - 3)*(4 - 4 + 2) as x*h**4 + u + c*h + r*h**2 + p*h**3 and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2585472*x**2 + 16382405.\nAnswer: -5170944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9902 is divided by 283?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -57 + (-1 - -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51337 - -51321) + (-1 - (1 - 52))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.09991 rounded to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 235 = 3*a. Suppose -4*f + x - 68 = -x, -2*f = 5*x + 10. Let k = f + a. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491500*w = 491286*w - 6206 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -100 and 0.40548520555?\nAnswer: 100.40548520555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -37. Suppose -o - 3 = -4*j. Let s(b) = -3*b - 23. Let m be s(-13). What is the highest common factor of j and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -856, -2789, -5794, -9865, -14996, -21181, -28414, -36689?\nAnswer: -46000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 7*r**2 - 6*r - 1. Suppose -2*z + 6*z - 2*i - 26 = 0, 2*z - 19 = -i. Let j be t(z). Suppose -s - 20 = -5*y, -s + y + 3*y = j. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 246.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o, -3*p - 4*o + 34 = 9. Suppose -3*i + u + 17 = -0*u, 0 = i + u - p. Find the third derivative of 5*a**3 - 3*a**2 - 2*a + 2*a - i*a**3 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 71a344 + 13b?\nAnswer: 71a483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**3 + 2*q - 1. Let i be s(1). Let n = i - -9. Solve -20 = -n*l + l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477, 457, 439, 423, 409, 397, 387?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 96, 222, 398, 624, 900, 1226?\n\"Answer: 25*c**2 + c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -224, -1035, -2382, -4259, -6660, -9579, -13010?\n\"Answer: f**3 - 274*f**2 + 4*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/5)\/(1\/5). Let h = 382 + -381. Which is the biggest value? (a) h (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)*p)\/p**5 assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*u - 30356, 27*g - 45594 = 21*g - 4*u. Put -5, -3, g in decreasing order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/396 and 137\/4158?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*z - 7 = -3*m, 0 = 5*z + 10. Let p(k) = -3*k**2 + 34*k - 7. Let i be p(m). Is ((-6)\/(-4))\/((-178)\/i - 1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 + 15*z**2 - 24*z - 13. Let k(h) = -2*h**3 + 8*h**2 - 12*h - 6. Let v(l) = -3*i(l) + 7*k(l). Suppose 2249 = -368*j - 2167. What is v(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 6:36 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 6*j + 11. Let t be n(-3). Suppose -5 = t*u - 3. What is the closest to u in 3\/7, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3136 + -1418. List the prime factors of o.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(1\/(-10)*25\/(-10)). Let r be 1\/(-1) + (-2)\/(-3). What is the third biggest value in -0.1, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1 + f - 3*f + 0*f + 4*f - f + 2*f + f + (-4*f + 0*f + 5*f)*(-2 + 5 - 2))*(0 - 5 + 2)*(0 - 2 - 3).\nAnswer: 75*f - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365404.\nAnswer: 2, 13, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 43728.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccgggggtvgcvtl. Give prob of sequence cctg.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2 + 428 - 24*k - 428 wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -13*s + 2. Let j(d) = -11 + d**3 - 2*d**3 + 0*d**2 - d - 9*d**2. Let m be j(-9). Calculate the smallest common multiple of 20 and v(m).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39465499?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, t: 1, o: 1, n: 2, b: 1}. What is prob of sequence nob?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9532751.\nAnswer: 9532751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-58 - -96) - (1 - -7).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/4104 and -87\/10?\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.37198 + -282\nAnswer: -281.62802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((-7)\/126*-9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 296 and 1776.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482 is divided by 42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 * 49.\nAnswer: 112.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5922 is divided by 319?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 737, -2.81, -2\/9, -1?\nAnswer: -2.81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*t - 79*t - 77*t to i + k*t and give k.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*l + 10 = 0, 9*u - 4*u - 19 = -2*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -412? (a) -0.3 (b) 2 (c) -18 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*u = 208 + 22218 - 3054 for u.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 22, 51, 100, 175, 282, 427?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + 4 + 5 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12632783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3382137l to millilitres.\nAnswer: 338.2137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -216*d**4 - 21*d**2 - 8644 wrt d?\nAnswer: -864*d**3 - 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01580378862 rounded to 6 dps?\nAnswer: 0.015804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 13740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 579 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 6*l. Let f(b) = b**2 - 7*b. Let q(o) = 5*f(o) + 6*r(o). Let t(y) = 10*y**2 - 12*y. Calculate 12*q(k) + t(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*w - 660 = -10*w. Let c = -9 - -13. Solve w*j - 4*j = -c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufeouefouufuofee. What is prob of picking 1 f, 1 o, and 1 e?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -3*q - 15, -38 = 4*q - 34 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x + 7*x - 68880. Does 161 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 6*l - 36 = 0. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eov when three letters picked without replacement from foffooefvoefoovfff.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1816*c**3 + 2158*c**3 - 3437*c**3 + (c - 2*c - c)*(0 + 0 + c**2) in the form f + j*c + d*c**3 + t*c**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -22.31?\nAnswer: 11.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 508464953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25701 is divided by 12842?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21526 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 57000*g**2 + 27 + 2*g**3 + 57000*g**2.\nAnswer: 2*g**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -72a + 82ab?\nAnswer: 7781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3547984 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13453912 is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*k = 719*k - r + 9, -k + r = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65778, 131564, 197354, 263148?\n\"Answer: 2*p**2 + 65780*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**3\/9 + 26*u**2 - 157*u\/3 - 1178. Factor x(n).\nAnswer: (n - 1)*(n + 157)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72849401 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*i + 3. Let t = i + 5. Calculate the least common multiple of 11 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 13 - 54. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 58 = -r, 3*r + 126 = r + 2*x. Let d = 73 + r. Solve -6*m + m = -d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5 + 588*a**4 - 17510*a**3 + 166280*a**2 - 578952*a + 623392 = 0?\nAnswer: -322, 2, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 - (-46)\/(-76). Let h be (-25)\/(-78) - ((-154)\/(-693) + (-8)\/117). Sort 2, q, h, 1.\nAnswer: q, h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1188781952 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542.891638 rounded to 2 decimal places?\nAnswer: -1542.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 8) to base 16.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, i: 4, d: 1, o: 1, u: 4, q: 3}. What is prob of sequence oda?\nAnswer: 7\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/55)*w**(2\/5) assuming w is positive.\nAnswer: w**(24\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -78, 0, 3?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*h + 3*h + 8 = 0, 0 = -v - 5*h + 24. Suppose -v*i - i = -10. Suppose -221 = -3*j + i*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55811483 to the nearest 10000.\nAnswer: 55810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -27, -79, -163, -285, -451, -667, -939?\nAnswer: -1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/238)\/((-3)\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -c6aa8 (base 15) in base 7?\nAnswer: -5233124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 180*j**2 - 2484*j - 5712.\nAnswer: -3*(j - 34)*(j - 28)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.746223 + -6.739. What is i rounded to 4 dps?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 130009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10469112, 10469124, 10469136, 10469148, 10469160?\nAnswer: 10469172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -20*u + 150. What is the second derivative of -8*k - 36*k**4 + u*k**4 + 0*k**4 + 2*k**5 wrt k?\nAnswer: 40*k**3 - 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*o - 12, -5 = -2*o - 4*d + 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 8*q**2 - 8*q + 4. Suppose -12*i - 115 + 7 = 0. Calculate l(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73426?\nAnswer: 2, 36713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 3*z**4\/8 - z**3\/2 + 718*z**2. What is j(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21904*i**5 - 165168*i**4 - 388916*i**3 - 171032*i**2 + 410820*i + 336200 = 0. Calculate i.\nAnswer: -205\/74, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80775*j + 80390*j - 3850 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 727180889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i. Suppose -4*l - 5*d - 7 = -i*d, -l + 4*d = -14. Let w(x) = -3*x + 27. Let f(n) = n - 11. Let v(b) = -12*f(b) - 5*w(b). What is v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czwzzzccccwzz. Give prob of picking 1 c and 3 z.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*f - 3*f + 8 = 0, -4*h = -3*f. Let p be (-8)\/(-20) - (3 - h). Let i = 15 + -38. Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2 - 966*v - 963 = 0.\nAnswer: -321, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 289667271.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Suppose -m = 4*m - 45. Suppose -g*p - 4*n + 28 = 0, 3*p + 2*n = m + 37. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1 + (3 - 2 + 0)*(2 - 3 + 0) + 0 - 2 + 0)*(-3 + v + 3).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 580.916mm in nanometers?\nAnswer: 580916000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65763*o**2 + 144688*o**2 + 5203*o**2 + 31366*o**2 - 1389*o**2.\nAnswer: 245631*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2253 and 31?\nAnswer: 69843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1156064415 + 2?\nAnswer: 1156064420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 7*u + 2*u)*(65*u**3 + 531*u - 531*u) + (1 + 4 - 3)*(4*u**4 - 4*u**4 - 3*u**4).\nAnswer: -266*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1)\/(13 + -12). Let w(v) = -7*v**2 + a*v**2 + 2*v**2 + 3*v**2. Let u(p) be the first derivative of -2*p**3\/3 + 4. Calculate w(u(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 368021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 32*m - 31. Let r be u(-33). Suppose -4*t = -q - 13, -3*t + 20 - 14 = -r*q. Solve t*k = -27 + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(325) - sqrt(325)*1))**2 + ((sqrt(104)*-1)\/sqrt(8))**2 + 0 + sqrt(13) + 1.\nAnswer: sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 10 = -k, 6*k - 5*k - 5*k + 8 = -8*z for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2985 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -566 + 573. Let x be (0 - v\/(-21))\/((-1)\/(-9)). Solve -2*j = x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:45 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -22549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039 times 0.9?\nAnswer: 0.00351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -227*t**2 - 11. Let h(o) = -117*o**2 - 6. Determine -4*b(p) + 7*h(p).\nAnswer: 89*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2\/6 - 39111*c - 469324\/3 = 0.\nAnswer: -234662, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22467701*m**4 - 36984*m**2 + 173*m wrt m.\nAnswer: 539224824*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1910442 by 3.\nAnswer: 636814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2726868 and 104?\nAnswer: 70898568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 2*g - g)*(-15*g - 141*g - 49*g)*(2*g**3 + 0*g**3 + 0*g**3) - 3*g**4 + 3*g**4 - 2*g**5.\nAnswer: 1638*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 11 = -4. Calculate the remainder when (-1)\/(((-2)\/(-9))\/(-3 + o)) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000385454279 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q + 65. Let p = -18 - q. Let m(u) = u**3 - 6*u**2 - 7*u - 2. Let v(k) = 3*k**3 - 12*k**2 - 15*k - 3. Let a(s) = 5*m(s) - 2*v(s). Give a(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151323 + -3?\nAnswer: 151320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**4\/12 - 65*o**2 + 4*o + 1. Let a(i) be the first derivative of y(i). Let d(z) = -6*z + 5. Calculate d(a(j)).\nAnswer: 12*j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*a*y**4 + 30*a*y**3 - 23*a - 2*y**4 + 871*y**2 + 2*y wrt y?\nAnswer: 2304*a*y + 180*a - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37732258 is divided by 1590.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.907813m?\nAnswer: 90.7813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -21885 (b) -8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4*a + 7*z + 62, -5*a + z = -25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3060*p + 15414. Let q be u(5). Solve -14*o = -30 + q for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b + 35. Let j(t) = t**3 - 9*t**2 - 59*t + 96. Let v be j(13). Let z(u) = -5*u - 18. Determine v*z(l) + 3*p(l).\nAnswer: 2*l + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324 - -354. What is the remainder when b is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-18 - (-15 + 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370429 is divided by 131.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-4 - -3 - (6 - 5))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 1154364.\nAnswer: 1154366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 174090014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 9. Let w = -683 - -685. Suppose -2*u + 13 = w*t - 7, -5*u + 3*t + 66 = 0. Sort -2\/5, 2, u, j.\nAnswer: j, -2\/5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16452 - -4?\nAnswer: -16446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523164.\nAnswer: 2, 3, 43597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/15 + 29*g**4\/24 - g**3\/3 + 6234*g**2. Let p(c) = -5*c**2 + 30*c - 3. Give -3*p(q) + 4*u(q).\nAnswer: -q**2 + 26*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.21 - -0.1.\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -0.006, -6, 46, 5.\nAnswer: -38, -6, -0.006, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**5 + 284777*b**3 + b**2 - 3328176?\nAnswer: -180*b**2 + 1708662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34602802 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c - 9147 = -7707 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3659 + -18292\/5. What is the closest to -0.1 in 5, n, -11\/74, -0.2?\nAnswer: -11\/74","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -243\/98 - 1\/49. Let x = 912.3 + -912. Sort x, -2\/5, y, -4\/5 in descending order.\nAnswer: x, -2\/5, -4\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 6 + (3 - -8) + (-9 - 73).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78986*s - 78986*s + 27*s**2.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 132*q**2 - 4021*q + 187. Give b(-47).\nAnswer: 1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*x - 3461 + 6419 - 3*x**3 - 80*x - 2958.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/(-162) + (-7)\/(-126)*4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -8. Let u(l) = l**2 - 6*l - 4. Let s be u(h). Solve -s*i - 2*i = 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(1377) + -3 - 1*(sqrt(1088) + sqrt(1088) + (sqrt(1088)*-1)**2*5).\nAnswer: -5441 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -11*q + 1842. What is the highest common factor of 33 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:32 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*h - 2 + 3 = 0, -h + 3 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 22 = 5*b. Suppose -2*q - 5*m = -1 - 8, 6 = q + b*m. Solve -4*g + 2*z = z - 9, -g - 3 = -q*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -27*s - 7. Let o be (-18)\/4 + (-2)\/4. Let i be f(o). What is i rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)*-1 - (sqrt(78) + -4*(sqrt(78) + sqrt(78) + sqrt(78)*1) + sqrt(78) - sqrt(78)))\/(-6*(sqrt(42) - -2*sqrt(42))\/sqrt(7)).\nAnswer: -13*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -63. Let g be (-12)\/54 + s\/9. Suppose l = -g*l + 48. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 8. Let t = 15 - 12. Suppose 2*o - t*o = 6. Give f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - z + 1. Let a(i) = 3*i**2 - 5*i + 5. What is a(w) - 5*b(w)?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 9. What is the closest to 0.2 in y, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-1)**2 + 3 - (sqrt(243)\/sqrt(9))**2*2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (148\/(-6734))\/(((-20)\/6)\/((-280)\/(-60)))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 2*l + 31. Give b(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5641414.\nAnswer: 2, 2820707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3972776 * 0.2\nAnswer: -794555.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.5 + -0.5. Let v = 4 - j. Which is greater: 0.04 or v?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 21325075*u. Let m(w) = w. Determine m(s(l)).\nAnswer: 21325075*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155460004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 161481 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 1523\/(-2))*2. Is r\/(-5) + (-20)\/(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:41 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3099288 divided by -12?\nAnswer: -258274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.9 - -17. Let i be (30\/(-25))\/((-2)\/(-5)) - -7. What is the nearest to a in 1, -1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7059047 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3415 is divided by 244?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6.7. Let o = -2.3 + u. What is the nearest to 5 in o, -2\/7, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 161\/(-28) + 2\/(-8). Let m = 2 - d. Suppose 0 = 3*s - s - m. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**2\/s)))**(-33)*((s\/(s\/(s\/(s*s**(-1\/3))))*s*s)\/s)**(-2\/23))\/((s**5*s*s*s*s**(-2))\/(s*s**(-2\/9)*s)**(25\/2)) assuming s is positive.\nAnswer: s**(-10328\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/2)*b**(-21)*b)\/(b**(-1\/10)*b\/b**26) assuming b is positive.\nAnswer: b**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + -0.5. Let w = z + 1. Let r be (-33)\/(-133) - (2 + 13\/(-7)). What is the closest to 2\/3 in -2\/17, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197241 and 19393?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 40\/780 + (-867436)\/(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2592832372.\nAnswer: 2, 13, 89, 560249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -345 - -347. What is the third derivative of -7*r + 28*r**5 + 299*r**2 - 294*r**2 - r**6 + v*r**6 wrt r?\nAnswer: 120*r**3 + 1680*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 18, -328, -7, 9, -4.\nAnswer: -328, -7, -4, 2, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(2\/16). Let p = z + 4. Suppose 5*u - 3*b - 10 = 0, p*b = u + 5*b - 2. Solve -h + 5*h + u*q - 2 = 0, 15 = -5*h + q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17560*a**2*r*x**3 - 11*a**2*r*x - 2*a*r*x**3 + a*r*x + 5*a*r + 95*a*x**2 + a*x - 5*r*x wrt a?\nAnswer: -35120*r*x**3 - 22*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 14*c**3 + c**2 + c - 1. Is m(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) 3 (b) -3\/2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.98 + -8.98. Let v = 1.4 + -1.5. Which is the third smallest value? (a) -3 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -6*q + 258. Let l = q + -45. Let r be 2\/(-5) + 28\/(-30). Sort 2, r, l in decreasing order.\nAnswer: l, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 13. Suppose p - 3*q - 2 = 0, 3*p + 3*q = 10 + 8. What is the nearest to 1 in -0.5, p, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4\/d)**20\/((d*d\/(d*d**(-2\/65))*d)\/(d\/(d\/(d\/(d**(4\/15)*d*d))))) assuming d is positive.\nAnswer: d**(11057\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3511.00001649 - 3511. What is q rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964192 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/6 + j**3\/6 + j**2\/2 - 4*j. Give t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18387.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1651, -1648, -1665, -1714, -1807, -1956, -2173, -2470?\n\"Answer: -2*b**3 + 2*b**2 + 11*b - 1662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 7*d + 7*d + 0*d to the form p*d + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -67*b + 223. What is t(5)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5*-3*(-16)\/(-60)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Let s = -21 + 21. Suppose 2*d - 25 = -5*t, 0*d - d + 4*t - 7 = s. Sort -1, d, w.\nAnswer: -1, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 6*u**2 - 5*u + 3. Let r = 8 - 4. Calculate the smallest common multiple of r and z(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99897 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in -2\/9, 5, 9, -43, 3\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let w(r) = m*r + 4*r - 5*r + 8 + 2*r. Let k be w(-4). Put k, -5, -1 in decreasing order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -258, -363, -468, -573, -678, -783?\n\"Answer: -105*n - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u + 65. Let a = 220 + -228. Let y be f(a). Solve -y - 1 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 980 = 15*h. Let f = -131 - h. What are the prime factors of f?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**11*r*r*r*r)**(7\/5)\/(r**(-23)*r**20\/r) assuming r is positive.\nAnswer: r**(139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 122?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.092, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3 - 4 + 2. Let p(w) = -3*w + 4. Let f(k) = -k + 1. Let s(u) = f(u) - p(u). Let q = 26264 + -26263. Determine q*s(z) + 3*h(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 193253.3 and 2.4.\nAnswer: 193255.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -4*a + 8*a + 3*s, -83 = -5*a + s. Let v = 9 + 7. Let c = v + -10. Calculate the remainder when a is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5 - 33025*k**4 - 1121943*k**3 - 8215375*k**2 - 20322856*k - 13196400 = 0. What is k?\nAnswer: -32991, -25, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (-6*sqrt(24) + sqrt(24) - sqrt(24))*3 - sqrt(24))\/((sqrt(384)\/sqrt(8))\/sqrt(4)).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 9, 0.3, -2, -98.86, 1 in descending order.\nAnswer: 9, 1, 0.3, -0.1, -2, -98.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**2 - 6*p - 14. Let o be t(16). Suppose -2*b = -u - o, 1682 = -u + 3*b + 258. What is u rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -389*o**2 - 454*o + 454*o + (-o + 4*o - 4*o)*(2*o - 2*o - 5*o) as y*o**2 + l + b*o and give y.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 251 - 336?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407 + 1698*k + 216 + 191.\nAnswer: 1698*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978*x + 1765*x = 336 - 2697 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 8*n + 5. Calculate o(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -298.2 greater than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + c**2. Suppose -i + 5*i = -4. Let b(a) = 8*a**5 + 2*a**3 + 17*a**2. Let n(t) = i*b(t) + 2*h(t). Find the third derivative of n(m) wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from {c: 4, l: 2, a: 10}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 15, 6\/7 in decreasing order.\nAnswer: 15, 6\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4 - 4204*w**3 + 2233944*w**2 - 25652660*w - 290478650 = 0.\nAnswer: -7, 19, 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) -0.2 (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {x: 6, c: 3, y: 4, p: 1, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + t - 121 = 37, 0 = -4*z - 2*t + 640. Suppose z = 6*r - 42. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - l + 3 = 35, 3*b + 38 = l. Does 17 divide ((-816)\/42)\/(4\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 1, u: 4, b: 2, d: 2, j: 3}. Give prob of picking 1 n and 2 j.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1, 5, 0.4, 7549 in ascending order.\nAnswer: 1\/3, 0.4, 1, 5, 7549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164047342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -158*d**2 - 4*d - d + 5*d as j*d + s + u*d**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 + 30*x**3 - 3*x**2 - 4*x**3.\nAnswer: 26*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -528, 3, -1318 in ascending order.\nAnswer: -1318, -528, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (34607005\/279 - -28) + 4\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32 + -0.368. Let h be (-11)\/6 + (-5)\/(-180)*-6. What is the third smallest value in x, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 55 = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 5332312 + 17*k + 5332312.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*u - 10. Let x(d) = 85*d**2 - 10*d + 10. Let s(w) = -28*w**2 + 3*w - 3. Let g(c) = u*s(c) - 3*x(c). Let q(v) = -2*v**2. What is q(g(l))?\nAnswer: -1250*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + -0.1. Let v be (-3)\/(-9)*1\/(-2). Let h = 0.085 + -0.085. Which is the second biggest value? (a) h (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258369595 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18548\/3725 greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**2 + u**4 + 8*u - 8*u - 8*u**2 wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6642969 and 119499?\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 4*i - 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -6. Let o(s) = s**3 - 16*s**2 + 16*s - 4. Suppose -64 = 4*b - 6*b. What is the remainder when b is divided by o(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 24*b**2 - 20*b - 117. Let z be p(25). Let s be ((-10)\/z)\/((-130)\/208). Let i(t) = t**2 - t + 4. Give i(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 1\/(2\/(128\/4))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 t, and 1 m when four letters picked without replacement from manmyitt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 176, -2\/13, 1, 0.1, -0.05 in ascending order.\nAnswer: -2\/13, -0.05, 0.1, 1, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -4, 6, -5 in increasing order.\nAnswer: -5, -4, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42093733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 3*p**2 - 3*p - 1. Let z = -10 - -8. Let i be y(z). Suppose -b - 3*w + 16 = 1, -5*b = 4*w - 20. Solve 3*d - 13 - i = -o, d + o - 8 = b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = 5*w, 83*w - 4*f - 10 = 84*w. Which is the nearest to -5\/3? (a) 9\/8 (b) w (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 2792997264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14, -0.7, 2, -318, -4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1645700 and -1645701 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*f - 48 = 49*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238 is divided by 246.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-2)*1 + 261\/(-87). Let x = 0.6 + 0. Which is greater: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -97*b + 474. Give l(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14489484 divided by -4\nAnswer: 3622371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 58 - 6*k + 61 - 119 - 5*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 23116?\nAnswer: 23061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476871292.\nAnswer: 2, 119217823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38566 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 25 - 4*y + 5*y + 24*y**2 - 3*y**3 + 4*y**3 + 0*y. Let d be q(-24). Which is the nearest to d? (a) 2 (b) -156 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18 - 21) + (9 - 1). Suppose c = 3*c - 10, -c + 1 = -4*t. Let n be (-45)\/(-51) + (t - 2). What is the nearest to 3 in n, 1\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -1\/8*c**4 + 0 + 21\/8*c**3 + 81\/4*c**2 + 0*c = 0.\nAnswer: -6, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -945a9 + -43?\nAnswer: -94641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 1871 = -5*m + 1823, 2*z + 5*m + 88 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + (13 - (10 - 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/5 + 35083904*o\/5 = 0. Calculate o.\nAnswer: 0, 17541952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216665 or 216663?\nAnswer: 216665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 79.6. Is c equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 - (-546)\/(-3087). Let v = -52\/49 + h. What is the closest to 1 in 1, v, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104192 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhh. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163.52 - -22.61. Let w = 141 + o. Suppose -4*d - 22 = -t + 3*t, -5*t + 3*d = 16. What is the third smallest value in w, 0, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/10)\/((-4)\/((-64)\/4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -67*q - 8 + 8. Suppose -2*r + 21 = -3*r + 4*s, 25 = 5*s. Is j(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 2*q**2 + 3*q - 3. Let u be b(2). Suppose 166 - 22 = u*c. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l**2 - 1. Let k(x) = -104*x**3 - 40*x**2 + 40. What is k(a) + 40*q(a)?\nAnswer: -64*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-117))\/(14\/6)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5387263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3833 = 5*b - 3*u, b - 3*u = 5*b + 3061. Suppose -25*o + 32*o + 9149 = 0. Let h = b - o. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-22185)\/(-2610)*(-142)\/(-136)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 104 = 3*k, 3*k = -k + 5*c - 154. Let b be 14\/8 + k\/48. What is b rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25425.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**6\/5 - 25*u**3\/6 - 13*u**2\/2 + 22*u. Let h(p) be the first derivative of m(p). Differentiate h(r) wrt r.\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 f, and 1 e when four letters picked without replacement from yfyfyey.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 3\/2, 2\/15, -4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233 = 4*z - 616117*k + 616114*k, 5*z - 4*k = -309 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6559 or -6481?\nAnswer: -6559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101001001111101000 - -1?\nAnswer: -10111101001001111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 1 (c) -466 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11307.19 nanoseconds?\nAnswer: 11.30719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157 - 132. What is the remainder when c is divided by (-308)\/(-55)*((-21)\/(-6) + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-2) + 1\/1. Let h = n - -4. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*t + 64360 = -133693. Calculate the greatest common divisor of 23 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-19 + 33 - (47 + -1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1652 and -103\/1298.\nAnswer: 18172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 + 8*p**2\/7 + 2*p\/7 - 12\/7.\nAnswer: 2*(p - 1)*(p + 2)*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 34. What is the units digit of (p - -1) + -2 + 27\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 76. Let s = 29 - j. Suppose -131 = -5*f + 2*z, -81 = -3*f - 4*z + s*z. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1841 + 675. What is the hundreds digit of (-1)\/(7544\/g - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010011010001 (base 2) in base 4?\nAnswer: 2103101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - v + v**2 + 1\/4*v**5 + 3\/4*v**3 - v**4 = 0. Calculate v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 - 39*x + 47. Let q be b(12). Solve 0 = 13*g - q*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 64278*y + 1028441. Calculate j(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**5 + 45653*u**4 + u**3 - 31*u**2 + 43*u + 20?\nAnswer: 60*u**2 + 1095672*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 5 - (18 - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22165?\nAnswer: 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 9*m - 6. Let o be w(8). Let v = o + -2. Suppose v = 2*g + 2*g - 364. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 93597916 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, 10, 2\/9, 160, -0.06, 0.2, 0.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3939849*k - 1. Let y(d) = -5*d**2. Give w(y(b)).\nAnswer: -19699245*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**4\/2 + 5*c**3\/2 + 7*c**2\/2 - 5*c\/2 - 3 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/12)\/((-21)\/(-21))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2248375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-30) + 32\/40. Solve z*k + 3\/5*k**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*r + 5*r + 8*r)*(-1 - 3 + 2 - r)*(3 - 4 + 2) to w + t*r**2 + p*r and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.8 and 0.039?\nAnswer: 0.2262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 4*n**2 - 4*n. Let l be (32\/(-4) - -5)\/1. Let d(h) = -h**3 + h**2 - h. What is l*v(j) + 12*d(j)?\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7842 - -7885. Is r equal to 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q. Let l be d(-1). Is -3*(l\/1 - -3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-4 - -3)*-5. Let z(c) = c**2 - 6*c + 3. Let n(o) be the third derivative of o**5\/60 - o**4\/4 + 2*o**3\/3 + 1068*o**2. Give r*n(j) - 4*z(j).\nAnswer: -j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7820\/(-272))\/((-5)\/264). Suppose f + b - 365 = 2224, 5*f - 4*b - 12963 = 0. Let c = f - j. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -19*a + 2*a**2 + 5 - 20 + 29*a. Let k be p(-11). What is the highest common factor of 78 and k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4483*l + 5798*l - 63120 = 0 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(sqrt(448) + 1*sqrt(448))**2.\nAnswer: -3584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/50 in 4, -0.3, 2\/3, 16, -37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -5*u + 44 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2021112200 (base 3) to base 8\nAnswer: 127501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 10232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3017429 is divided by 1508643.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 0*c**3 + 0*c**3)*(2*c + c - 4*c) + (3 + c - 3)*(-6*c**3 + 14*c**3 + 5*c**3).\nAnswer: 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -320, -744, -1276, -1916, -2664, -3520, -4484?\n\"Answer: -54*q**2 - 262*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2281*y - 4. Let p be n(3). Let f = 3739 - p. Round f to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.335 + 0.075. Let x = a - 0.61. What is the biggest value in 5, -0.4, 1, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -497336, -497338, -497340, -497342, -497344?\n\"Answer: -2*m - 497334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxagagxel. Give prob of sequence oa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22108.\nAnswer: 2, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twtwo. What is prob of sequence ot?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-37 + 1 - (26 + -36))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2720.\nAnswer: 2716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 56641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36284, 36403, 36566, 36779, 37048, 37379, 37778, 38251?\nAnswer: 38804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3363 - 3364. Suppose 5*r - 36 = n + 3*n, -8 = 2*n. Let b = 4 - r. Put -1\/4, v, b in descending order.\nAnswer: b, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/209 and -63\/396854.\nAnswer: 82942486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 355 - 348. Solve -15 = -5*w, 4*w = -2*u + y*w - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**6\/120 + r**5\/5 - 5*r**4\/12 + r**3\/6 + 3*r**2. What is the units digit of p(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*z + z. Suppose a - 8 + 12 = z. What is the units digit of 17*(0\/a + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**12*c)*c)\/c*c**18)\/(c**16\/((c\/((c\/((c**(1\/14)*c)\/c))\/c))\/c*c*c)) assuming c is positive.\nAnswer: c**(-111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - v = 2*v + 39, 140 = 5*r - 4*v. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1356 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 338.334.\nAnswer: -203.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 2453720976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 31 = 230. Let m(j) = -3*j + j**3 - 84 + 3*j + w - 5*j - 4*j**2 + 2*j. Calculate m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 79 = 4*l, r + 40 + 45 = 5*l. Suppose 5*i - l = i. Suppose 2*p + 60 = 3*h, -4*h - i*p + 20 = -3*h. Solve 2*b = -2*b - h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0 (c) 1.985 (d) 1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1*(-7)\/105.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y - 1. Let t be u(-1). Let w(s) = 2*s**3 - 9*s**2 + 10*s - 6. Let j be w(t). Suppose 8 + j = 5*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0 + 0*r**4 + 0*r**6 - 2\/3*r**3 + 6*r**2 + 0*r**5 + 0*r - 1\/21*r**7. What is the derivative of n(g) wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (88\/(-28) - -4)*(-14)\/(-3). Suppose 0 = 2*a + 2*s - 54, 0 = 5*a - x*s - 0 - 90. Calculate the least common multiple of a and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 24192 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/(p*p*p\/p**(-1\/4)*p))\/((p\/(p*p**6))\/p**(-5)) assuming p is positive.\nAnswer: p**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 7140915.\nAnswer: 28563660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c54 + 14a71?\nAnswer: 12c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:24 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 102869894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-36))\/(9\/24) + 56\/12. What is h in 0 - 4\/7*h**y + 2\/7*h**2 + h**3 + 0*h = 0?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/60 - v**4\/6 - 3*v**3\/2 + v**2. Let r be j(7). Suppose u = -0*u + r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 + -1.93. Which is the second biggest value? (a) -1 (b) x (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1134847 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2765*o + 2101*o**2 + 1611692 - 1611692 wrt o?\nAnswer: 4202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m - 138. Let d be t(4). Which is greater: -184 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -l - 31 + 124, 0 = -2*a + 4*l + 68. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 62, -42, -9, -23 in decreasing order.\nAnswer: 62, -2, -9, -23, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 218492.\nAnswer: -8739.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -66591*a. Let y(n) = 2*n + 30. What is y(b(j))?\nAnswer: -133182*j + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 550340, 550415, 550530, 550685, 550880?\nAnswer: 551115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - 3101*p**3 - 3097*p**3 + 9323*p**3 - 3110*p**3.\nAnswer: 15*p**3 + 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 - 11.61. Let f = i - -11.8. Sort f, 8, 5 in descending order.\nAnswer: 8, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12 + (11 - -4) + 514\/(-128) and -97\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -2. Let w = c + 12. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y - y. Let i = 13 - 9. Calculate the lowest common multiple of (-2)\/6*i*-3 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88607346.\nAnswer: 2, 3, 157, 94063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.106+0.7\nAnswer: 0.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*t = 14620, 2*g + 4*t = t + 7328. What is the greatest common factor of 62 and g?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 6 = 0, -2*z = -2*g + 7*z - 13*z - 1 + 9 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -2*b**7\/105 + b**6\/120 + 121*b**5\/60 + 473*b**4\/8 - 20*b**2 + 15*b + 1. Find the second derivative of w(c) wrt c.\nAnswer: -48*c**2 + 6*c + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m**2 - 155*m + 347. Give c(-22).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 174197499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5*r + 4*r + (-4*r - 3*r + r)*(1 + 0 + 0) + 3*r - 4 + 4)*(-24*r - 1 + 12*r - 6*r).\nAnswer: 72*r**2 - 50*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -794515.219 to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130198 to the power of 1\/2, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2103 + -113130202?\nAnswer: -113122033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1543*g + 1349*g = -388 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 divided by 21?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -6.1. Let c(x) = -x**3 + 7*x**2 - 7*x + 4. Let m be c(6). Let z(u) = u. Let d be z(m). What is the nearest to d in 1\/3, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**3 - l**2 - l. Let p be t(-1). Suppose 0 = 3*r + 78 - 12. Let h be 1\/2 - r\/(-4). Sort 5, h, p.\nAnswer: h, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 105*b - 1590 = -3*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-2 + (-2336)\/(-1176)). Suppose 8*c - 3666 = i. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 84172?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1222 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k + 64 = 62*k. Suppose -4*r + 5*w + 2048 = 0, 12*w - k*w = -16. What are the prime factors of r?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/(4\/8). Suppose 5*o + 5*q - 60 = 0, 26 = 3*o - n*q + q. Calculate the remainder when o is divided by ((-12)\/2 - 0)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*p**3 + 2301*p**2 - 6088*p + 4048.\nAnswer: -(p - 253)*(3*p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8 = d + 4*k, 3 = -d + k. What are the prime factors of ((-15)\/6 - d)*-16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q = q - 81. Solve -2 = q*m + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1606 + 547 + 533 + 526 + 208*v.\nAnswer: 208*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 4 + 0*s**3 - 1\/36*s**4 + 0*s**2 + 2*s. Let j(d) be the first derivative of o(d). Let j(q) = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10925946 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3826, 7093, 10362, 13633, 16906, 20181, 23458?\n\"Answer: m**2 + 3264*m + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:03 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*10*67\/(-134).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/3 (b) 519\/4 (c) 0.1 (d) 0 (e) 3 (f) -0.967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) - (sqrt(1573) - (-2*sqrt(1573)*5 + sqrt(1573))).\nAnswer: -99*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, -5, 9, 90.\nAnswer: -239, -5, 9, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 - -7)*((-2)\/(-2))\/(-1). Let d be t*18\/12 + (-7 - -1). List the prime factors of 8\/(-12) + (d - (-203)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 12 = -6*i. Calculate the remainder when 5 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1617928.\nAnswer: 2, 13, 47, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 = -10. Let q be (-1)\/(1 - (7 - 3)). Which is the third smallest value? (a) q (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**5\/4 + 7*o**4\/24 + 2*o**3\/3 + 4*o**2. Let k be t(-5). Suppose 0 = 4*b + 3*p - k, -2*b + 199 = 2*p + 29. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + 0.1. Suppose 12 - 8 = -b. What is the closest to -1\/4 in l, b, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 10:09 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37629 and 801?\nAnswer: 3348981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -784130 (base 11) to base 5.\nAnswer: -304444323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 = -0*j. Let b be (0*1\/3)\/(j\/(-1)). Solve 5*a + 4*n - 5 = -b, n = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 9. Let u be j(7). Let d(h) = h**2 + 8*h + 4. Let b be d(-8). Put 3, u, b in ascending order.\nAnswer: u, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*a - 970 = -3*t, -t = -3*a - 501. List the prime factors of t.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10015 (base 8) to base 7\nAnswer: 14660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -15. Let i = 4 - j. Let w = -9.7 - i. What is the smallest value in w, -0.5, -2\/23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 1062*p**2 + 1071*p + 2130 = 0. What is p?\nAnswer: -355, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.5 + -1544.346649?\nAnswer: -1682.846649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2051151 and 110643?\nAnswer: 8511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 5*g**2 - 3*g - 5. Let x(y) = y**2 - 6*y - 10. Let f be x(8). Is j(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/120 + m**5\/10 - m**4\/4 + 7*m**3\/3 + 37*m**2. Let d be g(5). Suppose 2*a + 27 = d. Let x(q) = 2*q + 13. What is x(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 300000 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 21. Is 8 a factor of (w\/(-12))\/((-1)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:31 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -1\/730, -5, -0.9?\nAnswer: -1\/730","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.72 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4 = 2*j, 6*j + g - 8 = 2*j. Find the common denominator of (1 + 5\/4)\/((-225)\/30) and (-5)\/j*(-9)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -1\/15*g**5 + 5\/12*g**4 + 0*g - 1\/2*g**3 + 0 + 3*g**2. Let h(q) be the first derivative of i(q). Differentiate h(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507 - 507 - 17*w + 14*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12028 and 183815?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767 is divided by 301.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*i + 0*i - 4*i)*(-1 - 2 + 5)*(-3 - 5 - 1) in the form v + a*i and give a.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i + 29. Let t(h) = 11*h**2. Determine t(d(y)).\nAnswer: 176*y**2 - 2552*y + 9251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*s + 7 = -g, -2*s + 5 = -3*g. Let a = 47 - 37. Suppose z - 3*z - a = 5*v, 2*v + 4 = -5*z. Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 253*a**2 + 4*a**3 + 3*a**3 - 2*a**3 - 6*a**3 to the form f*a**3 + u*a**2 + o + k*a and give u.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-100) + 1*77\/55. Determine y so that 4*y**3 - y**5 - 6*y - 3\/2*y**4 + 5\/2*y**d + 2 = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*c + 205*c - 14584 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -428182600 rounded to the nearest one hundred thousand?\nAnswer: -428200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/128 and 11\/3698.\nAnswer: 236672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - c + 5. Let v be p(0). Suppose -2*w = -v*g - 1 - 13, 2*g - 4 = 0. Solve 5*j - 4*j = 4*o - 14, 0 = 3*o - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h + 2*h - 40*h - 115*h in the form b*h + j and give b.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l + 11. Let h = l + 1. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19827 + 9?\nAnswer: 19836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a day?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 191 + 4. Let f = t - 193. Solve -f = r - i - i, -4*r = i - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 610499*0.32\nAnswer: 195359.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05764 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 17*s. Suppose -5*y + 31 = -3*r, 2*y - 18 = r - 6. Let p(h) = 0 - 5 + 5*h + y. Determine g(p(b)).\nAnswer: 85*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 90 = -t, 3*t - g = -6*g - 260. Let v be t\/40 - 1*-2. Let o(l) = -l**3 - l**2 - 1. Let r be o(0). Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6251486526 + 0.\nAnswer: -6251486526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = -3*a + 1622. Suppose -4*s - 356 = a. Is (s\/9)\/(2\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3 - 10*r**2 + 23*r - 14 = 0. Calculate r.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39537, -39535, -39527, -39513?\nAnswer: -39493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*i + 15*i + 36, 0 = -5*v + 4*i + 26 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3378\/1126*30\/(-18)*7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z - 8*r + 8*r + 113 = -r, 4*r = 21*z - 90 - 47 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 + 2 = 0. Let h(r) = -4*r - 2. Let j(k) = 9*k + 5. Let t = -14 - -28. What is t*h(l) + u*j(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Factor 2*i - 3*i**n - i**3 + 2*i - 6*i.\nAnswer: -i*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*r - 81, r - 55 = -r - 3*t. Let y be 4\/r + 0 - 3001\/(-13). Find the second derivative of -17*k**2 - 3*k - 231 + y - 5*k wrt k.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:42 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 249, -1, 0, 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5303052 divided by -139554\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4095504710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 704 + -799. Let q be (2\/16*-2)\/(p\/304). Factor 0 - q*y + 2\/5*y**2 + 2\/5*y**3.\nAnswer: 2*y*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*u + 3*n = -8, 4*n + 10 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -221, -199, -175, -149, -121, -91?\n\"Answer: r**2 + 19*r - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**3. Let y = -50 + 78. Let q be 3*(2 - y\/12). Calculate p(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 18 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 2:05 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2151 - -17243\/8. Find the common denominator of a and 68\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**3\/3 + 7*u**2 + 29*u + 70. Let m be g(-11). Let n be 1 + 1\/(-1) + 0. Sort -0.04, n, m in descending order.\nAnswer: n, -0.04, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 - 3. Let o = 5620 + -5632.5. Let l = i + o. Which is the second biggest value? (a) -2\/5 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190142574.\nAnswer: 2, 61, 67, 145601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -93*r**3 + 11*r**2 + 4*r - 52. Let m(x) = x**3 - 3*x**2 - x. Let i(k) = 4*m(k) + n(k). What is the third derivative of i(z) wrt z?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12828 is divided by 3202.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - (78\/(-27) - -2) and ((-8)\/(-32))\/((-68)\/(-74) - 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 10) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, -2, -78523 in decreasing order.\nAnswer: 133, -2, -78523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (206\/6)\/(9\/66). Let h = -252 + b. What is the nearest to 0 in 4, h, 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n + 2441 - 5570 - 3485 - 48*n.\nAnswer: -40*n - 6614","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10452558, 20905116, 31357674, 41810232, 52262790?\n\"Answer: 10452558*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 11. Let o be f(8). Suppose 0*p = -o*p + 15. Suppose v = -5*m - p + 17, 41 = 4*v + 5*m. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1 + l + 4 - 3*l - l. Let v(s) = -12 + 14 + 0*s - 4*s + 2*s. What is 4*j(n) - 5*v(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 11.0929. Let i = -0.08456 + p. What is i rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0545 + 0.4455. Let i = -132.4 + 132. Which is the second biggest value? (a) -0.3 (b) q (c) i (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*v**3 + 902*v**3 - 456*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10772255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11391, 22778, 34163, 45546, 56927?\n\"Answer: -p**2 + 11390*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*x**2 - 5*c*x - 7*c + 14830*x**3 - 5*x + 464 wrt x?\nAnswer: 4*c + 88980*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19774.97873 - 0.0458.\nAnswer: 19774.93293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7128293*h**5 + 4*h**4 - 2*h**3 + 9183540*h**2 wrt h.\nAnswer: 427697580*h**2 + 96*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*a**3 - 2340*a**2 - 73008*a - 421824 = 0. Calculate a.\nAnswer: -52\/5, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.17, 4\/7, 78, 0?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 81?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -n + 3203, -4*q + 1709 = -3*n + 11318. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224055647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60377, -123987, -187607, -251243, -314901, -378587, -442307?\nAnswer: -506067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 226. What is r(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154730.\nAnswer: 2, 5, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a day in minutes?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3575 = 5*q, -3576 = -3*u + u - 4*q. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-3 - (-5)\/(-10)). Which is the nearest to w? (a) -0.4 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373337.5um to meters.\nAnswer: 0.3733375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2466?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (51\/3 - 0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 2*f**3\/3 + 2*f**2 - 8. Let k be y(-5). What is the tens digit of (k\/4 - -2)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 798414179 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w - q + 5, -w + 2*q - 6 = 0. Suppose w = -2*b - 0*g + g + 3, g = -4*b + 21. Solve -4*u + 4*s - 4 = 0, -b*u - 10 = -s + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*-2)\/sqrt(10) - (sqrt(100)\/(sqrt(4) - 2*sqrt(4)))\/sqrt(5).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -76. Suppose -5*h + m - 6*m = -l, 4*h + m - 76 = 0. List the prime factors of ((-2)\/(-5))\/(2\/h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**3 - y**2 - 16*y + 40. Calculate w(3).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -3*i + d, -5*i + 4*d + 34 = 0. Suppose -3*y - 3*c - 12 = 0, 0 = -5*y - 0*y + c + i. List the prime factors of y - (-8 + -2 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -63, -106, -171, -264, -391, -558?\n\"Answer: -s**3 - 2*s**2 - 14*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-2\/3)*(k**(1\/3)*k)**(2\/107)*((k**(-2\/5)\/k*k)\/((k*k*k**3\/k)\/k*k))\/(k**(-7)\/(k*(k\/(k*k**(-4\/7)))\/k*k)) assuming k is positive.\nAnswer: k**(62126\/11235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -158, -4 in ascending order.\nAnswer: -158, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -608, -1555, -2494, -3425, -4348, -5263, -6170?\n\"Answer: 4*a**2 - 959*a + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1072969538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 8830188.\nAnswer: 97132068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m**5 - m**4 - 378*m**3 - 23488*m**2?\nAnswer: 360*m**2 - 24*m - 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23004, -92044, -207118, -368226, -575368, -828544, -1127754?\nAnswer: -1472998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013814893 rounded to six dps?\nAnswer: 0.013815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2\/9, -0.18, 1\/12, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 4:01 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30180*g + 42538 with respect to g.\nAnswer: -30180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29159\/2475 - -106\/9. Let x = 33403374 - 82673349559\/2475. Let g = x - p. Sort -1, -3\/7, g in ascending order.\nAnswer: -1, -3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -679, -1605, -2973, -4825?\nAnswer: -7203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 522810 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/9)\/((-1)\/9). Let f = 3 - d. Solve s + 5*q - 7 = -22, -2*q - f = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 588 (b) 21.4912 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 27*w**5 + 159*w**4\/4 - 742*w**3\/9 - 74*w**2\/3 + 8*w\/3 - 5546. Determine x so that n(x) = 0.\nAnswer: -2, -2\/9, 2\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xddaxaaaad. Give prob of picking 2 x.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1977916450 by -1.\nAnswer: 1977916450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/32)\/(i**2\/i)*i**2\/i**(-14) assuming i is positive.\nAnswer: i**(479\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m - 1. Let r(y) = 6*y**2 + 7*y + 7. Let x(v) = -28*h(v) - 4*r(v). Let p be x(-1). Solve k - 5*u + 8 = 0, -4*u = p*k - 9*u + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2 - 46*j**2 - 29*j**2 + 15*j**3 + 79*j**2 to m*j**3 + n*j**2 + f*j + l and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = a - 39, -a - 31 = -2*a - 2*s. Solve v = a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, and 1 a when three letters picked without replacement from qocvacoocwco.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*a + 67*a + 147*a + 66*a in the form p + z*a and give z.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -222?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6775 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 320 - 227. What are the prime factors of f?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -632656 - -1735553. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162 divided by -81.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {h: 5, j: 1, i: 2, m: 2, v: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w + 660 - 876 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2907*r**6 - 364*r**2 wrt r.\nAnswer: 348840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -7\/3*x**3 + 0*x - 4\/5*x**5 - 7 + 0*x**2 + 0*x**4. What is the third derivative of l(v) wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1691 + 2634. What is the highest common factor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -313*t + 385.\nAnswer: -313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 899054 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -650.97 - -651. Is -2 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78636 and 189852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.6 + -0.4. Put -1, w, 0.1 in decreasing order.\nAnswer: 0.1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -3*v**4\/4 - 3*v**2\/2 + 47*v. Differentiate l(b) wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -474865 minus 375?\nAnswer: -475240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1. Let j(z) = -z - 12. Let b(m) = -j(m) - 5*w(m). Let p be b(-6). What is the common denominator of -49\/90 and (142\/36 + p)\/(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -904*w**2 - 901*w**2 + 3 - 6*w - 892*w**2 + 2516*w**2 as p*w**2 + l + q*w and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 7*x + 12. Suppose -x*q = -4*q. Let j(k) be the second derivative of -k**3\/6 - k**2\/2 - 3*k. Calculate j(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46, 47, 38, 13, -34, -109, -218, -367?\n\"Answer: -l**3 + l**2 + 5*l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.622162ml?\nAnswer: 0.003622162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**3 - 5*c**2 + 10*c - 5. Let r(d) = 7*d**3 + 6*d**2 - 11*d + 6. Give -5*r(m) - 6*z(m).\nAnswer: m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -22*q - 291. Determine w(-11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -s + 5, -s - 4*s - 2*p = 14. Let z = 428965 + -428961. Sort z, -8, s in descending order.\nAnswer: z, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 509102095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3100342179 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127*i**4 - 2*i**3 + 1869 wrt i.\nAnswer: -508*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101100000 (base 2) in base 8?\nAnswer: -13540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.05 - 0.05. Let h = v - 11. Let g = h + -10. Which is the smallest value? (a) g (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000473744306 rounded to seven decimal places?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 132, -1.\nAnswer: -5, -1, 2, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.891876 to 1 dp.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -5) + 1 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/548 and -91\/12.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*a - 4, -18 = -5*a - 0*n + 3*n. Let k = a + -7. Let r be k\/(2 - 1) + -229999. Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/3 - 411*y + 2. Let q(r) = -25*r - 10. What is q(f(s))?\nAnswer: 50*s - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 0*a + 35 = -7*q, 0 = 8*a - 5*a + 3*q - 7*q - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3286)\/(-72292))\/((-8)\/33)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5388 divided by 5?\nAnswer: 5388\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -13) + 3 + -3 + -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 4. Let p be c(0). What is the common denominator of ((-61)\/3)\/(p + 1) and 35\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonxnixooxoxui. What is prob of sequence on?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence six when three letters picked without replacement from sxxxxxxixxsixxi.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3\/7 - 30*o**2\/7 + 69*o\/7 - 6 = 0 for o.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 6:54 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.059 + -1.871. Let t = k + 13. Let c = t + -0.16. What is c rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.1+-863594282\nAnswer: -863594283.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*x - 158, 8*j - 4*j + 208 = 4*x. Suppose -27 = 13*i - x. Let y be (-8)\/(-28) + 4\/(-14). Solve i*v + 6 = -g, -5*v - 15 = -g - y*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*2\/((-8)\/(-84))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 99\/27 + 4\/3 + 0. Let 15*r**4 + 30*r**2 + 3 + 30*r**3 + 84*r + 75*r - 144*r + 3*r**j = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27.01 and 0?\nAnswer: 27.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -595, -1185, -1769, -2347, -2919?\nAnswer: -3485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 7. Let a be (z\/(-4))\/(2\/16). Solve s = -a*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/30909600 and 149\/1373760.\nAnswer: 61819200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246*(-1 + -22)*80\/(-160) and 11.\nAnswer: 31119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*a - 5 = -25, 0 = 5*s - 4*a - 23. Suppose -4 = -2*t - 2*t + 3*c, -8 = -s*t + c. Suppose -t*i = -i - 33. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 6*v**2 + 4*v + 2. Let o(x) be the second derivative of x**5\/20 - x**4\/12 + x**2\/2 - 8*x. Let f(w) = 2*o(w) + t(w). Calculate f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*-2 + -1 + sqrt(450) - sqrt(450) - sqrt(450)) + -2*sqrt(450) + -1 + 0)**2.\nAnswer: 300*sqrt(2) + 11254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-4)\/((-12)\/(-21)) - (-25 + 23))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 27 - 31 = 0. Suppose k*a + 3*d = -3*a + 36, -3*d = 2*a - 9. Suppose 57*w - 58*w + a = 0. Solve -w = 4*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 531, 1062, 1603, 2160, 2739?\nAnswer: 3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42990016 and 88?\nAnswer: 472890176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88, -145, -172, -169, -136?\n\"Answer: 15*o**2 - 102*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 2\/23, 3, 2, 1\/29, 0.1 in decreasing order.\nAnswer: 3, 2, 1.1, 0.1, 2\/23, 1\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/786 and 145\/966?\nAnswer: 126546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-520))\/((4\/(-30))\/(-1))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5300474.\nAnswer: 2, 2650237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -10.9. Which is the nearest to o? (a) 2 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + q**2 + q. Let x(s) = -3*s**3 - 6. Let j(o) = -4*i(o) + x(o). Let u be j(5). Let m = u + 2. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - l = -15, -6324*j + 9 + 36 = -6323*j + 5*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 1358*j - 276142. Give b(249).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -633, 2, 26, -30 in descending order.\nAnswer: 26, 2, -30, -633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1124\/18 - 28\/63. Let w = u - 59. Find the third derivative of -5*t**w + 6*t**3 - 46*t**2 + 4*t**3 + 9*t**2 wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {t: 4, y: 3, a: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -58. Let t be 6*(l - 960018\/(-9)). What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/2)\/(88\/(-132))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 674*i**2 - 2*i + 1. Suppose 5*t - 3 = 2*t. Is x(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/36*18\/16)\/(-18)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 596320313 to the nearest integer?\nAnswer: 24420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 33199804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*x - 2, -2*x + 3*j = 6 - 0. Suppose -3*a - 10 + 19 = x. Suppose a*k - 86 = 76. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*j**2 - 4*j**2 + 0*j**2 + 3*j**4 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 21. Let f(p) = 7*p**3 + 3*p**2 - 3. Let s(m) = m**3 + m**2 - 1. Give t*s(w) - f(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (1 + 2*((-2 + (sqrt(128) - (sqrt(128) + 3 - sqrt(128))) + sqrt(128) - sqrt(128)) + sqrt(128)) + 3)**2.\nAnswer: -384*sqrt(2) + 2084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 51*m + 103. Let s be i(-2). Suppose 0 = -2*z + 5*t + 15 - 3, -2*t - 4 = -z. Let p(x) = x**2 + 5*x + 4. Let b be p(z). Which is bigger: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a - 8. Give k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 - -15?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219630333?\nAnswer: 3, 13, 193, 29179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33572.\nAnswer: 2, 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 10, o: 6}. Give prob of picking 1 w, 2 o, and 1 m.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (205\/(-164))\/(-2 + (-5070)\/(-2520))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - (-5)\/(-4). Let v be ((-446)\/(-6))\/(20\/15). Let w = v - 56. Is u smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/3 - 38080*d\/3 - 14996064 = 0. Calculate d.\nAnswer: -1116, 20156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16189488 divided by -8094744.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-243)\/(-87))\/3 - -2. Let s = v - 282341\/96338. Let c = s + -112955\/23254. What is the common denominator of -28\/9 and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 347393028 a multiple of 3288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24623 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1503 and 3681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 60, 77, 94, 111?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1415206332 - -1415206127.9999841. Let x = y - -204. What is x rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464*m + 466*m = -6. Which is the second smallest value? (a) 15 (b) m (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3683020.\nAnswer: 2, 5, 11, 16741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*m + 28, -2*o + 3*m = -7*o + 8. Solve o*q + 23 = -h, 0 = 2*h - 0*h + 5*q + 31 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 688076 and -25.\nAnswer: -17201900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032519 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*d - 126 + 226 - 111 - 96 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**2 + r. Let o(h) = -2526*h + 5031*h - 2554*h. Give q(o(w)).\nAnswer: -14406*w**2 - 49*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 2*(-5)\/(-2). Suppose n - 5*l + 3*l + 2 = 0, m*l - 6 = 0. Suppose 12 = -4*j - 2*v, n*j + 0*v + 8 = -2*v. Sort j, 5, 0 in increasing order.\nAnswer: j, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.27678 and 904.8772?\nAnswer: 905.15398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6220 (base 7) to base 11.\nAnswer: 16a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 13 = 6*s. Suppose 600 = -s*m - 32. Let d = -107 - m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21951 smaller than 21930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*(x\/x**(4\/5))\/x*x**(-2\/13))**(-12\/13))**(2\/49) assuming x is positive.\nAnswer: x**(-456\/5915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2908996?\nAnswer: 2, 727249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -291*p**3 - 2*p**2 - 6*p - 3. Let c be x(-1). Let o = c + -175. What is the greatest common factor of 27 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 8:06 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -10, -u - 15 = 2*x + 2*u. Solve 2*l = 2*o, o + o + 2*l = x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959630983 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -3*x + 3*w + 42, -w - 37 = x + 4*x - 22 + 27 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 10 - 34. Let n = 34 + -21. Suppose n + 107 = c*q. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-32))\/((-15)\/18). Let l = 18\/43 + 297\/215. Suppose 3\/5*n**2 - r*n**3 + l + 3*n = 0. What is n?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*y - 3*m, 4*y + 2*m = 20. Solve -5*k + 3*v = -12 + 4, 0 = y*k - 5*v + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - 4*j**5 + 0*j**3 + (6*j**4 + 4*j**2 - 4*j**2)*(5*j - 3*j + 0*j).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/60 and 49\/((-445900)\/3720) + 4\/14.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 6. Let b be z(-1). What is the biggest value in -14, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - -0.22. Suppose 9*j + 246 = -555. Let h = -713\/8 - j. What is the second biggest value in v, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2. Let l = -4 - -1. Let q(z) = -3*z + 2. Let f(y) = 2*y - 3. Let s(t) = l*q(t) - 2*f(t). Determine u(s(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14721.0228 rounded to the nearest integer?\nAnswer: 14721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gssuluuaaus. What is prob of picking 1 l, 1 g, and 1 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -6, -1, 64, -8\/2265 in ascending order.\nAnswer: -6, -1, -2\/3, -8\/2265, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.03266413?\nAnswer: 0.003266413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1109 - 1115. Let n(f) = 0*f - 7 + 3*f**3 - 2*f**3 + 3*f + 7*f**2. Determine n(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 422770 and 20823?\nAnswer: 13951410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -915\/26 + 204\/13. What is the common denominator of u and 89\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45860.254 to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 76.29134\nAnswer: 152.58268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 1. Let h(n) = -1. Let k = 12 - 6. Let s = k - 5. Calculate s*l(j) + 3*h(j).\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - -0.39. Let j = d + -0.2. Let n = j - 0.3. Sort n, 1, 0.\nAnswer: n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/4 or -273876?\nAnswer: -273876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)\/i**(3\/2)*(((i**(-2)\/i)\/i)\/i*i*i)**(-19\/2))\/((i\/(i*(i*i*((i\/i**(-3))\/i)\/i)\/i))**(-49))**(-35) assuming i is positive.\nAnswer: i**(36206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:11 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 plus -32?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o. Let c(i) = -12*i**2 + 10*i - 10. Let l(z) = -4*z**2 + 3*z - 3. Let q(g) = 3*c(g) - 10*l(g). Determine q(v(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6958726776.9999298 + -6958726024. Let y = i - 753. Round y to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2580594 (base 10) to base 13\nAnswer: -6c47a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - -1. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -47*(-8 - (-466)\/58). Is -2 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10*15\/20)\/(3\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-70)*(-4046)\/(-369342)?\nAnswer: -1\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.31 + 57.69. Let y = z - 58.95. What is the smallest value in -1\/10, 0.3, y?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*w**2 + 11*w**4 - 339*w**3 + 339*w**3 wrt w?\nAnswer: 264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3. Let d(w) be the second derivative of -w**5\/10 - w**4\/4 - 3*w. Let l(q) = d(q) + 4*u(q). Find the third derivative of l(i) wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2160 and 65961000?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1661*f + 1662*f + 135 - 71 - 64. Let v(n) = -2*n**2 - 45*n - 2. What is b(v(w))?\nAnswer: -2*w**2 - 45*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 119466926983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -937, -3778, -8525, -15184, -23761?\n\"Answer: -z**3 - 947*z**2 + 7*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10203 - -2222?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3 = 0, -5 = 5*r + 11*l + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39990330 rounded to the nearest one hundred thousand?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-15)*k)\/(k*(k**(1\/7)\/k)\/k*k*k)*(k*k**(4\/5))**(2\/19) assuming k is positive.\nAnswer: k**(-9279\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, s: 4, e: 3}. What is prob of sequence gs?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/121 and ((-21)\/(-10))\/((-462)\/245)?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = 0, s + s - 5*l = 15. Suppose -13 = -s*d + 77. What is the greatest common divisor of 360 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7280683 from 14.4.\nAnswer: 7280697.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 + m**4 + 13*m**4 + (7*m + 23*m - 6*m)*(-m**3 + 0*m**3 - 3*m**3) to the form v*m**4 + k*m + d*m**2 + c*m**3 + b and give v.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(38\/12)*(-8)\/3. What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1079*y**4 - 106*y**2 + 2 wrt y.\nAnswer: 25896*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 105*b - 118. What is o(2)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(1\/11)*c\/(c\/((c**(2\/17)*c)\/c))*(c**(-2\/7))**(-3\/2) assuming c is positive.\nAnswer: c**(2143\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 p, and 2 r when four letters picked without replacement from {a: 5, r: 4, p: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 5*i**2 - 110 + 53.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53 - 209a?\nAnswer: -2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = s + 2*s. Let q = -227 - -159. Calculate the remainder when 3*(q\/(-3))\/2 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/6*1827\/(-406).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-9)*(j*j*j\/(j\/(j**(-3\/2)*j)))\/j*j)\/(j\/j**(-1\/3))**(-34) assuming j is positive.\nAnswer: j**(233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -292*w + 13438. Let g be h(46). Solve -x - q + 22 = -g*q, 3*q = 2*x - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -25*a - 6. What are the prime factors of y(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/9 + 428*h**3\/9 - 2634*h**2 + 9240*h + 29400 = 0 for h.\nAnswer: -2, 6, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -13) + -1 - (14 + (12 - 7 - -20)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -150.256 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*n = -t + 7, 5*t - 3*n = 21. Suppose -t*m = 39 - 54. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, 0.08, 0.3, 0.39 in descending order.\nAnswer: 0.39, 0.3, 0.08, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 522008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 4, g: 1, u: 4, s: 1, b: 7}. Give prob of sequence yy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 1. Let i(v) = v + 21. Let n be i(-9). Let f = 9 - n. Calculate m(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010011 (base 2) in base 7?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/40*(-35760)\/(-1788)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78, 639, 1816, 3807, 6810, 11023, 16644?\n\"Answer: 33*a**3 + 110*a**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + 2932 + 42\/6.\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 = 4*c, -7*o + c + 13 = -2*o. Suppose -2*f - 3*g + 7 = 0, -2*g - 21 = 4*f - 3*g. Sort f, o, 1 in increasing order.\nAnswer: f, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:28 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -6 - (-2 + 5). Suppose 4*t - 56 = -0*t. Let m = t + -11. Put m, -1, d in decreasing order.\nAnswer: m, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 14*v**2 - 177 + 86 - 7*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53\/10 - 11\/2. What is the nearest to f in 2\/7, -1, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37240000 to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-2)*(-6)\/9. Suppose 118 = a*j - 98. Suppose 2*k = -k + j. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*v + 1294, 0*d + 673 = d - 5*v. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6797376 and 432?\nAnswer: 20392128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 64133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**26\/r)\/(r**2\/r*r*r)*r*r\/(r*r**(8\/5))*r**0 assuming r is positive.\nAnswer: r**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20075386?\nAnswer: 2, 37, 271289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n + 34 - 16 - 31 + 82 + 74. Let o be y(-13). What is the greatest common factor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3630 and 13100065?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36736602 + 1373*r + 36736602.\nAnswer: 1373*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -58107*y - 4823002. Give v(-83).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 441428941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 815 = -53*x - 3194 for x.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -2*s**4\/3 + 25*s**3\/6 - 17*s**2. What is the remainder when d(-4) is divided by 2\/3 - 201\/(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*l**2 - 5*l*o - 1002*o wrt l.\nAnswer: 132*l - 5*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*h + 3 + 0 - 26*h - 34*h - 31*h - 32*h.\nAnswer: -8*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(216\/(-15)) - 3*(-5)\/(-60). Which is the second smallest value? (a) 18.6 (b) -2\/11 (c) -1\/7 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 - 10160*k\/3 + 925600.\nAnswer: -2*(k - 260)*(k + 5340)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71839 is divided by 71723.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*w + 34600 = 0, 2*n + w = 6*n - 34600. What are the prime factors of n?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**5 + 645*o**4 + 19810*o**3 - 64020*o**2 + 43560*o = 0.\nAnswer: -66, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*p**5\/3 - 6*p**4 + 14*p**3\/3 + 6*p**2 = 0. What is p?\nAnswer: -9\/7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 8:20 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 19*j**4\/24 - 3*j**3\/2 + 8*j**2. Let o be a(3). Suppose -2*p + o = -s, 0*p - 5*p - 3*s + 109 = 0. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 m when four letters picked without replacement from {b: 1, f: 1, m: 9, u: 6}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:56 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(160) + 6*-1*sqrt(160) + sqrt(160)))\/((sqrt(14) + 2*sqrt(1134) + sqrt(14))\/((sqrt(14)\/sqrt(2) + sqrt(7))*5)))**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010 + 111112111?\nAnswer: 111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 + 198778*x\/7 + 9878173321\/7.\nAnswer: (x + 99389)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10*r**3 + 10*r**2 + 5*r - 14. Let z be w(-8). Let d = -3536 + z. Let q be d\/(-91) - (-2)\/(-13). Which is bigger: q or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -40, -52, -64?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1319655270 - 1318925690.5432. Let c = q - 729660.45679934. Let x = -81 - c. Round x to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 2*r**2 - r. Let k(g) = -6*g**3 - 42*g**2 - 29*g. Let t(w) = -4*a(w) + k(w). What is the second derivative of t(y) wrt y?\nAnswer: -12*y - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3787 = 2*z + 2*m, -4*z - m + 5051 = 0. List the prime factors of z.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -106*o**2 + 5*o. Let z(t) = -t. Calculate v(z(k)).\nAnswer: -106*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b**2 - 35*b + 14. Let c be m(-3). Solve -3*o - n - 7 = c*o, 0 = o + n + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**3 - 200*i**2\/7 - 28*i - 24\/7 = 0.\nAnswer: -6, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*d - 5*q, 43 - 82 = -5*d - 3*q. Suppose -4*k + 13 = k - y, 5*k - 11 = 2*y. Solve 4*n - 2*g - 22 = d*g, 0 = 3*n + k*g - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 3, -31, 8, 2 in increasing order.\nAnswer: -31, -5, 1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3045736 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n + 3. Let k = -0.3 - 0.7. Is k smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -25, -34, -45, -58, -73?\n\"Answer: -a**2 - 4*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 1656.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let x(y) be the third derivative of 0*y + 0*y**4 + 1\/20*y**5 - 3*y**2 + 0 + 0*y**3. What is x(q(c))?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011 (base 2) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0, 0.3, 2\/9, -2, -1212?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83822 + -1365150802?\nAnswer: -1365066980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) 722 (c) 31 (d) -19 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**3 + 7*l**2 - l. Let a(z) be the first derivative of -z**4 - z**3 - 89. Give 5*a(v) + 2*k(v).\nAnswer: -2*v**3 - v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 11*s**2 + 8*s - 24. Let y be k(-10). Which is the second biggest value? (a) y (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -412.\nAnswer: 164.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*d = -371, 3*d - 39 = i - 238. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*t + 5*t**2 - 128*t - 6*t**2 - 3*t**3 - 2*t**4 + 7 to the form h + u*t + c*t**2 + i*t**4 + k*t**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 9 - 9 + (5*w - 4*w + 0*w)*(1 + 1 - 4) - 2*w + 2*w + 3*w - w + 0*w + 3*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2. Let s(i) = -146939*i. Calculate s(z(y)).\nAnswer: 293878*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -41*z**3 + 4 - 3 + 150*z + 40*z**3 - 150*z + z**2. Let c(u) = 100*u**3 - 75*u**2 - 75. Calculate -c(f) - 75*n(f).\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3 + 5*i**2 - 10*i**3 + i + 9*i**3 - 5*i. Calculate r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/332 and -40\/4399.\nAnswer: 17596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from yadyhdyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-8))\/((-13)\/(-260)). Suppose b + 4 = s, 4*b - 2*b + n*s + 36 = 0. What is the units digit of ((-36)\/b)\/((-27)\/(-1494))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/80 and 149\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/2*1 + (-23)\/(-46). Let p be 1395\/(-18)*s\/(-10). Does 2 divide p + -9 + (-2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 919785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.08 + 12. Let h = 0.1 - 0.1. Let d = t - h. What is d rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 992011282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15146033 to the power of 1\/2, to the nearest integer?\nAnswer: 3892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1038, -2162, -3286?\n\"Answer: -1124*j + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q + 1. Let g(w) = 5*w**2 - 5*w - 3. What is g(d) + 3*s(d)?\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 69. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.13272 rounded to 1 decimal place?\nAnswer: 47.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2. Let d(l) = -12487*l**2. What is d(v(i))?\nAnswer: -49948*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 6 = -77514*b + 77511*b + 3*v + 4, -51 = -18*b + 3*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201202201101 - -1?\nAnswer: 201202201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7601687 is divided by 3800832.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*l = -11 + 6, 3*s - 6 = -3*l. Suppose -5*q + 0*q + 5*f + 2850 = 0, 0 = 5*q + s*f - 2850. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 14. Let g be z(5). Let q(c) = g - 10*c - 13*c + 32*c - 10*c. Let v(b) = b**2 + 4*b. Let f be v(-4). Give q(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001108134 rounded to six decimal places?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 12. Let u be o(17). What is the greatest common divisor of 52 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2340, 2301, 2272, 2259, 2268?\nAnswer: 2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 6*m**2 - m - 2. Calculate i(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/(-20) - (-2)\/(-4). Solve -4*o + 2 = -5*o - q*d, -2 = 2*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 52 = -5*w - 6*b, 38 = -4*w - 5*b. Let d be (-3)\/1*w\/3. Suppose 0 = -0*y - 4*y + d. What is the smallest common multiple of 1 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and -0.322256.\nAnswer: -7.734144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*r**3 + 84*r**3 - 19*r**3)*(-705 + 40*r + 698 - 13*r) in the form f + k*r**3 + b*r**4 + c*r**2 + q*r and give k.\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*w - 5*w - 89, 4 = -4*g. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1135, 1172, 1259, 1420, 1679?\n\"Answer: 4*d**3 + d**2 + 6*d + 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 9*f**2 - 13*f - 6. Let d = -5657 - -5662. Determine j(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 18708508?\nAnswer: -9354254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4 - 63430*a**3 + 1358311500*a**2 - 10174088018250*a + 7584756496711875 = 0. What is a?\nAnswer: 835, 20865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12\/245 + 281\/735. Let k(v) be the second derivative of i*v**4 + 0*v**2 + 0 - 7*v + 4\/3*v**3. Factor k(g).\nAnswer: 4*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(132)\/sqrt(11)) + -1.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4831 is divided by 1609.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11\/177 (b) 1\/4 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -222927484 and -4193.\nAnswer: -222931677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14361, 28742, 43143, 57564?\n\"Answer: 10*l**2 + 14351*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2484 and 97\/828.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69.4 + -7.4. Let f = b + -63.08. Let j = 1 + f. Round j to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26067 - -26083. Find the common denominator of 2\/5 - (-179)\/(-35) and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(171\/162)*(16\/4656)\/(4\/(-4))\nAnswer: -6\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -6. Let x be (1 - j)\/(1\/(-5)). Find the third derivative of l**4 + x*l**5 - 3*l**4 - 4*l**2 + 2*l**4 wrt l.\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*k - 3 - 116*k + 51*k + 4 to the form o*k + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53.632313 and 168.\nAnswer: 221.632313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + 2 + sqrt(832) + sqrt(832) + -2 + -1 + sqrt(832) + sqrt(832)))**2.\nAnswer: -1536*sqrt(13) + 53392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-40)\/(-15))\/(((-8)\/20)\/(6\/(-5))). Solve d*h = 19 + 29 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23942.\nAnswer: 2, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbbbbbbbbxbbabyjmbjb. What is prob of sequence ybj?\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8*f = 5*b + 18, 5*f + 4*b = 2. Calculate the least common multiple of -1*-1*f\/2 and (-1 + 3)\/((-8)\/(-36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 + 96. Let z be 6\/4*(88\/6)\/a. Let s(w) be the third derivative of w**4\/24 - 2*w**3\/3 - 2*w**2. Let l(b) = -3*b + 11. Give z*s(i) - 4*l(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 76*f**3 + 29*f - 7*f + 9*f**2 - 27*f.\nAnswer: -76*f**3 + 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2*p - 5*i = 30, -p + 2*i = -11. Let s(h) be the second derivative of h**3\/2 - h**2\/2 + 47*h. Give s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.804024 months to years.\nAnswer: 2.317002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 3. Let k be c(-3). Let o = -4 + k. Solve -4*w + o*a + 12 = -0*a, -5*w - 5*a = -45 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3*t + 44. Let w = 7 - 6. Calculate the smallest common multiple of t and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5))**(-12)\/(x\/x**10*x\/(x\/(x\/x**1))) assuming x is positive.\nAnswer: x**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 5 (c) 1 (d) 2 (e) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/392 and -17\/5.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*j. Let z = -1 + -7. Let r = -7 - z. Is r at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248609 - -53.84.\nAnswer: 248662.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 124300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 7*z = -3*q + 1230, 2035 = 5*z + 2*q. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 219308, 219314, 219320, 219326, 219332, 219338?\n\"Answer: 6*c + 219302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 30037906.\nAnswer: 2\/15018953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-30)*(-18)\/(-12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 4*j**2 - 4*j - 1. Let p(z) = -z**2 + 15*z + 28. What is the smallest common multiple of q(-4) and p(16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2\/5, -4373938?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjjx when four letters picked without replacement from xcxjjjjxjjxjjjjxjj.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 63 = 21*x - 70. Suppose -f - f + 24 = 0. Suppose -6*r = -2*r - f. What is the second smallest value in x, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.54 + -0.541. Let n = -4.001 - m. Which is the closest to -0.1? (a) n (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24206521 (base 7) to base 5\nAnswer: -1022403424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 8*b**2 - 10*b + 3. Let h be y(-9). Solve 3*w + h = 3*n, -w - 8 = w - n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572921034?\nAnswer: 2, 3, 7, 59, 33029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xylrxyyyllpxyrlxrlx. What is prob of sequence rrxl?\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 1 - 12)*(3*h**3 - 3*h**3 + h**5) - h**5 + 2*h**5 + 0*h**5.\nAnswer: -30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzyijziyzzyzziiz. What is prob of picking 2 i, 1 z, and 1 y?\nAnswer: 33\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 5:44 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 216*a**3 - 19344*a**2 - 286624*a.\nAnswer: 4*a*(a - 106)*(a + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 328 divided by -4\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 12 = 3*s, 5*h + 14 = -2*s + 31 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - a**2 + 1. Let m(i) = -5*i**3 + 13*i**2 - i - 6. Determine -m(q) - 6*p(q).\nAnswer: -q**3 - 7*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from qgoqaemeegaeegaee?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.978 + -1.15. Round s to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 - 3*b**2 + 4*b - 10. Suppose -15 = -13*a + 24. What is x(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9\/11 (b) 2 (c) -1\/2 (d) 3 (e) -46 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 140*d**2 + 3 + 0*d + 2*d.\nAnswer: -140*d**2 + 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56220, -224896, -506022, -899598, -1405624, -2024100?\n\"Answer: -56225*n**2 - n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 93, 72, -87, -438, -1035?\nAnswer: -1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(3 - 5*p**2 - 3 + (6*p + 2*p + p)*(-1 + 1 + 2*p) - 3*p**2 - p**2 + 2*p**2).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/540 and -43\/30?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44 + 1)\/(-1) + 2. Suppose -8*x + 4*x + 16 = 0, -5*x + 146 = -3*y. Let q = f + y. Calculate the remainder when 7 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 31*s**2 + 38*s + 28. Give j(30).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19245, -18294, -16709, -14490, -11637?\nAnswer: -8150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030 a factor of 61905947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.372, 1\/9, -4.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y + 2*y + 3*y + 1. Let j(r) = 5*r - 7. What is 2*j(l) + 14*u(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38685536 is divided by 733.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -11856 at most -130413\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13bc4 (base 16) in base 4?\nAnswer: -103233010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*p - 1190, -5*q + 590 = p - 0*p. Let m be ((-2 + 93)*-1)\/(3\/p). What is m rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 4*f - 5. Let o be p(4). Let v(g) = 231106 - 231106 + g**2. Let z(s) = -4*s**2 - 6*s - 10. Let q(y) = o*v(y) - z(y). Determine q(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3148\/7 - -439. Let d = 11 + j. Which is the third smallest value? (a) d (b) -0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 10*d - 15. Calculate the remainder when g(-12) is divided by ((-6)\/8)\/((-8)\/32).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 40 + 8. What is the remainder when 21 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/3*((-8)\/1)\/4)\/(-9)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188 + -56. Suppose 0 = -3*q + v + 195. Does 41 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 31261527?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16787*-4)\/(-16 + 12) + 20\/(-4).\nAnswer: 2, 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5354?\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000152825 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 114680.41 and -0.5.\nAnswer: -57340.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 6*b + 15. Let u be 0 + b - (-1 - -21). Which is bigger: u or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, 1343 in decreasing order.\nAnswer: 1343, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d**3 + 0*d)*(80*d**2 + 81*d**2 - 178*d**2).\nAnswer: 17*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*f - 17466 = 0, -2*s = -3*s + 3*f + 3480. What is the greatest common factor of s and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243804 divided by -6\nAnswer: -40634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*x - 4*r - 3, 0 = 5*x + r - 7. Let n(k) = k**2 - k - 2. Calculate the least common multiple of (-5)\/(-15) + x\/3 and n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s - p + 360, -3*s + 216 = p. Suppose -5*k + 3*r + 72 = -14, -3*k - 5*r + s = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 782\/5 - 3463\/20. What is the common denominator of u and 55\/76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(64\/1568 + 586\/(-2352)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 16, 29, 46, 67, 92?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/6 + 137*v**2\/3 + 272*v\/3 = 0. What is v?\nAnswer: -272, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = m. Let n be 6*(-15)\/(-21) - (1702\/(-161))\/(-37). Solve -25 = l - 5*r, -n*l - m*r = -7*r + 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 52 = -3*h, 510*z - 513*z + 8 = -h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 162\/(-1215)*-4*(-165)\/176*36\/1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 4*u**2 + 2 + 4*u**2 + u**3. Let v be b(0). Do v and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1771637 and 1387?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 14*w**2. Let x(z) be the second derivative of -z**4\/6 + 9*z. Give x(t(f)).\nAnswer: -392*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 268177255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h + 1084. Suppose 0 = -h*o + 274*o + 12. Let z(k) = 7*k + 6. Let f(a) = 6*a + 5. Give o*z(c) + 5*f(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n = -39*n + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 23, 33, 31, 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 588 - 312 - 295 to the form k + s*h and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l**3 - 8*l**3 + 18*l**3)*(337*l - 337*l - 231*l**2).\nAnswer: -4851*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -239, -208, -149, -50, 101, 316, 607, 986?\n\"Answer: 2*x**3 + 2*x**2 + 11*x - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28596*c - 6*c**2 - 28596*c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 267*d**3 + 4*d**2 + 1. Let a(q) = 800*q**3 + 11*q**2 + 3. What is -4*a(k) + 11*c(k)?\nAnswer: -263*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2064957um to nanometers.\nAnswer: 206.4957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 = -3. Suppose 0 = -j*n + k + 14, -28 = -5*n + n - 5*k. Suppose -n*s**2 - 13*s**3 + 5*s**2 - 6*s**2 - 5*s**4 - s**2 + 2 + s = 0. What is s?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5)*(-15)\/(-3). What is the third derivative of -4*z**3 - 2 + 3*z**2 + 4 - i wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n + w - 13, 0 = -n - w + 9. Let b = 29042 + -29042. Suppose -4 = 2*v - 34. Solve b = n*f + 7 - v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*n**4 + 371477*n**3 + 18006505*n**2 wrt n.\nAnswer: 624*n + 2228862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 2. Suppose -4*t - 4 = -0*t, -3*c + 2*t = -74. Let k = -30 + c. Let z(i) = 3 - 7 - i - i + 4*i. Give k*z(j) + 13*g(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s - 8. Let h(z) = -3*z - 4. Give 2*f(r) - 5*h(r).\nAnswer: r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-1)\/u*u*u))\/u**(2\/5)*u**(-1\/2)\/(u**(-10)*u))**(1\/8) assuming u is positive.\nAnswer: u**(81\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2035\/111 - 1\/3. Suppose 3*m + 3 = o, 0 = 4*d + m - 87073. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/16)\/(141\/188)*3\/(-6)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103 + 54?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 26595.07 days?\nAnswer: 2297814048000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 n when three letters picked without replacement from {o: 3, n: 4, z: 6, l: 4}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6187487 years to decades.\nAnswer: 0.06187487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302 - 131113012?\nAnswer: -131112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5361 + -5362. Which is the nearest to s? (a) 1.8 (b) 0 (c) 1\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d + 16, 32 = 4*q - d. Find the third derivative of 7*b**6 - 10*b**2 + 2*b**2 - q*b**6 wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2324, 4594, 6864?\nAnswer: 9134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/2 - 1450*s - 2898 = 0. What is s?\nAnswer: -2898, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102))\/sqrt(6) + ((sqrt(2057)*-1)**2 - sqrt(2057)).\nAnswer: -9*sqrt(17) + 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/sqrt(4) + 1)*-6*-4 - 4*(sqrt(228)*-3*1 - sqrt(228))\/sqrt(12))**2.\nAnswer: 1920*sqrt(19) + 30976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 36*o - 8*o + 15)*(0*o**2 - 9*o**2 - 5*o**2) in the form z*o + h*o**2 + p + j*o**3 and give j.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 11*g**2 - 29*g + 4. Calculate y(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15210519537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/15, -12, 1\/3, -3 in decreasing order.\nAnswer: 1\/3, -0.1, -2\/15, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*i**3*q - 24*i**3 + 13*i**2*q + 38*q - 150 wrt i?\nAnswer: 24*i**2*q - 72*i**2 + 26*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5960*t. Let s(j) = 4968*j. Calculate s(p(c)).\nAnswer: 29609280*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 122 - 206 - 62 + 5*n**2 - 19 to the form q*n + r*n**2 + x and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**2 + 39*t + 19. Calculate the remainder when m(6) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325495 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 8*l. Let g(z) = -585158*z. What is s(g(i))?\nAnswer: 684819769928*i**2 + 4681264*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvwptvxtphttxxt. Give prob of sequence htt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 9*z + 14. Let p be b(-8). Calculate the greatest common divisor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5211469 - 52969. Suppose -18*l + c = l. What is l rounded to the nearest 1000?\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -2\/3, -2, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7845 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197779119 is divided by 1655.\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 6 - 22*i**2 - 18*i**3 - 2 + 32*i + 1 + 3 = 0.\nAnswer: -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:47 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 117.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-234 + 245 - (24 + 0))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 422241 (base 6) to base 13\nAnswer: 12769","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34694741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 3. Let v be r(-3). Let f(j) = 8*j**2 + 6*j + 7. Let q(a) = 7*a**2 + 5*a + 6. What is v*q(u) - 5*f(u)?\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28519*y**2 - 2*y - y + 3*y - 51824*y**2.\nAnswer: -23305*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 2*f + 1. Let m be r(-1). Let v(p) = p**3 - p**2 + p - 1. Let l be v(1). Suppose 4*c + 0 + 4 = l. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 33. Suppose -6*d = r - 5*d, q = -2*r - 4*d. Solve 6 = -4*i + 5*j - r, -i = -3*j + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 1273049456 + 1273049456 + 0*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from qqsssqsqsqssqq?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9712\/45 - (-4)\/10. Let n = 216 - m. Let s be (-50)\/48 + 3\/8. What is the nearest to s in n, 4\/7, 3\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 10) to base 16\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/9, 5, -4\/917 in increasing order.\nAnswer: -2\/9, -0.1, -4\/917, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 980 and 307580.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = t + 2*t - 225, -4*t - 4*p + 300 = 0. Let h = t + -20. Let q = -53 + h. Put -4, q, -13 in decreasing order.\nAnswer: q, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 105908.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (-11 - -11 - 6) - 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -224389312*s**2 + 126299204 wrt s?\nAnswer: -448778624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 + 209. Calculate the remainder when h is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -4, 27, -20 in decreasing order.\nAnswer: 27, -4, -20, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2659 = 5*x, 9*x - 10*x - 4*h + 535 = 0. Calculate the highest common factor of x and 472.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpbq when four letters picked without replacement from {j: 5, b: 4, q: 1, p: 1}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**6\/10 - 7*i**5\/10 + 19*i**3 + 321*i. Find the second derivative of g(n) wrt n.\nAnswer: -36*n**2 - 84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k = -205 - 355. Calculate the lowest common multiple of k and 121.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 179*o - 121*o - 235306. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8302904501444 + -0.1.\nAnswer: -8302904501444.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50\/20*1\/10. Factor -q*p**3 + 0*p**2 + 3\/4*p - 1\/2.\nAnswer: -(p - 1)**2*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {j: 5, h: 1, l: 3, w: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 215042384981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c + 4\/9*c**2 - 2\/9*c**3 + 0.\nAnswer: -2*c**2*(c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83200 and 6720?\nAnswer: 1747200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 2:50 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*h - 47, 3*h - 7 = 8. Let i(a) = -a**3 - 12*a**2 - 12*a - 9. Let p be i(d). Solve -4*u = -2*u - p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5246*t**3 + 8*t**2 - 17*t + 7. Is w(1) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = -128. Suppose -3*v = -4*v - 5*w - 117, v - 3*w + 125 = 0. What is the common denominator of (-6)\/(-9)*v\/4 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2730*s - 98. Let f(l) = -140*l - 5. Let u(q) = 98*f(q) - 5*i(q). Let t(o) = -o**2. Give u(t(p)).\nAnswer: 70*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -455044?\nAnswer: -455051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -204 - -135. Let s be w\/(-12) + (-8)\/(-32). Suppose 8*b + s = 70. Solve 6*j - 2 = b*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqzayuqqyayqa. What is prob of sequence yyq?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17961.9928 rounded to the nearest 100?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, 6\/7, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-6*(sqrt(450) + (-6*-2*sqrt(450) - sqrt(450))))\/((sqrt(160) + (sqrt(160)*-2 - sqrt(160)))*3))**2.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4125107 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6177925 kilograms?\nAnswer: 0.0006177925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622713 to the power of 1\/2, to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31603 or -225?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1010, 1969, 2966, 4019, 5146, 6365, 7694?\nAnswer: 9151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -1. Sort r, 5, -5 in descending order.\nAnswer: 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -172, 103, 550, 1169, 1960, 2923?\n\"Answer: 86*g**2 + 17*g - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1657*q + 4*q**2 + 6*q**2 - 16*q**2 - 171*q + 7*q**2 as d*q**2 + b + o*q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - f**2 - 3*f**2 + (2 - 2 - f)*(-f - 3*f + 3*f) - 14*f**2 - 10*f**2 + 5*f**2)*(-4*f + 7*f - 2*f).\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9032 - -0.91. What is i rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 7*g**6\/20 - 9*g**5\/20 - g**4 + 3*g**3\/2 + 3*g**2\/4 - 129*g. Suppose m(h) = 0. Calculate h.\nAnswer: -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 792770 = -r + 792749, -12 = -3*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**4 + 40 - b**4 + 65 - 90 + 8*b**3 as i + w*b**2 + a*b + h*b**4 + y*b**3 and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/711 and (-76)\/(-228)*(29\/7 - 2)?\nAnswer: 4977","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h. Let w = -14 - 23. Let b = 44 + w. Is h not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 10*q**2 + 31*q - 35. Let j be x(6). Solve p = 6 - j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.3. Let g = 4.7 + -5. Let a = 0.1 - g. What is the nearest to k in -2, -1\/5, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = z - 1, -2*k + 25 = 3*z. Suppose 0 = -y - 1 + 6. Suppose 168 = z*b - y*b. What is the remainder when b is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001000 (base 2) in base 14?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2029406mg in micrograms?\nAnswer: 202.9406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 5*r**2 - 3*r - 3. Let q(t) = 6*t**2 + 71*t - 11. Let g(w) = w**2 + 13*w - 2. Let z(x) = -11*g(x) + 2*q(x). Give h(n) - 5*z(n).\nAnswer: n**3 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593801*c**2 + 1538663*c**2 + 1567241*c**2.\nAnswer: 3699705*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*k - 5 = 0, -18*k = -22*k + 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 724900485 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1. Let o(q) = -13*q + 3 + 13*q + q**2. Let d(k) = 2*i(k) - o(k). Let c(m) be the first derivative of d(m). Let f(a) = -2*a**2. Calculate c(f(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946967 is divided by 118284?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.1 - -13. Which is the smallest value? (a) n (b) 5 (c) 0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15981, 15928, 15875?\nAnswer: 15822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -3, -1\/5, -49033\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b + 3. Let m(z) = 19*z + 34. Let l be m(5). Suppose 131*w - 22 = l*w. What is the remainder when t(3) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.651381 and -0.1.\nAnswer: -0.3651381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 5*y**2 + 6*y - 1. Let k = 14 + -10. Let d be n(k). What is the highest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/389176 and -59\/4.\nAnswer: 389176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2. Let q(n) = 10*n - 1474831. Determine q(r(z)).\nAnswer: -10*z**2 - 1474831","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/29030 and 19\/1376022.\nAnswer: 6880110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8558388*d - 7341754?\nAnswer: -8558388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -244739048647.5.\nAnswer: -244739048647.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 2:28 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13986538 and 1.\nAnswer: 13986539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/3)\/((j*j\/(j*j**4*j))\/j)*j**(8\/5))\/(j**(-33)*((j\/(j**(-5)\/j)*j)\/j)\/(j\/j**1*j)) assuming j is positive.\nAnswer: j**(484\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267967 is divided by 231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 0.96. Let f = x + 4. Which is the nearest to -2? (a) -5 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 9*w + 29 - 11*w.\nAnswer: -2*w + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 39*g**2 - 487*g + 703. Calculate n(-48).\nAnswer: 3343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1308.8 - 1338.7. Which is greater: l or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2755, 5536, 8307, 11056, 13771, 16440, 19051, 21592?\nAnswer: 24051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-14)*(-2)\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 1. Let o(i) = -2*i**3 + 13*i**2 - 1. Determine -o(j) - 2*x(j).\nAnswer: 2*j**3 - 17*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 9382 = -665*l - 5008 + 20896 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, t: 1, x: 8}. What is prob of picking 1 t and 2 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -7)*1*-2. Let a be -5*18*17\/b. Is -4 - 1\/(3\/a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-1) - (-1)\/((-5)\/(-15)). Let a be 2\/(-2)*61*(m - 0). Let w = a - 29. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 386, 377, 368, 359, 350, 341?\n\"Answer: -9*k + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 25758?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**2 - 9*k + 4. Let w be d(6). Let j(n) = 2*n**w + 13*n + 5*n**2 - n**3 - 4*n - 6*n - 4. Determine j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2601 - 2497. Solve -80 = 8*o - x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/(-14) + 14\/49. Suppose 5*j = -i*h - 92, -3*h - 73 = 2*j - 4. Let y = 18 + h. Sort 5, -4, y in descending order.\nAnswer: 5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.3 and -3.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389 - 16. Let x = 377 - j. Calculate the least common multiple of 8\/(-1 + 6\/4) and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2630785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-390)\/4*60\/(-50). Suppose 7*l - 70 + 7 = 0. What is the greatest common factor of a and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {s: 2, y: 2, c: 5, t: 8}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhq when three letters picked without replacement from {h: 1, m: 4, q: 3, w: 1, y: 3, k: 6}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r - 15 = 0. Let g = r - -17. Calculate the greatest common divisor of 60 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 19486, 1?\nAnswer: 19486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282, 6, -78467.\nAnswer: -78467, -282, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 51, 46, 39, 30, 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2*i + 304*f**2 - 10*f*i + 4*f - 51 wrt f.\nAnswer: 6*i + 608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - u = -214, -2*j + 138 = 2*u + 46. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18341943293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**2 + 4*i + 15. Suppose -61 = -3*n + 2*d - 86, 0 = -n + 5*d - 43. Give y(n).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85 or -89?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*z + 4*q + 21, -4*z = -q - 56. Let r = -1 + -1. Let l be (-2)\/4*r - -2. Solve 0 = -2*f + l - z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h + 10. Suppose 5*w - 13 = o, 0 = -o - 2*o + h*w. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16516 - -16583. Let g be (-224)\/(-3)*54\/60. Is o equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -159*x*z - 9822*x + 123711*z + 20 with respect to x.\nAnswer: -159*z - 9822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -704*o + 699*o + 3*q + 17, 0 = 5*o + q - 21 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 3*m = h + 8, m = 5*h - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 437186661 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - 3*q + 11 = 0, -2*q = -2*t - 8. What is the second biggest value in -4\/3, t, -2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3019672 is divided by 26961?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g*g**(-11))\/g))\/g*g**1)**(-5\/13) assuming g is positive.\nAnswer: g**(-55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, 444, 428, 412?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -15*i**2 + 83*i - 24. Give d(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-2912)\/892)*30. Let p = -264\/13 - w. Find the common denominator of p and 2 + (162\/4 - 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2082 + 2082 + 32*n.\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4732*h - 3240 = 4948*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/17 + 8\/17. Put 0.006, -2\/5, 4, l in increasing order.\nAnswer: -2\/5, l, 0.006, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3\/2963, -0.3, -4?\nAnswer: -3\/2963","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*180\/(-840).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.72444 years to centuries.\nAnswer: 0.0872444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 2*t**2 - 3*t - 2. Let z be l(-2). Let s(i) = -i - 2. Let c be s(z). Suppose -r - x + 170 = 2*r, -115 = -c*r + x. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5219, 5221, 5199, 5141, 5035, 4869, 4631?\n\"Answer: -2*v**3 + 16*v + 5205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s + 3. Let g be x(0). Suppose -5*u = -2*u - g. Find the first derivative of 2*k**3 + u + 0*k**3 + 1 wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.15 + 2.85. Let l = 18 + 23. Let n = y - l. Which is the nearest to n? (a) -5 (b) 1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2919 by -1.\nAnswer: 2919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10*z + 11 + 0 - 7 - 3.\nAnswer: -10*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -2\/3 (b) -0.1 (c) -27 (d) 68 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -10*f. Put -6, f, 3 in ascending order.\nAnswer: -6, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) 3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*g + 7338 = 9730 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 - 150*y**4 - 306*y**3 - 154*y**2 = 0.\nAnswer: -1, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 401*s**3 + 6*s**2 + 4*s - 5. Let h be c(-5). What is h rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488 divided by 244.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 864*n**3 - 142 + 70 + 858*n**3 + 868*n**3 - 2592*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 + -177. Is -9.1 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**3\/3 + 88. Let h(r) = -92*r**3 - 12*r**2 + 160*r. Let b(j) = -12*g(j) + h(j). Find the second derivative of b(k) wrt k.\nAnswer: -552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 10 = -6, 3 = 5*v + 2*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/n**(2\/9)*n\/n**(-8)*n*n**1\/n assuming n is positive.\nAnswer: n**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 l when four letters picked without replacement from {k: 1, t: 1, d: 3, e: 5, l: 4}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45854260 rounded to the nearest 10000?\nAnswer: 45850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 162 = 7*s. Solve -5*n - i - s = -2*i, 0 = 3*n + 5*i - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -135236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376 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: Two letters picked without replacement from xxqixxkpixkx. What is prob of picking 1 p and 1 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 5*v - 4. Let w be q(-6). Suppose 2*x = -w*x + 2912. Suppose 2*c - 6*c = -x. Calculate the highest common factor of c and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209564 * -428\nAnswer: -89693392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxlxxllxxxjllldxd. What is prob of picking 1 x and 2 d?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1686.144 micrometers?\nAnswer: 0.1686144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 5*y - 3. Let w be n(-4). Let r be 5\/(-4) + 0 + w. Does r = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w - 3. Let i(d) be the second derivative of -d**3 + 2*d**2 + 52*d. What is -4*i(b) - 5*s(b)?\nAnswer: -6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 11934.516\nAnswer: 119.34516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -259725407\/14 - -18537690. Let u = -14132 - y. Find the common denominator of u and 21\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1531490 to the nearest 10000.\nAnswer: 1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18751 and 76107.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1221.98 + 9.\nAnswer: -1212.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 at most as big as 649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y = -9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.1 and 39376375?\nAnswer: 39376361.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23566563 (base 7) to base 13\nAnswer: 5872b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 68. Let h = 0.125 + -0.08. Let k = h + 0.355. Put 0.24, i, k in increasing order.\nAnswer: 0.24, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 4*t**3 - 2*t**3)*(-2737 - 2444 + 3171).\nAnswer: -4020*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-3 + (-117)\/(-38)). Let s be p\/(-9) - (-2)\/(-9). Let q = -1\/157 + 325\/1727. Which is the third biggest value? (a) s (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in milligrams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 841 divide 1069752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.399 - -2.829. Let l = -65 + 62.37. Let s = l + g. What is s rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -6 - -2) + -2. Suppose -r*q + 5*v + 714 = 0, -q + 533 = 2*q - 5*v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 - 13*b + 90*b - 77*b.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + -33. Let o = m - -41. Which is the smallest value? (a) -2\/5 (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2391 - 279. Calculate the greatest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.2814237 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4 + 284*a**3 - 6064*a**2 - 24380*a + 872850 = 0.\nAnswer: -11, 15, 23, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*m + 6534 = 426*m + 915*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -27, -35, -45, -57, -71?\n\"Answer: -y**2 - 3*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/14119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5871204 and 4403403.\nAnswer: 17613612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*r + 2*r**3 + 8*r**2 - 8*r**2 + 0*r**3 in the form x*r**2 + t*r**3 + i + j*r and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:05 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -104. Let w(z) = -15*z**3 - 25*z + 6. Let h(o) = o**3 + 1. Let f(x) = y*h(x) + w(x). What is the second derivative of f(u) wrt u?\nAnswer: -126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3007 - 4\/16*4. Suppose -13*g = -11*g - o. Suppose 3*s = -2547 - g. What is s rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000058751091 rounded to 7 dps?\nAnswer: 0.0000588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143781*b**3 - 3*b**2 + b + 77630 wrt b.\nAnswer: 862686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*d**2 - 31 + 31 + (2*d + 3 - 3)*(2 - 2 - 2*d) + (0*d - d + 3*d)*(-2*d + 0*d + 4*d) in the form n*d + o*d**2 + r and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9))\/(16\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 + 281*q**2 - 19880*q + 19600 = 0. Calculate q.\nAnswer: 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 16 = 2*k - 4*y, k + y = 7. Find the third derivative of h - h**2 - 2*h**k - h + 2*h**4 wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -265435*i**2 + 2*i - 946453 wrt i.\nAnswer: -530870*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 24*a - 33. What is c(-11)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4774)\/(-420) + 1\/(-5) and 83\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3333 take away 0.94245?\nAnswer: 3332.05755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by -18.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10 = -2*i. Suppose -36 = -i*l - 0*l. Suppose -h = 2*h - l. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3637a + -165?\nAnswer: -36523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 2824?\nAnswer: 31064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -112*-0.6\nAnswer: 67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/7? (a) 4 (b) 0.06 (c) 5 (d) -2 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 8*h + h + 7*h + 0*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1713 + -1156. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1636256 to two decimal places.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 + 23763990901.\nAnswer: 23763990899.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2499 is divided by 831.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425282, 850554, 1275826, 1701098, 2126370, 2551642?\nAnswer: 2976914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 5*i**3 + 5*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -18. What is the greatest common divisor of 22 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, h: 13}. Give prob of sequence hwh.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 38973, 4, 0, -3 in descending order.\nAnswer: 38973, 4, 1, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*b + 10, -16*d + 11*d + 4*b + 28 = 0. Solve 110*j - 12 = -d*n + 114*j, n = -3*j - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-16 + 6)) + (-8 - (2 - 1))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184332253 is divided by 10354.\nAnswer: 10345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 210347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413128497.\nAnswer: 3, 137709499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 - 645. Let k = v - -1231. List the prime factors of k.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552 = 3*k - 6*k. Suppose f = -3*f + k. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 68 = f + 3*f, -3*r = -5*f - 53. Let q(p) = p**2 - 5*p - 7. Let g be q(9). Suppose -g + 5 = -2*h. What is the lowest common multiple of r and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657902973 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26031732.000013 - 26031766. Let p = -34 - i. Round p to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*f - 8 = -4*j, 12 = 4*j - f. Let w(v) = -v**3 + 3*v**2 + 3*v + 5. Let p be w(j). Suppose 8 = -3*g - 7, 4*g = -4*c. Solve -c*t + 4*t = -p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*g = 12066, 2*p + 5*g = -0*p + 5994. Calculate the greatest common factor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**3\/6 + 2*z**2 + z. Let g be 0 - (0 - (-5 - 1)). Let b be m(g). Which is smaller: b or -6\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 0 - (17 - (6 + 4 - 7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1111, 5, -17.\nAnswer: -17, -4, -2, 5, 1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -3 (b) -76 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuddddkdu. What is prob of sequence kd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/2)\/1)\/(2\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 0*t - 6*t = -5460. Solve 43*h + t + 110 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5 + 621*z**4 - 29898*z**3 - 230826*z**2 - 509427*z - 309123 = 0. What is z?\nAnswer: -3, -1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -31. Suppose -9 = -5*p + n. Solve -2 = -4*w + p*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12837*j - 89868. Determine i(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, f: 9, r: 8}. What is prob of sequence rff?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 58*b + 2*b**2 + 33*b + 26*b)*(15*b - 12*b + 13*b).\nAnswer: 32*b**3 + 16*b**2 + 672*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3408 - 1936. Suppose l + 852 = 4*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**3 - 6*r**3 + 9*r**3 + 4*r**3 - 1 - 42*r to the form k + v*r**3 + a*r**2 + b*r and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 6, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 158*w**3 - 114*w**3 + 243*w - 247*w as d*w + j*w**3 + i + m*w**2 and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 220*i**3 - 2716*i**2 - 8580*i.\nAnswer: -4*i*(i + 5)*(i + 11)*(i + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13.04. Let u = a - -0.04. Put u, 4, -3 in increasing order.\nAnswer: -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 1077528?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -9.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 20*l - 2. Let m be ((-3)\/(-2))\/(28\/(-56)) + 2. Determine a(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3 = -9. Suppose 27 = -6*u - 21. Let l(o) = 10*o**2 - 3. Let n(v) = 29*v**2 - 8. Let m(c) = h*n(c) + u*l(c). Let d(a) = -2*a. Determine d(m(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2. Let l(w) = 46*w**2 - 2*w. Let r(p) = -737*p**2 + 33*p. Let q(u) = 33*l(u) + 2*r(u). Give t(q(x)).\nAnswer: 1936*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 355*a**2 - 1. Let u be j(1). Suppose 4*l - u = 154. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -128957*l**4 - 113785 wrt l?\nAnswer: -515828*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 65 + 46 = 2*d, -5*d + 3*l + 225 = 0. Let z = d - 45. Let i be 26\/6 - (-8)\/12. Solve -i*g + z = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37743*s**2 - 37779*s**2 - 14 + 75521*s**2.\nAnswer: -s**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -5143210052?\nAnswer: -5143210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 353 = 1487. Let n = -130 + t. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566*p**2 + 1083*p**2 + 1024*p**2.\nAnswer: 1541*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 198\/3700937 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let d(s) = 2*s**2 - 11. Determine d(r(k)).\nAnswer: 8*k**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x = 3*h + 29*x - 1598, 4*x = 16. Suppose 125 - h = -p. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149147588\/2763312195 + 2\/2015545. Find the common denominator of -47\/18 and p.\nAnswer: 8226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 1. Let o = -0.0233 - -0.0233. Which is greater: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16872 divided by 8436\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/384 and 89\/896?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8663789?\nAnswer: 83, 104383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2\/7 - 45*m\/7 + 48\/7 = 0. Calculate m.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 146, 522, 1128, 1946, 2958, 4146, 5492?\n\"Answer: -3*p**3 + 133*p**2 - 2*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146401 and 9899.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0 + a1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/10, 0, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/25 + (-4)\/(100\/5). Let l(y) = 2*y**2 + 2*y**2 + 1 - 3*y**2. Let t(m) = -m**3 - m**2 - 1. Give w*t(u) - 2*l(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1330 - -1?\nAnswer: -132a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 105 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c**3 + 45717*c**2 + 10158*c = 0 for c.\nAnswer: -1693, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.009 + -0.009. Let a = 5.7 - 6. Let u = -127\/15 + 39\/5. What is the biggest value in a, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3. Let c be (-245)\/(-20) - y\/(-4). Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71884 and 10027818.\nAnswer: 20055636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 337.7 - 78.7. Let x = u - 258.99998333. What is x rounded to seven decimal places?\nAnswer: 0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8035*z + 3*h = -8039*z + 39, -5*z = -h - 25 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -244, -596, -1048, -1600, -2252, -3004?\n\"Answer: -50*u**2 - 202*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - -58.95. Let g = h - 57. Is 1\/3 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6086059*a + 7306647 wrt a?\nAnswer: 6086059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -109541 - 137203. What are the prime factors of s?\nAnswer: 2, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -51 (b) -1\/7 (c) -24 (d) -1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (130\/(-98280)*-216)\/((-60)\/7)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -19*d + 9. What is t(-4)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 5*c**2 - 4*c - 1. Let g be j(4). Suppose -6*a = -67*a + 305. List the prime factors of 7 + a\/g - (-78 + 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7972, 16900, 25828, 34756, 43684, 52612?\nAnswer: 61540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3935*(3 - (5 - 1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -4, -46, -3.\nAnswer: -46, -4, -3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - 4*s**2 - 3*s**2)*(-4*s**2 - 3*s**2 + 3*s**2) to m*s**2 + l*s**3 + r*s**4 + c + z*s and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.399 + -2.399. What is the closest to b in 3, 2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -399*j + 240. Let h(d) = 2*d + 69 - 27*d - 54. Let n(s) = 2*a(s) - 33*h(s). What is the units digit of n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12 + 29 = -q, 5*q + 115 = 3*r. Suppose 0 = -8*m + m. Sort q, -4, m in descending order.\nAnswer: m, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 66c + -19?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {w: 1, t: 1, m: 1, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 108 = -288. Let n = 94 - o. Let k be 1\/2 - 13\/18. What is the smallest value in -1, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = z + z - 12, z - 7 = -3*p. Suppose 2*s - 5*y = 19, 3*y + 5 = -4*s + 4. Let h(r) = 3 - 3 - 1 + 5*r**2 + r - 4*r**s. What is h(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01419 and 9.7707.\nAnswer: 9.75651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-2 + (8 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2500309, 2500311, 2500313, 2500315, 2500317?\nAnswer: 2500319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1077 and 35\/10411.\nAnswer: 31233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 1143*a**4 - 122295*a**3 + 239388*a**2 + 1260*a = 0.\nAnswer: -2\/381, 0, 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 325620 to the power of 1\/2, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2571*c + 3250*c + 4350*c to v + q*c and give q.\nAnswer: 5029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 2*n**3 + 0*n + (-3*n + 4*n - 2*n)*(-6*n**2 + 2*n**2 + 2*n**2) + 2*n**3 + 1 - 1 + (-5*n**2 + 2*n**2 + n**2)*(20678 - 185*n - 33*n - 20677).\nAnswer: 442*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2993816 and 61\/3742270?\nAnswer: 14969080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 10864.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2362277 (base 11) to base 7.\nAnswer: 46665143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j + 3. Let o(v) = -9*v - 5. Let a(n) = 9*n + 5. Let z(y) = 7*a(y) + 6*o(y). Calculate 8*d(w) - 5*z(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 0.34. Let p = -0.6 - -0.4. Let a = 2 + -1. What is the closest to a in i, p, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-4 + 1 + 2 - -2). Let l be 31 + 2\/t*(10 + -8). Solve -5*f = 4*q + l, 5*f - 2*q - 5 = q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-870)*42*12\/(-210).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11068)\/(-6)*((-189)\/(-18))\/7 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 11390*z**2 - 11390*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270.531 decades in months?\nAnswer: 152463.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2671788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4424 - 1476 - 99*h**2 - 1475 - 1473 + 87*h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101222 (base 4) to base 6.\nAnswer: -40110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o + 15. Let p = -3 + 2. Let d(z) = -1. Let i(h) = p*f(h) - 4*d(h). Is i(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*f + 0 = -6, 36 = -4*i + 4*f. Let h = 8 + i. Let q = 5 - h. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*n + 17*n**2 - 138*n + 349*n - 119*n.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**5 + 24*k**4 + 16*k**3 - 136*k**2 - 204*k - 80.\nAnswer: -4*(k - 5)*(k - 4)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 354868 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -3, -0.2, 2\/2747 in decreasing order.\nAnswer: 1, 2\/2747, 0, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218183 divided by -67?\nAnswer: -3218183\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = n, -3*x + 4*n - 3*n = 3. Suppose x = 4*p - 3*c + c - 678, 4*c = -2*p + 354. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.602 + -40.552. What is the second smallest value in 4, 1.88, u, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 2\/13 (b) 9\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -60\/89 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1.16, 0.1 in increasing order.\nAnswer: 0.1, 2\/5, 1.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2388584 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k - 4. Let t be d(-11). Let a = t - -54. What is the least common multiple of a and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-2)*(-18)\/(-4). Suppose 4*x - 6*x + 3*b = 2, 0 = -5*x - 5*b + a. Suppose -7*y = -3*y - 80. Calculate the greatest common factor of y and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8*v = 5*j + 5, 0 = -3*j + 5*v + 29. Let i(s) = 3 + 2 - j + 3 + s. Let q be i(4). Solve 0 = 3*n - 3 + q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 7969?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/4)\/q*q*q*q*q*q**6*q*q**(-2\/11)*q**4*q assuming q is positive.\nAnswer: q**(685\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b - 205. Let o be m(31). What is the third derivative of 60*c**4 + 57*c**4 + o + 3*c**2 - 120*c**4 + 28*c**3 wrt c?\nAnswer: -72*c + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 731386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.6 - 8.54. Is 12\/11 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6100 - -6100.52. Which is the nearest to 1? (a) 1\/2 (b) -2 (c) w (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -5\/18006?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-488)\/(-61))\/(2\/2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -5*u - 21, 3*u = 4*p - u - 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 3*i**2 - 2*i**2 + 6*i**2 + i**2.\nAnswer: i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 48, 5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(-2\/7)*w)\/w**1)\/((w*(w**(-3\/2)*w)\/w)\/w**(6\/11)))**(-46))**(-8\/9) assuming w is positive.\nAnswer: w**(49864\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 76 - 434 = 0. List the prime factors of c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1052862 by 463.\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902.808 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4010.588l?\nAnswer: 4010588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {u: 1, l: 2, v: 2, b: 1, n: 2, f: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7))**39\/(b\/(b\/(b\/(b*b*b\/(b*b**(-2\/3)*b)*b))))**(2\/23))**(-11) assuming b is positive.\nAnswer: b**(58432\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-166)\/(-3))\/((-8)\/(-12))?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtxt when four letters picked without replacement from {m: 4, j: 4, x: 2, t: 9}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-218)\/(-4) - (-1 - -4). Is 52 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3 + (sqrt(98) - sqrt(98)*-2) - sqrt(98))**2 - (5 + (-1*sqrt(98))**2)).\nAnswer: 84*sqrt(2) + 295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(20) + 1)*6 + -5 + (sqrt(19) - (sqrt(931) + (sqrt(931)*-2 - sqrt(931))) - 2*sqrt(19)*-1).\nAnswer: 1 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 3*z - z + 3*z - 3. Let y = -11 + 8. Let h(m) = 3 - 1 - m + 0. Determine y*h(l) - 2*r(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - 17*l - 2*l**2 + 8*l + 2*l**3 - 4*l - 1 to i*l + j*l**2 + t + q*l**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -1 - 4. Suppose -y*g - l = -724, -3*g + 2*l = 43 - 480. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147964614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 = 5*t, l + 1 = 4*t - 16. Suppose 146 + 106 = 21*n. Suppose -n = 2*y - 16. Solve -t*p + 1 = -y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 759 and 12489.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 16 + 46. Solve -2*h - 4*h + m = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and 16297\/69 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 205 + 249 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1974242 - -840510.8025758. Let l = y + -840511.00699902. Let v = l - -0.007. What is v rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20938026 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -8. Calculate the lowest common multiple of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 171*n**3\/2 + 177*n**2\/2 + 3*n = 0.\nAnswer: -1, -2\/57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*m + 4*r - 8, 4*r = -4*m + 28. Let c = -119 - -104. Calculate the remainder when 1*4\/30 + (-328)\/c is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + g + 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1368\/48 + (-10)\/4. Is l >= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**6\/10 + 31*a**4\/4 + 21*a**3\/2 - 9*a**2\/2 - 3*a - 294. Find the second derivative of p(i) wrt i.\nAnswer: 36*i**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.5 (b) -0.7 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-21)\/(1218\/29)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.068.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*b = -50, 0 = d - 0*d - 3*b + 10 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 equal to 415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000663177 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/60 + 0 - (-4)\/10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3564) + sqrt(3564)*2 - sqrt(3564))\/((sqrt(176)\/sqrt(4))\/sqrt(4)))\/((sqrt(6)*-1*2)\/(sqrt(18)\/(sqrt(24)\/sqrt(4)))))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 34. Suppose 3 = -2*u + 25. What is the remainder when s is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*b**3 - 63*b**3 + 31*b**2 - 61*b**2.\nAnswer: 299*b**3 - 30*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or -0.01?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(175) - 4*(sqrt(175) + 1))*1 + 3 + -5.\nAnswer: 6 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*2)\/(sqrt(2) + (sqrt(2) - sqrt(288)*3)).\nAnswer: -6*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Suppose -2*v + g + 7 = 0, 14 = -5*v - 4*g - 1. What is the smallest common multiple of v and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131078444.4 rounded to the nearest ten thousand?\nAnswer: -131080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1449617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 841*d**2 - 140*d + 140*d - 4723*d**2.\nAnswer: -5564*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -39 - -19) + -14.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-16 + 117 - 105) + (1 - 79)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 545*a**2 + 7083*a - 5. Calculate n(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9 - 416\/(-384). Sort 0.01, d, 0.3, 0.8 in ascending order.\nAnswer: 0.01, 0.3, d, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365477734?\nAnswer: 2, 47, 181, 21481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 1 - 1*-8 - (0 + 3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2. Let h(x) be the third derivative of x**8\/2240 + 13*x**5\/60 - 39*x**2. Let a(w) be the third derivative of h(w). Give t(a(b)).\nAnswer: 324*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*h = -24, 5*f - 5 = -10*h + 55. Suppose -4*w = -2*w + 2, -3*a - w + 8 = 0. Let d = 2 + a. Solve 0 = -d*t - f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1558 or -0.1?\nAnswer: -1558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 + 107*t**2\/2 - 221*t\/2 - 327\/2.\nAnswer: (t - 3)*(t + 1)*(t + 109)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -175*t + 63*t + 58*t - 3 + 59*t + 4*t**2 in the form o*t**2 + f + n*t and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n + 1. Let s(x) = 3*x - 3. Let q be s(2). Let h be c(q). Let l = 49\/2 - h. Is l greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b + 7936 = 0. Let t = b - 1164. Suppose 3*n = -n + t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 10 = -3*j + 13*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - -18 - 3\/(9\/33).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/4*264\/(-20). Let t = 138 - j. What is the highest common divisor of t and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y + 13*y + 212. Suppose 4*j = -2*z - 100, 4*z + 3*j = j - y. Let p = 97 + z. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58889124 to the nearest 100000.\nAnswer: 58900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-3*2 + ((sqrt(108) + (-1*sqrt(108) - sqrt(108)) - sqrt(108)) + sqrt(108))*6)**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52593641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 2341011 (base 5) to base 11\nAnswer: 2a554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*(-2)\/12 - 1. Let l be (1 - 0)\/(-1 - -3). Let q = -0.9 + 0.9. Which is the closest to q? (a) l (b) -4\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -64. Let y be d + (-2 - 0) + (-40)\/(-14). Which is the closest to -19? (a) -0.4 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1278\/(-15))\/(57\/(-190)) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/5, -2\/5, 676?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2 - 123119*d - 82078 = 0?\nAnswer: -41039, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 + 29. Suppose 2*p + 2 = n. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i + 12. Calculate r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 5. Let t(n) = 1. Let v be (-2)\/(-33)*81 - -2*7\/154. What is v*t(l) + c(l)?\nAnswer: l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 651629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 5.6.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 370*j**5 + 728*j**4 + 346*j**3 - 12*j**2 = 0.\nAnswer: -1, 0, 6\/185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**5\/5 - 703*t**4\/5 - 7701*t**3 + 3025963*t**2\/5 + 6164624*t\/5 + 620172 = 0.\nAnswer: -90, -1, 46, 749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2777.296 - -2777.3. What is the second biggest value in z, 2\/7, -12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*3\/(-12) + 17. Let g = j + -2. Solve -5*q + g = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 6*x**4 - 341*x**3 + 1528*x**2 - 1040*x = 0?\nAnswer: 0, 5\/6, 4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 2341317636?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/3*-2 + 3. What is the third derivative of 3*s**6 - 90*s**4 - 6*s**g + 90*s**4 - s**2 - 12 wrt s?\nAnswer: 360*s**3 - 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*p + 15 = 0, -3*j + 35*p - 41*p = 30. Solve j = 2*m - 5*r - 5, -28 + 5 = 4*m + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -19 - 22 - b - 10 + 51. Let u(n) = -627*n. What is o(u(t))?\nAnswer: 627*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4\/7, -379 in decreasing order.\nAnswer: 2, 4\/7, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 4*u**2 + 9*u - 17. Let g be l(-5). Suppose -56 = -16*j + g. What is the smallest common multiple of j and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98.0985 to 1 dp.\nAnswer: 98.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6032 and 884.\nAnswer: 102544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2927.6447 to the nearest 10.\nAnswer: -2930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33365837473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g\/(g*g**(-2\/3)*g))\/g*g))**(-19)\/(g**(1\/2)*g**(-1\/4)))\/(g**(-4\/7)\/(g\/g**(2\/7))*g**3\/g*g*g*g**1) assuming g is positive.\nAnswer: g**(-4057\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8. Solve d*q = -3*q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 - 5*o. Let n be s(6). Suppose 4*k + k = n. Suppose z - k - 19 = 0. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4687 + 0.3687. What is the biggest value in 0.5, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.79 * -0.8.\nAnswer: 35.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2961169 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2 + 174*p + 1328 = 0. What is p?\nAnswer: -166, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**6\/360 - 5*s**3\/3 + 6*s. Let f(d) be the second derivative of b(d). Let x(r) = 13*r**2. What is f(x(z))?\nAnswer: -169*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmgmjmsjjmpjjjmgj. What is prob of sequence psmd?\nAnswer: 1\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -26*c - 54. What is the tens digit of f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2\/9 - 5084*f\/9 - 369056\/3 = 0.\nAnswer: -4856, -228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102263?\nAnswer: 7, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r + 3. Let g be v(-1). Sort -5, 10, g.\nAnswer: -5, g, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81842*g = 81861*g - 969 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -363?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*c + 6, c - 3*c - 4*d + 8 = 0. Suppose 0 = -p - l, 0*l - l = c. Let v be 0\/(p - 6 - -3). Solve 3*j - 14 = -4*y, v*j - 23 = 4*j - 3*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.039 and 2.2658?\nAnswer: -0.0883662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -552 + 885. What is the remainder when l is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 350 (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(15 - 5 - 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1256802489 times 0.3\nAnswer: 377040746.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -12. Let q(p) = -57*p + 8. Let h be q(x). Let c be 1\/(2 - 1) - h. Round c to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022781477 to 7 dps.\nAnswer: 0.0002278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1697.88 + 1632. Let y = 62 + m. Let u = y - 0.1. Round u to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 3.1, 1\/2, -2\/19?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose 5*t - 4 = -19, -3*f - t - 573 = u. Let r = -69 - f. What is the highest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69317614 and 4724?\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/189 (b) 0.3 (c) 0.2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 + 708*v**4 + 1794*v**3 - 227844*v**2 + 428787*v + 657720 = 0. Calculate v.\nAnswer: -232, -21, -1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - f + 6 = -q, q + f = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 314*v**4 + 206*v wrt v.\nAnswer: 3768*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/((-21)\/(-56))*497\/1704?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1048 and -0.03581571418.\nAnswer: -1048.03581571418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276048 is divided by 94?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Let y = -4 + r. Which is bigger: y or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 7*g + 63. Let j be l(7). What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1188 + 0*m + 2*m - 4*m**4 - 1189 - 2*m**3 in the form o*m**3 + l*m + u*m**4 + r + n*m**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2840234 or 2840285?\nAnswer: 2840285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 + 2 = 0. Let g(y) = -36*y + 5. What is the units digit of g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10636759 is divided by 797?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j**2 + 191*j - 15. Calculate the remainder when p(12) is divided by 183.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57405.\nAnswer: 3, 5, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 2*o**3\/3 + 10*o**2 - 2*o. Let m be y(13). What is m rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (11 - 1 - 33).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*c = 989*c - 18176 - 50124 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -18 (b) 3 (c) 2 (d) -5 (e) -24 (f) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - r**2 + 0*r - 11 + 0*r**2. Let w = -3 - -3. Give z(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/20 + n**3\/5 - 9*n**2\/10 - 27*n. Determine s, given that f(s) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13*l - 209. Let n be h(-16). Let v = 5 + -3. Put v, n, -8 in ascending order.\nAnswer: -8, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 389 or -19?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/19812 and -61\/20320.\nAnswer: 792480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 15 = 3*l, i - 4*i - 5*l - 13 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, g: 1, p: 1, a: 11, d: 2, f: 1}. Give prob of sequence apq.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 268576 and 44472?\nAnswer: 13697376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/17 in -1\/2, 2\/5, 8.1, -0.012, 19?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -f + 32, -a - 80 = -2*f + a. Let d be ((-6)\/(-40))\/(1518\/(-3289) + (-138)\/(-130)). Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(2)*1*-3)**2 + -1*(0 + sqrt(2))**2 + sqrt(2).\nAnswer: sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3788990*f - 16509915?\nAnswer: 3788990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*q + q. Is -0.1 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*w + 408, 4*o = -4*w + 559 + 281. Calculate the remainder when o is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = s + 3*s. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/2))\/z)**(-4) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217144 is divided by 8192?\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16226 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95064916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -7*h**5\/20 - 3*h**2 + 10*h. Find the first derivative of l(g) wrt g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l**3 + 2*l**2 - 44*l. Let o(f) = 5*f**3 - f**2 + 22*f. Calculate -7*o(r) - 4*s(r).\nAnswer: r**3 - r**2 + 22*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3302034331 - -31?\nAnswer: 3302034412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2390 + -2388. Let r be 3 - 1\/(21\/60). Which is the third smallest value? (a) -0.04 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -146\/531?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 486004102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 543497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/2063, 0.1, 0.5, 0.2, -1\/4.\nAnswer: -1\/4, -2\/2063, 0.1, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - 4*u**2 + 101*u + 769. Calculate b(-6).\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.4. Let j = 0 + v. Let h = -0.3 - j. Which is the closest to 1? (a) -1 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76336697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*l + 3*a, 12 = -4*l - a + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357, -324, -275, -216, -153, -92, -39, 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -11 (b) 9 (c) 7 (d) -4\/3 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 75*y + 698. Calculate j(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74\/119 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-12))\/(-4)*-377*36\/(-312).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 18 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313990 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/7 and 51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 0 - (-4 + 2). Let b(k) = k**2 - 9*k + 4. Let o be b(9). Suppose -p = -w - 3*p - o, 5*w - 4*p = 36. Which is bigger: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 32 = -4*r - 2*w, -4*w - 41 = -5*r. Suppose -6 = -4*n + 2. Sort r, n, 1 in descending order.\nAnswer: r, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -1\/9392 (c) 36 (d) 0.5 (e) -0.7 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31554.4 + -31554. Put k, -6\/317, 5 in ascending order.\nAnswer: -6\/317, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 8 - (-3 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkxxxx. What is prob of sequence bk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-3)*(-13)\/(-13)*((-405)\/(-50))\/27?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 42*t**2 + 62*t + 679. Let b be s(36). Which is smaller: b or 10686?\nAnswer: 10686","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 298679406287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170 + -171. Let c(u) = -18*u**2 - 9*u - 6. Let l(r) = r**2 + r - r. Let x(z) = i*c(z) - 15*l(z). Factor x(s).\nAnswer: 3*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 10. Let z be k(-7). What is the remainder when 2\/(-1 + (-45)\/(-43)) is divided by (8 - z) + (-1)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let j(n) be the first derivative of 2*n**3\/3 + 165*n - 250. Determine j(c(x)).\nAnswer: 2*x**2 + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 28, -8, -42, -74, -104?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -99 - 218*q + 204 + 10*q. Is l(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 503 + -9.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 12:59 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 185938999585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 2*p**2 - p + 1. Let j = -33 - -30. Give o(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -99. Calculate the remainder when 51 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22280 - 17676 = 1427*n for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 12*y - 95 = 0. Suppose 0*j - j + y*c = -16, -2*c = -3*j + 61. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189468 is divided by 63105?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1574 or -11020\/7?\nAnswer: -1574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40, 83, 126, 169, 212?\n\"Answer: 43*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + 4*l**3 + 2*l**3 + (17*l**3 - 29 + 29)*(-2 + 7 + 0) as m*l + r*l**3 + w + p*l**2 and give r.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 3821726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**4\/12 + 2*h. Let k(g) = 12*g**2. What is f(k(m))?\nAnswer: 144*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/9*378\/(-12). Let p be (-1440)\/s*42\/(-4). What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbp when three letters picked without replacement from {b: 7, p: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 529 - -662. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -76*c + 924. Let l(z) = -z**3 - 2*z**2 + 10*z + 1. What is the remainder when l(-5) is divided by a(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 678\/5*10\/4. Suppose -4*p = -21 - q. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/8985808?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 4:09 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + sqrt(343) + -4 + 5 + sqrt(343) + 5 + 2)*2 + 4.\nAnswer: 20 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4618\/15 - -308. Let i = r + -1\/3. What is the common denominator of 57\/5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c7619 (base 14) in base 5?\nAnswer: 110401044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5406191 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: Let d(u) = 2 - 1 + u + 5*u - 7*u. Let v(k) = -4*k + 3. Let n(a) be the second derivative of a**3\/2 - a**2\/2 + a. Let l be n(1). Determine l*v(i) - 6*d(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -10*w + 15. What is the greatest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77032138, -154064275, -231096412?\nAnswer: -308128549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12556 (base 8) to base 10.\nAnswer: 5486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 2:57 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 3:41 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 31*b**2 - 2*b + 13. Let v(s) = 33*s**2 - 2*s + 15. Calculate -6*g(l) + 5*v(l).\nAnswer: -21*l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2.6 (b) -2\/17 (c) 2 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*d + 42*d - 2030. Solve 2*q - d = 4*q - 5*i, 0 = 4*q + 4*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23655 and 6555?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(833) + -1))**2 - (-1 + sqrt(833))**2*2) + ((sqrt(833)*1*-5)**2 - -1*sqrt(833)*-4).\nAnswer: -56*sqrt(17) + 22493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-30) - (-2)\/(-6). Let d be (1\/2)\/(2\/1). What is the closest to i in 2\/5, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q. Let v = 15 - 10. Let x(j) = -3*j + 5. Let a be 12\/(-4)*4\/(-3). Let m(z) = 2*z - 4. Let p(y) = a*x(y) + v*m(y). What is u(p(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*p + 101, 4*v + 8 = 4*p + 392. Suppose 370 - v = 3*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 61*v**3\/6 - 95*v**2\/2 + 79*v. Differentiate r(h) with respect to h.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + (-1 + sqrt(13) + sqrt(13))*6))**2 + (1 + sqrt(13))**2 + 4.\nAnswer: -142*sqrt(13) + 1926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323.894777 rounded to 1 dp?\nAnswer: 323.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97.7 in 0.2, 4, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - (-111 - -46)) + (1 - -2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6669311 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**4 + 147*c**2 + 12*c - 147*c**2 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/4 - 2*r**3\/3 - 5*r**2 - 8*r - 5. Is 18 a factor of a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 9209623?\nAnswer: -27628869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10370350 + 17?\nAnswer: 10370367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 1. Let g = -1 - -2. Let s(x) be the first derivative of 2*x - 354. Give g*s(q) - k(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.89055 grams to tonnes.\nAnswer: 0.00005789055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 174\/10 + (-10)\/25. Suppose 5*r = -5*c - 5, r - c - n = 4*c. Solve -a + 0 = r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -105\/26212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, v: 3, q: 1, u: 4, c: 3, y: 2}. Give prob of picking 2 y and 1 q.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5344 + 9367. Suppose n = o + 403. Round o to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9824409265 - -92506637816823\/9416. Let b = l + 18\/1177. Let t = -19 + b. Put 2, t, 0.2 in increasing order.\nAnswer: t, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, i: 2, n: 3, a: 2}. What is prob of sequence ini?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0.3266, 1\/2, -0.183, 0.2.\nAnswer: -0.183, 0.04, 0.2, 0.3266, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*l - 10*l**3 - 1 - 24*l**2 + 86*l + 11*l**3 to z*l + s*l**2 + q*l**3 + c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*m + 4 = 0, -3*b - 12 = b + 4*m. Let f(j) = -4*j + 6. Let k(l) = l - 1. Calculate b*f(i) - 5*k(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 4. What is the highest common factor of 60 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5\/3 - 9103*v**4\/3 - 27346*v**3\/3 + 254968*v**2\/3 = 0.\nAnswer: -7, 0, 4, 9106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7632235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -79653 divided by -3793?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 1:30 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1189b4 (base 12) to base 4\nAnswer: 1011202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 7 - (-1 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6770.481 * 0.2.\nAnswer: 1354.0962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1168, 349 in decreasing order.\nAnswer: 349, -3, -1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 514618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21b + 1c0?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-24)\/17820 - 81\/405?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5778864 by -182.\nAnswer: 31752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 63405*t - 3233657. Calculate b(51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8)*(-40)\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.3 - -3.311993?\nAnswer: -96.988007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h - 39*h + 15*h - k = 72, 16 = 4*h + 4*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 16, 1\/2, 18, 3 in decreasing order.\nAnswer: 18, 16, 3, 4\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2405, -2840, -3297, -3788, -4325, -4920?\nAnswer: -5585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -237*p**3 - 106*p**2 - 2*p?\nAnswer: -1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -232207.18 to the nearest one hundred.\nAnswer: -232200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1\/5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536947 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16*11)\/(3\/6). Suppose -99 - 195 = -3*n. Let c = n + -66. Calculate the highest common factor of p and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252738*h**5 - 55019*h - 3?\nAnswer: 5054760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**6\/72 + q**5\/2 + 35*q**4\/6 - 14*q**3\/3 + 5*q - 139. Let f(m) be the third derivative of s(m). Solve f(v) = 0 for v.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j - 1. Let o(w) = -6*w + 1. Suppose -5*p - c - 14 = 17, -5*p - 4*c - 19 = 0. Give p*q(i) - 5*o(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0538284 - 0.05148. Round o to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, 114, 423, 900, 1545, 2358, 3339?\nAnswer: 4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 266514014?\nAnswer: 1066056056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1572 and 32494?\nAnswer: 25540284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*w + 27*w = -109*w + 4896. Let l(g) = -120*g**3 - g - 1. Let b be l(-1). What is the greatest common divisor of w and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**3 - 3*p**2 + 3*p + 5. Suppose -20*h + 362 - 202 = 0. Let v(u) = 26*u**3 - 8*u**2 + 8*u + 14. Calculate h*t(x) - 3*v(x).\nAnswer: -6*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 0*s**4 + 2\/3*s**5 - 4\/3*s**3 + 0 + 2\/3*s + 0*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699938 is divided by 1699923.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l**2 - 3*l**2 + 4*l**2)*(-35 + 5 + 30 - 131*l).\nAnswer: 917*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4 - 5. What is the second derivative of 4*g**4 - 2*g**4 + 2*g - 2*g - s*g wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33948 divided by 6.\nAnswer: 5658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1127.212 centimeters to micrometers.\nAnswer: 11272120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 divided by 25542.\nAnswer: 133\/12771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 4, 11, -0.041 in decreasing order.\nAnswer: 11, 4, -0.041, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y - 18 + 20 + 3*y)*(-407*y**2 - 7 + 199*y**2 + 193*y**2) to l + f*y**3 + s*y + c*y**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23699 - 10665. List the prime factors of m.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -0.2, 5, 806?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 53221610 (base 8) to base 10\nAnswer: 11346824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3099 is divided by 164?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 - 28\/(-6). Suppose b*g = 3*g + 10. Let n(y) = -53*y + 22*y + 15*y + 17*y + 2 - 1. Give n(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 728 = 5*p, -4*t + 2*p = -1014. Let z = -25 + t. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21453249 to 4 decimal places.\nAnswer: -0.2145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 - 19. Suppose 2*r - b - 75 = 0, -3*r - 3*b + v = -b. What is the remainder when 106 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5508 + 2756 - 65*d + 2753 - 211*d.\nAnswer: -276*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(1539) + 1) - (-4 + sqrt(1539)*4 - sqrt(1539))) + 5)**2.\nAnswer: -648*sqrt(19) + 55440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02252 less than 3.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**4\/4 - 2*r**3\/3 - r**2 - 2*r + 3. Let x(d) = -188*d - 936. Let h be x(-5). What is z(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175 (base 14) to base 9\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1008) + 4 + 3 + -1 + sqrt(1008))**2*-3 + (3*(2 + 1 + sqrt(1008)))**2*-4.\nAnswer: -48900 - 3744*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, j: 4, v: 11, k: 2}. What is prob of picking 1 j and 3 v?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/10 + 1068*u**3\/5 + 4296*u**2\/5 - 6848*u = 0 for u.\nAnswer: -8, 0, 4, 2140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72, 93, 102, 93, 60?\n\"Answer: -s**3 + 28*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -42 + 12. Let a = -5 + l. Solve -a - 5 = 2*g + 2*t, -3*t - 13 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371 - 366. Which is the second smallest value? (a) 0.2 (b) v (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(60*h + h + 8*h + 87*h).\nAnswer: 312*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/12 - q**3\/3 + q**2\/2 + 2*q. Let u be 3\/((-1)\/(-1) + 0). What is the units digit of o(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*o - 4 = -110*o. Solve 5*i = 10*i + o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a. Let s(i) = 2*i**2 + 3*i. Let w be s(-2). Let o(f) = -w + 2 - 3*f**2. Calculate o(k(j)).\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 3102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 1:52 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13498 and 53198?\nAnswer: 904366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from unnpupnauannnnp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14919391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*q - 42*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 5\/6*k**3 + 4*k - 1\/12*k**4 + 0 - 2*k**2. Let y be c(4). Solve -q - 3 = -y*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2 + 2820*j + 2819 = 0.\nAnswer: -2819, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/16*((-1050)\/324)\/35?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 1312.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - 396*c**2 + 182*c**2 + 37 in the form p + x*c + r*c**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1553356213.\nAnswer: 1553356213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i + 66*i = 30. Let p(w) be the third derivative of 0*w**4 + 0*w - 3*w**i + 1\/2*w**3 + 0 - 1\/12*w**5. What is the first derivative of p(c) wrt c?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/21 - 280828*n\/21.\nAnswer: 2*n*(n - 140414)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2163 and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150.36 + -149. Let f = n + -1.359999682. What is f rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tczcczdtccccttc. What is prob of picking 1 t, 2 c, and 1 d?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*v - v. What is a in 0*a + v*a**4 + 2\/7*a**5 + 0 - 2\/7*a**3 + 0*a**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 3*s**5\/20 + 4*s**3\/3 + 30*s. Find the second derivative of j(m) wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - r = 14, -3*r + 8 = -r. Suppose c*x + 1809 = 21*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -13895*x - 166917. Determine f(-12).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o + 8 + 5*o + 0*o + 5*o as u + w*o and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52528 is divided by 401?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1669*m - 561*m - 48 - 546*m - 565*m.\nAnswer: -3*m - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3922 + 5602. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/47 + 32\/141. Which is the nearest to -5? (a) i (b) 2 (c) -0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3 + 7 + 5 - 5*q. Let z be s(6). Let m = z - -21. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900135433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1676.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 8052*f - 728840.\nAnswer: -4*(f + 95)*(f + 1918)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111111 - -21?\nAnswer: 2111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-40)*(99\/(-27) + 3). Let f be 1 + 1\/1 + -1. Let g be (f\/4)\/(2\/3). Which is the nearest to 3? (a) g (b) -3\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/2 (b) -76 (c) 2\/9 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/3)\/4 + 2. Suppose 0 = 2*h - 3*h. Suppose 4*p - 37 = -3*t - h*t, x*p - 33 = -3*t. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 30 = -8*w, 4*w - 491 - 474 = -985 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723 + 3464 = -119*d - 97 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 d when three letters picked without replacement from {u: 2, i: 3, n: 4, w: 2, d: 7}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/270*(-50)\/(-285)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 14*u**3 + 8*u**2 - 8*u - 11288. Let d(z) = 5*z**3 + 3*z**2 - 3*z - 3759. Calculate -8*d(y) + 3*j(y).\nAnswer: 2*y**3 - 3792","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1537, -1193, -825, -421, 31, 543, 1127, 1795?\nAnswer: 2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -510, -2040, -4588, -8160, -12762, -18400, -25080, -32808?\n\"Answer: -a**3 - 503*a**2 - 14*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1. Let t(a) = 3*a**2 - 11*a + 38. Let v be t(5). Suppose 3*w - 3*m - 96 = 0, 87 = w - 4*m + v. Solve -4*o + 3*j - x = 0, -5*j - w = 2*o - 0*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-118)\/120 + 3. Let s(f) be the third derivative of 2\/3*f**3 + 1\/12*f**4 + 0*f + 0 + f**2 - v*f**5. What is s(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 26*g**5\/5 + 4493*g**4 + 975100*g**3 + 1973894*g**2 + 1040434*g + 185761\/5 = 0.\nAnswer: -431, -1, -1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-3\/5)*x)\/x)\/(x*(x*x\/((x*x**(2\/17)*x)\/x))\/x))\/(x*x**(1\/3)*(x\/(x**(-1)\/x)*x)\/x))**9 assuming x is positive.\nAnswer: x**(-4449\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*h - 28 = 0, 0*m - 3*h = 5*m - 27. Put -4, 4, m in ascending order.\nAnswer: -4, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlkxxlkxklxxxxxxxl. Give prob of sequence xkl.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 + 2*q - 2*q + (-2*q + 4*q - 4*q)*(-q - 5 + 5)*(164*q**3 - 35*q**3 + 29*q**3).\nAnswer: 318*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - l**2 - 16*l + 5. Let k(o) = -2*o**3 - 2*o**2 - 17*o + 7. Let v(j) = 3*i(j) - 2*k(j). List the prime factors of v(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -349, -1\/116, -2.16?\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/223811 and 53\/10?\nAnswer: 2238110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4385, 1, -16, 9, 83 in increasing order.\nAnswer: -16, 1, 9, 83, 4385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 12133?\nAnswer: 12231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 25 = 6*p - p, 4*p + 7 = -3*s. Is 4 a factor of 448\/140*65\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 195*o. Let g(x) = -3*x. What is g(m(s))?\nAnswer: -585*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4690, 85, -4, 3.\nAnswer: -4, 3, 85, 4690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*o + o. Let w be -2*(-1)\/o - -4. Suppose -w*b - 84 = -7*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - -0.4. Let l = 4 + r. Let h = -8 + 5. Which is the second biggest value? (a) -1 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 11*y - 11. Let i be s(-8). Suppose -5*q + 8 = b, 12*q = -2*b + i*q + 27. Solve 2*g - 3 = g - c, -5*g + b = 4*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*d - 22. Suppose -2*x - d = x. What is the remainder when 19 is divided by (-3)\/12*x*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -7. Suppose 3*u - 45 = 2*u. What is the greatest common divisor of p and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -157682, 8, 3 in descending order.\nAnswer: 8, 3, -157682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82632*q + 106 - 82634*q + 114 - 337 + 117.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 56 + 49. Suppose n = -i - 0. Let o = 24 + n. Solve 4*d - o*d + 5 = 3*m, 7 = -4*d - m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-272)\/(-96)*(-88)\/(-68)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175256*r + 175271*r + 225 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -1\/60*v**4 + 0*v**2 + 0 - 12*v + 0*v**3. Solve p(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 9.006. Let p = l + -2.106. Let k = p + 2.0999995. What is k rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1330 = 117*a + 160 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11*l**2 + 25*l + 93. Determine s(-4).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26371155 a multiple of 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 5 = -f - 5*l, -15 = -5*f + 5*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let m be h(-1). Let x(l) = l**3 + 24*l**2 + 21*l - 50. Let n be x(-23). What is the closest to -0.03 in m, n, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 12:30 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2676\/15401 or -1?\nAnswer: 2676\/15401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfx when three letters picked without replacement from axxafaa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q*x**5 - 5*q*x**3 - 6*q*x**2 - 2*q - x**4 + 48*x**3 + 108*x**2 wrt x.\nAnswer: 180*q*x**2 - 30*q - 24*x + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) 56\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 541900 to the nearest 10000.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**3 + 4*a**2 + 10*a - 32. Let g be k(-4). What is the greatest common factor of 28 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684 = 8*f + 2668. Let i = -118 - f. List the prime factors of i.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -705? (a) -4 (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 20*q - 21 = 0. Solve -14 = 3*f + 2*t - q, -3*t - 13 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*y - i, 4*i - i = -12. Suppose -2*f + 1556 - 166 = y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -25*r**4\/2 + 35*r**2 - r - 67. What is the second derivative of w(p) wrt p?\nAnswer: -300*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.66 times 7782\nAnswer: -20700.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 4*l + 3. Let f = 18 - 23. Is o(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110 * 12.19.\nAnswer: 1340.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(20) - ((sqrt(275)\/sqrt(5) + sqrt(55))\/sqrt(11) - sqrt(5))) + 1 + -1*(sqrt(180) + -1 + sqrt(180))*6)**2.\nAnswer: -284*sqrt(5) + 25209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 k when three letters picked without replacement from nnrnnknkrk?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -362\/11 and -19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221.2 - -30.2. Let v = w + 121. Let l = 70.00000098 + v. What is l rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8521073*g**6 - 2469*g**2 - 3300?\nAnswer: -1022528760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, q: 3, o: 3, y: 1, e: 1}. What is prob of sequence oe?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.049379175 and 3.\nAnswer: 0.148137525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033*h**2 + 171*h - 1033*h**2 - 3*h**3 - 159*h.\nAnswer: -3*h**3 + 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 32*c - 6272. Suppose u - 84 = -0*u. Calculate the highest common divisor of u and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11035 by -537.\nAnswer: 11035\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271198?\nAnswer: 2, 135599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 0, 2*q + 3*q - 94 = -4*r. Let l = 1 - 1.2. Which is the nearest to 1\/3? (a) -3 (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*m + 12 = 0, 4*m = 4 + 4. Suppose r*c - 17 = 3. Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.71259 litres to millilitres.\nAnswer: 10712.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 2:00 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*t - 4\/3*t**3 + 2\/9*t**5 + 0*t**4 - 16\/9*t**2 + 0.\nAnswer: 2*t*(t - 3)*(t + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2511, 2885, 3261, 3639, 4019, 4401?\n\"Answer: j**2 + 371*j + 2139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 v, and 1 q when three letters picked without replacement from dqqqqqvqqdrd?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p**2 - 4*p + 4. Let s = -8 + 3. Let k be n(s). Let l = k + 17. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31201824?\nAnswer: 2, 3, 325019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-504)\/99 - (-10)\/2.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 9*x + 10. Let r be b(9). Suppose -s + 4 = 2*p + 4*s, 5*p + 2*s = r. Solve p*f = 7 - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -234, -352, -470?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.3 in 2, 3, -0.16, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/5 - 94*k**4\/5 - 4828*k**3\/5 - 3086*k**2\/5 + 78747*k\/5 - 14148 = 0. What is k?\nAnswer: -36, -5, 1, 3, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyxxyxyxyyxyyy. What is prob of picking 4 x?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*u, -60*m - 4*u + 19693 = -65*m. Round m to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.175748 and 1000.\nAnswer: 1000.175748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110011110010010 - 111010?\nAnswer: 110110011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/9 - 26860*q**2\/9 + 1497998*q\/9 - 163460 = 0.\nAnswer: 1, 55, 13374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + 2.7. Let w(v) = -v**2 - 43*v - 439. Let j be w(-26). Which is the nearest to -1\/4? (a) x (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 34. Let k = -6 - -11. Solve -n - 3*c - 9 = 0, -k*n - 2*c = 3*c + p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 + -4815?\nAnswer: -4844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-26)*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, i: 3, a: 2, l: 1, e: 4}. What is prob of sequence aaii?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u = 611 - 203 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*p - 393, 1909 = 3*i + 2*i + 4*p. Calculate the highest common divisor of i and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -1854.\nAnswer: -26\/927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/(-12) + 412\/80 and 57\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -317389, -317388, -317387?\n\"Answer: f - 317390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 4*k + 2*v, 2*k - 263 = -3*k + v. List the prime factors of k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -88 + 88 - l**2 - 3*l. Let v be o(-9). Suppose 27*u - 17*u = -51*u. Put u, -5, v in ascending order.\nAnswer: v, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8396.9 + -8397. Let y = -755\/9 - -84. Which is the closest to m? (a) y (b) 0 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6\/13)\/y)\/y**(5\/6)*(y**7*y)**(-41))**(-3\/14) assuming y is positive.\nAnswer: y**(25763\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*y + 8 = 201*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**2 - 39570850*g - 39570855 = 0.\nAnswer: -1, 7914171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i + 12. Suppose -4*t + 8 = -0. Let h = t + -2. Is c(h) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3294 + 3295. What is the highest common divisor of x and 133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-2)\/4)\/(7*(-25)\/1050)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15797 - 15897.17. Let g = 100 + l. Is 0 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/3)\/(540\/(-4536))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19339680 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23658 divided by 3.\nAnswer: 7886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-5\/6))**(17\/7)\/(((c*c**(-1\/9))\/c)\/(c\/c**(1\/2))) assuming c is positive.\nAnswer: c**(64\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189 is divided by (-10)\/(-25)*41990\/52?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13678 + -68388\/5. Which is the closest to 4? (a) v (b) 1\/15 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21373.\nAnswer: 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/14603493 and -2\/1917.\nAnswer: 131431437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*q - q + 9 = 0, -2*v + 5*q - 17 = 0. Let j(b) = 8*b - 6. Does 13 divide j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, -1\/4, 5 in decreasing order.\nAnswer: 5, -0.2, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/5, -5, 0.09, -168, 3\/20 in increasing order.\nAnswer: -168, -5, 0.09, 3\/20, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5410178, 3, 1\/7, 1\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 722109271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 206*r - 35*r - 342 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**0\/j*j)**(-39)*(j**(1\/2)*j)**(-50))**(-15))**(-4\/9) assuming j is positive.\nAnswer: j**(-760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5366.5 + -5367. Which is the closest to 4? (a) f (b) -5 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*o + 10*o + 1223 + 12 = -195 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 + -70. Suppose -5*w = -2*p - 4*w + 8, u*p - 2*w = 4. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 256, -7, 5.\nAnswer: -7, -5, 0, 5, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 52 - 52 - 37*n**2 + 4*n**2. Let a(b) be the third derivative of 0*b**4 + 0*b**3 + 1\/60*b**5 + 0 + 0*b - 16*b**2. Determine u(a(f)).\nAnswer: -33*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7790?\nAnswer: 2, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-6)*2859*1\/(-120). Let i = y + 193\/6. What is the fourth biggest value in 9, 3\/5, i, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9 - 5*f - 7 + 4 + 6*f. Determine p(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) -5 (b) -2\/9 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38439 or -38443?\nAnswer: -38443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*l**2 - 19*l**2 + 56*l**2)*(-1 + 1 - 2*l).\nAnswer: -30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 20*i - 457. Let g be o(23). Suppose 0 = 2*k - 2*s - 2 + 12, -2*k - 2*s + 2 = 0. Which is the third biggest value? (a) -0.3 (b) k (c) g (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + j + 1. Let g = 0 - -1. Let v(w) = -4*w**3 + w + 2. Let c = 55 + -30. Suppose -c - 1 = 3*u - 4*d, 3*d - 25 = 5*u. Determine g*v(n) + u*h(n).\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**3 - 3560*j**2 + 66075*j - 166320 = 0.\nAnswer: 3, 16, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504\/(-630)*(-10)\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 4:28 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17*24\/(-6120)*5\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 8. Calculate the smallest common multiple of i(-2) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -90\/137, 9 in decreasing order.\nAnswer: 9, 0.08, -90\/137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/(-15)*(-65)\/2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16547700.9 to the nearest one thousand.\nAnswer: -16548000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*x**2 + 11*x**2 + 25*x**2 - 2*x**2 + 2*x**2 - x**2 - 2*x**2 - x**2 + 4*x**2 + (-x + 2 - 2)*(2 - 2 - x).\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11011 - 20?\nAnswer: 10331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -4. Let g = 1091\/88 - -71\/8. Let c = 228\/11 - g. What is the third smallest value in l, -0.3, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 30*m - 20 = 0. Let c(l) = -76002*l + 10. Let r be c(m). What is r rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 40. Calculate f(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-69)\/(-184)*(-1)\/1191). What is s rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 23*v**3 + 190*v**3 - 4*v.\nAnswer: 167*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/17)*w**(-3\/8)*w\/w**(-3)*w**(1\/6))**(-10\/7) assuming w is positive.\nAnswer: w**(-10015\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -188.4?\nAnswer: 193.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18fb5 (base 16) in base 3?\nAnswer: 12012100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 85384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00798 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 15) to base 3\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1, -27, -4\/5 in ascending order.\nAnswer: -27, -4, -1, -4\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 0. Let y = 10 + -2. Let h = y - u. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -4*4\/8 + 218. Let a = b + 176. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 3*a**2 - a - 2. Let l be h(-2). Let g = -5 - -10. Suppose -y - l*y = -g. Put y, 2, -5 in ascending order.\nAnswer: -5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((61776\/96)\/(-143))\/4.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 82. Let n be (0 - 0)\/(-4 - -9 - p). Solve n*f - f - 8 = -2*m, 3*f = 3*m - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 59*x + 60*x - 2305, -2*k - 4*x + 2314 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32561*f**2 - 64289 wrt f?\nAnswer: 65122*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 76 = -3*g. Suppose 18 = 7*v - 52. Calculate the remainder when (g\/(-4))\/((-1)\/8) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d - 14*d - 36 + 36.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.217 + -0.817. Put 36, y, 4 in ascending order.\nAnswer: y, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.506983063 rounded to 3 decimal places?\nAnswer: 1.507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**5 - 312140*h**4 + 936465*h**3 - 20*h**2 - 1248620*h = 0. What is h?\nAnswer: -62431, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:13 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 20061?\nAnswer: 140427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -60, -57, -58, -63?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -30*i - 176. Let p be o(-6). What is the greatest common divisor of 2976 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 66120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -5*n - 333806*i + 333801*i, 3*i + 31 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3))\/r*r\/r**(-7)*(r**(-6)*r)\/(((r**7\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1399 + -0.4399. What is the third biggest value in -9, -2\/21, a?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4690 = 5*c, -2*y + 3743 = 2*y + 5*c. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -16.4, 4, 177, -0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3458*p**2 - 7*p + 4. Is w(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:42 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128\/48)\/(1\/(-6)*2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -192788*a - 1. Let q(f) = -12*f. Determine x(q(u)).\nAnswer: 2313456*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10440\/(-10150)*28\/(-3). Factor -12\/5*o**2 + r*o**3 + 0*o + 0 - 21\/5*o**4.\nAnswer: -3*o**2*(o - 2)*(7*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0, -1\/4, -4612, 0.2?\nAnswer: -4612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Which is smaller: d or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 4) in base 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {e: 7, b: 4, r: 2, k: 5}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/5 + 56*z**3\/5 + 242*z**2\/5 + 276*z\/5.\nAnswer: 2*z*(z + 2)*(z + 3)*(z + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*y**5 + 22*y**5 - 9*y**2 + 0*y**2)*(-38 - 34 + 61).\nAnswer: -11*y**5 + 99*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 32\/17 + 22\/(-102)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649928 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -255 - -215 - (-25 + 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 22*u + 91. Suppose -8*y - 4*p - 9 = -3*y, -3*p - 8 = 4*y. Let w be q(y). Solve 5*b - w*d + d = -30, -d = -2*b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + (sqrt(75) - (sqrt(75) + (sqrt(75) - (sqrt(75) + 0)) + sqrt(75) + -4)) + -3*(sqrt(75) + 0)*-1)*-2)**2.\nAnswer: -8376 - 3360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -81*a**5\/5 - 2*a**3\/3 + 64*a**2 + 23. What is the second derivative of g(b) wrt b?\nAnswer: -972*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*v - 210 = -196*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -664 or -666?\nAnswer: -666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -125946640+311\nAnswer: -125946329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6554.545ml in litres?\nAnswer: 6.554545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 97*t + 144. Calculate c(-47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 8*w - 320. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*4\/(-237)*(-1566)\/(-2088)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -14*h**2 - 1. Let w be g(-1). Calculate the lowest common multiple of ((-5)\/w)\/((-2)\/(-6)) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 396*r + 28953. What is t(99)?\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 546574466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.395 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5) - (33\/(-110)*26)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1386 and 504?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(((-5)\/5)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 8:30 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, -233, -4, -1.\nAnswer: -233, -17, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10247274.\nAnswer: 2, 3, 97, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18410869?\nAnswer: 31, 593899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/17)*s**28*s**(-19)*s**(-1\/27) assuming s is positive.\nAnswer: s**(4060\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * 9\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (29\/(-4))\/((-4)\/(-16) - 3) and -61\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 6*d - 1. Let b(a) = 9*a + 2. Let x be b(3). Suppose -x = -5*m - 4. List the prime factors of n(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {v: 5, c: 7, l: 2}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000719 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-33)\/(-66))\/((-2)\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 461 - -6dcde?\nAnswer: 6e250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + 1.71. Let r = 0.4 + s. Let w = 0.018 + 0.982. Is r less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2672584 divided by -18058?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 20?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 0*u + 0*u**4 - 13\/6*u**6 + 0*u**3 - 15\/2*u**2 - 8 + 0*u**5. What is the second derivative of h(s) wrt s?\nAnswer: -260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -229 + 226. Let t be z\/(-6) + (-3 - 55\/(-20)). Which is the closest to t? (a) 0.23 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1293*q**2 - 1663*q**2 - 8890*q - 10154*q**2 + 543*q**2 wrt q.\nAnswer: -19962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-1\/18)*p)\/(p**(-8)\/p*p)*p**(2\/59)*p**(3\/10)*p)**39 assuming p is positive.\nAnswer: p**(423787\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -36, -46, -52, -54, -52?\n\"Answer: 2*g**2 - 20*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3422, -3414, -3404, -3392, -3378, -3362, -3344?\n\"Answer: w**2 + 5*w - 3428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 18*n - 2*n)*(-8 + 3 + 3)*(-20*n**3 + 1633 - 1633) as o + i*n**4 + k*n**3 + w*n + z*n**2 and give i.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -437*p**2 + 5826*p - 6980. Calculate x(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 154552 + q**2 - 110675.\nAnswer: -q**2 - 265227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -l + 4*x + 86, 4*l + x - 344 = 0. Suppose 4*f - l = -70. Solve 0*t - f = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 468061 and 238?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + (-45)\/(-10))*(7 - 5). Let d = 171\/8 + -903\/40. Put -5\/3, u, d in decreasing order.\nAnswer: u, d, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001100101001 (base 2) to base 15.\nAnswer: -2a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280 plus 105?\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4488125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vavgznvivavgag. What is prob of picking 1 z, 1 i, and 1 a?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.12 * 7.5.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*p + 2*d, -3*d + 2*d = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 33. Let a(o) = -o**3 + 7*o**2 - 5*o - 2. Let d be a(z). Let r be 3*(2 - 3) + d. Let x(v) = 5*v - 1. What is x(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 7:50 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -244286\nAnswer: 244288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 164308737 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*y**2 - 31*y**3 + 3*y**3 + 29*y**3 as r + k*y + z*y**2 + q*y**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + o + 3)*(3*o + 0*o - o)*(323*o**2 + 39*o**2 + 182*o**2)*(-3 + 3*o + 3).\nAnswer: 3264*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/32 + 19\/32. Let n = -229\/2 + 115. Let u be (-8)\/(624\/66) - -1. Which is the nearest to n? (a) t (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 3*b**2 + 9. Give l(-3).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216003239?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(38)\/sqrt(2)*5)**2 + sqrt(114)\/sqrt(96) + 3.\nAnswer: sqrt(19)\/4 + 7603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (8 + -4)\/4. Let d(t) be the second derivative of -1\/40*t**5 - b*t + 1\/6*t**3 + 0*t**2 + 0 - 1\/24*t**4. Suppose d(a) = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 15*y**2 - 35*y - 17. Let v be l(-17). Suppose 3*p - 3*s - 1047 = v, 699 = 2*p - 0*s - s. What is the highest common divisor of 50 and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274895\/66 + 4165. Does -1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 314 + -240. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4924 + 4879.38. Round o to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11242, -22383, -33522, -44659, -55794, -66927, -78058?\nAnswer: -89187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1584.317 millilitres to litres.\nAnswer: 1.584317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5247 + -1418. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36476 by 9119.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m - 204. Let k be l(52). Solve 0 = k*y - 0 + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 44 = 5*p, 3*c - p = 22 + 82. Let g = 41 + c. What is the greatest common factor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380859, -380842, -380835, -380844, -380875?\nAnswer: -380934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.4, -1\/402?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49025 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5))**2*1 + (sqrt(5) - 2*sqrt(245)) + (sqrt(80) + (sqrt(80) + sqrt(80) + 3 + sqrt(80) - sqrt(80)))*-3 + sqrt(80) + -3.\nAnswer: -45*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 254 + 243 + 73 - g**3.\nAnswer: -g**3 + 481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12056 is divided by 316?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - w - 5 = 5*k, 5*k - 4*w - 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*o**4*z - 9*o**2*z**2 + 2*o*z**2 + 35*o*z wrt o?\nAnswer: 240*o**2*z - 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 8*z - 3. Suppose 2*q + 8 = 3*q - 3*p, -16 = 2*q + 2*p. Let w be c(q). Suppose -w + 3 = -t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-378)\/(-63))\/(4\/6*-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -245*s + 107465. Give k(439).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 263, 262?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/6)\/(4*18\/72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/21 + 5)*6\/(-10). Is u greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - n + 5 = 1, 0 = -4*u + n + 16. Let m be 8*u\/40*5. Solve m*f - 1 = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 3:09 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*t*u*x + 85*t*u - 44*t*x - 12*t + 1553*u - 710 wrt u?\nAnswer: -5*t*x + 85*t + 1553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((174\/(-145))\/(6\/(-15)))\/(7*2\/84).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 49 = 2*y, 3*y + a = 4*y + 26. Let f = -17 - y. Does 17 divide (f - 7) + 17 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*j*l**6*y - 4*j*l**3*y + j*l**3 + 4*j*l*y + 18*j - l**2 wrt l.\nAnswer: -1200*j*l**3*y - 24*j*y + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*c**4 + 6*c**2 - 13*c**2 - 27*c + 41*c**2 - 44*c**3 - 27*c**4 wrt c?\nAnswer: 48*c - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nznzzstjsnnnntz. Give prob of picking 2 n, 1 t, and 1 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -21189a10?\nAnswer: 21189a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + -58. Suppose -3*l + l = -48. Suppose 4*q + 4*f - 25 = k, 4*q - l = 4*f. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 2*z**2 + 0*z**2)*(2 - 1 + 3) + (76*z + 17*z - 26*z)*(-5*z + z + 3*z) - z + z**2 + z.\nAnswer: -58*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23840261 a multiple of 656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z**2 + 11 - 11)*(3 - 6 - 1)*(z + 0*z + z).\nAnswer: 72*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/210*(-84)\/18*1755\/180.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 17}. What is prob of sequence zzbb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(k**5 + 2*k**5 - k**5) + 2*k**5 + 0*k**4 + 0*k**4 + (2 + 2*k**2 - 2)*(5*k**3 - 3*k**3 - k**3) - k**5 + k**5 + 2*k**5.\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 32*s + 29*s - 14615 = 0, 0 = 2*x + s - 5846. Calculate the remainder when x is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**8\/20160 - p**7\/1008 + p**6\/360 + p**5\/15 - 9*p**2. Let f(i) be the third derivative of r(i). What is f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2485442*p - 1242719*p - 1242724*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 24*z - 196. What is s(0)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**3 + 2*b**2 - b. Let c(m) = -10*m**3 + 3*m**2 - 2*m - 1. Let i(o) = 228*o - 1599. Let f be i(7). What is f*n(r) + 2*c(r)?\nAnswer: 7*r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101000111011000 + 100011?\nAnswer: 100101000111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10*(-6 - -1). Suppose i*n = -n + 45. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 1, c: 3, p: 2, j: 3}. What is prob of picking 1 s and 3 j?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/7 - 15\/(-7)*1. Find the third derivative of 0*f**5 - 4*f**r - 7*f**5 - 4*f**2 + 0*f**5 wrt f.\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 + 64*z + 5. Let r(m) = 2*m**2 - 33*m - 3. Let x(y) = 3*p(y) + 5*r(y). Let l(o) = -2*o. What is x(l(q))?\nAnswer: -8*q**2 - 54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 18*g - 15.\nAnswer: -3*(g - 5)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/120 and -163\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**3 + 21160*n**2 + 27835392*n - 393853824 = 0. What is n?\nAnswer: -2652, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = k - 1086, 58*z - 61*z = 5*k - 5394. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7295, 14628, 22075, 29720, 37647, 45940, 54683?\n\"Answer: 14*v**3 - 27*v**2 + 7316*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3911951000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 t, and 1 v when four letters picked without replacement from {a: 3, x: 4, v: 3, d: 4, t: 1, u: 2}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -8. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13 - m**2 - 4*m + 56 - 18 - 24. Let u be g(-2). Solve o = -3*p - 4, -o + 3*p = -9 - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74798736 divided by -4.\nAnswer: -18699684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 6*k**2 + 3*k - 4. Give d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (17 - (-6 + 2 + 10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 91*n**2 + 758*n + 9. Let w be h(-9). Calculate the greatest common factor of 90 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*z = -256*z - 151*z - 37848 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + r**2 + (r - 3*r + 0*r)*(3*r - 3*r - 2*r))*(-27 + 25 - 16).\nAnswer: -90*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/11, 104\/35, -2.4, 0.4 in descending order.\nAnswer: 104\/35, 0.4, 2\/11, -0.4, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3251353 (base 6) to base 14.\nAnswer: -4324d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -10. Let q be 12 + (131\/2)\/(99\/(-18)). What is the smallest value in q, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - u + 28. What is o(12)?\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.22 rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + 58530*q - 2*q**3 - 58531*q - 8*q**3 as c + x*q**3 + n*q + d*q**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l - 10. Let v be s(-10). Does 17 divide 1*v + 3 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2936, -2, 287, -48, -4.\nAnswer: -48, -4, -2, 287, 2936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -2*l - 0*t + 6, l + 19 = 5*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/7, -13, -449, 57, 4\/5, -0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25 + -0.52. Let v = y - 5.73. Which is the third smallest value? (a) v (b) 0 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6032 and 2?\nAnswer: 6032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619818816?\nAnswer: 2, 7, 11, 41, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1859, -3719, -5579, -7439?\nAnswer: -9299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.98 + -27.98. What is the smallest value in p, 0.3, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1179 - -729. Let j(b) = 4*b**3 + 6*b**2 + 5*b - 2. Let d be j(5). Let a = d + q. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7747708 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 0 = 4*w - 2*s + 22, -494*w + 489*w - s - 17 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*(-22)\/(-385))\/((-13)\/(637\/70)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 92. Solve -m = z - 5*l - 11, 3*z = 5*l + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**3\/3 + 21*v**2\/2 + 10*v. Let x be p(-7). Is 2\/x - (-20500)\/35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -306 - -338.4. Let s = -48 + 16. Let l = s + b. What is the smallest value in l, -2\/13, 17?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, e: 6, t: 4}. What is prob of picking 2 w and 1 e?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 476 = -168. What are the prime factors of f + -2 + (1 - -3)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 182 = 24*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 6. Let w = -53 - -81. Let c be 212\/w - (-12)\/(-21). Calculate a(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 15, x: 5}. Give prob of picking 2 x and 1 u.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 5*n - 7*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3373.596 to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*-24\nAnswer: 4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4 - 6*a**3 - 2106*a**2 + 4222*a - 2112 = 0?\nAnswer: -32, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 25 + 740*a + 1 in the form d*a + x and give d.\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x + 63. Let z be c(0). Let n be (-13)\/3*(0 - -6). Let m = z + n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732 + 1694 + 1198 = -180*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okvkkkoqqqokvvqvtov. Give prob of picking 1 t and 3 v.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + 0*h)*(-35*h**2 + 3*h**2 - 104*h**2 + 4202*h**2) + 4*h**3 + 0*h**3 - 2*h**3.\nAnswer: -12196*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2055921*j - 97767 with respect to j.\nAnswer: -2055921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 - 0.7. Let u = -2 - z. Let q = 4 + u. Which is the second smallest value? (a) -1 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288954100 rounded to the nearest 100000?\nAnswer: 289000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, -19, -24, -31, -40, -51?\n\"Answer: -u**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74827.3817711 take away -3.5?\nAnswer: 74830.8817711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 6*d + 36154. Let u be 1\/(-3) - d\/1852. Let t = u - -10\/463. What is the common denominator of -53\/8 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:54 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.252152 + -1.18838.\nAnswer: -12.440532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.1, -0.4, -13, 1\/7, -0.16?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**4 + 4*c**3 + 15*c**2 - 4*c - 2. Let r(p) = 12*p**4 - 15*p**3 - 60*p**2 + 15*p + 6. Let s(k) = 21*h(k) + 5*r(k). What is f in s(f) = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*m**4 - m - 2 + m**2 - 6*m**4 - 11*m**4 in the form s + u*m**2 + g*m**3 + a*m + v*m**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1577 + 40*a**3 + 1577.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2044410231 (base 5) in base 4?\nAnswer: -100120130221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 5740*n + 11480*n - 5740*n + n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 14*y + 11*y - 30 + 41 - 11. Let h(j) = 2*j. What is h(t(g))?\nAnswer: 50*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -765.1 + 765. What is the second smallest value in -11.8, b, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1109*s**3 + 130*s**3 + 135524*s**2 - 271007*s**2 + 135483*s**2.\nAnswer: 1239*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (1 - 4) - -6. Suppose g*r - 22 = -5*s, 125 = 5*r + 4*s - 9*s. Let b be 10\/(-35) - (-216)\/r. Are b and 10 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5550 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 5*j + 12. Let x be t(5). Let q = x - 147. What is q rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319950 is divided by 1003?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -8*o + 20. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 38*y + 1. Let v(c) = -51*c - 1. Let a(d) = -4*i(d) - 3*v(d). Let p(z) = -3*z**2 + 2*z + 1. Let f be p(2). What is a(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 212 - 117. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14603948 rounded to the nearest one thousand?\nAnswer: 14604000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/15 + 232*u**3\/15 - 66776*u**2\/15 + 2618048*u\/15 + 6053248\/5 = 0 for u.\nAnswer: -262, -6, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*5)**2 + -2 - sqrt(1008).\nAnswer: -12*sqrt(7) + 25198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -663051808 and 0.03.\nAnswer: -663051807.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/17 (b) 1\/2 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*q**2\/11 + 6*q\/11 = 0. Calculate q.\nAnswer: -3\/56, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, 51, 255, 455, 651, 843, 1031?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*25\/(150\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 152 = 3*g, 3*d - 3*g - 357 = -129. Find the third derivative of 4*c**2 + 2*c**2 + 48*c**4 - d*c**4 wrt c.\nAnswer: -672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 32 + 224 = 0. Let p(w) = 3*w**3 + 13*w**2 + 4. Let u(j) = j**3 + 3*j**2 + 1. What is z*p(m) + 26*u(m)?\nAnswer: 8*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -452202005 divided by -5.\nAnswer: 90440401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507928407.\nAnswer: 3, 7, 67, 361001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31356003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 0 + (12 - -2 - 14 - 57)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 0*q**2 - 6 + q**2 + 6*q + 14. Let c be d(-4). Let 10*g + c*g**3 + 0*g**3 - 8*g - 2*g**3 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -33. What is the second derivative of t**4 - b*t + 6*t**4 - 7*t**4 - 2*t**5 wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13725800 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 3*f**2\/2 - 2*f - 2493. Let p(o) = 4*o**2. What is p(h(g))?\nAnswer: 36*g**2 - 48*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 7086.77 to the nearest 100.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 0 - -1 - -2. Suppose g*x - 3 = c, -5*c = 3*x - 19 - 2. Let v = 14 - 10. Calculate the remainder when v is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 8*z**2 - 2*z**2 - 3*z**2 + 7*z + 1 + 0*z**2. Let g be l(-5). Calculate the common denominator of 3\/(18\/g) + 2 and -119\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1057 divide 8532104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 29 - 27. Calculate the greatest common divisor of t and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-7)\/(252\/(-8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 796.6272 millimeters to centimeters.\nAnswer: 79.66272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7480 and 408.\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -32. Let c be (-12)\/(-48) + k\/(-8). Which is smaller: c or -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -90, -137?\n\"Answer: -47*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 189 - 283 + 112*o.\nAnswer: 112*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 10:17 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/3, -1, 3 in ascending order.\nAnswer: -1, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223449130 divided by -22344913.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**2\/7 - 32656*u\/7 + 18837620\/7 = 0?\nAnswer: -8705, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from sspinubnuussnsssss.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (1 + -1 + sqrt(343) - sqrt(343)))*2)**2 - (-2 + 0 + (sqrt(343) + 2)*-6)**2.\nAnswer: -12480 - 1176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 13*r + 10. Let l be y(-12). Which is the nearest to 6? (a) -2\/3 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**8\/j))*j**(-6\/13))**(2\/41) assuming j is positive.\nAnswer: j**(170\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/117 + 973\/117. Suppose 12336 + 21665 = -11*p. Let g = p + 37211\/12. What is the common denominator of n and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**5 - t**4 - 1. Let z(g) = 108*g**5 + 6*g**4 + 20*g**2 + 4. Let v = 599 - 604. Let x(l) = v*i(l) - z(l). What is the third derivative of x(r) wrt r?\nAnswer: -6780*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h**(-5)\/h)\/h)\/h*h)\/h)\/h)**(-17))**(-2\/43)\/((h\/h**(-1\/19))\/h**(-8))**(3\/37) assuming h is positive.\nAnswer: h**(-237306\/30229)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -20406*b**2 + 17581*b**2 + 30 - 10 - 46155*b**2. Let t be a(-7). What is t rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328966.\nAnswer: 2, 11, 19, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-6)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005287 is divided by 197?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.04069923 rounded to three dps?\nAnswer: 8.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64c427 + 7?\nAnswer: -64c420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-8))\/(6\/(-4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 21*w**2 - 52*w + 1096. Let k be t(21). Solve 4*f**3 + 14*f - 6 - 1\/2*f**k - 23\/2*f**2 = 0 for f.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 25. Let v be g(14). Let x be ((-18)\/(-30))\/(v\/(-15)). Let j = -7 + 11. Solve 16 = -j*d, -3*k + x*d = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4)\/(n**4\/n))\/(n**0)**(1\/13) assuming n is positive.\nAnswer: n**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7605, 30551, 68821, 122415?\n\"Answer: 7662*a**2 - 40*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -66.3. Let m = -3 + 3.3. Let u be (2\/(-14))\/(4\/(-14)). Which is the closest to u? (a) m (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 9. Suppose 9 = i + 5. Let c(z) = -1. Let f(h) = i*c(h) + o(h). Let x be f(-8). Which is bigger: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -25*v + 689. Let g(r) = 4*r**2. What is l(g(z))?\nAnswer: -100*z**2 + 689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -32*h**3 - 8*h**2 + 127*h + 5. Let d(g) = 11*g**3 + 3*g**2 - 45*g - 2. Calculate 11*d(q) + 4*p(q).\nAnswer: -7*q**3 + q**2 + 13*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 154872770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6373 + -6845. Is -465 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -637\/2497 + -4\/227. Let o be 5 + 3 + 1 + -5. Suppose o*x + 8 = 4. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*1)\/(22 + (-506)\/22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6285.\nAnswer: 1\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 992229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 + 10*x - 10*x.\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102 + 115 - (-1 + -37)) + (14 - 1).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 10. Let d = -6 - s. Suppose 4*g - 2*y - 52 = 0, 4*g + g - 5*y - 55 = d. What is the remainder when 43 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/15)*(r*r**(-45))\/r*r*r**(22\/9)*r**(-2\/75) assuming r is positive.\nAnswer: r**(-9341\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06022 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -7*g**4\/24 + 9*g**2. Let d(s) = s**2. Calculate d(x(l)).\nAnswer: 49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 298\/9, 3, -1 in increasing order.\nAnswer: -1, 3, 298\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 529571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.641888389 rounded to 3 decimal places?\nAnswer: 0.642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -18*d - 2. Let k(h) = -8309*h + 6. Determine -3*g(r) - k(r).\nAnswer: 8363*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and 0.7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.83538238178 - -0.3.\nAnswer: -5.53538238178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5544036 divided by -36?\nAnswer: -154001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 7. Let h(g) = g - 2. Give -3*h(w) + y(w).\nAnswer: -4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -80, 1\/6, -1, 8, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 197\/859 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5230045673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 5:19 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**6\/z)\/z)\/z)\/(z*(z*(z*(z**(-8)\/z)\/z)\/z)\/z))\/((z*((z**(4\/11)\/z)\/z)\/z)\/(z*z\/(z*z\/(z*(z**(2\/3)\/z)\/z)))) assuming z is positive.\nAnswer: z**(439\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -15. Let a be 92\/20 - -2*1\/l. Sort -1, a, 1, -3 in descending order.\nAnswer: a, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21861 + -9361. Let q be (-4992)\/(-15)*u\/8. Round q to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Suppose u*c = 4*c + 13. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 24*i + 5*i + 0*i - 15*i + 40*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*c**2*l**2 + 9*c*l**2 - 2*c + 2*l**2 + 12527*l wrt c?\nAnswer: 20*c*l**2 + 9*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 18. Suppose 4*o = -2*w + 146, w = o - 6*o + 175. Calculate the remainder when o is divided by h(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/28 and (-78)\/(-16) - (0 + 2\/(-4)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1916991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**2 - 43*p - 51. Let w(y) = -3*y**2 + 14*y + 17. Let z(k) = 4*m(k) + 11*w(k). Let i be z(-17). Solve i*n = 4*n - 3*o - 2, n - 3*o = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 3}. Give prob of picking 2 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*m**2 + 2291*m**2 + 87*m**2.\nAnswer: 2629*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 + u**2 + 2. Let r be i(2). Let w(p) = -p**2 - 4*p - 11. Let s be w(-5). Let q = s - r. Calculate the remainder when 34 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4206355 (base 8) to base 13\nAnswer: 3017c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -57. Let a be (6\/t)\/((-5)\/10). Put -3, a, -1 in ascending order.\nAnswer: -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 723818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15569711021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 + 1562 = 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -8. Solve 2*q = 7*q - 4*o - 33, -i*q - 3*o = -19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 (base 12) in base 13?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 18. Let h = d + -5. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123 and 7.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -10 - (1 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1651900 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -652310 rounded to the nearest 10000?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134713?\nAnswer: 107, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 837 and 30051.\nAnswer: 931581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 832.08244 to 1 decimal place.\nAnswer: 832.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60214 is divided by 20056?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2*n + 10*n. Let d = n - -20. What is the greatest common divisor of 56 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*t - 86*t + 4*p = 432, 0 = -3*t + 5*p + 292. Which is smaller: 107 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l**2. Let o(n) = 2*n. Let m(p) = 15*p**2 - 8*p + 3. Let j(u) = -m(u) - 4*o(u). Let y(z) = -z**2 - 1. Let x(f) = j(f) - 3*y(f). Calculate x(r(h)).\nAnswer: -1452*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -261 + 78?\nAnswer: -1e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4703*u**2 + 1162*u**2 + 1161*u**2 + 1198*u**2 + 1178*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/10)*c\/(c**3\/c*c)*(c**0*c)\/c**(-2\/3)*(c*c**(1\/3))**(-30)\/((c\/(c*c**(-2))*c)\/(c*c\/c**(-7)*c)) assuming c is positive.\nAnswer: c**(-1003\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -17*w**2 + 51*w - 1. Let m be g(3). Sort 28, 1, -4, m in ascending order.\nAnswer: -4, m, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29066344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/((-240)\/72*(-5)\/(-75))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 9*r - 5*s - 30, -5*r + 9 = 2*s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 divided by -1.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**4 - 118*g**2 + 297*g - 2 wrt g.\nAnswer: 36*g**2 - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*c**3*s + 4*c**3 + 105*c**2*s**4 + 4*c + s**2 + 104 with respect to s.\nAnswer: 13*c**3 + 420*c**2*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.24560137798 + 1406.75439066702. Let m = f - 1413. Round m to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 390855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10\/43 (b) 4 (c) -5 (d) -4 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*10\/(7 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 13 = 2*c, 2*u - 24 = -c - 2*u. Suppose -2*s + 56 = 5*y, c*s - 106 = -2*y + 6. Let d = 47 - 32. What is the remainder when s is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1358*p + 1914*p - 631*p.\nAnswer: 2641*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:29 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:49 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 3564?\nAnswer: 24948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from {e: 5, m: 3, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 12*g + 11. Let o be p(-9). Let l be 2\/4 + 120\/o + 0. Do -4 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h - h - h)*(-27*h + 56*h + 100*h**2 - 27*h) as f*h + q*h**2 + c + i*h**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7031138 divided by 3515569\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2048)\/(-160) + (-92565)\/7225.\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83364 = -5*g + 4*c, 5*g = 2*c + 29745 + 53627. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(945\/(-14)) + (-3)\/(-20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.46.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/728973 and 23\/36410283.\nAnswer: 691795377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 214 + -115. Let i = -99 + d. Which is greater: i or 5\/21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 - (1 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13021*a - 1 + 16847*a + 1.\nAnswer: 3826*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**4\/12 - 3*u**3\/2 - 5*u**2\/2 - 9*u. Let c be v(-8). Solve -7 = s - c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -13\/3 (b) 0.052 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9618\/(-1832)*2\/49?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 2 - 6*u - u + 0*u**2. Let v be z(-7). Suppose 3*b = -2*s + 4*s - 2, -14 = -3*b - v*s. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**22*(k*k**(-32))\/k)\/((((k**(-4)\/k*k)\/k*k)\/k)\/k**(12\/7)) assuming k is positive.\nAnswer: k**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 206262.\nAnswer: 5156550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21002.146 - -21039. Let w = v + -37. Let q = w + 0.756. Round q to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90 - -77 - -19) + (1 - -18).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3728.57m to millimeters.\nAnswer: 3728570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 6358 = 18*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d**5 + 364*d**4 + 5704*d**3 + 14180*d**2 - 936*d - 9792 = 0. What is d?\nAnswer: -8, -3, -1, 3\/4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, b: 4}. Give prob of picking 1 b and 1 e.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 55.59. Let u = q - 0.01. Let r = -4 - 1. Which is the third biggest value? (a) r (b) -2\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213349*v**3 - 299222*v**2.\nAnswer: 1280094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (13 - (-1035)\/(-70)))\/((-42)\/(-833))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 + 113609*p**3 + 0*p**2 - 113344*p**3)*(2 - 2*p + 2*p + 5*p) as b*p**4 + i*p + l + s*p**3 + o*p**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 10 = 2*g, 17*x + 5*g - 1 = 21*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) - 68\/(-7). Calculate the greatest common factor of u and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*h - 219*h - 304*h - 8*h**3 + 747*h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(43\/(-1720))\/((16\/(-10))\/(-4))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Let o = 0.32 + 0.08. What is the nearest to 0.2 in o, g, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/20 and -27\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228256750, -228256749, -228256748, -228256747, -228256746, -228256745?\nAnswer: -228256744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15774 - -31?\nAnswer: 16025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m*v**2 + 274512*m + v**2 - 896*v + 54 wrt m.\nAnswer: 3*v**2 + 274512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 80 = -566. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventy-one quarters of a millisecond?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 25*d**2 - 43*d + 71. Calculate the least common multiple of 296 and o(-23).\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 3 - 3 + (-2*d - 2 + 2)*(-d + 1 - 1) + 109*d**2 + 447*d - 447*d)*(1 + 1 - 1).\nAnswer: 110*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54995*u - 1 - 54995*u - 8*u**3 + 1.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.05989 (b) 2\/97 (c) -1 (d) 3 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17441 is divided by 248?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*t - 5 + 4 + 1 + 4*t**5 wrt t?\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 10*h + 3*l - 103, l - 165 = 3*h. Let g be (h\/84)\/((-11)\/6 + 3). Which is the closest to 0.7? (a) -2\/3 (b) g (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483128860?\nAnswer: 2, 5, 24156443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + k - 3*k)*(k**2 - 1402 + 1402) as s*k**3 + o + g*k + i*k**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - (-885)\/105)*25\/125 + 6\/10. Suppose -12\/7 + s*l + 3\/7*l**2 = 0. Calculate l.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -720 - -722. Solve -2*y = -y + j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(475)*1 + 5.\nAnswer: 5 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*b + 2158, -t + 2328 = 2*b + 898. List the prime factors of b.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1600 and -123\/3200.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63583773 divided by -3903?\nAnswer: -16291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(900))\/(sqrt(5) - -3*sqrt(5)*-2))**2 - ((6*sqrt(10)\/sqrt(2)*2)**2 - (-2 + -4*(sqrt(5) - sqrt(20)\/sqrt(4)))).\nAnswer: -3466\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332003.\nAnswer: 7, 43, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 30*g - 217. Let h be u(6). Put -5, 135, -4, h in descending order.\nAnswer: 135, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 116 = 2*m, -1 - 4 = 5*m. What is the remainder when c is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 >= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*n - 14, 10*t + 4*n - 28 = 5*t. Let z = 5186109\/91 - 56989. Let o = -12\/13 + z. Which is the second smallest value? (a) -2\/9 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 3*x**4 + 0*x + (-x**4 - x**4 - x**4)*(94 - 41 - 48).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 - 9*s - 6 = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.2 - 7. Suppose -2*k = f + 17, 4*k - 3*f = 2*k - 13. Let p = k - -22\/3. Which is the biggest value? (a) i (b) 5\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -46. Suppose v + h - 1 = 0. Does 7 divide (v*2)\/(6\/105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 7*i**3 + i**3 - 3*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257, -1123, -2591, -4655, -7309, -10547, -14363, -18751?\nAnswer: -23705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-165)\/9)\/(2\/(-6)). Calculate the highest common divisor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2)*(2 + 3 - 3)*(-o**2 + 35*o - 35*o) in the form i*o**2 + v + j*o and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 37, 7, 3, -1\/2, -568.\nAnswer: -568, -5, -1\/2, 3, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/3 + (3 - 2). Let h(u) = -17. Let j(q) = q - 1. Let b(l) = m*j(l) + h(l). Is 7 a factor of b(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 99*q - 101*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 527 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 25, 5*g + 202*z - 206*z - 95 = 0 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Which is bigger: f or -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*c**2 + 0 + 0 - 55*c**2.\nAnswer: 43*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 448 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + w + 282 = 0, -5*w + 39 = 3*o - 119. Suppose 52*u + 7744 = o*u. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.086 + -16.514. Let s = -15 - z. Let i = -1.9 + s. What is the third biggest value in 1, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 832 + -201. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476a1 (base 11) in base 7?\nAnswer: 404226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -93315.45 to the nearest 100.\nAnswer: -93300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -478432 divided by -4\nAnswer: 119608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1274\/252 + -7. Let i(j) be the first derivative of -d*j**3 + 24 + 0*j + 1\/4*j**2. Factor i(r).\nAnswer: -r*(r - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:39 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 5634?\nAnswer: 5634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-12))\/((-4)\/(-12)). Let o = -1 + 0. Put o, -2, v in decreasing order.\nAnswer: v, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11030 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 31*t + 13 - 19 as s + q*t and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3504\/((-219)\/3) + 9.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/5 - 852202*z**2\/5 - 8*z\/5 + 3408808\/5 = 0.\nAnswer: -2, 2, 426101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.8. Let d = 3\/10 - 31\/20. Let i = -0.1 - 0. What is the closest to i in s, d, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 2, z: 3, n: 5, s: 1}. Give prob of sequence cnt.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/sqrt(3))**2 + -2)*-3 - 3*(-1*sqrt(133))\/sqrt(7).\nAnswer: -51 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. Let i = 13.5 - 11. Let r = i + -3. Which is the smallest value? (a) 1\/4 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 91899358.248 and 0.1.\nAnswer: 91899358.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 6*r + 4*r)*(1 + 4 - 2) + 0*r + 2*r - r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, -2, 0.5, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 9*q + 41. Let z be w(-12). Let r = -2 - -4. Suppose -2*h = -b - 21, -5*h + 39 = -2*h - 3*b. Solve r*p - 33 = -z*j, -p - p + h = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fohfohoohooof. What is prob of picking 1 o and 1 f?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from anlrene?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 5:53 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9445 + -0.4445. Which is the nearest to 25\/11? (a) -5 (b) -4 (c) 5\/2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 71. Let h be (-2100)\/130 + d\/(-26). Let t = -15 - h. Solve t = -k + 2*g + 2, 2*g = -5*k - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*y + 9426 - 418, 2*t - y = 18051. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -59 (b) -2 (c) -1\/4 (d) 25 (e) 2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 4*o + 9. Suppose -20 = -5*t + 5*i, -t = -6*t + 2*i + 8. Let v = t + 1. Solve v = c - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 31*p - 44. Let a be x(-22). Let t = -143 + a. Suppose 5*i - 5*g = 1370, -9 = 5*g + t. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(10 + -15 - 1\/1). What is the third biggest value in -5, -4, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**4\/24 + 15*o**2. Let k(s) = -8*s. Let r(n) = -10*g(n) + k(n). Let d(z) = -4*z**2. Calculate d(r(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(192)*2 - (sqrt(192) + 1 + sqrt(192) + sqrt(192) + 4 + 4)**2.\nAnswer: -1809 - 368*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 101*m - 9. Determine w(-1).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11)\/(7040\/(-4475)) + -7 and -47\/4.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3711*n**3 - 17*n + 16. Let g be t(16). Round g to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44\/17 + 3\/34. Calculate the common denominator of 32\/9 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:17 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/108)\/(-11 + (-3349)\/(-306)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {a: 2, g: 1, i: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 7*x = -28 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**2 - 14*n + 2. Let w(r) = -4*r**2 - 7*r + 1. Let c(z) = 3*a(z) - 5*w(z). Let q be c(-6). Solve -5*p - 3 - q = 5*l, p - 3*l - 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 557*c**3 + 21*c**2 - 7*c + 17. Let b(i) = -185*i**3 - 7*i**2 + 3*i - 6. Let h(q) = 17*b(q) + 6*y(q). Find the third derivative of h(t) wrt t.\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 1, u: 3, p: 3, r: 6}. What is prob of picking 1 u and 1 p?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 118450789 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: Four letters picked without replacement from vuvvvuvuvvuuvvvvunv. Give prob of picking 3 v and 1 n.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27653 + 27657. Sort 5, 0, 12, 7, x in increasing order.\nAnswer: 0, x, 5, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14569 and 225391.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/3 or -0.1?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 2*n. Suppose b = -5, 5*b - b = -4*j - 8. Suppose 5*z - 2*z - 1 = 2*s, 10 = -2*z + 4*s. Solve j*v = -z - n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 493*b**2\/2 - 4671*b + 36792.\nAnswer: (b - 511)*(b - 6)*(b + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(8\/12)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 41. Let l = 128 - 75. Let z = l + -15. Calculate the smallest common multiple of z and u.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -54, 0.06, 164, -0.1, 2, -5?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425293234?\nAnswer: 2, 4583, 46399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-1 + 3 - -3). Put 3, 5, h in decreasing order.\nAnswer: 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 18*f**2 - 15*f + 36. Let j be h(-17). Suppose j*a = -a. Suppose a = 2*g + g - 282. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*o + 114*o - 284*o.\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180960 by 1160.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 6*x + 25. Suppose 4*h - 8*h = 5*d - x, 0 = -5*h - d + 22. Solve 7*k - h = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 78 = 5*t - 52, -5*z + 4*t = -22 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.2 (c) 4.594 (d) -0.028 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t**4 + 0*t**2 + 4*t**2 - 3*t**3 + 0*t**2 + t**3 to c + d*t**3 + n*t**2 + q*t + k*t**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364 is divided by 670?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 163*n**3 - 30*n - 21 - 158*n**3 + 322*n**3 in the form g*n**2 + z*n**3 + f + u*n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -4, 2 in descending order.\nAnswer: 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1500.4 + 1500.7. Which is the nearest to t? (a) -2\/5 (b) -0.17 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 + (-14)\/3*66\/(-77) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = 5*y - 6*q - 20, 0 = 2*y + 3*q - 4. Let p = -6 + y. Let h = -16 + 19. Which is the closest to 0.4? (a) p (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 10:13 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254 + -245. Suppose 16 = t + 2*s - 19, -s - 45 = -2*t. What is the remainder when t is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2040 (base 5) to base 4\nAnswer: -10032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(153) - sqrt(153))*1 + sqrt(153))\/(sqrt(324)*2) + -1 + -1.\nAnswer: -2 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 42880.621 to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 0*i + 7*i)*(2 - 2 + 2)*(34*i**2 + 15*i**2 + 44*i**2) + 6*i**3 + 8*i**3 - 6*i**3 in the form p*i**3 + w*i + k*i**2 + t and give p.\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.409976 minus 0.15?\nAnswer: 2.259976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 1\/2*z**2 - 77 + 5*z. Calculate r(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*c = -10, -2*c + 31 + 13 = 2*f. What is the common denominator of 218\/(-12) + (-4)\/(-12) and (-4)\/f + (-6710)\/180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 575562 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(30)\/(sqrt(20)\/sqrt(4)))\/(6*2*sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25984 - 10380 = 23*x - 32696. What is the smallest common multiple of 300 and x?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 + 27*u**2 - 14*u + 16. Let v be y(13). Factor 0*r - 24\/11*r**4 + 14\/11*r**5 + 0 + 4\/11*r**2 + 6\/11*r**v.\nAnswer: 2*r**2*(r - 1)**2*(7*r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -46001*f - 10. Let i(n) = n**3 - 6*n**2 + 5*n + 2. Let v be i(4). Let p be k(v). Round p to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 5, -271.\nAnswer: -271, -3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5686 + -147775\/26. Is 3 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218 + 111 + 433*t + 427*t - 863*t + 104.\nAnswer: -3*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from {z: 3, i: 1, q: 1, t: 3, c: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 3*j - 2. Let p(c) = -c**2 + 22*c + 43. Let d be p(24). What is the remainder when b(-6) is divided by (3 - d) + -7 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 20*r**2 + 5*r - 23. Let c be (-22 - -28) + (-3)\/1. Let g(d) = -10*d**2 - 3*d + 11. Let o(a) = c*h(a) + 5*g(a). What is the derivative of o(k) wrt k?\nAnswer: 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**7\/210 - s**6\/120 - s**5\/60 + s**4\/24 - 3*s**2 + 4*s. Let m(n) be the first derivative of z(n). Factor m(i).\nAnswer: i*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**7*c)*c\/(c\/(c*c**(-7\/5)*c)))\/(c**(-1\/4))**(-36) assuming c is positive.\nAnswer: c**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51632773.406 + -4\nAnswer: 51632769.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 9 + -4 - (-1 + (-15 - -10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*r - 75 - 210, 0 = s - 5. Let b be 6\/((-270)\/r - 2\/13). Factor 3\/2*o**4 + b + 3\/2*o**5 - 3*o**2 + 3\/2*o - 3*o**3.\nAnswer: 3*(o - 1)**2*(o + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**6\/120 - j**5\/60 - 14*j**2. Factor r(v).\nAnswer: v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azazwggggww. Give prob of picking 1 w and 1 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**5\/4 + 516687*d**4\/4 + 14832361359*d**3\/2 + 141965464268253*d**2 + 1560722921005182*d = 0.\nAnswer: -57406, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -558734078 take away 2.886?\nAnswer: -558734080.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 1 = -c, 5*c + 2*s = -5 + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15)*s\/s**(3\/8)*s)**3 assuming s is positive.\nAnswer: s**(179\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 212245 and 935?\nAnswer: 212245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -964.\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 5:03 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1127160 divided by 140895\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(-16)*u))**(2\/61))**(2\/131) assuming u is positive.\nAnswer: u**(68\/7991)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 + 5*v - 77*v**3 + 152*v**3 - 74*v**3 + 2 + 5*v**2 to the form t*v**2 + n*v**3 + r + b*v and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1100\/(-900)*9\/(-4)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 12) to base 16.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 35*g + 4. Let v be w(0). Put 1, v, -0.07, 2\/3, 5 in increasing order.\nAnswer: -0.07, 2\/3, 1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 58812.\nAnswer: 117624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1384*d**3*i**6 + 2219*d**3 + 3*d**2 - 3*d*i**2 wrt i.\nAnswer: 166080*d**3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - 32\/(-12). Factor 0 - 2\/5*x**4 + 0*x + 0*x**3 + 2\/5*x**k.\nAnswer: -2*x**2*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -22. Solve t*n + 2 = 3*q + 3*n, -5*q = 5*n + 30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**6\/20 + 5*k**4\/12 + 5*k**3\/3 + 31*k**2. Let o(j) = 2*j**3 + 3*j + 3. Determine 10*o(g) - 3*r(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1015, -966, -923, -886, -855?\n\"Answer: -3*n**2 + 58*n - 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*93410174.\nAnswer: 37364069.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -48*l - 56. Let p(h) = 19*h + 22. Let o(v) = -5*a(v) - 12*p(v). What are the prime factors of o(24)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9485 divided by 5\nAnswer: -1897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*b - 3*b + 4*b)*(47*b**2 - 3*b**2 + 6*b**2 + (-5*b + 0*b + 3*b)*(3*b - 3*b - 2*b)) to the form l*b**3 + x*b + n + t*b**2 and give l.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-15)\/(-3) + -6). Let g(k) = -k - 1. Let y(z) = 4*z - 3. Let s(r) = -9*r + 7. Let d(i) = -2*s(i) - 5*y(i). Determine l*d(x) - g(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) -3 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2146793*i*s**3 + 143*i*s - 395*i - 2*s - 1 wrt s?\nAnswer: 12880758*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3 + 1337*x**2 - 465648*x + 12403764 = 0. What is x?\nAnswer: 29, 654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 + 6*r + 4. Let c be k(4). Suppose 0 = j + d - c, 5*d - 5 = -3*j + 35. What is the highest common divisor of 40 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48959\/21756 + 2\/5439. Which is the closest to -1? (a) 0 (b) -3 (c) z (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6766 and 27064?\nAnswer: 27064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -335 + 342. Solve -y*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 12000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -221361*g**3 + 222643*g?\nAnswer: -1328166*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w - 0*w. Solve 5*o = 5*t - 10, -t - 2*t + o = w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 166\/18 - (-4)\/(-18). Let g(w) = -w**2 + 10*w - 5. Let o be g(a). Suppose 132 = -0*x + o*x. Calculate the highest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, j: 2}. What is prob of picking 3 y?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 5*q + 7. Let l be i(-2). Let c be 5\/l*1*3. Solve -c*s + 4*s + 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 11:23 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 127\/254 - (-2)\/(-4). Suppose 3*w = 6*w - 51. Suppose 2*b = -0*b + 6. Solve k = 4*a - b - w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 27*q**3 + q**2 + 2. Let c(i) = 26*i**3 + i**2 + 2. Calculate -6*c(t) + 5*l(t).\nAnswer: -21*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 4 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -2 in decreasing order.\nAnswer: 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) 4 (c) -4\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3183743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 500550.210684 and -0.08.\nAnswer: 500550.130684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-2 + 2 + l)*(-3 + 3 + 1)*(1 + 4 - 4).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 56 = -4*c, c + 8 = 7*j - 2*j. Is (c - 3)\/3 + (21 - -2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 3, d: 1, y: 2}. What is prob of picking 1 z and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2860390207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9705242, -38820986, -87347224, -155283950, -242631158, -349388842, -475556996, -621135614?\n\"Answer: j**3 - 9705253*j**2 + 8*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/9*(-397 - -1). Suppose -7*n + 6*n - 5*w + j = 0, -5*w - 1228 = -3*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*m**5\/9 - 50*m**4 + 16*m**3 + 1096*m**2\/9 + 160*m\/3 = 0. What is m?\nAnswer: -1, -6\/11, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157143 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 147*m**3 + 98*m wrt m?\nAnswer: 882*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 909756780 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -1\/5 (c) 0 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 5*u - 6. Let i(c) = -2*c**2 + 4*c + 7. Determine 5*i(n) + 4*z(n).\nAnswer: -2*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from omwoowowymwomww?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27408 - -62659. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/6 and 129\/8680.\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/408*3 - ((-1243)\/17 - -1). Solve 110 = -l*i + 50*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.0427322 + -0.14?\nAnswer: 156.9027322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 231060.7 litres?\nAnswer: 231060700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 581644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -26. Suppose 41261 = 151*k + 11363. Calculate the lowest common multiple of s and k.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwp when three letters picked without replacement from {s: 1, p: 2, w: 4, u: 1, y: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89112474 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 - 0.1. What is the third smallest value in 3, w, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/16)\/1 - 7\/4. Suppose -3*s + 62 = 4*t, s + 4*s + 3*t - 96 = 0. What is the remainder when o + (-2 - 4)*22\/(-3) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -42, -57, -72, -87, -102?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3. Let c = -14 - -18. Let n = c - 1. Let i(b) = 6*b**3 + 2*b**2 - b. Determine n*s(r) - i(r).\nAnswer: -3*r**3 - 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**3*y*z**3 + 6*l**3*y*z**2 + 565*l**3*z**2 - 36*l**3*z + 755*l*y*z**3 - 6*l*y*z**2 - y*z**2 + 2*y*z - 1486*z**3 wrt z.\nAnswer: 12*l**3*y + 4530*l*y - 8916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 + -24 + -38 - -45) + 13?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, v: 1, w: 1, a: 7, h: 3}. Give prob of picking 3 h and 1 a.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 5 (c) -0.3 (d) -2\/3 (e) 3814\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l. Let m be 0\/(-1 - (4 - 3)). Suppose -3*x + 6*x - 6 = 0. Solve m*h - x*h = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/2144805 and 26\/3825?\nAnswer: 32172075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/5 + 2978*d**3\/5 - 87466*d**2\/5 - 108338*d\/5 + 542748\/5 = 0.\nAnswer: -3, 2, 31, 1459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1700)*-1 + 3*sqrt(153) + sqrt(153))**2*5.\nAnswer: -60*sqrt(17) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r - 4. Determine p(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3759 is divided by 1178.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 10*j**2 + 4*j - 15. Let x be c(10). Suppose x*g + 19 = -31. Sort 43, -3, g.\nAnswer: -3, g, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.9 + 8.9. Let f = -0.2 + 0.3. Let g = -0.1 + f. Is g > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127580 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31aaa89 + a3?\nAnswer: 3200081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071 is divided by 245.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -7 - -2) + (2 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 4585*s**2 + 4*s**3 + 1452*s**2.\nAnswer: 8*s**3 - 3133*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzo when three letters picked without replacement from {z: 5, o: 13}.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/4*o**5 + 0*o + 0 + 60*o**3 + 48*o**2 + 21*o**4 = 0. What is o?\nAnswer: -4, -4\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**5 + 8604*u**4\/7 - 6268200*u**3\/7 + 144797120*u**2\/7 - 829642368*u\/7 - 249007104\/7 = 0. Calculate u.\nAnswer: -659, -2\/7, 12, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 8, -2\/9, 8\/39, 2\/17.\nAnswer: -2\/9, 0.01, 2\/17, 8\/39, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2722.7 - -2722. What is the nearest to -9 in -1, 3, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 13, j: 3}. What is prob of picking 2 r and 1 j?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137079 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.148, -2707, 2\/3?\nAnswer: -2707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4*d + 7*d + 27*d + 1 + 3*d to the form q + t*d and give t.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (15\/4)\/(1\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -63, 16, -4, -2 in decreasing order.\nAnswer: 16, 3, -2, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 1:54 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362291608 and 1714?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*h, -h = -4*r + 7*r - 380. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -33*c**2 - 44. Let d(k) = -64*k**2 - k - 89. Let u(h) = 2*d(h) - 5*j(h). Differentiate u(o) with respect to o.\nAnswer: 74*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 13) to base 7.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-42))\/(-6)*(14\/2)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214 + -213.9368. What is y rounded to 3 decimal places?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -16*b + 5. Let z be j(-2). Let x = -32 + z. Suppose -2*w + 8 = -2, 2*n + 2*w = 18. Solve -3 - 9 = 2*p + n*i, 45 = 5*p - x*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -114. Suppose -3*f + 0*f + 8 = t, 2*f + 13 = d*t. Sort -10, 3, f in decreasing order.\nAnswer: 3, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 697*x**3 - 162168*x**2 + 12648640*x - 12487168.\nAnswer: -(x - 232)**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwuepuwjuuueuwjwupuy. What is prob of picking 2 e?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 7:13 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/64 and 13\/5648?\nAnswer: 22592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2*-8*-14*649\/13216\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeh when four letters picked without replacement from ayaeehaeae?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 2:24 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 6*f**2 - 2*f - 1. Is b(-5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6905465.714 rounded to the nearest one thousand?\nAnswer: 6905000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 18 = 4*f - 8*f, 4*f = -4*s + 12. Suppose -2*b + 3*b + s*q = 10, -4*b + 40 = q. Calculate the remainder when 67 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 15541\/35275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3, 5, 2 in ascending order.\nAnswer: -1, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -113265 (base 7) to base 2\nAnswer: -100111110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/10? (a) 2\/5 (b) -1\/305 (c) 0.1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122200211 + -11?\nAnswer: -122200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/((-5)\/60). Let s be 2 - (v\/(-1))\/1. Let h(b) = b - 54. Let j(d) = -4*d + 233. Let y(g) = 13*h(g) + 3*j(g). Determine y(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(363) + (-1*sqrt(363))**2 + 1 + -3 + 4 + -5.\nAnswer: 11*sqrt(3) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4966 (base 10) to base 16.\nAnswer: -1366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 7.7. Let j = 0.3 + 2.7. Let o = j + q. Which is the closest to 0? (a) o (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17322842*k**2*t - 2580265*k**2 with respect to t.\nAnswer: -17322842*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -238 + 242. Find the third derivative of -20*a**4 - 67*a**m - 11*a**4 - 41*a**2 - 70*a**2 wrt a.\nAnswer: -2352*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -0.046.\nAnswer: 0.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 13*j - 6. Let m(x) = 3*x + 9. Let b be m(-8). Calculate the remainder when 93 is divided by w(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3130011 - -0.946?\nAnswer: -3130010.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -509 + 5. Suppose 35*k - 37*k = -b. Solve 0 = -4*r + 2*h + k, 0*r = 4*r + 3*h - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1560 - -1554. Sort 5, -13, m in descending order.\nAnswer: 5, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7203872750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-1 - (-12 + (2 - 9 - -5))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158385533.\nAnswer: 158385533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -2\/43 (c) 3\/8 (d) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 300\/36 + (-2)\/(-3). Let z = s - 0. Let j be (0\/z)\/(1 + 0). Solve j = -2*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450983.2 rounded to the nearest 1000?\nAnswer: -451000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 62*k**2 - 220*k + 89. Calculate a(1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 5*i + 5, -9*i + 5*i = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 86*r**2 - 329*r - 44. Determine n(-82).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 251322 - 37698463\/150. Let x = 417137\/22 - 18958. What is the common denominator of x and h?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 8*l**2 + 14*l + 12. Give c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 32*t**2 + 47*t - 1. Calculate v(16).\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 272 times -0.026\nAnswer: -7.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10225 - -10224.99994759. Round i to 6 decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*p + 59*p - 19*p - 74 - 3*p**2 - 601 = 0. Calculate p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - i + 11. Let d(q) = -q - 2*q**2 + 4*q**2 + 17 + 0*q**2. Let s(y) = -5*d(y) + 8*x(y). Determine s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19050 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 11*d**2 + d + 2. What is k(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 37. Let h(j) = -5*j + 37. Determine 2*h(x) + 3*n(x).\nAnswer: -4*x - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7.2. Which is the biggest value? (a) q (b) 3\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, -3795, -14178, -34395, -67722, -117435, -186810, -279123?\nAnswer: -397650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 19 - 55 + 2*x**3 + 16 - 16*x - x**4 to i*x**2 + g*x**4 + f*x + k + q*x**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h - 65. What is the units digit of f(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26724 is divided by 4702?\nAnswer: 3214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1961*0.19799\nAnswer: 388.25839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978476.\nAnswer: 2, 244619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**4 + 50212*m**3 - 175*m**2 - 978?\nAnswer: -72*m + 301272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 7:43 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*(-22)\/(-5280)*-16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -4. Suppose -k*b + 250 = -122. List the prime factors of b.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*b**2 - 120*b**2 + 25*b - 2*b**3 + (2*b + 0*b - b)*(3*b - 3*b - 2*b**2) - 2*b**3 + 5*b - 5*b to i*b + w + r*b**3 + k*b**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -5612?\nAnswer: -5612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwoaowwwoaaaaaoaawaa. What is prob of sequence woa?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/8)*(((c*c**(-2))\/c*c)\/c)\/c)**(-3)\/(((c*c**(2\/7))\/c**(-3))\/(c**(-2\/9)\/(((c**5*c)\/c)\/c))) assuming c is positive.\nAnswer: c**(59\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 4*v**2 - 6*v**2)*(-5 + 5 + 5*v)*(v - 3*v + 4*v).\nAnswer: -60*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44\/31 or 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -981.6312049 rounded to the nearest integer?\nAnswer: -982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -31, -18 in increasing order.\nAnswer: -31, -18, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -0.4, 2100.09, 2.\nAnswer: -19, -0.4, 2, 2100.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, t: 1, c: 4, p: 5}. Give prob of picking 2 c and 2 p.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(315)*2)\/sqrt(7))**2 + (-1*3*1*sqrt(320))**2.\nAnswer: 3063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 + p**2)*(-4*p**2 + p + 3*p**2 + 11*p**2).\nAnswer: 10*p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - s + 5*s + 136, y - 5*s = 22. Let c = 9 - 7. What is the second derivative of 24*q**2 - y*q**c + q + 6*q wrt q?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t - 3*t + 0*t - 2 + 1. Let o = -22 + 28. Calculate the remainder when x(-3) is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 - ((-2 - 0) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/10440 and -71\/10008?\nAnswer: 1451160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.3, -7, -247?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1100176 and -9\/14.\nAnswer: 1100176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 1980?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -40*u**3 + u + 1. Let f be k(-1). Suppose 5*l - p - f = 0, 8 = l + 3*p - 0. Suppose -5*n + 32 + l = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**3 + 2*t**2 - 1. Let w be f(-1). Suppose 0 = 4*b + b - w. Let x = 6 - b. Solve 5*y - 33 = 4*u + 3, 0 = x*y - u - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1051 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -85 (c) -3 (d) 0.3 (e) 3\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 4. Let i be z(4). Suppose -5*w = -x + 17, -2 = -2*x - w + 3*w. Is x smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 less than or equal to -2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/57541 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288 + 181. Let f = -128 + q. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 21991723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*s + 4 - 2, 4*k - 4*s - 48 = 0. Let j = -922 - -2754. Let i be 8\/36 + j\/18. What is the greatest common factor of k and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -143.57, 0.2, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-113066)\/72 - 2) + 0. Let k = 4567\/9 + s. Let r = 1071 + k. Find the common denominator of 63\/8 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 88*z + 84*z + 4608, 0 = 3*f - z - 3484. Calculate the remainder when f is divided by 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 42251?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 70794*m + 35398.\nAnswer: -2*(m - 17699)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 8708*c + 2766210.\nAnswer: 2*(c + 345)*(c + 4009)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42)\/320*((-2142)\/68 + 34). What is the second biggest value in 5, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 3*q - 276. Suppose 0 = q*y - 113 - 347. What is the remainder when 112 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 - 8 = 0. Suppose -b = -3*p + k, 0*p + 2 = 2*p + 2*b. Suppose 5*u = p + 7. Solve 32 = -4*a + 2*w + u*w, 2 = -4*a - 2*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.3, -758, 1\/6, 2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50.2 - 50. Let i be (-4 + (-87)\/(-21))\/1. What is the second smallest value in 5\/2, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 19*p + 21. Give m(-9).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 7. Let i(q) = -o*q**2 + 5*q**2 + 6*q**2. Let x(p) = p - 1. Let g(l) = -6*l + 7. Let h(c) = 2*g(c) + 14*x(c). What is i(h(k))?\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4*u - 0*u - 30, 3*r - 18 = -4*u. Let n(p) be the first derivative of p**4\/4 - 2*p**3 - p**2 + 7*p + 23. What is n(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.519 - 0.019. Let j = 9.333 - t. Round j to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -36*d**3 + 2*d**2 - 2*d + 1. Let n be y(1). Let k = n - -38. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736765.4 days to hours.\nAnswer: 17682369.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1298)\/2541 + -10*(-12)\/210\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -392703, -1 in ascending order.\nAnswer: -392703, -10, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26349093\/560 - -47052. Find the common denominator of -73\/56 and d.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3094677 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q - 3*q - 3*q + (-3 + 1 + 0)*(52 - 52 - 5*q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -8*a + 990. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(612) + -5 + sqrt(17) + sqrt(272) - (3 + -4*sqrt(85)\/sqrt(5)))**2.\nAnswer: -240*sqrt(17) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = h - 3*h - 25*u, -4*h + 29*h - 11*h = 13*h - u - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7192 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*v**(-5))**(-26)*(v**5*v**(3\/5))\/(v\/v**(-1\/4))**(3\/8) assuming v is positive.\nAnswer: v**(19957\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + h - 4*h**2 + h**3 - 2*h**3. Suppose -3*q - 2*f = 8, 8*q = 5*q - 4*f - 4. Let o be l(q). Calculate the greatest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 3 - (0 - -8) - (-1 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003320593 to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = -39*d + 42*d, 5*m + 22 = 3*d. Sort 160, -1, d, -6.\nAnswer: -6, -1, d, 160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 (base 12) in base 14?\nAnswer: 1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 21 (c) 1\/6 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 3390192*m + 6780368.\nAnswer: 4*(m - 847546)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + sqrt(32)\/sqrt(4)) - 4*(sqrt(2) + 3*sqrt(2)*2 + (sqrt(8)\/sqrt(4) + -2)**2).\nAnswer: -49 - 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 5*i - i)*(5*i**2 + 5*i**2 - 14*i**2)*(-6 - 3*i + 6).\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4588 + -3865. 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 -1639.50578 rounded to the nearest ten?\nAnswer: -1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 - -87. Suppose -6 = 7*l - 6*l - 5*z, x*z = 3*l + 7. Sort 2\/5, l, 1 in decreasing order.\nAnswer: 1, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + 6*sqrt(18)\/(sqrt(12)\/sqrt(2))) + 4*(5*sqrt(96))\/(sqrt(88)\/sqrt(11)))**2.\nAnswer: 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ggqggq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -15. Let i(w) be the second derivative of 0 + 0*w**3 - 2\/3*w**4 + w - w**2. Let t(v) = 7*v**2 + 2. Give h*i(d) + 6*t(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5)*5\/(-4). Suppose 31 = -19*g - 140. Which is greater: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.011 - -2.011. Put -3\/13, 5, t in decreasing order.\nAnswer: 5, t, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from qeqnqqed?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**7\/315 + t**6\/45 - t**5\/90 - t**4\/9 + 125*t**2 + 1. Suppose x(w) = 0. What is w?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 173 - 167. Calculate the lowest common multiple of 255 and a.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -793639700 to the nearest 1000000.\nAnswer: -794000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)*a*a*a**(-3\/7)*a*(a\/(a*a\/(a*a**(2\/9)*a)*a))\/a*(a**(1\/10)\/a)\/a)\/((a**(-1\/4))**(1\/23))**(3\/4) assuming a is positive.\nAnswer: a**(-11383\/115920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 18. Let x = q - -149\/5. Which is the second smallest value? (a) 0.2 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5423395*k - 63625. Let a(w) = 2557*w + 30. Calculate 12725*a(f) + 6*b(f).\nAnswer: -2545*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/30 + (-1)\/6. Suppose 0 = 5*n - t, h = -2*n + 7*n + 4*t. Suppose n = -m + 15 - 57. What is m rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-5))\/s**(-4))\/(s**(1\/4)*s**(5\/6)\/s)*((s\/(s\/(s*(s\/s**(-9))\/s)))\/s*s*s**(-2\/15))**(-31) assuming s is positive.\nAnswer: s**(-5919\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19597 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let d = -16 + 22. Let r(x) = 0*x**2 + x**2 - d*x - 5 + 5*x. Determine r(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 3*t + 12. Let b be x(5). Suppose 0*y + 2 = 2*m - 2*y, -1 = 2*m - 5*y. Suppose 2*u - 4*r = 310, m*u - r - 295 = -b*r. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 2*d**2 - 4*d + 4. Let x be y(2). Does 2 divide 3\/(-6)*1*x*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 84*y - 132. Let z be u(19). Suppose -1549 = -4*o + 3*t, 5*o + 5*t = 446 + z. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330464170 to the power of 1\/2, to the nearest integer?\nAnswer: 57710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 1 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 (base 9) in base 7?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 12. Let i be (2 + 0)*15\/2. Let u = -10 + i. Solve 1 = -k*h - u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1\/2 - (-70)\/(-28))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3497199*z - 3497200*z - 49 = 11*c, 0 = -5*c + 3*z - 43 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25717.14 rounded to the nearest 100?\nAnswer: 25700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/2, -1, -9, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 137 + 136 - 1476*n**2 + 1809*n**2 in the form u*n + p*n**2 + o and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*(r**(1\/3)*r*r)\/r)*r*r**(-1\/3)*r)**3\/(((r\/r**(2\/11))\/((r**(-1\/4)\/r*r)\/r))\/(r*r**2*r*r\/(r**2*r)*r)) assuming r is positive.\nAnswer: r**(217\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(-11*a**2 - 14*a**2 + 2*a**2).\nAnswer: -92*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 64. Let b be m(24). Is 5524\/10*(-100)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 13*r + 103. Let y = r + 32. What is the greatest common divisor of 60 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442096?\nAnswer: 2, 27631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 70 - 115 = 0. Let w be 2 + -93*(-5)\/m. What is the highest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6232.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5543 - 0.0478. Let f = k - -0.1425. Round f to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208549*y**2 - 320840*y wrt y?\nAnswer: -417098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 64. Let r = -99 + o. Let w = -68.3 - r. What is w rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:11 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*1 - 26\/13)\/2. Suppose -4*h + 1 = -7. Let n(o) = -4 + o**2 + o**3 - 2 - h. Give n(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*w + 5*o + 17, 3*w + 5*o - 10 = 0. Suppose w = -2*a - 5*q + 292, -40*q + 45*q = 2*a - 272. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 452979568 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 + -0.27. Let g = -34.8 + 28.8. Let t = 2.95 - -0.05. What is the nearest to -1 in t, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1086316*s**5 - 806512*s**2 wrt s.\nAnswer: -65178960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 13*r**2 - 105*r - 17. Calculate h(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(1 + 2\/(-4)). Let o = 1 + -1. Suppose j*g - 5*b - 2 = -16, 3*b - 12 = o. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44*4.93\nAnswer: 216.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 4:25 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1094547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifji when four letters picked without replacement from kacjfcii.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1909189, -1909185, -1909187, -1909195?\n\"Answer: -3*c**2 + 13*c - 1909199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3\/2 + 3283*q**2\/2 - 983*q - 656 = 0. What is q?\nAnswer: -2\/5, 1, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 24 = 3*j, -4*j - 2*p - 3*p + 63 = 0. Suppose 46*l - 2688 = 44*l. Suppose 22*d - 6*d = l. Calculate the highest common factor of d and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v - 145 = 72 - 61. Factor 4\/7 - p + 36\/7*p**3 - 20\/7*p**v.\nAnswer: (2*p - 1)**2*(9*p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-63)\/14)\/(9\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-4))\/(-15*7\/84). Suppose 0 = -s*q - 3*o + 107 + 134, 3 = -o. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -35*d - 9 + 5 + 22*d. Let r be y(-2). Let z(m) = -5*m**2 - 11. Let a(x) = x**2 + 2. What is r*a(l) + 4*z(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*76\/(-171)*9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 21 + 27 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + k + 35. Let t be s(0). Suppose 5*a - t - 55 = 0. Let d(z) = 27*z. Let i be d(1). What is the highest common factor of i and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 525 divide 9730875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*r**3 - r**4 + 0*r**2 + 1 + 3*r**2 + 11*r**3 - 10*r**3 in the form y*r**4 + u*r + l*r**3 + n*r**2 + d and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2349350 is divided by 83.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110430 (base 5) in base 13?\nAnswer: -8b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94850, -188416, -281980, -375542?\n\"Answer: g**2 - 93569*g - 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 - 4. Let m(r) = -8*r**2 - 11. Suppose -3*p + 4 = -7*p. Let z = -10 + p. Determine z*l(t) + 4*m(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2744 = 9*m. Let c = m - 122. Suppose -s = 2*h - 277, 5*h - 614 - c = -4*s. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*m**4 + 2*m - 28*m**2 - 28*m**4 - 5 - 29*m**4 - 245*m**5 + 53*m**2 wrt m?\nAnswer: -14700*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 220262247*s**3 - 562288818.\nAnswer: 660786741*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 462\/330 + 16\/(-15)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 16. Let o = -9 - -13. Let h be ((-12)\/(-7))\/(o\/y). Solve 4*q = p + 1, 0 = 3*q - 7*p + 2*p + h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 4*(-44)\/8. What is the derivative of 78*r - 41*r + t*r**2 - 3 - 37*r wrt r?\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 + 393 - 124 - 2651*n - 115.\nAnswer: -2651*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28991 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 + 205. Let a = 126 - q. Suppose 4*d = 5*d - 126. Calculate the greatest common divisor of d and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -582*a*o**3 - 185*a + 2*o**3 - o**2 wrt o?\nAnswer: -3492*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10*k - 1 - 2 - 2*k.\nAnswer: -12*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*i = h - 3388, 0 = h + 5*i - 3379. Is h a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) -3 (c) 9\/2 (d) 0.1 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10*p - 66. Let i be o(7). Solve i = -n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048 - -507630?\nAnswer: 507629.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -16*u**2 + 22*u + 11. Let a(b) = -5*b**2 + 7*b + 4. Suppose -2*m = m - 12. Let d(v) = m*t(v) - 11*a(v). What is the second derivative of d(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 22*p**2 - 4*p + 90. Let f be l(22). Let t(j) be the second derivative of 0 + 1\/6*j**3 - 13*j - 9\/2*j**f - 1\/12*j**4. Calculate t(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3165\/4828?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14242474.\nAnswer: 2, 23, 269, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -13 + 22. Suppose -2*x - 3*x - k*g = -6260, 0 = -5*x - 2*g + 6260. What are the prime factors of x?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(3\/2)\/(i\/(i*i**1)))**(20\/7))**45)**13 assuming i is positive.\nAnswer: i**(29250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f + 100. Calculate the highest common factor of 60 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4294 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*v - 15*v - 33*v + 3*v to the form u + p*v and give p.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -121233202?\nAnswer: 121233113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -37\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2. Let p(b) = 116*b + 127*b + 58*b + 69*b - 269*b. What is m(p(v))?\nAnswer: 51005*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 0.5, -6, 0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 3*p**4 - p**4 + (1 + 3 - 3)*(2*p**4 + p**4 - 2*p**4) - 17*p**3 + 17*p**3 - 3*p**2 - p**4 - 4*p**4 + 4*p**4 + p**4.\nAnswer: 2*p**4 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3031?\nAnswer: 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100789812 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15687843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(105\/12)*(-1 + 11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30439777 is divided by 980.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 14820*v**3 + 18273036*v**2 - 73270080*v + 73329408 = 0. What is v?\nAnswer: -2472, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqnqnqnxnnqxqqqqqn?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.3, 2\/3, 1, 0.1, 1\/558483?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/34 and -91\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/p*p)\/p**(-3\/5)*(p\/p**(1\/2))**(-1\/40))**23 assuming p is positive.\nAnswer: p**(4761\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12112523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0 - 1\/3*u**3 - 2*u + 0*u**2. Let z(l) = 4 - 4 - l. Give z(o(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/3 + 14066932*f\/9 + 3125984\/3 = 0. What is f?\nAnswer: -2344488, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjk when three letters picked without replacement from wkwgfjjwgjwwwggwk.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 303581\/20 + -15176. Find the common denominator of y and 5\/124.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/253)\/(56\/7392)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -202 (b) 6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1753 or 9138?\nAnswer: -1753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(3419\/312 - 11). What is the highest common divisor of a and 544?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p**2 + 0*p - 2*p - p**2 + 2*p**4 to k*p + v*p**2 + m*p**4 + b + l*p**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -14*s - 1. Let y be k(-4). Suppose 5*d + 61 = 2*h, -4*d + y = 5*h - 114. Let a = -20 + h. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3994 + 7991. Let v = -2197 + r. Round v to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5311, -3441, -1571, 299?\n\"Answer: 1870*z - 7181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185676035?\nAnswer: 5, 37135207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4323437288 to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34694 <= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((1 + 3)\/16). Suppose 2*z = v*z. Which is bigger: -4\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 1083886805*i - 1083886810.\nAnswer: 5*(i - 1)*(i + 216777362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147596 is divided by 36892.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(-43 - 27 + 23)*(-4*t + 6*t - t) in the form q*t + o and give q.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let z(o) = -79*o - 283621. Calculate q(z(d)).\nAnswer: -79*d - 283621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 7:05 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1740a1c (base 13) to base 4.\nAnswer: -130301100323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*p + 11, 4*p + 82*s - 123*s = 152 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*3\/18*-3. Does 26 divide 45\/1 - 6\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 20 = 0. Suppose -j*t + 8*t - 4 = 0. Let p be t\/2 - (-7)\/(-6). Which is the closest to p? (a) -1\/4 (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4517917 to the power of 1\/2, to the nearest integer?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 689\/(-2014)*52\/(-169)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.65 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 - 10*a**2 - 2*a**2)*(3 - 2 - 2) + (a**2 - 5*a**2 + 5*a**2)*(2 + 2 - 5).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**2 - 65712*t - 525504 = 0.\nAnswer: -21896, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 1. Let w = 51 - 52. What is h(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3687 - -3879. What is the lowest common multiple of x and 176?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*v - 29 = -w, 0 = -3*v - 15. Suppose b - 5*b = 2*x - 96, 3*b = -w*x + 97. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 37*z + 29*z + 31*z - 98*z + 3. What is h(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 328674317?\nAnswer: 328674321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*n + 1713*n + 22470 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 33) + 35 - -12?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(510\/(-45)))\/((-4)\/40).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*4 + sqrt(20))\/sqrt(4) + -2.\nAnswer: -2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 2*s + 11, b = 4*s - 0*s + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 3*n + 4. Let c be i(5). Let u = -39 + 34. Is c smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, -0.2, 1039, 4, 3\/2, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 79. Let b be (-2)\/3*732\/o + 1. Suppose 4*d + b = -3*w + 5*w, 4*w = -d + 79. Calculate the highest common factor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 106\nAnswer: -3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*o - 177902, 4*p - 175226 = -2*o - 56622. Round o to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 659\/15 and 45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8540529.7 and 138742.\nAnswer: -8401787.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40553572 divided by -1028.\nAnswer: 39449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m + 17*m + 2 - 5*m - 2*m. Suppose 3*g + 2*x = 85, 145 = -2*g + 7*g + 5*x. Let n(r) = -12*r - 27. Determine g*d(c) + 2*n(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h + 13970 - 14024 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12792207148850\/789 - 16213192654. Let y = w - -160\/263. Let o = y - -2330. What is the common denominator of o and -44\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28519 and 1083.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + n - 2)*(3969 - 2012 + 1626) - n - 4*n + 2*n + n - 2*n + 0*n to the form c + f*n and give f.\nAnswer: 3579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4163 = -9*r + 4190. Let v = 0 - -2. Solve -w = -r*w - v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j = -123 + 435. Let q(k) = -k**2 - 13*k - 17. Determine q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -7. Let u be -3*(1\/(-6))\/((-3)\/(-12)). Calculate the greatest common factor of u and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let d(i) = -i**2 + 8*i - 8. Let h be d(6). Suppose -3*p - 5*a = -f, 0 = 3*p - 0*p + 2*a - h. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79531 <= -12141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 6*t**2 + 9*t + 11. Let l be n(-7). Let m be 36\/24*(68\/12 + l). Solve -x = h - 2*x + 2, -2*x = h - m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -160, -378, -704, -1150, -1728, -2450, -3328?\n\"Answer: -2*l**3 - 36*l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -174?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {z: 5, c: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -56. Suppose 0 = -3*d + 5 - 11, 0 = -4*a + k*d + 4. Let r be -3 - -5 - (a + (-19)\/(-7)). Is r > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.3 times -28413.5\nAnswer: -321072.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**5\/7 - 2762*q**4\/7 - 21584*q**3\/7 + 525440*q**2\/7 - 2457856*q\/7 + 3514880\/7 = 0?\nAnswer: -1373, -20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/30)\/(3\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 2)*1 - -2290. Let h = z - 418. Suppose -4*o - h - 4567 = 0. What is o rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/101, 3, -0.5?\nAnswer: -6\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - (-42 + 84 + 33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + (18 - -2) + 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*u**3\/11 - 135104*u**2\/11 + 325967350*u\/11 - 93122500\/11.\nAnswer: 2*(u - 4825)**2*(7*u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*r = -23, 4*y - 98*r + 94*r - 20 = 0. Let c(x) = 42*x + 18. Determine c(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 223 or 222?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22\/(-4))\/(3\/(-420)*-5). Let t = 467 + i. Does 53 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.48.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -64. Let u(p) = p + 25. Let n be u(s). Suppose -45 = -n*t + 10*t. Calculate the least common multiple of t and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 553259940 = 3*m. Suppose -4*x - m = -4*p + 197095005, -60800000 = -p - x. Round p to the nearest 1000000.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2343995 or -11719978\/5?\nAnswer: -2343995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 22*u - 127 - 123 - u**2 + 230. Suppose 3*h = -3*h + 126. Let b be x(h). Solve 0 = -t + 2*l + b + 7, 0 = 2*t + 5*l + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 103*k + 468. Let n be p(-4). Calculate the greatest common divisor of 88 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/4 + (246 - 259)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6296.961ns in milliseconds?\nAnswer: 0.006296961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68.9997 - 0.0003. Let q = a + 69.00004784. What is q rounded to six dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31800 = -13*h - 7*h. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3 + 5\/2). Let w be (x\/(-12))\/(2\/762). Suppose -d + 2*d - w = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.848376 weeks in nanoseconds?\nAnswer: 5956297804800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.17 and 51.6196.\nAnswer: 51.4496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 - 242\/(-308) - 1. Let j = -0.011 - -2.711. Let l = 3.1 - j. What is the closest to l in h, -3, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 27877081 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 615.44016 seconds?\nAnswer: 0.1709556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llhl when four letters picked without replacement from {h: 2, u: 2, l: 2, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3*(-9)\/702). Solve -9*l = -10 - u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186 - 182. Suppose 1404 = o*b - b. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from {u: 1, i: 12, q: 1, b: 2, n: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174 - -300. What is the greatest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1 + 90\/(-95)). Let o = -12 - b. Suppose -o*f = -6*f - 4. Solve 0 = f*w - 8*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/18084 and 137\/198?\nAnswer: 54252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 379\/5. Let q = 59\/2 + -30. Which is the biggest value? (a) q (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1992 - -3?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 19*h + 16. Let k(m) = 3*m**2 + 57*m + 48. Let u(z) = 6*k(z) - 17*y(z). Let p be u(-18). Is 1 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13663.21405 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 267 + -261. Solve k + c = 3*k, 0 = 5*z + 2*k - 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2608*b + 257719 + 135671 = -4653*b - 6325*b for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:48 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 597.2902 meters?\nAnswer: 597290.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 13302548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x + x - 3*x + 0 - 2*x + 0 - 2*x + 6*x - 2*x + (2 + 1 - 1)*(0 - 2*x + 0) - 2*x + 0*x + x + 20 + 22 - 45 + 5*x.\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 6 + 0)*(0 - 3 + 4) - 1 - 1 + 5)*(-74*h**2 + 134*h**2 + 109*h**2)*(0 - 2*h + 0).\nAnswer: -1690*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**3 + 859*q**2 + 884*q + 5. Let s(u) = -u**3 + u**2 - 6*u + 3. Let k(a) = 3*s(a) - t(a). What is the second derivative of k(p) wrt p?\nAnswer: 18*p - 1712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34120*o**2*r**3 - 335*o**2*r**2 + 10*o**2*r + 3*o*r**2 - 3*r**3 wrt r?\nAnswer: -204720*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-1 + -2)*-1). Suppose -3*o + 42 + 3 = t. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0, 3, -2 in descending order.\nAnswer: 4, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 6*d - 41. Determine t(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-67)\/(2010\/20))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4433*v - 2495 - 11818 = 47749 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 31388.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15215 = -158*c + 51524 + 3413. Calculate the highest common factor of c and 5994.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 + 44*c**4 - 8*c**3 - 88*c**2 + 4*c + 44 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 7 - 4)*(2 + 1 - 4)*(4*v + 0*v - 2*v) as n*v + a and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -18*y - 1233. Let h = -402 - y. Solve h = -15*n + 18*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p - 1 + 15*p**3 - p**4 + 4*p + p**2 + 14*p + 230*p**3 to the form x*p**3 + j*p + t*p**2 + l*p**4 + i and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 2*p**2 - 7*p + 1. Let b be m(4). Suppose 3*z - b*z = -40. What is the highest common divisor of z and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05354 + -205.05354. What is the second biggest value in g, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*u + 286 = 2574. Calculate the remainder when u is divided by (-1 + 0)\/((-2)\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -781*v**5 + 740*v**2 wrt v?\nAnswer: -46860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -40.3, -0.0895?\nAnswer: -40.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 322818 divided by 173\nAnswer: 1866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11464471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 3300103?\nAnswer: -3300110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3540, -3536, -3530, -3522, -3512?\nAnswer: -3500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -105, -148, -191?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + -8 + (-5 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjdjjejjeeejeejjjj. What is prob of sequence dee?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -418, 4, 3, 0.\nAnswer: -418, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4 + 8 + 8 + 4*u**2 - 1. List the prime factors of v(-6).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -2*g**5\/55 + 6*g**3\/11 - 4*g**2\/11 - 24*g\/11 + 4. Determine v, given that n(v) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3669544, -3669546, -3669548, -3669550?\nAnswer: -3669552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 171348386.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1110?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221120 + 2?\nAnswer: -1221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1 + 4*c + 0*c + 2. Let v be w(4). Suppose -5*z + 49 - v = 0. Calculate the smallest common multiple of z and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -8*s + 5*k, 0 = -4*s + 3*k. Sort s, -1\/5, -56 in increasing order.\nAnswer: -56, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4023807?\nAnswer: 3, 173, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/13)\/((g\/(g**(-12\/13)*g)*g*g)\/g) assuming g is positive.\nAnswer: g**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 2\/39*x**3 + 0*x**2 + 5\/78*x**4 + 76*x + 0 - 1\/39*x**6 - 1\/65*x**5. Solve g(n) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 21 = 12*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.551 - 0.151. Suppose 0*f + 2*f - 48 = 0. Let m = 19 - f. Which is the third biggest value? (a) v (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 508*j - 40124. Calculate g(79).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98204 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*-2*3\/6. Let a(p) = -c*p + 1 - 1. Let w(v) = v. Determine w(a(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269*g**3*j**3 - 2*g**2*j**3 + 2*g**2*j + 28*g*j**2 wrt g.\nAnswer: -1614*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17536 and 512?\nAnswer: 70144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 20*c - 3 - 15*c - 4*c. Give m(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7 = -4. What is the units digit of z - (-2 - (-1 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 31*u - 13.\nAnswer: 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 306, 613, 922, 1233, 1546, 1861, 2178?\n\"Answer: v**2 + 304*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/(6\/(-3))*(295 - 278)\/(17 - 0).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 426*m + 13 = 425*m, -7 = -4*y + 3*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 - -126. Which is the second biggest value? (a) -3 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*x = 18, x - 5 = -0*x. Let f be 0*(p + -7) + 1 + 2. Suppose a - 44 = -f*a. Solve -2 = -2*c - 4, -a = 4*z - c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(2*m + m - 2*m + (0 + 4 - 3)*(m - 2 + 2) - 12085*m + 11397 - 11397).\nAnswer: 12083*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 5*b**4 - 2*b**2 + 2*b**2 + (b**4 - 3*b**4 + 0*b**4)*(0 + 1 + 1) to the form v + n*b + j*b**2 + m*b**4 + k*b**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from {u: 1, z: 2, j: 3, k: 1, f: 3, x: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 37 + 8. Let g(d) = -5*d**3 - d**2 - 2*d - 1. What is the lowest common multiple of g(-1) and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, 4, -0.1, -0.038?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 + -338443325?\nAnswer: -338443467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 1 = -19*j. Let h(f) = -f**2 - 25*f - 141. Let a be h(-8). Put 0, -1, a, j in decreasing order.\nAnswer: j, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-294))\/((70\/(-5))\/168).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**7\/6 - w**4\/12 + 23*w**3\/2 + 21*w**2. Differentiate t(a) with respect to a.\nAnswer: 140*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0*q + 2*q**2 + 1 + 0*q**3 + 1\/12*q**4. Let w(y) = 41*y**2. What is i(w(k))?\nAnswer: 82*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 82\/8 - (-2)\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 1:04 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/673 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - w + w)*(0 + 2 - 1)*(-1 + 4 - 1)*(4*w + 0*w - 2*w) as i*w + d*w**2 + r and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000568734566 rounded to 5 dps?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45049, 47568, 50087, 52606, 55125?\n\"Answer: 2519*c + 42530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 5*b**2 - 210*b - 634. What is the remainder when 638 is divided by c(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 10:20 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 10:57 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t + 2*t**2 + 10*t)*(-2 - 2 + 3)*((-5 + 5 - t)*(4 - 3 - 3) + 0*t + 2*t - t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/210 - 239*d**4\/84 + 158*d**3\/7 - 2*d**2 + 4*d + 232. Factor l(m).\nAnswer: 2*(m - 237)*(m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5482.87885 + -5483. Let p = r + -0.06009. Let q = -0.18 - p. Round q to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (2 - (-5010)\/3). Let o = 4783 - g. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.108, 5\/6, 3\/7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + k - k**2 + 12*k**2 + 3*k**2.\nAnswer: 11*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, o: 2}. What is prob of sequence ggg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21 + -5 + (-1)\/1. Suppose 4*k + x = -3*y + 35, 0 = -3*k - 12. Calculate the remainder when 34 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12e68f (base 16) to base 4\nAnswer: -10232122033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32 times -550301.91\nAnswer: -17609661.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000386946 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3339118 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.161929 - -0.314?\nAnswer: 0.152071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13165*j - 8. Let o be z(4). Suppose -3*q - o - 22775 = -2*v, 0 = 5*v + 3*q - 188536. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 85*f = -87*f - 354339, -f - 212603 = -3*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 - (0 + -27 - -16 - 8).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30070942 and 54674440.\nAnswer: 601418840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m*m*m**(-6))\/m*m**(4\/7)\/m*m*m**9*m*m**(3\/13) assuming m is positive.\nAnswer: m**(619\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*o + 9, 3*s - 16 = s + 2*o. Suppose 0 = 5*k + 20, -s*x - 5*k = -2*x + 18. Solve 0 = -t - b + 6, -x*t = -4*t + 2*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 5*w**2 - 8*w - 9. Let y be j(-6). Suppose -154 = -2*a + y*i, -a = a - 4*i - 154. Suppose a*l = 79*l - 260. List the prime factors of l.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 - 253. Let h = -85 - n. Which is the nearest to 0.1? (a) 0.3 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 3*p**2 + 2*p - 1. Let t = -21 + 19. Does 4 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 258\/17 (b) 5 (c) -0.1 (d) -24\/5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -14*b**3 - 7*b - 7. Let k(n) = 9*n**3 + 5*n + 5. Let f be (1 - -1) + (-1)\/(2\/(-6)). Calculate f*r(u) + 7*k(u).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15171431 > 15171431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 204661.8.\nAnswer: 204662.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*f + 15. Suppose 106 = 4*d + f*y, 2*y - 62 = -2*d + 4*y. Let v = 31 + -16. Calculate the remainder when d is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3859720?\nAnswer: 2, 5, 96493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 20*a**2 - 42*a - 25. Suppose -d + 45 = 19. Let x = d + -4. Let l be i(x). Solve 4*y + 3*s = -y - 29, y + l = -5*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1132 + -1c?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, -3\/13, 4, 7.5, 15, -2 in increasing order.\nAnswer: -2, -3\/13, -0.23, 4, 7.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 3740 = 37*i. What is the greatest common factor of 136 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16945234 is divided by 178.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3460)\/173*(1050\/40)\/7?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000898892 rounded to 5 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/215 + 209\/645. Let f = -0.2 - -0.7. Put 2\/3, x, f in descending order.\nAnswer: 2\/3, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 9*s**2 - 9*s + 13. Let l be o(-10). Solve l*m = x - 20, 3*x - 2*m + 8 = 33 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -13784?\nAnswer: 13789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 + 95. Solve -27 = -4*j - q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771406151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*k = -2*b + 6, 0 = 2*b + 4*k - 10. Let r = b - 0. Let c be (-86)\/(-110) + r\/(-5). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4359 is divided by 2179.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 28*a**2 + 3*a + 2. Let l be j(-2). Suppose 4*b - 248 = -2*w, -7*b = -5*b - 3*w - l. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(((s**4*s)\/s)\/s)\/s)**49*s**(-13)\/(s\/(s\/s**(-1))) assuming s is positive.\nAnswer: s**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10234 is divided by 2695?\nAnswer: 2149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 28*z - 168, -5*z = -12047*p + 12044*p + 188 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396326.9 minutes to microseconds.\nAnswer: 23779614000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttxxxxtxtx. Give prob of sequence ttx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**5\/4 + 462*t**4 - 128925*t**3\/4 - 201669*t**2\/2 - 1839*t + 134442 = 0.\nAnswer: -679, -2, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2, 1.4, 1\/4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.896778 rounded to one decimal place?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*a = 9, 0*p - 3*p + 18 = -a. Solve -2*l + 1 = -p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/150 + m**4\/15 - 27*m**2\/2 - 21*m. Let x(h) be the first derivative of r(h). Find p such that x(p) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 18, 28?\n\"Answer: 10*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*v - v + 25*v + 5*v - 3*v - 3*v + 3*v - v - 6*v + (-4 + 4 + 1)*(-2*v + 2*v - 2*v) to m*v + u and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 4*g + q - 13, -4*g = -3*q - 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.317 - -0.317. Let z = -3 - -3.1. Sort z, g, -2, 2\/7.\nAnswer: g, -2, z, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3\/5 - 319*n**2\/5 - 26546*n\/5 - 293384\/5 = 0.\nAnswer: -182, -124, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 19*y - 2*z - 2458, -5*z + 3703 = 3*y. Is y a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95781\/10 + 9578. Sort a, -5, 0.5 in decreasing order.\nAnswer: 0.5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20122010 (base 3) to base 13.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23961510307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23721523 - -15?\nAnswer: 23721538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-24\/5)\/(g\/(g**(-15)\/g*g)*g))\/((g\/(g*g*g**(2\/3)*g*g*g*g))\/(g\/((g*g\/(g*g**(-19)))\/g*g))) assuming g is positive.\nAnswer: g**(-527\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -9. Calculate the greatest common factor of 63 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m**(-1)\/m*m*m)\/m)))**(-7\/2)*(m\/(m*m\/m**(-1)))**(1\/20)*((m\/m**(1\/3)*m)**(22\/5))**(3\/40) assuming m is positive.\nAnswer: m**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*d + 59*d - 3*k + 931, -13*d = -17*d + 4*k - 208 + 184 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 + -71. What is the third derivative of -5*o**2 + 208*o**3 - 199*o**3 - p*o**2 wrt o?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 1, q: 5, y: 3, d: 6}. Give prob of picking 1 d and 1 q.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 5, -795 in descending order.\nAnswer: 5, 1, 0, -795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1746541 + -1025?\nAnswer: -1747566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -45 + 5. Solve 3*g = a*o + 19, -2*g - 4*o + 4 = 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -0.9. Let j = -499\/4 - -124. Let s = -2.7 + 1.7. Which is the closest to s? (a) i (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13678504, -13678500, -13678494, -13678486, -13678476?\n\"Answer: w**2 + w - 13678506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 870 and 84570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1497012 by -66.\nAnswer: 22682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g**2 + 46*g**2 + 63*g**3.\nAnswer: 63*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l**4\/2 + 131707*l**3\/2 - 43441431*l**2\/2 + 3620317349*l\/2 - 515416609 = 0 for l.\nAnswer: 2\/7, 167, 18481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = 4*b - 6*b, 3*b + 2*z = 24. Is 5\/b + (-3)\/12*-62906 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -781 - -269. Let c = w - -1492\/3. Which is smaller: -15 or c?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = c + 2*w, 6919*c + 4*w = 6923*c - 32 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -127 (b) 12 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20214.02 + -19926. Round o to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*r - 5*r. Let c = r - 5. Solve a - c = 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 494 - 161 + 2*a**2 - 166 - 525*a - 167 in the form i*a**2 + f*a + n and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 25*a**2 + 46*a + 27. Is 4 a factor of s(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 115*t + 115. Let p(g) = -5*g - 31. Let i be p(-5). Let d(y) = -116*y - 115. Let q(n) = i*s(n) - 7*d(n). What is the derivative of q(l) wrt l?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*w + 418 = -73*w. Calculate the highest common factor of w and 1067.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 + f**2 - 4*f\/9.\nAnswer: -f*(f - 4)*(2*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1131301132332 - 0?\nAnswer: 1131301132332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9)*(-6 + (-27)\/(-6))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-16 + (-11 - -2) - 51)) + (0 - 3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**3\/57 + 24*c**2\/19 + 288*c\/19 - 17. Factor f(h).\nAnswer: 2*(h + 12)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471772?\nAnswer: 2, 7, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 56*d**2 - 3*d + 8. Determine y(28).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (75 - 72)\/((-4)\/(-30)*(-15)\/(-6)). Suppose 2*u + 3*h = 393, -2*h + 85 - 264 = -u. Calculate the greatest common divisor of n and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67\/4 of a meter?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819536.\nAnswer: 2, 17, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.53 + -0.23. Let u be 0\/2 + 3\/(-5). What is the closest to -1\/2 in -0.5, u, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-75) + (-186)\/(-279)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 236. Give a(-36).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5)*(4921\/627 + -8). Which is the biggest value? (a) 4 (b) u (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20784182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 - 9 = 26*c. Let m(f) be the first derivative of f**5\/20 + f**4\/2 - 3*f**3\/2 - 5*f**2 + f - 1. Let p(k) be the first derivative of m(k). Give p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 0*o + 3*o)*(2 + 0 - 4)*(o + 0*o + 2*o)*(-4*o + 2*o - 3*o)*(0 - 2 + 4).\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 67590\/(-15771)*(-1)\/2*7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2382 and 1121.\nAnswer: 1120.7618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 7*f**2 + f - 2. Let d(x) = -x + 19. Let b be d(12). What are the prime factors of h(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -10. Let r = -0.81 + 1.81. Let m = 254\/585 - 4\/117. Which is the closest to r? (a) j (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 167*p**2 - 2*p. Let s(i) = i**2. Give c(s(h)).\nAnswer: 167*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 1. Let u(i) = 3*i - 5. Let k(m) = 6*n(m) - u(m). Suppose -3*o + 15 = 2*z - 1, 3*o = 0. Let y be (-10)\/4*z\/(-10). Determine k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**19)\/(((z**(-21)*z)\/z)\/z) assuming z is positive.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -107, 5, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-27 - 3) - ((55 - 97) + 46)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53643 - 78239. Let w be 14\/21 - k\/6. What is w rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 2*v**2 - 3*v**2)*(-297*v + 168*v - 152*v - 388*v).\nAnswer: 4014*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, 6, 28, 50, 66, 70, 56?\n\"Answer: -n**3 + 9*n**2 - 4*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*b - 317 + 8*b + 44*b wrt b.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1202*u**4 - 2*u**3 + 2*u + 273. Let q(f) = 1201*f**4 + 3*f**3 - 3*f - 275. Let m(n) = 3*g(n) + 2*q(n). What is the derivative of m(i) wrt i?\nAnswer: -4816*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 7*y**2 + 9*y + 11. Let i be x(-8). Let k(s) = -2*s. Let t be k(1). List the prime factors of i*(-3)\/6*t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + x - 22)*(-1 + 2 + 0)*(9 + 10 + 1) in the form s + n*x and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 41\/24 - (430\/80 + -5). Let h = 39 + -116\/3. Factor -c*f + 4\/3 + h*f**2.\nAnswer: (f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624*i - 334*i - 293*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - 56. Calculate the highest common factor of f and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -1, -4 in increasing order.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/32624832 and 29\/16668.\nAnswer: 97874496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - (55 + -155)) + (-1 - (-15 - -2))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-4 - -2) - (53 + -38)) + 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713793 is divided by 926.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 13*g**2.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 16166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q + 50. What is z(-16)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-2)\/(10\/(-5))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -4 - (-1 + 0 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 90*q**3\/23 + 17206*q**2\/23 + 3048*q\/23 - 1528\/23 = 0?\nAnswer: -191, -2\/5, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.775 or 2?\nAnswer: 1.775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 9069580 and 2.\nAnswer: 9069582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84211906 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154426 is divided by 4824?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0\/r)**(-3))**(1\/10))**(6\/23) assuming r is positive.\nAnswer: r**(9\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 871 + 286 = 0. What is the remainder when 178 is divided by r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5132225 and 1232.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 538760770 and 3230.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 78979403 divided by 4?\nAnswer: 78979403\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*i = 3*i - 39, -s + 2*i = -1. Let d = -162 - -165. Solve -d*p - 4*y + 4 = -2, -y = -3*p - s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*1\/(-6) + 100864\/(-654336)*-142?\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/10, 3\/4, -1\/21, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010101101010111000 - -101000?\nAnswer: -1011010101101010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(90))\/sqrt(9))\/((sqrt(162)\/sqrt(9) - sqrt(2)) + sqrt(2)*-2*-2) + 0.\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1030 and 5665.\nAnswer: 11330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -4, -80, -5 in descending order.\nAnswer: 0, -2, -4, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 382060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 - -0.79. Is h at least as big as 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1334 + 201 - 125 + (-5 + 2 + 1)*(-1 + 3 + 0) - 2 - 1 + 1)*(l - 4 + 4)*(-3*l**2 + 3*l**2 - 4*l**3) as f*l**4 + h*l + k*l**3 + c + y*l**2 and give f.\nAnswer: 5056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3177900 times -0.3?\nAnswer: -953370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 1)*(-20 + 20 - 8*v**2)*(457 + 262 + 171) as c*v**2 + t*v + r and give c.\nAnswer: 21360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbfb when four letters picked without replacement from {f: 2, b: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 3, 6 in decreasing order.\nAnswer: 6, 3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 11603?\nAnswer: 11610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224928 - 224928 - 4*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 776473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/3)\/(5 + -3 + 15\/(-18)). Factor 3\/2*o**i + 0*o + 0 - 3\/4*o**3 - 3\/4*o**4.\nAnswer: -3*o**2*(o - 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 3, -336.\nAnswer: -336, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3587340 by -5.\nAnswer: 717468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.23 - 3.03. Let q = a - -2.8. What is the third biggest value in q, 0.3, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79309892183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p*z**5 - 45*p*z**3 + 1361*p*z**2 + 2*z**2 wrt z?\nAnswer: 60*p*z**2 - 270*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -21, -87, 0.5, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44406 divided by -3.\nAnswer: -14802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u + 2. Let o be q(3). Suppose -33 + o = -f. Suppose f*h + 95000 = 5*h. What is h rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120302394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04101 in 0.1, -2, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.969 from -0.286.\nAnswer: -2.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -83.3807 and 0.033.\nAnswer: -83.3477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 240379 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 351 + -171. Let d = i + -117. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 659, 7 in decreasing order.\nAnswer: 659, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -133*w - 28976. What is u(-218)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6279, 6304, 6327, 6348, 6367, 6384, 6399?\nAnswer: 6412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 15. Let a(v) = v**3 + 28*v**2 + 53*v + 31. Calculate the remainder when o is divided by a(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 - (4 - (14 + -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 281\/12954 + 1\/102. Let h = 683\/1524 - w. Let g = h - 13\/60. Which is the nearest to g? (a) 0.3 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.25389 and -0.2.\nAnswer: 0.05389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 740 and 12210.\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + y**2 + 1. Let l(v) = -v**3 - 10*v**2 - 10*v - 9. Let u be l(-9). Let a be r(u). Let p(x) = 0*x + a + 1 + 5*x - x**3 - x**2. What is p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18475 and 11840?\nAnswer: 43748800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -104, -4, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:58 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*i**2 - 149 + 149)*((-2*i + 0*i + 3*i)*(-6 + 5 - 1) - i + 3*i - 3*i).\nAnswer: 222*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10388 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*l = -2*o - 105, l - 39 = 2*o. Calculate the remainder when 149 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.125361?\nAnswer: 0.626805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -511, -510, -509, -508, -507?\n\"Answer: r - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (204\/(-9) + 2)\/((-1)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (-2*(sqrt(11) + sqrt(110)\/sqrt(10) + sqrt(11)))**2.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19551270?\nAnswer: 2, 3, 5, 67, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**2 + 5*f**2 - f**2)*(3 - 3 + 3)*(-9*f - 11*f + f) as o*f**3 + g + z*f + x*f**2 and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*f - 2698 = -7*b, -5396 = -4*b - 2*f. Suppose 4*x - b + 481 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329475, -658951, -988427?\nAnswer: -1317903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 186 - 132. Put l, 2, 1, 5 in increasing order.\nAnswer: 1, 2, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 241450, 0.\nAnswer: -2, 0, 241450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:08 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8266?\nAnswer: 2, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 75, 84, 95, 108, 123?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 224555?\nAnswer: 224554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637924.\nAnswer: 2, 7, 22783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8622 - 8612. Let g = -1 - -6. Which is the third smallest value? (a) g (b) -0.3 (c) z (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -147158, -147201, -147288, -147431, -147642, -147933, -148316?\n\"Answer: -2*t**3 - 10*t**2 + t - 147147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.87 and -48?\nAnswer: 41.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 4*r - 3. Let p be h(-3). Let f be p\/(-8) + 33\/4. Let n = 16 - f. Round n to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiihiiiiihhhh?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 + 74*s + 6. Let c be p(19). Calculate the common denominator of (-55*c\/1960)\/((-3)\/(-14)) and (1\/2)\/(15\/(-59)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 27) + 28 + 2 + -25 + -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163260.\nAnswer: 2, 3, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6445, -12890, -19337, -25786, -32237, -38690, -45145?\n\"Answer: -v**2 - 6442*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 2 - 2 + (m - 4*m + m)*(-1 + 2*m + 1) + 0 + m**2 + 0 - 15*m**2 + 66 - 66 + (7*m - 2*m + 7*m)*(-2*m - 1 - 1 + 1).\nAnswer: -44*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 8:01 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/1905 and -59\/210?\nAnswer: 26670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvueeut. Give prob of picking 2 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454178 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/32, -0.1, -0.4?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 33. Let t = 16 + d. Let r = -0.3 - -0.1. What is the nearest to t in 3, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, y: 2, j: 6, v: 1}. Give prob of sequence vyjj.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-600794)\/411400 + (4 - 7) + 2. Let n = h - -3\/8228. Calculate the common denominator of n and 151\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8359 - 8357. Let s = 0 - -6. Let p = -11 + s. Which is the fourth biggest value? (a) -4 (b) 9 (c) p (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 718\/6 + 1\/3. Suppose 0 = p - 6*p + n. Suppose 4 - p = -5*d. Solve -2*g + t = 0, 3*t + 0*t = -d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 0 (b) -19 (c) -0.07 (d) 1\/67 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 2*a - 8265. What is v(90)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 48\/5 of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1\/4, -0.2, -173471 in ascending order.\nAnswer: -173471, -1\/4, -0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2. Let l(s) = s - 3. Let q be l(-5). Let p be ((-3)\/(-4))\/((-2)\/q). Let r(y) = -p*y + 22*y**2 + 5*y - 2*y. What is z(r(g))?\nAnswer: -484*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 1.46.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 4c?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208.837 centuries in years?\nAnswer: 320883.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 282 - 491. Let f = i + 216. What is the least common multiple of f and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 13*o - 3. Let k(v) = -13*v + 2. Give 5*k(l) + 4*n(l).\nAnswer: -13*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.235847 + 0.236. What is j rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 132307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14\/9 of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 59.3. Let u = -1 + 0.7. Let m = 0.2 - u. What is the closest to 2\/7 in v, m, -2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 209*i**2 + 1303. Let v(w) = w**2. Determine h(v(k)).\nAnswer: 418*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-6) + 0 + 0. Let u(s) = 125*s - 1. Let c be u(j). Is (c\/6)\/((-2)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cd0 (base 16) to base 10\nAnswer: -3280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/14)\/((-35)\/(-84))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*r + 8, 0*r - 2*t - 4 = 5*r. Suppose r = -21*g + 22*g - 9. Calculate the greatest common factor of g and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 63, -5, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.9, 5, -1288, 0.16?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 48\/6)\/(2\/(-299)). Suppose -4*a + d = 3. Calculate the remainder when 12 is divided by 333\/a - 1\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 63984918, 127969837, 191954756, 255939675?\n\"Answer: 63984919*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 7*c + 17. Let g be k(-8). Solve 2*z + 3*y = -g, -7 + 27 = z - 5*y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-13)\/((-13)\/714). Let q = f + -309. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**3*l**3*y - 17*k**3 - k**2*l*y - 38*k*l**3 - k*l**2*y wrt k.\nAnswer: 36*k*l**3*y - 102*k - 2*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 698?\nAnswer: -2094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7593 + -7208. Calculate the lowest common multiple of 140 and o.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046087137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*i = 249206, 4*p + 4*i - 88481 - 160743 = 0. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 0.03, -0.5, 32\/3 in ascending order.\nAnswer: -0.5, -0.2, 0.03, 3, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787 a factor of 6363643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -26 + 174. Let j = -100 - q. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -870 + 612. Let c = w - -519. Let r(u) = -c + 261 + 3*u. Let y(d) = -5*d**2. Give r(y(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -196*s**5 - 12607*s**4 - 402035*s**3\/2 + 118021*s**2\/2 + 129272*s + 25538 = 0.\nAnswer: -226\/7, -1\/2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + -2 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -386*h + 563. List the prime factors of m(-20).\nAnswer: 3, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6934 divided by -1.\nAnswer: 6934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52, -58, -74, -106, -160, -242, -358, -514?\n\"Answer: -o**3 + o**2 - 2*o - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -15839\nAnswer: -4\/15839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 50 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 148?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1987 - -1986.7. Let y = -0.023 - -3.123. Let l = -3.2 + y. What is the closest to l in u, -10, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9562399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 56 + (37 - (28 - 16) - 32)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r + 0*r - 5*r + (14 - 49 - 21)*(2*r + 0*r + 5*r) as x + a*r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -17. Let j be 1 - q\/(1*-2). Let z = j - 7. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**5\/40 + 21*k**4\/8 + 297*k**3\/4 - 3267*k**2\/4 + 2*k + 4. Factor p(w).\nAnswer: (w - 3)*(w + 33)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4367 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 + 7*h**2 + 4*h + 15. Let o(i) = i**3 + i + 1. Let w(x) = m(x) - 5*o(x). What is the units digit of w(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 5*n**2 - 3*n - 70880. Let j be c(0). What is j rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1760 - -924. Calculate the remainder when 0 + (-1)\/4 + z\/(-16) is divided by 3*-1*(-1 - 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(39*m**3 + 109*m**4 - 77*m**3 + 36*m**3) - 6*m**4 + 2*m - 2*m.\nAnswer: -115*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220311220002 - -32?\nAnswer: -220311213310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 4*g**2 - 2*g**2 + (-2*g**2 - g + g)*(5 - 2 - 4) - 4*g**2 + g**2 + 2*g**2)*(2*g**3 - 2*g**3 - 5*g**3).\nAnswer: -15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64987?\nAnswer: 13, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29829009.\nAnswer: 3, 7, 1420429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4878782 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7074 is divided by 2884.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18887265 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + 13?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36741?\nAnswer: 3, 37, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-149 - 475 - 215 + 96)*(-2*z - 3*z**2 + 2*z) in the form s + k*z + t*z**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3054430 (base 6) to base 16.\nAnswer: 24012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.5. Let s = -1323 - -1323. Let r be ((-2)\/(-10))\/((-4)\/(-8)). What is the second smallest value in s, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 975a + 5?\nAnswer: 9763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.798852 milligrams in kilograms?\nAnswer: 0.000008798852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*h = 3*s + 11, -25 = 5*h. Suppose 0 = 4*r + 4*l - 32, 0 = -2*r + s*l + l - 8. Solve -r*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6474.\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1086742 and -0.1?\nAnswer: 1086741.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -308067*n. Let o(u) = 4*u. Give o(r(b)).\nAnswer: -1232268*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/5)\/(v**(-2\/3)*v)*(v\/v**(-12))\/v**(-4\/13) assuming v is positive.\nAnswer: v**(2491\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 + 2. Let o = -2826.3 + 2826. Put o, -4, q in descending order.\nAnswer: o, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c4 - 10?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 39*u**2 - 6*u - 205. Let z(c) = -36*c**2 + 203 - 9*c**2 + 4*c**2 + c + 6*c. Let l(t) = -6*j(t) - 5*z(t). Differentiate l(k) wrt k.\nAnswer: -58*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-20)\/(-75)*10*9\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 380 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -585924268\/6855 - -85474. Is i smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**3 + 3*f**2 - 3. Let h(y) = -9*y**3 - 5*y**2 + 5. Calculate 3*h(s) + 5*r(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q\/(q*q**0))**(7\/2)\/(q**6*q*q**2) assuming q is positive.\nAnswer: q**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 648*s**2. Let h(y) = -260*y**2. Determine -12*h(j) - 5*u(j).\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-37)\/8 - (22 + -26)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n + 39*n + 2*b = 90, 0 = 4*n + 3*b - 72. Solve -5*r = f + n, 0 = -3*f + 4*r + 9 + 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 20. Suppose -5*z + u = -4. Find s such that -1\/4*s**3 - z*s + 5\/4*s**2 + 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 0 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 265902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -3*d**4\/16 + 4405*d**3\/4 - 1819953*d**2 + 3636603*d - 3237. Factor c(v).\nAnswer: -3*(v - 2202)**2*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/3 + 47*y**2\/3 - 98*y\/3 = 0.\nAnswer: -49, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2*(8 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35786546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {x: 1, y: 1, k: 1, n: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:58 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1170)\/(-91))\/(-9)*14\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 30 = 8*r. Let h = -5500\/3 - -1808. Calculate the common denominator of h and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -4, 10, -491, 13 in decreasing order.\nAnswer: 28, 13, 10, -4, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -160, -152, -132, -94, -32, 60?\n\"Answer: g**3 + g - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 16*c**2 + 3*c - 15. Suppose -l = -5*u + 2*l - 52, 2*u + 18 = 4*l. Is t(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122854, -122853, -122852, -122851, -122850?\nAnswer: -122849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62481 and 2124.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(171))**2 + (sqrt(209)\/sqrt(176))**2.\nAnswer: 10963\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -27.2, -4\/5, 4, -0.4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 0 + 0)*(-5*d**2 + 18*d**2 + 7*d**2) to the form b*d + n*d**3 + f*d**2 + m and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 1. Let g be x(-4). Let d = g + -7. Let t(h) = 11*h**2 + 13*h + 19. Is t(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**3 + 3*y + 2 - 12*y**2 - 2*y**3 - 2*y**3. Is 25 a factor of f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + q**2 - 2*q**2)*(-3*q - 6*q + 2*q).\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z + 3. Let k(r) = 5856*r**2 - 4392*r + 13176. Give 4*k(s) - 17568*m(s).\nAnswer: 5856*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 17346*s - 17339*s - 10.\nAnswer: 7*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 133238 + 5?\nAnswer: 13323d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (35\/280)\/((-5)\/(-40))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -51. Suppose 3*u = -q + 55. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/29, 814, -0.6, 2\/21?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auyttggtuttt. Give prob of sequence gu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-22))\/(10194\/841005)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b - 89*b = -760*b - 5841 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -296155*l**3 - 506*l**2 + 707897676*l wrt l?\nAnswer: -1776930*l - 1012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 15202304?\nAnswer: 15202300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10240815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23793509809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2934828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14746 < -14748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7289 - 0.743746. What is v rounded to four decimal places?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 27*r**2 - 29*r + 34. Determine m(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36209 is divided by 182.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144 - 37*v**2 + 144)*(4*v - 4*v + 3*v + (-3*v + 2*v - 6*v)*(-1 - 4 + 3)).\nAnswer: -629*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.60914 to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 - 5 - (0 - -53)*-2?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 418\/16 - (-2)\/(-16). Let c = -2 - y. Let i = 102 + c. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -44.5. Sort s, -3\/7, -0.4 in decreasing order.\nAnswer: s, -0.4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*f**2 - 144*f**2 + 277*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) - (-2070)\/50. What is the second derivative of -179*u**2 + l*u - 4*u**4 + 179*u**2 wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1383 (base 9) to base 8.\nAnswer: -2027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -0.4, 6 in descending order.\nAnswer: 6, -0.4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.084 + 29.484. Which is the nearest to z? (a) -1\/3 (b) 5 (c) -2 (d) 1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from dwrwrwwk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 3, -3, 55856 in descending order.\nAnswer: 55856, 3, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/(-528)*12\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 2*g + 2. Let o(f) = -6*f**2 - 5*f - 5. Let u = -33 - -35. Give u*o(b) + 5*h(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 4. Let y = 10 - h. Suppose y*c - 11 - 12 = -3*m, -c = 1. Calculate the greatest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 315\/(-525)*(-5 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6 + 4 = 0. Let w be 2 + (d - (-2)\/1). Suppose 1 - 11 = -5*t. Solve -4*y - 6 = w, t*x - 10 = y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141083 and 351067.\nAnswer: 3281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 2 + (-34 - -25) - -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 20\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 11965551.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001 (base 2) in base 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -69478.65175 to the nearest 10.\nAnswer: -69480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9745542?\nAnswer: 2, 3, 180473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2235819 is divided by 447158.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140805 by -15645.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1306.1 (b) 2\/9 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**3 + 2*y**2 - 2*y + 3. Let f(x) = -x**3 + x**2 - x + 1. Let k(w) = 3*f(w) - t(w). Let r(c) = -c**3 - 2*c**2 + 2*c - 9. Give 2*k(q) + r(q).\nAnswer: q**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffe when three letters picked without replacement from {h: 1, q: 1, f: 5, e: 3, c: 1, l: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -10. Suppose 3 = 12*x - y*x. Which is smaller: 1\/12 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 284626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-15)*5 - -407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322 (base 9) to base 5.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 0 - 2*m**2 - 4 + m**3 - 2*m - 2*m. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 8*p - 6. Calculate x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51383241*l**5 + 4108*l - 2058 wrt l.\nAnswer: -1027664820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 10:41 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 12 = -4*x, -4*x = -g - 0 - 12. Let l(v) = -5 + v**3 + 2 + 8*v**x + 7*v**2 - 8*v**3 - 8*v. What is the tens digit of l(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.39352t in micrograms?\nAnswer: 7393520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 + -7771?\nAnswer: -7772.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 6805 = 16*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -5*h + 24. Let g(f) = 16*f**2 + 17*f**2 - 57*f**2 + 18*f**2 + 1 - 2. What is g(h)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (-1)\/(-2))*-4. Let q be 54*(-1)\/1 - u. Is (-4)\/10*(q - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -11.81. Let c = -0.19 + t. Let m = 3 - 7. Is m <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 6 = -3*v. Let u be (-8)\/(-8) - 0*(-3)\/(-9). Solve -a + j = -5*a + 1, j = v*a + u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbwwbbpbbbbbccpcbpb. What is prob of picking 1 p, 1 b, and 1 w?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = 12. Let w = h + 12. Let f(k) = -k**3 - 8*k**2 + k + 10. Calculate the least common multiple of w and f(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n + 7*n + 11*n to the form s + g*n and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 3*o + 3. Let r(g) be the second derivative of g**4\/12 - g**3\/3 + g**2 + 2*g. What is -3*r(v) + 2*y(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((13 + -8 - 6) + 13).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*p - 1926 = 6544 - 1882 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5231, 10464, 15701, 20942?\nAnswer: 26187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202130 (base 5) to base 7.\nAnswer: 25032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*x = 135*x - 54 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(((-1)\/3)\/(44\/308)). Which is the third smallest value? (a) m (b) 0.3 (c) 0.1 (d) 0 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001013353 to six decimal places.\nAnswer: 0.001013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*y**3 - 14*y**3 + 182*y**3 - 5 + y**3 - 137*y + y**2 - 1 + 5*y**6 wrt y.\nAnswer: 600*y**3 + 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2380*n**2. Let t(l) = 45*l**2. Give h(t(q)).\nAnswer: -4819500*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2457)\/28)\/3*752\/(-564).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 13 + 64 = f, -x + 199 = 3*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-7))\/(g**11\/g))\/(g**19*g**(-9\/7)) assuming g is positive.\nAnswer: g**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 36*c = -16*c - 64, -9*c + 3 = -6*c for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 959.7344t in milligrams?\nAnswer: 959734400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -47, -103, -181, -281, -403?\n\"Answer: -11*h**2 - h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143*n**3 + 2887?\nAnswer: -429*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 577*n - 2305. Let x be b(4). Let v(d) = -11*d + 5. Determine v(x).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 132.76.\nAnswer: 398.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164*d**2 + 127 wrt d.\nAnswer: -328*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12830951 less than -12830950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s + 3. Is 10 a factor of t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 0.4, 222, -0.2, 3, 22, 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, o: 3}. Give prob of sequence ooow.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 19*i**3 + 10*i - 9. Calculate the remainder when s(1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4584?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 50*i**3 - 120*i**2 - 50*i + 125.\nAnswer: -5*(i - 5)**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - -1*2*sqrt(156)) + -3*sqrt(156)*5)\/(-6*(-2*sqrt(108)*-3 - sqrt(108))).\nAnswer: 2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 7*f - 34 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*b + 22 = -89*b. Solve 2*w - b = -4*u, -3*u - 2*w + 24 = w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**3 + 116339*v**2 - 637168*v?\nAnswer: 6*v + 232678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -43 + (-64 - -87)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 6*o + 8*o - 25*o + 4*o + 2*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3141, 19.75, -3 in ascending order.\nAnswer: -3, -2\/3141, 19.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2 + 2*r**3 - 3 - 1. Let s(u) = -u**3 - u**2 - 12*u - 28. Let i(k) = k**3 + 4*k + 9. Let j(f) = -3*i(f) - s(f). What is 2*a(z) + 3*j(z)?\nAnswer: -2*z**3 + 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -362 + 379. Suppose -7*a = f*a + 456. Which is greater: a or -164\/9?\nAnswer: -164\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.7, -2 in decreasing order.\nAnswer: 0.7, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(54)\/sqrt(3))\/sqrt(9) + 3 + 1 + -1).\nAnswer: 3*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -53, -58?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v + 17. Let w(h) = h. Let o(j) = -4*j - 2. Let y be 3 - (25 - (-2)\/(-1)). Let x(p) = y*w(p) - 4*o(p). Determine -6*r(l) + 13*x(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196 - 89. Let q = d + -109. Let z = -10 - -6. Which is the third smallest value? (a) q (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(700) - 1*sqrt(700)) + -2 + (-2 + sqrt(175)*2 + -2)**2)*-6*-1.\nAnswer: -480*sqrt(7) + 4266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*j + 3 + 6, -4*j = -5*k - 9. Solve -3*y - 12 = -3*a, -2*y + j = 3*a - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*6\/(-6))\/(6\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103666 and 3587?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69932734*f**3 + 3*f + 503795520?\nAnswer: -209798202*f**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 3*j**3 - 16*j + 12*j as h + u*j + f*j**3 + w*j**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-262)\/655*(-1)\/(2\/(-40))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -14 + 10 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 1 - 17, 4*a - 4*m = -40. Let o = -2 - a. Solve 2*l - o = 2*g, 5*g = 5*l + 2*g - 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (-2 + 4) - 2. Let z = u - -1. Determine b, given that 0 + 1\/4*b**3 + 0*b + 1\/4*b**z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from mmmxmmmmmmmmmmmmmx.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u - 7. Let o(k) = 7*k + 3. Let y(x) = -10*o(x) - 4*r(x). Calculate y(3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -84*p. Let t(j) = 3*j**2 - 34*j + 4. Give c(t(f)).\nAnswer: -252*f**2 + 2856*f - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 531, 964, 1399, 1836, 2275, 2716?\nAnswer: 3159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 534 - 533. Let d be 51\/(-45) - 1\/(-3). Let l = 3.4 - 0.4. Put l, i, d in decreasing order.\nAnswer: l, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*g - 276*g = -3*n + 583097, -4*g = -2*n - 1166250. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4*n - 3*n)*(10*n**2 - 11*n**2 - 9*n**2) - n**3 + 0*n**3 + 0*n**3 + (n**2 + 4*n**2 - 4*n**2)*(-n - 2*n + n) - 4*n**3 + 0*n**3 - n**3.\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**6\/4 + 3*z**5\/2 + 3*z**4\/8 - 21*z**3\/2 - 27*z**2\/2 - 108. Solve s(l) = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 16. Let s(m) = 6*m**2 + 4 + z*m - 2*m + m + m**3. Let i be s(-5). Solve 3*d - d - 8 = i*w, -w - 2 = -2*d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34126 rounded to the nearest 100?\nAnswer: 34100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-53397)\/18) + (-1)\/(-2). What is x rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1047, -743, -433, -117?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**5\/30 + k**2. Let r(o) = -o**2 + 72 - 72. Calculate r(u(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -29. Put q, -5, 2 in ascending order.\nAnswer: -5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 16 + 32 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6457 = -7*x, 0 = x + 20 - 25. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**2 + 11*m - 5. Let l(s) = -s**2 + s - 1. Let x(h) = 5*l(h) - r(h). Factor x(q).\nAnswer: 2*q*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 2426136445?\nAnswer: -2426136431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(sqrt(70)\/sqrt(2) + sqrt(35)))\/(sqrt(500) - (sqrt(500) + -1*sqrt(500)*6)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 668, 1402, 2400, 3662, 5188, 6978?\nAnswer: 9032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -142, -334, -612, -982, -1450, -2022, -2704?\nAnswer: -3502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 9:22 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, w: 4, i: 1, h: 2, l: 8, e: 2}. What is prob of sequence ei?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x + 100. Let b(d) = d - 33. Suppose 19 - 36 = 4*a - 5*h, -2*a - h = 5. What is a*o(s) - 10*b(s)?\nAnswer: 2*s + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3209580*d**6 - 50371*d**2 - 58 wrt d.\nAnswer: -385149600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 5:35 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307542865?\nAnswer: 5, 7, 97, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -8. Let p(t) = 14*t - 17. Let j(f) = -40*f + 51. Let h(l) = -3*j(l) - 8*p(l). Let n(q) = -9*q + 14. Let d(u) = -5*h(u) - 6*n(u). Give d(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 + -16425?\nAnswer: -16473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 419663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22957*p**4*u + p**4 + p**3 + 11206*p*u - 6*u wrt p?\nAnswer: -275484*p**2*u + 12*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702050.\nAnswer: 2, 5, 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*3*154\/(-21). Let l = 40 + m. Which is the biggest value? (a) 0.2 (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.016 - 0.084. Is h bigger than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 8*r**2 + 8*r + 3. Let f be s(-7). Let q be f\/(-6) - 365\/(-15). Calculate the greatest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -23279 and 36424 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -51*l**2 - 10*l + 6. Let z(s) = -56*s**2 - 10*s + 9. What is -4*y(c) + 3*z(c)?\nAnswer: 36*c**2 + 10*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 8 = 2*d - 4*a, -5*a = 4*d - 49. What is the common denominator of 59\/7 and 411\/264 + d\/(-33)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 - 1667\/15. Suppose 10*m - 59 = -29. Which is the nearest to -1\/2? (a) m (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5829 - 3?\nAnswer: 5826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.52 + -0.52. Which is the biggest value? (a) -2\/17 (b) k (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i. Suppose i*u + 26 = u. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/6)\/(h\/(h*h**(-6\/17))))\/(h**(-1\/10))**(-42) assuming h is positive.\nAnswer: h**(-2747\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 2 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 6*u = -2*g + 2076, u = -3. Is 45 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5.3. Let t be (77 + -81)*(-1)\/62. Sort -2\/11, q, t, -4 in descending order.\nAnswer: t, -2\/11, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 6356130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5702434 - 1638849 = 3*k - i, 0 = -5*k - 2*i + 6772660. Round k to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*t - 11, 0*t + 4 = 2*t. Let m be 11\/3 - 4\/6. Suppose -g + 9 = w + o, -m*g + 52 = -4*w. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273267033*s + 136632773*s + 2 + 136633667*s.\nAnswer: -593*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*z**3 - 134*z**3 + 54*z**3.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.321*-819.\nAnswer: -4357.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(567))**2 + (sqrt(7) - 2*(sqrt(7)*2 + sqrt(7) + sqrt(7) + sqrt(7) - sqrt(7))).\nAnswer: -43*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630) + sqrt(3630)*6)\/(sqrt(96) - (sqrt(96) - (sqrt(96) + -4*sqrt(96)))).\nAnswer: -77*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/9)*b)\/(b*b\/b**2))**(-24\/11) assuming b is positive.\nAnswer: b**(-64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjjjjjjj. Give prob of sequence jjj.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*n + 66 = 383*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -o + 2, 5*l - 2*o - 1 + 5 = 0. Let r(b) = -b + l*b - 2 - 1 - 2. Let z be r(-6). Solve -5*p + z = 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -15. What is the remainder when d is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 6*o - o)*(0*o**2 + 3*o**2 - 4*o**2)*(3*o - 2*o + 0*o) + o**2 + 4*o**4 - o**2.\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 835446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4689933 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4742, -4680, -4618, -4556?\n\"Answer: 62*d - 4804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -17*m**5\/15 + 526*m**3\/3 - 14*m**2 + 32. Differentiate x(i) with respect to i.\nAnswer: -136*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12346?\nAnswer: 2, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17150 by -831.\nAnswer: -17150\/831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/8 + c**2\/2 - 203*c\/8 + 441\/4.\nAnswer: (c - 7)**2*(c + 18)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 9*a**2 + 14*a**2 - 8*a**2 to k*a + h*a**2 + q and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 12:47 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10913?\nAnswer: 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15462 minus 2?\nAnswer: 15460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -12 - -23) + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 1. Let g be y(-2). Suppose -4 = -h - 9. Let c be (-4 - 24\/h)\/((-2)\/5). Put 1, c, g in descending order.\nAnswer: 1, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0 + 1\/6*i**4 + 0*i - 4*i**2 + 0*i**3. Let k(f) = 2*f. Give x(k(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -0*w + i - 27, -5*i = -10*w - 22 - 53 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5725 minus -0.1226?\nAnswer: 5725.1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1498, -6916, -15932, -28546, -44758?\nAnswer: -64568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**3 + y**2 - 5*y + 2. Let u be h(4). Is u\/(-9) - (-6)\/27 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:17 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r**3 - 7*r**2 - 7*r - 12. Let i(y) = -57*y**3 - 36*y**2 - 36*y - 63. Let d(x) = -21*a(x) + 4*i(x). Determine d(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4*(-4)\/16). Suppose -a*o = -4, 3*d = 5*d - 2*o + 62. Is -28 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -38. Suppose -t*h + 4*h - 7 = -l, -40 = -4*l + 2*h. Suppose -l*k + 12*k = 45. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925926?\nAnswer: 2, 962963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**5\/20 + u**4\/4 - u**3\/6 - u**2\/2 - 12*u. Give o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/3, -9, 0.3, 8 in descending order.\nAnswer: 8, 0.3, -17\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 7. Let j be a(-5). Suppose 2 = 3*h - m, -7*h + 3*h + j*m = -6. Suppose h = -5*d - 52300300 + 4800300. Round d to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 bigger than 2530776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 27724857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -756 + 1?\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.138*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 9*j**2 - 22. Let x(p) = 1449 - 1449 - 2*p**2. Calculate d(x(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29119\/6 - 63067\/13. Calculate the common denominator of d and -44\/21.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91756386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*y - 214*y + 3*d = 27, -y = -d - 3 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*2\/(-5))\/(3\/(-15)). Suppose -4*a - 5 = 4*k + 3, 5*k - 4*a - 26 = 0. Sort k, -4, l, -3.\nAnswer: -4, -3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 501, 750, 999, 1248, 1497?\nAnswer: 1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c2 + -c7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93634.2 decades in centuries?\nAnswer: 9363.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -i + 5*a, -2*i + 5*a - 9 = 3. Let k be 17\/34*(-1 - i). Solve k = -u - 5*z + 8, -4*z + 16 = -4*u - 0*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4342 - 4307. Solve -3 = -v*d + 32*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {u: 2, i: 1, w: 1, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from vpvppcckkkblv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -18. Let u(t) = -3*t - 6. Let k(a) = a + 1. Give z*u(b) + 5*k(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2114)\/(-604)*2\/28.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-8)*48\/108. What is the closest to -1 in -5, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43900*m**3 - 33694*m**3 + 2*m + m**2 - 5*m**2.\nAnswer: -77594*m**3 - 4*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/5 + 3624372*u\/5 + 1642009049298\/5 = 0?\nAnswer: -906093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 2*q + 56 = -11*n, 2*n - 30 = 5*q. Sort n, -15, -4 in decreasing order.\nAnswer: n, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -1478ca?\nAnswer: 1478cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1303 - -1309. Let n be ((-567)\/(-360))\/9 + 1\/5. What is the nearest to -1 in r, n, -9, -5\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6696 - 0.1696. Let i = 0.07 - 0.16. Sort 5, 1, i, a in descending order.\nAnswer: 5, 1, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94 or 69?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95130813.\nAnswer: 3, 53, 598307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077153783.\nAnswer: 3, 359051261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 1513\/153)*-2*(-9)\/(-30)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34668 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/837? (a) -0.3 (b) 1\/4 (c) 1 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let l(s) = -2*s. Calculate -3*l(v) + 6*z(v).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 7*t + 3. Let b be j(-7). Let q(n) = 4*n - 3*n - 3 - b*n + n. Give q(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.2, 0.4, 6\/11, -2.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 675\/125 + 7\/((-140)\/8) + 12679 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -2 + 4 + 4 - 2 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-6 - -1 - (11 + (-13 - 6)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 3, l: 4, x: 2}. What is prob of sequence xl?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:28 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1861 = -5*l - 1816, -3*l - 2093 = -5*z. Calculate the highest common factor of z and 689.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*z - 204 - 56 = 0. Let i(a) be the first derivative of 0*a**3 + 0*a - 24\/5*a**5 + 3\/2*a**2 - 13 + 0*a**z. Find the second derivative of i(y) wrt y.\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + sqrt(68)\/(2*sqrt(8)\/sqrt(2)))*-6.\nAnswer: -29 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4824072, -4824073, -4824074, -4824075, -4824076?\nAnswer: -4824077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, v: 7}. Give prob of picking 3 v and 1 e.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 63*q**3 - 373*q**2\/2 + 66*q - 2. What is the derivative of s(r) wrt r?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228 + 70*x - 228 + 456 - 83*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**2 - 9*x + 20. What is s(2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 25\/2*d**3 + 35\/12*d**4 + 0 - 1\/12*d**5 - 50*d**2 + 0*d. Factor s(z).\nAnswer: -5*(z - 15)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -6*j - 18, -3*j - 3*c + 22 = 31 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - v**2 - 4*v - 1. Let q be h(3). Let r(y) = 9*y + 6*y**2 - 4*y**3 + 5*y**3 + q - 4*y. Does 5 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -12, -17, -22?\n\"Answer: -5*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 3 (b) -2 (c) -14 (d) -9\/14 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s + 21 = 19*s. Let a be 2 + 4\/(-8)*(s - 0). Suppose c - 4 = -0*c. Which is greater: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29715269 divided by 1747957\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.119 (b) 23\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 22 = -189*k + 192*k, -u + 4 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18816 divided by 6272.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18 + -25)\/(1\/(-15)). Let p = -140 + y. Let c be -5 + 7\/(p\/(-117500025)). Round c to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000101011001 (base 2) to base 10.\nAnswer: -4441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 11*g + 7 - 10)*(2*g - g - 2*g) in the form n*g + m + l*g**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -549*i - 421. Let t be z(-4). Calculate the highest common factor of 71 and t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142746446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73900 and 13833341.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**3 - 8*z**2 - 3*z - 3. Let h(w) = 23 + 15*w - 7 + 25*w**2 + w + 15*w**2 - 20*w**3. Let d(s) = 3*h(s) + 16*l(s). Solve d(g) = 0 for g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, 4, -1 in descending order.\nAnswer: 85, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 1, j: 1, a: 1}. What is prob of sequence alpa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96426, 386509, 870250, 1547649, 2418706, 3483421?\nAnswer: 4741794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 7*n. Let t(l) be the third derivative of l**6\/120 - l**4\/24 + 292*l**2. Determine 3*q(a) - 21*t(a).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4 - 3*l**3 - 263*l**2 - 117*l + 2?\nAnswer: 12*l**2 - 18*l - 526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0 + 0 + 2*g**2. Let w(d) be the third derivative of -13\/60*d**5 + 21*d**2 + 0*d**3 + 0*d + 0 + 0*d**4. Give q(w(r)).\nAnswer: 338*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 6*o - 3. Let i be l(-3). Let j(d) = -d - 3. Let y(x) = -x - 4. Let b(s) = -7*j(s) + 5*y(s). Let g(w) = -3*w - 2. What is i*g(m) + 10*b(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3573)\/(-15)*(4 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 533*b - 70264. Determine p(-239).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isssi. What is prob of picking 1 i and 1 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 z when three letters picked without replacement from {u: 1, r: 1, z: 2, i: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3154 divided by 38?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 + -35540?\nAnswer: -35603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13847574 is divided by 218?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21621*r**2 + 40*r**3 - 21621*r**2.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 1, k: 2, p: 6, u: 10}. What is prob of picking 1 u, 1 k, and 1 p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let o = -8 - -10. Suppose -7 = k - q*i - o*i, -2*i - 8 = -4*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byb when three letters picked without replacement from {n: 1, y: 6, f: 5, c: 3, b: 5}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**5 - 648*k**3 - 1288*k**2 wrt k.\nAnswer: -180*k**2 - 3888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000478 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 436 + -249. What is the highest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3932789 divided by -80261\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*j - 72, -5*c - j + 4*j = -122. Suppose -2*t + 65 = -19. Calculate the remainder when t is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -12206*y - 463785. Calculate u(-38).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -681.\nAnswer: 10\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5107 - 5107.3. Suppose -4*c + 6 + 10 = 0. What is the second biggest value in m, -0.2, -4\/7, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 5*k**4\/4 + k**2 + k - 109. Let u(d) = -6*d**3 + d**2 - 3*d. What is -3*a(v) - 2*u(v)?\nAnswer: -3*v**3 - 2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73\/3762295 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 13*a**2 - 10*a + 28. Let o be s(-12). Solve 4*d - 3*t = -o, 3*d - 12 = -3*t + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-13926)\/(-4248) - (-2 - 7\/(-4)). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414.5 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 27*o - 277 + 166 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12192\/(-174244)*7\/(-4).\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2166 + -2163. Solve 3*x - 4*l - 12 = 0, 5*x + u*l + 9 = -0*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 9*z + 26*z - 3*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2\/4 + 128973*h\/4 - 5226687\/2 = 0.\nAnswer: -129054, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14538737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -112, -127, -142, -157?\n\"Answer: -15*l - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 13 = 3. Suppose a*x - j = 4*j + 115, 2*x = -j + 37. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(208) + -1 - ((-1*sqrt(104))\/sqrt(2))\/sqrt(4).\nAnswer: -2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3744\/(-336) - (-5)\/35?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727722115?\nAnswer: 5, 145544423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -581, -582, -583?\n\"Answer: -u - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -304 - -300. Let z = -1 - 0. Is z > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33417 is divided by 86?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 + 5*j**2 - 5*j + 5. Suppose 0 = 4*p - 3 - 5. Let t(f) = -f**3 + 2*f - 3*f**p + f**2 - 4 - 2*f**3 + 2. Determine 2*r(n) + 5*t(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 777?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.59974 + 11.4. Let n = 0.2 + t. Round n to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 0 - 2*a**4 + 1\/60*a**5 - 4*a**3 + 0*a + 10*a**2. Differentiate p(n) wrt n.\nAnswer: 2*n - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - c - 9 = 0, 143*h - 5*c + 3 = 284*h - 137*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 349425 and 2873050.\nAnswer: 25857450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6042 (base 8) to base 11.\nAnswer: -2374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.026*-0.48.\nAnswer: -0.01248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5409855 to the nearest 1000.\nAnswer: 5410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = -7*w - 316. Let p(n) be the first derivative of 2 + 0*n**2 + 2*n**3 - 1\/4*n**4 + n. Calculate p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**1*q)*q*q**(-28))**(-1\/21))**(2\/9) assuming q is positive.\nAnswer: q**(58\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-1)\/(-158))\/(114\/24*98\/931).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-2) + (15\/1)\/(-5). Suppose -6 = w*y - 10*y. Solve -2 = m - y*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - f**3 + 2271 - 5647 + 2202 + 1699.\nAnswer: -f**3 + f**2 + 525","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 455\/1092 + (-2)\/6.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1900, 1902, 1906, 1912, 1920?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) - (3 + sqrt(1331))) + -3 - sqrt(1331)*1*-4) + 4)**2.\nAnswer: -176*sqrt(11) + 21300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 14. Let k be 20 + -3 + (w - 3). Let m = k - 3. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4368\/72)\/14)\/(2\/((-6)\/(-1))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2) - sqrt(10)\/(sqrt(20)\/sqrt(4)) - (0 + sqrt(4)\/sqrt(2) - sqrt(2)) - (5 + -2 + sqrt(288))))**2.\nAnswer: 72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - -9. Let s = m + -7. Suppose 0 = 5*w - 5*r + 20, 5*w - 4*w + 4 = -4*r. Which is the biggest value? (a) w (b) -1\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-27 - (-10 - -19 - 18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pph when three letters picked without replacement from {p: 2, h: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.066 * 2\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -2)*3\/(-9). Suppose -2*t - 752 + 2532 = 5*r, -c*r + 2681 = 3*t. Suppose 5*u = t + 750. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5 - 78*r**4\/11 - 24*r**3 + 1168*r**2\/11 + 4464*r\/11 + 3744\/11 = 0.\nAnswer: -2, 6, 78\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 9 + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 84*j**3 + 2*j**2 + 4*j - 180*j**3 + 4 + 87*j**3. What is the tens digit of l(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -95*a**4 + 7*a**2 - 751*a + 2. Let g(k) = -93*k**4 + 8*k**2 - 752*k + 3. Let m(v) = -3*b(v) + 2*g(v). What is the second derivative of m(c) wrt c?\nAnswer: 1188*c**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 7*r + 3. Let p be x(-8). Suppose 10*m - 4 = p*m. Let w be 2 + -5 + 8\/m. Let g(o) = 9*o. Let q(f) = -10*f. Calculate w*g(u) - 4*q(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**3\/3 - 4*r**2 + 10*r + 1. Let m be o(7). What is the derivative of -1 + 0*t + 2*t - m*t wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2187 and 648.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -211 in -0.4, -5, 0.03, -1\/2, 0.04, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = 7*l + 5*d + 55, -39*d = 25*d - 59*d - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 803\/3 - 820\/3. Is x greater than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640834?\nAnswer: 2, 320417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 28*y - 84. Give l(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(112)*-2)**2 - ((sqrt(126) + sqrt(126)*1)\/sqrt(6))\/sqrt(3)) + -5.\nAnswer: -2*sqrt(7) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from ppwwwppip.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-4)*z\/((z*z*z**(-9)*z*z)\/z*z)*z**(-1\/2)*((z**(-9)\/z)\/z)\/z*z assuming z is positive.\nAnswer: z**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52041578?\nAnswer: 2, 26020789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 27, -32.\nAnswer: -32, 0, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**3 - 223372*m**2 + 102998720*m - 11922877184 = 0.\nAnswer: 232, 55379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006116 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = -2. Let h be y\/(-3)*6\/(-11). What is the nearest to -1\/2 in 3, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 1514, 3433, 6130, 9611, 13882, 18949, 24818?\nAnswer: 31495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4954017*f*g**3 - 76*f*g**2 + 107*f*g + 2*f + g**2 + 29*g wrt g.\nAnswer: -29724102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -2\/3*g**3 - 6 + 5*g**2 + 0*g - 5\/24*g**4. Let t(u) be the second derivative of f(u). Differentiate t(w) with respect to w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6 + 22*i - 3 - 39 - 27*i. Let l = 3 + -11. Let b be q(l). Solve -u = -b*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -205 + 6 + 12*p - 120*p**2 + 180*p**2 + 791*p**2 wrt p.\nAnswer: 1702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 6.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228043682?\nAnswer: 2, 114021841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13753003 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 239*h**2 - 4745*h + 118. Give j(-22).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) + (-160)\/12. Let f = -0.029 - -5.029. What is the biggest value in i, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972 a factor of 517104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 - (-10 + (-25 - (12 + -23)) + 37)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -32.88825681525?\nAnswer: -16.88825681525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/4, -0.6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -26, 1, -41, 0, 2, -3 in decreasing order.\nAnswer: 2, 1, 0, -3, -12, -26, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23499910 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 14 - 3. Let a = 11 - y. Solve a = 2*l + 4*u - 4 - 22, -3*l = 5*u - 34 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3407, 13622, 30661, 54530, 85235, 122782, 167177, 218426?\n\"Answer: t**3 + 3406*t**2 - 10*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-4)\/8*-20. Suppose -t = 5*x - 30. Sort x, 5, 3.\nAnswer: 3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2*3 + (-9 - 2 - -9) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-54 - (-3 + 4))\/(-1). What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 11, -2.\nAnswer: -40, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) -2\/7 (b) 23 (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + 6*(sqrt(1300) - -2*(sqrt(1300) + -2)))*3)**2*-2.\nAnswer: -273342600 + 5832000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 26 = -2*j. Let t = 114 - 112. Let m be -3*t\/24*1. What is the nearest to 2\/5 in j, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2, 0.5, -25\/194, 4\/9, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -3\/5 (c) 0.01 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*l - 3897, -5*l + l - 2*d = -5196. Let o = l - 655. What are the prime factors of o?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.5083 rounded to one dp?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144429 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308159.\nAnswer: 17, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123505143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 - 6*a**4 - 3*a**4 + (3 - 3 - a**4)*(-2 + 4 - 3))*((0*a + 2*a - a)*(-1 + 2 + 0) - 5*a + 2*a + 4*a + a + 0 + 0).\nAnswer: -21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 6) to base 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -5441?\nAnswer: 5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 7*s**2\/2 + s + 1. Let k be l(8). Let p be k\/12 + 5\/20. Solve 0 = -5*g - 5*i + p, 0 = -4*g + 2*i - 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*w + w**2 + 30*w - 4*w**2.\nAnswer: -3*w**2 + 58*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1160, -883, -606?\n\"Answer: 277*n - 1437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3509 rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.059 + -7.541. Let x = p - -7.929. Round x to 2 decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.181484 millimeters?\nAnswer: 0.003181484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 p when four letters picked without replacement from igygpgygippgi.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.1, -7, 0.078, 3, -2\/19?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**3 + 21*j**2 + 16*j - 2. Let m(s) = s**3 - 3*s**2 + 1. Let p(z) = -3*b(z) - 6*m(z). Factor p(o).\nAnswer: 3*o*(o - 16)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73807310 to the nearest integer?\nAnswer: 8591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 3*h - 3*f, 4*h = -5*f - 83 + 348. Suppose 0 = -16*p - 47*p + 1260. What is the highest common divisor of p and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54527343 - 1.7\nAnswer: 54527341.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let m(g) = -785*g**2 - 790*g + 2. What is m(w(q))?\nAnswer: -3140*q**4 - 1580*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - -4968250?\nAnswer: 4968234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 20*o**2 + 146*o - 4. What is g(-5)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.4 - 24.9. Let z = 0.04 + -1.64. Let a = z - h. What is the closest to -0.1 in 0.1, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -g - 2*d, 3*g + d - 360 = 4*d. Suppose -110*w + 1477 = -19615 + 4922. Let p = w - g. Solve 4*u = 4*r + 16, r + 3*r = -4*u - p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38.2 and -2.3.\nAnswer: -87.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 8*y + 17*y + 11*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7490 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 359736 and 13836?\nAnswer: 359736","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11670 and 8533104.\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 3*j + 7. Let t be r(-6). Let h = t - -19. Suppose h*i - 7*i - 113 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 15.102.\nAnswer: 30.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -27. Let b = h + -19. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6114552 and 96.\nAnswer: -586996992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 - w**5 + 3*w**3 + (-115*w**3 + 3717*w**2 + 22 - 22 - 3690*w**2)*(2*w**2 + 3*w - 3*w).\nAnswer: -231*w**5 + 54*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 92835*f - 3 + 4*f**2 - 92842*f - 2. Determine a(6).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6784?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 625867766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**3 - 2*p**2 + 2*p - 1. What is the least common multiple of ((-60)\/24)\/(2\/(-4)) and k(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = 3*z. Let t(b) = 7*b**2 + 2*b. Let s(m) = -8*m**2 - 3*m. Let q(i) = z*s(i) - 5*t(i). Let y(a) = 7*a**2 - 5*a. Give 5*q(w) + 2*y(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 53414.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83.74 - -83.34. Which is the closest to -0.4? (a) 1\/6 (b) y (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/2183826 and 58\/92812605.\nAnswer: 185625210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*f - 9, 3*f - 14 = -3*u + f. Suppose -39 = -11*k - 39. Solve -u*s + s = k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(1\/(-5)*935\/(-2618))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*j + 1532, -2*j + 8 = 12. What is the units digit of u + (-3 - (-10)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from xxghxxxxhhhxh.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 3*b + 140. Let g = 30 - b. What is the lowest common multiple of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1.2, 2, 1\/13 in decreasing order.\nAnswer: 2, 1\/13, -2\/9, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.25125 - 5.66. Let v = w - -0.402. Round v to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60645 - 32?\nAnswer: -61010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 1 = 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 15*y**2 + 14*y + 14. Does 11 divide z(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000036455 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -758*x + 6865. Let q be a(9). Let g(i) = -i**3 - 3*i**2 + i + 4. Let n be g(-3). Calculate the greatest common factor of n and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56448163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34482?\nAnswer: 2, 3, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 628, 0, -2, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/3 - 8*z**4\/3 + 23*z**3\/3 - 28*z**2\/3 + 4*z = 0. Calculate z.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3154830*u**2 + 7782115*u**2 + 9822949*u**2.\nAnswer: 14450234*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -5, 4701 in descending order.\nAnswer: 4701, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - -34. Let h = f - 38. Suppose 5*m + h = 4*b, m + 4*m + 3*b + 2 = 0. Let k(y) = 17*y**2 + 1. What is k(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -6, 0, 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i. Let x(q) be the third derivative of -q**4\/12 - 10*q**2. What is x(u(o))?\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10984475.2400532 + 10984477. Let l = a + -1.76. What is l rounded to six decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y + y**2 - 5*y + (y + y - y)*(0 + 0 - 2*y) + 20*y - 20*y + 12*y**2 + (-3 + 1 + 3)*(y**2 - 2*y**2 + 2*y**2) to the form w*y**2 + u + t*y and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - -3) - (-5 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2994*b - 1053770. Determine m(352).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29488924 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 6*m**2 + 2. Let b be d(6). Let p(r) be the third derivative of 11*r**4\/24 + 2*r**3\/3 - 10*r**2. What is the tens digit of p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -269*i**3 + 335?\nAnswer: -807*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56221 - -77?\nAnswer: -56122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 + 5 - 3 + p - 15 + 4*p**2. Let z be m(-5). Let j be (4 + -11)*(5 + -6). What is the highest common divisor of z and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3891810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104684 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3024\/(-924)*(-15)\/12*11.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - 1) - (3 + 21 + -14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o + 2*m + 102, -25 = 5*m. Solve -4*t + o - 7 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 14*k**2 + 46*k - 4. Determine f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/((-4)\/1148676). Let j = 234723 + r. What is j rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r + 87*r**2 - 1 - 169*r**2 + 83*r**2. Give q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -7.135, 0?\nAnswer: -7.135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus -119633381781?\nAnswer: 119633381781.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 32*k = -4*z + 17, 5*k = -3*z + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*l - 12, 23 - 17 = 2*l - 2*r. Solve -3*o = -12, -4*a - 4*o + 19 = -l*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92536036 is divided by 1449?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 - 3 = 0. Let p(c) = -4*c**3 + 9*c**2 + 6*c - 8. Suppose 43*l + 897*l - 5640 = 0. Let m(r) = 3*r**3 - 8*r**2 - 5*r + 7. Calculate l*m(d) + o*p(d).\nAnswer: -2*d**3 - 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48147049*c**4 + 2068*c**2 - 5*c - 661.\nAnswer: 1155529176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17506 is divided by 1750.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 12. Suppose -t*a = 3*b - 2, 3*a - 2*a - 12 = 5*b. Suppose 4 = a*m - 4. Solve 4*u - m = 4*r, u - 4*r - 1 = -2*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 2*m - m - 4. Let v be h(15). Let z(b) = -b**3 + 13*b**2 - 10*b - 8. Is z(v) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463280105?\nAnswer: 5, 92656021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (50 - -5)*-2*(-2)\/(-204). Let h = 7\/17 + y. Which is the smallest value? (a) 5 (b) -1\/3 (c) -5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(11) + sqrt(11) + 0)**2 + (sqrt(44) + -1)**2)*-6.\nAnswer: -588 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**3 - 1 + 14*p**3 - 124*p**2 + 126*p**2 to the form y*p**3 + a*p**2 + g + j*p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 27*r\/2.\nAnswer: -r*(r + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 11?\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -33294*h**2 - 2199*h + 2. Let o(j) = j. What is c(o(y))?\nAnswer: -33294*y**2 - 2199*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -21.7. Let q = h + 9.5. Round q to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 17*g - 3. Which is the nearest to -8? (a) -4 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, e: 1, f: 2, t: 4, q: 2}. What is prob of picking 1 q and 1 y?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404 by -2504.\nAnswer: -101\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 1:56 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - 2) - (15 + -17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.011599.\nAnswer: -0.0057995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (408\/(-20))\/((-1863)\/(-3105)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -5, 0, -1, -43, -499 in ascending order.\nAnswer: -499, -43, -5, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 37 = -5*m. Let i be (-16)\/12 + (-112)\/6. Let s = m - i. Calculate the least common multiple of 1 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 138.3? (a) 1505 (b) 2\/15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4068650702.\nAnswer: 2, 2034325351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by 6\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2675 is divided by 64?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b7 (base 14) to base 6.\nAnswer: -11033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 - 2*j - 170.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(45))**2 + sqrt(40)\/(2*sqrt(8)).\nAnswer: 25*sqrt(5)\/2 + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 49 = 3*m, -42 = 5*q - 16*m - 207 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -175690620*s - 231473008 wrt s.\nAnswer: -175690620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 131876473?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.1 - -24. Let m = -1.9 - u. Let t = 0.2 - m. Which is the nearest to t? (a) -3\/5 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 36*c - 469 = 0. Is c a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z + 32. Let k be p(5). Suppose k*q + 4 = -4*o + 28, -5*q + 4*o = -4. Solve 0*x - q = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 4, m: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 8:18 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = c - 5, -5*m + 4*c + 30 = 0. What is the smallest common multiple of m and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.79 - -34.31. Let d = -35 + y. Which is the nearest to 0? (a) d (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*-5*(-6)\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2 = -3*r, -j + 2*j + 5*r = -6. Let l be 1 + j + 4 + -2. Solve 11*n - 20 = l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3496c7 (base 14) to base 3\nAnswer: -10101002210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*c + 33. What is the remainder when (-696)\/(-16) + 27\/(-18) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 4 + -11 + (2 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {z: 3, l: 5, y: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q - 2. Let b be p(1). Solve -8\/15*c**b - 2\/15*c**3 - 4\/15 - 2\/3*c = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s + 3. Let y(z) = 5*z + 20. Let o = 46 + -51. Let a(f) = 4*f + 13. Let q(n) = o*y(n) + 8*a(n). Determine -2*q(b) + 3*r(b).\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22248 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 83, -105, 2\/35, 8\/5, -1, -3?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042602711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 4. Let l(k) = 2*k + 9. Let b(p) = 4*l(p) - 9*n(p). Let h(w) = 73*w**2 - 16*w**2 - w**2. What is b(h(o))?\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -176*q - 7. Is v(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.83 and -8?\nAnswer: 22.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*k**2 + 3*k**2 + 12*k**2 + 2*k**2 + (768*k + 11*k**2 - 768*k)*(-1 + 1 - 2) to the form y + r*k + h*k**2 and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {f: 3, r: 2, b: 2, j: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -832128 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 7. Let u(p) = 7*p**2 - p + 14. What is 5*o(v) - 2*u(v)?\nAnswer: v**2 + 2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*b + 6, 6*b - 9*b = 12. What is the least common multiple of 36 and (-55)\/22*(r - 2)\/1?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.9 + 17. Let x = 1506 - 1503. Which is the second smallest value? (a) x (b) 8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -1\/2*w**2 + 0*w + 3. Let i(l) = -3*l**2. Give n(i(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1196\/(-66))\/(-2) + (-64)\/1056.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 6*g. Suppose v - c + 4 + 3 = 0, -3*c + 16 = -2*v. Let a be y(v). What is the greatest common divisor of a and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4278903?\nAnswer: 3, 1426301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**25*r*r**(1\/46))\/(r**(-38)*r**(13\/2)\/r) assuming r is positive.\nAnswer: r**(1346\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156053 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000597254083 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53\/116 + -6\/29. Let d be (-26)\/(-40) + 14\/(-35). Factor d + 0*g - j*g**2.\nAnswer: -(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + (1*sqrt(88) - sqrt(88)))\/sqrt(8))**2 - (sqrt(11) + -1 + 2) - sqrt(11)*2*5*-1)*-1.\nAnswer: -9*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - (4 + -2 - 4)) + 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -11399.\nAnswer: -341.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + h**2 - 2)*(0*h**2 + h**2 - 2*h**2) + 4*h**4 - h**4 - h**4 + (2 - 2*h**3 - 2)*(3*h - 4*h + 0*h).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42, -83, -126, -171, -218?\n\"Answer: -w**2 - 38*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 74601\/106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 2. Let m be y(-3). Let l be (-30)\/(-9)*(-12)\/m. Suppose 3*d = -279 + 282. Sort -1, d, l in ascending order.\nAnswer: l, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618642.\nAnswer: 2, 3, 34369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = 0, 2*m = 8*h - 3*h + 578. Suppose -18 + m = j. List the prime factors of j.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003586 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 2. Let l be 10\/6*2\/(-15). Let t = 4\/9 - l. Which is the second smallest value? (a) w (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - ((-14)\/(-12) - 1\/6). Let u be (-3 + h)*(-6)\/(-3). Let k(l) = 9*l**2 + 12*l + 10. Calculate the remainder when k(u) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97306, -194613, -291920, -389227, -486534?\nAnswer: -583841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 11 - 8 - -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 334*b**3 + 2*b**2 + 12*b - 6. Let p be x(-11). Let l = -524951 + p. Let w = l + -230599. Round w to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3813758?\nAnswer: 2, 13, 146683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 4*b - 5*b)*(-296 - 125*b**3 + 296).\nAnswer: -250*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1221*u + 3664. Let z be n(3). Is 2\/52281 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l - 1078 = 48*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4233 = 3*w, -4*f + 1822 + 2431 = w. What is the lowest common multiple of f and 354?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -2)\/(-2 + 1). Suppose g = -0*f - f + 6. Suppose -f*n = -n - 50. Solve i - 2 = -4*v, n = 7*i - 2*i - 3*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-6)\/(-9))\/(4\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28576482 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -2\/13 (b) -0.5 (c) -0.3 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -185, -274, -363?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1034 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*p = 7 - 3, -3*p + 19 = 2*r. Let y(o) = -o**3 + 7*o**2 + 4*o + 3. What is y(r)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 498. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 0*k - k**2 - 3*k + 3*k**2. Let u(v) = 3*v. Let l be u(1). What are the prime factors of y(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 4070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 621*g + 11. Let w be y(9). Let u(k) = -85*k**2 - 2*k - 4. Let l be u(3). Let m be (0 + l)*w\/(-7). Round m to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s - 28058 + 144779 = 11*s. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3382, 6936, 10476, 13996, 17490?\nAnswer: 20952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {i: 2, w: 1, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfp when three letters picked without replacement from {p: 1, f: 1, v: 2, k: 1, h: 1, y: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 1194557190.55.\nAnswer: 1194557190.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1947, -1945, -1943, -1941, -1939, -1937?\nAnswer: -1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*g**2 + 96 + 16*g.\nAnswer: 2*(g + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/13*3)\/((-6)\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*y = 171*y. Suppose 23*m - 25*m + 984 = y. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 (base 7) in base 8?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 23840.\nAnswer: 166880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(133) - (sqrt(133) + sqrt(133)*-2))*3 + sqrt(133) + sqrt(133))\/(sqrt(7) - (-2*sqrt(84) + sqrt(84))\/sqrt(12)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 7. Let s be i(-6). Suppose -s = c - 6, 3*c + 35 = 5*o. Solve 0 = 4*n + 12, 0 = -4*u - n - o - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h + 108. Let w = 56 - h. Calculate the highest common divisor of 30 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124402210 (base 5) to base 7.\nAnswer: -5200636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqlgqpdgli. Give prob of picking 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -43, 2, 0.92, -1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2337103 * 75\nAnswer: 17.5282725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-1 + 3)) + (-8 - (6 - 8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 4*l - 2. Let q be j(5). Suppose 0 = 3*w + q*w - 516. Calculate the remainder when w is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (4 + (-74)\/9). Which is the nearest to -1\/2? (a) h (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.169 - 40.069. Let p = d - -39.7. Which is the nearest to 1\/2? (a) -3\/4 (b) p (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 3*w - 3. Let r be g(4). Let i = 16 + -29\/2. Let p be (-202)\/505*-2*(-2)\/8. What is the nearest to r in p, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(110) - -1*sqrt(110))*-4)\/(-1*sqrt(90) + sqrt(10) + (sqrt(10) - (2*sqrt(90) - sqrt(90)))))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -507 + 357. Let l = n + 147. Let j = -0.6 + -1.4. Sort l, j, 3\/4, -4.\nAnswer: -4, l, j, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0.1. Let n = 0.02 - 0.42. Which is the nearest to -2? (a) 2 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose -z + 4*u + 98 = g, -z + 3*z - u = 189. Suppose 0 = j - 3*j - 4*q + 32, 4*j - 2*q = z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -10. Let r = a - 24.2. Let u = 2 - 2.4. Sort u, r, 6.\nAnswer: u, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001001001011001000 (base 2) to base 15\nAnswer: 5dc15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0. Let t = -38.5 + 38. Which is the closest to 1? (a) f (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 893480*i**2 + 49892369892*i + 199583775504.\nAnswer: 4*(i - 111687)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 4*c**2 + 3*c + 7. Let b be l(4). What is the greatest common factor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19894 (base 12) in base 16?\nAnswer: 92b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 4. Let q be a(0). Let k = q - -6. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011914 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-6)\/v*v)\/v**14)\/(v*v**(-2\/15)*v*v*v\/v**1))**(-3\/11) assuming v is positive.\nAnswer: v**(343\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63567 + -181.\nAnswer: 63386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 12. Suppose -4*p + 59 = -3*c - 13, -o*c - 5 = p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 1.0575.\nAnswer: 6.0575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-1\/6)\/g))**(-34))**(-28) assuming g is positive.\nAnswer: g**(6188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12*n + 90 = 0. Let z be -12*(-3)\/(n\/2). What is the highest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13193748 divided by -379.\nAnswer: 34812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 8686.9007?\nAnswer: -4343.45035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42114213 (base 5) to base 14.\nAnswer: 90bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - d**2 - 6*d + 21. Give q(3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**3 - 15*u**2 - 7*u - 2. Let c be v(-4). Find the common denominator of c\/16 - 30\/(-20) and 11\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55150, -5, 1 in increasing order.\nAnswer: -5, 1, 55150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20) + 0)*(-3)\/1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 <= -1054\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2604, 5219, 7864, 10557, 13316, 16159, 19104, 22169?\n\"Answer: 3*a**3 - 3*a**2 + 2603*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1713*h + 78045 = -1834*h. Which is smaller: h or -643?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from jligjbgcljbj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**(-29))**(-48) assuming j is positive.\nAnswer: j**928","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 11)*9\/12. Let r = -23 - -25. Put a, 4, r in decreasing order.\nAnswer: 4, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 33940 = 2*p - 14*u, 50908 = 3*p - 4*u. What are the prime factors of p?\nAnswer: 2, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -255511?\nAnswer: 4\/255511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-7 + 20)) + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 5:48 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-6)*-2*(-2780787)\/298?\nAnswer: 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -738*u**2 - 1192 wrt u.\nAnswer: -1476*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**7\/35 + 13*y**3\/6 - 14*y**2. Differentiate o(x) wrt x.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/7 - 15270020*z**3\/7 - 29146704120066*z**2\/7 - 58293362430080*z\/7 - 29146673580032\/7 = 0.\nAnswer: -3817504, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 10*g - 14*g + 263369996 = 0, -3 = 3*g. What is c rounded to the nearest one million?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*(sqrt(891) + -3) - (-1 + -6*(sqrt(891) + 3 - sqrt(891))))**2.\nAnswer: 216*sqrt(11) + 1035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/14*(-8737288)\/100660?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -414 + 421 + 21 + 0 + -73.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002118912293 to seven dps.\nAnswer: -0.0021189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 43 = -33 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4051 - 16437 = -11*c. List the prime factors of c.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -922 - -922.000003609. What is d rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:53 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a - 8. Suppose 5*x - 3*b = 62 + 2, -22 = -x - a*b. What is the remainder when 54 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -50, -123, -218, -329?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3) + 2 + -3 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 503 = 83. Let c be 30\/v - (-1 + 32\/(-14)). Let g be (44\/(-6))\/((-1)\/c). Solve -3*z + 6*h - 2*h + g = 0, -2*z + 5*h = -24 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 33241.75 microseconds?\nAnswer: 33241750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 1 - (-3)\/(9\/6). Suppose -2*u + 30 = -6. What is the tens digit of (17 - g)*12\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -25*g**2 + 19*g + 8. Let n(i) = 66*i**2 + 13*i - 128*i + 21*i + 58*i**2 - 41. Let h(o) = -11*b(o) - 2*n(o). Factor h(q).\nAnswer: 3*(q - 1)*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 21*r**2 + 14*r - 1. Let a(d) = 17*d**2 + 14*d - 1. Give -5*a(k) + 4*o(k).\nAnswer: -k**2 - 14*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312911650 divided by 6258233.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 3. Suppose 73 = -29*b + 218. Let z(f) = -1. Let a(d) = -16*d - 1. Let y be (-2 + 6 + -3)*3\/(-3). Let p be a(y). What is b*r(n) + p*z(n)?\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:07 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 32*x + 11*x - 7*x + 0*x - 5. Let j(m) = -2. Let c(u) = -4*j(u) - k(u). What is the derivative of c(w) wrt w?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p. Let s(a) = 12*a - 1 + 1 - 4*a. Give s(x(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(192) - (sqrt(192) - (sqrt(192) + 2 + sqrt(192))))**2 + 0 + (sqrt(192) - (sqrt(192) + 1))**2 + 0.\nAnswer: 128*sqrt(3) + 1547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -19*u + 20*u + 2, 3*u + 8 = 4*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17215 is divided by 233.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*462.2.\nAnswer: 184.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 1213 = h + 1215, 0 = 5*h + 2*g - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6661392811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d + 31*d + 95*d + 16*d + 161*d + 29 - 31.\nAnswer: 289*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*v**2 - 548*v wrt v?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.6 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 27, 91, 211, 405, 691?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 202.375458.\nAnswer: -1011.87729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66779*q**6 - 4*q**5 + 1174*q**2 - q - 61 wrt q?\nAnswer: 8013480*q**3 - 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 284470298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2949142 and 266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7967159 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -554300 + -2?\nAnswer: -554302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56.6 - -56.72. Is -37 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 788060 and 420?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/32, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60, -887, -1714?\n\"Answer: -827*i + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x - 2. Suppose 11 = 4*a + 7. Let d be j(a). Solve -w + d - 1 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 45*x**2 + 89*x + 13. Let v(l) = 11*l**2 + 22*l + 3. What is 13*v(z) - 3*w(z)?\nAnswer: 8*z**2 + 19*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**4 - 5 + 2*q**2 + 4*q**4 - 8*q**4 + (3 - 4 + 3)*(4*q**4 - 3*q**4 + 0*q**4) + 0*q**4 + 6*q**4 + 0*q**4.\nAnswer: 9*q**4 + 2*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*o**4 - 114*o**2 + 114*o**2 + 0*o**4 + 0*o**4 - o**4 + 2*o**4 + 0*o**2 + 0*o**2 + (-o**2 + 2*o**3 + o**2)*(-o + o - 2*o).\nAnswer: -49*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 3*l**2 - 3*l + 1. Let n be y(4). Suppose -3*s + n = -10. Let g(v) = 9*v - 4. What is the units digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-33)\/o)\/o**7 assuming o is positive.\nAnswer: o**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((2 + -5 - -15) + (-162 - -158)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 21 = -3*q. Solve 0*t + q*t = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 18 = 5*m, -3*b = -2*m - b. Suppose -4*f + 244 = -2*c, 0*f - 189 = -m*f + 3*c. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/(-4)*(1 + -2). Let s = -406 - -415. Suppose -r + 62 = 5*w, -11*r - 2*w + 84 = -s*r. Solve 0 = 5*j - b + r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9255 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -33 times 1308\nAnswer: -43164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 939, -3, 0.6, 1 in descending order.\nAnswer: 939, 1, 0.6, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52 (b) -5 (c) -198375\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -569*f + 4062 + 3335 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/723393 and 31\/44.\nAnswer: 2893572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l + 1. Calculate h(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(17))**2 + -4 + sqrt(1377) + 1.\nAnswer: 14 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*r + 5 = 0, 7*r - 5*r = 3*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/(c**(-4\/9)*c)*c))*c)\/c**(-11\/4))**(-9))**(-12\/19) assuming c is positive.\nAnswer: c**(561\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 648035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.8? (a) -5\/3 (b) -1 (c) -0.3376 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5 + 6*n + 0*n**2 + n**3 + 5*n**2 + 2*n**3 - 4*n**3. List the prime factors of a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32222*s - 247 = -32235*s for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528126 divided by -5?\nAnswer: -1528126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 3*h + 1 - 13, 2*h = 5*z - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.039031 and 0.043.\nAnswer: 0.003969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -501450 (base 8) in base 6?\nAnswer: -3310132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -16.7. Let h = -5 - -5.4. Let p = h + f. Which is smaller: -2\/3 or p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 11. Let k(j) = -j - 1. Let m be k(l). Let x = 36 + m. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 12:50 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 800962530?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161193839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -37529200 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28967 is divided by 94.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1 - 9*j - 1. Suppose -m - 2*m + 12 = 0. Suppose 3*y = m*s - 21, 2*s + 8 + 27 = -5*y. Let q(a) = -13*a. Calculate y*g(w) + 5*q(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i = -49627 - 10258. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258.5 - 254. Sort 2, 0.1, j in increasing order.\nAnswer: 0.1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -28, -29, -30, -31?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-42) + 9\/21. Suppose -w + 4 - 9 = 0, -4*y + 4*w + 312 = c. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204712377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.091 - -0.148. Let a = 0.745 + -1.302. Let k = h + a. Which is smaller: k or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - y - 4 + 2*y)*(-5 - 1 + 4)*(-4*y - 5*y - 5*y).\nAnswer: 28*y**2 - 84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30171 divided by -10057?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 259 - -5?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 58. Let a be (-2)\/6*(24 + n)\/3. What is the units digit of 110 + a - (2 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b. Let x(s) = -225*s + 1. What is x(d(u))?\nAnswer: -900*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - 40*b + 107. Calculate s(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5546 - -11733. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 + (7 + -21)\/2. Is 10 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6)*(-5 + 8). Let v = j + 3. Let -4\/7*n + 2\/7 + 0*n**v - 2\/7*n**4 + 4\/7*n**3 = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*l - 175*l + 1065 + 1782 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*y - 70 = -30, 10 = 5*y. Let x(b) = 4*b + 45. Let s be x(h). Put -1, 16, s in decreasing order.\nAnswer: 16, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4029284 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27286, -55447, -84488, -114409?\n\"Answer: -440*l**2 - 26841*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 882 (base 15) to base 7\nAnswer: 5414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -251486528*h**2 - 118488783*h?\nAnswer: -502973056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/2 of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3652404?\nAnswer: 2, 3, 7, 43481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 14 = 936*f - 934*f, 2 = -4*f + 3*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {h: 1, u: 1, e: 1, d: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*c + 2. What is the remainder when 283 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-2*(-4 - 0). Suppose 4*q - 12 - x = 0. Solve 0 = q*o - 1 - 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1504 + -1506. What is the third smallest value in -20, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120 or 362\/3?\nAnswer: 362\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*r = -3 - 17, -3*w = 3*r - 6. Calculate the remainder when (24\/(-15))\/((-2)\/25) is divided by 11 + (0\/3 - w).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/31 (b) 1\/17 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, w: 5, p: 1, t: 1, e: 1}. What is prob of sequence tf?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - -365.92. Let z = 399.2 - h. Let b = z - 33. Sort b, 0.5, 13 in increasing order.\nAnswer: b, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/867 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-21))\/((-10)\/(-70))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-644)\/220)*-5*16. Let c = 452\/55 + u. Let d be 2 + 4\/6 + 3\/(-1). Which is greater: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -15*y - 179. Let n(x) = -240*x - 2877. What is -63*i(s) + 4*n(s)?\nAnswer: -15*s - 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/20 - z**4\/2 + 2*z**3 + 17*z**2 + 21*z + 1. Calculate t(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510 and 12885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 20 (b) 4 (c) -1\/144 (d) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-5)\/(15\/2)). Suppose y*r = 7*r + 2. Put -3, r, 4 in decreasing order.\nAnswer: 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.781806 rounded to two decimal places?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2411070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19135823331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4239, 4243, 4247, 4251?\nAnswer: 4255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + r - r)*(-1 + 1 + 2*r)*(9*r - 22*r - 8*r).\nAnswer: -42*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(8)*5 - sqrt(17) - ((sqrt(17) - sqrt(34)\/sqrt(2)) + -1))**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 58. Suppose -7 + 32 = -f. Let q = f - -45. What is the lowest common multiple of j(27) and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6, -1\/6, 2, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001076981386 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 6601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 10. Let j be a(-6). List the prime factors of 1894\/26 + j\/104.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h - 2 + 2*h + 0*h - 10*h. Let n be w(4). What is n rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m + 1510 + 5597 = 0. Is m less than or equal to -329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*b - 56, 2*b - b = 5. Calculate the greatest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 198730222 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1084119 or 1084123?\nAnswer: 1084119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 + z. Let d(m) = -8*m + 1. Let i(t) = -d(t) - 3*p(t). Let s(c) = -c**3 - c. Let y(q) = 2*i(q) + 4*s(q). Let y(l) = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d - 2. Let q(i) = -3*i + d*i + 9 + 2*i. Let f be q(-6). Which is the biggest value? (a) f (b) 3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*-4)\/sqrt(9).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t**4 + 2 - t**4 - t**3 + 2*t**2 - 3*t - 10*t**4 - 6*t**4 in the form w*t + s*t**4 + i*t**2 + q*t**3 + f and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 13) in base 15?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 - 17*p - 58. What are the prime factors of m(-8)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1\/2 (c) -5847\/1505 (d) 0.1 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 663. Let w(j) = 8*j + 4617. Calculate 15*o(k) - 2*w(k).\nAnswer: -k + 711","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-553)\/(-2))\/((-46)\/4 + 11). Which is bigger: v or -554?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 2) + (-150336)\/9744?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*w - 337 + 499 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099136845?\nAnswer: 5, 219827369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + z - 238 - 1292, 0 = 2*z. Suppose -61 = 5*r - s. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-four fifths of a milligram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 284754261 to the power of 1\/2, to the nearest integer?\nAnswer: 16875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 19849, 0, -4 in increasing order.\nAnswer: -4, -0.5, 0, 19849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4636\/3610 + 0 + -2)\/(4\/(-420)). Which is smaller: 76 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -122, -472, -1056, -1874, -2926, -4212, -5732?\n\"Answer: -117*c**2 + c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149214.\nAnswer: 2, 3, 13, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-821 - 14*p**2 - 3*p**3 + 821)*(-25*p + 25*p + 7*p**2).\nAnswer: -21*p**5 - 98*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2851981 * -0.4.\nAnswer: -1140792.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -119.2.\nAnswer: 118.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3455 and -284750.\nAnswer: -281295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83576 - 43417. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*h - 16, 0 = -4*g + 2*h - 4*h. Let q be (-1)\/g + 9\/(-2). Let s be 34\/(-16) + (-3 - q). What is the closest to 1 in 3, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*g**2 - 285149*g\/3 + 3802\/3.\nAnswer: -(g + 3802)*(75*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eelbuepuxeexe. Give prob of sequence pu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 474*o - 960.\nAnswer: 3*(o - 160)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -398\/11 + 36. Let n = 10.7 + -10.5. Sort z, -0.06, n.\nAnswer: z, -0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 255 + -255.00049. Round q to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4924488 centuries?\nAnswer: 0.04924488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 348, 1969, 4676, 8475, 13372?\nAnswer: 19373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 305*m - 323*m + 72. Let i = 6499\/11 - 587. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 71*h - 68*h - 44, 2*h + 4*f = -4. Let v be (-339)\/904 - 3\/h. Which is the closest to 1? (a) -1\/3 (b) 0.38 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3182a3 (base 11) in base 7?\nAnswer: 4216242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 1\/6*u**3 + 0 - u + 0*u**2. Let x(n) = 2*n. Let i(t) = 13*d(t) - 6*x(t). Let k(a) = -2*a. What is k(i(j))?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2595 - 1404. Suppose 10*c - u = -5*z + 13*c, 3*c - 249 = -z. Calculate the greatest common divisor of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-27) + (-75)\/27 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i - 3. Let x be z(7). Let d = x - -11. Let c be (128\/d)\/(4\/(-6)). Let m(q) = q + 1. Calculate m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -92 + 82 + 20\/2. Let u(z) be the third derivative of 7\/40*z**6 + 0 + 2\/3*z**3 + 9*z**2 + 0*z + 0*z**5 + c*z**4. Differentiate u(i) with respect to i.\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) -1 (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/7152 and 29\/62282.\nAnswer: 1494768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192690 to the power of 1\/2, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(700) - sqrt(700)*-2)**2.\nAnswer: 6297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 1434, -8, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let w(d) = 2*d**2 - 4*d. Suppose 3 = -0*m + 3*m. Let y(p) = m*w(p) + 5*t(p). Find the second derivative of y(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3239 = 526*g - 8046 + 765 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -497*a + 473*a + 1896. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129961588050 rounded to the nearest 1000000?\nAnswer: -129962000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 28*z**3 + 50*z**3 - 23*z**3)*(-12 + 12 - 7*z**2).\nAnswer: 7*z**5 - 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55004571 - 4?\nAnswer: 55004567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 253258*g\/5 - 1519512\/5.\nAnswer: -(g + 6)*(g + 253252)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2275, 4516, 6757, 8998, 11239, 13480?\nAnswer: 15721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7150.957 days?\nAnswer: 617842684800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 6*f**2 - 11*f - 4. Differentiate m(a) wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllnlnllnl. What is prob of sequence lnn?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 31171580 to the nearest 10000.\nAnswer: 31170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 39048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 2*v**2 - v + 1. Suppose -5*w - 2*b + 54 = 0, -2*w - b + 13 + 9 = 0. Let c be 28\/(-49) - w\/7. What is s(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 6.603?\nAnswer: -33.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19081 is divided by 681.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25052.9979 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-16))\/(81\/36). Which is the smallest value? (a) 2\/15 (b) -2\/23 (c) 4\/3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - 1) + 2 - (1057 - 1148)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(((-103086)\/(-144))\/83).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - (-32)\/(-6))\/((-22)\/(-3)). Which is the smallest value? (a) 0.09 (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**6\/120 + o**5\/30 + o**4\/8 + o**3\/6 + 3*o**2. Suppose 0 = -2*z + 5*j - 4 - 0, 4*z + 5*j + 8 = 0. What is p(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**5 + 1959934*k**3 + 62784*k**2 - 12*k wrt k.\nAnswer: -120*k**2 + 11759604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*m**3 - 110*m**2 wrt m?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 12. Let x(y) = -y**2 - 30*y. Calculate x(w(b)).\nAnswer: -4*b**2 - 108*b - 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -350378*k**3 + 86*k**2 - 450*k - 3 wrt k?\nAnswer: -2102268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2\/8 + 25545*l\/2 = 0?\nAnswer: 0, 34060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -506825, -506813, -506803, -506795, -506789, -506785, -506783?\nAnswer: -506783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36370, -68855, -101354, -133873, -166418, -198995?\nAnswer: -231610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3\/5 - 2799*i**2\/5 - 870489*i\/5 - 90240693\/5 = 0.\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 268833 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u - 2. Suppose -6*m + u = -3*d - m, 18 = 3*d + 2*m. Suppose -2*l - 3*t + 30 = l, d*t - 20 = 0. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -44*p**2 + 17*p. Let c(u) be the third derivative of -u**5\/4 + u**4\/4 - 854*u**2. Calculate 17*c(d) - 6*n(d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 - 5)*(1 + 1 + 0 - 8*o).\nAnswer: 64*o - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 550*t. Let b(g) = 644*g**2 - 332*g**2 - 310*g**2. Determine i(b(d)).\nAnswer: 1100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1662*u = -2371*u - 2590*u - 68599 + 213755 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 194596310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153 + -3?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynn when three letters picked without replacement from noycynvooooo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1\/4, -56\/657, 0.2, 12, 0.04, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 183*z**2 + 181*z - 60. Give x(182).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 8*j + 14*j - 3*j**2 + 6 + 10*j. Let h be l(17). Let w be 5528599972\/154 + (-2)\/h. What is w rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*v - 267, -511 = -2*h + 3*v + 38. Calculate the common denominator of -91\/36 and (h\/12)\/(54\/(-12)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/(2\/(-44)). Suppose -18*b = -22*b + 4. What is the greatest common factor of s and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 6. Let o be x(-4). Let b be (4\/3*3)\/o. Suppose 3*c + b*g - 49 = 0, -g - 58 = -2*c + 4*g. Calculate the remainder when 54 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/248 and -43\/21049.\nAnswer: 168392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-7) + 2\/7. Let k(a) = 2*a**2 + 8*a. Let x be k(t). Suppose -3*w = -x - 57. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 18*s + 67. What is u(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8*z + 8. Let q be g(7). Let o be (22\/5)\/(q + (-6)\/10). What is the greatest common divisor of 473 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03703 + -275932167.\nAnswer: -275932166.96297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*f + 16 = 0, -f = 3*u + f - 14. What is the second derivative of 2*o**u - 2*o**2 + 3*o + 5*o**5 wrt o?\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m + 229. Give h(-25).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7*3\/15 - 1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/8 + 323*v**2\/8 - 317*v\/4 - 321 = 0 for v.\nAnswer: -2, 4, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*r - 5*r - 80*r in the form v + n*r and give n.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91567.79 decades in millennia?\nAnswer: 915.6779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*j - 3585 = -2*j - 3640, 0 = -5*j - 25 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 395.2044 rounded to zero dps?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 975 and 5120505.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1970*r - 5728. Give j(3).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k + 124. What is h(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {k: 1, z: 1, n: 1, l: 5, x: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3525038 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: What is prob of picking 3 m and 1 d when four letters picked without replacement from mmmdmdmmmmm?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 5) in base 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2396306 - 2396297.999976. Let q = 17 - 9. Let x = b - q. What is x rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -88782.\nAnswer: -2\/44391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3532133\/95 + 37180. Let w = 1\/19 - k. Which is the second smallest value? (a) 5 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12317 = -4*v, 5*v = 3*n - 273 - 11999. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 8. Let j be f(-4). Solve 0 = -4*g - j - 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83\/104 - 25\/13. Let k = -23\/24 - j. Which is the smallest value? (a) 4 (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15\/3011 - -33815\/743717. Which is greater: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 500 - 477. Suppose -23 = 17*v - r. Factor -1\/3*t**2 + v - 1\/3*t.\nAnswer: -t*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = 2*w + 4588, -3*w = 3*x - 3450. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - -159. What is the greatest common factor of 28 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/105831 and -101\/57726.\nAnswer: 634986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 + 77 + 66 = -13*u + 260 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233\/3 + -77. Factor -2\/3*m**2 - i*m + 2\/3*m**3 + 2\/3.\nAnswer: 2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-84)\/8)*6 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 1. Let b = s - -46. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 6:10 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * -34.02\nAnswer: 74.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58, -127, -212, -319, -454, -623, -832, -1087?\n\"Answer: -x**3 - 2*x**2 - 56*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 22. Let z = -2391\/7 + 341. What is the second smallest value in 2\/17, -1, z, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i - 9. Let p(c) = -1. Let k(m) = -d(m) + 4*p(m). Let z(b) = -5 + 0 + 2 + 5*b. Let a be 3240\/(-324)*(-1 + 3\/2) - 2. Calculate a*z(v) - 4*k(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1070688*a*m**5 - a*m**3 + 2*a*m + 137*a + 3*m - 52 wrt m?\nAnswer: 21413760*a*m**3 - 6*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 11:55 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -105996 divided by 803?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2. Let n(l) = -l**3 + 2*l**2 - 2*l + 4. Let q be n(2). Let z(m) be the second derivative of 0*m**2 + q - 2*m + 1\/6*m**3. Give k(z(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*o + 6*o + o + (-3 - o + 3)*(-2 + 4 - 4).\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 304, 442, 558, 652, 724, 774?\n\"Answer: -11*o**2 + 171*o + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**5 - 5*f**2 + 0*f**5 - 15*f**5 - f**2 wrt f.\nAnswer: -1080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -828015.\nAnswer: 828014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6295 times -160?\nAnswer: -1007200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, m: 15}. What is prob of picking 1 w and 1 m?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 1304?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 21*k + 32 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.628 - 5.628. What is the closest to -0.3 in o, 15, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5081 * -0.1\nAnswer: 508.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891005519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 22 = -2*h, 0 = 4*h - 7 - 5. Calculate the greatest common factor of c and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 116 = 10*r + 12*r, 4*r + 7 = v - 12 + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60)\/(sqrt(12)*1)*-1*-2 + (-3*sqrt(360))\/(-2*sqrt(800)))**2.\nAnswer: 7921\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-752)\/(-144) - (-2)\/(-9). Solve 3*k = 5*p + 28, 22 = -3*k - 4*p + h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:38 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1 + -1 - 216\/(-4)). Let a = w + 68. Let z be (72050\/(-88))\/((-1)\/a). Round z to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12647773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 212777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -17923018 to the nearest ten thousand.\nAnswer: -17920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w**2 + 54*w**2 - 90*w**2 + 254.\nAnswer: 2*w**2 + 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.1. Let d = 21.6 + -24.6. Let z = -18 - -13. Which is the closest to o? (a) d (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2094 and 105548070?\nAnswer: 105548070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-8 + (-6)\/(-18)*15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 631*k - 44197. Give s(59).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 33535266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 a factor of 743058396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4701? (a) 11 (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**3 + 9*g**3 + 110*g**3 + 208*g**3.\nAnswer: 338*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqaqaaaaqaqq. What is prob of picking 1 a and 3 q?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/30 + f**5\/60 + f**4\/24 - f**3 + 21*f**2 + 4. Is l(3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 833 and 417958612.\nAnswer: 417959445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28572990421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z - 2. Let a(i) = 25*i**3 - i**2 - 11*i - 11. Let n = -90 + 84. Let r(m) = n*u(m) + a(m). Let h be r(3). What is h rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaffafdaafa. What is prob of picking 1 d, 2 f, and 1 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -91086\/245 smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 493177889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.1 (c) 0.01 (d) 0.4 (e) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 672, -5, -1, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 258*s = 2*z - 262*s + 16, -s - 1 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdgvvdgxg. Give prob of picking 2 d and 1 x.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 36 = 3*s, -3*z = 3*s - 6*s - 54. Let i = z - -51. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1835370687 or 1835370686?\nAnswer: 1835370686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 8. Suppose 3*r - 71 = -r + 5*x, 2*r - 16 = -4*x. Let g be 27\/9 + (-38)\/r. Sort g, h, -2\/11, 4.\nAnswer: h, -2\/11, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-38845)\/3*306\/(-255) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*d + 20, 3*d + 4*u - 6 = 8*d. Let s(p) = p**2 - 1. Let i(a) = -2 + a - 6 + 14*a**2 - 4*a**2. Give d*i(r) - 18*s(r).\nAnswer: 2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251610 (base 7) to base 4.\nAnswer: 23102313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29529736?\nAnswer: 2, 59, 62563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 242?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224.3 + 223.8. Sort -1\/55, c, 8, 2 in ascending order.\nAnswer: c, -1\/55, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/55))**(-27) assuming h is positive.\nAnswer: h**(54\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1925748 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38883 minus 151884?\nAnswer: -113001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3)*h*h**(-6)*h)**38*(h*(h*(h\/h**(-5\/3))\/h)\/h)\/h*h**(-3)*(h*h\/h**(-2))**(3\/25) assuming h is positive.\nAnswer: h**(-64\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8467*b**2 - 35*b - 1196. Let s(o) = 2822*o**2 - 13*o - 398. Let z(y) = -3*m(y) + 8*s(y). Find the second derivative of z(j) wrt j.\nAnswer: -5650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.4445l to millilitres.\nAnswer: 917444.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -4 (c) -1 (d) -38976 (e) -2\/5 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -b, -b = -3*x + 1 + 3. Suppose x*q + 5 = 11. Is 8 a factor of 44\/q - -2 - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -622, -1245, -1868?\n\"Answer: -623*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -43*d**3 - 8*d**2 - 9*d - 6. Let b(w) = 2*w**3 + 2*w**2 + w + 3. Calculate 4*b(p) + m(p).\nAnswer: -35*p**3 - 5*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i - 8. Let o = 0 - 0. Solve o = -i*x + 1 + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:17 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180260087 and 6251.\nAnswer: 6251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -549 - -553. Which is the closest to -2? (a) 1 (b) t (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000243007 to 6 decimal places.\nAnswer: -0.000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + -d?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) - (10 + 980\/(-90)). Let w(t) = t**3 + 6*t**2 - 8*t - 4. Let j be w(-7). What is the third biggest value in -1, o, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*g**5 + 7*g**2 + 466*g?\nAnswer: 340*g**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**3 + 9*b + 8*b - 16*b. Let n(f) = -f**2 + 3*f - 1. Let k be n(1). Let a be 8\/(-7) + k\/7. Determine l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 4*z - 3. Let i(m) be the first derivative of -m**3\/3 - 6*m**2 + 10*m - 5. Let c be i(-13). What are the prime factors of k(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 divided by -152?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187670*p + 2054 = 187749*p for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Suppose 3*y - 2 = 2*h, 5*h = -5*y + 2*y + 37. Suppose 2*j + k = 8, -j + y*k + 3 + n = 0. Solve z = 3*z + j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -18*c**5 - 131954*c**4 - 102364*c**3 + 1876856*c**2 + 2755984*c - 703680 = 0?\nAnswer: -7330, -3, -2, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1693, -3446, -5175, -6868, -8513?\n\"Answer: 2*v**3 - 1767*v + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28263 to two decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 3*k + 8*k**2 - 18 - 4*k**2 + 19. Let c be n(-2). Solve -9 + c = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 + 910215260*y + 41424590976843380 = 0. What is y?\nAnswer: -91021526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.05 or 622\/5?\nAnswer: 622\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -59\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b = -120. Let p(w) = 2 + w**3 - 287*w**2 - 13*w + 273*w**2 - 11. Calculate the remainder when b is divided by p(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 3*s - s + (3 - 1 - 1)*(7*s - 2*s - 3*s) + s - 4*s + 8*s to p*s + w and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7\/62 + 17\/124. Let j(r) be the first derivative of -r**3 + 0*r**2 + 0*r + c*r**4 - 14. Find the third derivative of j(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d - d)*(27*d**3 - 91*d + 91*d).\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23, -51, -101, -185, -315, -503?\n\"Answer: -2*j**3 + j**2 - 17*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2168 + -3916?\nAnswer: -1748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.6. Let g = 1075.5 - 1075. Which is the biggest value? (a) g (b) -0.5 (c) t (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 7*c - 140 = 0. What is the tens digit of 192\/((-18)\/c + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174 + 271. Let q = -17 + y. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3676 - 2102. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1)*(-154 - -134).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 60 - 2*w)*(2*w**4 - 2*w**4 - w**4) + 6*w**2 - 6*w**2 - 5*w**5 + (-15*w**2 - 394*w + 394*w)*(2*w - 2*w - 2*w**3).\nAnswer: 27*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 116395319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129024.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2947 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3 - 2*t - 2 - 1. Let v(w) be the first derivative of -w**4\/24 - 2*w**2 + 8. Let r(j) be the second derivative of v(j). What is r(o(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let k(o) = 1 + d - 3 - 4*o**3. What is the units digit of k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5354453, -5354467, -5354481?\nAnswer: -5354495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16464304 * -17\nAnswer: -279893168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18105 is divided by 1093.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 23, 28, 35, 44, 55?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (0 - 1) + (-11 - -21). Let u(g) be the third derivative of 0*g**4 + 0*g + d*g**2 - 1\/60*g**5 + 0*g**3 + 0. Let h(f) = 20*f. What is u(h(z))?\nAnswer: -400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5477216756 and 596.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 6*i + 9. Let b be j(7). Suppose -5*n - 3*r = -0*n - 16, -5*n + 4 = -3*r. Let f(k) = 31*k - 2*k**n + k**3 + 0*k**2 - 31*k. What is f(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**5\/20 + s**4\/4 - 7*s**3\/6 - 4*s**2 + s. Let l be o(-6). Let j = 127 + l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyg when three letters picked without replacement from {y: 8, g: 5, p: 5}.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204.3 + 205. Is d != 1.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2336?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -58. Suppose i = k - 9. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -65*c + 60*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -3 (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let d(o) be the first derivative of 7*o**5\/60 - o**4\/24 - o**3\/6 - 25*o**2\/2 + 18. Let v(c) be the second derivative of d(c). Give v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9816 is divided by 1957.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*x + 55, 2*h + 26 = 3*x - 0*h. Let s be ((-4)\/6)\/(2\/(-594)). Let a = s - 90. What is the greatest common divisor of a and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 64159, 64128, 64075, 64000, 63903, 63784?\n\"Answer: -11*q**2 + 2*q + 64168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/20*(-1)\/((-1)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -156658*t. Let w(k) = -36*k. Determine w(n(p)).\nAnswer: 5639688*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 584 and 212138?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 563952 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -81b (base 13) to base 11\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801, -1630, -2485, -3378, -4321, -5326?\nAnswer: -6405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, 20, 97, 260, 539, 964?\n\"Answer: 5*q**3 - 2*q**2 - 8*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -406, -2, -64, 2, -1, -8 in decreasing order.\nAnswer: 4, 2, -1, -2, -8, -64, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15395959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55560 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9630 + -22581?\nAnswer: -12951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 4*w + 2. Let c = -3 - 1. Calculate the least common multiple of -1*4\/(-4)*3 and v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 + 0.55. What is the closest to -0.2 in n, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 4*u**2 + 2*u - 1. Calculate k(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -19236674.90873.\nAnswer: -19236674.40873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -90. Let y = -12 + o. Solve 1 = -5*l + y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12720*t - 2 - 77676*t + 2 - 134782*t.\nAnswer: -225178*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28610 and 281680?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 8) + 7 + 1. Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13070018153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 65 (b) -5 (c) -1.5 (d) 394 (e) 0.2 (f) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*c + 43*c - 845. Find the common denominator of c\/(-25)*(-55)\/22 and 93\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*t + 553 = 0. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1509*a + 417*a = -820*a - 1887*a + 60229 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**5*f**2 + a**5*f + 7*a**2 + 4*a*f + 56*a - f**2 wrt a?\nAnswer: 60*a**3*f**2 + 20*a**3*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2223642 divided by -2283\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + s - 2*s - 15 - 3*s. Suppose 0 = -4*h - l - 35, 4*h = 2*h + 5*l - 45. Let d be i(h). Solve -d*a = b - 2 - 1, a - 1 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16474, -32949, -49424, -65899, -82374?\nAnswer: -98849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**4 + s**4 + 0*s**4)*((0 + 1 - 3)*(-2 + 1 + 0) + 5 - 1 + 0) in the form h + r*s**2 + y*s**4 + l*s + u*s**3 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.353 at least 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 20. Let s = -0.147 - -2.067. Let v = s - -12.08. Which is the nearest to 0.1? (a) v (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, -1\/10, 8, -3 in descending order.\nAnswer: 9, 8, 3, -1\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -183, -356, -535, -738, -983, -1288, -1671, -2150?\n\"Answer: -3*d**3 + 15*d**2 - 197*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -207406 (base 8) in base 16?\nAnswer: -10f06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 182191*n - 7 + 29413*n.\nAnswer: 211604*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 442903 - -10*(-6)\/20. Round b to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16553*m**2 + 2 - 49659*m**2 + 16552*m**2 + 0 - 2 + 16550*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 1. Let x(z) = 13*z + 3. Let y(s) = s + 4. Let p be y(-9). Let i(r) = p*k(r) + x(r). What are the prime factors of i(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/156)\/((-2 + 0)\/4). Let n be ((-4)\/(-6))\/(6\/9). Put n, w, 0 in decreasing order.\nAnswer: n, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u + 4. Solve 2*f = 2*i + 4, 4*i - u + 5 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -10\/9 (c) -1\/2 (d) -1\/11 (e) -382\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1762 = 2*f + a, -5*f = -2*a - 2955. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -155550?\nAnswer: 155560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (-3047 - -2969).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 14*g**2 - 11*g**2 + 5*g**2.\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 14) to base 10\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 418, -0.9, -4\/15, 1, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3469566325 - -22.03.\nAnswer: -3469566302.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 11\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -19*y**4 + 6*y**3 - 6*y**2 + 6*y + 25. Let x(k) = -k**4 + k**3 - k**2 + k - 1. Let n(a) = r(a) - 6*x(a). Differentiate n(t) with respect to t.\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - -37) + (-6 - 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 10*l + 2. Let f be m(-10). Let k be (2 - 2)*-1 + f. Suppose -3*i - 15 = 0, -k*y - 2*y = 4*i - 1248. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 0.055.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16382 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004154652 rounded to 6 decimal places?\nAnswer: 0.004155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -97. Suppose 0 = -20*c + q*c - 45266. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 223368*z**2 - 9832548*z - 108174000.\nAnswer: 3*(z - 74500)*(z + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emmmeeeeeeee. Give prob of picking 2 e.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -99*z**2 - 3*z. Let f(n) = -1782*n**2 - 55*n. Give 3*f(q) - 55*x(q).\nAnswer: 99*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 6*k + 6. Suppose 99 = s - 3*n + 91, 0 = s + n + 12. Let h(y) = -7*y + 7. What is s*d(i) + 6*h(i)?\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -37*q - 24. Calculate h(-4).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -74, -2\/11, 1, -359?\nAnswer: -359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -22924 - 11503*r - 22934 + 45858 as p*r + x and give p.\nAnswer: -11503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 13. Let o be l(-4). Let w(z) = z. Let b(s) = -26*s**2 - 4*s - 31. Let r(n) = o*b(n) - 4*w(n). Differentiate r(q) with respect to q.\nAnswer: 52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/65*-163*5. Let u = y + -13053\/20. Calculate the common denominator of u and ((-4)\/(120\/747))\/(24\/5).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6129\/4767)\/(1\/7) + -183*5\/(-15)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 53*y = -265 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17259180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131667093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -m + 8. Let f(u) = -2*u + 12. Let r be f(m). Let g(d) = -d**3 - 7*d**2 - 5*d + 8. Calculate g(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4749 - 49626.\nAnswer: -49626.4749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295321 to the power of 1\/2, to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*((m*m**(-2\/7))\/m*m)\/m*m**1*((m\/(m\/m**(-1)))\/m)**(2\/75) assuming m is positive.\nAnswer: m**(872\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 3, -205\/4, 21, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1 + 5)*((-53)\/636)\/((-4)\/(-3))\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -14*x + 13. Let k(d) = 26*d - 22. Let g(r) = 3*k(r) + 5*z(r). Determine g(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 2*i - 6. Let r(g) = 2*g**2 + 3*g + 7. Let j(n) = 3*h(n) + 2*r(n). Determine j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**4\/12 - i**3 + 2*i**2 + 12*i. Let u be j(1). Let a = -1\/293 + -871\/2344. Is a greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15997?\nAnswer: 17, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 34*c**3 - 4*c**2 + 3*c + 2. What is the lowest common multiple of k(1) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqllllllqqqllllq. What is prob of sequence qqq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 28. List the prime factors of g(16).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -31*l**3 - 2*l**2 + l + 2. Let r be g(-1). Let m be (0\/3)\/(0 + 1). Suppose 6*k - k - r = m. Solve j - 4 = -k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -8887976.\nAnswer: 1\/2221994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, -136, -180, -224, -268?\n\"Answer: -44*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 114.429?\nAnswer: 118.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = -0. Let w = -19 + k. Is (-336)\/w - 6\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -266 - -265.7. What is the nearest to 5 in m, 3\/5, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + (sqrt(396)*2)**2).\nAnswer: 3176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.6, -0.038, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/13 + (-11725)\/325. Let h = 39 + l. Suppose 4 = 2*r - 2. Calculate the smallest common multiple of h and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -64. Let w(d) = -d**2 + 29*d + 70. Let y be w(31). Suppose -3*k + y = 23. Put k, v, 2 in decreasing order.\nAnswer: 2, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1596 (b) 1\/4 (c) -5129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t**2. Let l = -39 - -23. Let q(b) = -10*b - 16. Let f(i) = -3*i - 5. Let z(o) = l*f(o) + 5*q(o). What is z(u(a))?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/(-36)*-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, 1354, 2745, 4136, 5527?\n\"Answer: 1391*j - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 797582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*y + 3*c = -219*y + 6, 3*c - 6 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/12 - h**4\/8 + 5*h**3\/6 - 85*h**2. Let i(k) = -6*k**2 + 3*k - 6. What is 3*i(w) + 4*u(w)?\nAnswer: 2*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, f: 2, y: 5, l: 1, q: 1}. What is prob of picking 1 l and 1 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + -3 + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1, 2\/109, 3 in increasing order.\nAnswer: -1, -0.05, 2\/109, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 2. Suppose k + 0 = -2. Let c be u(k). Let j(v) = -11109*v + 22219*v - 4 + 1 - 11109*v + v**3. Calculate j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257 - 5. What is the remainder when q is divided by 137?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 7*p - 24. Let k be (-1)\/((-3)\/(-6)) - -5. Suppose -k*m - s = -5*s - 132, p*m = 3*s + 129. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2472 divided by -2.\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.54 + -91.46. Let h = -93.0114 - r. What is h rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89.4752578 - 2.\nAnswer: -91.4752578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378, 376, 374, 372, 370, 368?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*a - 3*a + 678 = 0, -4*z - a + 670 = 0. Let w = z + -168. Sort w, -2, -4, -12.\nAnswer: -12, -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5015 - -9928. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 43*n**6\/6 + 5*n**3\/3 - 7*n**2\/2 - 36. Find the third derivative of k(a) wrt a.\nAnswer: 2580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15007 - -14944.653. Let w = 0.347 + i. Put w, -2\/7, -2, -5 in increasing order.\nAnswer: w, -5, -2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + t + 11 = -9, 40 = g + 4*t. Suppose -4*b + 36 + 15 = 3*k, -3*k + 5*b + g = 0. Let o be ((-2)\/(-4))\/(((-1)\/(-2))\/1). Solve -3*l = k - o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3414172 years in months?\nAnswer: 4.0970064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(76)\/sqrt(4) + sqrt(57)\/sqrt(108) + sqrt(19) + sqrt(19))**2*-5.\nAnswer: -35015\/36 + 190*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10704400 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -27. Suppose 0 = -x*l + 8841 - 777. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 251496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*g = 4*n + 9, 3*g = -5*n + 63. Solve -2*i = n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 34 - (4 - 0)) + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + q**2)*(4*q - q - 2*q) - 54 - 5*q**2 + 2*q**3 - 6 + 15 - 4*q**3 - 5*q**3 + 5*q**3.\nAnswer: -q**3 - 5*q**2 - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/33 and -3 + ((-3434)\/(-1440) - 57\/(-76))?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645645 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -105 + -31 + 64?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 7795 = -3*s - 7837, 7*s + 26 = 3*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**3 - 62*l**2 + 161*l - 93. What is o(2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 21*y + 1. Let z be x(-18). Let j = -49 - z. Suppose 4*f + f - 44 = -4*l, 0 = -j*l - 2*f + 56. Solve -4*g = -0*g - l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1 - 7*f**2 + 2 - 2 - 9*f + 28*f**2 - 2*f**3. Calculate the remainder when u(10) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j. Let y(o) = 2*o - 2 + 0*o + 2. Calculate r(y(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865253437.\nAnswer: 17, 50897261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4896 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1217*u + 303 + 1216*u - 302. Let v(c) = -c**2 - 6*c - 3. Let i be v(-4). Suppose -4*y - 3*f - 10 = -f, 5*y - i*f = -20. Determine k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5703, -5706, -5721, -5754, -5811?\nAnswer: -5898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**6\/30 + s**2 + s. Differentiate d(p) with respect to p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.046 - -8.754. Let t = g - 9. Let p = 15 - 14. Which is the third smallest value? (a) p (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 290*s + 1928. What is g(-10)?\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-24))\/((-7)\/42).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b**3 + 46*b**3 + 57*b**3 - 5834*b**2.\nAnswer: 61*b**3 - 5834*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1550025*u**4 - 434016960*u**3 - 30383278816*u**2 - 195220480*u - 313600.\nAnswer: -(u + 140)**2*(1245*u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.111 - -8372035.4.\nAnswer: 8372034.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 125700452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 = -5*p. Let o(a) = -2*a**3 - 5*a**2 - 3*a - 4. Let s be o(p). Suppose 0 = 4*y - s - 18. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**7\/3780 - w**5\/45 - w**4\/8 + 8*w**2. Let d(q) be the second derivative of o(q). What is s in d(s) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 2*z - 13. Let u be d(-4). Suppose 2*s - 5*p - 165 = 0, -12*p - 75 = -s - u*p. What is the remainder when s is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -14 + 4\/3*d + 4\/3*d**2 + 4\/9*d**3. Factor n(l).\nAnswer: 4*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-69)*(-1)\/8.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f**2 + 0*f**2 - 2*f + 9*f**2 + 12*f**2 + 0*f as b + k*f + w*f**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = -4*k + 29, -1 = -k - 4*q. Solve y + k + 0 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787021 is divided by 262145.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-273)\/26*(-8)\/6. Let n = 25 - 35. Let a = n + d. Solve 0 = -a*v + 1 + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11310338 (b) 4\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5986 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17356415\/48306489 - -2\/209119. What is the common denominator of f and -21\/5?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 1017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 1. Let p(v) = -5*v**2 - 4*v - 8. Let u(f) = -4*g(f) + p(f). Let t(q) = 1. Let k(m) = -2*t(m) - u(m). What is k(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 34*z**2 + 1684*z + 5061. Determine j(-3).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -728730, -729208, -730004, -731118, -732550?\nAnswer: -734300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - y + 1. Let a be v(-2). Calculate the remainder when (-79104)\/(-720) + ((-13)\/15 - a) is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11817322.\nAnswer: 2, 11, 521, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -566 divided by 4?\nAnswer: -283\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1731, -2295, -2865, -3441, -4023?\n\"Answer: -3*m**2 - 555*m - 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-3) + (-4)\/(-6). Find the first derivative of -r**3 - i + 9 - 2*r**3 wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -49 - (36 - -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132133 + 220?\nAnswer: -131313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/21)\/((97\/(-6790))\/(1\/(-4))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzrzmyyzya. Give prob of picking 1 a and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:06 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:12 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 368 + 3?\nAnswer: 36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 * -0.21.\nAnswer: -0.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-5)*(-30)\/(-4). Suppose -2*j + b = -75. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**24*f)\/f**(2\/9))\/(f**(-3\/4)*f*f)**(-4\/13) assuming f is positive.\nAnswer: f**(3178\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1800, -3655, -5512, -7371, -9232?\n\"Answer: -l**2 - 1852*l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -2*t**7\/315 - 2*t**6\/45 - 4*t**5\/45 - 3*t**2. Solve n(a) = 0 for a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4851 and 280898541.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*h**5 + 520*h**4 - 916*h**3 + 624*h**2 - 144*h.\nAnswer: -4*h*(h - 2)**2*(5*h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -44. Suppose -z + 5*x = 2*z + 46, 0 = -x - 1. Let g be z\/(-8) - (3 + -1). Which is the closest to 0.02? (a) -3 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/5 - 34*g**2\/5 + 184*g\/5 - 64 = 0. Calculate g.\nAnswer: 4, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - j. Let p be m(-1). Let w = 66 + -62. Sort 5, p, 42, w.\nAnswer: p, w, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let j = 4.2 - 2.9. Let s = j + w. Round s to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = p - 18, 6*c - c + 5*p - 20 = 0. Solve -g + 0 - c = -2*d, 0 = 4*d - 3*g - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**4 - 1512*b**3 - 4512*b**2 - 4504*b - 1500 = 0.\nAnswer: -375, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002267337 to seven decimal places.\nAnswer: 0.0002267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3853 + 5396. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3387 + 3387.0000009924. What is r rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 424*f**2 - 12*f + 288. Let g be l(-38). What is g rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0*f**3 + 5\/2*f**2 + 0*f**4 + 1\/5*f**5 + 0 + 2*f. Differentiate m(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + -1)*3)**2 + -1.\nAnswer: -90*sqrt(7) + 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7446 rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 4*w - 6. What is the lowest common multiple of c(-6) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/57 + 19*201252\/(-100719)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10804 and -4?\nAnswer: 10808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/120 + w**5\/15 - w**4\/12 + w**3\/6 - 3*w**2 + 8. Determine b(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*l - 1 + 12 - 11. Solve k = -1, -8*x + 3*x + 4*k + 19 = l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4421 - 4420.6. Which is the smallest value? (a) 4 (b) 0 (c) i (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*(c*(((c**(2\/11)*c)\/c)\/c)\/c)\/c*c\/c**(1\/3)*c\/(c**0*c*c)*c)\/((c*(c**4*c)\/c*c)\/(c*(c\/(c\/c**(-2\/5)))\/c*c))**(-8\/11) assuming c is positive.\nAnswer: c**(-202\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) 4596 (c) -0.1 (d) 2 (e) 0.3 (f) -0.02 (g) -25\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**5 - 4008*j**4 + 70596*j**3 + 247968*j**2 = 0.\nAnswer: -3, 0, 21, 984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/8 + 25731*t\/8 - 404271\/2.\nAnswer: -(t - 25668)*(t - 63)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*-27 - 2)\/(-2). Suppose 2*n - t = -18. Differentiate -n*s**4 + 14 + s**4 - 7*s**4 with respect to s.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 6204 = 7806. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -910 - -972. Calculate the remainder when 109 is divided by n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138855340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= -30342.73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -1\/2*t**2 + 0 - 1\/3*t**3 + 0*t**4 + 0*t**6 + 74\/21*t**7 + 0*t**5 - 120*t. What is the second derivative of n(v) wrt v?\nAnswer: 2960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5421 - -8665. What is the third derivative of -74*g**2 - 15*g**5 - 17*g**5 - 3*g**2 - 3242*g + p*g wrt g?\nAnswer: -1920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + t**2)*(-6*t**3 + 0*t**3 + 4*t**3) + 0*t**4 + 3*t**5 + 0*t**4 + 38*t**2 - 3*t**5 - 2*t**5 + t**4 - t - 35*t**2.\nAnswer: -4*t**5 + t**4 + 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.9 + 4.8928. What is z rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1578, -2983, -4388, -5793, -7198?\n\"Answer: -1405*u - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10579*p - 5702070. What is t(539)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*t + 32 - 923 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -165*135\/(-6930)*14.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1849260 and 33?\nAnswer: 20341860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/1050*7)\/(-1)*-5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1536366524?\nAnswer: 1536366531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/159, -6813, -3, -64\/7 in descending order.\nAnswer: -2\/159, -3, -64\/7, -6813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -803 - -884. What is the second derivative of -4*u - y + 5*u**3 + 6*u - 14*u**2 + 123 wrt u?\nAnswer: 30*u - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238386509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**4\/12 + 7*b**3\/6 + b**2 + b. Let r be v(7). Suppose 8 = -r*y + 70. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2580770*k - 2580768*k = 16, -6*h - 2 = -2*k + 14 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6\/5, 0.4, -6\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 8*q - 13. Let f(o) = -5*o**2 - 2*o + 3. Let m be f(q). Is 32 a factor of (m\/18)\/2 - (-3468)\/108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 11*x + 6. Let m be i(10). Let t = -11 + m. Suppose 5 = -t*a, -2 = -s + 4*a - 9*a. Solve 2*b - s*b = -5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by 7?\nAnswer: -61\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(225\/4050)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 1550*n**3 + 5105\/12*n**4 + 31\/2*n**5 + 2250*n**2 + 1\/6*n**6 - 4 - 6*n. Solve p(t) = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 = 3*s, -x - 1 - 6 = -2*s. Suppose s*g + 2*z - 6 + 4 = 0, -2*g = -2*z + 2. Solve 9 = 5*b - 3*i + 2*i, g = -2*b + 5*i + 22 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**4 - 10*s**2 - 161. Let k(b) = 2*b**4 - 4*b**2 - 80. Let j(f) = -5*k(f) + 2*o(f). What is the first derivative of j(v) wrt v?\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 8 - 32, 29*s - 6 - 319 = 3*l + 371 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529731 is divided by 176458?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, r: 5, q: 13}. Give prob of sequence rkkq.\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose -c*b - 7 = -4*f, -5*f - 2*b + 17 = -3*b. What is the third derivative of 10*a**2 + 74*a**f - 74*a**4 + 8*a**5 wrt a?\nAnswer: 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 - -103. Let r(p) = -9*p - 2. Let f(g) = -17*g - 4. Let b(s) = q*r(s) + 4*f(s). Let l(j) = 14*j + 5. Give -11*b(m) - 4*l(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5440660 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:11 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - -33. Let r = 54 + l. Calculate the smallest common multiple of 20 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3 + 11593*p**2 - 33616795*p + 100746075 = 0.\nAnswer: 3, 5795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h + 20*h - 45*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8473 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.58 + -280.42. Let p = -284 - l. Let j = -204 - -821\/4. What is the closest to p in 1\/5, -2\/11, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/27 - (-28)\/6)*5. Calculate the highest common factor of 15 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u + 2569. Is z(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -29*u + 4463. Let s be q(154). Put 17, s, -5 in increasing order.\nAnswer: -5, s, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 20333?\nAnswer: 20320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 9:21 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37490884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - w)*(2437 + 4207 + 4703 - 2119 - 2304 + 6447).\nAnswer: -13371*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 125720, 251443, 377166?\n\"Answer: 125723*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*w = 2897 + 1903 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2163, 4319, 6475?\nAnswer: 8631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 10:05 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = -72*x - 9*x - 28*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108280258*h**4 - 2*h**2 - 7781327*h + 47.\nAnswer: 2598726192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*276\/(-24) + 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 158*u**4\/3 + 2374*u**3 + 31780*u**2 + 323200*u\/3 + 8000 = 0.\nAnswer: -20, -5, -6\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.5 - 15. Let j = -1.5 + u. Let y = 109\/260 + -1\/52. Do j and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 6*f - 290. Let t = 41 - f. Solve -3*h - h - t = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 493, 510, 561, 664, 837, 1098, 1465?\n\"Answer: 3*l**3 - l**2 - l + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 6*m + 3. Let b be (-5)\/(-4)*(-2 + 6). Let h be (-2 - 8\/(-10))*b. What is z(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -644*n**3 + 388*n**2 - 486*n**3 - 600*n**3 - 38*n**2 - 114*n**2 wrt n.\nAnswer: -10380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1722 and 40\/20 + (-51)\/(-36).\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.92581 years in millennia?\nAnswer: 0.05092581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4b6 (base 13) to base 15\nAnswer: 3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/9? (a) 5 (b) 0.5 (c) 3 (d) -540\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 21 + (70 - 124 - -34)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*o - 81 + 3634. Calculate the highest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -211*d**4\/2 - 2429*d**2\/2 + 2904*d. Differentiate c(k) with respect to k.\nAnswer: -2532*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 11*d**2 + 8*d + 22. Let b be c(10). Suppose 3*w + 4*t = -0 - 11, -3*t - 21 = -b*w. Solve -4*k = -w*p - 1, -3*p + 19 = 3*k - 2*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2 - (-9 + 11 + -11)) + -3 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**3 + 185 - 91 - 69 - 70 - f + 4*f**3 to y*f + p + k*f**3 + b*f**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qesqqeepsq. What is prob of picking 1 e, 1 p, and 1 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(1190\/63))\/(3\/2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 20*w + 38. Calculate v(-19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1642 to 2 decimal places.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 3. Suppose -36 = 7*z - 1. Suppose -6*a - 9 = -3*a. Let x(w) be the second derivative of w**4\/6 + 5*w**2\/2 + w. Give a*x(r) + z*d(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 1. Let u(s) = -s. Let v(g) = 3*b(g) - 7*u(g). What is v(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 370.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + p + 1. Let l(d) = -3*d**3 - 301*d**2 - 2*d - 2. What is -l(c) - 2*n(c)?\nAnswer: 3*c**3 + 299*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 262\/3, 5 in decreasing order.\nAnswer: 262\/3, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121889849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 - -0.7. Let t = -23 - -23.15. Let l = -0.35 + t. Sort g, l, 0.4 in ascending order.\nAnswer: l, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.59836 plus 0.0133?\nAnswer: 2.61166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -326*o - 9. Let f be c(15). Let y = 44167\/9 + f. Suppose 4*s + 0*s + 5*r + 13 = 0, -9 = -3*r. What is the common denominator of y and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - k + 6 - 3)*(2 - 2 - k) + (4*k - 2*k**2 - 4*k)*(4 - 2 - 3).\nAnswer: 3*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -9 - (-2 + -4) - 7 - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 24. Suppose 0*f = -4*f + w. Suppose -q + f*q = 23. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 286.36 + -291. Let z = 0.36 - m. Put 1, 0.3, z, -2\/5 in descending order.\nAnswer: z, 1, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxkk when four letters picked without replacement from {x: 2, q: 2, k: 9}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n - 4*n + n. Let z(r) = -r. Determine z(v(a)).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*l + 106*l - 59*l = 66*l + 10032 for l.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + 1. Let g(c) be the first derivative of -4*c**2 - 3*c - 15 + 18 + 2*c. Calculate g(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - 11731270?\nAnswer: -11731177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3200214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -41 (b) 3 (c) -2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 3208?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**2 + 64*b + 3. Determine x(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 14818*z**2 - 53*z - 7. Is n(-1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 6*z - 2. Let t be b(-6). Let a be 15\/2*t\/(-3). Let u(w) = -w + 7. Let f be u(a). Solve 7*i = f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 39977 + 12068 = 0. Let w = 2188 - r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*x + 3*o, -8 = -5*x + 4*o. Solve 10 = r + r, x = 4*i + 5*r - 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*11\/((-539)\/(-21))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4467 + -3688. What is the remainder when m is divided by 166?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18038264, -36076526, -54114788?\nAnswer: -72153050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**4 - 10*o**4 - 2*o**2 + o**2 wrt o.\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 512 and 56\/(-20) - (-5010)\/75.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(432) + 3).\nAnswer: 15 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, r: 7}. Give prob of picking 1 t and 1 r.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i - 0. Suppose 0 = w + i*w - 36. Solve -4*o - 4*d = -7*d - w, -5*o + 2*d + 13 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**6\/80 - k**5\/8 + k**4\/2 - k**3 - 18*k**2 + 50. Let q(a) be the second derivative of s(a). Factor q(d).\nAnswer: 3*(d - 2)**2*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27696975?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (27 - 10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 15250. Suppose -13*h + 8*h = -k. What is h rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*j + 395, 3*l - 302 = -3*j - 2*l. What is the greatest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -2 - -1 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33832697 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 40. Suppose -24*v - y + 33 = -27*v, 4*v = 2*y - 46. Determine g(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 8:25 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 + 3*o**5 - 4*o**5 + 3*o**5 - o**4 + o**4 + (3*o**2 + 0*o**2 - 2*o**2)*(5*o**3 + o - o) + 0*o**2 - o**5 + 0*o**2.\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 16*i - 357. Let f = i + -72. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b**3 - 176*b**2 - 36*b + 176 = 0 for b.\nAnswer: -1, 1, 44\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 78. Suppose 0 = -5*s - 4*a - 10, 5 = -2*s - 4*a + 1. Which is bigger: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -37 + 2. Let u = -2 + y. Let r = u + 0. Solve 0 + 25 = r*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (11 + 1 + (-6 - -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3687 is divided by 133.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Suppose h*y + y = 812. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104885, -104899, -104911, -104921, -104929, -104935, -104939?\nAnswer: -104941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-117)*68\/17*2\/(-40).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 6*g - g + 0*g - 4*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364720 and 32336.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67472 + 5*a**3 - 67472.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 13873*h + 4 = 13868*h, -d + 4*h - 6 = -2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 15*k**2 - 10*k - 7. Let a(w) = w**3 + 8*w**2 + 5*w + 4. Let x(q) = 5*a(q) + 3*s(q). Determine x(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 78. Let i be o(-1). Calculate the greatest common factor of 132 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 - 20*b**3 + 214*b**2 - 214*b**2 wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*r**4 - 18\/5*r**2 - 8\/5 + 2\/5*r**3 + 22\/5*r.\nAnswer: 2*(r - 1)**3*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = -2. Let j(b) = -7*b**3 + 6*b**2 + 7*b + 13. Let u(a) = 10*a**3 - 9*a**2 - 10*a - 19. Let f(y) = 7*j(y) + 5*u(y). Calculate f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 2\/1691533?\nAnswer: 2\/1691533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j + 6 = 3*r, 4*r = 8. Suppose t - 21 = -2*t - 3*u, -3*t + 5*u + 61 = j. Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 3 + 16*q**2 - 7*q**2 + 0*q**3 + 9. Does 7 divide z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -0.4 (c) 5470 (d) -4 (e) -1\/14 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 31 = 39 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**3 + 3*q**2 + 3*q - 1. Suppose -k = -2*p + 1, 0 = -3*k - 6 - 3. Let s be y(p). Solve s*f - 13 = 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 10. Factor -3*h**5 + 9*h**a - 18*h**2 + 12*h**4 + 6*h**2 - 12*h + 6*h**5.\nAnswer: 3*h*(h - 1)*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.7 + 1.3. Let p = q - 21.8. Which is the closest to p? (a) -1\/3 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63773.\nAnswer: 63773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33653 and 916007?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:35 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, f: 1, w: 3, x: 5}. What is prob of picking 3 x and 1 w?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/207 + 611\/1035. Suppose 85*v - 70 = 50*v. Factor 0*u - b*u**v + 0.\nAnswer: -3*u**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*1)\/(sqrt(10)\/sqrt(2)*4).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (0 + 59)*3. Let v = b + 112. Suppose 0 = 4*o - 3*r - v - 184, -3*r = 3*o - 363. List the prime factors of o.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151651 is divided by 75823.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oiiiioiioooiii?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753*n**2 + 379*n**2 + 374*n**2 + 5*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.38 + -2.32. Let n = j - -2.70000221. What is n rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*r - 18363 + 17307 + 48*r)*(3*r + 0*r - 5*r) as h*r**2 + y*r + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*h = -3*o + 4, -5*h = -5*o + 5. Suppose -2*i = 3*u - 62, 1 + 9 = -5*i. Let k = u - 17. Solve -o = -k*a + 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 7*k + 6. Let j = 16 - 9. Let a be d(j). Solve a*h - 5 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49023 is divided by 24321.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1.2?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 7*f - 3. Give k(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 32*k - 726. What is n(30)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(700)*2 - (0 + sqrt(700) + 0)))**2*4.\nAnswer: 640*sqrt(7) + 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0*z**3 + 3*z**3 + 5*z**2 + 2*z**3 - 5*z. Suppose -b - 6 = -4*b. Let o be x(b). What is the greatest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13896*o**2 - 15252*o**2 - 53455*o**2.\nAnswer: -54811*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oieieoeoeeeoo. What is prob of sequence iooi?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.9*2.6.\nAnswer: -15.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Suppose -4*o = -v*x - 47 + 15, -x + 8 = o. What is the remainder when 21 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11603057?\nAnswer: 11603057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 9:41 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maw when three letters picked without replacement from wmttawwwatwtwamxaxj?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1045 - 32*b + 1045 - b + 4*b - b + (5 + 2 - 5)*(-3*b + 2*b + 3*b) + (-1 - 3 - 1)*(5*b - 4*b + b).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 103677?\nAnswer: 1555155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9969380.\nAnswer: 2, 5, 498469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 56285989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and -95826.\nAnswer: -3641388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*sqrt(95)*-1)\/(sqrt(60)\/(1*sqrt(3))).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*b + 19 = 0, 3*r - b - 3 = -7. Sort -5, -73, -7, r in descending order.\nAnswer: r, -5, -7, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6682 and 13442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 129177?\nAnswer: 387531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.37 and 0.2.\nAnswer: -2.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {t: 3, f: 10, w: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 2*q + 1 - 14*q**3 - 6*q**3 - 1.\nAnswer: -22*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*n**2 - 11 + 11 + (3 - 2 - 4)*(1 - n**2 - 1) + 0 + 0 - 2*n**2 - n + 5*n - 3*n + n**2.\nAnswer: 22*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11573*m**2 + 42558*m wrt m?\nAnswer: 23146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by (-1)\/(-2)*20 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.031, 10, 85\/3, -4.5, 1.\nAnswer: -4.5, 0.031, 1, 10, 85\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 311372177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 983 divide 6089873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 7*l + 6. Let d be v(-9). Let x = -9 - d. Factor 0*z**2 + 3*z - 2*z**2 + 2*z**2 - x*z**2.\nAnswer: -3*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-963)\/27)\/(10\/3) and 21\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 1\/5*y + 0 - 2\/5*y**2 - 4\/5*y**4 - 7\/5*y**3 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 2*u - 2*y - 0*y, -4*y = -2*u + 150. Suppose -5*g - u + 20 = 0. Does 5 divide g\/3 + 1 - -10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cc9 (base 16) to base 11\nAnswer: -2506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/120 + i**5\/12 + i**4\/8 - i**3\/6 + 6*i**2. Determine o(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -27*n**5\/5 - n**4\/4 + 2*n**3\/3 - 5*n**2 - 69. What is the third derivative of g(t) wrt t?\nAnswer: -648*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011101101 + -110010000101?\nAnswer: -1110101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2069763 != -2069760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139377.\nAnswer: 3, 7, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1153*a + 6228 + 4300 = 151 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byq when three letters picked without replacement from bbbbybybybybybybq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 4, -17, 1\/4, 1\/2 in descending order.\nAnswer: 4, 1\/2, 1\/4, 0, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 5*p + 23. Let c be o(8). Let h(i) = -i + 1. Let x be h(6). What is the closest to 1\/3 in 1, x, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 16*s + 13*s - 25 = 0, -4*s = -4*g + 12. Suppose -g*u = u - 1026. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/(8\/6)*2. Let z = -6473\/35 + 185. Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23879, 23860, 23821, 23756, 23659?\n\"Answer: -s**3 - 4*s**2 + 23884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -68.07. Let r = f + 1.07103. What is r rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -13*k**3 - k**2 + 7*k + 10. What are the prime factors of q(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 37 - 9*v**3 + v**2 + (0*v + 0*v - v**3)*(-1 - 3 + 5).\nAnswer: -10*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 > 1097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**2*t**3 + 42455*k**2*t - 2*k*t**3 - 16*k*t + 22*t**3 - 3*t**2 wrt k.\nAnswer: 10*t**3 + 84910*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 8:55 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Let h(t) = 2*t**3 - 7*t**2 + 5*t + 2. Is 22 a factor of h(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4923 and 287722?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13985 times -0.3\nAnswer: -4195.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(-6*((sqrt(304) - sqrt(304)*1) + 3))**2*-3*-5.\nAnswer: 72900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47665774, 47665766, 47665756, 47665744, 47665730?\n\"Answer: -t**2 - 5*t + 47665780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r. Let g(o) = 4*o - 1. Let b(d) = -d**2 + 11*d - 12. Let u be b(10). What is u*g(l) - 3*v(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7*2))\/((-4)\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -40.71, -898, 4 in decreasing order.\nAnswer: 4, 1\/4, -40.71, -898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrlhysllyll. Give prob of picking 1 h and 1 r.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 68481 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1311 (base 6) to base 13\nAnswer: 1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 110 (b) 204 (c) -4 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/(-24) - 4\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -40 + -57 - -35?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -388\/7, 4.\nAnswer: -388\/7, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715 a factor of 157858658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 306, -5 in descending order.\nAnswer: 306, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47333 divided by 4.\nAnswer: -47333\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 12:59 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54294680 a multiple of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1877*g**2 - 1876*g**2 - 1)*(-5 + 5 + 1) in the form u*g**2 + h + v*g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1779048255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {g: 3, t: 12, k: 2}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 23*c + 13. Let g be o(-11). Suppose -g*z = -48 + 6. Let b(t) = -6*t**2 + 7*t + 7. Let m(l) = l**2 - l - 1. Calculate z*m(p) + 3*b(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 + 3*b**2 - 2*b**2)*(-4*b**2 + 0*b**2 + 2*b**2) + 2*b**2 - 181*b**4 + 357*b**4 - 187*b**4 as c*b**2 + a + x*b + y*b**4 + r*b**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11514 + -11514.25. Which is the third smallest value? (a) 1\/2 (b) -1 (c) q (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2676930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 7*n**2 - 5*n + 1. Let l be q(-6). Let p(j) = 2*j**2 + 10*j - 1. Let b be p(l). Is b at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -40. Let m = 29 - t. Calculate the greatest common factor of 60 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.697 - -2057.503. Let m = -2271 + s. What is m rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2712\/(-42) - 4\/(-7). Let k = 172 + m. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, 160\/3, 289\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1799 or 10793\/6?\nAnswer: 1799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7028*f**3\/3 + 12092*f**2\/3 + 3928*f\/3 = 0. Calculate f.\nAnswer: -491\/1757, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1440, 5803, 13068, 23229, 36280, 52215?\nAnswer: 71028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21879?\nAnswer: 3, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7034149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:06 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 1, -17, 7.\nAnswer: -17, 1, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8475\/(-226)*(-32)\/600?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 4*b**2 - b - 1. Let h be n(2). Let a(i) be the third derivative of -1\/108*i**4 - 1\/270*i**h - 2*i**2 + 0 + 0*i**3 + 0*i. Factor a(p).\nAnswer: -2*p*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-16)\/l)\/(l*l**(-2\/19)\/l))\/(l**(3\/14)\/l**(1\/5)) assuming l is positive.\nAnswer: l**(-22489\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496014.\nAnswer: 2, 3, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:32 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199 by -7.\nAnswer: -199\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 35 + 25 = 0. Suppose 2*c - 16738 = -q*i, 5*i - 2*c + 1762 - 43579 = 0. Suppose i = -5*l - 28885. Round l to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:14 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a + 39. What is the tens digit of h(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*b = 71 + 35 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11178 times 0.2\nAnswer: 2235.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 818676 - 3392593387\/4144. What is the common denominator of 51\/370 and a?\nAnswer: 20720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**2 + 501*c - 235. Give n(84).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 222117224 - 183831.\nAnswer: 221933393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ookkeejeeeeokoo. Give prob of sequence kkeo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {j: 2, t: 1, x: 1, y: 1, f: 1, v: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 5*z**2 - 8*z - 14. Let x be j(-4). Suppose -10 = -x*b + 12. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/8)\/(6\/(-12)). What is the biggest value in 5, -5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31759?\nAnswer: 7, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1323*l**5 - 4095*l**4 - 47247*l**3 - 37809*l**2 + 3924*l - 96 = 0. Calculate l.\nAnswer: -4, -1, 1\/21, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 340\/(-192) - (-2)\/6 and -79\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 424418*z**5 + 2*z**4 - 8*z - 349141 wrt z.\nAnswer: 8488360*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/4))**43*a\/(a\/(a*(a\/a**(4\/13))\/a))*a**(1\/9)\/a assuming a is positive.\nAnswer: a**(25063\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000202281749 rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 take away 9.4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1101?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (2 + 12) - (14 + -1 + 5).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.95 - 104.45. Let f = j + 103. Let q = 4 + -1. Put -1, f, q in descending order.\nAnswer: q, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*l**5*u**2 - 2*l**3*u**2 - 11*l**3 - l**2*u - 462*l**2 + l*u**2 wrt l.\nAnswer: -1020*l**2*u**2 - 12*u**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 172734.\nAnswer: 3281946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 33 + w**5 + 25)*(2 + 2 - 7) - w**4 + w**4 - w**5 + (-w + 0*w - w)*(-2*w + 2*w + 2*w**4).\nAnswer: -8*w**5 + 147","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**5 - 7370*j**4 + 7385*j**3 + 14750*j**2 = 0.\nAnswer: -1475, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1922 divided by 115367\nAnswer: -1922\/115367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, k: 1, v: 2, n: 1}. Give prob of sequence kvvs.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from aaaaaazadzzza?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-40)\/4)\/((-4)\/12).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/(-77))\/(-9)*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w - 33*w + 76*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 5. Let w be q(4). Let h(i) = -11*i - 5. Let x be h(w). Let u be (44\/x - (-7)\/(-21)) + 3. What is the greatest common divisor of u and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(-1)*(-725)\/(-435).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4, -4, -25 in descending order.\nAnswer: 4, 1, -1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.053*-41.\nAnswer: -2.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + -92 + 250 + 7.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, b: 4, f: 2, o: 5, i: 1}. Give prob of sequence foiu.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43843, 43834, 43813, 43774, 43711, 43618, 43489, 43318?\nAnswer: 43099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 3*x - x)*(3 - 5 + 1) - 7*x + 3*x + x + (-7 + 4 + 2)*(-4 + x + 4) + 4*x - 2*x + 0*x - 7*x + 7 + 18*x - 10*x to u*x + i and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 66 + 24 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 - 262*f + 37. Give s(87).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (461\/(-922))\/((32\/(-4))\/(-80))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 21. Let t(l) = -4*l - 7. Is 13 a factor of t(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - 10*b + 5. Let i(n) = 4*n**2 + 12*n - 6. Let l(c) = -5*i(c) - 6*o(c). Let x(d) = 158*d**2. Give x(l(y)).\nAnswer: 632*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**3 + 2*r**2 + 10*r - 10. What is m(3)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/9 - (-282)\/54. Suppose -5*p - v*p = -9100. Round p to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 7*t**2 + 26*t - 88. Determine p(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-267)\/(-890)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 - 271*d + 9082. Calculate y(26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, -64, -150, -262, -400, -564?\n\"Answer: -13*n**2 - 21*n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011193 rounded to five decimal places?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v - v**2 - v**2 - 1179 - 645 + 1267 - 512 to k*v**2 + c*v + y and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.1. Let t = 31\/819 - -515\/819. What is the third smallest value in t, 1\/72, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 2328 + 144. Let r = -4728\/13 - i. Find m such that r*m**2 + 2\/13*m + 2\/13*m**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8\/15)*v*v**(1\/53)\/v)\/(v**(-2\/15)\/v)**(-48) assuming v is positive.\nAnswer: v**(-43657\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109674\/7 + -15668. What is the nearest to 0.4 in 0.1, -1.8, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10814*w + 273. Let u be x(-18). Let d(a) = -81904*a**2 + 2*a - 1. Let j be d(-2). Let o = u + j. Round o to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*n*v**2 - g**2*n - g**2*v + 4*g**2 - 2*g*n*v**2 - 2*g*v**2 - 8*n*v**2 - 6*n*v + 16 wrt v.\nAnswer: 4*g**2*n - 4*g*n - 4*g - 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 11*c**2 - 37*c + 261. What is p(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -49. Which is the nearest to -4? (a) v (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ae7 (base 16) to base 4.\nAnswer: -12223213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89635 (base 11) in base 8?\nAnswer: 375517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3\/4*s**5 + 0 - 3\/2*s**3 + 0*s**4 + 3\/4*s + 0*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let i(f) = -127*f**2 + f - 2. Let k be 4\/(-6)*3*(-2)\/(-4). Let q(a) = k*i(a) + 6*s(a). List the prime factors of q(1).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y - 18. Suppose 36 = -a - 5*a. Let h be j(a). Suppose 0*s + 2*s = h. What is the greatest common factor of s and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 > 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from sbsassajs?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -788 or -728?\nAnswer: -728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (10 + -17 + 10) - 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-2)\/(-10) + 0. Suppose -z + 4*h + 10 = 0, 14 + 0 = 3*z - 4*h. Let n be (-2 + 5 - z) + -2. Is n bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 8*y + 4*y + 5*y - y - 3*y - y - 2*y + y + y - 5 + 5 + 2*y + 2*y - 5*y + (0 + 1 + 1)*(0*y - y + 3*y) + 0*y + 4*y - 2*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 5. Let c(y) be the first derivative of y**4\/24 + y**3\/6 + 61*y**2\/2 - 19. Let l(g) be the second derivative of c(g). Calculate j(a) + 4*l(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 488 and 18469 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 v, and 1 u when four letters picked without replacement from rhrvuv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 29*b**3 - 2*b + 1. List the prime factors of c(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 1833 = -1878 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3*j + 2*m + 5, 3*j - 2*m = -1. Solve -j = -p + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i - 8. Let s be 98\/4*(-60)\/(-210). Calculate r(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6203904198.9 and -0.1.\nAnswer: 6203904198.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 - 3.3. Let h = -5 + 5.1. Is t > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and -5\/1937 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/24)\/((-2)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*3.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**4 - 35*m**3 - 67*m wrt m.\nAnswer: -36*m**2 - 210*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 28*d - 3. Let k be (-67)\/(-13) + -5 - (-204)\/26. List the prime factors of g(k).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 1\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 6*i - 98. What is the remainder when 36 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from yybehhezyezzyehzyehe?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -408977.\nAnswer: -12\/408977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 7*s - 1. What is n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 1:44 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97509563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + 17 + -5 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 17*u + 2. Let c(k) = 2*k + 1. Give 4*c(p) - z(p).\nAnswer: -9*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0\/4)\/5*3\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -54, 4, 0, -42, -5 in ascending order.\nAnswer: -54, -42, -5, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -86. Let j be l\/(-66)*-4 - 4\/(-22). Let p(w) = 214 - 214 - j*w. Let z(x) = 11*x. What is p(z(i))?\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - ((-1 - -3) + 1)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 78*g**2 - 90. Let i = 30 + -57. Let o(r) = -11*r**2 + 13. Let d(k) = i*o(k) - 4*l(k). Differentiate d(j) wrt j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53004.89985 - -53003. Let b = p + 1.9. Round b to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 1. Let p be w(1). Suppose -p*q + 10*q - 32 = 0. Let 6*z + 12*z**3 - q*z**2 - 3*z**4 - 11*z**2 + 0*z**4 = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 84? (a) -8 (b) -0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/(-25) - -7)\/((2\/(-60))\/1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219116641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, j: 1}. Give prob of sequence bbj.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 7\/12*n**4 - 3 + 11\/6*n**3 - 1\/5*n**5 - 1\/120*n**6 + 0*n + 2*n**2. Give t(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -12 + -32 + 48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + r**2 + r + 4. Let a be u(0). Solve -3*d = a*o - o - 3, -3*d + 3*o + 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5153?\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))**(-18))**(-7\/8) assuming d is positive.\nAnswer: d**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 29*t**2 + 50*t + 4080. Determine a(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1582664.\nAnswer: 2, 181, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 2 l when four letters picked without replacement from {p: 4, q: 1, l: 8}?\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - w + 291 = 0, -387 = 4*g - 6*w + 5*w. Let a = g + 99. Sort -13, a, 2, 5 in decreasing order.\nAnswer: 5, a, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*y + 24790, 2*y = 27*s - 26*s - 6193. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -3\/10, -1\/48, -5, 2?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - d + 5, -2*y - 6 = -5*d - 15. Determine p so that -46*p + p**2 - 2*p**y + 6*p**3 - 24 - 12*p**2 - 5*p**2 + 2*p**4 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5699.984 years?\nAnswer: 569.9984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 5*g + 3*g. Let h(m) = -m + 1. Let x = 25 + -36. Let l = x + 10. Calculate l*v(d) + 2*h(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17760 is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.3 - -10. Let d = -38\/225 + -4\/75. Which is the smallest value? (a) -1 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19843*j*t - 6*j - 1639 wrt t?\nAnswer: -19843*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48671.36 millilitres in litres?\nAnswer: 48.67136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 0*t**3 - 16*t**2 - 8*t**2 + 3*t**3 - 9 - 3 - 13*t. Let j(z) = -2*z**3 + 12*z**2 + 7*z + 6. Let s(i) = 7*j(i) + 4*y(i). Is s(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by (24\/(-14))\/(3\/(-63)) - -2?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*(-25)\/(-10500)*(-144)\/(-6).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t = -12. Let n be t*(-6)\/4 - 2. Suppose -4*c + 41 = 3*f, 104 = n*f - c + 24. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065 at most as big as 6067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -45639, -2, 4 in ascending order.\nAnswer: -45639, -2, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -314, -14 in descending order.\nAnswer: 1, -5, -14, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b + 63. Let c be q(-25). Let m = 179 + c. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466946 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1020 and 182716.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)\/u)**(-14) assuming u is positive.\nAnswer: u**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447 divided by -25?\nAnswer: -1447\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = -3*x + 47424. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 79 - 4. Suppose -1 = 2*o + 1. Let u(c) = 134*c**2 - c. Let l be u(o). What is the highest common factor of z and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 5. Let i = -10 + -2. Let z be (-27)\/i*16\/(-6). What is q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Which is the second biggest value? (a) 4 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070 is divided by 96.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 403223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + 16*x - 10. Let w(z) = -2*z**2 + 15*z - 11. Let k(l) = 3*v(l) - 4*w(l). Let y be k(-12). Suppose 5*a = 151 + y. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-1 + 2 - 45). Let d be (2 - u\/(-28)) + 0. Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -1\/8*l**2 + 1\/20*l**5 + 2 + 1\/8*l**4 - 1\/24*l**6 + 1\/4*l - 1\/6*l**3. Factor p(u).\nAnswer: -(u - 1)**3*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 12. Let n be (-1)\/((6 - -5) + -12). Put j, -4, n in descending order.\nAnswer: j, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 + x - 12. Is y(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/32, -10, 2\/9, -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -10.4. Let g be -3*3\/(-12)*-4. Let w = 10 - 7. Which is the second biggest value? (a) w (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**4 - 20\/9*h**3 + 0*h + 208 - 1\/15*h**5 + 0*h**2. Find b, given that z(b) = 0.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - q**2 + 2*q**2)*(83 + 63 - 1079 + 0 - 253 - 1594).\nAnswer: -8340*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -6 + 7 - (1 - 0). Let o(p) = -2*p**3 - 5*p**2 - p + 5. Let m be o(z). Solve 0 = 3*l + 4*d + m - 45, 16 = 4*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 11:43 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {h: 7, e: 4, w: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*n**2 - 3*n**2 + 5 - 21 - 1382*n**4 wrt n?\nAnswer: -33168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 26317, -1, 1 in increasing order.\nAnswer: -1, 1, 2, 4, 26317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1164 - -1.2164. What is the third biggest value in g, -4\/7, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2465849 and 6.5.\nAnswer: 6.7465849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 12 = -3*j, -20 = 1110*j - 1105*j - t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*x + 31, -4*h + 23 + 0 = 3*x. Let s(g) be the third derivative of -g**6\/120 + 2*g**5\/15 + 3*g**4\/8 + g**3\/3 - 2*g**2. Give s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7 - 15860\/(-16653))*25?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 2*s**2 - 2*s + 4. Determine m(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 = -n, -4*n + 3*n = -4*w - 5. Suppose n*g = u + 4*u - 10, 5*g = -2*u + 4. Solve 0 = -3*i - u*i + 2*o - 3, 2*i + 2*o + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-22)*u*(u**(1\/11)\/u)\/u assuming u is positive.\nAnswer: u**(-252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 72 (b) -3 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -10017?\nAnswer: -10017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 609\nAnswer: -2\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1173565588*v**5 - 444394611*v**2?\nAnswer: -70413935280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 27 = 5*n. Suppose g + 2*f = -199 + 490, n*g + 4*f = 877. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -580 - -38010?\nAnswer: 37430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -77*j**4\/12 - 637*j**3\/6 + 253*j - 1. Find the second derivative of i(h) wrt h.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxhhbg. Give prob of sequence gh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*b - 116*b + 62552 = -887*b for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 + n - 2. Let g be b(4). Let p = 60 + g. What is the remainder when 69 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14108 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**4*p**5)**(4\/5)*((p\/((p**(-1\/8)\/p)\/p)*p)\/(p**(-2\/7)\/p))\/(p**(-2\/7)\/p*p)**9 assuming p is positive.\nAnswer: p**(895\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -119, -270, -473, -722?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -299\/5 + 59. What is the second biggest value in m, -18, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 g, and 2 s when four letters picked without replacement from uuussugsu?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 272990317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*f - 82, 0 = f + 2*f - 9. Which is smaller: j or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 2*x + 4. Let n be m(3). Let q = -39839\/147 - -271. Are q and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - 2 - 8 - -7. Suppose 4*y - d*y + 2 = 0. Let b be 60\/(-14) - 4\/(-14). What is the third biggest value in b, 1\/4, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + 6*(sqrt(5) + 0) - (2*(-1 + sqrt(180))**2 + -4).\nAnswer: -358 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9387167, -9387160, -9387149, -9387134, -9387115, -9387092?\nAnswer: -9387065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -27\/2*a**6 + 98 + 0*a + 0*a**5 + 2\/3*a**3 + 0*a**4 + 1\/7*a**7 + 78*a**2. What is the third derivative of f(c) wrt c?\nAnswer: 120*c**3 - 4860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29713.674 times -0.1?\nAnswer: -2971.3674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 0 - 2 = -4*l, 3*l - 7 = 5*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3303133003 + 2?\nAnswer: -3303133001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - (-2 - 69))\/(1\/1). Which is greater: 313\/4 or x?\nAnswer: 313\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9*c**12*c*(c**1)**11 assuming c is positive.\nAnswer: c**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91.1 + 80. Let y = -7.9 + h. Let s = y + 19.000238. What is s rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11472335 or 1?\nAnswer: 2\/11472335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4752 = -152*i - 112*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 2*f - 4. Let l be o(3). Let z(r) = -5*r + 16. Let p be z(6). Which is greater: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (315\/10)\/((-2)\/(-4)). Suppose -5*a = -2*a - z. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20*5)\/((-70)\/40)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(2189928\/(-1491) - (-2)\/7). Let a = x - 4406. Let s = a - 745\/568. Which is smaller: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 49\/65 - 4\/26. Let x(r) be the third derivative of -r**4\/4 + 23*r**3\/6 - 20*r**2 + 2. Let t be x(5). What is the third smallest value in 0.5, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/((-24)\/(-15)) + 10384\/413952*98.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 + -51. Let g = z + 244. What is the greatest common factor of 287 and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = v - 71, -3*v = -0*k + 3*k - 102. Let x = 66 - k. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -50676.\nAnswer: 53\/50676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/6707215 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 10:03 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 8 + 238 = -o + 6*o for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -y - y. Let g be 32\/42 + 4\/y. Which is the third smallest value? (a) 13 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 22 - 32 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-1 + 0 + (3 - 4)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/7, -66, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3140412, -3140421, -3140430, -3140439, -3140448?\nAnswer: -3140457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 3) in base 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 53*w**2 + 751*w + 106. Give k(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 8. Let x = 12.1 - b. Which is smaller: -0.4 or x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12233*y**2 - 2375*y**2 + 5*y**3 + 14608*y**2.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 120?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29627, 59253, 88881, 118511, 148143, 177777?\n\"Answer: m**2 + 29623*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*q - 90, -5*q = -3*l + 152 - 27. What is the remainder when 137 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7731416290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (sqrt(405) + -4*sqrt(405)))*5)**2 - (3 + 3*sqrt(720))**2.\nAnswer: -216*sqrt(5) + 155511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4545*t - 4532*t = -39 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 + g**2 + g - 2. Let p be q(-2). Let v = p - 17. Is 14 a factor of 1040\/v + 4\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406 divided by 2\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3062 + 385*y**3 - 3062)*(25*y - 44 + 44) as k*y**2 + p + w*y + z*y**3 + j*y**4 and give j.\nAnswer: 9625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 593 + -590. What is the second smallest value in 0, l, -68?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -660 - -695. Is (-79507)\/(-5) + (-14)\/o + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.02502 + 0.02502. Put -0.4, n, -19 in ascending order.\nAnswer: -19, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2996 and 5932829.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 675, 1356, 2039, 2724, 3411, 4100?\nAnswer: 4791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/(60\/(-54)). Suppose -17*x + 9 = -76. Which is the smallest value? (a) -5 (b) -0.4 (c) x (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**3 + 6*m**2 - 8. Let w(h) = -4*h**3 - 5*h**2 + 8. Determine 5*n(c) + 6*w(c).\nAnswer: c**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 44*w**2\/7 - 320*w + 7616.\nAnswer: 2*(w - 28)**2*(w + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**49*(g\/(g**(-2\/7)*g))\/(g*g**2\/g*g))\/((g*g\/g**(-2\/7))**(-4\/9))**(-1\/6) assuming g is positive.\nAnswer: g**(-545\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 10. Let c be (4\/(-6))\/(x\/(-21)). Determine r, given that -8 + 2*r - c*r**5 - 4*r**4 + 9 + 4*r**2 - 1 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 6\/7 (c) -4 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19252 to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -13076*b - 1955*b - 12034*b + 7957*b as y*b + z and give y.\nAnswer: -19108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ollla. What is prob of sequence la?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**2 + 2*f + 7. Let u(p) = 8*p**2 - p - 8. Let z(b) = 6*j(b) + 5*u(b). Let t(h) = -2*h**2 + 6*h + 2. What is -6*t(v) + 5*z(v)?\nAnswer: 2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27308 + -135948\/5. Let l = -118 + w. Factor 1\/5*o + 0 + l*o**2 + 1\/5*o**3.\nAnswer: o*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 + 73 - (6 + -36)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/18*3*6. Let j be (1\/f)\/((-2)\/(-16)). Solve -11 - j = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -13*v - 23. Let z be q(-2). Suppose -2*s = -3*s - g - 8, 19 = -2*s - z*g. Put s, -0.3, -4 in descending order.\nAnswer: -0.3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -9913 + 9640. Suppose 0 = -3*r + 2*i - 12 + 86, 4*i + 76 = 3*r. What is the remainder when b is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -8c?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j + 155*j + 40 - 40.\nAnswer: 115*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24229.164 months to decades.\nAnswer: 201.9097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/9088 and 5\/36048?\nAnswer: 20475264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(104)\/(sqrt(8) - -2*1*sqrt(8)).\nAnswer: -5 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let n(h) = -7*h - 9*h - 11*h + 23*h. Give a(n(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 1 = 3*n. Let t be 7\/(((-3)\/n)\/1). Solve 0 = 3*p - 6*v + 2*v - t, 3*p = -2*v + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (782 + -791)*(4\/(-7) + (-820)\/(-1386)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2712)\/9*(-4)\/((-20)\/15). Let y = -512 - z. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10702?\nAnswer: 2, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -15*x**2\/2 - 3*x + 2. Let p be o(-2). Is 129\/p + (-2)\/(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -1\/3, -10\/3, -6, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmjj when four letters picked without replacement from {j: 10, m: 4}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -40. Let j be (-1)\/6 + g + (-153)\/54. Put 1, j, 2, -5 in ascending order.\nAnswer: -5, j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) + sqrt(1620)*2)*2*6)\/((5*sqrt(450))\/(sqrt(6)\/sqrt(3)*-1)).\nAnswer: -216*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -58 (b) 3519 (c) -1\/3 (d) 0.3 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2. Let t(a) be the first derivative of -a**6\/60 + a**3 + 6. Let l(r) be the third derivative of t(r). What is j(l(c))?\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 45299, 14, -3 in increasing order.\nAnswer: -4, -3, 14, 45299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.75 + -0.15. Let f = 0.5 + q. Let c = 9.21 - 5.21. Put 5, c, -5\/3, f in increasing order.\nAnswer: -5\/3, f, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - u**3 + 14*u**2 + 7*u - 4*u + 17*u**2 - 34*u**2 in the form a + d*u**3 + c*u**2 + m*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**2 - 28*j - 31. What is the smallest common multiple of y(19) and 414?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 2:12 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 6)\/(13\/2028). Let i = 581 + r. Calculate the remainder when i is divided by 49.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, -0.15, 56?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-211 - 117*g**2 + 211)*(-g**2 - g**2 + 4*g**2) + 1362*g**2 + 114*g**4 - 1362*g**2 as z + s*g**2 + a*g + l*g**3 + y*g**4 and give y.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2180*k - 5 - 2187*k - 14)*(4*k + 4*k - 3*k).\nAnswer: -35*k**2 - 95*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6299156 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 1. Let t be m(-4). Suppose g + 4*z + z = 107, -t*g - 5*z + 271 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160508 to the power of 1\/2, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.054 + -38.946. Let z = j + 21. Let d = z + 13. Which is the third smallest value? (a) d (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*9402.678.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 5*u**2 + 6*u + 35. What is s(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.698423 less than -653092?\nAnswer: -652978.301577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88382.04 micrometers to millimeters.\nAnswer: 88.38204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -11\/2. Which is smaller: h or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*l**3 - 32\/3*l + 8 + 14\/3*l**2 = 0. Calculate l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) + (-3920)\/(-336)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**6\/120 + p**5\/5 + 23*p**4\/24 + 13*p**3\/6 + 43*p**2. What is the tens digit of f(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2821965821 to the power of 1\/2, to the nearest integer?\nAnswer: 53122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 5920.\nAnswer: 5924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10947*h - 93232 wrt h?\nAnswer: -10947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15*(-135)\/(-25) - -1.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25777, -25788, -25805, -25828?\nAnswer: -25857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*m + 115 + 51, -a + 26 = -m. What is the remainder when 167 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 - -2.6. Which is the closest to 1\/7? (a) m (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 8:22 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11195833 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 4*n**2 + 0*n**2 - 22*n in the form c + p*n**2 + f*n and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11344988 or -11344995?\nAnswer: -11344988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 9. Let x be f(13). Solve -x*h = h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41613*k = -41637*k - 48 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 25*s - 8. Let q(x) = 26*x - 8. Let o(t) = -2*q(t) + 3*w(t). What is the remainder when o(5) is divided by 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 6 = -4*w, x - 2*w = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118035 and 1327410?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 84*d + 2. Let r be l(-42). Suppose 5*m + 5 = -0, -4*w + r*m = -130. Solve w = -7*s + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j - 2*j**3 + 3 + 8*j**2 + 26*j + 1 + 0 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**3 - x - 1. Let k(d) = -d**2 + d. Let f(a) = 14*a**3 - 3*a**2 + 6*a + 2. Let n(o) = -f(o) + 3*k(o). What is -3*n(p) + 8*u(p)?\nAnswer: 2*p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 smaller than -615\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 + 216*z**3 - 5704*z**2 - 13824*z + 373248 = 0. What is z?\nAnswer: -8, 8, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**3 + 4*k**2 + 9. Let o be b(-4). Let z = 185 + o. Calculate the greatest common factor of z and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -58) + 68 + -280.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167054?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 u, and 1 g when three letters picked without replacement from pujjjpjuxg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 14 = f - 3*m, -3*f + 31 = 2*m. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12453860?\nAnswer: 2, 5, 17, 36629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28749 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744806021?\nAnswer: 4337, 171733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -1 + w**2 + 2*w + 1\/6*w**3. Factor h(r).\nAnswer: (r + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 - 185. Let n = a - -48. Solve -4*j + n = f, 2*f = 2*j + j - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, t: 5, u: 1}. What is prob of picking 1 u and 1 t?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3\/3 - 1264*n**2 + 56028*n - 1908632\/3 = 0. Calculate n.\nAnswer: 23, 902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 5*l + 2. Let i = 24 + -17. Suppose 33*t = 45*t - 132. Let p = i - t. Give s(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 2 - (8 + -18). Suppose 4*g = 6*g - m. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18212, -18201, -18166, -18095, -17976?\nAnswer: -17797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v - 22. Let n(u) = 2*u**2 - 13. Let j be n(-4). What is the remainder when v is divided by (15 - j)*6\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 473 and 129.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 56.5. Let u = 2\/9 - -5\/18. Let k = -1.035 - -0.035. Which is the closest to u? (a) k (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24\/11 + -212\/77. Suppose 2 = f - 2*f. Let m be 1\/2 - (f + 1). Which is the closest to -1\/4? (a) m (b) 1\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431544673 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**5 + 60*p**4 - 176*p**3 - 64*p**2 + 768*p - 704 = 0.\nAnswer: -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8535476.\nAnswer: 2, 79, 27011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/5 (b) 4\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17292059177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from kggcgffkkmgmcmgf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113538 in -1\/8, 4\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40001*c**2*x**3 + c**2*x**2 - 7*c**2*x + 2*c**2 - 15*c - 768*x**2 + 4748*x wrt x.\nAnswer: 240006*c**2*x + 2*c**2 - 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 divided by -406?\nAnswer: -132\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {i: 7, z: 1, v: 8, a: 2}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 4, -4973, 3, -1.\nAnswer: -4973, -2, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 11*z. Suppose 5*j = 6*k - 3*k - 63, 4*k - 73 = 3*j. Sort z, k, -5 in descending order.\nAnswer: k, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32681 is divided by 1045?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 4)*(1 + 1 - 1)*(3*m**5 + 0*m**5 - 2*m**5).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**5\/30 + 19*x**4\/42 - 8*x**3\/7 - 238*x**2. Solve b(h) = 0.\nAnswer: -6, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23960 and 1279464.\nAnswer: 6397320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 62 = 1340*g - 1343*g, -4*g + 4*l - 40 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5))**(36\/7)\/(s**17\/(s\/(((s**(-2\/83)*s)\/s)\/s))) assuming s is positive.\nAnswer: s**(-23641\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82327*g - 164536*g + 8*g**4 + g**3 + 82295*g to the form f*g**2 + c*g + j*g**3 + m*g**4 + y and give c.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x - 71. What is r(-11)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (5796\/(-132) - -26)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - f - 7 = 0, -5*d = -2*d - 5*f + 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021100 (base 3) to base 14.\nAnswer: 4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 + 276 = 117*s, d + 5*s - 15 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 19.7 + -818.78396258\nAnswer: -799.08396258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhbxzzbhbzxhzzzq. Give prob of sequence hh.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**4\/12 - 5*j**3\/6 + 2*j**2 + 3*j + 11. Let f be h(-3). What is the highest common divisor of f and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 3*c**3 + 2*c**3)*(7*c + 3*c - 5*c) - 4*c**4 - c**4 + c**4 + 90*c**4 - 4 + 4.\nAnswer: 101*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11292375?\nAnswer: 3, 5, 30113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4\/(-6)) + (-28)\/(-147)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 8*l + 52 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41980 is divided by 41975.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 824.4 times 8.66\nAnswer: 7139.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {x: 2, t: 3, u: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212*g**5 + 15*g**2 + 45682*g?\nAnswer: -4240*g**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/(-54)*16\/(-280)*28\/(-10). What is the nearest to 0.2 in -976, 3\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1754*v**4 + 8291*v**2.\nAnswer: -42096*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 1:43 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 5*c**4\/24 - 3*c**3 + c**2. What is the units digit of t(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -54 - 125*z + 106*z + 12 + 72*z. What is the tens digit of l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)*k\/((k**(-2)*k)\/k))\/((k*k\/(k\/k**(-5))*k)\/(k**(-1\/9)\/k)) assuming k is positive.\nAnswer: k**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 + 4 - 2*u - u**2 - 2*u**3 - 6 - 3*u. Let q be f(-4). Is q + 1 - (3 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-13) + (-1348)\/(-26). Calculate the highest common factor of 130 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154274 is divided by 8392?\nAnswer: 3218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - m + 5. Let p be s(0). Suppose -42 + 138 = 4*b. Suppose p*j - 23 = -n, 3*n - b = 3*j + 63. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3343?\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2 + 2 - 1 - 2. Let p(m) = 2. Let d(k) = -3*p(k) + 5*q(k). Let l(z) = -z**3 + 3. Calculate 6*d(u) + 2*l(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uauaagauacugqaucqaa. Give prob of picking 1 u and 1 c.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 8*b**3 + b**3)*(0*b + 2*b**2 + 0*b) + (-42*b + 42*b - 11*b**3)*(-2*b**2 + b**2 + 33*b**2).\nAnswer: -344*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -20568 greater than -20564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4\/4 - 2*a**3 - 7*a**2\/2 + 3. Let l be r(7). Suppose t + 5*i = -3*t + 2, l = -5*i - 10. Solve 0*o + t = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.0459 milligrams in kilograms?\nAnswer: 0.0001940459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4047794.\nAnswer: 2, 31, 65287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*r**2 - r + 30*r**2 + 3*r)*(-2 - 13 + 33).\nAnswer: -36*r**2 + 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:04 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -390852 at most -390615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*v = 182*v + 24. What are the prime factors of (2*-675)\/(-3) - v?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14085062?\nAnswer: 2, 23, 127, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 411824642 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311238455.\nAnswer: 5, 11, 2029, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24222?\nAnswer: 2, 3, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4170.196 micrometers to kilometers.\nAnswer: 0.000004170196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2337076*u - 620. Let q be s(5). Round q to the nearest 100000.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1397599878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 22 = -l - 2*z + z - 1, 4*l - 875*z = -879*z + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*w + 3*c + 2, 2*w - 3*c = -2. Suppose -w*b + 6 + 19 = 0. Suppose 3*n - 39 = -3*a, -2*n + 30 = -a + b*a. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -28)\/(12\/12). Calculate the remainder when 38 is divided by k + (-13)\/((-104)\/(-32)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1915106, 1914333, 1913574, 1912835, 1912122, 1911441, 1910798?\n\"Answer: l**3 + l**2 - 783*l + 1915887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 2*b**7\/21 - 5*b**3\/6 + 6*b. What is the second derivative of p(y) wrt y?\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q - 315 = 0. Let z = -97 + 106. Calculate the highest common factor of z and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31803094 divided by 16.\nAnswer: 15901547\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3080\/117 - 270\/13. Let r = 725 - 6523\/9. Let 20\/9*m - r*m**2 - a = 0. Calculate m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) -26.86863 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7376309586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)\/((-3)\/15). Suppose h - n + 1 = 0. What is the highest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232224 (base 7) to base 5.\nAnswer: 20044033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252756 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, q: 1, r: 4, g: 1, b: 3, s: 5}. Give prob of picking 2 b and 1 q.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5482100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-3*sqrt(363) + -1)*5)**2.\nAnswer: -9900*sqrt(3) + 2940325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4102, -4111, -4118, -4123, -4126?\n\"Answer: u**2 - 12*u - 4091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - i + 117 = -117, 5*f - 280 = 5*i. Suppose -f*o + 63*o = 3315. Is 39 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, -40\/7, 9 in ascending order.\nAnswer: -40\/7, -0.22, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 14036.8 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 2*n - 2. Let v = 2 + 0. Suppose 2*s + v*s + 41 = -5*u, -5*s = -u + 15. Let l be s - -2 - 0\/1. Calculate r(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294570811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/760 and (9\/42)\/(-8 + (-8708)\/(-1421))?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 6*l + 5. Let c(i) = -25*i + 18. Let k be c(1). Give d(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12660 (base 8) in base 5?\nAnswer: -134202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(9)*4*2)\/(sqrt(10)\/(sqrt(12)\/sqrt(600))).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003470158435 to 6 decimal places.\nAnswer: -0.00347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127124 - 83824. Round k to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 14*p - 5. Let a be w(-14). Let r = -2 - a. Suppose r*h - s - s - 148 = 0, 5*s + 25 = 0. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 4ab?\nAnswer: -4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (8 - (-20 - -14)) - (5 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31021 - 1?\nAnswer: 31020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((100\/8)\/(-5)). Which is the nearest to i? (a) -1 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 + -737\/7. Let x be 9\/60 + 2\/(-5). Let t = 3.9 + 1.1. What is the nearest to x in -1\/2, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 34 = -4*k, 3*k + k - 6 = y. Suppose 2*z = 55 + 21. Suppose -4*a + 2*a = -z. Calculate the remainder when a is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/3 + 20*w**3\/3 - 17*w**2\/3 - 38*w\/3 = 0 for w.\nAnswer: -1, 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-16)\/2*-6. Suppose 0*y = 5*y - 20, 3*u = 4*y - 49. Let n = f + u. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 - 8 = 2*r, -r = 4*s + 4. Let o(x) = -5*x**2 - 10*x + 3. Let d(p) = -3*p**2 - 7*p + 2. Let t(i) = r*d(i) + 5*o(i). Calculate t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 11) in base 7?\nAnswer: -1106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 875*c**2 + 1134*c**4 + 3*c - 6*c + 3*c + 1430*c**2 wrt c?\nAnswer: 27216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 5*l + 6. What is g(3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 362991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -10*(12\/9 + 38048\/(-87)) and 436.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8376507499?\nAnswer: 353, 1483, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5 + 1. Suppose r*q + 15 = 5*q. Let z = -23 - -34. What is the lowest common multiple of q and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*4\/24*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.4833 kilometers to nanometers.\nAnswer: 71483300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 45. Let a = 7 + n. Let b = a + -12. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, z: 2}. Give prob of sequence zwzw.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d + 33*d + 27504 = 0. Which is bigger: 1147 or d?\nAnswer: 1147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149316 divided by 276\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.075 (b) 69 (c) 4 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 5, s: 6, l: 1}. What is prob of picking 1 s and 1 x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72315.4 or -108.1?\nAnswer: 72315.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*m = m - 1, 2*j - 3*m = -5. Is -1\/16 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -3*d + 14. Let q be (-1)\/4 + (-645)\/d. Let a = -13 - q. Is a greater than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (16 - 0) + (-2772010)\/(-13325) + -222.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 3654?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27294808?\nAnswer: 2, 3411851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -22, -3 in increasing order.\nAnswer: -35, -22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0212523837 rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(16\/7)*r*r\/(r**(-24)*r)*r assuming r is positive.\nAnswer: r**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**2 + 2*p. Let h(i) = 66*i**2 - 1035*i + 1050. Let b(x) = -h(x) + 9*w(x). Factor b(v).\nAnswer: -3*(v - 350)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72114312687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/1 + (1 - 4). Suppose -19 = -v + r. What is the remainder when v is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36997000 to the nearest one hundred thousand.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(34)\/(2*sqrt(4)\/sqrt(2)) + sqrt(102)\/(sqrt(384)*1 - sqrt(6)))**2 + 0.\nAnswer: -6885\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (1 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -350\/9, -89, -0.5, 0.01, -3\/7, -2\/5?\nAnswer: -350\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 10. Let h(c) = 3*c - 11. Let i(k) = -3*h(k) - 4*o(k). Let q be i(-4). Let y = q + 6. Solve y*n = n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2 - 2*c - 1. List the prime factors of r(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a + 7161?\nAnswer: 7114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 1, z: 3, w: 6, s: 3}. Give prob of picking 2 w and 1 z.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -35, 3*u - 11794 - 47092 = -r. List the prime factors of u.\nAnswer: 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -508*t - 1435*t - 2529*t**5 - 516*t + 663*t wrt t.\nAnswer: -50580*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.505 + -12.505. Which is the smallest value? (a) 6 (b) -4 (c) 3.4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*-222\nAnswer: 2886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -15*z**5 - 1395*z**4\/2 - 9189*z**3 - 15066*z**2 - 8748*z - 199. Suppose k(y) = 0. Calculate y.\nAnswer: -18, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8862 divided by -6.\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/30)\/((-63)\/(-189)). Let f = 0.28 - -0.02. Which is the smallest value? (a) -2\/11 (b) g (c) f (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -693, -1269, -2353, -4047, -6453, -9673?\n\"Answer: -17*x**3 - 152*x**2 - x - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19891624.\nAnswer: 2, 73, 34061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, n: 4, d: 1, w: 1, p: 1}. What is prob of picking 4 n?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*m + 16 = 0, -m + 3*m = 8. Suppose 120 = 3*i + 2*b, l = -2*b - 5. Suppose -5*c + i = -13. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5387*l**2 + 1 - 5378*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1971, 3953, 5943, 7941, 9947, 11961?\nAnswer: 13983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 28*a - 70*a - a**2 - 3 + 36*a. Let u(m) = -m**2 - m - 1. Let n be u(2). Let h = -13 - n. Give i(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (101 - (119 + -76)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17480 and 267195784?\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 96, 523, 1692, 3975, 7744, 13371?\n\"Answer: 62*c**3 - c**2 - 4*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2175227 or 2175489?\nAnswer: 2175227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -387*c**2 + 1806*c - 178354 wrt c?\nAnswer: -774*c + 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560\/168*(-720)\/700?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.7 - -1.326.\nAnswer: -11.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 3*r**4\/4 + 4*r**3\/3 - 2*r**2 - 406. Give z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, 8, -1, -0.1, 26032?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:19 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 3*v. Let s(u) = -3*u. Let z(x) = -5*i(x) - 4*s(x). Let y = -2 - 0. Let r be -4*(5\/(-5))\/y. Give z(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.38239nm in meters?\nAnswer: 0.00000008338239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - 2*u**3 - u**3)*(9 + 6 - 49).\nAnswer: 102*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 179302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 - 1 + 1 - 2*t**3 - 2*t**2 + 2*t**2 + (-5*t**2 + 5*t**2 + 2*t**2)*(4*t - 2*t + 0*t) - 3*t**3 - 2*t**3 + 7*t**3 - 866 + 866 + 10*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 1, 0.692, 0.022, -1, 0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 24*d**2 + 23*d - 48. Let w be j(-25). Let m be (1\/(-2)*(-1533 + -31))\/w. Calculate the greatest common divisor of 69 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l. What is f(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 8:49 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44115440 (base 6) in base 9?\nAnswer: 2426136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 692\/28 - (-2)\/7. Suppose -8*q + 7*q = -p. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 90, 135, 198, 279, 378, 495?\n\"Answer: 9*m**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + -5 + 4 + 2 + -20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 320, 721, 1298, 2057?\nAnswer: 3004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.43 + 0.43. What is the nearest to -0.1 in -0.2, -0.4, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 2*k**2 - 238. Let x(p) = 6*p**2 - 2*p**2 - p**2. Give x(a(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/(-7) - -6) + (-4)\/(-14). Let w(g) = 172*g**2 - 6*g - 345*g**c - 4 + 174*g**2. Determine w(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -1)*6.\nAnswer: -6 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -938, -3202, -7620, -14912, -25798, -40998, -61232?\nAnswer: -87220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2113674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5 + 578*y**4 + 42662*y**3 + 200766*y**2 + 114336*y - 358344 = 0. What is y?\nAnswer: -158, -126, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 - 2*r**2 - 4*r - 6. Let l be z(3). Let x = l - -7. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/3677049 and -44\/4131.\nAnswer: 33093441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 12:43 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564 = -66*i - 75*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 20\/(-11) - 26\/(-143). What is the greatest common divisor of o and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5520550, -11041102, -16561654, -22082206, -27602758, -33123310?\nAnswer: -38643862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - 16*b - 69. Let s(k) = -k**2 + 2*k + 3. Let y(a) = -o(a) + 4*s(a). Let i be y(27). Solve i = -4*z + 4*c + 8, -z - z + c = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15404 + 15403.9999979031. Round y to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(11\/110 - (-4)\/10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -23*l. Let m(r) = -714*r. Suppose 0 = 3*s - 4*k + 2, 2 - 6 = 4*s - 5*k. Give s*m(b) + 187*z(b).\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*w + 2*p, 0 = -2*w + 5*p - 0 + 50. Suppose -4*d + 2*d + 184 = 5*a, -5*a = -4*d - 172. Calculate the remainder when a is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 3*i - i)*(0*i - 14*i - 31*i).\nAnswer: 135*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 + 3*c + 5. Let x(p) = -25*p**2 - 7*p - 11. Let l(h) = -52*h**2 - 14*h - 22. Let i(n) = 6*l(n) - 13*x(n). Determine 9*a(t) - 4*i(t).\nAnswer: 2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -489 greater than or equal to -480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 91169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 43 (b) -8.9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(38 + 57 + 3597*l + 61 + 36 - 171) to the form t*l + r and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*g + 141 + 1209 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 30903.1?\nAnswer: -432643.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 112*t + 3091. Calculate o(-59).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -112.27, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.45718\nAnswer: 1.82872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1ba9216 (base 12) to base 8\nAnswer: -26535762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-one quarters of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-3))\/((-8)\/12). Let i be (-16)\/(-6)*(-3)\/(-2). Suppose 0*b + y + 169 = 3*b, -i*y + 276 = 5*b. Calculate the greatest common divisor of b and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 422 - 427. Let b(a) = -98*a + 62. What is the tens digit of b(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1579, -1578, -1589, -1618, -1671?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*u**3 - 833*u**3 + 338*u**3.\nAnswer: -129*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 + 160. Calculate the least common multiple of 7 and f.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1935.7402 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -378, -301, -172, 9, 242, 527, 864?\n\"Answer: 26*w**2 - w - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54543145 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3113 + -11?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747201669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 299700 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 6, -5, -10 in descending order.\nAnswer: 91, 6, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5052136 or -5052135?\nAnswer: -5052135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(2*sqrt(3) - sqrt(3))*-3.\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64 and 10.95304202.\nAnswer: 74.95304202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 188\/(-720) + (-8)\/36. Let x = 7\/20 + k. Which is the fourth smallest value? (a) 5 (b) 0.01 (c) -3\/2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6563659.0677 - 0.14\nAnswer: -6563659.2077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-10))\/(70\/20)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49420 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 314390723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -162919*j + 3. Let p(l) = 2*l. Calculate p(z(y)).\nAnswer: -325838*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*b**3 + 55*b**2 + 260*b - 60.\nAnswer: -5*(b - 3)*(b + 2)*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - -3.99. Let r = 0.17 + 1.23. Let h = -1.2 + r. What is the third smallest value in -5, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3869332552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1585551*y**6 + 201181*y**2 + 2 wrt y.\nAnswer: -190266120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-99)\/(-45) - (-1)\/(-5). Suppose 5*y - v*i - 70 = 0, 3*y + 0*y - 3*i - 33 = 0. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 9:23 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*t - 6, -2*t + 2 - 6 = 0. Let i be 16 - 23 - (0 - -41). What is the common denominator of -137\/12 and g + ((-236)\/i - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 1\/80*l**5 - 1\/168*l**7 + 1\/48*l**4 + 0*l**3 + 0*l**2 - 1\/120*l**6 + 4*l + 0. Factor w(j).\nAnswer: -j**2*(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2. Let t be (1\/(-2) + 2)\/(12\/52). Let g(l) be the first derivative of -7 + 0*l - t*l**2. Calculate r(g(s)).\nAnswer: 169*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-6\/7))*g*g**6)\/((((g*g**2\/g*g)\/g)\/g)\/g**(-7)))**29 assuming g is positive.\nAnswer: g**(-377\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-9)*-1*(-31 - -41)\/(-49 - -59).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + (-13 - (2 + -11)). Solve -10*p - 25 = -g*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 + 2048*a - 27300 = 0. What is a?\nAnswer: -525, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 + 0 - (5 - 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h - 9*h - 2*h. Let m(n) be the third derivative of 0*n + 5*n**2 + 0*n**3 + 0 - 1\/24*n**4. Determine r(m(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*g = -0*g, 18 = 2*j - 5*g. Let z = 0.49 - 0.09. Let h = z - 0. Which is the second biggest value? (a) j (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11026*n + 11323*n - 3264*n - 2013568 = 3354*n for n.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -243*n**5 + 19035*n**4 + 51840*n**3 + 52200*n**2 + 23280*n + 3888 = 0.\nAnswer: -2\/3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6976300.\nAnswer: 2, 5, 69763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002868699 rounded to 7 decimal places?\nAnswer: 0.0002869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1193*i + 3627*i - 1202*i - 877*i + 3. Let u(t) = 2*t**2. Give u(y(l)).\nAnswer: 252050*l**2 + 4260*l + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.324 and -4.\nAnswer: 1.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**4 - 753*k**3 - 9*k**2 + 2253*k + 1506 = 0.\nAnswer: -1, 2, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/6 - (-750)\/180. Find the third derivative of -94*a**2 + 2*a**5 + 24*a**2 - 44*a**4 - 44*a**2 + 14*a**s wrt a.\nAnswer: 120*a**2 - 720*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q - 12. Let s(n) = -7*n + 24. Let x(v) = -10*g(v) - 4*s(v). Let o be x(18). Let m = 275\/23 + o. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134688 = -4221*j - 20152 - 22442 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -25*p - 693. Let z(a) = 20*a + 1. What is -k(q) - z(q)?\nAnswer: 5*q + 692","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296592533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 + 53 = -10*c. Solve -15 = c*z + 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31641743 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1018 + -6605\/6. Let f = j - -83. Let k(i) = -i + 2. Let s be k(4). Sort s, 0.1, f in decreasing order.\nAnswer: f, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - 3044332?\nAnswer: -3044404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44473491 to the nearest integer?\nAnswer: 6669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 630.5 * 32986\nAnswer: 20797673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 14*h - 25. Let k be o(14). Put 1, k, 4 in descending order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*n - 4*j - 8, -2*n - 4*j = -28. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(101\/102 - 1)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/5? (a) 5 (b) 1 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4\/4 + 30*h**3 - 1705*h**2\/4 - 30*h + 425 = 0. What is h?\nAnswer: -34, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+0.03538\nAnswer: -0.26462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 13\/15*k**5 + 0*k**7 - 5\/48*k**8 + 0*k**3 + 0 + 0*k**4 + k - 1\/120*k**6 - 59*k**2. Find the third derivative of r(v) wrt v.\nAnswer: -2100*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 2891099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 2 - 0) + 16 + -20. What is the units digit of 1303\/5*(b - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181305 - 2*j + 543925 - 181315 - 181305.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 + 2*m - 6. Let z be q(4). Let w be (-2)\/9 - (-76)\/z. Factor -b**2 - w*b**2 + 13*b**2 - 6*b - 5*b**2 + 3.\nAnswer: 3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22687 divided by 50?\nAnswer: 22687\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -583*q + 1642*q + 558*q + 856*q + 399*q as c + u*q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 - 6*c**2\/5 - 12*c\/5 + 16\/5.\nAnswer: 2*(c - 4)*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 434489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/((-18)\/480). Suppose -28 = -4*u + z. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*j + 19, 4*g + j + 21 = 7. Put g, -1, -5, 3 in decreasing order.\nAnswer: 3, -1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.059 - 0.059. Let q = r + -26. Let c be (3\/(-18))\/(2\/3)*1. What is the biggest value in -1\/2, c, -3, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 0*t - t + 5*t - 6*t. Let z(k) = -3*k - 2. Let b(x) = x + 1. Suppose -4*l - 20 = 0, 7*a + 4*l = 3*a - 16. Let u(j) = a*z(j) + 2*b(j). Give v(u(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 19*q**2 + 97*q - 12. Does 17 divide y(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 2)*1\/(-1). Suppose -6 = c*a - a + p, -4*p = a + 10. Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - ((-8)\/4 - -1). Let k = 3.2 - 3. Let b be ((-2)\/(-4) - 0)*-1. What is the closest to b in 5, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.09 + 32. Let m = -0.19 - i. Let y = 16\/3 + -5. What is the closest to m in -5, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29055 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*r**2 + 8619*h**2*r**2 + 18*h*r**2 - 10*h*r - 2*r**2 - 2 wrt h?\nAnswer: 6*h*r**2 + 17238*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/(-27) - (1 + -1) and -22*(-3)\/(-9)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0 - 4. Let l = -4 + -8. What is the tens digit of t\/l + 47\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/((-1)\/(20\/120))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25\/2 - 13. Let g = -0.3 + 0.4. Let l = 0.2 - g. Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*h + 1801 = 268 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-2\/9)*j*j**(-5\/3)*j assuming j is positive.\nAnswer: j**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f**3 + f**2 + 2*f + 105. What is the remainder when q(0) is divided by 86?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 729153916 and -2081.\nAnswer: 729151835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5 = w + 3, 3*n = 4*w - 8. Solve n = 2*d - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -32. Solve 0 = t + w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**6\/g*g*g*g))\/g*g)**(-19))**(6\/7))**(-41) assuming g is positive.\nAnswer: g**(-4674)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133734*f + 131594*f - 196880 for f.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13c330 (base 15) in base 12?\nAnswer: 39b246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161415\/246964 + 15\/2129. Let m be (2\/145)\/(4 - 290\/75). Let i = m - g. What is the fourth biggest value in 0.5, -5\/9, -3\/5, i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2764617000 to the nearest 1000000.\nAnswer: 2765000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*o = 27, 2*o - 5 - 1 = 0. Suppose 13*b = f*b + 8. Suppose -b*s + 1 = -2*m - 1, -3*s = -5*m + 3. Solve 12 = 4*v, -3*k - 14 = -m*v + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -6*j + j. Suppose 3*v - 36 = w, 0 = -4*v - v + j*w + 60. Solve -4*b + b = v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279006764 is divided by 13293.\nAnswer: 13280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.83 - 0.17. Which is the closest to -1? (a) 0.4 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344931246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -39241, -2\/181, 0.01?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43248 and 3968?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgggmgddgdigdhg. What is prob of picking 4 g?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2\/7, 0.08?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/21*5\/(-10)*3\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/4)\/(130249\/(-1618))\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 410863824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**5\/20 - j**2. Let n(q) be the first derivative of -2*q**3\/3 - 8. What is h(n(s))?\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 2, v: 2, o: 2, l: 3}. What is prob of picking 1 o, 2 d, and 1 l?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -67, 0 in decreasing order.\nAnswer: 3, 0, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 1008873306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14522 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(2\/15)\/(q*(q\/(q\/q**3*q*q))\/q*q*(q*q*q*q*q**(1\/2))\/q))**(-6\/19) assuming q is positive.\nAnswer: q**(169\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from oambvdm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/120 + f**5\/12 + f**4\/4 - f**2. Let c be w(6). Solve c*q - 3*q = -6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/138? (a) -0.5 (b) -3\/5 (c) -2.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27094071.\nAnswer: 3, 41, 181, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59\/26 - -10\/13. Let m = -11\/6 - z. Which is the closest to m? (a) 3 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49351042 to the power of 1\/3, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4439*k + 2220*k - 3*b = -2220*k - 11, -16 = -k - 6*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + i**2 + 5*i + 788. What are the prime factors of y(0)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2.5, 44, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544396112 to the power of 1\/2, to the nearest integer?\nAnswer: 39299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(234) - (sqrt(234) - sqrt(234)*-4 - sqrt(234)))*4)\/((sqrt(200) - 1*(sqrt(200) + (sqrt(200) - sqrt(200)*4) + sqrt(200)))*-5).\nAnswer: -36*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3*8\/(24\/55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b = 4*z - 58, 0 = -2*z + 5*b + 34. What are the prime factors of (84\/(-10))\/(z\/(-320))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -5*g**3\/3 + 39*g**2\/2 - 19*g. Differentiate u(o) with respect to o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 2*n - 2 - 3. Let f be ((-42)\/(-12))\/(91\/26) - 8. Calculate a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5565 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.59 (c) 4 (d) 12 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (11 - 0 - 8) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 6) in base 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (-6*4*sqrt(91) - sqrt(91) - sqrt(91)))\/(sqrt(7) - (sqrt(7) + sqrt(343)*3)).\nAnswer: -9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-27)*r**(-26))\/(r**(1\/14)\/r**(-20)) assuming r is positive.\nAnswer: r**(-253\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v. Suppose 6*h - h - 15 = v. Let d = -2 + 10. Calculate the remainder when d is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001539 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*j + 54 + 156*j - 40*j - 35*j.\nAnswer: -2*j + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 18 + 12. Let z = -4 - v. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1150 in 1.2, 3\/5, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 11, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84613, 169234, 253867, 338512, 423169, 507838, 592519?\nAnswer: 677212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 1. Let r = 2994 + -2996. Let k = -2 + 1.9. What is the nearest to k in c, -3\/8, r?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 316 - 311. Find b, given that -x*b**4 + 24*b**3 + 15*b**3 + 27*b**3 - 86*b**3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/9218 and -173\/1355046.\nAnswer: 1355046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 4 = 60. Suppose 0 = 4*a + 3*i - s*i - 1103, -3*a + 821 = -5*i. What are the prime factors of a?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/7)*d**4*d)\/(d**(-2)\/d**(-3\/2)))**11 assuming d is positive.\nAnswer: d**(913\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 4, h: 1, b: 9}. Give prob of sequence aa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 181930 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 - 56 - 16*o - 5*o - 11*o as r*o + s and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 718110817*y**2. Let l(f) = 2*f. Calculate i(l(q)).\nAnswer: 2872443268*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2 and 7 + -3 - (-309)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2566*j + 255. Determine m(0).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3988981 is divided by 596.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -24*x**2 + 1. Let z(b) = 223*b**2. Determine g(z(l)).\nAnswer: -1193496*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.74*8.\nAnswer: -5.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5958304*s**3*y**3 - 8506830*s**3 wrt y?\nAnswer: -17874912*s**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 3433*q**6\/30 - 2555*q**3\/6 - 22*q**2 - 19. Find the first derivative of u(b) wrt b.\nAnswer: 41196*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.1 - 18.05. Which is smaller: o or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bfbffyfyyfffy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36, 44, 56, 72, 92?\n\"Answer: 2*c**2 + 2*c + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 220, 188, 106, -50, -304, -680, -1202, -1894?\n\"Answer: -4*i**3 - i**2 - i + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - 0.2. Let l = -0.365 - -146.365. Let q = l - 145.6. Which is the biggest value? (a) q (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000744506835 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*(-3)\/3)\/1. Suppose t - 2*t = 4, -2*u + w*t = 0. Is (u\/6)\/((-2)\/75) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*m + 296, 4 = -3*m + 1. Suppose 3*h - 2*v - 164 = 0, -4*h = -2*h + v - s. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -4488888\nAnswer: -4488888","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -153049 = 1698*g - 122485 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*r**5 + 4942*r**4 + 6472136*r.\nAnswer: -80*r**3 + 59304*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 356999985\/(-21)) + (-10)\/35. Let d be 4 - 6 - t*2. Round d to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and 4832.12.\nAnswer: 188452.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -32 - 38\/3*a**3 + 67\/2*a**2 + 0*a. What is the second derivative of o(f) wrt f?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*s - 17. Suppose -s*j = -5*j - 2. Let v(a) = 76*a**2 + 3*a + 1. What are the prime factors of v(j)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 19*d**2 - 2*d - 2. Let x be o(-19). Let c be ((-5)\/(-2))\/(15\/x) + -2. Suppose 2*u - 3*l = -37 + 482, c*u = 5*l + 889. Is u a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8129389 divided by 14?\nAnswer: 8129389\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - y**2 - 4)*(-428*y + 1373*y - 645*y) to l + u*y**3 + b*y**2 + c*y and give u.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2071526, -2071527, -2071528, -2071529?\nAnswer: -2071530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:36 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 47*f + 250 = 0, 4*b = -105*f + 109*f + 32 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x + 20. Suppose 0 = -x*f - p + 10, -f = -p + 4*p + 12. What is the nearest to -0.1 in 5, f, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 388 = 4*v, -3*o = -2*v - 38 - 273. Let j = 105 - o. Solve -2*y = -j*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -86 - ((6 - 3) + 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17718112477\/58 - 305508997. Let z = 9642 - -14658. Let b = i + z. Find the common denominator of -9\/4 and b.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 139368 and 132.\nAnswer: 1533048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101000 - -101?\nAnswer: -101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**2 - 15*g**2 - 1 - 85*g - 96*g**3 + 1.\nAnswer: -96*g**3 - 4*g**2 - 85*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 9*x + 6. Suppose 13 + 5 = v. Suppose -5*q = -7 - v. What is the remainder when q is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 18*v + 40. Suppose -2*j + 60 = j. Let t be q(j). Solve t = -h - 1 + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64019342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 12, -3*q = 2*c + 191 - 167 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 7*s + 120. Let k = -14 + 19. Let w be k\/3 + (-6)\/(-18). Solve 0 = -4*x + s - w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(4 + -1 + sqrt(72))*-4 + 5))**2.\nAnswer: 10176*sqrt(2) + 21241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 28 = -5*p, 0 = 5*q - 2*p - 0*p - 5. Let z(d) = -22*d + 47*d - 8*d - 3 - 12*d - 8*d. What is z(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -71. Which is the nearest to -5? (a) s (b) -2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100001000101 - 1101110?\nAnswer: 111011111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d - 4 = -s, 3*s = -2*d + 4. Suppose 16*m - 74 - 97 = -11. Solve s = 4*w + m - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/9 - 380*z\/3 - 18050.\nAnswer: -2*(z + 285)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 31 - 23 = 0. Let a be 112\/s - (-6)\/(-27). Let d be 6*(20\/a + -3). Solve d = l - 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40600000 to the nearest one million.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b**3 - 4*b + 4. Let s(c) = 119*c**3 - 15*c + 33 - 6*c - 12*c - 47*c**3. Determine -33*a(o) + 4*s(o).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1356201550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 - 2*i**4 + i**4)*(1 - i - 1 + (7 + 17 - 7)*(0*i + 4*i - 5*i)).\nAnswer: 36*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25621\/13840 + 137\/80. Let d = a + -4181\/1038. Calculate the common denominator of d and 7\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 45.2. Let r = 28.85 + -27. Let u = l - r. Which is the second smallest value? (a) u (b) 3\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44422, -1.4, 4, -3\/8 in decreasing order.\nAnswer: 44422, 4, -3\/8, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26055 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27146)\/9695)\/((-2)\/(-10)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18037700 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4 - 30*w**3 + 63*w**2 - 32*w = 0.\nAnswer: -32, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -0.3 (b) 21 (c) -37 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 - 4*z**2 + 5*z**2 - z - z in the form w*z**3 + k*z + s + i*z**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 12:46 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 554 - 554. Let s = 3.01 + -0.01. Let c = t - s. What is the second biggest value in 0, 3, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2816) + sqrt(2816))\/(-1*sqrt(256)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f - 6. Let o(i) = i - 1. Let a be -3 - (0 + 2 - -1). Let r(v) = a*o(v) + b(v). Let g(t) = 29*t**2. Calculate r(g(y)).\nAnswer: 58*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121325 and 1380.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144*35\/9240)\/((-8)\/(-66)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217970 is divided by 281.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*l - 3*l. Let x(k) = 2 + k - l + 0. Let f(g) = 2*g. Calculate x(f(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50266989, 100533975, 150800961, 201067947?\n\"Answer: 50266986*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from uuuuuuuuauuuuuuuuuu?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22110221222202 (base 3) to base 2.\nAnswer: 10001001100010000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.912 - 353.688. What is h rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f - 45. Let j be k(9). Solve 6 = -3*g + 2*l + 3, l = j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 10 (c) -5564 (d) 99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.82 to 1 decimal place.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q - 33. Let d(i) = -17*i + 133. Let o(b) = 2*d(b) + 9*f(b). Let r be o(16). Which is bigger: r or 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11200020 - -10?\nAnswer: 11200030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1402.9 + 1402. Let p = -8 + 17. Let g be (-12)\/5 - p\/15. What is the nearest to 0.2 in g, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 589 divided by -436\nAnswer: -589\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/229 > 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -126.1345496 and 15.\nAnswer: -111.1345496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -0.42 * -0.05\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122212021101 (base 3) to base 10.\nAnswer: 351577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1641, -1620, -1587, -1542, -1485, -1416, -1335?\n\"Answer: 6*g**2 + 3*g - 1650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*l + 95*l - 15 = 3*u, 11*l = 4*u + 145 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**4\/4 + 7*n**3\/3 + 9*n**2\/2 - 6*n - 30. Calculate x(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4863555\/17 less than -286091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 11. Let i = b + 6.3. Let s = -0.29898 + i. Round s to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 + 2*v**2 - 5*v. Let m(r) = r**3 + r**2 + r. Determine k(g) + 4*m(g).\nAnswer: 2*g**3 + 6*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -56. Sort 4, u, 0.01 in increasing order.\nAnswer: u, 0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.82 + 0.665. Let w = n - -4.435. What is w rounded to one decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 4*v + 15, -1309*y = -662*y - 652*y + 48*v + 1 - 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 125\/750 - 13\/42. Sort 1\/4, z, 0.05, -2, -2\/9 in decreasing order.\nAnswer: 1\/4, 0.05, z, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00157 rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13488)\/204 - -15 - 10\/(-85).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 2. Let n be s(2). Suppose -38 = n*p - 4*p. Calculate the lowest common multiple of p and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10008, 9607, 9202, 8793?\nAnswer: 8380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -10. Let m be -1*(-1)\/2*b. Let y be 1 + 1 - (-2 - m). What is the biggest value in 2\/9, 2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842069964 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.3249 to zero dps.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840771937 is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - 20004024?\nAnswer: -20004100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*w + 732*w = -69 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15184427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*t**4 + 74540*t**3 + 389405*t**2 - 4918540*t - 471900 = 0.\nAnswer: -11, -2\/21, 6, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**6\/360 + s**5\/60 + 15*s**4\/8 - s**3\/2 + 14*s. Let o(r) be the second derivative of t(r). Is 9 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 13 + 1. Suppose -2*d - 598 = -4*w, 3*d = -v*w + 7*d + 604. Calculate the smallest common multiple of w and 6.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -190*b - 117 - 263 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3062374*c**5 - 3713889*c wrt c.\nAnswer: 61247480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*t - 95, -22 = -4*x - 38. Let q(r) = -r**3 + 5*r**2 + 6*r + 5. Let b be q(6). Calculate the highest common divisor of t and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -60, 2\/11, 0.012, -1, 5, -169, -2\/11?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x + 12*x - 10*x. Let d(t) = 1 - 8 + 7 - 11*t. What is d(m(b))?\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -1.8. Which is the biggest value? (a) f (b) -3 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19190451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 215 - 248. Let z be (-4826)\/(-1045) + (-6)\/y. Factor -48\/5 - z*m - 3\/5*m**2.\nAnswer: -3*(m + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.2 - 7. Let i = -7 + h. Let m = i + 2.799976. What is m rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225 + 119. Suppose 0 = 32*z - 23*z + 1044. Let r = y - z. What is the smallest common multiple of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(63) + (3*sqrt(441) + sqrt(441))\/sqrt(7))\/(sqrt(9) - sqrt(441)*-2) - 5*(sqrt(847)*-1 + -5 + 2).\nAnswer: 15 + 277*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 7. Let s be q(-7). Suppose 3 + 3 = 2*a. Suppose s*z = a*z - 9. Solve -z*m + 20 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**3 - 111*v**2 - 63*v + 5. Let l(z) = -5*z**3 + 110*z**2 + 84*z - 6. Give -3*l(d) - 4*w(d).\nAnswer: -13*d**3 + 114*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/2 + 0 + 0. Let f = 50 + -53. Which is the nearest to -2\/7? (a) 3 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 2, e: 1, b: 3, x: 1, d: 3}. Give prob of picking 1 f, 1 d, and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = -4*z, -2*z - 1 = -6*y + y. Suppose -4*x = -6 - 14. Let o be (-1 + 1 + -2)*363\/(-726). Sort z, o, x in descending order.\nAnswer: x, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/30 in 0.4, -5, 0.3, -15, 27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7628 and 1352?\nAnswer: 2578264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 6 (c) 1 (d) -708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -20*a**2 + 17*a + 14. Suppose -5*q + 12 - 57 = 0. Let l be (2\/(-3))\/((-1)\/q). Let o(n) = 7*n**2 - 6*n - 5. Determine l*s(h) - 17*o(h).\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(2\/(-26)))\/(6\/(-6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 1\/120*g**6 - 1\/3*g**3 + 0*g**4 + 1\/15*g**5 + 4*g**2 + 0*g + 0. Determine b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 4*l**2 - 3*l - 8. Let u be p(5). Let j(s) = -41*s. Determine j(u).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + (7 - -4) + 95 + -50 + -30?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4)*(-8)\/(-4))\/(69\/276).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d**(-1))))\/d)**(37\/3)*d**6\/d**3 assuming d is positive.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/5972163 and -41\/669?\nAnswer: 5972163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 13 = 53. Calculate the greatest common factor of 44 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 763 + -414. Suppose p - 624 = 3*i, -3*p - i - i = -1828. Let s = p - c. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2661*a + 814*a = 111200 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4192 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**2 - 9. Let m(x) = 6*x**2 + 10. Let l(z) = 6*m(z) + 7*r(z). Let g be l(-4). Solve -5*f + g + 12 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/4, -12\/37, 0.5, 1 in increasing order.\nAnswer: -13\/4, -12\/37, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 20099*k + 181066. Give t(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 63708 divided by -21236\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 249 + -75. Let b(w) = -w - 5. Let r be b(-7). Suppose 4*u + r*i = 356, 3*u = 5*i + x + 106. What is the greatest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11982 + 11566. What is the third smallest value in 0.2, 0.5, -3\/7, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1. Let t(b) = -10*b**2 + 2. Let h(c) = 5*m(c) + t(c). Differentiate h(j) with respect to j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 10. Let f be (0 + 1)*1\/1. Suppose 0 = d - 5*i + f, 0 = d + 2*d - i + 3. What is the smallest value in d, -0.3, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 54. Let q = -36 + y. Calculate the remainder when 68 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 114 - 183. Calculate the remainder when 4648\/80 - 1\/10 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 5*n**2 + 2*n - 1. Let d be g(-3). Let z = d + -27. Let i = z - -32. Calculate the highest common factor of 96 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33\/16 + 101\/80. Let h = 1 + -4. Let x be 1\/(-5)*h\/(-1). Which is the third smallest value? (a) i (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*n - 5 - 7 = 0, 0 = 3*o + 4*n - 16. Suppose 5*p = p - w + 53, o = -p - 4*w + 32. Solve 5*h = -p - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/360 - z**5\/9 - 67*z**4\/8 - 171*z**3 - 2*z**2 + 29*z + 31. Factor h(g).\nAnswer: (g - 38)*(g + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -19. Let a be (-663)\/o*2\/((-4)\/(-6)). Solve p = -5*f - a - 1, 3*p = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(1*sqrt(2)) + 3*sqrt(26)\/sqrt(2) + sqrt(13))*5.\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23442204 and 5011?\nAnswer: 23437193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -3 - -20) + (-1 - 10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.5, 2, -0.3, -0.1, 2320\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 5 = -5*y, 5*x - 3*y = 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215 by -818.\nAnswer: 215\/818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -1\/3*s**3 + 1\/15*s**6 + 1\/15*s**5 + 0*s + 0 - 1\/6*s**4 + s**2 - 1\/105*s**7 - 1\/84*s**8. Determine j, given that u(j) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63*p - 3*p + 5*p)*(2*p + 0*p - 6*p) + 0*p**2 + p**2 - 3*p**2 - p**2 + 2*p**2 - 5*p**2 to the form o + q*p**2 + t*p and give q.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284394*w**2 + 568813*w**2 - 284395*w**2.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*j**2 + 4 - 4 + (11 - 8*j - 11 - 7*j - 6 + 5 + 3*j + (1 - 2 + 3)*(-2 - 2*j + 2) - 3 + 3 - 2*j)*(3*j + 2*j - 2*j).\nAnswer: -68*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5\/140*4)\/((-12)\/(-21))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12615, 12590, 12555, 12504, 12431, 12330?\n\"Answer: -c**3 + c**2 - 21*c + 12636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u + 18 = 0. Find the second derivative of -2*w**5 - 26*w**3 + w + 4*w**5 + u + 20*w**3 wrt w.\nAnswer: 40*w**3 - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -12. Suppose o = -3*w + 3*z, -2*z + 3 = -5*w + 1. Solve w = -y + 6*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8)*-3) + ((-1*sqrt(91))\/sqrt(7))**2 - 3*(5*(sqrt(13) + 0) + -3).\nAnswer: -46*sqrt(13)\/3 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -16. Suppose 5*h = g + 5. Suppose 2*m = -8, h*i - 2*m - 188 = -0*i. Calculate the remainder when i is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242597279 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 13. Let d = -6 - t. Let l(b) = 4*b**2. Let q be l(2). What is the highest common divisor of q and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 7*q - 2. Let w(p) = -p - 1. Let i(g) = -2*w(g) + x(g). Suppose -2*k - 8 = 0, 0*k - 5 = -3*d + 5*k. Let s be i(d). Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -216.533 * 3.\nAnswer: -649.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 10*v - 13. Let z be d(9). Let k = z - -26. Suppose -f - 67 = -k*o, 2*o + 2*f + 8 = 3*o. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/7 (b) -0.06 (c) 6\/7 (d) 59\/4 (e) 2\/5 (f) -5 (g) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914551\/6 less than or equal to 652424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 3:20 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135666*j + 135663*j + 4*l + 68 = 0, -5*l - 265 = -15*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (0\/(-9) - 3). Solve l = r*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19004*n**5 + 128136*n wrt n.\nAnswer: 380080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45994 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**4 - 239850*g**3 - 30039535*g**2 - 954185580*g - 924385900 = 0 for g.\nAnswer: -62, -1, 48095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*b = 161*b - 3*v + 567, 3*b - 849 = -5*v. Calculate the least common multiple of 142 and b.\nAnswer: 20448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593064 <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 63*i**2 - 122*i + 11. Give s(61).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 46, 86, 142, 214, 302?\n\"Answer: 8*v**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 5. Calculate the remainder when 8 is divided by i\/5 - 81\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -924516 - -924435.0002. Let d = 81 + f. What is d rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5)*y\/(y**19\/y))**3 assuming y is positive.\nAnswer: y**(-267\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*y**3 - 25*y**3 - 27*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3673825.\nAnswer: -3673825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/9 + (-2)\/6. Let w be ((-9)\/2 - -2)*2. Sort w, 5, q in descending order.\nAnswer: 5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 197216862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q - 7*q - 10*q + 16*q + 9*q - 18*q**2 + 123 to the form t*q**2 + h + u*q and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 27006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -0.427.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -20. Let y(t) = 8*t**2 - t. Determine y(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 b, and 1 l when three letters picked without replacement from bloon?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -505, 78, -5, 1, 2 in descending order.\nAnswer: 78, 2, 1, -5, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-2)\/2*-1. Let t(m) = m**2 + 4*m + 6. Let r be (-9)\/(-2)*(-6)\/9. Let q be t(r). Which is the third biggest value? (a) q (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1575)\/(-42)*(-198)\/297\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -189, -280, -371, -462?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(252) + 2 + sqrt(252) + -1 - (-5 + 0 + (sqrt(252) - (sqrt(252) + sqrt(252) + 2))))*-2)**2.\nAnswer: 1152*sqrt(7) + 9328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 90 = -5*a + 2, -4*y = 2*a - 104. Suppose p - 2 = y. What is the remainder when p is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/5, 14, -13 in ascending order.\nAnswer: -13, 0.2, 2\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 380*f. Let t(h) = 8*h**3 + 1519*h. What is -2*t(s) - 9*y(s)?\nAnswer: 2*s**3 + 382*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.07, -6, 0.6, 0.5, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024331 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1. Let v be 14\/10 - 960\/400. Let g(k) = k + 14. Determine v*g(m) + 2*a(m).\nAnswer: -m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 3*g + c, 5*g + 10 = -2*c. Let w(t) = t**3 - t + 1. Give w(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30135 divided by -3\nAnswer: 10045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -34.3. Let q = w + -1.8. Let z = q - -8.5. Put -1\/4, z, 3 in increasing order.\nAnswer: -1\/4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1509\/4 + 376. Put -2\/9, 139, v in ascending order.\nAnswer: v, -2\/9, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-8)\/(-12)*-3. What is the greatest common factor of 8 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 e, and 1 f when four letters picked without replacement from gfbfbzfzzeffzfeef.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 319*x**3 + x**2 - 12*x - 14. Give w(-1).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.9112.\nAnswer: 2.7336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1172 and 6?\nAnswer: 3516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akavkvaakkkkkvvv. What is prob of picking 1 a and 3 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 6) to base 2\nAnswer: -110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, and 2 t when four letters picked without replacement from {z: 2, d: 2, f: 2, t: 8}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -64 + 60 - (6 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 20, -2*r = r + z - 7. Let t = -4 - r. List the prime factors of 1\/t - (-112)\/35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(53*o + 19 - 9 - 8) as n*o + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*16.7894\nAnswer: 83.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3*y - 638*m**3 + 784*m**2 + 1044740*y**4 - 66 with respect to y.\nAnswer: -m**3 + 4178960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -38*i**2\/5 - 858*i + 452\/5 = 0.\nAnswer: -113, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 - -4133?\nAnswer: 4064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 344101 - 1?\nAnswer: 344100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 x, and 1 v when three letters picked without replacement from xvrrvf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -20*p - 9. Let x be q(-6). Suppose -4*i + 7*i = 3*g + x, g = 2*i - 72. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/139496 and 21\/5536.\nAnswer: 96531232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -12639280\nAnswer: 12639280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1090, 2014, 2778, 3382, 3826, 4110, 4234?\nAnswer: 4198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-10))\/(x*x**(2\/9)) assuming x is positive.\nAnswer: x**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -16*s**3 + 3. Let l(v) = v**3 + 25*v**2 - 4*v - 111. Let m be l(-25). Let p(g) = 47*g**3 - 8. What is m*y(k) - 4*p(k)?\nAnswer: -12*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 24*k + 64.\nAnswer: 2*(k + 4)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + 3*x**4 - 1 + 0 - x + x**4 in the form a*x**2 + c*x**4 + l + b*x + n*x**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -229*k + 2141 + 1065 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1009403818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (176\/28 + -2)*21. Suppose -18*b = -13*b - h. Let z(m) = m**2 - m + 34. What is the remainder when z(0) is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 110, 1, 0, -35, 2 in increasing order.\nAnswer: -35, -4, 0, 1, 2, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26052 or -3\/5?\nAnswer: 26052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 489.058 millennia in decades?\nAnswer: 48905.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 377940 divided by -10\nAnswer: -37794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(1\/4))\/y)\/y**(2\/21))**31 assuming y is positive.\nAnswer: y**(-899\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -18. Does 35 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 8:47 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k + 5. Let j be f(1). Let l(y) = 6*y**3 - 4*y**2 + 4*y - 5. Let a(p) = -p**3 + p**2 + 1. Give j*a(c) - l(c).\nAnswer: -c**3 - c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.056492 to one decimal place.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -440 - -442. What is the nearest to -3\/4 in -0.5, -5, u, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/325 - 23\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58920 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3123021101 (base 4) to base 2\nAnswer: 11011011001001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11256 and 2364698.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.333668 rounded to 1 dp?\nAnswer: 260.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186287)\/55319*11 + (-12)\/(-282)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 53*t**8\/168 + t**4\/2 - t**2 - 72. Find the second derivative of k(a) wrt a.\nAnswer: 2120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**6 + 104878444*c**4 + 20*c**2 - 106039*c + 17 wrt c.\nAnswer: -360*c**3 + 2517082656*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(132)*2 + sqrt(132)))\/(sqrt(768)*-1 - sqrt(768)).\nAnswer: 9*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/6*6\/(-3). Suppose 2*z + 4*l = 198, -z - j*z + 399 = 5*l. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -145\/22 - -56\/11. Let u = 29 - 59\/2. Which is the second smallest value? (a) u (b) 3\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*a - 400 = -374*a. What is the lowest common multiple of 300 and a?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from vnvvnvnvvvvnnvvv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 65 + 61 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1479*i**3*x**4 - 13*i**3*x - i**3 - 19*i**2*x**2 + i*x**4 - 6*i*x**2 wrt x?\nAnswer: -35496*i**3*x + 24*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/2 (b) -90 (c) 90 (d) 0.4 (e) 3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*q**2 + q + 13*q**2 - 4*q**4 + (4 - 2 - 4)*(4*q**4 + q**4 - 3*q**4) in the form x*q**2 + z*q + d*q**4 + h + o*q**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(102)*-2)\/(sqrt(6) + (sqrt(72)*-3)\/sqrt(12) + sqrt(6)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*o + 2*y = 105*o - 57*o - 24, 2*o - y - 15 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/5)\/((-2)\/30). What is the third derivative of -7*r**4 - d + 4*r**2 + 126 wrt r?\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j + 3. Let p(o) = 7*o - 4. Let i(b) = 4*m(b) + 3*p(b). Let k(g) = -6*g + 15*g - 10*g + 2*g - 2*g. Determine k(i(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265132?\nAnswer: 2, 11, 28753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1523, 1\/13, -2\/3, 2\/19 in increasing order.\nAnswer: -1523, -2\/3, 1\/13, 2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24477 - -24476.99931105. Round g to six decimal places.\nAnswer: -0.000689","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x*x\/(x\/(x\/x**(1\/10))))*x*x**(-6)*x**(5\/7)\/((x*x**(6\/25)*x)\/x))**(-2\/109) assuming x is positive.\nAnswer: x**(2249\/19075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 106 - 308 - 685 - 928 = 0 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 716, 2851, 6386, 11309, 17608, 25271?\n\"Answer: -2*x**3 + 712*x**2 + 13*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 7\/13, -13, -3, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 160*g**2 - 152*g + 381. Calculate z(-79).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4683 times -0.1?\nAnswer: 468.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12363 = -2*n, -12*a - 3*n - 12343 = -13*a. Calculate the remainder when a is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 589993?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 - 10*b**4 - 2228*b**3 + 32644*b**2 + 2226*b - 32634 = 0. Calculate b.\nAnswer: -37, -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033000 (base 4) to base 11.\nAnswer: 3887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 45?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -565*v - 57 + 21 + 14 + 18 + 14 in the form u*v + m and give u.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1340485056, -1340485054, -1340485052, -1340485050, -1340485048, -1340485046?\nAnswer: -1340485044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -17*i**3 + 2*i**2 + 2*i + 8. What is a(-2)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 221752*c\/7 + 6146743688\/7.\nAnswer: 2*(c + 55438)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*m*v**2 + 95*m*v + 1799*m - 71502*v**2 - 2*v + 2 wrt m?\nAnswer: -13*v**2 + 95*v + 1799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1380171, 2760334, 4140497, 5520660?\n\"Answer: 1380163*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = x - 6, -3*y + 41 = -3*x + 50 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.72503573 to four decimal places.\nAnswer: 0.725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 260 and 8924?\nAnswer: 8664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + sqrt(153) + (-1 + sqrt(153) + 2 - sqrt(153) - sqrt(153)))**2 - (-2*sqrt(153)*2 + -1)**2).\nAnswer: -2448 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 54*d**2. Let c(w) = -10*w - 9. Let p(y) = -y - 3. Let x(n) = -c(n) + 3*p(n). Calculate x(g(f)).\nAnswer: 378*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = -138*y + 753. Let q = 479 + -281. What is the least common multiple of q and y?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427 + 3479*x**3 + 427 + 8486*x**3.\nAnswer: 11965*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*u**3 - 47*k*u**2 - u**5 + 20*u**4 + 2 wrt u.\nAnswer: -6*k - 60*u**2 + 480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18660159157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*r**2 + r**2 - 20*r**2 - 14*r**2.\nAnswer: -35*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4787365 by 9.\nAnswer: -4787365\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 554280991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011000111100 - -10011010001001?\nAnswer: 101110011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5 + 35. Let y(d) = -3*d + 6. Let a be y(t). Suppose -50 = -c + a. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r. Let c = 339 + -341. Let m(j) = -12*j + 1. Calculate c*m(d) + 5*a(d).\nAnswer: -6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5\/3)\/(i**12\/i*i*i))**(-9\/7))**5 assuming i is positive.\nAnswer: i**(660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 21?\nAnswer: 37\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 48*l**3 + 2*l**2 + 4*l + 121. Is p(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4539, 36183, 122055, 289269, 564939, 976179, 1550103?\nAnswer: 2313825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 2\/2)*-2. Let l(w) = 3*w**2 + 5. Let k(a) = 3*a**2 + 4. Let q(n) = p*l(n) + 5*k(n). Let u(b) = 6*b**2. Determine q(u(d)).\nAnswer: 108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 52*u + 8. Let j be k(6). Suppose 3*x = -x + j. Suppose -3*d = d - x. Calculate the smallest common multiple of 4 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78 - -80) + -11 + -277.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 3*v = 15, -5*v - 36 = -2*d - 28 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**9\/168 - c**5\/15 - 2*c**2 + 2. Let g(n) be the second derivative of j(n). Find the third derivative of g(v) wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 1, e: 1, f: 1, s: 1}. What is prob of picking 1 s and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = -18. Let f = -9 + p. Suppose -5*w + 5 = -0, f = -m - 2*w + 5. Sort 4, m, -3 in decreasing order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85.02 - 491147.\nAnswer: -491232.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqw when three letters picked without replacement from {w: 7, q: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 237680 and 213912?\nAnswer: 2139120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-10 - -10) + 1)\/((-3)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 6*k**2 + 4*k + 3. Let n be u(5). Let a be -13*(1 + -2) - n. Suppose 8 = 4*r + h, -r - 5*h + 4 = r. Solve a = -3*q - r*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 25*t**3\/2 - 85*t**2\/2 - 2*t + 9. What is the derivative of l(k) wrt k?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16319256 rounded to the nearest ten thousand?\nAnswer: -16320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 321.7147 decades?\nAnswer: 32.17147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 77 + 296 = 2*l, -1094 = -3*s - l. Calculate the lowest common multiple of s and 825.\nAnswer: 9075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.21615179 to one decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:57 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3782615 minutes to microseconds.\nAnswer: 22695690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68289.1 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 1101?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3646683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 423576 and 48618?\nAnswer: 30921048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15121862, -30243725, -45365588, -60487451, -75609314, -90731177?\nAnswer: -105853040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 + 2 - 5 + 4 + (-2 + 0 + 3)*(-2 + 3 - 3))*(23*l**2 + 6*l + 1 - 11*l**2 - 10*l**2).\nAnswer: 2*l**2 + 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4906.169 litres?\nAnswer: 4906169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - 2) + (27 - 24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/13)\/v**(-6\/5)*v*v\/(v*v*v**5)*v\/(v\/(v\/(v*v**12*v)))*v*v)**(-3) assuming v is positive.\nAnswer: v**(2976\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 3*v + 2. Let l(z) = -13*z**2 - 11*z - 9. Let s(f) = -2*l(f) - 9*p(f). Find the second derivative of s(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 44. Calculate the common denominator of -17\/9 and 0 + (136\/s)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/2)\/3)\/((-1635)\/180 - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -149, -139, -125, -107, -85?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(720))*6 + (sqrt(720) + (-1 + sqrt(720) - sqrt(720) - sqrt(720))*-3 + (sqrt(720) + 0)*-4)**2.\nAnswer: 10 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**4\/8 - 43*c**3\/8 - 1481*c**2\/4 - 596*c + 240 = 0.\nAnswer: -24, -2, 1\/3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 12*c + 8. What is d(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3299 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26)\/52)\/(-1 + (-104613)\/(-104614)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-36)\/(-16))\/((-3255)\/120 + 27)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s + 3. Suppose -5*x - 4*a - 32 = -36, -24 = -x + 5*a. Let j(c) = c - 1. Give x*j(w) + v(w).\nAnswer: 10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267*c + 2661*c**4 - 566*c - 86*c**2 - 2664*c**4 wrt c.\nAnswer: -36*c**2 - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 266, 18, -2 in increasing order.\nAnswer: -2, 18, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193541 is divided by 8414?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1586635, -0.2, 2\/15, 0 in descending order.\nAnswer: 2\/15, 0, -0.2, -1, -1586635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4f6eb5 (base 16) to base 12\nAnswer: -18b0671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/2, -3876 in descending order.\nAnswer: 1\/2, -1\/2, -3876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/60 + h**4\/24 + h**3\/6 + h**2. Let x(j) be the first derivative of v(j). Let w = -1664 - -1661. Calculate x(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 6. Let w be i(-8). Suppose -w*a + 15 = a. Suppose y = a*y - 16. Calculate the least common multiple of 1 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.88, -2, -11.\nAnswer: -11, -2, 5.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-9)*(6 - 3). Let z be 138*(g\/(-18))\/((-4)\/(-24)). Suppose -z = -2*j + 124. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 5*k - 1 - 31, 18 = 2*y + 3*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11*g - 18 = -12*g, -3*c = -g + 27. Which is smaller: c or -5.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y + 46*y - 188 = 0. Let c(u) = u**2 - 2*u + 5. Give c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i - 1. Solve 0 = k - i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 12*f**2 - 2*f - 9. Let w be k(-12). Let u = 18 - w. What is the third derivative of i**2 - u*i**2 + i**2 + 3*i**4 - 3*i**2 wrt i?\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:26 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - 42?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40999567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-356)\/32 + 11)*-24. Let m(k) = -k**2 - 8*k. Let j be m(-6). Solve i + j = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11*(0 + 6\/6). Suppose 51 = 5*h + j. Solve 0 = 4*o - 6*o - h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 8162923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*n - 8, 0 = -4*q - 5*n + 215. Suppose 0 = b + 4*b - q. Let d(h) = h**3 - h**2 - 1. What is the remainder when b is divided by d(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75.4 - -89.48. Let k = i + -14. Which is the biggest value? (a) -0.3 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 220\/17249 or -1?\nAnswer: 220\/17249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + 7. Let l = -19 + j. Which is smaller: l or -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = -7*h + 2*q - 26, 2*h + q - 16 = -0*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 21*x = 43, 41002*f - 40997*f + 58 = 3*x for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 26*o + 107. Let x be y(5). Solve -v + x*j = 7*j, 5*v + 4*j = -21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -13*g - 5. Let y(v) = -60*v - 24. Let w(h) = -14*t(h) + 3*y(h). Calculate w(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 3*i + 0 + 5*i - 21.\nAnswer: i - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46*(0 - 2) - -2. Let h be (-12)\/s + 56\/30. Let t(o) = 0*o - h*o - 3 + 3*o. Calculate t(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 59\/1624?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28210958 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418\/(-468) - (1 - 6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9264 or 9263?\nAnswer: 9263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 841*p**2 + 649252*p + 1. What is g(-772)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19830 and 2157504?\nAnswer: 10787520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 + 13*g + 34. Let y be w(-4). Suppose 66*n = y*n + 16. Solve 0 = c + n*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 61*f + 6. Let w(c) = -122*c - 13. Give 7*n(z) + 4*w(z).\nAnswer: -61*z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 - 2*w**3 + 5*w**3 + 3 + w**3 - 3 + (10*w - 18*w - 18*w)*(3 - 3 + w**2) + (-3*w**3 + 3*w**3 - w**3)*(39 + 27 - 14).\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0, 5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-62)\/36 + (-18)\/(-81) + -173. Let m = -174 - i. Which is smaller: m or 153?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44792 by -22.\nAnswer: -2036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/294*-2)\/(79\/237).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1124, -3432, -8140, -16448, -29556, -48664, -74972, -109680?\n\"Answer: -200*b**3 - 908*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - 5740\/(-273) - -18.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 + -172. What is the remainder when 83 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 179*c**6\/40 + 2*c**5\/15 - 3*c**4\/8 + 2*c**2 + 310. Find the third derivative of o(t) wrt t.\nAnswer: 3222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -62212431?\nAnswer: -62212436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 6. Let g be z(-7). Suppose -3*r - 7 = -g. Let x be -2 - -77 - (r + 0). Calculate the highest common divisor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87*-11.58\nAnswer: 1007.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*z. Suppose z = 15*h - 422332 + 157477. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 33*b - 8 = -37*b, 4*v = 3*b - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2216 and 51081016.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/6*-4*-3. Suppose 3*z = a*j + 1891, 2*z + 3*j = 2*j + 1263. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 40311365?\nAnswer: 40311361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 177165 - 105399 = -31059. Is 69 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23541 and 3779062.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 2, n: 8, t: 1, p: 4}. What is prob of picking 1 n, 1 t, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2448)*3)**2 + 3*sqrt(2448) + 0 - ((sqrt(136) - 2*(2*sqrt(136) + sqrt(136))) + sqrt(136))\/(sqrt(512) - -2*sqrt(512))*-1.\nAnswer: 215*sqrt(17)\/6 + 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (62597\/(-2) - 0)\/(7\/(-14)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, 976, 2\/1545, 0 in descending order.\nAnswer: 976, 3, 0.5, 2\/1545, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -31, -36, -39, -40?\n\"Answer: w**2 - 10*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 5. Let z be f(8). Factor 109*l**2 - 196 + z*l - 113*l**2 - 13*l.\nAnswer: -4*(l - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2781*r + 2780. Determine h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*u - 20, 3*a - 3*u = -0*u + 15. Let k(j) = j**3 + j**2 + 6*j - 12. Let p be k(a). Suppose x = -2*x + p. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**3 - 3*w**2 + 3*w + 5. Let b(l) = -7*l**3 + 5*l**2 - 5*l - 11. Let a be (-39)\/6 + (130\/20 - 5). What is a*j(f) - 3*b(f)?\nAnswer: f**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 11:12 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 11*y**2 - 11*y + 4. Calculate b(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 2, -5, -2, 7, -1, 4 in ascending order.\nAnswer: -46, -5, -2, -1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/6*((-10368)\/8064 + (-60)\/(-112))?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/53406 and 113\/386538.\nAnswer: 149590206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 71. Suppose 24*j - 26*j + 66 = f. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.00481013 + 6.21\nAnswer: 13.21481013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1518547 or 1518597?\nAnswer: 1518597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227478017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 553 - 553.1. Which is the third biggest value? (a) 14 (b) z (c) 1\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.845 * -37278\nAnswer: 106055.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1325 + 1326. Which is the third biggest value? (a) -4 (b) 21\/59 (c) 1\/2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 983*d + 3 + 1 - 982*d to z + u*d**2 + y*d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318465702?\nAnswer: 2, 3, 47, 179, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*d**3\/6 - 101*d**2\/6 + 22*d\/3 + 6.\nAnswer: (d - 2)*(5*d + 2)*(7*d - 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188*r + 96 - 48 - 48 to the form b + t*r and give t.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-9) + 43714\/198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + i = -2*h - 10, 5*i = 2*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 + 1115*u**4 - 2250*u**3 = 0. Calculate u.\nAnswer: -225, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2241.000017595 + 2241. What is z rounded to seven dps?\nAnswer: -0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2358028 + -2340179.47. Let f = 17958 - j. Let t = 109 - f. Round t to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -1 + sqrt(1300) + -1 + 3 + (1*sqrt(1300) - sqrt(1300))**2 + sqrt(1300) + (-1*sqrt(1300) + 1)*4)*-6.\nAnswer: -30 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.8 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 85, -114, 0, -4, -36 in ascending order.\nAnswer: -114, -36, -4, 0, 1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 762 + 0\/1 + -3. Suppose x = -2773 + z. Is (x\/(-2) - 2) + -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11616*b**3 + 200*b**2 - 91038*b - 841?\nAnswer: 69696*b + 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8503639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 106449, 110353, 114257, 118161, 122065, 125969?\n\"Answer: 3904*q + 102545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 34*m**2 - 3*m + 97. What is j(34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmcmmmqqm. What is prob of picking 1 q, 1 c, and 1 m?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75.33 + -75. Let m = -35.67 - c. Let j = m - -36.05. What is j rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 2460668.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317 - 774 = -120*v + 503 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -190, -237, -294, -361, -438?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1084 and 27476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5 = 3*s + 5*q, 4 = 4*q. Solve s*l - 4 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 11*q - 19. Calculate k(-15).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eferebbrneab. Give prob of sequence naaf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.4 - 25.6. Let x = v + 31.4. What is the third biggest value in x, 1, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-5 - sqrt(176)) + -5.\nAnswer: -24*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g*g\/(g*g\/(g\/g**(-1))))\/g))*g*g**6\/g)**(-8) assuming g is positive.\nAnswer: g**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 233 + 11?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -a + 42. Let i(u) = 3*u**2 + 14*u + 13. Calculate the remainder when 105 is divided by i(a).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**5 + 888*r**4 + 2544*r**3 - 27438*r**2 - 55107*r + 79110 = 0.\nAnswer: -293, -6, -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392717707?\nAnswer: 19, 3529, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (144 + -82 - 23)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*(1 + 0 + 1)*(0 - 4*f + 0)*(1 - 2 - 2)*(f - 46 - 37 + 60).\nAnswer: 48*f**2 - 1104*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4563 and 845?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1511, 6041, 13593, 24167?\n\"Answer: 1511*u**2 - 3*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**2 + 6279*j - 56268 = 0.\nAnswer: 9, 2084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b + 69. Let k(z) = 23*z - 208. Calculate -17*j(n) - 6*k(n).\nAnswer: -2*n + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -10. Suppose -4*y = -4, 14 = 3*b - 7*y + h*y. Suppose b*l - 6617 = 14883. What is l rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + 332552?\nAnswer: 332548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (5634*-2)\/9*-2. What is the highest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 3*p**2 + 3*p**3 - 2*p**4 - 5*p**3 + 0*p**3 + 7 in the form c*p**2 + l*p + g + w*p**4 + h*p**3 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-2) + -3)\/(-2). Which is smaller: d or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**7\/273 + r**6\/195 + r**5\/130 - r**4\/78 - 2*r. Factor p(x).\nAnswer: -2*x**2*(x - 1)**2*(x + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -10242862\/9 = -1138097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 16*m**2 + 16*m - 17. Calculate u(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0430653 to 3 dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5750*r + 1837. Is l(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 p, and 1 s when four letters picked without replacement from wspseqmpmwws?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -806 (base 11) to base 13.\nAnswer: -59c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 509 + -1020. Let w = 754 + b. Let y = 242.999883 - w. What is y rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12917\/11284 - 3\/1612. Suppose -w + 18\/7*h + 5\/7*h**2 = 0. Calculate h.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - -306. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djdajqo. What is prob of picking 1 a, 1 o, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201 + -155. What is the derivative of 22*w - 5*w**4 + 17*w - d - 49*w + 15*w wrt w?\nAnswer: -20*w**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156 - -261. Let q = -994 - -1029. Calculate the greatest common divisor of l and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = 0, -6 = -3*l - o + 20. Let v(j) = -j + 14. Let h be v(l). Which is the nearest to -1? (a) h (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000030082 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -29*o**2 - 15*o - 2. Let n(f) = -10*f**2 - 21*f + 13. Let z(v) = 2*v**2 + 7*v - 5. Let i(p) = -3*n(p) - 8*z(p). What is 6*b(y) + 13*i(y)?\nAnswer: 8*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -3*h**5\/10 + 165*h**4\/8 - 104*h**3 + 153*h**2 - 39. Determine z, given that u(z) = 0.\nAnswer: 0, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/2)*x*x)**(-2\/101)\/(x**(2\/5))**(20\/11))\/(((x*x**3)\/x**8)\/(x**(-4)*x**(-8))) assuming x is positive.\nAnswer: x**(-9751\/1111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 9. Let r be (l\/5)\/(4\/(-490)). Suppose -r = -3*m - 52. What is the highest common factor of 32 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19496, -19327, -19158?\n\"Answer: 169*z - 19665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*y + 12, -2*s = 2*s - 16. Let h(k) = -k**2 - k + 12. Let c be h(y). Suppose -4*l + c = -8*l. Let g(p) = -p**2 - 3*p - 4. Give g(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510*c + 1540 = -503*c. Calculate the remainder when c is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53652348?\nAnswer: 2, 3, 257, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 2\/15, -8.3, 5, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 103. Calculate the greatest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 282\/(-442) - (-10386)\/22503.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p + 6. Let u be j(3). Let v(s) = -s**2 - 14*s + 24. Let y be v(u). List the prime factors of (-336)\/18*y\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-80600)\/(-156))\/155)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241025 is divided by 336?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -159834 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + (sqrt(405)*1 + 1 - sqrt(405)) + -3*-1*sqrt(405)*3))**2.\nAnswer: 3240*sqrt(5) + 131320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*a + 7 = -0, 0 = -3*l + 4*a + 5. Suppose -5*y = -25, l*o = 2*o + 2*y + 26. Calculate the highest common divisor of 252 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 833420 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (-71 + 44) - (-20 + -2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -224*z + 3601. Let t be q(16). Solve 3*l = w + 5, 2*w - t = 3*l - 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -403623 + -22?\nAnswer: -403645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9856676 tonnes?\nAnswer: 985667.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 319315292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17999 + -17939. Solve -33*b = -53*b + p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 13*u**2 + 13*u + 14. Let m be n(-12). Suppose -2*y + 10 = 3*f, 5*f - 2 = 2*y + m*f. Solve -3*b = 3*s - 18, -2*b + y*s + 8 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 13467*q - 38433. What is l(3)?\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 2*m**4 + m**5 + 3*m**4)*(-4 - 2 + 2 + (2 + 0 - 3)*(1 + 1 - 1)).\nAnswer: -5*m**5 - 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50975.423 rounded to the nearest 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 4*h + 1. Suppose -p = -4*p - 15. Give b(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - -2 - 4 - (-1 + (8 + 6 - 5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b + 1 = 0. Let h be -3*((-15)\/9 - b). Suppose a = h*w - 67, 4*w + 0*a - 137 = 3*a. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-8))\/(81\/(-18)). Let p(v) be the first derivative of 4\/3*v**3 + 0*v + j*v**6 + 3 + 3\/2*v**4 + 4\/5*v**5 + 1\/2*v**2. Find y, given that p(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - 2.6. Let l be -1 + 61\/105 - (-68)\/238. Sort 1\/2, l, a in decreasing order.\nAnswer: 1\/2, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460167155?\nAnswer: 5, 7, 263, 49991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*q - 5*q + 2*c, c + 2 = 0. Let w be q\/(-4) + 10\/(-8). Solve w = v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98784 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -2*u, -2*u + 16 = 2*k - 6. Sort 0, 1\/82, u.\nAnswer: 0, 1\/82, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 809 and 1421771387.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31754, -31756, -31758, -31760?\nAnswer: -31762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 74 = -801 + 47. What is the smallest value in 4, -5, o, -1, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2139, 1, -4, 204, 3, 11 in decreasing order.\nAnswer: 204, 11, 3, 1, -4, -2139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77573518.\nAnswer: 2, 11, 563, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 176 = 84. Suppose b = 2*o - r, -9*o + r + 164 = -4*o. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, 4, 3, 2437.\nAnswer: 3, 4, 189, 2437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10595\/2016 - 157\/32. What is the common denominator of 107\/252 and a?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1554712, 1554704, 1554692, 1554676, 1554656, 1554632?\n\"Answer: -2*y**2 - 2*y + 1554716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2647662, -2647736, -2647810, -2647884, -2647958?\nAnswer: -2648032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**2 - 4*l - 68. Let q be a(10). Let t = q - 288. Solve -t*m + 18 = -4*x + m, 0 = 4*x + 4*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 - -104. Suppose -4*c + p*c - 80 = 0. Solve b - c = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = -50*m - 74*m - 725 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 != 1519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 2:27 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/1777813 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 72667*o + 218010.\nAnswer: -(o - 72670)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/43, -0.1, -5, 32\/5, -96\/11?\nAnswer: -96\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2268 and 10332?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -542\/3 + 181. Let c be 3\/6*(-4)\/(-3). Let 1\/3*q**4 + c*q**3 + 0 - 2\/3*q - u*q**2 = 0. What is q?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 6\/5, 1\/5 in descending order.\nAnswer: 3, 2, 6\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + sqrt(468) + (sqrt(468) + 0)*1 + sqrt(468) + sqrt(468) + 1)**2*-5 + -1*sqrt(468)*-5 + (-4*(sqrt(468) + 1) + sqrt(468) - sqrt(468)).\nAnswer: -58509 - 294*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100300 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from gggggggggggbgggggg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/46*2*-97. Let n = o - -102. List the prime factors of n.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 560 = -2*n. Let r = -508 + n. Let p = 308 + r. What is p rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -164\nAnswer: -18.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1118 - 1166.199. Let h = -53.19812 - j. Let m = 5 + h. What is m rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*64\/(-10))\/((-31)\/155). Suppose n*l - 18428 = 31652. List the prime factors of l.\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/(-40) + (-77)\/14\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 9:46 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/18*-2*-3. Suppose -56 = -u*c + 3*c. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -909 + 1410. Let n = h + -237. Let y be n\/(-18)*3\/2. Which is smaller: y or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/3666 and 38\/60489.\nAnswer: 120978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + k + 0)*(-2*k + 0*k + 7*k + (-2 + 4 + 1)*(-k - k + 3*k) + k - 4*k + 4*k + 2*k - 2*k + 4*k) + k + 2*k**2 - k in the form s*k**2 + y*k + o and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -147, 0.2, 1 in decreasing order.\nAnswer: 9, 1, 0.2, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**3 - 24*v**2 - 59*v + 8. Determine m(-3).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 + s. Suppose y - 2*z + 9 = 0, 0 = y - z - 0*z + 5. Let p be v(y). Solve -p*g + 4 - 12 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 15 + 259 + -245\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 144 = -3*r, -271 = 5*n - 4*r - 1029. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1757 and 46\/77.\nAnswer: 19327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 3\/(-6))*6. What is the units digit of (-18)\/4*(-8)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*v = 28, 4*n + 0*n + v + 13 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28b - 34a763?\nAnswer: -34a4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 219591821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9733 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29612 divided by 32.\nAnswer: -7403\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*x + 240*x - 44 = 4*r, 3 = -2*x + r + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 - -427861?\nAnswer: 427861.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68361290147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -15520\/29457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560 and 13192060.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -4*v - 2*d, 5*v = -11*d + 16*d + 275. Calculate the remainder when v is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/12 + 3*o**3 - 29*o**2\/2 + 60*o. Give v(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -37. Calculate the least common multiple of o and 477\/36 - 3\/(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -293.93 - -8.93. Let n = w + 285.00001602. What is n rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*i - 0*i + 5*z, 2*z + 17 = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114971 = -2243*q - 62075 + 104114 for q.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-f + 0*f - f)*(-2 - 3 + 4) - 2*f - 2*f + 6*f)*(-129 + 233 - 138) to the form z*f + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 8*x - 80. What is the smallest common multiple of s(8) and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-6) + 1\/2. Find the second derivative of 0*n + 7*n + n**w - 2*n wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -372 - -368. Let h = -2 + 2.5. What is the nearest to -0.3 in h, f, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**7\/168 + q**6\/360 - 5*q**3\/3 + 4. Let d(a) be the third derivative of y(a). What is the third derivative of d(c) wrt c?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000187719 rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884*a - 1862924 = -1831100 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61343206 (base 7) to base 8.\nAnswer: -23420101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -44*u - 33. Let d be c(4). Let g = d - -297. What is the remainder when g is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 + 326. Find the common denominator of 6\/(-21) + y\/(-14) and 43\/9 + 1 - -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77126?\nAnswer: 2, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 12 = -3*d, 5*o + 4*d + 10 = 26. Sort 1, 3, o, 4 in decreasing order.\nAnswer: 4, 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + m = 41, 5 = 32*m - 31*m. Let d(k) = k**3 + 7*k**2 + 2*k - 2. What is the remainder when d(-6) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(171) + sqrt(171))*3)\/(sqrt(9) - sqrt(144)*4).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.65 - 4.35. Put s, 2, 0 in descending order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + q = -189, 4*q + 57 = 4*p - 187. Let s = 139 - p. Suppose 3*t + s = 5*n, -4*n + 71 - 14 = -3*t. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 13*v + 10. Let z be w(9). Let r = z + -42. What is the highest common factor of r and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -8331362\/5 + 8164\/5*d - 2\/5*d**2 = 0.\nAnswer: 2041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002715 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 143.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1559*c**3 - 12*c**2 - 23*c + 19. Is f(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9702094.\nAnswer: 2, 743, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1433 - 1433.2206. Round m to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 75*m**2 - 36*m + 14. Let w be o(15). Let y = w - 7708. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 4*y - y)*(-226*y - 1040 + 1040 - 1178*y).\nAnswer: 1404*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 3:19 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Let u(m) = -1690*m + 229883. Calculate the remainder when u(136) is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - t + 16. Let l(g) = 6*g**2 + 3 - g + 7*g**3 - t*g**3 + 0. What is l(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.5. Let b = 166.7 + -159. Let h = b - 4.7. Sort h, o, -4\/9.\nAnswer: o, -4\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 3*h - 2*h - 10, 0 = -4*c - 2*h - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1662 and 168890?\nAnswer: 140347590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*t = 12, -24 = -2*g - t + 4*t. What is the greatest common factor of g and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 5, k: 3, b: 1, t: 1, e: 1}. What is prob of picking 1 t, 1 e, and 1 k?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3345 - -3363) + -1 + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*a + 222, 123*a + 174 = 125*a - 5*m. Calculate the remainder when 1152 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g + 76. Let j be o(8). What is the third biggest value in 16, -0.3, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 537619 and 706.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w. Let v = -43 - -45. Let k(b) = -16*b**2 + 50*b**2 - 12*b**2 - 14*b**v. Give z(k(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2122507469 rounded to 2 decimal places?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204*g**3 - 269*g**2?\nAnswer: -1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 5, -39, -121, -253, -447, -715?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) 6 (c) 2\/1233 (d) 0.05 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/((-2)\/21878))\/(-2 + 1). Let q = -7256 - y. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(117) - 2*sqrt(117)*-4)\/((sqrt(144) + sqrt(144) + (sqrt(144) - sqrt(144)*1))*2).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 6. Let x = y - 2. Suppose 0 = -16293*r + 16204*r. Solve r = u - 5*u + x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.97 + -12. Let i = 0.17 - x. Let n = 1.1 + i. What is the third smallest value in 2\/13, -0.09, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -33 - 28 + 100 - 39 + 2*r. Let l(f) = -f - 1. Let k(z) = -20*z - 7. Let u(b) = k(b) - 6*l(b). Give s(u(m)).\nAnswer: -28*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097731278.\nAnswer: 2, 1048865639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 98*b**2 - 17*b + 18. Let w be i(1). What is the highest common factor of 451 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 987470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.05 + 5. Which is the second biggest value? (a) 1\/3 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 327*z**4 + 6*z**3 - 10*z**2 - 129047*z wrt z?\nAnswer: 3924*z**2 + 36*z - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 at least 7942\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 76, 6\/5, -9?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*z + 14. Suppose -5*o + 5*l + 40 = -o, 0 = -2*l - 8. Suppose -r + w - 2 + 3 = 0, r + 3*w = o. Solve z = -r*n + h, -3*n - 3*h = -2*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1425)*2)\/(sqrt(3) + sqrt(3) + (-3*sqrt(18))\/sqrt(6)).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 - -1) - (5 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 5*x - 6. Determine h(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + y. Suppose 2*s - 7*s + 5*m - 20 = 0, 5*s - 1 = -2*m. Let l be j(s). Let b be ((-2)\/10)\/((-45)\/18). Which is bigger: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 1\/6*t**4 + 0*t + 0*t**3 + 0 - t**2. Let w(c) = -37*c - 38*c - 42*c + 118*c. Give r(w(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -73, -68, -77, -106, -161, -248?\n\"Answer: -b**3 - b**2 + 15*b - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-100)\/96 - 69\/(-184)) + 11\/3. Solve -r = y*q - 1, 13*r - 12*r + 1 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 156*q - 30102 + 87342 = 1428*q for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kla when three letters picked without replacement from alk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -3. Suppose -5*l = -g*l. Let p be (-2)\/8 + (-294)\/(-24). Solve p = -l*d + 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 270\/1181?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5 - 2\/5*o**3 - 3\/5*o**4 + 3\/5*o + 2\/5*o**2 - 1\/5*o**5.\nAnswer: -(o - 1)*(o + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -547167322*a**3*q**3 - a**3 - 74*a*q**3 + 960154*a wrt a?\nAnswer: -3283003932*a*q**3 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*m**3 + 19*m - 17*m**2 + 2 + 7*m + 17*m**2 wrt m?\nAnswer: -582*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 195*q + 0 + 3 - 60*q.\nAnswer: 135*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 33. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*l, l + 3*l - 22 = -3*n. Solve m - 2*c = 8, -c + 2 = 2*m - l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4365421l?\nAnswer: 436.5421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**5 + 34499829*t**4 - 22500565*t wrt t?\nAnswer: -60*t**3 + 413997948*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*l - 29, -3*n + 77 = -5*l + 21. Suppose -2*w - 2*g = -n + 5, -18 = -3*w - 2*g. Solve w*z + 9 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akiaapapkaahhkakt. What is prob of sequence pki?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107408 and 120423?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o. Let y(d) = -17*d. Calculate 14*f(h) + 6*y(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-70))\/((-73)\/(-87381)*-76)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7336*q**3 - 1777*q**3 - 5510*q**3.\nAnswer: 49*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s - 16 = -4*q - 21*s, 5*s - 19 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 32*h**2 + 53*h + 76. Calculate f(26).\nAnswer: -2602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96812*m**5 + 83242*m.\nAnswer: 1936240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*o + 3 = -5, 0 = -2*o + 2. Let c = m - -2. Let w(f) = -f**3 - 7*f**2 - 6*f + 6. Let l be w(-6). Put l, -4, c in decreasing order.\nAnswer: l, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 859 = 271. Let w = j + 181. What is the least common multiple of 7 and w?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-3)\/(-180)*5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/27 and -43\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + -4 - 54)*-1.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891738307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Let n = -13.8 - -14. What is the closest to f in -1\/3, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652452, -1304317, -1956182, -2608047, -3259912?\nAnswer: -3911777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a**3\/5 + 1252608*a**2 - 12526056*a\/5 = 0. What is a?\nAnswer: 0, 2, 1043838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(266) + (sqrt(266) - sqrt(266)*-1))\/sqrt(7) + (sqrt(418) + (sqrt(418) - -2*sqrt(418)))\/sqrt(11))\/(sqrt(10)\/(-1*sqrt(405))))**2.\nAnswer: 75414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -589.4 + 525. Let t = 64 + j. Let d(l) = l**2 - 6*l - 1. Let f be d(6). What is the third smallest value in f, t, -4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2400))\/sqrt(8).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*d**3*f*m + 2*d**3*f + 2*d**2*f*m - 25*d**2 + d*f*m - 2*f*m wrt d.\nAnswer: -258*f*m + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 0.5, -2\/5, -2, -9 in decreasing order.\nAnswer: 0.5, -2\/5, -2, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -30. Let p be -1 + w + -3 + (-2)\/(-2). Solve -3*q - 10 + 1 = p, 0 = a + 2*q + 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.5, 2, 2\/17, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22418 and 2038?\nAnswer: 22418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 1. Let w(p) = -3*p**3 - 3*p**2 - 5*p + 6. Let d(b) = -w(b) + 2*y(b). Let f be d(5). Let k = f - 278. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4 - 34. Let r = k - 2. What is the least common multiple of -15*(1 - (3 + 0)) and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**2 + k**2 + 0*k**2 + (-k - 2*k - 2*k)*(-k + 9*k + 7*k))*(k + 4*k - 3*k) as o + f*k**2 + m*k**3 + p*k and give m.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3*t**2 + b**3*t + 53236*b**2*t**2 + 956*b**2*t + 48*b**2 + 52*b*t**2 - 11*b*t + b wrt t?\nAnswer: -6*b**3 + 106472*b**2 + 104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35816 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a century in months?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**2 + s + 3. Let o(y) = -y**2 - y. What is 5*o(w) - z(w)?\nAnswer: w**2 - 6*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138247 is divided by 19746.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 242066779 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -49*t**3 - 7*t**2 + 6*t + 5. Is 49 a factor of m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -29, 22, -75\/41?\nAnswer: -75\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 90.39777 milligrams?\nAnswer: 90397.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from abaabaaaa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*q + 4*j, 5*j - 30 = -3*q + 3. Let m be -3 - 1 - (-6)\/2. What is the lowest common multiple of q and m*(-3)\/(-1)*90\/(-27)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/5)\/(c\/(c**(2\/19)\/c)))\/(((c\/(c\/c**(-1))*c)\/c)\/(c*c**(-1\/6))))\/((c\/(c*c**(-2\/5))*c)**(-12)*(c*c**1\/c)**(-22)) assuming c is positive.\nAnswer: c**(22423\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1895*u - 3*q = -1894*u + 33, 4*u = 5*q - 200 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24324 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 17357 = -v, 3*v = -4*l - v + 17372. Is l a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25102 - 25551. Which is the third biggest value? (a) s (b) 4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025239787?\nAnswer: 3, 75008881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111762819.28 rounded to the nearest ten thousand?\nAnswer: 111760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416210 rounded to the nearest 1000?\nAnswer: 416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 61*v - 962 - 951 + 110*v + 3*v**2 + 1739 = 0. Calculate v.\nAnswer: -58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21509420 rounded to the nearest one hundred thousand?\nAnswer: 21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 939.7457 millennia?\nAnswer: 11276948.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 63. Let y be -1*-5*d\/(16\/4). Suppose y*s = 487 + 523. What are the prime factors of s?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/5, 31, -5, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((2\/(-5))\/(15\/(-300)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.2 - 1.7. Let d = v + 11. Let x be (-16)\/4 - 6\/5*-3. What is the closest to d in -3, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4256223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-24))\/(((-1385)\/(-160) - 9)*-4)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1297 - 2.07.\nAnswer: 1294.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 31*l**2 - 575*l + 25. What is the smallest common multiple of i(-13) and 1600?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -36*h**2 + 0*h**4 + 0*h - 1\/525*h**7 - 1\/100*h**6 + 2\/75*h**5 + 0*h**3 + 0. Factor r(x).\nAnswer: -2*x**2*(x - 1)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3)*0)\/2. Suppose -3*x + 5 + 1 = w. Let z be x\/20*4 + -1. Which is the second smallest value? (a) 0.1 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 603127855 and 0.2?\nAnswer: 120625571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 3. Let d(r) = r**2 + 10*r + 4. Let f be d(-10). Which is the smallest value? (a) 2 (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5420 (base 9) to base 3.\nAnswer: -12110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1823 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.61 - 32. Let b = i + -1.61. Suppose 35*k - 29*k = -42. What is the biggest value in -0.5, k, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/2 + 2 - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.957 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 363 - 170 - 193 + 783*c to the form k*c + o and give k.\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(245) - (sqrt(245) + sqrt(245) + -1 + sqrt(245) + sqrt(245)))*-6)**2.\nAnswer: -6048*sqrt(5) + 317664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -55\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odwbxwl. Give prob of picking 1 x, 1 l, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 594 from 12.1335.\nAnswer: -581.8665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -1\/7, 3, 0.1, 61, -0.95?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 5*c + 2. Let v be h(-3). Suppose 4 = -5*x + v. What is the third derivative of 4*r**4 - 19*r**x - 15*r**2 + 25*r**2 wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -1*(-2 - 0). Suppose 0 = -6*p + o*p, -3*w - 5*p = -12. Suppose j - 531 = -3*z + 655, -4*j - 1576 = -w*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111100101111011110001 - -10?\nAnswer: -110111100101111011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - (-112160)\/(-12). Let s = k - -28274\/3. Let v = -78 + s. Sort 1\/6, v, -1\/3 in ascending order.\nAnswer: -1\/3, 1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 562.66, -7\/3, -0.4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 = -5*p, -3*g - 3*p - 789 + 903 = 0. Solve g*h - 162 = 114*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18\/5 - 47\/45. Calculate the common denominator of 47\/11 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*a**5\/5 + 21744*a**4\/5 + 1935814*a**3\/5 + 46129362*a**2\/5 + 161984128*a\/5 + 30917832 = 0. Calculate a.\nAnswer: -83\/2, -2, 2805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872 a factor of 2592519255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 211255964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(242))*3*-5 + -4.\nAnswer: -660*sqrt(2) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/13 + 14562*d\/13 + 1043984\/13 = 0.\nAnswer: -71, 7352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 19. Let u(k) = -k + 1. Calculate u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -62. Let h = o - -50. What is the nearest to 1 in h, -0.3, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t = 5. Let b be t + (-2 - 1 - -6). Suppose -3*q = -5*q + b. Do q and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose 0 = -3*a - s + 19, -5*a = -d*a + 3*s - 27. Suppose 0 = -l + a*w + 28, 3*l + w - 24 = 4*w. Solve p + l = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**6 - 5*u**2 + 5*u. Let a(q) be the second derivative of -q**3\/6 - 5*q. Let o(v) = -5*a(v) - k(v). What is the third derivative of o(h) wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/6 and 9\/30*20\/(-48)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -10*l + 5, -4*l - 62 = -579*s + 582*s for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829157888.\nAnswer: 2, 13, 347, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = w - 23*a + 21*a, -5 = -4*w - 5*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 146?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h*(h*h*(h\/h**(-1))\/h*h)\/h*h)\/h)\/h)\/h)**(2\/23)*h**(-2\/3)\/h**4)**31 assuming h is positive.\nAnswer: h**(-9424\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.0561585 weeks?\nAnswer: 0.3931095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/1*2\/40 and (8*2\/32)\/(18\/212)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 8 + 5)*(-2*m - 1 + 1 - 4 + 4 - 2*m + (1 + 3 - 3)*(-4*m + 2*m + m)) to the form j + y*m and give y.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/1 - (-2)\/3. Let u = 1.6 + -5.6. Let w = 3802\/9 + -422. What is the nearest to h in w, 2\/9, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -2*r - 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2511, 7374, 14587, 24144, 36039, 50266?\n\"Answer: -d**3 + 1181*d**2 + 1327*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, -2\/27, -0.3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 79*n - 948. Give w(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/(-21))\/13*(-4)\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 + 5*b**2 - 3*b + 2. Let g(s) = -8*s**3 - 14*s**2 + 8*s - 6. Let m(n) = -11*d(n) - 4*g(n). Calculate m(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/22 + 266\/77. Suppose 11*a + 3*o = 7*a - c, 5*o = 2*a - 24. Solve -5*v + 10 = -a*j, -5*v - 1 = 4*j - 11 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 4*q**2 - 4. Determine g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1486.8 at most -10.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-81)\/(-2))\/3*(58 - 0).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 1. Let m be c(-2). Suppose m*y - 8 = 3*n + 7, 0 = 5*y - 15. Let v(h) = -h**2 - 3*h - 3. Calculate v(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 9. Let a(n) = n + 1. Let d(i) = -4*a(i) + m(i). Determine d(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2220)\/2664)\/((-30)\/20).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**2 + p. Let n(l) = -131*l - 8*l**2 - 2*l**2 + 132*l. What is -7*h(w) + 5*n(w)?\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 17*s**2 + 19*s + 4. Let l be t(18). Put l, -1\/3, -5 in descending order.\nAnswer: l, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 17*k - 4*k - k**2 + 8 - 8*k + 0. Determine p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7402 divided by -2\nAnswer: -3701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(605) + sqrt(605) + sqrt(605)))**2*6.\nAnswer: 929280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f. Let c(u) = 4*u. Let o(k) = 5*c(k) + 4*l(k). Let p(r) = 3*r. Let z = 29 + -24. Give z*p(n) - 4*o(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -501310 (base 7) in base 5?\nAnswer: -10201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38745 or 193719\/5?\nAnswer: 38745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 46 = -6. Let a = v - 1. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 54*m - 49*m + 32, 0 = 4*m + 3*d + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (1*sqrt(5) + sqrt(5)))*-2 + sqrt(405) + 4 + sqrt(405) + -4.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.25, -4, 0.966, 17?\nAnswer: 0.966","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/112830 and -59\/3849?\nAnswer: 144760890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194156478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31746573.\nAnswer: 3, 31, 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -5, 29 in increasing order.\nAnswer: -8, -5, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3159 and 59\/10044?\nAnswer: 391716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 4, -2, 3 in increasing order.\nAnswer: -64, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*i**4 + 214 + 10*i**4 - 1124*i + 772*i with respect to i.\nAnswer: 8*i**3 - 352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 59*b - 26 = -27*b + 2*k - 18, -3*b + 19*k = 15 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15*n**2 + 66*n + 67. Determine a(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/5)\/((-5)\/(-25)). Find the first derivative of k - g + 3 + 0 wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/26577?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 149130975 to the power of 1\/2, to the nearest integer?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*y + 11. Let b(g) = g + 3*g - y*g. Let x(h) = -3*h**2. Give b(x(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15913*n = -15911*n + 2*u + 18, -48 = 4*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r. Let n be z(1). Let t = n + 6. Calculate the highest common divisor of t and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93050, 94146, 95242, 96338, 97434, 98530?\nAnswer: 99626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 5*y**3 + 0*y**3 + 2*y**3 + y**3 - y**3 + (0*y**3 - 2*y**3 + 4*y**3)*(1 + 2 - 1) - 19*y - 4*y**3 + 19*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, b: 3}. Give prob of picking 2 p and 1 b.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65, -34, -5, 22?\n\"Answer: -k**2 + 34*k - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) 11 (c) 426\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**6\/120 + r**5\/30 + r**4\/24 - r**3\/6 + 105*r**2\/2 + 105*r. Let f(a) be the first derivative of i(a). Give f(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*b + 18*b - 49*b - 17*b.\nAnswer: -106*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 16*z**2 + 0*z + 2*z to k + g*z**2 + d*z and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50877 is divided by 10167?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 813810426 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhnhbnhbbnhbnhb. What is prob of picking 3 b and 1 n?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.3 - 22. Let d = -35.3 + q. Let a = 24 + d. Sort a, -8, -3\/2.\nAnswer: -8, a, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31630 + 466262?\nAnswer: 434332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-2*(1\/(-8))\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35132 take away 170.23?\nAnswer: -35302.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-246535)\/(-65) + 6\/39 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = 19*k + 2*j + 424, -k + 429 = -j. Let d = 438 - k. Solve 19 = g - 4*c, -d*g + 6 = c - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 12:46 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4*r + 212*k**4 - 2*k**3 + 128*k**2 + 2*r wrt k?\nAnswer: 48*k*r + 5088*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -13*p + 5*q, -5*p - 218*q = -100*q - 114*q - 22 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10273*c - 64394*c - 9510*c - 1.\nAnswer: -84177*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*a*h**3 - a*h**2*z - a*h*z - 2*a*z + 14*a - 449*h**3*z - 164 wrt z.\nAnswer: -a*h**2 - a*h - 2*a - 449*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (448\/(-21))\/16 + 32\/6. Put 3, j, 5 in increasing order.\nAnswer: 3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*y**4 + 4*y**3 - 3104*y**2 - 1190540*y.\nAnswer: -144*y**2 + 24*y - 6208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -103, -2, 5 in descending order.\nAnswer: 5, -2, -4, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145.3*-0.18893.\nAnswer: 27.451529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59510777, -119021552, -178532327, -238043102, -297553877?\nAnswer: -357064652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001010110 (base 2) in base 13?\nAnswer: -675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31703 = -7*o - 3248. Suppose 2*k + 2437 = 3*t, 5*t + 8*k = 12*k + o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 10 = 16*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49334 and 2278.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/60 - u**4\/3 + u**3\/3 - 14*u**2. Give s(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -3 - 3101) + -4. Let l = 2183 + n. Let j = -1801\/2 - l. Calculate the common denominator of -10\/9 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 12, -15, -58, -123, -216, -343?\n\"Answer: -x**3 + x**2 - 13*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 + -13 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 13. Let x(b) = -b**3 + 10*b**2 + 9*b + 26. Let g be x(11). Let w(q) = -2*q - 3. Let z(j) = -j - 2. Calculate g*w(n) + y*z(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 382225453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2355 - 2355. Suppose 5*z + 1 + 9 = 0. What is the closest to z in 0.6, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 5*u - 1 - 6.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 2*v**5 + 0*v + (2*v**5 - 5*v**5 + 4*v**5)*((-5 + 1 + 2)*(1 - 6 + 3) - 4 - 4 - 1).\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*x + 126816*m**2 + 2*m*x - 21*m - x + 3164986 wrt m.\nAnswer: -2*m*x + 253632*m + 2*x - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14827 + 14975. Solve 0 = -18*q + 55*q + o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*z + 8 = -2*k - 284*z, -7 + 3 = -3*k - 5*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.39, 4\/7, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -16, -37, -58?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 + 38 = -55*l + 81 - 659 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 115377.1*1.9\nAnswer: 219216.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 5.4595.\nAnswer: 16.3785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, b: 5, o: 5}. What is prob of picking 2 o?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**4 - 62*p. Let a(k) = k. What is t(a(u))?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 11*q**2 + 14*q + 28. Determine f(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 5) in base 3?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -436, -929, -1596, -2431?\nAnswer: -3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -877016 + 13014700 = -d. Let o(v) = -24879*v**3 - 11*v**2 - v + 7. Let g be o(9). Let k = d - g. Round k to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690400 a multiple of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 456317*o**3 - 10*o**2 - 3*o + 3. Is c(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (22 + -15)) + -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(44) + sqrt(44)*2)\/sqrt(4)*2 + -5.\nAnswer: -5 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-150)\/(-125))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 9, -24, -2\/17, 5 in decreasing order.\nAnswer: 9, 5, 1\/12, -2\/17, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 23*a**2 - 24.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -f + 4*o, -35 = 29*f - 24*f - 2*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 14*k = -24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 16 = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6275856 and 152.\nAnswer: 119241264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, 13, -5, 3, 97 in ascending order.\nAnswer: -16, -5, -4, 3, 13, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n - 11. Let u = -35 - -32. Let w(b) = b + 4. Let c(m) = u*y(m) - 8*w(m). Determine c(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 132\/5*u**3 - 454\/5*u**4 + 16\/5*u**2 - 258\/5*u**5 + 0*u = 0. Calculate u.\nAnswer: -2, -4\/43, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*m + a, 4 = 5*m - 2*a. Suppose 3 = m*h - 5. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 74*y - 567. Let f(z) = -26*z + 189. Give -17*f(h) - 6*t(h).\nAnswer: -2*h + 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.2 (c) 1 (d) 2.9 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 14 - (62 - 66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(4\/15)*x\/(x*((x\/x**(-2\/3))\/x)\/x)*x*x**(-2\/23)\/x assuming x is positive.\nAnswer: x**(59\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**7)\/i)\/(i*i**13))**(6\/5))**20 assuming i is positive.\nAnswer: i**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, 38, 101.\nAnswer: -16, -2, 38, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/294 and 83\/98?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1. Let v(u) = -1. Let a = -4 - -12. Let y(d) = 3 + a - 4*d + 3*d - 17. Let o(h) = -2*v(h) + y(h). Calculate o(i) - 2*q(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 20*d**2 + 2. Let k be a(20). Let g(p) = -17*p**k + 3*p**2 - 23*p - 8 - p**3 + 33*p**2 + 2*p**3. List the prime factors of g(-20).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6)\/(sqrt(3)*1))**2*-6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(1573)*-1) + 1*sqrt(1573) + sqrt(13) - (-6*sqrt(13)*-3 + (sqrt(156)*3)\/sqrt(12)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10676 is divided by 667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 406, 377, 336, 283, 218, 141?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-333)\/(-45)*620\/(-124)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 4*i - 17*i + 7*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**5\/60 - q**4\/12 + 6*q**2. Let n be d(-3). Are n and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - a + 19 = 4, -3*a + 55 = 4*f. Suppose -4*j = -216 + 80. Let p be (-4)\/2 + (j - -1 - 1). Solve -4*l = -2*b - 2*b - p, 2*l - f = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.3 + -13. Let f = 2.68 - 2.58. Sort v, 1\/18, f, -0.1 in increasing order.\nAnswer: -0.1, 1\/18, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by -1.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 10. Determine z(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165709\/57 - -2907. Let l = h + 526\/399. Which is smaller: l or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158712 divided by 2\nAnswer: 79356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1660 or -1659?\nAnswer: -1660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-g + 4*g - 4*g) + (4*g - 3*g + g)*(-21 + 18 + 9).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 7*j**5\/20 - j**4\/12 + j**2 + 15*j. Let i be p(-2). Let b = i + 91. What is the remainder when b is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 4*w - 12. Let o be l(7). Which is the nearest to -0.1? (a) o (b) 3\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-6 - -6 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 112\/(-3)*(-24)\/(-2)*-12. What is the greatest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097442 less than -125841?\nAnswer: -125840.902558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*w**4 + 3 + 138*w**4 - 280*w**4 + 63*w**2 + 9*w - 10*w + 164*w**2 in the form o*w**3 + l*w**4 + x*w + c + n*w**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.6 + 25.6. Which is the closest to o? (a) -3 (b) 0.3 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 518?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b + 44*b + 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (23 - (-6 - (-15 + 2 + -1)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ec - -6?\nAnswer: 5f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (3 + 5 + 13 + -10 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 406384067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/4 (b) 0.2 (c) -0.4 (d) -3 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 190102*a**2 + 10775 wrt a?\nAnswer: 380204*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maam. What is prob of picking 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 510 - 5?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 264*m**2 + 1. Let w(t) = -2315*t. Calculate x(w(q)).\nAnswer: 1414835400*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2, -108, -1, 0.1096?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 30 = p, 10 = 3*n - n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 6. Suppose 4 = l*b - 2. Suppose 4*a - b*d = 0, d + 2 = 4*a - 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1110000000?\nAnswer: 1110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 21 = p. Let r = -9 - p. Suppose 4 = -3*f - 5*n - r, 5*f - n + 2 = 0. Which is the smallest value? (a) -0.4 (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 40. Suppose 0 = 5*b - 4*n + 61, 3*b + 120*n + 19 = 118*n. Calculate i(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.049 * 0.05\nAnswer: 0.00245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/6 - 8*v + 1. Let n(p) = 25*p. Give n(h(d)).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.906333ug to milligrams.\nAnswer: 0.000906333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-12) + (-205)\/(-180)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-2538)\/(-648) - -83?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4\/7*a**4 + 130\/7*a**2 + 82\/7*a**3 + 44\/7*a + 0 = 0?\nAnswer: -1, -1\/2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + -2 - 0\/(31 + 12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 4 - -16 - 7) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -1790\nAnswer: -17.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 199 (b) 0.2 (c) -10 (d) -3 (e) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3245*p - 4*g + 30 = -3246*p, -5*p + g - 93 = 0 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -13. Which is the second smallest value? (a) -4 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7462 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11028489, 22056978, 33085467, 44113956, 55142445?\nAnswer: 66170934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 - 126. Suppose 57 - 17 = -5*k. Let b = k + d. What is the remainder when 72 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = 56. Calculate the remainder when (r\/(-6) + 1)*-3 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12970 - 9010. Calculate the greatest common divisor of r and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(1*-1))\/(32\/512*-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 427 - 195. Suppose 60 = 4*a - m. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*f + 92*f + 28 = 0. Let l be (-14)\/70*5\/f. Which is the fourth smallest value? (a) 0.5 (b) l (c) -0.09 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -1168?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -843040, -843034, -843014, -842974, -842908, -842810, -842674, -842494?\nAnswer: -842264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - 3) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 7. Let q = -5 - g. Solve q = -x - 1 - 0, -o = 4*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 divided by 8.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90.3 + 107. Let r = 17 - y. Let s = -3.3 + r. Which is bigger: 3\/7 or s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 910 + -907. Let v(j) = -3*j - 4. Let x be v(-3). Suppose -666 = -x*u + 3*z, u - 2*z - 130 = -q*z. Does 34 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*z + 1148*z = 169 + 103 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/542335 or 0?\nAnswer: -7\/542335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -1\/4*t**4 - 3 - 1\/2*t**2 - 4\/3*t**3 + t. Let i be n(-4). Solve 0 = i*p - 5*c + 17 - 2, 3*c = 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*((-250)\/(-1625) + 73\/(-52)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -50?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*j - 135*j + 16944 + 28941 = 335*j for j.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148403 is divided by 12356?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0*n**3 + 0*n**6 + 0*n**5 - 189*n**2 + 0 + 0*n + 13\/15*n**7 - 163\/12*n**4. What is the second derivative of h(v) wrt v?\nAnswer: 2184*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 11, 1\/11, 4\/1147?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -7. Solve n + 5 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -4, -0.5, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/107215?\nAnswer: -1\/107215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*n - 2*n. Let z = -77 + 80. Let o = z + n. Calculate the highest common factor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smlmjilllsls. Give prob of sequence mml.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*2\/6 + 248. Suppose 0 = 5*h + 5*d - f, 2*h - 3*d - 282 = -3*h. Let y(j) = j - 3. Let l be y(9). What is the greatest common factor of l and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.02, 183, -3 in ascending order.\nAnswer: -5, -3, -0.02, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977295679.\nAnswer: 29, 353, 95467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 58261273 = 821752. Suppose -4*z + n = -1282039. Let w = -9874661 + z. Round w to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 85\/25 + 7\/20. Sort -2\/13, u, 1\/2, 2\/9 in increasing order.\nAnswer: u, -2\/13, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k + 5. Let i(r) be the second derivative of r**5\/6 + 147*r**2 - 71*r. Let w(m) be the first derivative of i(m). Determine w(f(h)).\nAnswer: 360*h**2 + 600*h + 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101471791*f**2 - 18863654*f wrt f.\nAnswer: -202943582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (8 + -3)) + (-5 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 24*n - 50 = -26*n, 5*n = 5*m - 50. Solve 4*l - 24 = 4*x, 0 = 3*l + 4*x - 0*x + m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1540 - 375 = 80*u + 1205 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/20 and 39\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -870, -2802, -5794, -9840, -14934, -21070?\nAnswer: -28242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 2*l + 5. Let d be y(4). Let u = -1116 - -1116.5. Put -0.4, u, 2, d in ascending order.\nAnswer: d, -0.4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 2710*x**2 + 5440*x.\nAnswer: -5*x*(x - 544)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.99 + -19.59. Let o = -0.6 - w. Let x = 16.999954 - o. What is x rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 576789380, 576789382, 576789386, 576789392, 576789400, 576789410?\n\"Answer: i**2 - i + 576789380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 40 = 0. Let a be 2\/10 + 38\/10. Calculate the remainder when g is divided by (-3)\/6 + 14\/a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3117*l**3 - 5*l**2 - 15*l - 14. Is f(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 19.1. Let d be 160\/132 - (5 - 343\/77). What is the closest to d in -3, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 2152 - 2160 - 2151 + 6463.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 4, -12, 23 in increasing order.\nAnswer: -26, -12, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 88321.98mg?\nAnswer: 0.08832198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8*l = -3*l + 12, 2*x = 4*l. Solve -10*r = -x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1306.4135608 - -548.\nAnswer: 1854.4135608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28, -2\/5, -0.5, -1, -1400, 1\/11?\nAnswer: -1400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -92*y**3 - 18*y**2 - 59*y - 99. Let b(n) = -239*n**3 - 45*n**2 - 148*n - 247. Let r(a) = 5*b(a) - 13*j(a). Determine r(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -504, 262, -4?\nAnswer: -504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(639 - 343 - 210)*(0*l**4 + 2*l**4 - 3*l**4).\nAnswer: -86*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (103\/(-1287))\/((-16203050)\/902148080). Let u = 2\/37915137 - f. Let k = -8\/143 - u. Find the common denominator of k and 7\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeaeaaeeeaeaaaaea. Give prob of picking 2 e.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.05 (b) 17061 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -570499*b**6 - 74*b**2 + 2*b + 103.\nAnswer: -68459880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -42. Suppose -10*n + 9*n = -29. What is the remainder when n is divided by (w\/30)\/((-1)\/40)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 345, 825, 1291, 1737, 2157, 2545?\n\"Answer: -r**3 - r**2 + 490*r - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 622\/42 + (-9)\/(-27). Let g = w + -102\/7. Sort -0.3, 1, g in descending order.\nAnswer: 1, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6281 - 6281.005206. What is r rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-411)\/(-27) + (-8)\/36. Let h be (-76)\/6 + 5\/r. Let p = h + 413\/33. Is 1 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:35 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 + 2*z + 210*z**4 - 3*z**2 + 3*z**3 - 208*z**4 in the form j*z + n*z**2 + l*z**3 + u*z**4 + h and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/7 + (2550\/(-126) - -4). What is the closest to -1 in 2, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*b - 12 = 0, -4*t = 3*b - 6*b + 20. Let r be t\/((24\/10)\/(-3)). Factor -7\/2*z**3 + z**4 + 1\/2 + 9\/2*z**2 - r*z.\nAnswer: (z - 1)**3*(2*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1478*d**4 + 523*d?\nAnswer: 17736*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1956 - 1954. Let t(s) = 7*s**2 + 2*s - 2. Let d(c) = 15*c**2 + 5*c - 5. Determine y*d(k) - 5*t(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -916 by -4.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from asssazazas.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*v + 35, 7*y + 14 = -2*v + 6*y. Let h be 4\/6 + (-1695)\/v. Suppose h + 183 = 2*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -3\/7, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/2*(-75)\/(-20)*9\/(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 68070 divided by -1\nAnswer: -68070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20683 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 3. Let s(q) = q + 13. Let t be s(-9). Suppose 2*w - 3*c = -t, 0 = w - 4*c + 5 - 3. Let y = w - -7. What is j(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5546150 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25996520279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35945 and 1820.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -306, -269, -242, -231, -242, -281?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213760 is divided by 7909?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)\/((i*i*i**1)\/i))\/((i*i\/i**(1\/2))\/i)**(-21))\/(i\/(i\/(i**(1\/7)\/i))*i*i**0)**38 assuming i is positive.\nAnswer: i**(-41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**(23\/4))**(-2\/63)*((f**(1\/2))**(2\/21))**(8\/9) assuming f is positive.\nAnswer: f**(-37\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/36 and 2906\/672 + -5 + 8\/24.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d**2. Suppose 0 = -x - 2*x + 6. Suppose 4*f - 4 = -0*f + s, -12 = -2*f - x*s. Let q(m) = -19*m**f + m + 20*m**2 - m. Give n(q(i)).\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*m = 6*p + 75, -5*m = -p - 36. What are the prime factors of 6\/(-21) + (-426)\/p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (3*1*sqrt(80) + sqrt(80) + sqrt(80) - sqrt(80)))\/(6*sqrt(16)\/sqrt(4)*-4).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**7\/280 + 17*i**4\/12 + 8*i**3\/3 - 4*i. Let r(k) be the second derivative of x(k). Differentiate r(l) wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 1 + 1 + (-1 - 3 + 3)*(-6*h**3 + 4*h**3 + h**3) + 9*h**3 + h**3 + 4*h**3 as x + z*h**3 + u*h**2 + o*h and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -59027088147+1201\nAnswer: -59027086946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077.3233 rounded to 1 dp?\nAnswer: -1077.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13471 - -9938.5662.\nAnswer: -3532.4338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffvvffvyffpvvpffpv. Give prob of picking 2 p and 1 v.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -670 - 11*v - 688 + 1382. Let o be f(0). Solve -b + 17 = -5*t, -b + 4*t + o = 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -561 + 1403. What are the prime factors of h?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - z - 250 + 252 + z.\nAnswer: -4*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 7. Let k be o\/(-9)*(-3)\/(-2). Let i = -95 - -94. Which is the nearest to i? (a) 0.2 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.232579m?\nAnswer: 2232579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14201021 (base 5) in base 14?\nAnswer: 3b80b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24014 + -2689469\/112. Find the common denominator of n and -13\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 30*t**2 - 58*t + 159. What is c(3)?\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/3))\/(h*h**(2\/13)*h))**(-1\/5)\/(h\/h**(1\/4)*h**5)**(-30) assuming h is positive.\nAnswer: h**(67313\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxvxuxfuzsxf. Give prob of sequence sff.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2080.5971 and 4?\nAnswer: 8322.3884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -7 + 84728\/7832?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 151\/9 (c) -1 (d) 0.04 (e) -0.3 (f) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 516 + 2*q**3 + 516 - 3*q**4 to l*q + n*q**3 + z*q**2 + c*q**4 + r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 20 = 7*l. Let n be (0 - 1757\/(-35)) + (-1)\/5. Suppose -n*u = -49*u - l. Calculate the greatest common divisor of u and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqyq when four letters picked without replacement from {q: 3, y: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-39))\/((-5236)\/2856).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p + 6, -3*p + 4 = 5*k. Let o(l) = 20*l + 4. What is the units digit of o(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10104 (base 6) to base 7\nAnswer: -3616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-12)\/(4488\/17))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4616592 - -5?\nAnswer: -461658c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 0 (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, -13, -38, -73?\n\"Answer: -5*h**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 4*i**2 + 2*i - 6. Let f be s(4). Let r = 17 - 13. Find the second derivative of -f*v**r - 3*v - v**4 + 0*v**4 wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 7*o**2 + 2*o + 9. Let f be s(-6). Let g = f - -16. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000937158521 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 18760?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 230 = -5*q - 34, -3*q - 3*o + 96 = 0. Let w = -31 + q. Suppose 12 = 5*u + 2*m - 9, w*u = m + 12. Solve -2*x + 25 = u*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2 + 2*c + 1. Let g be s(-1). What is the third derivative of -v**2 - 4*v**g - 2*v**5 + 4*v**2 wrt v?\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*f - 14 = -45, -4*f - 7 = b. Let h be b*1*(-4 + 5). What is the derivative of -h*p - 3 + 0 + 3*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - x - 22 = 0, -604*h + 600*h + x + 17 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1994956648 to the nearest integer?\nAnswer: 44665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(2 + 1 - 5)*(-4 + 0 - 1)*(a**2 + 18*a - 18*a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -43.2. What is u rounded to 0 dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9312 and 97109028?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -103db66?\nAnswer: 103db69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 19 - 17. What is the smallest common multiple of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1577)\/(19 - 0) + (0 - -3). Is y less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8 - -0.2. Let t = -27 + 25. Let h be ((-3)\/42)\/(t\/7). Which is the closest to -2\/11? (a) 2\/5 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 14*v + 15. Let u = 34 - 19. Let b be z(u). Suppose b = -3*k + 30 + 15. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2376453 to the power of 1\/2, to the nearest integer?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -78247649.4 to the nearest one hundred thousand.\nAnswer: -78200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 15*y + 6*y + 9 = -0*y - 3*y - y, 5*b + 7 = 2*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 4. Let n be r(-5). Let w = -7 + n. Let -k**w - 2 + 4*k**3 - 5*k - k**3 - k**2 + 2*k**3 + 4*k**4 = 0. Calculate k.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgdhhc. Give prob of sequence gd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -3 (b) 73 (c) -13 (d) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-20))\/((-1)\/(5\/6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 2 = 11*l. Solve 4*x - x + 2 = l*a, -a + 4 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037 is divided by 112.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -582, 47, -1\/3, -2\/273, 5?\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2554*t - 90 = 2536*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7814 or 7811?\nAnswer: 7814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-8)\/(72\/197) - ((-3360)\/72)\/(-20).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50*1.03.\nAnswer: 51.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17.36708 kilometers?\nAnswer: 17367080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*o - 212 = 390*o. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129d9 (base 16) to base 10\nAnswer: -76249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + k - 3588 = 0, 5*d + 4*k = -733 - 1491. Is -455 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71978 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 - 4 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 239446841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 364*v**2 + 361*v + 277. What is h(181)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71757 + 19230933\/268. Let q = h + 5\/134. Factor -q*w**3 - 1\/2*w**2 - 1 + 7\/4*w.\nAnswer: -(w - 1)**2*(w + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127\/4 - 32. Let t = 94 + -96. What is the third biggest value in t, b, 9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461, -456, -451, -446?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3\/3 + 2*w**2 - 7*w + 1. Suppose c = -2*c + 51. Let l = 12 - c. Calculate g(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639416?\nAnswer: 2, 257, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 328 - 328. Suppose -40*g - 22 - 18 = m. Let o = -5 + 8. Sort o, g, 0 in decreasing order.\nAnswer: o, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 7092*p**2 + 7 - 8 + 7024*p**2 + 3*p**3 + (1 - 3 + 1)*(3*p**3 + 3*p**3 - 5*p**3) as b*p**2 + g*p**3 + v*p + k and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5751 + 4014 = 0. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*m**3 + 200*m - 1897?\nAnswer: -30*m**2 + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*o = -10, -r - 1 = 4*o - 9. Let f = -2 - r. Solve -f*a = a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.7? (a) 3 (b) 0.3 (c) -3 (d) 0.31 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*((-35)\/6 + 6)*71789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:30 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4*t + 0*t - 165 = -185, -b = 11*t + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6358144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3237.3 - -3271.3. Which is the closest to -0.11? (a) x (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 7*t + 5. Let a(g) = -4*g - 1. Let z be a(-1). Suppose 5*s + z = 23. List the prime factors of w(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9727, -19470, -29211, -38950, -48687?\n\"Answer: g**2 - 9746*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/31)*u*u**(-3\/4))\/((u\/((u\/(u\/(u\/(u\/u**6))))\/u))\/((u**(-2\/25)\/u)\/u)) assuming u is positive.\nAnswer: u**(10027\/3100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117162765.\nAnswer: 3, 5, 2603617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w**2 + w**2 + 2*w**2)*(2 + 3195*w + 7*w + 1237*w) to the form j + h*w + p*w**2 + r*w**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.06 (c) 10906\/5 (d) -70\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(2\/33)*s))**18\/((s*s*s**1)\/s*s)**40)**44 assuming s is positive.\nAnswer: s**(-5328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22236 and 4251?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -2\/21 (c) 4\/9 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75187919\/462 + -3789830\/21. Let w = a + 17719. Calculate the common denominator of 73\/4 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7644, -7632, -7618, -7602, -7584, -7564?\n\"Answer: j**2 + 9*j - 7654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*a + 7*a. Suppose 0 = 3*q - a*r + 134997, 3*r + 90004 = -2*q - r. Round q to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggi. Give prob of picking 3 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 246*p**3 - 1691*p**2 - 218*p - 4. What is t(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: (-304)\/28 - (-7 - (-9)\/(-9))\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**2 - 2*q - 3. Let r(o) = o**2 - 15*o - 12. Let n be r(16). Let m(y) = -y**2 - 1. Determine n*m(h) - g(h).\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Rearrange -3052*b - 11531*b - 4013*b to v*b + m and give v.\nAnswer: -18596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*v + 5 = 0, -3*n + 4*v - 8 = n. Let q = 3 - 2.9. What is the closest to -2\/9 in -3, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -824, -3317, -7472, -13289, -20768, -29909, -40712?\n\"Answer: -831*j**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -40*m**2 + 25. Let c(r) = 5*r**2 - 3. Let w(x) = -25*c(x) - 3*u(x). Let j(d) = -4*d. Calculate j(w(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.4049 rounded to one dp?\nAnswer: 19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from qnqlqqqdpqqpqqnqnqq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121297 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kga when three letters picked without replacement from {z: 5, h: 1, g: 5, k: 2, a: 1, s: 5}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 + 5*w**2 + w**2 - 2*w**2 to r*w + u + i*w**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/12 - 1)\/(3\/6). Suppose -4*t - 3*q - 25 = -8*q, 3*q = -3*t + 15. Factor -d*c**3 + t - c - 4\/3*c**2.\nAnswer: -c*(c + 1)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 3301*g**3 + 3302*g**3 - 6*g + 0*g + 12*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 938*n**2 - 5604*n + 31. Give h(6).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1705 = -0*x - 5*x - j, 0 = -x + 2*j - 341. Is -4755\/14 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3\/2 - 312757485*r**2\/2 + 4890862064797515*r\/2 + 4890862377555005\/2 = 0. What is r?\nAnswer: -1, 31275749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4838 + 6970. What is the highest common divisor of 156 and g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 - 4*o**2 + 2*o. Let b be i(2). Let s be (-2)\/((9*6\/(-9) - -7)*-2). Calculate the greatest common factor of b and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q - 22. Suppose 2*o + 4 = -5*z, -4*o + 2*z - 9 = -1. Let n be v(o). Let t be (-20)\/(-65)*(-1)\/n. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/(-195))\/(5\/6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Find the third derivative of r**3 - 3 - 3*r**3 + 3 - y*r**2 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cucuccdduucuiducu. Give prob of sequence cdc.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22*(-44)\/(-484)*((-9)\/(-3))\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**2 + 25 + n**3 + 2*n - 43 + 24. Let t(i) = -3*i**3 - 22*i**2 - 5*i - 18. Let s = -25 + 18. Let h(f) = s*d(f) - 2*t(f). Determine h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -230*d - 186 + 430 + 246*d + 4*d - 3*d - 2*d - d - d + 0*d + (-1 - 1 + 1)*(-3 - d + 3) + 2*d - 5*d + 4*d.\nAnswer: 15*d + 244","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + 1. Let u be j(1). Suppose -u*g + 0*g = -72. What is the least common multiple of 16 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49263, 98687, 148101, 197505, 246899?\nAnswer: 296283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f + 4 = 0. Suppose 27007 + 142993 = -f*d. What is d rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30814 times 3?\nAnswer: -92442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 395.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 408*q - 1646. Let c be z(-4). Suppose -4*h = -h + 6. Let a be (2 - 0) + 2\/(-1). Sort h, a, c in descending order.\nAnswer: c, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48507 to the nearest one thousand.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 245289437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*k - 5*k**2 + 14*k + (-4 + 5 - 3)*(16*k**2 - 4*k**2 + 9*k**2) + 4*k**2 - 4*k**2 - k**2.\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -49*u**3 - 6*u**2 + 12. Let k be v(4). What is k rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3281 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {a: 6, k: 2, l: 2, z: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 39*u**2 + 47*u**2 - 1 in the form j + y*u**2 + l*u and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1016470 smaller than -1016450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -350, -414, -504, -620, -762?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-33 + 54)) + (-5 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*f**2 - 133*f**2 + 58*f**2)*(2*f + f + f) as v*f + y*f**2 + z + l*f**3 and give l.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/36*4*20*1050\/(-280)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzzxu. Give prob of sequence xw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(35\/26) + -6\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 59723445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (1 - -41)*-1. Suppose -a*u - 137 = -39*u. Calculate the remainder when u is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0, 2\/3, -29.\nAnswer: -29, -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -146 + 2*q**2 + 398 - 4*q**2. Let i be d(0). Let g = i + -151. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 73. Suppose -d*a - 14866 = -8*a - 2*p, p = a - 3712. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1402, -1469, -1536, -1603?\n\"Answer: -67*m - 1335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973060?\nAnswer: 2, 5, 11, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1091900284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 271028 bigger than -235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/11 + 138*m**4\/11 + 1952*m**3\/11 + 9960*m**2\/11 + 20672*m\/11 + 14976\/11 = 0. Calculate m.\nAnswer: -52, -9, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10310?\nAnswer: 2, 5, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + q + 4. Let o be (0\/(4\/16*4))\/3. Give j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0\/x*x)\/x)**(1\/7)*x\/(x\/x**(-9)*x*x)*x**(-11) assuming x is positive.\nAnswer: x**(-155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3 - 9452*y**2 - 6127644*y - 626080500 = 0. Calculate y.\nAnswer: -1119, -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:28 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 53 = -5*m, -2*m - 120*y + 45 = -115*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(891))**2.\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*k + 1138351*f - 10224*k - 523 wrt f.\nAnswer: -k + 1138351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83240364 to the power of 1\/2, to the nearest integer?\nAnswer: 9124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 9169680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/5 + 17454*l**3\/5 - 7047843*l**2\/5 - 35780844*l\/5 + 42811236\/5 = 0. Calculate l.\nAnswer: -6, 1, 442, 5381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 7. Suppose 239477*l = 239509*l. Which is the nearest to 2? (a) 0.4 (b) -1 (c) w (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 12:15 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdz when three letters picked without replacement from bdzbzdzb?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 131 (b) 652 (c) -0.1 (d) 1\/4 (e) 4 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 21*b**3 + b**2 + 630*b - 632. Let a be d(1). Let n = 21 + -6. Solve n*i - a*i + 15 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10031)\/(-315)*5 + 4\/(-18).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-4))\/(3\/(-45)*(-4530)\/(-9362))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14794087 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82240.64 - -84050. Let f = s + -1874. What is f rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p**2 + 27273 - 27274 + 12*p**2 - 4*p**4 to the form j + l*p**4 + s*p**2 + z*p**3 + h*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1781 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.759562 grams in tonnes?\nAnswer: 0.000000759562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 3*w**2 + w**2)*((-3 + 2*w + 3)*(-1 + 6 - 3) + 3 - 3 + w + 2 - 2*w - 2).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -6*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/27, -1\/3, -68\/5, 4, 0?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -71. Let j(y) = 2*y**2 - 16*y + 4. Let b be j(a). Calculate the greatest common factor of 6 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 - -135. What is the remainder when 121 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-1)\/1) + (-5 - -11). Calculate the greatest common factor of 81 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*z - 3. Suppose 4*n - 5*f + 3611 = -396, f = 5*n + 5035. Let x = n - -11080\/11. Which is the second smallest value? (a) z (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -11 + (-6 - -14 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -44*k + k + 209 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 26*d - 996. Let u be q(21). Let l(o) be the first derivative of -o**2 - 6*o + 1. Let i(r) = 4*r + 13. Calculate u*l(t) - 4*i(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.3834?\nAnswer: 0.03834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 20*n**2 + 22*n + 26. Let a be 6*(-4)\/(-8)*(-3 - 4). Let d be l(a). Solve 0 = -b - 5*h + 30, -d*b = 4*h - 35 - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357683 is divided by 2542?\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019168 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.04 + -0.04. Let p = 153 - 152. Which is the nearest to 0.1? (a) s (b) p (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 divided by 65?\nAnswer: 561\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 162 = 3*k, 0 = f - 0*k - 2*k + 88. Let j be 9\/f*16\/(-66). Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 4*p**2 + p - 3. Suppose -j = 2*j - 12. Let o be l(j). Which is bigger: 2\/27 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 786, 2841, 6436, 11571, 18246, 26461?\n\"Answer: 770*f**2 - 255*f + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232\/161 + -20\/23. Let g = 0.093 + 0.207. Which is the third biggest value? (a) -0.5 (b) -3\/2 (c) g (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 233 = 307 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 11 - 19 = 0. Suppose -s*n = -3*n - 9. Let i be n\/(-20)*1\/(-6). Is 0 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 23*x**3 - 128*x**2 + 323*x - 262. Let h(k) = -15*k**3 + 85*k**2 - 215*k + 175. Let l(y) = 8*h(y) + 5*p(y). Factor l(d).\nAnswer: -5*(d - 3)**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 times -180\nAnswer: -22140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -98\nAnswer: 137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 21425*q**2 + 128415*q - 192555.\nAnswer: 5*(q - 4279)*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) + 36\/15. Suppose -4*r + 12 = -0*r. Suppose 0*i + i = -4, -r*i = 5*o + 7. Solve 0 = -c*d - 4, -o - 16 = 5*y - 4*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -1379?\nAnswer: 13.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b + 15, -3 = 2*y + b. Suppose -8*o + 64 = -32. Sort o, 0, y in decreasing order.\nAnswer: o, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 5, c: 2, j: 3, l: 7}. What is prob of sequence cc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 62*p**2 + 3*p + 311. What is the ten thousands digit of v(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j)**29\/((j**7*j)\/((j*j**12)\/j)))**42 assuming j is positive.\nAnswer: j**2604","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 2*f + 3*f)*(-123 - 81 - 179 - 331) in the form v + t*f and give t.\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 2*c. Let x be b(2). Suppose 1 - 25 = x*d. Does 11 divide (44\/d)\/((-1)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*a + 32 = -125*a + 5*c, 5*a + 4*c = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*s - 249*s - 725 = 0. Calculate the remainder when 505 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -4)\/4 + 4\/16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -82, -298, -656, -1156, -1798, -2582, -3508?\n\"Answer: -71*t**2 - 3*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 + (-1088)\/(-3). Let o be (-4 - 2\/2)*(v + 12). Let z = o + 5122. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*w, 0 = 3*a - 14*w + 11*w - 27 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7490, 7487, 7482, 7475, 7466, 7455, 7442?\n\"Answer: -p**2 + 7491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, and 2 x when four letters picked without replacement from xxtxxrxrttrxr.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*t = -2*q - 493*t + 12, -5*t + 27 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6*u. Let q be (2 - -2)*7 - u. Suppose -2*a = 3*l - 18 - 26, -2*a + 5*l = -q. What is the highest common divisor of a and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3715341422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*v)*(-15*v - 8*v - 5*v).\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (40 + -33)) + -33\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from {l: 1, q: 2, n: 1, i: 1, j: 2, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 10624*w\/5 - 148344\/5.\nAnswer: -2*(w + 14)*(w + 5298)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 13*w**2 + w. Let t be j(-1). Solve 3*a = -a - t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420734 is divided by 209867?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282 + 126*j**2 + 282 + (-j + 3*j + 0*j)*(j - 3 + 3) + (0*j + 0*j + j)*(0*j + j + 0*j) to the form t + b*j + d*j**2 and give d.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19499\/8 - 2437. Let o(t) = -t + 4. Let z be o(3). Which is the closest to z? (a) w (b) 2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - n + 2*d + 24, n = -d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 10) to base 8\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.77 - -1.27. Let h(c) = 2*c**2 - c. Let p be h(1). Put p, d, -1\/6 in increasing order.\nAnswer: -1\/6, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2728 rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -46\/8353?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1356399 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1632*c**2 + 569*c**2 + 332*c**2 + 105*c**2 to g + d*c + w*c**2 and give w.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1110 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*o - 19 = 0, 5 = 12*d + 25*d - 36*d - 4*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(0 - -3))\/(1\/(-1)). Let j be -2*3\/n - (-5 + 2). Solve -9 = -4*m - 3*k, -2*k + 1 = -m - j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2085\/8 + 261. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 96, -69, -236, -405, -576, -749?\n\"Answer: -y**2 - 162*y + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 + 3*n + 3. Let x(a) = 6*a**2 + 4*a + 4. Let b(l) = 4*g(l) - 3*x(l). Let d(c) be the first derivative of -c**3\/3 + 18. Calculate b(d(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 2\/3, -12.27931?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*d + 33675 = 41427 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8.3. Put 2\/13, h, -3\/7, -9 in decreasing order.\nAnswer: 2\/13, h, -3\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27307*l + 5 - 5 - 27309*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:27 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, y: 4, x: 6, a: 1}. Give prob of sequence uuyu.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13296443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -489 (base 13) to base 5.\nAnswer: -11124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and 0.6?\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 192*w**3 + 5312*w**2 + 33792*w + 61952.\nAnswer: 2*(w + 4)**2*(w + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/n**(2\/27)*n*n)*n*(n**(7\/3)*n*n)\/n*n*n)\/(n\/((n*n**(-2\/9)\/n*n)\/n)*n**(-2)))**31 assuming n is positive.\nAnswer: n**(5177\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 - 458400*r - 458365*r + 916700*r.\nAnswer: -65*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + sqrt(20) + 4 + 2 + -2.\nAnswer: 4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*c + 81*c + 10*c)*(8*c - 4 + 4).\nAnswer: 2024*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**2. Let r be (1\/(-2))\/(7\/(-42)). Let g(u) = 165*u + 35. Let v(p) = 14*p + 3. Let o(s) = r*g(s) - 35*v(s). Give o(m(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*u**2 + 94*u**2 - u + 8*u + 18*u**2 - 5*u to y*u + k*u**2 + g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 924.3416 grams to milligrams.\nAnswer: 924341.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let h(v) = 8*v**2 - 100*v. Give h(m(b)).\nAnswer: 8*b**2 + 100*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**8\/13440 - y**7\/336 - y**6\/30 + 11*y**5\/30 + 35*y**2. Let x(g) be the third derivative of c(g). Factor x(i).\nAnswer: -3*(i + 2)*(i + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (399\/266)\/(2838\/(-194)) and -63\/110?\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22*d - 33. Let b be s(-7). Let w = -186 - b. Calculate the lowest common multiple of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-12 - (26 - 39)) - -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/18171?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + 0.07. Put s, -2, 1 in ascending order.\nAnswer: -2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3384*s**3*t**3 + 7*s**3*t + 4*s**3 + s**2 - 22*s*t**3 - 5563*s wrt s?\nAnswer: 20304*t**3 + 42*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w + 1860 = 26*w. Calculate the greatest common factor of 204 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144100 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (13 + -19)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8b5f3 (base 16) to base 2\nAnswer: 10001011010111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(sqrt(363) + -1 + -5 + 1 + (2*sqrt(363))**2 + -5 + 4) + 1).\nAnswer: -5780 - 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1.939, 0.\nAnswer: -0.1, 0, 1.939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7 + 2 = 0. Let a be (18\/4*2)\/d. Calculate the greatest common factor of 18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*u + 765 = -162*u. Let v = -149 + u. Solve 2*q - 12 = -v*m, -2*m + 16 = 3*q + 3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**3 - 489*i**2 = 0.\nAnswer: -163, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 6 - 2)*(-3336 + 1708 - 12*x + 1670) to p*x + h and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from xxyyxcyxxxcyxx.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 128, 207, 288, 365?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -34*n**2. Let a(z) = 11*z**2 - 9. Determine o(a(g)).\nAnswer: -4114*g**4 + 6732*g**2 - 2754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1521 or -2628?\nAnswer: -1521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2908, 2898, 2888, 2878, 2868, 2858?\n\"Answer: -10*x + 2918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 25 - 3. Let j = 7 - g. Suppose 0 = 2*r + 2*l, j*l - l - 18 = -5*r. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6237 and 30954?\nAnswer: 835758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1560457840*h**2 - 229502091 wrt h.\nAnswer: -3120915680*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62977?\nAnswer: 71, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -169 + 171. Determine l so that 197*l - 96*l - 95*l - l**c = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/12 and 41\/81?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + (-7 - 16) - 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7442871.\nAnswer: 3, 617, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3545*j + 74485. Determine c(-21).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*g - 29 - 12, 4*g - 19 = -n. Let c be (-10 - 0)*(-2 + 1). Find the second derivative of n*m + c*m + 5*m**3 - m - 11*m wrt m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138.89 - 139.09. Sort -0.8, h, 12\/7 in descending order.\nAnswer: 12\/7, h, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 385, 429, 473, 517?\n\"Answer: 44*v + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**8\/10080 + m**7\/420 - m**5\/5 + 25*m**2. Let i(s) be the third derivative of x(s). Determine t, given that i(t) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -9*l + 45. Solve l*j - m + 25 = 0, 4*m - 35 + 10 = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 902, 913, 932, 959, 994, 1037, 1088?\n\"Answer: 4*o**2 - o + 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-64))\/((-4005)\/712)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42075 + 42068 - 2232*c - 998*c to v*c + d and give v.\nAnswer: -3230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10184335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -0.4, 6.108, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 5, -3, -1, 0, 2 in ascending order.\nAnswer: -3, -1, 0, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20321438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*p - s, 5*p - p = -4*s - 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-36))\/((-3243)\/(-1269)))\/(-10*(-7)\/280)?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.93 - 62.27. Let l = d + 64. Let u = l - 4.8. What is the second smallest value in 0.5, 4, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/208 and 63\/5.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -752, -3012, -6778, -12050?\nAnswer: -18828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*v - 2*m - 4, 2*v + 2 = 4*m. Let o be v*(-1 + 3\/(-3)). Solve -4*c**2 - c - c**2 + 4*c**o = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.84449 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**8\/336 - y**4\/6 - 16*y**2. Find the second derivative of l(w) wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 30)*((-9)\/6)\/(-3). Solve -l + 19 = d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 3*f**4\/2 + f**3\/2 - f**2 - 23*f. Let v be i(1). What is the greatest common divisor of 19 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 + 2305*p**2 - 150 + 497 - 196 - 194*p**2.\nAnswer: 2111*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 169 + 85?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -443\/3 + 165. Do a and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/4 + 27*f\/4 + 55\/2 = 0 for f.\nAnswer: -22, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1728 and 9729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.6 - -42.4. What is the closest to w in 4, -5, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 4 = -10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - 1\/((-2)\/116)*210\/(-532). Is s at least -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(10\/(-15))*132\/9. Suppose 0 = 8*u - x*u - 14. Let m be (-3)\/3 - (u - 0) - -2. Solve 3*o - m = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7 + 3 + 1 + 2. Let d(i) = -5 + 5 - 2640655*i + 2640651*i. Determine a(m) - d(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) -2\/4729 (c) 1 (d) 2 (e) -0.5 (f) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**5\/20 - 11*h**4\/12 + 7*h**3\/3 + 3*h**2 - 2*h + 21. Let d(m) be the first derivative of u(m). Is d(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -40.981. What is d rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000169553178 to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 - 85\/2*u + 251\/2*u**2 + 93\/2*u**3.\nAnswer: (u + 3)*(3*u - 1)*(31*u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -2. Suppose -215 = 4*d - 59. Let x = d - -46. Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 18*t**2 - 2*t + 7281. Let w(j) = 64*j**2 - 2. Determine f(w(c)).\nAnswer: 2304*c**2 - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017804931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 130312, 260583, 390854?\n\"Answer: 130271*p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/11 (b) 19315 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1841 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/21565 and 86\/285?\nAnswer: 64695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/880635 and 4\/125.\nAnswer: 22015875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -563 + 567. Is -5 - (7 + -7) - (-2483 - w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 3*x - 3. Let w = 5 + -10. Let y(z) = -z**2 + 5*z + 5. What is w*q(f) - 3*y(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 69. Suppose 4*x + 2 + 70 = 5*i, -5*x + 21 = 3*i. What is the remainder when q is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7389*a - 4*w + 7 = 7387*a + 2*w + 19, 0 = 3*a - 2*w - 18 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b + 23. Calculate q(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -1\/6, 2\/5, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*x**3 + 958*q**2*x**2 - q**2 - 3*q - 472 with respect to x.\nAnswer: -3*q**2*x**2 + 1916*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44824000 rounded to the nearest 100000?\nAnswer: -44800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.11354 decades?\nAnswer: 41.1354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 1.59. Let a = n + -0.1942. Round a to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -70. Suppose o + s*o = 96. Solve i + 1 + o = -5*m, -m = -2*i + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5 = -3*w, -12*w + 13*w + 6 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 2. What is the greatest common factor of o and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2168.4 - -2167. Which is the nearest to 0? (a) -2 (b) v (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2897*s**4 - s**3 + 37*s - 11759016.\nAnswer: 11588*s**3 - 3*s**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = k - 114 + 40, 4*q - 144 = -2*k. Suppose -9*r - 53 = -2*o - 4*r, -2*o = 4*r - 8. What is the greatest common divisor of o and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 6*t - 10. Let n be x(9). Suppose -5*a + 717 - n = 0. Let m = a + -256\/3. Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + b - c - 5, -2*c - 7 = -b. Suppose -4*m - 2*i + 9 + 17 = 0, -b*m = -i - 7. Suppose 0 = y - m*y + 27. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuqpupqypggggoqqy. What is prob of sequence pgog?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = -2. Let u be i\/10 - (-130)\/25. Solve 0 = -5*b + 3*x + 12, 0 = -2*b - b + u*x + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 100*k**5 + 26680*k**4 - 459804*k**3 - 380624*k**2 - 76976*k = 0.\nAnswer: -283, -2\/5, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, h: 13}. Give prob of sequence vvv.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*h = 3, 4 = -5*k + 5*h + 19. Solve -2*l + 10 = -k*f, -11 = -2*l - 3*l + 4*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 324614 - -5?\nAnswer: 324622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 2*d + 10. Is 5 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 9*u**2 + 8*u + 6. Give j(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 8. Suppose 5*x - 22 - 28 = 0. Let z be o(x). Let -1\/3 + 2\/3*h - 1\/3*h**z = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 - 18*a**3 + 96*a.\nAnswer: -3*a*(a - 2)*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 21 = -n. Let r be 144\/(-128)*(-248)\/(-6). Let d = r - n. Put 0.5, d, -0.6 in descending order.\nAnswer: 0.5, d, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*l**3*o**3 + 16848*l**3*o + 3*l*o**3 + 10006*l*o**2 wrt l?\nAnswer: 72*l*o**3 + 101088*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000134 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5)*(5*d**3 - 4*d**3 + d**3)*(-46 + 46 - 2*d).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 344534 divided by -72\nAnswer: -172267\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -f - 0*f + 5*q, 0 = 2*f + 2*q + 30. Suppose 13*r - 56 = 17*r. Let c be f\/(-15) + r\/(-6). Solve -l - 4*l + 20 = c*s, 2*s - 14 = -4*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129363 divided by 13?\nAnswer: 9951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 bigger than 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + -43 + 50.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -286245, -572452, -858627, -1144770, -1430881, -1716960, -2003007?\n\"Answer: 16*g**2 - 286255*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 108, 106, 104, 102, 100, 98?\n\"Answer: -2*w + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 30. Suppose 30362*f - 30389*f = 0. Solve h*a - 10*a = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179542831 divided by 13?\nAnswer: -13810987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7067502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 1. Let i(w) = w**3 - 2*w**2 - 4*w + 4. Let q be i(3). Let k be a(q). Solve -7*r + 15 = -k*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**2*u**3 - 2*j**2*u + 377*j**2 + 3*j*u**3 + 947*j*u**2 + 2*u**3 + u**2 wrt j?\nAnswer: 8*u**3 - 4*u + 754","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Suppose -5*x + 4*o = 2*o - 16, 3*x - o = 10. Suppose -x*q = 5*j - 2199, -3*j = 5*q - 1535 - 1204. Suppose 10*y - q - 334 = 0. 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: Solve -113*m + 12504 = 11939 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/19 and -59\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21597268 - 22.75.\nAnswer: -21597290.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 41, 34, 25, 14, 1, -14?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2498*f - 1150745 = 7335*f + 8946*f - 193016 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/12 - 5*v**3\/2 - 15*v**2\/2 - 8*v. Let k be j(-13). What is the greatest common divisor of k and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 1\/4*p**4 - 3\/2*p**2 + 7 - p + 2\/3*p**3. Give o(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -1\/21*a**4 + 0*a**2 + 2 + 0*a + a**3 - 1\/1260*a**6 + 1\/105*a**5. Let s(q) be the third derivative of t(q). Factor s(n).\nAnswer: -2*(n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, e: 1, s: 2}. What is prob of sequence sp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2673 is divided by 645.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310400 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4500712, -9001427, -13502144, -18002863, -22503584, -27004307, -31505032?\nAnswer: -36005759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 3\/4*(-3 - 25\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 - 5 + 81 + 6 + 2*x**2 - x + 869*x**3 as z*x**2 + i + j*x**3 + c*x and give j.\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:44 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -35, -76, -131, -200?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7666113 years?\nAnswer: 0.007666113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 66067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 55 = -8. Let u(s) = -t - 2*s + 0*s - s + 2*s. Give u(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15228948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47970*v - 50951*v + 13330*v.\nAnswer: -85591*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*k = -93*k - 684. Suppose -137 = -4*v - o, 0*o = -3*v + 3*o + k. Calculate the greatest common factor of v and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 4 (c) 0.348 (d) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 9*f**2 + 9*f + 10. Let q be j(-8). Let s(t) = t - 4*t**3 + q*t**3 + 7 + t**3 - 6*t**2. Let m be s(-6). Are m and 1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 44. Let n be ((-6)\/k)\/((-27)\/24). Which is the second biggest value? (a) -4 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = -1. Let x be (-3 - 9\/(-1)) + i. What is the common denominator of ((-412)\/40 - 1) + x and -73\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 2*j - 2*c, 26*j + 179 = 29*j + c. Calculate the remainder when j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(240\/368)*-3*(-2)\/(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:54 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 5. Let w be k(-5). Suppose 5*a - 3*a + 2 = w*y, 28 = 5*a + 4*y. Suppose -5*f = -a*x - 8 - 0, -5*x + 5*f = 5. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102760*a**2 + 7*a**3 + 102760*a**2.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 15 (b) 3\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/8, -0.2, 0.5, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k + 2537 - 1936 - 602.\nAnswer: -22*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*v = -5084 - 3258. Solve v*n = -32 - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20789, 20681, 20499, 20243?\n\"Answer: -37*f**2 + 3*f + 20823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-2700)\/(-1 + 6). Is 6\/(-4)*w\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*h**5 + 0*h - 20\/3*h**3 + 0*h**2 + 0 - 8\/9*h**4.\nAnswer: 4*h**3*(h - 5)*(h + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Let k be ((-1)\/(-1))\/(n\/6). Suppose -k*s + 0*s + 42 = 0. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1603*l - 5*l**2 + 1603*l. Let o(q) = -2*q**2 - 5. Give n(o(y)).\nAnswer: -20*y**4 - 100*y**2 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 7:31 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-7))\/((-93)\/31)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 6*q**2 - 6*q**2)*(13*q**2 - 19*q**2 + 7*q**2 + 2*q + 31).\nAnswer: -2*q**5 - 4*q**4 - 62*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12238 is divided by 86.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + -98. Let v be (43\/2)\/1 + b\/(-12). Suppose -v*k + 11170 = -11*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - b + 17. Determine x(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(220)\/sqrt(5)) + 1 + -5 + -5*(sqrt(425) - (sqrt(425) + sqrt(425)*2 - sqrt(425))**2).\nAnswer: -49*sqrt(17)\/2 + 8496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 - 4*b**2 - 3*b**2 + 0*b**2 - 4*b**2 + 5*b**2 + (2*b - b - 2*b)*(3*b + 2*b - 7*b))*(-3*b + 2*b - 4*b) as f*b + h*b**3 + g + r*b**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1222 + 1186. Suppose i - 5*t = 23 - 5, -3*i - 5*t = 6. Let x be i - 0 - q\/(-10). Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + -15 + 128 + -47?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92609\/10 + -9253. Find the common denominator of v and 107\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 953, 35, -5, 5 in ascending order.\nAnswer: -5, 5, 35, 953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42969252 is divided by 2261539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 995*(-8)\/(-20) - (-4 - 5). Calculate the highest common divisor of 143 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 25*c + 23*c - 427 = 0, 146 = y + 3*c. Solve 139 = -2*j + y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 1, a: 2}. What is prob of picking 2 k and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 111*u - 1026. Let h be l(-19). Solve h*c + 0 + 2\/11*c**5 + 0*c**2 + 24\/11*c**3 + 16\/11*c**4 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -108*u + 7729. Determine p(74).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 513\/33*(-105952)\/28896?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/11 - 1\/22. Which is the second biggest value? (a) -1 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1543 is divided by 277?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42628, -85164, -127698, -170230, -212760, -255288, -297814?\n\"Answer: z**2 - 42539*z - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + 1*sqrt(216))\/(sqrt(18)\/sqrt(24)))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 6358 - 6346. Suppose 0 = 4*y + 4*m - 44, 5*m = -w*y - 0*m + 25. Factor -6*t**2 - 2\/3*t**3 - 14\/3 - y*t.\nAnswer: -2*(t + 1)**2*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -11 - 6)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11351 - -11356. Solve k + t = 4*t - 1, f*k - 3*t = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14861796 and 48.\nAnswer: 59447184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12717 and 2727?\nAnswer: 1284417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**2 + 246*l - 296. Calculate k(23).\nAnswer: 2188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v - 3*z, -3*v = -8*v - 5*z + 10. Let n = -204 + 208. Solve 0 = v*m - n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -68. Let i be (-17)\/(-7) - v\/(-119). Which is the nearest to 1? (a) 2\/3 (b) 2\/23 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s + 4. Suppose 0 = x - 5*x - 12. Let p = 8 + x. Suppose -18 - 7 = -p*j. Let i(u) = -4*u + 2. What is j*i(z) - 3*g(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b - 268. Let g be p(-34). Let a = -113.5 + 113. What is the smallest value in 5, a, g, 7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -281511, -2251921, -7600127, -18015027, -35185519?\n\"Answer: -281483*j**3 - 29*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(16\/(-1))*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71693603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033901082 to 7 dps.\nAnswer: 0.0000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*n + 3*n. Let o be n\/(-15)*0*-1. Suppose 4*g - 219 - 93 = o. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = 2*g - 107 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 136571800*t - 242986649 wrt t.\nAnswer: 136571800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/410 and 79\/6240.\nAnswer: 255840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -2*r + 14*f + 1715, 0 = 3*f + 21. What is the remainder when 855 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 7*n**3\/6 + 420*n. Let d(t) = -14*t. Give -5*a(w) - 2*d(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1439 * 3.\nAnswer: 4317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18180108 and 20591?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 1170 = -8*g. Let j be g\/9 - (-1)\/3. Suppose 2*a = 3*a + 3*f + 14, -5*a = -f + j. Put 2, a, 1 in decreasing order.\nAnswer: 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4418789 divided by -4?\nAnswer: 4418789\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/9 (b) -4.9 (c) 22680\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54*f*m**3 + 199*f*m**2*s**3 - 1505*m**3 - 10*m**2*s**3 wrt f.\nAnswer: -54*m**3 + 199*m**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -444*v**2 + 79*v - 13. Let g be u(-7). Let q = -11293 - g. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-18.6.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = a + 5*w, 4*w = -1837*a + 1838*a + 9. Let i be (9\/3)\/((-6)\/(-4)). Solve i*r + 10 = 2*x, -a - 2 = r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 347a6 (base 11) to base 4\nAnswer: 30100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139273713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27561589 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1013700 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*t - 219 = 263, -4*l - 3*t + 391 = 0. Suppose 0 = 25*z - 247 + l. Solve -4*r = -z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349660?\nAnswer: 2, 5, 13, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/7 - 26*w**3 - 972*w**2\/7 + 1152*w\/7.\nAnswer: 2*w*(w - 96)*(w - 1)*(w + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let z = -0.4 + -0.1. Let x = -0.7 - z. Are x and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767 times 0.2?\nAnswer: 353.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3 + 3*w**2\/2 - 14. Suppose h(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1184, 4825, 10874, 19331?\n\"Answer: 1204*b**2 + 29*b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o**2 + 8 + 4*o - 2 + 9 - 9*o**2 - 12. Give x(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*y + 4, f + 0*f + 3*y = -8. Find h, given that -4*h**2 + 9*h**2 + 10*h + 30*h**f - 35*h**3 - 6*h**2 - 4*h**2 = 0.\nAnswer: -1\/2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 u when three letters picked without replacement from {g: 1, r: 4, c: 1, u: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 10*f - 85. What is the remainder when 162 is divided by u(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26811*d + 26569*d - 13068 = 0 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - w + 4. Let q be a(4). Suppose 4*s + 0*s - q = 0. Calculate the greatest common divisor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -22*i. Let u(j) = 8*j**2 - 12. Let o(s) = 15*s**2 - 22. Let h(p) = 10*p**2 - 2*p - 1. Let k be h(-1). Let z(m) = k*u(m) - 6*o(m). Give f(z(v)).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-203)\/(-116)*(-18)\/63\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5306 = -2*u - 5290 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-3))\/(128\/112*7\/6). Sort 1\/3, q, -5, 5\/4, -0.4.\nAnswer: -5, -0.4, 1\/3, 5\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 102981, 205620, 308259, 410898, 513537?\n\"Answer: 102639*z + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 1. Let k be g(-4). Let n(p) = -p**3 + 19*p**2 - 20*p + 39. Let o be n(18). Calculate the greatest common factor of k and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105155)\/(-189279)*(-1206)\/(-10)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/63670 and 25\/22.\nAnswer: 700370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 2, u: 1, e: 2, s: 1, l: 2}. What is prob of sequence su?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*r = -13, -2*m + 14 = -m - 4*r. Suppose 5*t = 4*o - 0*o + 166, 16 = -4*o. Let i be -2 + (t\/m)\/3. Solve i*u = -1 - 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - w + 0*w + 196 = 0, 0 = -w - 5. Let d = x - 47. What is the greatest common divisor of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.5103067 hours?\nAnswer: 1837.10412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22576*o - 46234*o + 22540*o to h*o + f and give h.\nAnswer: -1118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -1897?\nAnswer: -1898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 3, 1, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488.8 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 212*p + 0*p**4 + 94\/15*p**6 + 0*p**5 + 0*p**3 + 41\/2*p**2 + 0. What is the derivative of y(h) wrt h?\nAnswer: 752*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308222 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-1 + sqrt(110))\/sqrt(10) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/(-14) - (-2)\/(-7). Suppose 2*h - 15 = -3*h. Let a(f) = 0*f - 5*f - f**3 + f + 2 - h*f**2 + 6*f. Determine a(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m**4 - 3525*m**2 - 20*m + 2463.\nAnswer: 108*m**2 - 7050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 13*c**2 + c - 23. Suppose 0 = -29*s - 56*s + 299 + 806. What is y(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 7*b. Let v(x) = 2*x**2 + 51*x - 206. Let w be v(-29). Give h(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.02 + -6.4647. What is z rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/1)\/(-11*19\/(-8987)*(-817)\/(-19)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 4a?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 9*f**2 + 4*f + 8. Let i(x) = 32*x + 136. Let z be i(-4). What is l(z)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20212121 + 120?\nAnswer: -20212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26520.6, 0.4, -2, -5 in increasing order.\nAnswer: -5, -2, 0.4, 26520.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4201 - 4203. Which is the closest to -64\/11? (a) g (b) -1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**2 + 14*r + 2. Let v(d) be the third derivative of d**4\/24 - 82*d**2 + 12*d + 2. Determine f(v(h)).\nAnswer: 2*h + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169 and 12842310.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*z - 1 + 9, 0 = 2*z - 3*c + 10. List the prime factors of z\/3*-4*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/6, 46, 0.5, -17, -4\/3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172674497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3405 + -0.3405. Let j be 360\/(-92) - (-8)\/2. What is the biggest value in j, c, 0.11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54832518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - w - 35, -5*w = 3*c - w + 2. Let d = c - 4. Is 128\/d + (-1 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -676860\nAnswer: -61\/676860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 189\/495 + 3\/(-66)*4. Let t be 54\/12*(-4)\/(-6). Suppose t*v + v = 12. Which is the third biggest value? (a) j (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 839298, 1678604, 2517912, 3357228, 4196558, 5035908, 5875284, 6714692?\n\"Answer: x**3 - 5*x**2 + 839314*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((2\/(-2))\/(-1)). Let f(t) = -t. Let r be f(b). Solve r*q - 13 = -2*q - 3*w, 5*w = 3*q + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s = 552 + 213 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 + 2*r - 64. Let v(z) = 2*z. What is v(f(g))?\nAnswer: -6*g**2 + 4*g - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116139304 rounded to four dps?\nAnswer: -0.1161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 159 = 179. Suppose 3*u = -4*p - 2*u + 8, c*u - 4 = -2*p. Solve 2*l = -5*t - 1, -5*t = -2*t - p*l + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87444 divided by 21861.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = q - 15, 2*w - 3 = -q + w. Suppose q = -0*r + 3*r + 3, -4*j = -r - 81. Let d be (12\/(-10))\/(-1 - (-14)\/j). Which is smaller: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j - 19 + 19 + (0 + 0 + 2)*(-2*j + 2 - 2) - 4*j + 0*j + 6*j - 5*j + 2*j + 2*j + (-1 + 1 - j)*(-5 + 5 + 2).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 + 5*s**2 - 6*s + 2. Let d be z(2). Suppose -3*b = b - 168. Let t = b + d. Solve -26 = i + 3*n + 2*n, -t = 3*i + 5*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 251 or 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4, -s + 3*u + 154 + 107 = 0. Let y = -32 + s. Let l = y - 95. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -7*j**3\/6 - 72*j**2 + 55*j. What is the units digit of w(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280173481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 7) in base 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 - 6*h**2 + 6*h + 6. Let o(z) be the second derivative of 0 + 1\/2*z**2 - 1\/20*z**5 - 4*z - 1\/12*z**4 + 1\/6*z**3. Give m(l) - 6*o(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1272, 12, -11, 4, -2 in decreasing order.\nAnswer: 1272, 12, 4, 0.1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**3 + 16*l**2 + 14*l + 41. Let b(s) = 6*s**3 - 15*s**2 - 15*s - 40. Let o(j) = 6*b(j) + 5*c(j). Let y be o(12). Solve -y + 17 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**4\/32 + 13*j**3\/24 - 3*j**2 - 517. Suppose v(y) = 0. What is y?\nAnswer: -16, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247 - -247. Suppose 0*r + 3 = -3*r - 4*i, r + 17 = 4*i. What is the biggest value in c, -4, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 14*m - 6*m - 6*m = 0. Let b(q) be the third derivative of m*q - 13*q**2 - 2*q**3 + 0 + 2\/3*q**4 - 1\/15*q**5. Factor b(l).\nAnswer: -4*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12. Let y(w) = 11. Let m(u) = y(u) + z(u). Let b(k) = 6*k - 3*k + 9 - 4*k. Calculate 2*b(i) + 18*m(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*b**2 - 104*b**2 - 101*b**2 + 377*b**2 - 87*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -19. Suppose t*j - 22 - 26 = 0. Find the third derivative of -2*f**2 - 24*f - 7*f**5 - 9*f**2 + j*f wrt f.\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 35*i + 178. Let m be k(-5). Suppose -4*v - m*u = -0*u - 12, -3*u = 0. Put -3, v, 0.99 in descending order.\nAnswer: v, 0.99, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.71 - 32.2. Let r = -346021746 + 346021747.48999639. Let f = s + r. What is f rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 6 + 4 - 7 - 379*j as i + a*j and give a.\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 868.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 24*d**2 + 20*d - 21. Let k be f(-23). Let s(h) = -k + 36 + h**2 + 24. Let q = 1 - 1. Determine s(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.202427.\nAnswer: -0.102427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 213\/(-4)*(24\/12)\/(-12) and 97\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 22. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41341*p + 41339*p - 5 = -3*w, -4*p + 5*w - 7 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7437, -14895, -22353, -29811?\n\"Answer: -7458*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**4 + 10448*r**3 + 6*r**2 - 579 wrt r.\nAnswer: 24*r + 62688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 14*u - 13. What is z(-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/(5\/(-45)). Let x be f\/10 - -33*12\/15. What is the greatest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, v: 6, l: 2}. Give prob of sequence luvl.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 36\/5, -129, 9\/14?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1 (c) -1 (d) -0.00217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*x + 832 = 121*x - 5093 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 - 5*k - 4. Let t(v) = v. Let j(p) = -p. Let q(l) = j(l) + 2*t(l). Give -a(w) - 5*q(w).\nAnswer: 3*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 11*n**2 - 42*n - 604. Give q(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 12*v + 14. Let n be h(4). What is the nearest to 1\/2 in -2\/7, n, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 565\/(-15))*(-9)\/(-1). Suppose 5*t - 65 = w. Is 23 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -12 + (14 - 17).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 10. Let g(o) be the third derivative of -o**6\/24 + o**5\/60 + 4*o**3\/3 - 115*o**2. Let v(z) = 4*z**3 - z**2 - 7. What is s*v(k) + 6*g(k)?\nAnswer: -2*k**3 - k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3 - 4*o - 4 + 2*o - 4. Let a be y(-8). Let u(n) = 3*n + 11. List the prime factors of u(a).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/4 and 41\/25986542?\nAnswer: 51973084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3808253076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 200 + 105 + 62.\nAnswer: -n - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*d + 10871 = 0. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (44\/10)\/((-1)\/5). Suppose 1 = -5*i + 6*i, 0 = 4*x + i - 17. Is 314\/x - 11\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, a: 4, i: 1}. Give prob of sequence isa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2244\/(-1632))\/((-5)\/(-200))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356439677.\nAnswer: 3, 59, 7663501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38211 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/21 and 113\/162.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + t + (-5 + 0 + 2)*(0*t - 2*t + 3*t))*(0 - 1 + 2)*(-6 + 5 + 13)*(-t + 0*t + 3*t) - 29*t**2 - 307*t + 307*t.\nAnswer: -77*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62003, -123986, -185973, -247964?\n\"Answer: -2*n**2 - 61977*n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -k - 564, 4*n + 260 = 6*n + 5*k. Suppose -115*p + 87*p = -n. Solve -4*d - x - 24 = -p*x, 27 = -4*d + 5*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16016435 rounded to the nearest 1000?\nAnswer: 16016000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**3\/3 - 9*m**2\/2 + 5. Let l be r(-4). Solve l = 4*f, f - 20 = x - 2*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/4 + 1881*y**2\/4 - 883599*y\/4 - 885481\/4 = 0. What is y?\nAnswer: -1, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4\/3))\/(u*u*u**(-13))*(u**(2\/9))**(-14) assuming u is positive.\nAnswer: u**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 2\/9, -0.4, 0.04, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u*u**(-1\/4)*u*u*u)\/u*u)**(21\/2)*(u**(-2\/9)*u)**(8\/3) assuming u is positive.\nAnswer: u**(15757\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d - d + 22 + 4*d - 17*d - 23.\nAnswer: -28*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1938 = -28*s + 1798 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 35?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 7 in decreasing order.\nAnswer: 7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -648?\nAnswer: -583.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*z + 4 = 0, 7*s - 2*z = 5*s + 6. Solve 3*c - 7 = -13, 4*l - 5*c = -s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19)*1*-2 + sqrt(475) + -1*sqrt(475) + sqrt(19) - (-4*-2*sqrt(76))\/sqrt(4))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166465195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 783 and 29709630?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, z: 1, j: 2, i: 5}. Give prob of sequence iizn.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2078 is divided by 681.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20579 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(168)\/sqrt(3))\/(sqrt(28)*5*-3))**2.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 - 122*p + 663. Let o be l(16). What is the highest common divisor of 10621 and o?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**4 + 1751*t**2*u**3 + t*u**3 + 50249 wrt t.\nAnswer: -12*t**2 + 3502*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 239649531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(95) - sqrt(95)*-2)*1 - sqrt(95))*-6)\/(sqrt(15)\/sqrt(12) + 3*sqrt(45)).\nAnswer: -96*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 27*b**3 - 3*b**2 + 3*b + 76. Let r(s) = -s**3 - s**2 - 2. Let k(w) = 3*r(w) - x(w). Differentiate k(n) with respect to n.\nAnswer: -90*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 4.55?\nAnswer: 0.0455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -4*k - 16. Suppose 5*c - 6 = 2*c. Put k, c, -5 in increasing order.\nAnswer: -5, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/64 + (-42)\/(-16). Suppose 0 = -z - q*z + 304. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(11)) + 2 - (6*(-1 + sqrt(11))*-2)**2.\nAnswer: -1720 + 294*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**8\/112 + 19*r**7\/210 + 149*r**5\/12 - 36*r**2 - 2*r. Find the third derivative of g(t) wrt t.\nAnswer: 180*t**2 + 456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 - (9 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2273345 or -1?\nAnswer: 2\/2273345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -142\/3 or -48?\nAnswer: -142\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 1775\/45 - 20\/45\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -0.1 (c) -2 (d) -0.054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/6)\/(-4))\/((60\/20)\/(-27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2742749mm?\nAnswer: 274274.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 (base 8) in base 13?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3308, 13294, 29936, 53228, 83164?\nAnswer: 119738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 18. Let v = -1151\/6 - -385\/2. Let d = -16 - -16. Which is the nearest to d? (a) g (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -150*y**2 + 960 + 2*y**3 - 213*y + 26*y - 275*y - 350*y = 0?\nAnswer: -6, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 + 97*a**2 - 48*a + 20. What is d(48)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 1, p: 1, v: 1, w: 1}. Give prob of sequence pm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/3 + 2*u**2 - 8*u\/3 = 0. What is u?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (51\/(-85))\/((-2)\/(-30)). Calculate the common denominator of 73\/3 and (-122)\/231 - (l\/7 + 1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514789.\nAnswer: 11, 53, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11928324*i**3 + 373703*i?\nAnswer: -71569944*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 16*c + 852. Suppose 5*y - 20 = -5*u, -2*u + 8*y - 8 = 6*y. Is 17 a factor of b(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485715.83 rounded to the nearest ten thousand?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s**2 + 27*s + 12*s**2 + 3*s**2 in the form f*s + h*s**2 + r and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -3*c**4 - 1\/5*c**5 - 3 + 8*c - 22*c**2 + 14*c**3. Factor y(t).\nAnswer: -4*(t - 1)**2*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.4 - -4.25. Let c = -2.15111 - b. What is c rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**9*u**5*(u\/(u\/(u\/u**4)))**(-2\/79) assuming u is positive.\nAnswer: u**(-231\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 7:12 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19175 divided by -3835?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-68)\/28 - (-117)\/273. Sort -6, -61, y in increasing order.\nAnswer: -61, -6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25832391 is divided by 3090?\nAnswer: 3081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/4 - 23627*r**4\/4 + 17717*r**3 + 23624*r**2 = 0.\nAnswer: -1, 0, 4, 23624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.10900323 + 1.1740039. Let n = -155.3 - -155.235. Let u = s + n. What is u rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x + 112 = 0. Suppose 98*c + 125 = 103*c. What is the remainder when 14\/(64\/x - 2) is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 2*b**7\/63 + 4*b**6\/9 + 8*b**5\/3 + 80*b**4\/9 + 160*b**3\/9 + 64*b**2\/3 - 8*b. Suppose q(j) = 0. What is j?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 797*z - 10865. Calculate m(14).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5552?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 0, -2\/35, -1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -773713, -773706, -773699, -773692, -773685, -773678?\n\"Answer: 7*p - 773720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/12 (b) -0.16571934 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -329576 - -511519. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 2*k + 2*k)*(1 - 1 + 1) + 863*k - 260 + 515 - 255 in the form m*k + f and give m.\nAnswer: 865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3342640 by -940.\nAnswer: 3556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10*8\/(-16)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 - 53. Let a be ((-100)\/(-16) + 0)*u. Let v = a + -48. Solve 3*n = -v*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -880661 to the nearest ten thousand.\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a factor of 35353635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -5 (c) -3\/5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6182 + -3067?\nAnswer: -9239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyy. Give prob of picking 2 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.2, -2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 318.6371 and 0.432.\nAnswer: 319.0691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 62 = -3*i - 24, 55 = 4*i + f for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 26 + -14 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-8)\/(-5)*(-2 - -7). Let d be ((-6)\/(-5)*5)\/((-6)\/y). Solve 0 = -5*i, 4*x + 2*i + 3*i = -d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 61. Which is the closest to 0? (a) p (b) -3\/7 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 2*u + 8, -12*m + 5*u - 20 = -7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 9 = 15*u - 14*u, -23 = -5*u - 2*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in 5, 0.02, 0.01, -5, -1\/12?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45995 + -40049. Calculate the highest common factor of i and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-1) + -2 + -2. Suppose x - 6 = 2*v, -4*x + 3*v = -21 + 7. Suppose f + x = -d. Let c(w) = -3*w - 2. Let i(m) = 2*m + 1. Determine d*i(k) - 3*c(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*l + 388 = -50*l + 1052 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2, 5, -3, 22, -2, 4.\nAnswer: -20, -3, -2, 2, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4930 divided by 986.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.756174mm?\nAnswer: 2756.174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 7. Suppose -c + 9 = -5*x, 2*x + c = 4*c - 1. Let n be x*3\/(-2) - 3. What is the least common multiple of g(n) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-32)\/8))\/(48\/54).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mccmmcmmccmcccmc?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + 5*k**2 - k + 3. Let s(w) = w**3 - w**2 - 1. Calculate l(m) + 3*s(m).\nAnswer: m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 28080 = -10*s. List the prime factors of s.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Suppose 2*d = -2*d - 92. Let v = -20 - d. Put 2, v, i in descending order.\nAnswer: i, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 358*b - 1364*b + 17 - 17 - 473*b in the form n + o*b and give o.\nAnswer: -1479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 4883540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18601 - 0.81399. Which is the closest to l? (a) 2 (b) -2\/15 (c) -79 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 19. Let q be w(-9). Let o = q + -24. Solve 25 = o*p + p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298937\/27 + (-2 - 7 - (-83)\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1574 + -501. Calculate the greatest common divisor of 37 and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a factor of 1683681851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04454 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 296867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27586*12.67.\nAnswer: -3.4951462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/113265360 and -61\/3775512.\nAnswer: 113265360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 2. Let j be a(-4). Let f be (-3 - -2)\/(j\/(-6)). Suppose -4*y = f*u - 90, -u + y = -0*y - 23. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -1\/78, 1, -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 970*x**2 + 15425*x - 52250.\nAnswer: -5*(x - 10)*(x - 5)*(x + 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-216))\/(0 - 5\/10 - -1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4. Let b(h) = p + h + h**2 + 0. What is the units digit of b(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 1. Let w(x) = -2*x**3 - 4*x**2 - 10*x + 34. Let p(b) = 36*o(b) + 2*w(b). Factor p(l).\nAnswer: -4*(l - 2)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-12)\/(96\/(-8)))\/((-3)\/45)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16884)\/(-4824))\/((-7)\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 n when three letters picked without replacement from nnnnnnnxnxxnxx?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 - (-1 - 1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -489247390 and -489247390 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 2*y - 3\/2*y**2 + 0 - y**3 + 1\/12*y**4. Give o(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105844 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6094822855 divided by 5.\nAnswer: 1218964571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hunhhdhdulnldhvv. Give prob of picking 1 l, 1 v, and 2 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 0. Calculate the smallest common multiple of 24 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 93754954217\nAnswer: -93754954212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 6*v**2 + 4*v - 14. Let f be z(-4). Let i be (f\/2 + -2)\/(-5). Factor 0*m + i*m**5 + 0*m**2 + 2\/5*m**4 + 1\/5*m**3 + 0.\nAnswer: m**3*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 16) to base 7.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153368206*v**3 - 685*v**2 - 40*v + 133 wrt v?\nAnswer: -920209236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 0*r**3 - 3*r**3)*(r - r + 2*r**2) + 5*r**5 - 3*r**5 - 4*r**5 - 4*r**5 + r**5 + r**5 + (15*r**4 - r**4 - r**4)*(0*r + r - 3*r)*(-238 - 53 - 79).\nAnswer: 9614*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21109868 is divided by 230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxbxmbhcbuuhbuuhh. Give prob of sequence xhm.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 + 1839*z - 1836 = 0 for z.\nAnswer: 1, 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145*a**3*k**2 - 119*a**2 + a*k**2 wrt a?\nAnswer: -870*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 - (-14 + (27 - 8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 19 = 5*j, -c - 16 = 2*c + 5*j. Suppose -c*b + 3 = 12. What are the prime factors of (b\/((-15)\/(-95)))\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -550027, -2200093, -4950193, -8800327, -13750495, -19800697, -26950933?\nAnswer: -35201203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/(-21) - (34\/(-357))\/(2\/9). Let l = -1.7 - -2. What is the nearest to -1 in -0.4, n, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 7171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/3 + 437416*h\/3 = 0?\nAnswer: 0, 437416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 122036 (base 7) to base 9\nAnswer: 33552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-68)*(-1)\/2. Let a = -3 + 2.5. Sort q, 0.3, a in decreasing order.\nAnswer: 0.3, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -565146908 to the nearest one hundred thousand.\nAnswer: -565100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 568*m + 554*m = -70, 0 = 2*n + 6*m - 34 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -32*m**2 - 3*m - 3. Let u be y(2). Let w = 140 + u. Factor -2\/3*s**w + 0 + 0*s**2 + 0*s.\nAnswer: -2*s**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/2)\/((-8)\/6))\/(13072\/(-1376))\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93991 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 444310 (base 5) to base 6\nAnswer: 200044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -0*f + 7*f + 3*n + 166, 2*n + 58 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4359570, -17438301, -39236194, -69753249, -108989466, -156944845?\n\"Answer: -4359581*t**2 + 12*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose -4*c - 5*r - 13 = 0, 3*c - 4*r - 23 = m*c. Calculate the least common multiple of c and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247394741 to the power of 1\/2, to the nearest integer?\nAnswer: 35318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 330*l**2 + 93*l**2 + 260*l**2 - 2 in the form n*l + z*l**2 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)*s*s*s\/(s\/(s\/(s*s**(-3\/7)))))\/(s\/(s\/s**(6\/5)*s)*s*s*s*s*s*s**5*s) assuming s is positive.\nAnswer: s**(-317\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2880)\/(-1152))\/((-390)\/8).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10003048 is divided by 2476.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.1, -0.3, 107, 1, -1, -2\/645?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*38\/(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -430 + 430. Solve c = -4*d + 2*h, -3*h - 3 = -4*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3269 + 15.5\nAnswer: 3284.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 1 - (-70 + 53).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43430 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/678 and 131\/678.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 4*p**2 - 37 - 38.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16141769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46899 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-388)\/3)*3*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 679 (base 10) to base 5.\nAnswer: 10204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009350763 rounded to 5 decimal places?\nAnswer: 0.00935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 11259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d - 2108. Let o(r) = r**2. Determine x(o(y)).\nAnswer: -6*y**2 - 2108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.51 + 1.61. Is k less than or equal to 1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 12*o + 20. Let y be i(-4). Solve h = -y*h + 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o + 67. Determine z(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m - 229 + 232 = 199 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let v be m(3). Let k(c) = 16*c + 1. What is the remainder when k(v) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 65*l - 68*l - 17, -2*l - 6 = 2*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-756)\/40)*(648\/48 - 15)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3 = -3*p - 0, 5*n = -2*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11524, 46043, 103566, 184093, 287624?\nAnswer: 414159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 23*j**3 + 1088 + 124*j**2 + 349*j + 374*j + 13*j**3 - 38*j**3 + 77*j = 0.\nAnswer: -4, -2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -13 - 9 - (-19)\/5\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a gram in milligrams?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 - 110. Suppose m*w - 36 = 84*w. What is the greatest common divisor of 39 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3458 and -4?\nAnswer: -13832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154613\/11 - -14055. Let f = 2 + 1. Suppose -2*v = f*v. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1700 and -187\/323100?\nAnswer: 5492700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -136330 - -4?\nAnswer: -136323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 0, 35, 94, 177, 284?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p**3*x*y**2 + 9*p**3*x + 12*p**2*x*y + p**2*y + p*x*y + 6*x*y**2 - 2*y**2 wrt y?\nAnswer: -12*p**3*x + 12*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24395, -97568, -219521, -390254, -609767, -878060?\nAnswer: -1195133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19487*r**3 - 9965*r**2 + 9965*r**2.\nAnswer: -19487*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -192*g**3 - 6479088*g**2 - 55358988219*g - 11762336418174 = 0.\nAnswer: -134109\/8, -218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:18 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 4*w**2 + 5*w. Let u be o(5). Suppose u = 3*t - 188 - 4. Let i = t + -52. Which is the second biggest value? (a) -2\/9 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-557.4.\nAnswer: -2229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512891125917*l + 20*l**3 + 512891125917*l - 7*l**3.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let v = w + 2.5. Let t = -1\/21 + 68\/105. What is the smallest value in 4, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27338 = -6377*l - 38180 - 62022 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186297 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: Rearrange (3906 - 1363 - 1885)*(5*a + 2*a - 5*a) to s + t*a and give t.\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 10*p - 7 - 4*p + 18*p**2 - 3*p.\nAnswer: 18*p**2 - 3*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5605 and 9207780.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 218046488 and 748.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 - 6086785*t**2\/3 + 2028928*t\/3 = 0. Calculate t.\nAnswer: 0, 1\/3, 2028928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2279, 2277, 2275, 2273?\n\"Answer: -2*h + 2281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i. Let q be z(-1). Let d = 11 - q. Let j = 0 - -1. Solve -j - 15 = -d*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*z + 224, -4*l = -5*z + 377 - 80. Let b = -50 - l. What is the smallest common multiple of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 474 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322785280 to the nearest integer?\nAnswer: 17966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 12*q**2 - 189439 - 16*q + 189425 - q**3. Determine f(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 3.36376\nAnswer: 13.45504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 4, 1.4, -14\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2584 = 27*c + 721. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -142*q**2 + 96*q - 303. Calculate v(3).\nAnswer: -1293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6948.382206 to the nearest 10.\nAnswer: -6950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 36887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94.19 - 0.81. Let q = 104.4 + b. Let a = 9.4000118 - q. Round a to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2231, -4467, -6705, -8945, -11187?\nAnswer: -13431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvjjvrrvjrrrvvrjvvvg. Give prob of sequence jd.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.43 (c) 209 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 5*h**2 - 33*h + 52. What is n(0)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2996 - 2980. Calculate the smallest common multiple of 720 and a.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*m = -18, -4*s + s + 18 = 4*m. Let a(p) = -p**3 + 8*p**2 - 8*p. Is 6 a factor of a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*u - 3718 - 2422 = -978 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -54*k - 1. Suppose 4*o + 30 = 3*i, -7*i = -3*i + 4*o - 12. Suppose 9*p + i = 249. Calculate the remainder when r(-1) is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10d2a (base 14) to base 6\nAnswer: -513454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 13*k**3 - 10*k**3 + 25*k**3 - 37*k**3.\nAnswer: -35*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1280, -1292, -1320, -1370, -1448, -1560, -1712?\nAnswer: -1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103214 (base 8) in base 14?\nAnswer: c7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 980819\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*p - 26, -3*p = 4*b - 232 + 222 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21819, -31002, -40185?\nAnswer: -49368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 2, m: 2, z: 1}. What is prob of picking 1 h, 2 m, and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**3)\/s*s*(s\/(s\/s**6))\/s)**47 assuming s is positive.\nAnswer: s**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 19.9, -38, 12, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 divided by -11?\nAnswer: 303\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) -700 (c) -0.3 (d) -173 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 plus -230159?\nAnswer: -230160.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -937*q + 4079. Does 5 divide u(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 3*j - 383 = 4*u, 2*u - 2*j - 150 = 0. Solve -u*n = -49*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 4*x**2 - x**2 + x**3 - 2 + 4. Let a be c(-2). Suppose 16*v - 15*v + 2 = o, -4*v = 5*o - 10. Solve -n - a = o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*h = -274*h - 18189 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: -3 - -19648\nAnswer: 19645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 15*m**2 + 16*m - 20. Let y be w(14). Suppose 0 = 2*u - h - 5, -5*u + 12 = -2*h - h. Solve 0 = -u*b + y*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = -f, -5*f + 2*f - 2*b + 2 = 0. Factor -8\/5*v - 2\/5 - f*v**2 - 4\/5*v**3.\nAnswer: -2*(v + 1)**2*(2*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -1\/2*n**2 + 3 - 4*n. Differentiate g(b) with respect to b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 417943?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + s**3 - 3*s**3)*(-1139*s + 1139*s + 306 + 2*s**2).\nAnswer: -4*s**5 - 612*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**5\/5 - 44*i**4 - 967*i**3\/3 + 2245. Find the third derivative of a(z) wrt z.\nAnswer: -24*z - 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*-17684.\nAnswer: -760412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -446*w**3 + 7*w**2 - 8*w + 8. Let l(g) = 297*g**3 - 5*g**2 + 5*g - 5. What is -5*j(x) - 8*l(x)?\nAnswer: -146*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**5 + 556*a**4 - 18264*a**3 - 87736*a**2 + 904540*a + 2964108 = 0.\nAnswer: -7, -3, 7, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250 by -5.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -77*v**3 + 20*v**2 - 40*v - 638. List the prime factors of y(-9).\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*z + 18 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-96))\/(((-3)\/(-30))\/1)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -49. What is the fourth smallest value in -0.4, b, -1, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 7*l**5 + 6166*l - 6166*l + (-l**2 + 2 - 2)*(-4*l - l**3 + 4*l).\nAnswer: -6*l**5 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*z + 2*z + z)*(0 - 2 + 3) + 4*z - 3*z - 3*z)*(0 + 0 + 1 - 6 + 4 - 4 + (-5 + 2 + 2)*(2 + 1 - 1) - 3 + 5 - 3).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -299 - -303. Let d = 4.97 - -0.03. Sort -1, z, d in decreasing order.\nAnswer: d, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(324)*1 - sqrt(324)) + sqrt(324)))\/(-5*((sqrt(147) - (sqrt(147)*-1 + sqrt(147))) + sqrt(147)))*-1.\nAnswer: -12*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**3 - 4*s**2 + 76*s. Let o(b) = -5*b**3 - 4*b**2 + 78*b. Let f(h) = 4*c(h) - 3*o(h). Find the second derivative of f(n) wrt n.\nAnswer: -30*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.3*79.\nAnswer: -1050.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20620 and 1020?\nAnswer: 1051620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + u + 15 = -2*x, -10 = -3*x - 5*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 16*b**2 - 2*b + 40. Let l be t(16). What is f in l*f**5 - 8*f - 4*f**2 - 28*f**3 + 0*f**4 - 4*f**4 + 4*f + 24*f + 8 = 0?\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3075 by 15.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.793 rounded to one decimal place?\nAnswer: -123.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841040 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**3 + 5*b**4 - 3*b**3 - 2*b**2 - 6*b**4 - 6 - b**4 as r*b**4 + t*b**2 + v*b + q + f*b**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d**4 - 5*d**2 + 4*d**4 + d**4 wrt d?\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/15)*s**(-1\/4)\/s)**(-9\/8))**(-14) assuming s is positive.\nAnswer: s**(-1743\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + b + 2*b + (2*b + b - 2*b)*(5 + 1 + 3).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by -13 + 7 + 8 - -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*n**2\/13 + 4918414*n\/13 + 281052\/13.\nAnswer: 2*(n + 70263)*(35*n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gag when three letters picked without replacement from gaaaawbaggaagbu?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -29, -35, -43, -53, -65?\n\"Answer: -o**2 - o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rppp when four letters picked without replacement from prrrrrrpp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4485, -17948, -40387, -71802, -112193, -161560, -219903?\nAnswer: -287222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 + -54190?\nAnswer: -52912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30431424 divided by 6\nAnswer: 5071904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**3 - 5*l + 8 + 5*l**3 - 66 wrt l.\nAnswer: 9*l**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2924559 + 2924559 + 618*s. Let v(x) = -x**2. Calculate d(v(k)).\nAnswer: -618*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 2*-2 - 2. Let u = -3 - d. Suppose 3*i = -u*z + 14, -2*z + 3 + 15 = 5*i. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 + 21 - 21)*(1 - 1 + c) + 2 - 5639*c**2 - 4229*c**3 + 5639*c**2 - 4 + 2 to the form b*c + y*c**2 + f*c**3 + i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*b**3 + 41240*b**2 + 52975*b + 11770.\nAnswer: 5*(b + 1)*(b + 1177)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3698947, 14795795, 33290543, 59183191, 92473739?\n\"Answer: 3698950*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -119642\/8427 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -5, -0.5812363.\nAnswer: -5, -0.5812363, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewehexhhexh. What is prob of picking 2 e and 1 w?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -31. What is the nearest to 0.1 in 1\/3, p, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 134*k - 1632.\nAnswer: -2*(k + 16)*(k + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w + 24*w + 192 - 48 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**3 + 5*g**2 - 2*g - 1. Let d(n) = 3*n**3 - 4*n**2 + 2*n + 1. Calculate -5*d(z) - 4*p(z).\nAnswer: z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/205 - (-8064)\/574. Solve 10*m + w = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 4*v + 4. Let l(a) = 2*a**2 + 3*a + 3. Let q = 57 - 53. What is q*l(f) - 3*u(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*w + 2*h + h, 1 = 2*w + 3*h. Let n = 6 + w. Suppose -6*c + n*c = -12. Calculate the highest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-20)\/(-8)) - -55. Suppose -u - 3*f + 58 = 7, u + 2*f - w = 0. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 16*k - 20490. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/4 - 2*d**3 - 2*d**2 - 3*d - 2. Let g = -7 + 9. Suppose -5*n + 10 = -0*p - 3*p, 0 = 2*p - g*n + 8. Calculate j(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -833 - -1666. Find the second derivative of -3*n**2 - 5*n**2 + 899*n + n**3 - 1539*n + t*n + 0*n**2 wrt n.\nAnswer: 6*n - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.2 - 1.2. Let q = 0.2 - 0.2. Let z = r + q. What is the third smallest value in -0.4, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-38)\/(-34) + 2 + -3. Do -1 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5635135196 to the power of 1\/2, to the nearest integer?\nAnswer: 75068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73*z**3 + 174*z + 150525 with respect to z.\nAnswer: 219*z**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -265 or -278?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:52 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + y, 3*a - 1824*y = -1823*y + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/55)\/((-22)\/(-10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 24*h**2 - 88*h - 359. Let f be c(18). Which is smaller: 69\/50 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = 0. Let o be 0 + x - 2\/(-1). Suppose o*n - 8 = 2*d, n = -2*d - 0*n - 5. Sort d, -0.1, -5 in ascending order.\nAnswer: -5, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -95.5?\nAnswer: 9.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**2 + f**2 + 0*f**2)*(-3*f - 3*f + 14*f)*(-4*f + 4*f - 2*f) as r*f + d*f**3 + x + b*f**4 + k*f**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/73870 and -63\/2225.\nAnswer: 369350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (4\/(-7) - 125\/(-35)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15025399 + -7264970. Let a = -16353291 - -1492862. Let n = p + a. Round n to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*(-148810)\/(-1941) - 6.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1344, 2844, 4346, 5850, 7356?\n\"Answer: l**2 + 1497*l - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2358526 is divided by 166?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -5 - (0 - (-7)\/(-1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.98. Let l = k - 0.02. Let x = 2 + -1.98. What is the biggest value in l, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 - 4*t + 4. Calculate j(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50832223 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64943*q - 41702 wrt q?\nAnswer: 64943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 368\/5 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/13, 1\/3, -2\/3, -74795?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/13? (a) 2\/5 (b) -2\/3 (c) 1 (d) 0 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14236998.6 rounded to the nearest 100000?\nAnswer: -14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7098426988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5103 (base 8) to base 10.\nAnswer: 2627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 39. Let v be 6 + 2 + -4 + a. What is the highest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.224 (b) 1\/2 (c) -1083\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -19*p + 2*b - 5*b - 82, 0 = -4*p + 8*b + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(29\/(-87)*(-3)\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7233 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 + 241. Let l = a + -78. Put -0.5, 0.2, l in decreasing order.\nAnswer: 0.2, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 11*d - 32. Let n be u(-6). Let p(c) = c**3 + c**2 - 2*c - 2. What is p(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 22. Let j be g(-14). Solve -4*c + j*c = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.009 + -5.009. Let k = -0.6 - -0.4. Let d = -0.05 + 2.05. What is the nearest to -0.1 in p, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82.76 smaller than -274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 18 (b) -30 (c) -2\/479\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -57.385. Let o = 9.065 + m. Let u = 0.1 + o. Round u to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12632 is divided by 976?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001055065999 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*l**4 + 289*l**3*y**2 + 18*l*y + 13*y**2 - 3628 wrt l?\nAnswer: 12*l**3 + 867*l**2*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2798*j - 2815*j + 8403*j - 2802*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1910 and -143\/5853030.\nAnswer: 1117928730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*b - 26749 = -7789. Suppose -5*v + 547 - 122 = -5*a, 2*a + 334 = 4*v. Suppose -v = 13*j - b. Calculate the lowest common multiple of 6 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1717 + 3133. Let c = q + -35. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - 13*r**3 + 118.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 100000111 (base 2) to base 10\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 57 = 42. Suppose 2*l - w = -1. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223111 - 3?\nAnswer: -223120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 3*c**2 + c + 12. Give r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2195382 divided by 3507.\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-12)*3\/2. Let a(m) be the second derivative of -m**5\/20 - m**3\/6 + 3*m. Determine a(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s**2 - 11981*s + 166785. Calculate v(-1345).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*n + 5*k, n + k + k - 4 = 0. Let o be (n\/(-4))\/(1\/(-8)). What is the highest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 57.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 5) in base 14?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1586466 divided by -4\nAnswer: 793233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*z - 48, 5*r + 4*z - 52 = r. Solve -r*w = 5*i - 61, 24 = 4*i + 2*w - w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Solve -2*h - 4*n + n + 16 = 0, n - 2 = c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r = -x - 44, 4*r = 5*x - 84. Let j be (-1 - (-68)\/(-12))\/(r\/24). Solve -5*b = 5 + j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1244.1 - -1235.1. Are -27 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40263703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/8 of a meter?\nAnswer: 4125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h**2 - 2*h - 1. Let a be q(-1). Let l = a - -6. Suppose -2*j - 2*j + 4*y + 16 = l, -j = -4*y - 7. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*f = -618. Calculate the remainder when f is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11618, -23188, -34730, -46244?\n\"Answer: 14*m**2 - 11612*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((13 - 1) + -23 + 41)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 divided by -87?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/6 + 933*a**4\/2 - 2797*a**3\/6 - 933*a**2\/2 + 1399*a\/3 = 0. What is a?\nAnswer: -1, 0, 1, 2798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*w = -0*w - 2432, 5*d - 2446 = -3*w. Let u = 860 - d. List the prime factors of u.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -74 + 4 - -30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/((-2025)\/(-18)) - -6*(-16)\/108. What is the closest to -1\/4 in s, 1, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glvnbsngvbnsglbsl. Give prob of picking 1 l and 1 g.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -62. Solve -4 = -2*p + w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = f + 2*y + 2, -5*f + 42 = 4*y. Suppose -f = -5*x - 4*k + 7, 0 = x + 2*k - 1. Suppose -5*z - 1 + 6 = -5*u, -5 = 5*u + x*z. Is -1\/9 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6244bf - 0?\nAnswer: -6244bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2. Let f(n) = 2400*n. Calculate f(h(o)).\nAnswer: -7200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:22 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/23))**(-11\/5)\/(g**(1\/4)\/(g*g**(-1\/11)*g)) assuming g is positive.\nAnswer: g**(7427\/5060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 837, 1975, 3593, 5691, 8269, 11327?\nAnswer: 14865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*d + 3 + 22 - 55*d + 171*d in the form c*d + j and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s + 5. Let n be a(0). Suppose 17 + 18 = n*o. Calculate the least common multiple of 6 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + w = 14 - 0, 0 = 3*b + 4*w - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 4, 52 in increasing order.\nAnswer: -5, 2, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - z**2 - z + 1. Let y(k) = 5*k**3 + 8*k**2 + 2*k - 1. Let d(q) = -4*f(q) - y(q). Let x be 6\/(-5)*(-600)\/45. Let r = -20 + x. Give d(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -74 (b) 2 (c) -11\/3 (d) 0.4 (e) 1.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 32) + 1 + (-152 + 137 - (-5 - 16)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 18*l**2 + 33*l - 18.\nAnswer: 3*(l - 3)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - i + 1. Let u(n) = 10*n**2 + 15*n - 15. Determine -15*r(d) - u(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-90) + 1 + 0. Let p = 36 - 35. Does z = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109.6 in -0.3, 2, 18, 1, -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/24*(-2 + -2). Let q be (o\/(-20)*2)\/(10\/25). Which is the closest to 1? (a) 2 (b) q (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/2 - 10*(-4)\/(-90) and 75\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19581, 20033, 20485?\n\"Answer: 452*r + 19129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20241142243 - -10?\nAnswer: 20241142303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*w**6 - 4*w**5 - 123*w**2.\nAnswer: -5280*w**3 - 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**2 - 33*o + 238. What is j(8)?\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13310*k**6 - 6*k**5 + 2*k**3 - 766*k**2 - 92 wrt k?\nAnswer: 1597200*k**3 - 360*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = 3*q - 3*d, -3*q + d - 375 = 4*d. Let g = 16 - q. What are the prime factors of g?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from kaaaaaaaakkaaaaa?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -329652*g**3*r**3 + 2*g**3 + 22*g**2*r**3 + 5858*g**2*r - g*r**3 + r**2 wrt g.\nAnswer: -1977912*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19790, -19777, -19726, -19619, -19438?\nAnswer: -19165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 713701988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*h - 2087 = 1103 - 278 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 13*n + 17. Let i be z(-12). Suppose -5*o - i + 30 = 0. Calculate the lowest common multiple of 85 and o.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*5\/15*3. Let k = -461\/2717 - 3\/247. What is the third smallest value in k, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1341, -7269, -17747, -32775, -52353, -76481?\n\"Answer: -2275*p**2 + 897*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17273, -75703, -175287, -316019, -497893, -720903?\n\"Answer: y**3 - 20583*y**2 + 3312*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(5)*-1)**2 - sqrt(5)) - (sqrt(35)*-2)\/sqrt(7).\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n - 1131 = -123 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - 4*d**2 - 1 - 5*d**2 + 5 as b*d**2 + o*d + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(33)\/sqrt(3) + sqrt(11) + sqrt(22)\/sqrt(50) + (1*sqrt(11)*-5*4*-2)**2.\nAnswer: -4*sqrt(11)\/5 + 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 4*t**2 + 2*t + 1. Let f be d(-3). Suppose -5 = -f*l + 47. 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 nearest to -1240 in -0.5, 2\/19, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4283561 decades to millennia.\nAnswer: 0.004283561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69855 and 1215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y**3 + 2*y**2 + 2*y + 1. Let f be c(-1). Suppose -5*a = -35 - 25. Suppose a = 6*r - 3*r. Solve 0*j + 4*j - r*l - f = 0, -2*j - 4*l = 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918 a factor of 202185302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -100.7.\nAnswer: -604.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 6*j**2 + 5*j + 5. Let f = -8 - -11. Let r be 6\/(3*f\/9). Is n(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 5673900 = -2079900. What is a rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqk when three letters picked without replacement from {q: 3, d: 5, n: 2, k: 9}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -k + 16, 0 = 3*q + 3 + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5890 divided by -589?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**3 - 36915*l**2 + 68631480*l - 1826237340 = 0?\nAnswer: 27, 3678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61, 160, 259, 358?\n\"Answer: 99*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {p: 7, d: 2, a: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-5)\/16*4\/(-95)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 44 = -4*b, 4*b + 5*m + 3 - 2 = 0. Let q(j) = 6 - 3 - 1 + b - j. Give q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 36. What is the derivative of 16 - 3*h**2 - n*h**2 + 7 - 2*h**2 wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41535217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -26, -79, -186, -365, -634, -1011?\n\"Answer: -3*d**3 + 4*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*l + 35*l + 189 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974727407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 137*r - 6. Let x(w) = 2*w + 1. Determine h(u) + 5*x(u).\nAnswer: 147*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 2*n**2 - n + 6. Give q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1204 or -1206?\nAnswer: -1206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -566*g**5\/5 - 210*g - 309. What is the derivative of r(t) wrt t?\nAnswer: -2264*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - -10. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**7\/2520 + 7*g**6\/720 - g**5\/30 - g**4\/6 - 4*g**2. Let n(a) be the second derivative of k(a). Determine n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -93\/73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/2395?\nAnswer: 6\/2395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1, 95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 minutes after 6:41 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -614*f**2 + 5528*f - 67. Calculate x(9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 7*m - 6*m)*((0 + 0 + 3)*(3 + 1 + 0) - 4 - 6 + 4 - 4 + 0 + 2 + 0 + 1 + 1) as a*m + u and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240 at most as big as 21329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 292. Give b(95).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3314 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 21973678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 300, 459, 390, -75, -1104, -2865?\nAnswer: -5526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/20*36\/1. Suppose 3*r - 115 = -2*s, 3*s + g = -3*r + 195. Suppose 3*z - s = 61. What is z rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6618*d*p + 2261*d wrt p?\nAnswer: -6618*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 535571967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 56*a + 11. Let p(r) = -4*r - 61. Calculate the remainder when b(1) is divided by p(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**7\/1785 - 31*u**6\/340 - 368*u**5\/85 - 529*u**4\/51 + 69*u**2 - u. Find a, given that t(a) = 0.\nAnswer: -46, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -36. Suppose 3*h - 23 = a*y, 6*y - 3*y + 11 = -h. Let s = 3 + -6. Sort s, 3, h in descending order.\nAnswer: 3, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 3*q - 2 - 6, -7 = -q - 5*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-30090)\/(-2) + -6 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = 0, -4*n + 2*n - d + 7 = 0. Let m be (-1 + 1)\/n - 8. Let i be (-2)\/m*(-8)\/14. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**2. Let i(w) = 3194 - 6400 + 3193 + 2*w**2. Calculate i(r(f)).\nAnswer: 72*f**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohh. Give prob of picking 1 h and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -60987, -243919, -548799, -975627?\n\"Answer: -60974*h**2 - 10*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73381 and 897726.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 137620 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2049 + 69679\/34. Calculate the common denominator of z and -107\/22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 180\/((-2)\/((-152)\/6)). Let o = 11 + -6. Suppose a = o*a - n. What is a rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103925 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -514 - 17*v - 8*v**2 + 515 + 2*v**2 to h + n*v + u*v**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 8 = 4*p + 1, 3*p + 11 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2545*h**3 - 2036*h**2 - 2036*h + 4072. Let u(r) = -r**3 - r**2 - r + 2. Give s(c) - 2036*u(c).\nAnswer: -509*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15541145 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**2 + 12*r. Let w(b) = 15*b**2 + 23*b. Let d be w(-5). Let a(n) = 260 - d - n - n**2 + 0*n**2. Calculate -12*a(k) - x(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-14 - -8 - -33) + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1806\/5 - -359. Let y be ((-20)\/8 - -2)\/((-7)\/14). Is y greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70363715 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 37*d**4 - 6*d**3 - 26*d - 2. Let w(s) = 36*s**4 - 5*s**3 - 26*s - 2. Let c(t) = 5*i(t) - 6*w(t). What is the second derivative of c(u) wrt u?\nAnswer: -372*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1439, 1440, 1441, 1442?\n\"Answer: x + 1438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + p**2 + 2*p**2. Let h(l) = 260*l + 351*l - 606*l. Calculate d(h(a)).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 14*b**2 - 17*b - 16. Suppose -6*i - 15 = -11*i. Suppose 0 = -s - i*n - 18, 2*s + 2*n - 6 + 38 = 0. Let u be t(s). Solve -3*h - 5 = -u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-116)\/4)\/(-1). Let x = g + 40. Calculate the greatest common divisor of x and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 3281.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z + 30. Let j be a(-2). What is the greatest common divisor of j and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/14)\/o**(11\/6)*o\/(o\/(o\/(o**(2\/69)*o)))*o\/o**3 assuming o is positive.\nAnswer: o**(-1831\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(272) + -1 - sqrt(272)) + 4)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8560*h - 8564*h + 56 = -3*s, h + 318 = -20*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42469 is divided by 10575.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1081235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17293, 33542, 47425, 57760, 63365, 63058, 55657?\nAnswer: 39980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 11 = -5. Let s be (k - 30\/5) + 22. Suppose 0 = -t - 3*t + s. Solve -u + t = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5 + 2*n + 2 - n**3 + 2 - n**2. Suppose -o - 16 = -5*o. Suppose d - 2 = 2*w, 2 = -d + o*w + 8. Calculate i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 4:49 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 50149 = -84*s + 45496 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 2*q**2 - q - 5. Determine r(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 62 = 5*h, -p + 1 = -4*h - 9. Let x(s) = 19*s**3 - 5*s**2 + 0*s**2 - p*s**3. Let m be x(5). Solve 0 = -m*d + 3*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5642 and 364?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -7. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143290 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, 123, 315, 609, 1017, 1551?\n\"Answer: 2*n**3 + 33*n**2 - 11*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83418390 is divided by 149?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**3 + 214636*d**2 - 13291544*d - 27441664 = 0?\nAnswer: -2, 64, 53597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947027.\nAnswer: 947027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76)*-2)\/sqrt(2))\/sqrt(2).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 450216 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/(-2)*(-43)\/((-32250)\/(-1000))?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**3*q + 96670*k**3 + 3*k*q - 8705*q with respect to q.\nAnswer: -3*k**3 + 3*k - 8705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193 + 273. Let a(r) = -46*r - 100. Let s be a(-10). Calculate the greatest common divisor of y and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1820 and 37940.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-39))\/(27*(-280)\/39312)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103696226 and 7?\nAnswer: 725873582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1061770 by -2.\nAnswer: 530885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**5 - 36*o**2 - 14407*o - 6*o**3 + 14407*o + 8*o**4 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(209) + sqrt(209)*-2) - sqrt(209))*3)\/(sqrt(132)\/sqrt(3)*4).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -28. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4440625 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13189, -15157, -17129, -19105, -21085, -23069?\nAnswer: -25057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 2*h = 0. Suppose h = -3*z + 5*l + 56, 0*z + 5*z - 44 = -4*l. Calculate the smallest common multiple of z and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 242*v + 10*v**2 + 228*v.\nAnswer: 10*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10209295 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2390 and 9\/20.\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - 29*j**2 + 85*j + 158. Is p(43) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(-2*sqrt(136) - sqrt(136))*-5)\/(sqrt(72)\/sqrt(36)*-5))**2 + 5)*5.\nAnswer: 3085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 14 + 19 = 5*l, 0 = -3*l + 3 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017*-148182.\nAnswer: 2519.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162771722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -51?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1227, 2115, 2999, 3879?\n\"Answer: -2*f**2 + 894*f + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/12, -5, -8353797?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llvlvlvlvvvlllllll?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11. Suppose k*d = -d + 12. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -66*q + 70*q. What are the prime factors of q?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1.4. Let v = g - -1.3. Let u = v + 0.3. What is the nearest to -0.1 in 5, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ededdededdee. What is prob of sequence dde?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774 divided by -2?\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3259 + 1.31. Round f to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 - 77 = 5*i. Solve -4*k - 6 = 2*f, 2*f = -i*k - f - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 + 110190*w**4 + 220384*w**3 + 2*w**2 - 220383*w - 110192 = 0 for w.\nAnswer: -1, 1, 110192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4260, 17089, 38516, 68577, 107308, 154745, 210924, 275881?\nAnswer: 349652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**(3\/2))\/r)\/r*r\/r**(-1)*r*(r**3\/r)\/(r*r**(1\/3)) assuming r is positive.\nAnswer: r**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 5540.\nAnswer: -4, -2, 5540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68717?\nAnswer: 11, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1270885 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + 106*(-6 - -7) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from esusisiuesuus?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4*1\/(-288)*(114 - 164) - 2\/(-18)\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/13))**(-49))**22 assuming h is positive.\nAnswer: h**(-11858\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1055 + 193a1?\nAnswer: 1a446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c - 14*c + 92260 = 0. What are the prime factors of c?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*-1*-1)\/((sqrt(768) + sqrt(48))\/sqrt(8) + sqrt(6)))\/(1*sqrt(441)*5*1).\nAnswer: sqrt(5)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391725 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3717569*o*u**5 - 2*o*u**3 - 8*o*u + 478*o + u + 193 wrt u.\nAnswer: 74351380*o*u**3 - 12*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v - 40. Let p(w) = -8*w + 35. Determine -6*p(i) - 5*z(i).\nAnswer: 3*i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6100 divided by 1525.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4402.91 hours to minutes.\nAnswer: 264174.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {n: 1, b: 1, i: 1, a: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 divided by -97621.\nAnswer: -101\/97621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 4 - (5\/(-5) + 5). Are -76 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1730476\/35 or -2\/3?\nAnswer: 1730476\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (285\/1)\/(8\/24)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - v)*(-33 - 55 - 44*v + 42*v) to o*v + l + a*v**2 and give o.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.033904 + 1137541.\nAnswer: 1137541.033904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5 - 485*u**4 + 990*u**3 - 10*u**2 - 985*u + 495.\nAnswer: -5*(u - 1)**3*(u + 1)*(u + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(-350))\/(7 - 679\/98).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2.89 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -123 - 1*(0 - 2). Let x = t + 254. Suppose 2*g = 3*d + x, 5*g = -0*g - 3*d + 301. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4 = 2*q, -4*b - 24 = 33*q + 14 + 28 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*w + 58*w**3 + 16*w**6 - 18*w**2 - 3*w**6 + 58*w**3 - 115*w**3 - 4*w wrt w.\nAnswer: 1560*w**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/11)\/j)\/(j\/j**(-1\/5))*(j**1)**45)\/(j**(-3\/5)*j*j*j**(-4\/3)*j)**(-1\/3) assuming j is positive.\nAnswer: j**(21452\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -63501 (b) -4 (c) -11 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876 is divided by 124?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 4788*z**3 - 160182*z**2 - 1769988*z - 6504597.\nAnswer: 3*(z - 1629)*(z + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (162\/(-108))\/((-2)\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 135 - 165. Let t = h - -25. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 233.35 (b) -0.1 (c) -5 (d) -1\/5 (e) 0 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28101376, 28101378, 28101380, 28101382, 28101384?\n\"Answer: 2*n + 28101374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2326, -2305, -2278, -2251, -2230, -2221, -2230, -2263?\nAnswer: -2326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - -2410032?\nAnswer: 2410064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71590*y - 2*y**3 + 71590*y + 18*y**2 + y**3.\nAnswer: -y**3 + 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930084 is divided by 5660.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*0 + -1. Let p(b) = -b - 1. Let k(f) = -6*f - 5. Let u(v) = i*k(v) + 3*p(v). Differentiate u(o) wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3550)\/(-15))\/(-2 + 16\/6).\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 2 + 2*i**3 + 7*i**2 + i**3 - 2*i**3. Let f(o) = -o**3 + 20*o**2 - 19*o - 6. Let u be f(19). Give h(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4393*g**2 + 1 - 4767*g**2 - 1.\nAnswer: -9160*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h. Let t(m) = -2*m - 3. Let d(i) = -2*i - 4. Let o(l) = 3*d(l) - 4*t(l). Calculate f(o(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*l + 26 = 0, -3*c - l + 13 = -2*l. Suppose -5*v + 0 = 2*w - 7, -2*v = c*w + 14. Solve v*k = 5*f - 20, 2*k - 4*k - 9 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 less than -31369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*v + 65, 2*m + 10*v - 14*v = 62. What is the remainder when m is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116621 is divided by 107.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-605)*10 + 2)\/(41\/(-1353))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (348\/36)\/((-5)\/(-435))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*y = -5, 4*k + 6 = -4*y + 2. Solve -3*z + 3 = -k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 5)*(4 + 42\/(-12)). Suppose 2*g - 17 = -7, -k*t + 725 = 4*g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 11*g + 20*g)*(-1 - 2*g + 1 + (-2 + 2 - 2*g)*(2 - 2 - 2) - 3*g - g + 5*g) to t + q*g + h*g**2 and give h.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcyc when four letters picked without replacement from ccyyhhychk?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 35*s**2 + 22*s + 45. Is d(34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**5\/9 + 16*h**4\/9 + 35*h**3\/9 + 2*h**2 = 0.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -62 - 476494?\nAnswer: -476556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omrooorro. What is prob of picking 1 m and 1 o?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.43 * -0.2.\nAnswer: -0.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2100998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24743 - -24742.99980429. Round n to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 12*r + 21. Let j be m(-11). Sort -2, 4, j.\nAnswer: -2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 5. Let l(k) = -k**3 + 6*k**2 + 11*k - 25. Let b be 8\/2 + 4\/(24\/18). Let u be l(b). Let c(s) = -3*s - 6. What is u*c(n) + 4*y(n)?\nAnswer: 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2233 (base 6) to base 7\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*u. Let c(t) = 4*t**2 + 0 + t + 20 - 3*t**2. Does 10 divide c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = c - 80. Let w be 63\/45 - (-6)\/c. Is (w\/2)\/((-6)\/(-456)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 4731.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974*a + 18 = 977*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 179818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 + 51*o - 195. Let r be z(6). Solve -5*p - x = 11, 4 = -x - r*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71916.\nAnswer: 2, 3, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4 + 9917*j**3 - 33666*j**2 + 11880*j = 0. What is j?\nAnswer: 0, 2\/5, 3, 1980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -14420?\nAnswer: -14423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l + 42 = 2*m, m - l = 20. Let g = m - 16. Let b be 1\/g - (-8)\/(-12). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 11 - r**2 + 62)*(-7 - 15*r - 22*r + 19*r).\nAnswer: 18*r**3 + 7*r**2 - 774*r - 301","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2518 + -2783?\nAnswer: -51a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7186813.\nAnswer: 7186813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 2*w + 8, -x = -5*x - w + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -22*z + 55509. Let b = z - 1276736\/69. Calculate the common denominator of b and -89\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 9:23 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23982 and 5326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-51))\/((-3)\/2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 1. Let r(z) = -z**3 + 5*z**2 + z - 9. Give -r(p) - 5*v(p).\nAnswer: p**3 - p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 1. Let y be j(-3). Suppose -88 = -0*o + 4*o - y*c, -4 = c. Let n(x) = x**3 - 103*x**2 + 2098*x + 122. Let a be n(75). Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(544)\/sqrt(2) + sqrt(17) - (0 + -2*sqrt(17))**2.\nAnswer: -68 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37119 divided by -12373?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50, 91, 166, 281, 442?\n\"Answer: j**3 + 11*j**2 + j + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 6*v + 6. Suppose 16*q = 11 + 21. Let t(u) = -u**3 + 11*u - 7*u**2 + 4*u**2 - 11 + 3*u**q. What is 11*d(k) + 6*t(k)?\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*m + 252187 = -2554749. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g. Let p(m) = -20 + 20 + 8*m. Let a(j) = 6*p(j) - 5*r(j). Let b(o) = -3*o**2. Calculate b(a(z)).\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -26*b**3\/3 - 30. Let s(j) = -3*j. Calculate s(k(y)).\nAnswer: 78*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Let z = -110 - -112. What is the second smallest value in 0.3, z, i, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 1690371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/1*152\/(-20). Let l be s\/(-57) - ((-34)\/6 - -1). Let a be 4\/14 + 33\/7. Solve -5*c + l = -2*h - 1, -4*h = -a*c + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Suppose -x*r - 6 = -7*r. Let o(u) = u + u - 8*u**r - 2*u. Let t(b) = 2*b. Determine o(t(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j + 87 - 1017. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293177387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.287227196 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -2*r**5\/5 + 3*r**4\/2 - 4*r**3\/3 - 30. Factor v(j).\nAnswer: -2*j**2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllzllzyllll. What is prob of picking 1 z and 1 l?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 362*s**4 + 19*s**3 - 27312 wrt s.\nAnswer: 1448*s**3 + 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -65 + 60 + (2 - 1). Put i, 4, -2, 3 in descending order.\nAnswer: 4, 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b + 89*b - 2545440 = 0. Calculate the greatest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -28*r + 143, -5*l = 5*r - 98 - 88 + 166 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l + 1. Let u(a) = 5*a**3 - 2*a**2 + 6*a - 5. Suppose 2 = -7*d + 9*d. Let g(t) = d*u(t) + 4*w(t). What is the units digit of g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*b + 69*b = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.1, 3, -177929?\nAnswer: -177929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -125651, -502611, -1130877, -2010449, -3141327?\n\"Answer: -125653*c**2 - c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 12 = 2*r - 3*w, -w = -110 + 113 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 10:53 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444057?\nAnswer: 3, 17, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(12))**2 - ((4 + (sqrt(3) - sqrt(147)))**2 + sqrt(3)).\nAnswer: -76 + 47*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2511546010 to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-56)*(-11)\/(1155\/(-8260)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-2)\/7 - 1725\/161. Is ((-80)\/(-55))\/8 + (-4497)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.254758 months in millennia?\nAnswer: 0.0019378965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(1\/5 + 0). What is the highest common divisor of 175 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30323855 divided by -6?\nAnswer: 30323855\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 136 in -36, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*(-1 + 1). Suppose p = 5*z - 9 - 31. Suppose -2*k - 4*w + 58 = 0, 0*k - 2*w - 116 = -4*k. Calculate the remainder when k is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 5, 0, -49, -3\/2 in ascending order.\nAnswer: -49, -3\/2, -0.14, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2862\/265*(-20)\/(-6). Let k(l) = 8*l + 2. Let p be k(2). Let j be (96\/p)\/(2\/3). Calculate the greatest common divisor of j and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-820)\/328)\/((-40)\/12)*(-40)\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from sny.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -2*w - 3*u, -10849*w + 15 = -10849*w + 3*u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -11. Let i be (3 - (3 - 3)) + k. Suppose i*a = a + 105. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/17*6\/(-72)*4*54.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*n + 4*l + l, -l = -4*n + 14. Let f be ((-4)\/6)\/(2\/n). Let a(i) = -i - 1. Let h be a(f). What is the biggest value in 4\/5, h, -0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(3\/11))\/h)\/h)\/(h*h**9*h))\/(h**(-6\/7)*h**6) assuming h is positive.\nAnswer: h**(-1341\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-2))\/(6\/(-4)*2). What is the closest to 1 in w, 1\/5, 1, 0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Let u = 0.5 - z. Let o = u + 0.7. Sort -3, o, -1 in descending order.\nAnswer: o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-2 - 8 - -2 - (57 - 60))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + u - 6, 0 = -o - 2*u - 10732 + 10734 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.424 - -175.676. Let w = p + -168. Let t = w - 2.1. What is the third smallest value in 1, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012941 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiefcyaicecyeyef. What is prob of picking 1 f and 1 i?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1072 + -597. What are the prime factors of i?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3202, -3206, -3208, -3208?\n\"Answer: v**2 - 7*v - 3196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**2 + 45. Let i(f) = 5*f**2 - 18. Let t(b) = 2*d(b) + 5*i(b). Let a(s) = -9*s**2 + 5*s**2 + 23*s**2 + 31*s**2. Determine a(t(p)).\nAnswer: 450*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*f**2 - 218*f + 218*f to l*f + t + a*f**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*-3*-120*169\/43095.\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34683550 by -3153050.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.7479891 rounded to two dps?\nAnswer: -25.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 245484.\nAnswer: 490968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-105)\/(-108))\/5 + 1\/4. Let h be 2\/(-18)*3*(-1 + 0). What is the second biggest value in -1\/11, -0.2, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7888504 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: Let n(s) = -s - 13. Let q be 280\/(-21) + (-4)\/(-3). Let t be n(q). Let l be t*(-4 - -4 - 0). Solve -2*w - 4*x + 16 = l, 2*w + 0*w - 3*x = -19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 12 + 3, 29 = 3*v - 4*m. Suppose -34 + 9 = -5*n, 3*n = v*w - 51. Suppose -30*o + 32*o - w = 0. Solve -3*d = 3*p - o + 2, 0 = 5*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 1. Let y(w) = -2*w + 25. Calculate 4*x(r) - y(r).\nAnswer: -6*r - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (-26 - 14) - (0 + 23).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2549 = 450*a - 4201 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 14*b + 69. Let m be u(15). Calculate the greatest common divisor of m and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3918 is divided by 185?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 1, v: 2, d: 10, n: 1, c: 3}. What is prob of picking 1 g and 2 v?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22593 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from yfvvvvyyvyyvvlvlyyyv.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Suppose -u*v + 0*v + 3 = 0. Let s = -1\/6 - -2\/3. Which is the second biggest value? (a) 0.1 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -3 + (3 - 2). Let r be ((-36)\/(-10))\/(20\/1450*29) + -5. Solve 3*l + r*k + 3 = 0, y*l + 5*k = 1 - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/(0 - (-28)\/(-12)). Which is the nearest to 3? (a) 0 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -16. Find the second derivative of s**h + 6*s - 5*s + 2*s**2 + 6*s wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 200 (b) 2\/3 (c) -1\/1001 (d) -3\/85 (e) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -19*l - 115 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1400 (base 5) to base 6.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259788 + 0*w - 5*w - 259787 - 29*w - 2*w.\nAnswer: -36*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8710337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 2400 - 5*g**3 - 2400 - g.\nAnswer: -5*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**4\/24 - 262*n**2. Let y(q) = -1. Let z be ((-3)\/4)\/(2\/8). What is z*x(g) + y(g)?\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20960 and 45280?\nAnswer: 5931680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -29 (b) 0.5 (c) -1\/2 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -487 - -5?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -369993527 or -369993529?\nAnswer: -369993529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 7*t**2 - 4.\nAnswer: (t + 1)*(t + 2)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(((-154)\/84)\/11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.325 - 0.175. Let y = -291 + 3785\/13. Let k = 775 + -770. Which is the third biggest value? (a) y (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17968 + -0.2112. Round o to three decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*k - 33 = -3*j, j + 2*k = 0. Let w be 17*1 - (3 - j). Solve -4*z - z = -w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7261 and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -5*l**4 - 22*l**3\/3 + 11*l**2 - 22*l + 12. Let n(w) = w**3 + w**2 - w + 1. Calculate -44*n(a) - 2*x(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92165 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**5 - z**3 + z**2 - z. Let g(y) = 5*y**5 - 7*y**4 + 3*y**3 - 9*y**2 + 8*y. Let u(s) = 3*g(s) + 24*o(s). Factor u(a).\nAnswer: -3*a**2*(a + 1)**2*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 312, 1480, 3520, 6438, 10240, 14932, 20520, 27010?\n\"Answer: l**3 + 430*l**2 - 129*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((-2 + -1 + sqrt(208) - sqrt(208)) + -1)*-2)**2.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(207249\/(-3550)*-25)?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcau when four letters picked without replacement from vkkucraa.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 31. Let f be -1 + 2 + 0 - 5. Suppose 28 = 4*b + 5*v, -3*b + 25 = 4*v + 3. Sort b, g, f in decreasing order.\nAnswer: g, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 (base 11) to base 5\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l - 7. Determine j(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2. Let l(z) = 852*z**2 + z + 3. What is l(a(i))?\nAnswer: 852*i**4 - i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 5. Let h be f(-3). Suppose -h*t = -3*t + 5. Suppose s = 0, 2*v + s - 44 = t*s. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 2:15 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15030 and 1670.\nAnswer: 15030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(99)*-2 + sqrt(99))\/sqrt(9) - sqrt(11)) + 4)*-5 - (sqrt(99) + -2*-2*sqrt(99))*2)**2.\nAnswer: 800*sqrt(11) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*b*s*u + 2*b*s - 2*b - 3*s*u + 3*u with respect to s.\nAnswer: 29*b*u + 2*b - 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 1640\/(-410) + -4*(1 + -782).\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*h**4 - 78*h**3 + 75*h**2 - 24*h.\nAnswer: 3*h*(h - 1)**2*(9*h - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v + 1. Let i be -35*(2 + (-4 - -1)). Let p be (-14)\/i - (-17)\/5. Suppose -5*b - p*w + w = 12, -5*w = -3*b - 32. Give d(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2483168*u**2 - 3600096 wrt u.\nAnswer: 4966336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69293 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, j: 3, e: 6, c: 1, o: 1}. Give prob of sequence epje.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z)**(-1\/13)\/(z**0)**(-22) assuming z is positive.\nAnswer: z**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61250*x + 61274*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10 - 7 - 2*k - 5. Suppose -2*t - 3*n - 19 = 0, 2*n = t + 3*t + 62. Let j be w(t). Solve -3*a + 3*r + 8 - j = 0, 2*a + 4*r = 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.99 + 2. Let z = h - 2.01. Let s = z - -1. Which is the closest to 1? (a) -3 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**7\/840 - x**5\/60 - 14*x**2. Let c(s) be the third derivative of w(s). Let a(y) = 3*y. Calculate a(c(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (-2 + (7 - 4) - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 361*n**3*o**3*s**3 + 70*n**3*o - n**2*o**2 + 69*n*o**3*s**3 - 6*n*o**2*s**3 - o**2*s**2 wrt o.\nAnswer: 2166*n**3*s**3 + 414*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a century in months?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.429 + 0.029. Let b = t - -6. Let z = 1.1 - b. Sort -1\/2, z, -0.2 in descending order.\nAnswer: z, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h + 8. Suppose 4*t + 2*t = 210. Suppose 0*j + 50 = 3*z + j, 2*j + t = 3*z. Let f be (2\/5)\/(1\/z). Let c(s) = s + 1. Calculate f*c(u) - a(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.6 + -18.5. Sort 2\/51, f, -0.1, -1\/7 in ascending order.\nAnswer: -1\/7, -0.1, 2\/51, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -28 + 20 - -26\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 3*f - 3*f)*(11 + 129 + 121).\nAnswer: -1305*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (11 - 7) - (306 - 237)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0208387 - 1164130198.\nAnswer: -1164130197.9791613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -11 - (-9 + 8 + 1 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + -1.4. Let n = 1.35 - 1.319. Let p = 0.131 - n. Which is the closest to 1? (a) 6 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -10\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 68070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/119 and 57\/7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 4)*(1 + 1 - 1) - 106 + 92 - 296)*(d - 2*d - d).\nAnswer: 622*d","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -364.63540035 - -364.7354. Let x = 0.1 + -0.2. Let g = x + d. What is g rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -245\/2964?\nAnswer: -245\/2964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 9*v + 19. What is c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:26 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5) + (5 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -14*b. Let s be m(-1). Does 6 divide (s\/(-6) + 3)*33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o = 16*o + 5*p - 15, 3*o - 3*p - 3 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41047 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056 times 500?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r + 1. Let v(z) = -z**3 - 3*z**2 - 3*z - 3. Let a = -25 + 24. Calculate a*v(h) - 3*b(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (23 - 30) + -16\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3060146*t + 3060043*t + 5459 = 0 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3719, -3717, -3703, -3671, -3615, -3529, -3407?\n\"Answer: c**3 - 5*c - 3715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(68) + sqrt(68)*1)*-1)**2*5.\nAnswer: -4080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1763669, 1764056, 1764443?\nAnswer: 1764830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -145*x - 6. Let w(q) = 71*q + 3. What is -3*u(s) - 7*w(s)?\nAnswer: -62*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**6\/1980 - a**5\/132 + a**4\/33 + 7*a**3\/3 + 7. Let w(l) be the third derivative of h(l). Solve w(i) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**5 - 17*q**4 - 66*q**3 + 44603*q**2 - 4*q + 3 wrt q.\nAnswer: -60*q**2 - 408*q - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 74. Let f = 390 - h. What are the prime factors of f?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 36*s**2 - 137*s + 2685. What is the thousands digit of m(23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448 is divided by 52?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383745\/17 greater than 199044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9 + 6 - 6*n + 13*n**2 - 1 + 0. Let s(z) = -27*z**2 + 13*z - 29. Let t(r) = -13*d(r) - 6*s(r). Differentiate t(f) wrt f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235 (base 8) in base 7?\nAnswer: -1644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**6\/56 + 19*t**5\/70 + 29*t**4\/14 + 20*t**3\/7 - 472*t**2. Suppose o(j) = 0. What is j?\nAnswer: -2, -2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*u + 14036 - 5766 = 278*u - 5585 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 2352 (c) 2\/947\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 1 + sqrt(200))**2 + 3)*1.\nAnswer: 40*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 - 3*z - 1. Let u be c(-2). Suppose 149 + u = p. Suppose 0 = -11*r + p + 186. What is the remainder when r is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/3))**(-25)*j**(-3)\/j*j\/(j**(-6)*j)*(j*j*j*j**(-2\/9))\/(j*(j\/((j**(-1\/2)*j)\/j)*j)\/j)*(j**(-1\/3)\/j)**23 assuming j is positive.\nAnswer: j**(-811\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(1872)*1) - (-6*sqrt(351))\/(1*sqrt(3)*-5).\nAnswer: 4 + 222*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42215563 (base 7) in base 15?\nAnswer: 4a707a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*o**2 + 34*c**3*o + 2*c**3 + 3*c**2 + 1909*c*o**2 - 2*c + 2*o**2 wrt c.\nAnswer: 12*c*o**2 + 204*c*o + 12*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3420 and 6.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-7 - 16 - (9 - (3 - -7)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 1:24 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 3*t + 0*t + 459.\nAnswer: -t + 459","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 9*u**2 - 13*u + 34. Let d be p(-10). Find the second derivative of -28*v - d*v - 55*v**2 + 388 - 388 + 30*v wrt v.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/8 and 93\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141 by 3.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-58)\/(-435) - (-1)\/5). Factor 4\/7*n**s - 2\/7*n**4 + 2\/7 + 0*n**2 - 4\/7*n.\nAnswer: -2*(n - 1)**3*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151176375, 302352754, 453529133, 604705512?\nAnswer: 755881891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + (-5 + 1*sqrt(2057) + -3)*-5)**2.\nAnswer: -5060*sqrt(17) + 53541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, 1 t, and 1 e when four letters picked without replacement from {n: 2, k: 1, t: 2, j: 1, e: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.7 - -12. Let v(r) = -r**3 + 7*r**2 - 7*r + 7. Let j be v(6). Which is the second biggest value? (a) 0.5 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m. Let x(t) = 6*t**2 + 9*t**2 + 0*t**2 - 6*t**2. Calculate a(x(c)).\nAnswer: 90*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 670 and 12060.\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2106) + sqrt(2106)*-2)\/(2*-1*sqrt(2)).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246198131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*d - d = 15, -d = 5*u - 18. Let r = -8 - -12. Calculate the remainder when 37 is divided by 1 - r - (-13 - u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d*v**3 - 6*d*v**2 - d - 3*v**3 + 300 wrt v.\nAnswer: -12*d*v**2 - 12*d*v - 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 12. Let d be u(13). Let z be (d + (-10)\/4)*2. Let f = -2 - z. Solve 0 = -3*c + 7 + f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -21 - (21 - -16) - -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63992*q**2 + 60*q - 1261180 wrt q.\nAnswer: -127984*q + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -163 - 245. Calculate the remainder when (s\/(-5))\/(18\/60) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -3\/5*d**5 - 1\/2*d**4 - 3*d**2 + 0 + 5\/2*d**3 - 1\/14*d**7 + 2\/5*d**6 + 2*d. Factor b(u).\nAnswer: -3*(u - 2)*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1875*j + 9407. Calculate the remainder when 565 is divided by x(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -148 or 354\/559?\nAnswer: 354\/559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 z when four letters picked without replacement from {z: 4, s: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*f*r**3 + 2*f*r**2*z - 6*f*r*z + 20*f*r + 6*f*z - 21*r**3*z - r**2 wrt r?\nAnswer: -168*f*r + 4*f*z - 126*r*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/478 and 29\/156784?\nAnswer: 156784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(6\/4 + 0). Let w(g) be the first derivative of -g**3\/3 + 9*g**2\/2 + 6*g - 3. Is w(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31 + -2 + 12\/3. Suppose -4*d + 63 = -o. What is the least common multiple of d and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8602583 by 2.\nAnswer: 8602583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + t - 5 = 0, -3*t - 10 = 2*s + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/p**(1\/4)*p)\/p)\/p*p*p**(3\/2))\/(p*p*p**1*p)**(-46))**(9\/8))**(-14) assuming p is positive.\nAnswer: p**(-46935\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24115\/(-28) + 2\/8. Let y = -472 - i. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -79.\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6500 + 4?\nAnswer: -6463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3801 rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 1. Suppose 4*c - 5*c - 3 = 0. Calculate q(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 208*t - 301 - 531. Let l(a) be the second derivative of 1\/6*a**t + 1\/3*a**3 - 6*a - 2*a**2 + 0. Factor l(h).\nAnswer: 2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 12:17 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 46*t + 7. List the prime factors of p(2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 4*j + 4. Let y be (-80)\/14 + (-4)\/14. Suppose -f - 4*f - 15 = 5*b, 2*b - 5*f - 8 = 0. Let g = b - y. Determine v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a66 - -d?\nAnswer: -5a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 11. Let p = o + -5.4. Let r = 2 - -1. What is the biggest value in -0.1, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25257 - -25260. What is the nearest to 4 in 353, -5, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/7, 2\/5, -5, -0.5, -4 in decreasing order.\nAnswer: 2\/5, -0.5, -10\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2835)\/(-70))\/(-81) + 3*4\/30\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlolooooffofofaf. Give prob of sequence qa.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 10 - 10 + (-l**2 + 0*l + 0*l)*(-5 + 1 + 2) - 2*l**2 + 3*l**2 - 2*l**2 + (-5*l - 3*l + 2*l)*(-3*l + 8*l - 3*l) - 2*l**2 + l**2 + 0*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:20 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 19, 29, 39?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19030?\nAnswer: 2, 5, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 21) + 48 + -28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 13 = 5*v, -13 = -5*r + 220*v - 221*v. Is 281\/121 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135752\/9 + 15106. Which is smaller: 21 or j?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -26*u - 56. Let j be (-24)\/(-32)*(-8)\/(-2031). Is u != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.987651 rounded to 2 dps?\nAnswer: -4.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 156\/35 + -27\/7. Let b be ((-6)\/(-14))\/((-84)\/56). Put c, b, -0.2 in increasing order.\nAnswer: b, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193 - 43. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-7)*(-7)\/6. What is the nearest to -2 in -5, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -13, 1\/3 in descending order.\nAnswer: 8, 1\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - -0.02. Let k = -0.37 - d. Let n = 0.1 - 0.3. What is the second biggest value in n, k, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*y**6 - 4819*y**3 - 4*y**2 + 251863 wrt y.\nAnswer: 7920*y**3 - 28914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 7*g + 3. Let i(z) = -16*z**2 + 17*z + 6. Let p(w) = -42*w**2 + 35*w + 12. Let u(c) = 5*i(c) - 2*p(c). What is 13*s(b) - 6*u(b)?\nAnswer: 2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20178 and 548388716?\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 - -191. Let j = i - 45. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + 3\/1 + -6. Suppose -o = -h, k*h - 2*h = -2*o - 4. Let t be ((-2)\/(-30))\/(24\/(-20)). Is h greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let q(u) = -2*u + 1534. What is q(n(f))?\nAnswer: -4*f + 1534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 44 (b) 0.16 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -213*l + 18. Let u(m) = -61*m - 7391 - 7391 + 14787. Determine 18*u(z) - 5*y(z).\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -33.066. Let h = f - 132.934. Let s = h + 133.00000365. What is s rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3612150 is divided by 756.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -478708752*-0.3\nAnswer: 143612625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:44 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657820047 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -67, -153, -279, -445, -651?\n\"Answer: -20*m**2 + 14*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*q**3*z**2 + 2*q**3*z + 4735*q*z**3 - 336639*q*z wrt z.\nAnswer: 90*q**3 + 28410*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1022 + 1021.94. Let m = 21 - 16. Which is the closest to 0.1? (a) m (b) -0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/15*27\/1593\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20166 + -20270.915. Let j = 106.315056 + a. Let r = -1.4 + j. Round r to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.27, 26\/315, 1\/4?\nAnswer: 26\/315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -467\/3 + 157. Let n = 0.1 + -1.1. Let w = -1 + n. Sort 5, i, w in decreasing order.\nAnswer: 5, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 - 28*c + 35. Let u(t) = 2*t**2 + 9*t - 12. Let h(j) = 4*q(j) + 11*u(j). Let m be 2 + (-5 - -3) - -8. Is h(m) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105504 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000733 to 5 decimal places.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + -0.1. Let s = -51603.7 - -51604.2. Sort s, u, -28 in increasing order.\nAnswer: -28, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*i - 15, 3*i - 4*j = -3*j - 3. Let k be (6 + 0)*2\/(-16). Which is the nearest to i? (a) -0.19 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -9122?\nAnswer: -9126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/4 of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/8579 (b) -2 (c) -3\/4 (d) 1\/3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4388 and 18064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**7\/105 + 83*u**6\/12 - 26*u**5\/15 + u**4\/12 - 2*u**3 + 2*u**2 - 2*u - 18. Find the third derivative of d(g) wrt g.\nAnswer: 48*g + 4980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240244, 240963, 242162, 243841, 246000, 248639?\nAnswer: 251758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1359674401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:35 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 7*y - 24. What is the greatest common factor of y and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -18. Suppose -h + 3*f = -2, -h + 4*h - 10 = o*f. Find the third derivative of 8*d**2 + 5*d**5 - h*d**5 - 2*d**5 + 9*d**5 wrt d.\nAnswer: 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t. Suppose 2*i - 2*n + 6 = 0, -72*i - 2 = -74*i - 2*n. Let g(y) = 3*y**2 + 6*y. Give i*g(r) + 6*m(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001883 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(300) - (-2 + sqrt(300)) - (sqrt(3) - (3 + sqrt(3) + sqrt(3) + sqrt(147) + sqrt(3))))*-2)**2*-5.\nAnswer: -4985 - 900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -6*t. Which is the biggest value? (a) t (b) -2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218537 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 589*d - 2. Is n(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*y**2 + 11*y**4 + 63*y**2 - 33*y**4 + 5*y**3 - 32*y**2 - 13*y**4 as g + f*y**2 + i*y + o*y**3 + v*y**4 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l. Let t(y) = 558107*y + 5. What is t(z(g))?\nAnswer: 1674321*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/290 and 53\/692752.\nAnswer: 3463760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/12*(-7 + -8 + (-459)\/(-17)). Let p = -0.01 - -0.31. Which is the biggest value? (a) u (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7048217*l**3 - 8345771*l**2 wrt l.\nAnswer: 42289302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26357, 26352, 26347?\n\"Answer: -5*y + 26362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -61*y - 1761. Let p(s) = 67*s**2. Determine f(p(k)).\nAnswer: -4087*k**2 - 1761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3343308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*(-5)\/5*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 32 = -4*y, -2074*y + 4*k = -2076*y - 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = c - 5*y, 2*y + 24 = 3*c. Suppose -4*w = -5*w + c. What is the second derivative of -738*p - w*p**2 + 733*p - p**2 wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2 = -5*x, 5*j - 8 = j. Suppose x*w = -w + 4722. Is w\/10 + 6\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447 minutes after 5:22 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sedw when four letters picked without replacement from nddndksdeekw.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/11027598 and 38\/27.\nAnswer: 99248382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281321, 1125276, 2531869, 4501100, 7032969, 10127476?\nAnswer: 13784621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1110000001111110010100?\nAnswer: 1110000001111110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**3\/3 - 4*z**2 - 2*z - 1081. Give a(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 3*a**2 + 5*a - 1. Let l(h) = 5*h**3 - 9*h**2 + 14*h - 3. Let w(j) = -8*g(j) + 3*l(j). Let d be w(-3). Does d = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*l, -3*m + 2*l - l + 5 = 0. Let j(i) = -1 + 27*i**3 - i**2 + i + i**2. Is j(m) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -819040, -819076, -819136, -819220, -819328?\nAnswer: -819460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2468 + 93135. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 14.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -320, -543, -654, -653, -540?\n\"Answer: 56*z**2 - 391*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276449826 to the power of 1\/4, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -8*d**6\/75 - 21*d**5\/25 + 11*d**4\/15 + 56*d**3\/5 + 8*d**2 + 333*d. Suppose n(r) = 0. What is r?\nAnswer: -5, -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 - 2998534*g**3 - 14992687*g**2 - 23988308*g - 11994156 = 0. Calculate g.\nAnswer: -2, -1, 2998539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + 1 + -8 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3177.543884 + -3135.544. Let y = k - 42. What is y rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2776 - -2785. Let a(v) = 25*v - 232. Determine a(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4882 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 728 + -727.84. What is the biggest value in -0.4, f, -10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (120\/63 - -1) + -3. Let u(t) = -t**3 - 9*t**2 - 5. Let n be u(-9). Let a = -6.9 + 7. What is the smallest value in n, c, -3, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010000 (base 2) to base 5.\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8039371 grams in micrograms?\nAnswer: 803937.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let a(z) = -1127*z. Determine c(a(q)).\nAnswer: 2254*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 9*o - 18. Determine p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*x - c, 3*x - 13*c + 4 = -12*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*y + 21, 5*j - 94 - 1 = 5*y. Suppose 5*w - 9 = 4*w. Is j\/1 - 27\/w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 236, 237, 238, 239, 240, 241?\n\"Answer: p + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 660*l + 4028. What is the least common multiple of c(-4) and 20?\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -14. Let f(o) = o**3 - o**2 - o + 1. Let m be f(g). Sort m, -3, -4\/7 in descending order.\nAnswer: m, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9161 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 3*j = -14*q - 5, -3 = -2*q - 5*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2. Let o be j(1). Suppose 0 = s - 7 + o. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + a - 6. Let v(m) = 2*m**2 + 2*m - 11. Let h = 64 + -70. Let k(g) = h*v(g) + 11*n(g). Let s(x) = x**2 - x + 1. Let c be s(1). What is k(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 1\/4 (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/14, -1.2, 5?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 16*m**2 - 9*m - 16. Let d be p(12). Suppose d = x + x. Let g = -114 + x. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*-2)\/sqrt(3) + sqrt(18) + 2.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1*(0 - 0). Let h = -36 - -54. Suppose k = -5*i + h + 57. What is the greatest common factor of i and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -14. Let c(n) = 31*n**3 - 9*n - 7. Let p(x) = 15*x**3 - 4*x - 3. Let r(q) = s*c(q) + 9*p(q). What is the first derivative of r(y) wrt y?\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyun when four letters picked without replacement from {u: 5, o: 1, y: 4, b: 1, n: 1, v: 3}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -237 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-8))\/((-2)\/(-8)). Let k be v + -1 + 2 + -1. Sort k, 0, -5.\nAnswer: -5, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + (-25 - -1) - (107 + -109).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*4\/(-128)*0\/4. Let l(w) be the third derivative of 0*w**3 + j*w - 49*w**2 + 1\/15*w**5 + 0 + 0*w**4. Let b(s) = 5*s. Calculate l(b(r)).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 11:53 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 4:41 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 - 9*f**4 - 26*f**3 - 18*f**2 + 27*f + 27.\nAnswer: -(f - 1)*(f + 1)*(f + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, l: 3, u: 2, w: 4, d: 1, h: 1}. What is prob of picking 2 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888 = 6*c - 834 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 66151.57 milligrams?\nAnswer: 66.15157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.238431m?\nAnswer: 0.004238431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 754.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -226*a - 26342. Give k(-116).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - x + 27. Is b(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 18. Let j(u) = 4*u - 6. Let r be j(6). Let m be o(r). Let q = 0 + m. Solve 3*t = -q*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**11\/w)\/w*w\/(w\/(w**(-8)*w))*w)\/(((w\/(w*w**(-8)\/w*w*w))\/w)\/(w*((w*w**(-1\/3))\/w)\/w)) assuming w is positive.\nAnswer: w**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 9*u**2 + 4*u**3 + 19*u**2 + 7*u**2 + 2*u**2.\nAnswer: 2*u**3 + 37*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 1 - 17. Let z = i + 16. Solve 5*l = -10, l + 7 = 3*c - z*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or -14?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiffcrryy. What is prob of sequence yqfi?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (326\/(-21))\/(6 + 0). Let y = -15\/7 - t. Let o = 2.5 + -2.3. Which is the nearest to o? (a) y (b) -4\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14790?\nAnswer: 2, 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -0.5, 11 in decreasing order.\nAnswer: 11, 0.03, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (46 - 172 - 68)*(7 - 7 + q) in the form o*q + g and give o.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3))**(-2\/69)*(k\/k**(-3)*k)**(-3\/34) assuming k is positive.\nAnswer: k**(-2969\/7038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**27*w\/(w*w\/w**(-31)*w)*w assuming w is positive.\nAnswer: w**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + 3. Let v(a) = 10*a + 9. Let x(p) = 2*p - 13. Let n be x(3). Determine n*q(h) + 2*v(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 113 - 26)*(4*a - 5*a - a) + 4*a + 3*a - 2*a as q*a + x and give q.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 22820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/174*(22\/18 + -1). Suppose -p + 5 = -4*r, 0 = 5*p - 4*r - 18 - 7. Suppose 4*f + x - p*x + 4 = 0, 2*f + 1 = x. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(1690\/1040).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -28 - 34 + 76*j - 70*j. Let a be f(10). What is the remainder when 87 is divided by 19*a*(-4)\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r**2 + 9*r - 7. Let n(k) = -13*k**2 + 13*k - 11. What is 5*n(h) - 7*q(h)?\nAnswer: -2*h**2 + 2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60 + -60 + (-1 - -1700). Let v = t + -976. Is 36 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -1\/1009, 2\/3, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 4) + -3 - (6 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*t - 9*t = 29, 31*p = 59*p - 30*p - 4*t - 16 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-84)\/(-20) - 1\/5. Suppose -3*m - 15 = 0, 4*r + 15 = -r - b*m. Differentiate -3 + 3*i + r - 2 wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 25 + y + 15 - 33. Suppose 24 = -0*j - 4*j. Give h(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 4)\/(2\/(-5)). Let z(f) = -2*f - 3. What is the units digit of z(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 23. Let z be u(-13). Let t be (z - 5)*-1 + 5. Solve -2*j - 20 = 5*k, 0 = k + t*j - 2*j + 27 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88019639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 20 = 5*d + 6, 3*t = -2*d + 17. Let i(l) = -3*l - 4*l + 0*l - 3 + d*l. What is i(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/32 - 88\/32. Let u(b) = 143*b**2 + 2*b - 4. What is the hundreds digit of u(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1 - (2 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-18)\/((-324)\/225)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 2411175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522791 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4388088 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*((-6)\/4)\/(-1). Let l(b) = -b - 13. Calculate l(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:02 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -46.1. Let u = -41 + w. What is the nearest to 0.1 in u, -7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37678 - 150717\/4. Let u = 0.06 + -0.06. Put -1\/24, 1, i, u in increasing order.\nAnswer: i, -1\/24, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -594316, -1188618, -1782920, -2377222, -2971524, -3565826?\n\"Answer: -594302*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/((k*k*k**(-6\/17)*k)\/k)*k*k*k*k*k**26 assuming k is positive.\nAnswer: k**(516\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 280077?\nAnswer: 1960539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**4 - 2*s**4 + 2*s**4 + (-s**2 + 0*s**2 + 3*s**2)*(-2*s**2 - 1 + 1).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, -1, -0.2 in descending order.\nAnswer: 21, 4, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 14 = 8*n. Suppose -3*g + 28 = -5*o, -g + 3*g - 2*o - 12 = 0. What is the nearest to g in 0.4, n, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r\/(r\/(r**(5\/8)*r)))*r*r*r))\/(r\/(r\/((r**8*r)\/r))*r))**48 assuming r is positive.\nAnswer: r**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, s: 7, g: 8}. Give prob of picking 4 s.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 8 + 41*x - 3*x)*((1 + 1 - 4)*(3 - 5 + 3) + 0 + 1 + 1 - 2 + 3 + 1 + 0 - 5 - 3)*(2 + 3 - 3).\nAnswer: -456*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j - 4*m - 7, -2*m = 3*j - 1. Let n(w) = -w - 2. Let l be n(-7). Solve 2*t = 2*r - 3*r + l, 4*t - 5 = -j*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + z - 851 = 0, -4*z + 574 = -2*m - 2*z. Sort -5, m, -1 in descending order.\nAnswer: -1, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 14*m**3\/3 + 5*m**2\/2 + 14. Let z(g) = g + 5. Let l(b) = b + 4. Let r(x) = -5*l(x) + 4*z(x). Calculate r(t(s)).\nAnswer: -14*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n - 3*g + 4 = 0, -20 = 3*n - g. Let f(p) = p**3 + 9*p**2 + 3*p + 4. Let z be f(n). Let u = -48 + z. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171675873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 24921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 9:24 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 30*u**2 - 5*u - 2. Let z(a) = -30*a**2 + 6*a + 2. Give 6*o(c) + 5*z(c).\nAnswer: 30*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -3 + sqrt(1872) + sqrt(1872) + 4)*-6)**2.\nAnswer: 5184*sqrt(13) + 269892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.0000011. What is j rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4\/7, 4, 660, 6.36, 3, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 1, t: 2, d: 1}. Give prob of sequence zdg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1824 and 849936.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*j + 3219 - 564. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 72.2, -1\/4, 140, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfhahoohfmhohhhohfoh. Give prob of picking 1 a and 2 f.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78\/19 - 483\/76. Find the common denominator of g and 19\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.17872 plus -0.5251?\nAnswer: 14.65362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 25 = 5*g - 4*v, -4*g - 2*v + 26 = 0. Calculate the least common multiple of g and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25131.141 milliseconds in days?\nAnswer: 0.0002908696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 7*h**3\/6 - 7*h**2 - h - 17. Let z be s(3). Solve -2*o + z*o - 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 43. Let o = 0.6 + -0.2. Which is the closest to 2\/5? (a) o (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)*(q\/(q*(q\/(q**(-8)\/q*q))\/q*q))\/q)\/((q*(q**7*q*q*q)\/q)\/q**7))**(-1\/41) assuming q is positive.\nAnswer: q**(27\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85896 divided by 4.\nAnswer: -21474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -512 - -261. Let a = n - -248. What is the second biggest value in 0, 5, a, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d - 6. Let y(k) = -4*k - 5. Calculate 2*o(v) - 3*y(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.147675 years?\nAnswer: 0.07147675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1477 by -4.\nAnswer: -1477\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -45*d + 88. Let o be j(-11). What is o rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12708911?\nAnswer: 17, 747583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 27 = -3*k, 0 = n - k - 3940. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/55)*o)\/o**(15\/7))\/(o*o*o**(4\/5)*o)**48 assuming o is positive.\nAnswer: o**(-14053\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*a - k, -a + 3*k - 41 = -5*a. Calculate the highest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -33\/2*n - 1\/4*n**2 - 189\/4 = 0?\nAnswer: -63, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/4, -4, -0.2 in increasing order.\nAnswer: -4, -0.2, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.1 + 656011?\nAnswer: 655982.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 3*d**2 - 7*d - 20. Let p be c(-3). Let z(q) = 80*q + 6. Determine z(p).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 36*g + 179. Sort -6, g, -14 in ascending order.\nAnswer: -14, -6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d**2 - 24*d + 599. Is l(30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18234 - 0.026.\nAnswer: -18234.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, o: 5}. Give prob of sequence ssos.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 - 177*v + 176 + 8*v**2.\nAnswer: 8*v**2 - 177*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499\/2 at most as big as 750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*c - 30 = 0, -c + 16458 = 4*f - 7*f + 16471 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h + 18*h - 44 + 60. Solve -4*l = h*s + l - 31, 3*s - 4*l = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4)\/p)\/p)\/p**(-6) assuming p is positive.\nAnswer: p**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 - 445445*h = 0. What is h?\nAnswer: 0, 89089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901 = 59*c - 311 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.478 and -2?\nAnswer: 2.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/5)\/4)\/((-12)\/(-10)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 6*k**2 - 6*k - 2. Let s be p(-5). Suppose -9 = 3*g + s. Find the common denominator of (6\/(-28))\/(g\/(-91)) and -121\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 2*g**5 + 4*g + (-4 + 1 + 2)*(-1 + 3 - 1)*(0*g**5 + 5*g**5 + 7*g**5).\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**2 + 354*r - 354*r. Let m(y) = -6*y. Calculate m(o(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 846860*u**2 - 335648 wrt u?\nAnswer: 1693720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -501, -1080, -1655, -2226?\n\"Answer: 2*f**2 - 585*f + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 14, -1\/51, 4, 29 in ascending order.\nAnswer: -1\/51, 0.1, 4, 14, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -36*y + 412. Calculate w(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**3 + 4. Let c(k) = 7*k**2 - k + 1. What is -2*c(t) + 5*y(t)?\nAnswer: t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-770)\/(-6))\/(-7) + (-2)\/3. Let f = -22 - s. Let d(k) = -3*k - 3. Give d(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 49922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24310*z**2 - 43242*z**2 + 149041*z**2.\nAnswer: 81489*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 3*z - b + 14 = 0, -44 = -4*z + 5*b for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8246 = 2*n - 18*n - 15*n. Calculate the remainder when 625 is divided by n.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(143) + sqrt(143)*-2))\/(sqrt(66)\/(sqrt(6) + sqrt(18)\/sqrt(3))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 37\/2 and 431 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let b(h) = 45*h**2 - 3*h. Let r(s) = -224*s**2 + 16*s. Let w(d) = 22*b(d) + 4*r(d). Give w(g(p)).\nAnswer: 94*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from wsrzjszk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Let m be ((-1)\/(-3))\/(j\/12). Find r such that -4\/9*r**3 + 2\/3*r**5 + 0 - 8\/9*r**4 + 8\/9*r**m - 2\/9*r = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - c. Let d(o) = -8*o**3 - o**2 - o - 2. What is -b(z) + d(z)?\nAnswer: -8*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 172 + 3*m - m - 2*m - 2*m**2.\nAnswer: -2*m**2 - 3*m - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(3\/4))\/((-52)\/26)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3536 and 28834?\nAnswer: 3921424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = n. Is n\/8*(-16332)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -4*s, 4*s - s + 9 = 3*c. Let o be 28*((10 - 9) + (-2)\/c). Solve 10*v - o*v - 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 386996, 773996, 1160994, 1547990, 1934984, 2321976, 2708966?\n\"Answer: -q**2 + 387003*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10600692?\nAnswer: 2, 3, 883391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000109592 to six decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597.3146l to millilitres.\nAnswer: 597314.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1285*q**4 - q**3 + 9*q**2 - 150058*q?\nAnswer: -15420*q**2 - 6*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -7 + (-19 + 21 - -20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-1 + 3) - -23. Let z = l - 16. What is the second derivative of 3*g**5 - 2*g**5 + 0*g + g**z + 2*g wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7735 and 6698272?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4879659 = 3*k, 4*b + 4*k - 666147 - 4213505 = 0. Let m = 89914 - b. What is m rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4968\/792)\/((-2)\/(-22)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0 + -1*3. Let p be 1*((3 - -1) + v). Suppose 5*m - p*m = 36. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*t - 1, 0*t = -4*t - 4*x - 28. Let z be 90\/(1 + 1\/t). Suppose 10*o - z = o. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2 + 1 + 1 - 1 + (0 + 1 + 0)*(6 - 1 - 3) + 0 + 2 - 3 - 1 + 0 + 0)*(27*h**2 + h**2 + 6*h**2).\nAnswer: 102*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by (340\/35)\/(8\/28).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -774, -771, -768, -765, -762?\n\"Answer: 3*o - 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/10, 1, -4, -36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 722\/8 - (-1)\/(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 + t - 1. Calculate v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*f**3 - 10*a*f**2*m**3 - 5*a*m**2 + 21*f**3*m - 11*m**3 wrt a.\nAnswer: -f**3 - 10*f**2*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -157263*t + 308804*t - 135915*t. Let v(c) = c. Determine g(v(i)).\nAnswer: 15626*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1223 and -0.0869.\nAnswer: -0.01062787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1157 times -18\nAnswer: 20826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 452*i**4 + 2720*i**3 - 1760*i**2 - 10880*i - 192 = 0.\nAnswer: -6, -2, -2\/113, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 9. Suppose -23 = 4*z + 5. Calculate y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -51, -214, 3?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**3 + 3*t**2 - 3*t**2.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 4 (b) -8 (c) -162 (d) -1\/2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -894043.1 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 403*u - 256 - u**4 - 133*u**2 + 264*u**3 + u**2 - 83*u - 244*u**3 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535373607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (-23 + -22) - (1 - 24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6 = -4*d, 2*n - 3*d = -8*d - 1. Let l(g) = 0*g**2 + 3*g**2 + 3 - g**3 + 2*g**n - 4*g + 1. Let j be l(4). Put j, -1, -4 in descending order.\nAnswer: j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -130*u + 314. Let v = 2 - 0. Solve -l + 3*q = -v*l + u, 2*q - 24 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(120)\/(sqrt(50)\/sqrt(5)))\/(-2*sqrt(64) + 2*sqrt(8)\/sqrt(2)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q + 37. Calculate r(15).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 50 = 3*y + 2*d, 3*y - 3*d = 30. Is y smaller than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9052*u*z**6 + 24*u*z - z**2 + 2 wrt z.\nAnswer: -1086240*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 14*p**2 + 9*p - 52. What is the lowest common multiple of 484 and f(17)?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5506785 to the nearest integer?\nAnswer: 2347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2734252.958 to the nearest ten thousand.\nAnswer: -2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 163047 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 54+-34\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29912895*q + 28432155.\nAnswer: 29912895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, n: 1, q: 1, t: 2, w: 2, e: 3}. Give prob of picking 2 q, 1 w, and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r - 4. Let s(j) = -10*j + 5. Calculate 6*f(l) + 5*s(l).\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*g + 10 = -33*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**2 + 3*x. Let i(f) = 23*f**2 - 8*f. Let w = 25 + -21. Let t(d) = w*i(d) + 11*h(d). Let t(l) = 0. What is l?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/22 and 69\/(17\/(-204)*8 + 16\/6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28.36 and -0.045.\nAnswer: 1.2762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204231185*w**2 + 204231185*w**2 + 150*w**3.\nAnswer: 150*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1979000620 rounded to the nearest 1000000?\nAnswer: -1979000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-8)\/96*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333, -326, -315, -300?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 484764568 a multiple of 972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15118, -30957, -46796, -62635, -78474, -94313?\nAnswer: -110152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869.254mg to micrograms.\nAnswer: 869254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (9\/2)\/(42\/2800)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2182 - -2.2182. What is the nearest to i in -1\/3, 0.4, 11, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(141*a**2 - 326*a**2 - 163*a**2).\nAnswer: 348*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/4)\/((-44)\/8 - -6). Suppose -575 = -5*z + 2*d - f*d, -d = 3*z - 341. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 4. Let n(t) = -t + 4. Let a(d) = -3*l(d) + 4*n(d). What is the least common multiple of 8 and a(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 266206 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51072 and 98952.\nAnswer: 1583232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 923183803 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 44) + -52 + 46.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -37763*i**3 + 154*i**2 + 312*i + 15. Is u(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21393 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33788692*2.\nAnswer: 0.67577384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/4*-1)\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 0.5 (c) -1 (d) 1\/1268 (e) -0.91 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*x = 14 + 16, -2*x = 3*w - 25. Find the third derivative of -3*o**2 + 2*o**5 + 0*o**2 + w*o**2 wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6386, -6379, -6374, -6371, -6370?\n\"Answer: -t**2 + 10*t - 6395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let r(i) = 249*i. Determine l(r(n)).\nAnswer: 249*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22 times -0.1\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - 6. Does 16 divide (r\/9)\/((-2)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 799*a + 757*a - 1554*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q - 2. Calculate the least common multiple of 18 and m(-2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**4 + x**3 + x**2 + 1. Suppose -4*b + 65 = -71. Let q = b - 37. Let a(o) = -13*o**3 - 3. Let v(w) = q*j(w) - a(w). Factor v(y).\nAnswer: -y**2*(y - 3)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -15*i**3 + 1070*i**2 - 1380*i - 1400.\nAnswer: -5*(i - 70)*(i - 2)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 10*a - 19. Let p be o(6). Suppose p + 9 = 2*b. Suppose b*v = 6*v + 321. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -6b2a4?\nAnswer: 6b2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50050\/(-12012))\/((-6)\/(-2) + (-102)\/(-136)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 - 2*n - 3. Let y be i(-2). Let p = -10 - y. Suppose x = p*x - 4. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - u - 27 = -69, -88 = -4*j - 4*u. Solve 0 = -2*l + g + 12, 136*g - 141*g - j = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {x: 7, w: 3, d: 3, r: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from ssusuduuudsdudusu.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7517 = -39831 - 15800. List the prime factors of c.\nAnswer: 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 46 = -2*s + 7*u - u, -2*s + 234 = 4*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/((-6)\/(-6)))\/(-2). Solve v - y = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blrq when four letters picked without replacement from {r: 1, b: 1, e: 1, l: 1, q: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 81\/4 + 3\/8*h**2 - 63\/8*h = 0.\nAnswer: 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/14)\/((-2)\/(-24)). Find the second derivative of g*p**3 - 59 + 59 + 2*p wrt p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 5:18 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.422 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -44*v - 54. Let r(t) = 75*t + 90. Determine 12*k(a) + 7*r(a).\nAnswer: -3*a - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18224909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/14312 and -25\/256.\nAnswer: 457984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*w = 17 - 11, 4*q - 3*w = 6. Solve 0 + 1\/3*i**2 + q*i + 1\/3*i**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1841460 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**2 - 7 - 6*r + 2*r**3 - 23*r + 23*r - 21*r - 8. Let t be f(-6). Solve 2 = -t*j + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**4 + 6659261*p**3 + 4*p - 772398655?\nAnswer: -8*p**3 + 19977783*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*5*396\/(-22275).\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2 - 10*s + 7. Let n(r) be the second derivative of -19*r**4\/12 - 29*r**3\/6 + 10*r**2 - 109*r. Let x(l) = -4*n(l) + 11*o(l). What is x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 44*x + 135. Give j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 0*g + 23*g - 2*g - 4*g. Let r(i) = i. Calculate r(x(a)).\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/25)\/((-104)\/48).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 11. Let f(z) = -z + 3. Let t(y) = -4*y + 20. Let w(d) = -2*f(d) + 2*t(d). Give 16*r(i) + 5*w(i).\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4381, -8777, -13173?\n\"Answer: -4396*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 8:53 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 + 3. Let x be y(0). Let a = 1 + 1. Suppose n + 5*g = a*n - 12, 5*n - 2 = -4*g. Is n smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2\/21*r**3 - 3 + 0*r + 2\/35*r**5 + 0*r**2 - 1\/7*r**4. Factor v(m).\nAnswer: 2*m**2*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n = -36*n + 55. Suppose o + 4*v - 527 = 0, 9 = 5*v - n. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by (-4)\/22 - (-1 - 3 - (-1509)\/(-11))?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m = -4. Let y be (-1)\/((m*2)\/12). Suppose -y*i + 15 = -i. Is 5\/2 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**3\/3 - 6*q**2 - 2. Let u be o(12). Solve u = s - t + 2, -3*t + 14 = 5*s - 0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 0*q)*(4*q**3 - q**3 - q**3)*((-3 + 1 + 0)*(2*q + q - 5*q) + 3 - 3 + 23*q).\nAnswer: -54*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 800 + 330?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3473264829.\nAnswer: 3, 2699, 428957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133411 a multiple of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.402 + -0.192. Let v = -0.11642 - 1.07748. Let p = c + v. Round p to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6299? (a) 1\/5 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704827.3 months in decades?\nAnswer: 22540.2275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.074523 * -0.01.\nAnswer: 0.00074523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*(-3 - (-18)\/12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000534975 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 251 + 181. Is -2*9\/w + (-2518)\/(-12) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 + (-4 - -4 - 8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**2\/2 - 4. Let x(i) be the first derivative of 14*i**2 + 3. What is u(x(w))?\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-100) + 1 + (-30)\/25.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -q + 9019 + 28891, -9*k = 5*q - 85292. What are the prime factors of k?\nAnswer: 2, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2621*z + 1310*z + 1312*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (110\/(-8))\/(180\/(-144)) - (-79)\/(-3). Let q = -15 - -9. Let n = -21 - q. Is u less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8189 and -1.\nAnswer: -8190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 18. Let i = 3191.15 + -3191. What is the third smallest value in -1\/2, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 1, c: 2, g: 4}. Give prob of picking 2 c and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (1 - 2)) + 4 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 588*y + 3 + 0 + 1194*y + 88*y - 5 in the form n*y + h and give n.\nAnswer: 1870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 + -78. Let a = g - 14. Let w = a + -30. 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: Suppose 3*u - 4 = 2*x + 7*u, 5*x = u - 10. Let k = x + 3. Let m = 52 - 53. What is the third biggest value in -3, m, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829057 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11363 divided by -14?\nAnswer: 11363\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e3 + 16?\nAnswer: -2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/30 - (-36)\/15. Let -k*x**5 - 2*x - 49 + 49 + 4*x**3 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f = -20. Suppose -f*m - 3*u - 3 = 0, 0*u - u = 5. Sort m, 2\/19, -1\/4.\nAnswer: -1\/4, 2\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(5 + (-5 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 7. Let t be m(-8). Let n(k) = -k**2 - 1. Let h = 908 + -1529. Let u = h + 601. Let f(q) = 5*q**3 + 20*q**2 + 20. Calculate t*f(j) + u*n(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 + 181. Find the first derivative of -383*r**3 + 37 + 2*r + 40*r**w + 383*r**3 wrt r.\nAnswer: 160*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*i + v - 11, 3*i - 6 = 5*v. Let o be 2\/(-3)*(8 + -14). Suppose -2*w + 279 = -i*t - 93, 5*t = o*w - 745. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 59320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288 - 150. Let c = q + -224. Let t = 175 + c. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-3)\/(-6))*2. Suppose 0 = z*p - 2*r, p + 0 = r - 1. What is the third derivative of -2*v**4 + v**2 + 2*v**p + v**4 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2 - 16374440*s - 16757642832100 = 0. What is s?\nAnswer: -2046805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from zmzzemzzeeee?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 5*w - 11. Let n be m(-5). Let a = -33 - n. Suppose 2 = -3*u + 4*d, a*d - 4*d + 2 = 0. Solve -u*p - 9 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 e when four letters picked without replacement from eeeezzeezeee?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 34. Suppose 1152 = -z*s - 0*s. Round s to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 100, 156, 228, 322, 444, 600?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9965 - -9984. Solve 264 = f*j + 47*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*v = 33*v + 8850. What are the prime factors of v?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 265 and 901.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 6:28 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1708630 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - z - 4 = 6, 16 = 2*r - 5*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 3*f**2 - 1. Let y be j(2). Suppose 60*p - 54 = 51*p. Solve -v = 2*w - 4*v + 3, y*w - v = p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 99540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -87?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 131, 137, 145?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465522242 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 w = 29 + -18. Let j = w - 3. Let r = -31 + 53. Calculate the lowest common multiple of j and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-21) + 20\/(-28)*-6. Let y be 2\/t - (-270825550)\/(-20). Let f = y - -8061277. What is f rounded to the nearest one hundred thousand?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 11) to base 15.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - t - 1 + 20 + 5, 446*b + 2*t + 856 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 + 122 - s**4 + 2*s**2 - 124 - 3*s**2 + s**3 in the form d*s**3 + j*s + y + b*s**4 + i*s**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 9, 15, 23, 33, 45?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -65?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3292*h**3 + 1064606*h**2 + 1064615*h**2 - 2129221*h**2.\nAnswer: 3292*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -72 from -73.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*20\/(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/14 - (-322)\/(-4). Let g = k - -126. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.21 (b) 10.9 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2\/5 + 185844*c + 7195415070.\nAnswer: 6*(c + 77435)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3966233*y**3 + 11009810.\nAnswer: -11898699*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/161, -0.3, -0.1, -4, -7 in ascending order.\nAnswer: -7, -4, -0.3, -0.1, -2\/161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20165586915 + 202.63.\nAnswer: -20165586712.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:44 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/6 + 21*z**4\/2 - 121*z**3\/3 + 179*z**2\/3 - 79*z\/2 + 59\/6.\nAnswer: -(z - 59)*(z - 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -12*z**3 - 4*z**2 + z - 2. Let c(a) = 69*a**3 + 23*a**2 - 6*a + 11. Give -6*c(f) - 34*o(f).\nAnswer: -6*f**3 - 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 47*b**3 + 4*b**2 + 14*b - 33. Let x be n(2). Suppose -4*u + 113 = 2*v - x, 0 = -3*u - 4*v + 365. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 9*u**2 + 22*u - 63. Let t be x(7). Let h(m) = -3*m + 9*m - 5 + 4*m**2 - 3*m**2 + 0. Calculate h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**4\/24 - 119*q**2. Let d(t) = -10*t. Determine 2*d(v) - 30*r(v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f. Let y(u) = -194887600*u**2. What is n(y(d))?\nAnswer: -389775200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14774, -29344, -43928, -58532, -73162, -87824, -102524?\n\"Answer: -o**3 - o**2 - 14560*o - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111264 and 1952.\nAnswer: 111264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 1724474045?\nAnswer: -1724474044.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 130 + 224 = 0. List the prime factors of a.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 7. Is m less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1471.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.9. Suppose 24 = 5*o - m, m + m = 5*o - 23. Which is the nearest to g? (a) -3 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*r - 17, 2*r + 0*a = 2*a - 8. Let l(g) = -g - 2. Let v be l(-3). Let c be v*-1 - (-5 - -4). Is r bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23179 - 23179 + 1590*y + 4669*y in the form g + f*y and give f.\nAnswer: 6259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -719170.\nAnswer: 1\/719170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -28\/9, 0.4, -97, -4, 3\/7 in increasing order.\nAnswer: -97, -4, -28\/9, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 405 + -284. Suppose -n - u = -3*t, -3*n = -5*n - 2. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-5)\/(-3))*(-659)\/(-3295)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2\/5 - 16004*w\/5 - 208728\/5 = 0.\nAnswer: -13, 4014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 865 = -2173 + 728. What is the highest common divisor of 217 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**4 + 2*w - 2*w**3 - 4*w**3 - 2*w**2 + 5*w**3 as k + i*w**2 + b*w + x*w**4 + y*w**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3456*n. Let p(z) = z**2 + 72*z. What is p(o(q))?\nAnswer: 11943936*q**2 + 248832*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*s - 4*s - 2 = 0, -s - 1 = -3*p. Solve p*f + 4 = f - l, -4*l - 4 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836 + 812 = -3*s + 4*z, -4*s + 4*z + 28 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -0.06 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*b = 19, -m = -0*m + 5*b - 9. Let g be 775 - (m + -7 - -3). Calculate the remainder when 58 is divided by 1\/(5*5\/g).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 - 3*j**4 + j**4 + (j**2 + 0 + 0)*(5*j**2 - 3*j**2 + 5*j**2).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -128*h - 43. Is d(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/588*49*-148.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/761461183?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(15\/9). Let h = -6 + 6.3. Which is the third smallest value? (a) h (b) n (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 20 = -3*b. Suppose -2*z - 97 = -b*x, x + 4*z - 33 = z. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -246 + 262. Is k\/48 - (-14)\/12*4072 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 924 + 5?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -132*f + 9110. Give t(70).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 7:22 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 5*s**6\/3 + 7*s**5 - 35*s**4 + 20*s**3 - 303. Suppose g(o) = 0. What is o?\nAnswer: -6, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*z**3 - 2*z**2 - 9832*z + 57463.\nAnswer: 9*z**2 - 4*z - 9832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408212516?\nAnswer: 2, 102053129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045816811 rounded to 4 decimal places?\nAnswer: 0.0458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*i - 32, -4*d - 2*i + 5*i = 0. Suppose -4*u = -d*t + 2823, 3*t - 2805 = 73*u - 75*u. Does 30 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 30*c**2 + 5*c - 4. Suppose 15*w - 8 = 7*w. Let k be i(w). Solve -v = -3*v + 5*u + k, 0 = -v - 2*u - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5480974 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k - 4*k)*(k**3 - 2 + 2) + 48*k**4 - 10*k**4 + 18*k**4 + 2*k**4 - 3*k**4 - k**4 + (-5*k**2 + k**3 + 5*k**2)*(1 - k - 1).\nAnswer: 51*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 237900 rounded to the nearest 1000?\nAnswer: 238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.17 rounded to 1 decimal place?\nAnswer: 27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-33)\/(-759))\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-138)\/(-14) + 0 + (-2)\/(-14). Put h, 0, -2 in decreasing order.\nAnswer: h, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 170*z**2 + 26*z**2 + 2*z as d*z + u*z**2 + a and give u.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(2 - (3 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(35)\/sqrt(7)*3).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 324347 + -4252?\nAnswer: 320075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161718985 to the nearest integer?\nAnswer: 12717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2365295904 divided by -6\nAnswer: -394215984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 4*v**2 - 74. Let n(t) = -5*t**3 + 9*t**2 + 147. Let a(r) = -3*n(r) - 7*x(r). Let k be a(0). Suppose 0 = -y - 0*y + k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 597 + 19163. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o = -5*p + 21*o - 24, p - 4*o = -12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250266*d**3 - 250293*d**3 - 250260*d**3 + 750715*d**3.\nAnswer: -104*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-4)\/(-2))*2)\/((-836)\/(-2090)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 + 5*s**3 + 0*s**3 + (0*s**3 + 3*s**3 - 5*s**3)*(2 - 5 + 1) + 4*s**3 - 2*s**3 - s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/8))\/c**(-8))\/(c**(-1))**44)\/((c**(6\/5)*c**5)\/(c**(3\/7)\/(c*c**(-1\/7)))) assuming c is positive.\nAnswer: c**(12949\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00847 to 4 dps.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sddsdcsjscnssdcsssj. Give prob of picking 1 d and 1 s.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/(-432))\/((-2)\/(-3)). Let t be (2*6\/56)\/(49\/98). Let z = -0.2 + 0.3. Which is the third smallest value? (a) t (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 4:38 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Let m(t) = -491127*t. Calculate c(m(h)).\nAnswer: 241205730129*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 24*c**3 - 4*c**2 + 559*c - 2192. Determine b(4).\nAnswer: 1516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 102609 * 0.5\nAnswer: 51304.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 4659928*d**2 - 2714366120648*d.\nAnswer: -2*d*(d - 1164982)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1. Let y(z) = 2*z**2 + 2*z + 4. Let i be y(-4). Let v(u) = -2*u**2 - 18. Let c(d) = i*r(d) + 2*v(d). Differentiate c(w) with respect to w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 4*n - 2. Let z(j) = 16*j**2 - 21*j - 11. Let x(u) = 11*l(u) - 2*z(u). Let i(k) = -k. Let f be (-1 + 3)*10\/(-4). What is f*i(w) + 2*x(w)?\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/((-17)\/(-68))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -3)\/4*-4. Is -4 + 137 + w\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t + 3*i - 2, 5*i - 10 = -2*t. Let m be 5*(t - -5 - (-4)\/10). What is the closest to m in 3\/2, 5, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188249 + -2070733\/11. Factor o*l**2 + 60\/11*l - 6.\nAnswer: 6*(l - 1)*(l + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from sccescseffs.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 189 = 5*c + 33, c - 3*b - 34 = 0. Let v = 47 - c. Is 19 a factor of (-1)\/(-4) - (-908)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2113801, 4227598, 6341395?\n\"Answer: 2113797*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14054215*r**3 - 7027118*r**3 - 7027107*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4 (c) -0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*x**2 - 53*x**3 + 23*x**3 - 83*x**3 - 2 + 211*x**2.\nAnswer: -113*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3361305 and -151\/210.\nAnswer: 47058270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.467 + 0.067. Is 2\/9 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2493 + -2385. Let n = 245 - 89. What is the greatest common divisor of m and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 755416279*f**2 - 13728587.\nAnswer: 1510832558*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/4 + 2*b**3 + 9*b**2\/2 - 2*b - 43. Let w be v(4). What is the common denominator of 0 + -4 + 239\/w and -69\/20?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*5\/(-60)*2. Which is the third biggest value? (a) 4\/5 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x + 0*x)*(-6*x + x + 3*x)*(-1 + 2487682*x**2 - 443*x - 562*x - 2487681*x**2).\nAnswer: 4*x**4 - 4020*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*x - x. Let d(z) = 0 - 5 + 0*z + x*z. Let h(w) = -2*w + 4. Let a(o) = -3*d(o) - 4*h(o). Find the first derivative of a(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + -0.236. Let l = 1.054 + y. What is l rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 3267.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Suppose r = -0*i + 3*i. What is the units digit of (-10)\/(-1 + i\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159903 by -1467.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2. Let j(k) = 3*k**2. Let m = 74 - 70. Let u be 3 + -9 + (-9)\/3. Determine m*j(z) + u*w(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/260*60\/(-9)*4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -3)\/(-1)*(1 + 18). Let x = -17 - r. Solve -2*p + 4*a - 21 = 3*p, -x*p - 6 = -a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - z**2 + 2. Let o be b(0). Suppose -o*y + 16 = 4. Suppose y*a = -4 + 22. Which is greater: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1547109.9819 rounded to the nearest 10000?\nAnswer: -1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*v**4 - 317*v**3 + 4440*v + 3.\nAnswer: -120*v**2 - 1902*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(4))\/sqrt(2).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -27*f**3 + f**2 + f - 2. Let u be v(-2). Suppose 0 = u*c - 212*c - 38644. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x + 2. Suppose 0 = -5*h - 12 + 22. Suppose -4 = q + h*l + 9, 5 = -l. Let b(t) = -8*t + 3. Calculate q*p(o) + 2*b(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by (1 + -2)\/(84\/44 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1239586438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - -0.8. Let q = -3319.2 + 3319. Which is the biggest value? (a) -2\/21 (b) q (c) -0.5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 5 - (-3 + 0 + 1). Solve 3*o = j + c*j + 4, -5*j + 3*o = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4 + 372*f**3 - 772*f**2 - 8976*f = 0?\nAnswer: -374, -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1032169, -1032181, -1032193?\n\"Answer: -12*v - 1032157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q**2 + 63*q + 257. Determine p(-4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -3 - (3 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 141 = 4*x + 2*z, -4*x + 159 = -5*z. Let w = -21 + x. Let i = -4 + w. Solve -4*d + 16 = -5*f, -2*f - 4*d + 5 = -i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o + 3. Let r = 2551 + -2552. What is the third smallest value in o, r, -0.24?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-45)\/27*27\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 6*p + 12. Solve 5*n + 18 = -j - j, -p*j - 2*n = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7811086537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3288234 divided by 6?\nAnswer: 548039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60512257 and -0.1?\nAnswer: 6051225.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -2224720038830.\nAnswer: -2224720038830.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8154867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -632, -493, -372, -275, -208, -177?\n\"Answer: -u**3 - 3*u**2 + 155*u - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*1*(-1 - -2). Let t(m) = -8*m - 64. Let o be t(-8). Suppose -j*r = -2*p - o*r + 36, 0 = 2*r - 10. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -5*j**2\/2 - j - 48. Let r(u) = 4*u + 1. Determine 4*r(a) + 3*x(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*i + 5 = 0, 3 - 11 = 2*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4013*v**4 + 4*v**3 + 570*v**2 + 6*v + 1 wrt v.\nAnswer: -96312*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 57465 and 57454 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -884*q - 312027. Calculate u(-353).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 1\/6, -286\/5, -9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n + 3. Let x(v) = v - 1. Suppose 5*o - 5 = -5*h, o + 2 = -3. Let k be (-2)\/(-5) - 39\/(-15). Let a be (-33)\/h - k\/(-2). Give a*x(t) - i(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2195, -3250, -4307, -5366?\n\"Answer: -k**2 - 1052*k - 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 748 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g + 6. Let o(s) = -1. What is -6*o(v) - r(v)?\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 212696, 211547, 210398, 209249, 208100?\n\"Answer: -1149*u + 213845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**5*t**3 - 16174*l**5*t - 3706*l - 3*t**3 wrt l.\nAnswer: 40*l**3*t**3 - 323480*l**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millisecond in microseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14431980 - 0?\nAnswer: -14431980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/20 + v**4\/4 + v**2\/2 + 19*v. What is r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 35 - 15) + 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -0.4, 5\/12, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f. Let w(b) = b - 23. Let g(p) = 666*p - 1702. Let s(h) = -g(h) + 74*w(h). Give u(s(d)).\nAnswer: -592*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*g**2 + 649843*g\/3 + 28882\/3.\nAnswer: -(g - 14441)*(45*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26279233, 52558465, 78837697, 105116929, 131396161, 157675393?\n\"Answer: 26279232*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - -1) + -28 + 40.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4267 - -6.\nAnswer: -4261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*v - 1 + 1 - 524*v + 270*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*sqrt(425)*3*-3 + -3)**2.\nAnswer: -1350*sqrt(17) + 860634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2 - w**2 - 5*w + 3*w - 7*w - 4. Is x(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/21574 and 23\/9380.\nAnswer: 215740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -147, -386, -743, -1230, -1859, -2642?\nAnswer: -3591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 258 or 515\/2?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029339 to 4 dps.\nAnswer: -0.0293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 34, 46, 76, 130, 214, 334?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2514, 6527, 10540, 14553, 18566?\n\"Answer: 4013*k - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10140 + 11031124?\nAnswer: 11020434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 373 (b) -3\/4 (c) 12 (d) -529\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 17. Suppose -i - 3 = 5*r. Let w be (-15)\/6*r\/(-20). Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2 - 5. Let y(k) = 3*k**2 + 4*k + 4. Suppose -21*n = -16*n + 60. Let h(v) = -v - 1. Let i(f) = n*h(f) + w*y(f). Let q(s) = s**2. What is q(i(t))?\nAnswer: 81*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -0*y - y + 2*o, 0 = -3*o + 9. Let v = 307 - y. What is the nearest to 1 in -4, 0.028, v?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 1\/3*g**3 + 7\/2*g**2 + 6*g + 1. Calculate j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*z - 60*z + 81. Suppose 0 = -17*g - z*g + 1872. What is the highest common factor of 108 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5472*b - 40*b**2 + 5486*b + 6108*b - 17066*b.\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 518*a**2 + 16. Let y(z) = -8841*z. What is y(t(q))?\nAnswer: -4579638*q**2 - 141456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2)*-2)\/((sqrt(24)\/sqrt(2) - sqrt(12))*-2 - sqrt(12)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*t - 25567 + 2269 = 148*t + 324*t for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408 + 411 - 1222 + 403 + 216*s - 397*s + 180*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 7*y + 44. Let g be m(3). Solve -3*r = -4*a + 9, -2 = -4*r + 3*a - g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1761, -1765, -1771, -1779, -1789?\nAnswer: -1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 - 4 - 16*q**2 + 4.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 3*j + 1. Let o(m) = 404*m**2 + 2727*m + 909. What is -2*o(y) + 1818*t(y)?\nAnswer: 1010*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 - 148. Let d = -8 - 13. Let m = d - w. Which is the nearest to m? (a) -0.01 (b) -0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 - b**2 - 23*b + 23. Calculate j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {b: 3, u: 2, p: 1, w: 5, y: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14483 + -6?\nAnswer: -14489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 3*c**4\/4 - 8*c**3\/3 + 14. Find the third derivative of v(q) wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239863 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/8 + v**5\/30 + v**3\/3 - 7*v**2. Is g(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*j**4 + 10*j**3 + 63*j**2 - 2*j wrt j?\nAnswer: 840*j + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 128 - 8*c - 3*c + c + 9*c. Is z(0) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*j - 8, -11*j + 9*j = r + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10900*o - 10981*o = -243 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 18*p - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -160334, -630367, -1413756, -2510501, -3920602?\n\"Answer: -156678*o**2 + o - 3657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 82 times 0.57\nAnswer: 46.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -846088, -1692170, -2538252?\n\"Answer: -846082*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*u + 2*q, u - 13 + 5 = 3*q. Sort 3, u, -5 in decreasing order.\nAnswer: u, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let m(h) = -131*h + 4. Give u(m(r)).\nAnswer: -17161*r**2 + 1048*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 = h, -3*x - h = 4*h - 10. Let b(y) = y + y + y + x. Let k(q) = 4*q. Let g(d) = 5*b(d) - 3*k(d). Let s(l) = -l**2. What is s(g(u))?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - 67.13. Let b = a + -2.87. Let f = 0.13 + 4.87. What is the closest to -0.1 in b, -2\/7, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262637 is divided by 1520?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176868 and 1156?\nAnswer: 176868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f - 70. Let h = f + 68. Let m be 2 + h\/(-14) - -2. Sort m, 3\/7, -5 in descending order.\nAnswer: 3\/7, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/2 + g. Let h(a) be the first derivative of 22 + 13*a**2 - 9*a**2 - 3*a**2 - 3. Determine y(h(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**3 - 2*r. Let n(i) be the second derivative of -17*i**5\/20 - 7*i**3\/6 - 34*i - 2. Determine 14*b(z) - 4*n(z).\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 452.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12952 + 25892 - 3*p**3 - 12940.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -463 + 14351\/31. Let o(a) = -a**2 + 9*a - 5. Let y be o(-5). Let v be (-2)\/8 + y\/(-12) + -7. Which is greater: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 t when three letters picked without replacement from {b: 2, u: 1, j: 4, r: 2, t: 1, p: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4)*(-11*m - 10 + 10) to o + r*m and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*r = -249*r - 51. Differentiate 21 - r - 6 + 152*o + 17 + 28 wrt o.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 26*k + 184. Let l(f) = 12720*f + 2. Determine z(l(p)).\nAnswer: 330720*p + 236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -82919.148 to the nearest 100.\nAnswer: -82900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89774 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b - 140. Let r be y(27). Calculate the remainder when 235 is divided by -27 + r + (5*5 - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.23 (b) 8105 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + -0.8. Let w = 0.3 - 0. Let j = g + w. Which is smaller: j or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -175 - -74. Let g = -2390044.99708 - -2390146. Let s = g + v. What is s rounded to 4 decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 34. Suppose 0 = -2*o, -k = 2*k + p*o + 48. Which is the biggest value? (a) 0.4 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -36*d**3 + 9*d**2 - 272*d - 581. What is a(-2)?\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*h**4 + 6 - 21*h**2 + 21*h**2 - 9 wrt h.\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 12. Let y(p) = p**3 - 18*p**2 + 19*p - 23. Let h be y(17). Let l be a(h). What is the closest to 0 in 5, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/1 + 2\/3*3. What is f rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -214, -186, -156, -124, -90?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -86 - (-45 - -140 - 48)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/44 - (-17)\/(-300). Let u = -9241\/150 - o. Let v = u - -61. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v**4 - 2*v**4 - 2 - 2*v**4 + v**2 - 87*v**3 + 86*v**3 to w*v + a + j*v**3 + f*v**2 + y*v**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 - u**2 + 1. Let l be a(1). Let d be 2\/(-1) - (-16)\/(-8). Is l != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (221*(-41)\/5330)\/((-2)\/20).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 110*m + 12. Suppose -d = -2*x + 10, 0*x = 4*x + d - 14. Let r be k(x). Suppose -2*c - 3*q = -4*c + 295, 3*c + 5*q - r = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 4, z: 5}. Give prob of picking 1 y and 2 z.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 6. Suppose o*p - 170 = p. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5 = l - 2*j, -6094*l + 2*j - j = -6091*l + 27 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 840 and 945.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1, 3\/7, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 52*k**2 - 98*k - 37. Give h(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21122 - 18183595.\nAnswer: -18204717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 850\/(-15) - (-4 - 28\/(-12)). Let y = j - -229. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 - 110\/(-33). Let w = 2645 + -2643. Sort -3, i, w, 1 in descending order.\nAnswer: i, w, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -356 + 383. Calculate the remainder when p is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -47. Let a = 16 + z. Solve 5*o - 4*n - 7 = -2*n, -3*o - a*n + 21 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j**2 - 2*j - 2. Let c = -1 - 1. Let v be k(c). Let q(z) = -5*z**3 - z - 1. Is q(v) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*w**2)*(-3*w + 4*w + 4*w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + 1227.2\nAnswer: 1227.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377913 is divided by 851?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 7492141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2404 or 160317?\nAnswer: 2404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8819 divided by -1.\nAnswer: -8819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 11. Let u(s) = -1. Let j(x) = -l(x) - 4*u(x). Let c be j(-8). Let w = 16 - c. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = d + 11, -4*m + 15 = m - 5*d. Calculate the smallest common multiple of m and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 p when three letters picked without replacement from pdcpcpp?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 692.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 4 - 6)*(-89 - -7). Let g = p - 1209. Are -553 and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - b = 14, b = 5*g - 2*g - 8. Let d be (-6)\/(-9) + 2\/(-3) + g. What are the prime factors of (11\/(165\/(-414)))\/(d\/(-10))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7803 is divided by 223.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-228)*-1*(-12)\/(-16).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5638991t?\nAnswer: 563899100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 126 + 78*d - 39 - 44.\nAnswer: 78*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 91176, 186396, 281628, 376878, 472152, 567456, 662796, 758178?\n\"Answer: u**3 + 95213*u - 4038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 7:02 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) -2 (c) -3\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126234*0.7.\nAnswer: 88363.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*x + 29*x - 13542. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*a**2 + 237*a**2 - 7 + 109*a**2 + 115*a**2 - 575*a**2 + 7.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211 - -83. Calculate the greatest common divisor of f and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g - 0, -v + 5*g = -8. Suppose 2*x = -v*x - 790. Let l = 52 + x. Round l to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402 by -201.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in 1, 0.495, 0.216, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/640*4)\/((-14)\/(-35))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0 + 3*n + 0*n**5 - 1\/30*n**6 + 0*n**4 - 1\/2*n**2 - 1\/6*n**3. Let g(o) be the first derivative of r(o). Give g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**4\/8 + 717*o**2. Let r(w) = 131*w**2 - 2. Calculate h(r(l)).\nAnswer: 393*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2\/315, -182, 456?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9*y - 140. Is z(-28) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 2*j - 3. Let r(l) = l**2 - 16*l + 41. Let y be r(13). Let z be k(y). Solve 5*p + 15 = z*h, 16 = -6*p + 2*p + 5*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2758.203m to nanometers.\nAnswer: 2758203000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccec when four letters picked without replacement from {e: 4, c: 10}.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-2*w**2 - w + w) - 5*w**2 + w + 2*w**2 + 4*w**2.\nAnswer: 5*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 12 + 31 + -37 + -31.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m**2 - 4*m + 4. Let i(t) = -6*t**2 - 2*t + 2. Determine 3*h(f) - 7*i(f).\nAnswer: 3*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, -7, -18, -31, -46, -63, -82?\n\"Answer: -b**2 - 6*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 p when three letters picked without replacement from ppwppww?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-7))\/(((-13)\/(-39))\/(266\/(-1368)*-12))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 25*t + 15. Calculate j(12).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-91)\/(-28))\/((-6)\/(-24)). Suppose o*f + 21 = 20*f. Solve -10 = -4*v + 3*h, -h + 10 = f*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1580.5 - 1580.50010637. Round x to 6 dps.\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -551 less than -554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/12 + 11*u**3\/6 + 79*u**2\/2 + 3*u + 998. Give d(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 3896396?\nAnswer: 3896397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssu when four letters picked without replacement from susssusussssss.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/14 + 5\/7. Let m = -13324 - -13340. What is the greatest common divisor of m and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(1 + 2) - (-399)\/9. Let h = 87 - w. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*l**3 + c**3*l + 2*c*l**6 + 112*l**2 wrt l.\nAnswer: -6*c**3 + 240*c*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/3)\/((-16)\/48) - 16\/4. Which is the second smallest value? (a) -0.2 (b) u (c) 193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 0.307, 4\/9, -5 in decreasing order.\nAnswer: 4, 4\/9, 0.307, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, a: 3, u: 9, t: 3}. Give prob of sequence xu.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/13 - 180416*i\/13 - 360840\/13 = 0. What is i?\nAnswer: -2, 90210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 + 1?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 205498 rounded to the nearest one thousand?\nAnswer: 205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(4 - 8) - (-6)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 - 8*m + 48. Determine w(5).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/49)*z*z**(1\/3)*z*z*((z\/(z*z\/(z*z*(z\/(z*z**(-2\/5)))\/z)*z))\/z*z)**(1\/9) assuming z is positive.\nAnswer: z**(3166\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/((p*p\/p**(4\/7)*p)\/p)*p*p)\/p*p**(-3\/5)\/p)**(6\/11) assuming p is positive.\nAnswer: p**(204\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11456690\/11 at most as big as 1041518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3585 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(6\/2 - 2). Let u be (-150)\/(-5) - (x + 1). Suppose 0 = b - 4*g + 11 - u, 5*b + 3*g - 3 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 1292.\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4 + 4. Let s be (m\/(-6))\/((-1)\/(-6)). Let a be s\/9 + (-665)\/(-45). Solve 0 = 5*i - 10 - a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 82 = 3*t, 7630*j - 7634*j + 72 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 478767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsu when three letters picked without replacement from pususvspsvvppuvphhs.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or 988\/31?\nAnswer: 988\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1010 - -924 - (0 - 79).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -19*t + 17*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 216, 214, 212, 210, 208?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -85\/6*v**4 + 45*v**2 - 3*v - 1\/24*v**6 + 0 + 160\/3*v**3 + 5\/3*v**5. Suppose d(r) = 0. What is r?\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*d**2 + 225*d**2 - 457*d**2 - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -915 divided by 15.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120824281?\nAnswer: 43, 2809867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -734285 less than -734285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251250 divided by 5.\nAnswer: 50250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(228) + -1*sqrt(228) + sqrt(228)))\/sqrt(12) - (sqrt(76) - (sqrt(76)*1 + sqrt(76))*-4)\/(sqrt(16) + sqrt(64) - sqrt(4)).\nAnswer: 1 + 16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -32*o**3 + 356*o**2 - 9*o - 397. What is k(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -1\/20*l**5 + 5\/16*l**4 - 1\/3*l**3 + 43 + 0*l**2 + 0*l. Factor n(u).\nAnswer: -u**2*(u - 4)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (511\/(-21) - 209\/(-19))*675\/(-300).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*x - 7 + 2, -4*k = -4*x - 44. Let d = 8 + -15. Let u = k + d. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528700 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137197472?\nAnswer: 2, 239, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s**2\/5 + 1411*s\/5 + 364\/5 = 0 for s.\nAnswer: -52, -7\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 20) + -5 + 5. Let w = -25 - c. Let h be w + 4*3\/4. Solve 6 = 3*o - h*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70004 is divided by 167?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*k + 3 = 0, k + 4 = 2*w + 2. Solve -4 = 4*o, 0*o - o - w = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 2*h - 3*h + (6*h - 7*h - 4*h)*(0 + 0 - 2)*(30 - 13 - 10) as d + q*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -190887, -381771, -572645, -763503, -954339, -1145147?\n\"Answer: m**3 - m**2 - 190888*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 11:37 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + -14 + 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 51\nAnswer: -13\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -0.1575?\nAnswer: 0.5575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -44.0000152. What is g rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - k - 2 = 0, 7 = 3*d - 3*k + 1. Suppose -4*q + 4*p = -d*q - 40, 5*q + 5*p = 0. Suppose q*z - z - 25600000 = 0. Round z to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2640 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/4)\/s*s**(-12))**(-3)\/(s**6*s\/(s**(1\/23)*s)*s)**(-1\/3) assuming s is positive.\nAnswer: s**(11197\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2+-10.177\nAnswer: -8.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36608 - -36608.0000004362. What is m rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40716, 40737, 40768, 40809, 40860, 40921, 40992?\n\"Answer: 5*c**2 + 6*c + 40705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 - (-7 + (7 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -64. Suppose 22*b + 1125 = l*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 5) in base 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 415 and 35773?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/4)\/((-3)\/(-9)). Let v = k - -17. Which is the biggest value? (a) v (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/38864 and 23\/40.\nAnswer: 194320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -51*q**3 - q**2 - 7*q - 5. Let z(i) = 2*i**2 + 5*i - 2. Let o be z(-2). Is b(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -47 and -60320.\nAnswer: -60367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -9)\/((-6)\/(-380)). Let d be (17 - 14) + 0 + 0. Suppose -d*b - h = -b. Round b to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 740.99 - 747. What is h rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 1, e: 2, l: 1, v: 1, a: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1760.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244283845*f**2 - f**3 + 244283845*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = g, 3*g + g = 3*j + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1010*i**2 + 1527*i + 21. Let o(b) = -336*b**2 - 509*b - 6. Let j(l) = 14*o(l) + 4*u(l). Find the second derivative of j(v) wrt v.\nAnswer: -1328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - ((-43 - -36) + -3 + 69)) + -17?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 6. Let z be l(-4). Suppose -z*q - 4 = -12. Let r = q - -12. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/3 (b) 3 (c) 0.0211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276 by -2.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6003*v**2 + 3048*v**2 + 3024*v**2.\nAnswer: 69*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*z - 5 = 24, 5*z = -5*c - 15. Let f be 251\/4 + c\/(-20). Suppose -36 = -3*r - r. Calculate the greatest common divisor of r and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w - 17*w + 27540. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*x + 756 + 98 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5 - (0 - ((4 - -2) + 7)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49100, -48891, -48648, -48371, -48060, -47715, -47336?\n\"Answer: 17*u**2 + 158*u - 49275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2, 0 = -z - u + 2*u + 3. Let y(w) = -6*w**2 - w + 3. Let j(g) = 2 + 0*g**2 - 6 + g + 7*g**2. What is z*y(c) + 4*j(c)?\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637.85 take away -2?\nAnswer: 2639.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869.5189 hours to seconds.\nAnswer: 3130268.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 4*w**2 + 0*w + 0*w**4 - 1\/105*w**7 + 0 + 0*w**6 + 0*w**3 + 7\/60*w**5. Find the third derivative of d(c) wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487 = 41*c - 661. Solve b + 26*j - c*j = 7, -2*b + 2 = 2*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2046 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 - 26. Let v be s(-6). Let t = 413 + v. Let l = t - 30. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -18*q**3 + 21*q**2 + 4. Let l(s) = -s**3 + s**2 - 1. Let k(c) = -4*l(c) - o(c). What is the third derivative of k(b) wrt b?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 65 - 75 = 2*n, -5*n = 21*q - 12*q + 45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*l**3 - 2*l + 78*l**3 + 86*l**3 to the form t*l + d*l**3 + w + g*l**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -239*a + 72*a + 2004 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - 7 - (-19 - 36 - -21)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-w + 3*w + 0 - 2*w**2 - 6).\nAnswer: 2*w**2 - 2*w + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -5*k**2\/2 - 2*k + 1. Let p(r) = -20*r - 9. Suppose 26*y + 266 = 318. Calculate y*p(a) - 9*s(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:22 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - s - 2 = 0, 5*o + 10*s + 30 = 5*s. Let i be (-3 - (o + 1))\/((-24)\/16). Solve -l - 8 = h + 2*h, -i*l + h + 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 - 25*p**2 + 97*p\/2 - 24.\nAnswer: (p - 48)*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h**2 - 35*h + 7. Let s(x) = 31*x**2 - 71*x + 16. Determine 5*m(a) - 2*s(a).\nAnswer: -2*a**2 - 33*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18656 divided by 22\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 7, d: 4}. What is prob of sequence edd?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*h - 31392 = 208*h. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - ((-8 - -13) + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60859071 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 18*a + 5. Let i(g) = -18*g - 5. Let t(r) = 5*i(r) + 6*j(r). Suppose 14 = 4*p - 2, 4*x = -p + 20. Is t(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78925267 to the nearest integer?\nAnswer: 8884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -422.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 3*d**2 - 3*d**2 - 1 + (-5*d + 5*d - d)*(-140*d + 1101269 - 1101269).\nAnswer: 142*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/19? (a) 2\/9 (b) 0 (c) -2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448013890 and 610.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/17397 and 82\/168953865?\nAnswer: 506861595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 3*-3 + 2232\/(-620)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105273687 to the power of 1\/2, to the nearest integer?\nAnswer: 10260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*z = -3*z - 18, -5*o - z + 72 = 0. Suppose 0 = 3*w + o, -4*k = -k + 4*w + 14. Solve -2*x - 4*q = 20, -x + k*q = x + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/390)\/((-8)\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -30*b**2 - 5*b**5 + 15*b**4 + 14*b**3 + 105 - 7*b**3 - 5*b - 90 + 3*b**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + v - 10 = -24, 0 = 5*o - 3*v - 22. Let s be (-2)\/(-1)*(-74)\/4. Is 7 a factor of o*1 + (1 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/17)*h)\/(h\/(h*h**(-1))))\/(h**(-13)\/h**(-13)))**(-41) assuming h is positive.\nAnswer: h**(41\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1 - (-1 - -6)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, x: 15}. What is prob of picking 3 x?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/251 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97390 - -138833. Suppose 27607 = 2*l - 2*c - c, -2*c = 3*l - m. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 645 + 3*i**3 - 332*i + 647 - 1292 - i**2 + i**3 in the form s*i + k*i**3 + y + l*i**2 and give s.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*9\/6*10\/(-15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3726964 and 380.\nAnswer: 18634820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0 - 1) + -28 + -1 + 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/s*s)**(30\/7)*s**30\/(s*s**(-2\/7)) assuming s is positive.\nAnswer: s**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 6*m - 5 = -5*d, -20 = m + 5*d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, -254, -1234, -3148, -6308?\nAnswer: -11026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/3 + 1. Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from kekjkkeeeeejkee.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 25 = -5*q, -5*o + 3*q - 15 = -0*q. Let s = 229\/5 + -2976\/65. Let c = s - 68\/195. Is o >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0309*8\nAnswer: 0.2472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - 84. Let j = t + 65. Round j to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6398 + 0.0062. Round x to 2 decimal places.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -942*x + 939*x + 25, -44 = -2*q - 3*x for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -5*o**4\/24 + 378*o**2. Let k(a) = -14*a. Let y(x) = -5*x. Let z(g) = -3*k(g) + 8*y(g). Give z(j(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155144 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 653895 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/19)\/(z*z**(-6\/7)))\/((((z\/((((((z*z**0)\/z)\/z)\/z*z)\/z)\/z))\/z*z*z)\/z)\/z**(-3\/7)))**16 assuming z is positive.\nAnswer: z**(-9952\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 85 + 5\/((-15)\/(-6)). Suppose 2*k - o - 63 = 0. Calculate the remainder when k is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 1. Let d be k(5). Solve -d = -5*b - 3*m, -2*m = m - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -5. Let x = -4 - -10. Suppose -x*i - 21 = -69. Solve i*s = b*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, l: 1, c: 2}. What is prob of sequence qj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135279425 divided by 135279425.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 11247177 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 600 - 72. Let u = 116 + w. Solve -2*t = -2*c, t + 3 = u*c - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 9 = -s, -2*i = -s - 7738 + 7719 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290408 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.28 - 5.2800004136. Round u to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0197 - -259943365\nAnswer: 259943366.0197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5319 = -13*j + 2455. Is 600 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 7) to base 6\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-4))\/(7\/(-196)*-7). Suppose -3*j = 8*c - 7*c - 16, 3*j = k*c - 44. Sort -0.4, c, 1\/8 in ascending order.\nAnswer: -0.4, 1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 60055413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 623 + -615. Solve 2*w + 7 = -h + 10, -5*w - 3*h = -p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 580 = -m. Let x = m + -260. Let p = -485 - x. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.54*0.3\nAnswer: 0.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -89, -141, -213, -305, -417?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 12*f - 8. Let u be z(5). Let n = 88 - u. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-297)\/(-156) + ((-469)\/(-268))\/(1 + -2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099985 times 0.2?\nAnswer: -219997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6)*k)\/((k\/(k\/((((k*(k*k\/k**(8\/9))\/k)\/k)\/k*k)\/k))*k)\/k))**2 assuming k is positive.\nAnswer: k**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(37\/(94720\/(-360)))?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 7, 4112 in ascending order.\nAnswer: 1, 5, 7, 4112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2192*h**2*k**2 + 3*h**2*k + 5*h**2 - 20*h*k**2 - 2*h*k + 10*k**2 + 265471*k wrt k?\nAnswer: -4384*h**2 - 40*h + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + 0.0189.\nAnswer: -0.6811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 2*y**2 - 2*y**2 + (-3*y + 0 + 0)*(9*y + 18*y + 30*y) - y**2 - y**2 + 3*y**2 + (-y + 4*y - 2*y)*(-1 + 1 + 2*y))*(-4*y**2 + y**2 + y**2).\nAnswer: 334*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 7*k + 5. What is the tens digit of y(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/52)\/b)*b)\/b**(-5\/7)*(b\/(b\/(b\/b**(3\/14))))\/b**(-16\/7) assuming b is positive.\nAnswer: b**(2477\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*b + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196 + 295. Let p = d + -70. Suppose 0 = -5*c + 4*v + p, -2*v = -c - 3*c + 22. What is the lowest common multiple of c and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**5\/5 - 3*x**4 - 95*x. Suppose z(d) = 0. What is d?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-16\/5)*a**(2\/31))\/((a**(-19)*a)\/(a\/(a*a\/(((a**(-26)*a)\/a)\/a)))) assuming a is positive.\nAnswer: a**(-1881\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 245029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 0, 1\/3, 1\/7, 4, -65207 in increasing order.\nAnswer: -65207, -4, 0, 1\/7, 1\/3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/7 - 580688*p\/7 - 42149819168\/7 = 0. What is p?\nAnswer: -145172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4 and 19\/1709172.\nAnswer: 1709172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 225, 133, -49, -351?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, -0.02, 3\/2, -2\/13, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m + 13*m + 3. Sort m, -1, -69 in descending order.\nAnswer: -1, m, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183 * -0.07\nAnswer: 12.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-1*485\/38800?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:04 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74*p**2 - 20*p + 0 + 0 - 5*p**3 + 54*p**2.\nAnswer: -5*p*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4 - 46*p**3\/3 - 16*p**2\/3 = 0.\nAnswer: -1\/3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-15)\/(-8))*(-5145)\/980.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 + z. Let s be r(-1). Suppose 5*m + w - 30 + 6 = 0, 2*m = -4*w + 6. Solve x - m = y, s*x - 5 = -0*y + y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from hxxyamoy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 - 16*f**2\/9.\nAnswer: 2*f**2*(f - 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 2, -6, -28, -70?\n\"Answer: -z**3 + 2*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2060 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145504, 582155, 1309906, 2328757, 3638708, 5239759?\nAnswer: 7131910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167341940 is divided by 507.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80546, -161062, -241578, -322094?\n\"Answer: -80516*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**2 + r**2 - 12*r**2 + 10*r**2.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 51561 - 25?\nAnswer: 5153b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1037534 + 0?\nAnswer: 1037534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by -5\nAnswer: 98\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*i = 18, -5*l + i - 18 = 2*i. Let j = 7 + l. Let 4\/3*t**j + 2\/3 - 2*t**2 + 0*t = 0. Calculate t.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 140?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 9:31 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 258, 698, 1140, 1584, 2030?\n\"Answer: j**2 + 437*j - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - 8. Let i = y - -18. What is the second biggest value in 5, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 - -2) + 2)*(-2)\/2. Let r be (10\/4 + f)\/((-4)\/16). Factor 2 + 1\/2*u**2 - r*u.\nAnswer: (u - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j - 1. What are the prime factors of g(9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/3*(-253)\/(-2024)*3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1969, 1968, 1967?\n\"Answer: -r + 1970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 116?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2434 divided by -6\nAnswer: -1217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 43. Solve -a*l = -1 + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*f - 52*f - 27*f**2 + 66*f**2 + 23*f**2 - 53*f.\nAnswer: 62*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 - 10843216?\nAnswer: -10843215.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 4*i**2 - 2*i - 1. Let q be d(3). Differentiate 0*f**2 - 4 + 11 + 8*f**q wrt f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.1, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**11*y**8)**(-1\/46)\/((y**0)**13*(y**(-2\/9)\/y)**(-35)) assuming y is positive.\nAnswer: y**(-17881\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 + 327*c - 20129. Determine g(41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 4*n**2 + 7*n - 13. Is j(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*c**2 - 116195*c - 116125.\nAnswer: -5*(c + 1)*(14*c + 23225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -63, -89, -125?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 57. List the prime factors of (1 + q)*(10 - 17).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 6. Suppose -4*p = -4*l + 8, -l + 3*l - 3 = 3*p. Let o be b(l). What is the third derivative of a**2 - a**o + a**2 - a**3 wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 51. Solve 0 = -l*m - 2*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4777 - -4786. Calculate the smallest common multiple of c and 533.\nAnswer: 4797","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(5\/14)\/((i\/(i*i*i**8*i))\/i)**(-19\/4) assuming i is positive.\nAnswer: i**(-209\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*r**2 - 887978*r + 534760337 with respect to r.\nAnswer: 18*r - 887978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12838, -12839, -12840?\nAnswer: -12841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -122b4 + -e?\nAnswer: -122c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d - 4*h + 6, 0 = -5*d + 3*h + 15. Suppose -2*l + d = -1. Suppose g = l*g. Solve g = -s + 5, -2*a + 4*a - 5 = s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/f*f\/(f*f\/f**(-9\/2))*f*((f*f*f**11*f*f)\/f)\/(f**(2\/53)\/f))**21 assuming f is positive.\nAnswer: f**(36645\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.118 and 1028?\nAnswer: 1028.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let k(b) = -182*b + 334*b - 154*b - 4. What is -k(n) - 3*m(n)?\nAnswer: -n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23568307 is divided by 57.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:13 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b537 + -1475?\nAnswer: a0c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*b**4 + 2*b**3 + 339*b**2.\nAnswer: -1608*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 2*o - 2. Let g(r) = -1 - 2*r**2 + 0*r**3 - 3 + 2 - 2*r**3 - 3*r. Let m be g(-1). Let f(c) = -c**2 + 1. Give m*y(s) + 2*f(s).\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 362\/5 - 73. Let h = -0.021248 + -0.078752. Let n = 0.2 + 0.8. What is the third smallest value in v, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*y + 112*y = -5*q + 35, 0 = q + 2*y - 34 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuzuuzwuuuuwuw. What is prob of picking 1 z and 2 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (35\/10)\/((-2)\/72). Let r = -129 - j. Let s be r\/(27\/(-120)*15\/(-36)). Which is the nearest to 1\/3? (a) -4\/5 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 + 2*h**4 + 4*h**4 + (-11*h**3 + 39*h**2 - 39*h**2)*(-29*h - 3*h + 2*h) in the form c*h**4 + a*h + w*h**3 + u*h**2 + v and give c.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -474, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 25, 3*h - 76 = 3*b - 2*b. Let g = 61 + b. Let x be (-40)\/220 + (-93)\/(-451). Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64)\/468*(-30)\/(-1). Let o = 36\/13 + k. Suppose -l - 3 = -2*w - 0*w, 4*l - 5*w = -3. Which is the biggest value? (a) o (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 + 1366*r**2\/3 - 784691*r\/6 - 131237.\nAnswer: (r - 263)*(r + 1)*(r + 2994)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r**3 + 7*r + 7. Let l be f(-5). Suppose 0 = -q - k + 1318, 4*k - l - 352 = -q. Let h = q + -563. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o + 137843. Let w(k) = -k**2. Determine q(w(p)).\nAnswer: 5*p**2 + 137843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 6 + 8 - (1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 2*w**2 - w**2. Let u(t) be the third derivative of 0*t + 0*t**3 - 4*t**2 - 1\/24*t**4 + 0. What is o(u(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.073*1033\nAnswer: -75.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-3))*(t\/t**(1\/7))\/t)\/(t**(2\/5))**(-1) assuming t is positive.\nAnswer: t**(114\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*n = -7, -9 = -2*s - 3*s - 4*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*o - 15, 0 = -2*y - y + o + 8. Let z = 1 - y. Suppose -5*h + 7 + 18 = z. Solve -4*v = -h*l + 6, 0*v + 2*v - 3*l + 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*v - 101*v - 176*v - 95*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14813 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 d when four letters picked without replacement from dsdggddsdgddg.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = v - 9*z, -5*z + 2 + 81 = 63 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**5\/5 - 643*y**4\/5 - 35249*y**3\/5 + 9141163*y**2\/5 - 12136354*y\/5 + 606216 = 0.\nAnswer: -116, 1\/3, 1, 134, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/(-4)*(-13)\/364*-16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 11 (c) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 4*j - 23. Let g be s(6). Let l(w) = w**2 + 12*w + 4. Calculate l(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100101010111111 (base 2) to base 4\nAnswer: -10222333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633 divided by 5.\nAnswer: -633\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/4 + 567*f**3\/4 - 1713*f**2\/2 + 1717*f - 1146.\nAnswer: (f - 2)**3*(f + 573)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = 3. Suppose f*s - 27 = 3*b, -4*b = 12 + 8. Solve -j = -2*w - 2*w + 2, 4*j - 12 = -s*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373688639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*t**5 - 9002*t**4 - 11*t**3 - 9*t**2 + 16496*t + 3 wrt t.\nAnswer: 960*t**2 - 216048*t - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -581*v**2 - 21*v - 2. Let s(c) = 8*c**2. Determine h(s(r)).\nAnswer: -37184*r**4 - 168*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 250025956943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22697651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184848?\nAnswer: 2, 3, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a year in months?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56730 divided by -9455\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5 - 3152*s**4 + 446838*s**3 - 19400732*s**2 + 281541568*s - 1297739520 = 0 for s.\nAnswer: -1710, 11, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 8:43 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.33 - 3036.\nAnswer: -3039.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19*d + 57*d + 33*d - 11*d. Let r be k(1). Calculate the greatest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -377\/438?\nAnswer: -377\/438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 4 + 4 - 15 - 7*u + 15 + (-5 + 2 + 4)*(0*u - 3*u + u) - 1 + u + 1.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 597684629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -381 at most as big as 613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:03 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1009 + 1918. List the prime factors of b.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*f - 5*k, -k + 0 = 3. Suppose -4*l + f*z = -580, -3*z - z - 296 = -2*l. Suppose o - l = -4*o. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1266 and 200493888.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 465*g**4 - 86*g**4 - 6437*g**3 + 2*g**2 + 7 + 6436*g**3 - g in the form y*g**3 + s + u*g**4 + o*g + w*g**2 and give u.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 22. Suppose 2*d - 190 + l = 0. Suppose v - 3*h - h - d = 0, -4*h = 12. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 0)*(-1)\/(-1). Let j = -8 - -11. Let s = 3.4 - j. What is the closest to 0 in h, s, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6518 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - g**3 - 2*g**2 - g + 6*g**2. Calculate o(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*p - 18 = 0, -3*p - 16 = -4*x - p. Solve -4*g = 3*k + 22, -g - 5 - 3 = x*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 468756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 7*q**2 + 4*q**2 + (-3 + 4 + 9)*(2*q - 2*q - 2*q**2 + (-q + q - 2*q)*(-12*q - 150 + 150)) in the form t*q + u*q**2 + v and give u.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 0*v + 0*v)*(-4 - 1 + 3) + 147*v - 17*v - 23*v - 2 in the form g + y*v and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 261, 392, 523, 654, 785?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 602.986 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 62416?\nAnswer: 62416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 16*r - 10. Calculate l(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v + 14*v - 91*v = 96*v + 29920 for v.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.07, 0.0756?\nAnswer: 0.0756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127234924 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1284937 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + h + 4 = -5, -3*h = -5*o + 23. Suppose 134*l + 140 = 127*l. Let b be (18\/15)\/((-68)\/l - 3). Solve -p + o*f = 5, 4 = -3*p + 4*f - b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334958 - 2*v - 864*v**3 + 167479 + 167479.\nAnswer: -864*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 21312039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/19 - 197531724*x\/19 - 4877347748301522\/19.\nAnswer: -2*(x + 49382931)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:56 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9762881 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*v**2 - 263*v**2 + 1056*v**2 - 254*v**2 - 261*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38146 - 26386. Let g be x\/(((-35)\/(-6250))\/(-7)). Round g to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47310 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0885 - -657.9115. Let n = r - 655.31. What is n rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 82817*p - 98. Let b be u(-6). What is b rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v*v)**(-10\/7)\/(v**10\/(v*(v*(v*(v**17*v)\/v)\/v*v)\/v)) assuming v is positive.\nAnswer: v**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -88201734*o + 268409.\nAnswer: -88201734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.02 and -70860 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164176*w**2 - 448882*w**2 + 187 - 187.\nAnswer: -284706*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -15, 1 in increasing order.\nAnswer: -15, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t*((t**(1\/4)*t)\/t)\/t)*t*t**(1\/4))\/(t**(-2)\/t*t*t**(-3)\/t) assuming t is positive.\nAnswer: t**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/3 - 55*t + 166\/3 = 0.\nAnswer: -166, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40074 - 4863. List the prime factors of f.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o**1*(o\/(o**1*o)*o)**(-34))\/(o*o*o*o**(-4)*o\/(o\/((o\/o**(-1\/5))\/o))*o)**(-8\/11) assuming o is positive.\nAnswer: o**(228\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**6\/180 - 71*a**3\/3 + 23. Let l(i) be the third derivative of u(i). Let g(x) = 13*x**2 - 3*x. What is l(g(q))?\nAnswer: 338*q**4 - 156*q**3 + 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Does -1743 = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + (60 - 43) - (-2 + (2 - -1))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -259034347370 - -0.11?\nAnswer: -259034347369.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 107*d**3 + 1037*d. Let k(r) = 3*r. Calculate w(k(m)).\nAnswer: 1926*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-4)*o)\/o*o*(o\/(o*o*(o*o**(-3))\/o*o)*o)\/o*o*o)**(4\/39) assuming o is positive.\nAnswer: o**(4\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*g**6 - 4*g**4 - 53*g**2.\nAnswer: 2400*g**3 - 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 9 - 4 = -3, 45 = 5*i - 5*d for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 30. Let o = -3.5 - -0.5. What is the nearest to g in o, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22829.6724 to the nearest 10.\nAnswer: -22830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 79, -19, -2 in descending order.\nAnswer: 79, -2, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 42. Let d = j + 7. Is 23 a factor of (-2)\/(-3) - 327\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2289 + 2284. Let c(x) = -x**3 - 7*x**2 - 6*x - 3. Give c(s).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/62 (b) 6348 (c) 0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 15. Let x(t) = t**2 - 2*t - 3. Let f be x(3). Let n = -3.93 + -0.07. What is the nearest to f in q, -0.1, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 37*w - 172120. Calculate d(397).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.22, -5, -3 in decreasing order.\nAnswer: -0.22, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2222231*x**2 - 4080167*x wrt x?\nAnswer: 4444462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 5, -3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uunjuttjrtj. Give prob of sequence urt.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2.69, -2\/31, 1 in ascending order.\nAnswer: -2\/31, 0.1, 1, 2.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-4998)*63)\/(((-6)\/(-3))\/8)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/55 in 0.5, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 276*p**2 + 4942*p + 290007 wrt p?\nAnswer: 552*p + 4942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*o = -389*o + 12600 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -0*f + 2*f. Let y be f*(2 - 2 - 7\/(-2)). Is 6 a factor of ((-6004)\/y)\/((-4)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 359 = 215. Let i be l\/(-16) - ((9 - -7) + -11). Which is the smallest value? (a) -2\/3 (b) -3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, r: 10, u: 5}. Give prob of sequence uc.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 8. Solve -5*p - k + 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 545\/12947 + -16\/107. What is the nearest to -1\/3 in w, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 23*y**2 - 101*y - 465. Calculate the remainder when 822 is divided by w(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(117))*3 + -3 + -2*sqrt(117) + 5)**2 + 1.\nAnswer: 66*sqrt(13) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525902.\nAnswer: 2, 13, 113, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -360*z + 1052. List the prime factors of p(-34).\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -282 + 282.012. Let l = b - -0.338. Put 5, -1, l in decreasing order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from kvvvkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 114*u**2 + 354*u + 4. Determine l(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 + 12*o**3 + 36*o**2 - 96*o - 192.\nAnswer: -3*(o - 4)**2*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003665208 to six dps.\nAnswer: 0.000367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + 2?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3743.3082 + -0.3082. Let q = 3737.946 - r. Let o = q - -0.054. Which is the biggest value? (a) -1 (b) 3 (c) o (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wxxw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34364 times 5519?\nAnswer: -1896.54916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7746 is divided by 228.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -21*h + 14*h - 15 + 11*h + h**2. Calculate the smallest common multiple of (0 + 3)\/(6\/8) and l(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -22*q - 25. Let m(g) = 26*g + 26. What is -5*m(l) - 6*u(l)?\nAnswer: 2*l + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.59286 + 0.09286. Let n = -3.02 - -0.02. What is the nearest to 0.21 in h, n, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -80466.\nAnswer: -1\/80466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834466 is divided by 36?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(9)\/sqrt(3))*1)**2.\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -374*m**7\/35 - 55*m**4\/24 - m**3\/3 - 351*m**2. What is the second derivative of a(d) wrt d?\nAnswer: -26928*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - s + 1 - 17, 4*b - 16 = -2*s. Let k(q) = 3*q**2 - 8*q. Let c be k(6). Suppose 0*f - c = -b*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*s + d, 145*s - 143*s + 4*d = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**2 - 42*c + 9. Let i(a) = -9*a**2 - 86*a + 19. Give -3*i(h) + 7*k(h).\nAnswer: -h**2 - 36*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 259089 smaller than 259067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = 5*z + 193, 0 = -5*x + 31*z + 201 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 77 - 163 + 86.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.169509*2.\nAnswer: -0.339018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227 + 228. Put a, -0.4, 10, 0.1 in descending order.\nAnswer: 10, a, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 + 104*j - 875. Determine o(24).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.5 (b) -3 (c) -76 (d) -1037\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1784429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/7 + 12870\/(-154). Let o = 464 + j. Find the second derivative of 9*x + 380 - o - 11*x**4 wrt x.\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 34947251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.45545 minutes to nanoseconds.\nAnswer: 5127327000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*b - 46, 333 = -9*f + 5*b + 244 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10096446?\nAnswer: 2, 3, 47, 35803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1097 - 1099. Which is the biggest value? (a) i (b) -4 (c) -1\/3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994037946.\nAnswer: 2, 3, 11, 971, 15511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwqqmfvkfmmmmwfqqm. What is prob of sequence kqf?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -182*d**6\/3 - 92*d**3 - 27. What is the third derivative of c(b) wrt b?\nAnswer: -21840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 48 - (-1 + -1 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7186 - -7194. Solve -5*r - 7*q + k*q = -3, -3*r - 5*q = -13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10915339.4 rounded to the nearest one hundred thousand?\nAnswer: -10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 2\/7 (b) -5 (c) -0.5 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4\/5 (c) -0.04 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/8 + 287*o\/8 + 1781\/4.\nAnswer: (o + 13)*(o + 274)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v. Let n(s) = s**2 - 11*s. Let q(j) = -22*i(j) - 2*n(j). Let z(a) = -8128 + 4051 - 39*a + 4079. Calculate z(q(d)).\nAnswer: 78*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 394 - 373. Suppose -2*v = 3*v - 50. What is the remainder when m is divided by (8\/v)\/((-2)\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 7908\/7 + 7916\/7*l**2 + 2260*l + 4\/7*l**3 = 0.\nAnswer: -1977, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -3\/7 (b) 0.3556 (c) -0.3 (d) 405\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2926 + 4*q**2 - 2*q**2 + 1224 in the form p*q + b + l*q**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -41.00000021. Round m to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 41*-1 - (8 + -7). Let g = -17 - z. Let j = g - 20. Solve -l + 17 = -3*k - 0*k, j*l = -4*k - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(12695*v**2 - 12695*v**2 - 2*v**3 + 105*v) to the form z + s*v + u*v**3 + j*v**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6 = -4. Suppose -20 = -y*g - 3*g, 2*v = -3*g. Let u(z) = z**2 + 7*z + 7. Calculate u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/10 and 29\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9573870468.1 - -9577678270.09985. Let u = h + -3807898. Let c = u + 96. What is c rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 1.201.\nAnswer: 1.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.77107 days in milliseconds?\nAnswer: 6719420448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 3*h**2. Let g = -45 + 48. Determine d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 0*p**2 + 3*p**2 + 2 - 5*p**2.\nAnswer: -2*p**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 + 4.2169. Let c = -0.7839 - n. Let g = -0.94 - c. What is g rounded to three dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = x - 198, -5*m + x + 402 = -m. Suppose 8*y - 3*y = 20. Suppose -s - y*s = -m. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 9. Let k(h) = 14*h - 327. Let i be k(23). Put -4, j, i in decreasing order.\nAnswer: j, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 4*j - 522. What are the prime factors of j?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*k + m - 10 = 209*k, -5*m = k - 7*m - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -264 - -740. Let m = z - 229. What are the prime factors of m?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - (12 + -7 - -2 - (-34 - -39) - 1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - y - 3, -5*y + 5 = -a + 6*a. Let l(c) = a - 3 - c + 0*c - c + 2*c**2. What is the tens digit of l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77\/45 + 10\/9. Let o = -25 + 25. Which is the nearest to o? (a) -2\/5 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*z**4 - 4107*z**3 - 36279*z**2 - 96168*z - 63984 = 0. What is z?\nAnswer: -1333\/4, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/144 and -65\/126.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -389 or -390?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-6))\/j*j\/j**7*(((j**(1\/13)*j)\/j)\/j)\/((j\/j**0*j)\/j) assuming j is positive.\nAnswer: j**(-25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 568.764ug?\nAnswer: 0.000568764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x + 1 + 0 - 5 - 3. Determine w(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*(-6)\/(-27)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164.1 + 154. Let n = -413 + 425. Let t = n + g. Round t to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/30 - 5*s**4\/12 + 5*s**3\/6 + s**2 - 23*s. Let t(a) = a**2 + 6*a - 3. Let q(x) = 3*d(x) + 5*t(x). Determine q(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 902 = -5*u - 141, -5*c = 5*u - 2695. List the prime factors of c.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4904*o**2 + 8174978*o + 16670.\nAnswer: 2*(o + 1667)*(2452*o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 233810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1134264 and 312.\nAnswer: 353890368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w*(w*w**(-1\/18)*w)\/w)\/w*w)*w**(-7\/10) assuming w is positive.\nAnswer: w**(-74\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (64\/(-32))\/(-6 - -1). What is the nearest to t in 2\/9, -0.7, 3, -1\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80, -558, -1364, -2492, -3936, -5690, -7748?\n\"Answer: k**3 - 170*k**2 + 25*k + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*p - 51*p + 39 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -143111664 divided by 331277\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 402648 divided by 152\nAnswer: 2649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21011010 + -21220021?\nAnswer: -120001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 390671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s = 33*s + 2. Suppose 2*k - 2 = s. Solve 0 = -4*o + o - 4*d - 22, -k*o = -d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.238 + 0.262. Let k = 0 - -0.03. Let o = 1616 + -1619. Put k, s, o in increasing order.\nAnswer: o, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.1263 or 11?\nAnswer: -2.1263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2 - (-12)\/10). Let s = -1 - -4. Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1125*j + 1156*j + 6 - 2292*j - j**3 - 13*j**2. Suppose -u - u = -5*p - 52, u + 4 = 0. Give l(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1320052 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/9, 2\/23, 1 in descending order.\nAnswer: 1, 2\/23, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 829, 1168, 1507, 1846, 2185, 2524?\n\"Answer: 339*m + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p\/((p\/(p\/(p**19*p*p))*p)\/p)*p)**(-2\/31) assuming p is positive.\nAnswer: p**(118\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 46*r**3 - 5*r**2 - 7*r - 5. Let c(n) = -69*n**3 + 7*n**2 + 10*n + 7. Suppose -j + 2*f = -41 + 46, -15 = 3*j - 4*f. What is j*c(z) - 7*a(z)?\nAnswer: 23*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 4:31 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5513*h**2*z**2 + 626*h*z**2 + h + 37568257*z**2 wrt h?\nAnswer: -11026*h*z**2 + 626*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705235 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48684079 is divided by 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from cywwytwvtcwvwwywcc?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -5*j + 33, -5*z + 87367*j = 87363*j + 30 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-10))\/(21\/(-78)) - -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107023760?\nAnswer: 2, 5, 157, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6598 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*-1)\/(2*sqrt(40)\/sqrt(5)) + ((sqrt(3) - (-1 + sqrt(12))**2) + sqrt(3))*-1 + -5*((sqrt(3) - sqrt(48)) + 4).\nAnswer: -7 + 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2355 plus 4?\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2694620 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 2108 + 158 = 0. List the prime factors of n.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8 and -23\/8348.\nAnswer: 16696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2222 + -2?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 1456 + 3*d**2 + 44*d**3 + 2*d + 1454 in the form c + y*d**2 + t*d + n*d**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 - 16*j**2\/3 + 6*j + 100\/9.\nAnswer: -2*(j - 2)*(j + 1)*(j + 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10.26*0.23\nAnswer: -2.3598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33934984, -67869968, -101804952?\n\"Answer: -33934984*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j**2 - 4*j + 2. Let h be z(2). Which is greater: h or 149\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 40 = 2*g + 3*g, -4*r + 50 = 3*g. What is the smallest common multiple of g and 40\/25*(-50)\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, k: 1, a: 1, j: 1}. Give prob of picking 1 t and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 + 4 + -4)\/(-1))\/(-1). Suppose -n - q + 1 = -69, -4*q + 16 = a. What is the lowest common multiple of 12 and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29130 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1354 is divided by 712?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 12:58 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5\/5 + 2406*o**4\/5 - 49113*o**3\/5 + 34152*o**2 + 498468*o\/5 + 276192\/5 = 0.\nAnswer: -822, -1, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1091\/1906?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w**3 - 76*w**3 - 55*w**3 + 193*w**3.\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 914 + 314. Is (r\/(-6))\/((-21)\/(-63)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 + 7*l**2 - 2*l - 4. Let d(a) = a**3 + a**2 - 1. Determine -4*d(w) + q(w).\nAnswer: -8*w**3 + 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - -57. Suppose 2 + 0 = 2*u. Calculate the remainder when v is divided by 2 - (u - 2*14).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n - 7. Let t be b(-16). Let w = t - 134. Solve 2*y + w*u = 8*u + 4, 5 = -3*y + 2*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(-2 + 6\/5). Let s = z - 5. Suppose -g = -s*g + 198. What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = -13*t + 67338. List the prime factors of t.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 110\/61827, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 25*z - 1114. Give l(40).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6432 (base 9) to base 6\nAnswer: 33515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 120 = -7*r. What is the remainder when (-1112)\/(-20) - (-1 + 8\/5) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/20966 and 2\/11.\nAnswer: 20966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**4*i*p**2 + 22619*g**4*i - 2*g*i*p**2 + 2*g*p**2 + i*p**2 - 2740*p**2 wrt g.\nAnswer: 24*g**2*i*p**2 + 271428*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*z - 38288 = -4*o + 56*z, -4*o = 2*z - 38312. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, x: 7, u: 2, r: 1}. What is prob of picking 3 x and 1 u?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*y + 0 - 26*y - 28*y as c*y + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 183 = 2*i, -2*i - q + 596 - 411 = 0. Calculate the least common multiple of i and 18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*q - 26 = 0, -y + 5*q + 9 = -10. Suppose 2*k - 3*n - y = 0, -4*n + 5 + 3 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.38772447 rounded to two decimal places?\nAnswer: 85.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15099655*u**5 - 18*u**2 - 244963 wrt u?\nAnswer: 905979300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349914 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-164)\/(-10) - 2\/5. Let z be (7\/(-2))\/(7\/42). Let f = z + 26. Solve h = f*h - l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 809*o**3\/3 + o - 2361. Let k(a) = a**2. What is k(w(s))?\nAnswer: 654481*s**4 + 1618*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + 6 + -1 + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*s - 519 + 165, -s = 0. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - ((2 - 3) + -2). Suppose 5*k + 2*o - 7 = 6, 0 = -5*k - o + q. What is the second smallest value in 0.2, k, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960738 divided by -3.\nAnswer: 320246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 78*s + 1000. Let x be g(-11). Solve 4*v = -f + x, 2*f = -59*v + 60*v + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-1*2 - -1). Let j = 11 - 6. Let w = j + -2. Sort -2, c, w in increasing order.\nAnswer: -2, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 5*p)*(5 - 2*p - 5)*(26*p**3 + 19*p**3 - 54*p**3 + 2*p).\nAnswer: 90*p**5 - 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 13. Let f(q) = -2*q - 27. Let a(u) = -177*u + 4785. Let k be a(27). Determine k*f(x) + 11*z(x).\nAnswer: -x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yphyhypyyph. Give prob of sequence hhpy.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.5587958 and -55289.\nAnswer: -55295.5587958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 63112.88nm?\nAnswer: 0.00000006311288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 7*o**3 + 565*o**4 - 197*o**4 - 174*o**4 - 2*o**2 + 2*o - 193*o**4 as r*o**3 + n*o**4 + q + x*o + l*o**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = -240. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9.6 (b) 0 (c) 3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8789500394 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-104)*39*14\/315\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v - 19 = -2*l - 21*v, l + 10*v = 32 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 45 + 33. What is the smallest common multiple of 18 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11077 and 15948548.\nAnswer: 303022412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z. Let t(j) = 10460*j - 2. What is s(t(h))?\nAnswer: -62760*h + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 2 - (-39 - (-10 - (3 + -21 + 10)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:46 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100100101 + -10100100?\nAnswer: -1001111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (11\/66)\/((3\/(-8))\/3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76406 and 13409?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*l + 17*l + 180. Suppose 118 = 4*a - 3*v, 0 = l*a - v - 207 + 65. Let a*o + 60*o**2 + 4 - 125\/4*o**4 + 25*o**3 = 0. Calculate o.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -327, -14, 2, -5, 0 in descending order.\nAnswer: 2, 0, -2, -5, -14, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 6*w**2 - 7*w + 9. Let o be s(6). Does 16 divide (2 + o\/12)*-64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3\/20, 0.3, -2\/9, -3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116909 by -116909.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26058246, 52116498, 78174750?\n\"Answer: 26058252*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ititittiittiittiit. What is prob of sequence ttii?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 20*x + 79 = 0, -769*x = -771*x + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313 + 117. Let f = d + 195.6. Which is the closest to 0? (a) 1\/6 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.2*4.5742\nAnswer: 46.65684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 9*a**2 + 6*a + 56. Let g be u(-9). Suppose 4432 = 5*j + g*r + 246, 5*r = 2*j - 1686. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {l: 8, f: 1, d: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251778381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose -9*d = -5*d + 20. Which is the third biggest value? (a) -2\/7 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d + 7*d + 0 + 0.\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 74. Let f be 1 + 69*i\/126 + -4. Find z, given that -f*z + 0 + 8\/7*z**2 + 8\/7*z**4 - 2\/7*z**5 - 12\/7*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*r = -2*n + 140, -4*n + r + 275 = 0. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 64281.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 + 2.413. Let l = 8304.175 + -8304. Let o = k + l. What is o rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from iiiiiiiiikiilliii.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + 2*o - 2. Let b be j(-2). Suppose 2*y = b*y - 24. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgag. Give prob of picking 1 l and 1 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 791*f**2 + 45652*f - 1182. What is a(54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6456770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253 - 242. What is the remainder when (m*9)\/((-9)\/(-6)) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmmyvmvmvyyv. Give prob of sequence vmy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -680.28 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 + 16*y\/5 + 66\/5.\nAnswer: -2*(y - 11)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23085 by -27.\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -713*c + 516*c - 10461*c - 10110*c in the form g*c + r and give g.\nAnswer: -20768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1038753493 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 225 - 130. Suppose -2*c + 6*c - 24 = 0. Suppose b = -f + c*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 30*y + 9*y = 102 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -200235, -800837, -1801847, -3203265, -5005091, -7207325?\n\"Answer: -200204*v**2 + 10*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 10:32 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -336 + 316 - 44*i + 49*i + i**2. Determine h(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 136*f + 1129 = -639 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00324 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6380861 divided by -114?\nAnswer: 6380861\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*z - 36*b**3 - 429*b**2*z - 20*b*z + 5356*z wrt b?\nAnswer: -12*b*z - 216*b - 858*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 - 36*s + 23. Calculate y(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2 + v**2 - 6*v**3 + 4*v**3 + 3*v**3 as h*v + y*v**3 + o + s*v**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/6, 6, 5, 2\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 2*f**6 - 32*f**5\/5 + 7*f**4 - 8*f**3\/3 - 8. Solve t(x) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358, -347, -348, -367, -410?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 29 + 49 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*c**2 - 17*c**3 - 34*c**2 - 2*c - 27*c**2.\nAnswer: -17*c**3 - 118*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/4*((-72)\/28 + 2). Is q <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -9*j + 820. Suppose 0 = 2*k + 3*i - 37, 5*i - 4*i = -5. What is the greatest common factor of k and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 1 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = -f - 2*o, -12 = -3*o. Suppose 5*m - 23 = f. Suppose -m*h - 2*h = -455. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 5*b - 5. Let z(v) = 2*v**3 - 11*v - 11. Suppose 3*u + 6 = 5*u. Let j be -2*3*1 + u. What is j*z(a) + 7*w(a)?\nAnswer: a**3 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 5, 4, 2, 312 in increasing order.\nAnswer: -2, -1, 2, 4, 5, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -39*x - 2*x**2 + 12 - x**2 + 30 = 0?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 22*c**2 + 86*c - 2. What is the remainder when 535 is divided by a(17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-28)*(-35)\/(-60).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 18 = -19*s. Let y(n) = -n**2 - 9*n - 10. What is the units digit of y(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/(-160)*1039*(-10)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -166*j + 112711. What is v(679)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -12 in decreasing order.\nAnswer: 7, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 - 1. Let p(b) = -b + 11. Let r be p(2). Suppose r*s - 5*s = 4. Give i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.945 - -0.055. Put 3, 2, j in increasing order.\nAnswer: 2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -25\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76444, -76427, -76400, -76363?\nAnswer: -76316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 7*h**5\/15 + 11*h**4\/3 - 37*h**3\/9 - 7*h**2\/3 + 58. Factor u(c).\nAnswer: c*(c - 1)*(c + 7)*(7*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 + 330*w - 680 = 0. What is w?\nAnswer: -68, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/9 + 10276*p**3\/9 - 567886*p**2\/9 - 3929830128*p + 2632521153312 = 0. Calculate p.\nAnswer: -3541, 972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165 - 166. Let q = -1 + -4. What is the second smallest value in q, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-180)\/(-270)*(21377\/2)\/(2\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 260 = 2*h, 2*h - 6*h + 524 = 4*l. What is the greatest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 19883 = 19964 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 180 = -28*h + 31*h, -5*h + 5 = 0. Calculate the highest common divisor of m and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 30 = 10*n. Suppose -n*u + 4278 = 3*w, 8*w = u + 7*w - 862. What are the prime factors of u?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t - 2. Suppose -5*z + 29 = -2*q, 5*z - 15 = 5*q + 4*z. Let j be (100\/125)\/((-3)\/((-15)\/q)). Let s(o) = 36*o - 15. Calculate j*s(r) + 15*f(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12221 (base 6) in base 14?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = -j - 0*m, 3*j + 2*m = -2. Let x(c) = -c**j - 10 + 10. Let s(h) = h**2 + 3*h. Let r(a) = -2*a. Let k(d) = -3*r(d) - 2*s(d). Determine k(x(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1864405 (base 12) to base 14\nAnswer: 96da05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 824529 or -18\/7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 53*j**2 - 176*j - 443. Let l be u(-56). Suppose w + p = 3*p - 1, -p = 2*w - 18. Let o = -7 + w. Put l, 6, o in increasing order.\nAnswer: o, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -168\/5 + 1\/5*j**2 + 13\/5*j = 0.\nAnswer: -21, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 160, 346, 564, 808, 1072, 1350, 1636?\n\"Answer: -x**3 + 22*x**2 + 127*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*s - 4*u, -5*u = 4*s - 19 - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 + -1.67. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133220122 (base 4) in base 10?\nAnswer: -391706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (6 + -4 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 389575 divided by 3\nAnswer: 389575\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 36 = -2*v, -5*v = 4*g + 31 - 103. Suppose -8*s - 40 = -v*s. Suppose o - s*o + 356 = 0. List the prime factors of o.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4766, -18, 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 6 - -3 - 22 - 34?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 3, 0, -21.\nAnswer: -21, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 2*i**2 - 5*i + 5*i)*(-118 - 73*i + 118).\nAnswer: 146*i**3 + 365*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 647832 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3790758 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l - 7. Let y be k(-3). Suppose 66941 = -x - 3*b - 19054, 2*x - y*b = -172001. Let p be 1 + (2 - 1) - x. Round p to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*f**3 + f**2 + 15 + 15*f**3 - 35*f**3 - 3 to a*f + d*f**3 + j*f**2 + x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + -21 - (114 + -152)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -356*r + 3. Let b(h) = -149*h**2 - 16*h. Calculate p(b(i)).\nAnswer: 53044*i**2 + 5696*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77927721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**5\/5 + d**4\/24 - d**3\/6 - 1506*d**2. Let s(o) = 37*o**2 - 4*o + 3. What is -7*g(p) - 2*s(p)?\nAnswer: 10*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -99306 + -0.53?\nAnswer: -99306.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qof when three letters picked without replacement from rfqqqflqqfoq?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 415332 = 503796. Suppose c = 6*r + 8*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 8:46 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56)\/sqrt(63))\/(sqrt(36) + -2*sqrt(36) - sqrt(4))*-5 + -5)*-4)**2.\nAnswer: -200*sqrt(2)\/3 + 3650\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5697624 divided by -19.\nAnswer: -5697624\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100405 - 100?\nAnswer: -100505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 + 9690\/60. Suppose -6*f = -j - 564. Is f a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49791801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 62282.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2046 = 139938*d - 139907*d for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99255 is divided by 526?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261493147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 332 - 329. Suppose 2*d - 3*l + 1 = 2*l, 4*d - p*l = 5. Solve -d = 3*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/11 + 22096*k**2\/11 - 88408*k\/11 + 88416\/11 = 0. Calculate k.\nAnswer: -11052, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 112 - 9*h**2)*(2*h + 0*h - h)*((0*h - 2*h + 0*h)*(2 + 4 - 4) + 6 - 6 - 3*h).\nAnswer: 63*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066 a factor of 252733780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82.1 + 82.3. Let l = -0.39 - 0.54. Let s = l + 1. Which is the biggest value? (a) s (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28832034\/(-554321) + (3 - -49)?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5*(-30)\/180?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -107 + 109. Solve -s + 24 = -5*p, -a*p - s = p + 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, -7, -22, 2, 4 in increasing order.\nAnswer: -22, -12, -7, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j, 4*h + j + 9 - 25 = 0. Which is the biggest value? (a) -0.3 (b) -1\/5 (c) 0.01 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - v - 49 + 95 + 564*v**2 + 475.\nAnswer: 564*v**2 - v + 497","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 19. Let t be l(-7). What is the greatest common factor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00041641187 to 5 dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 3*h + 11 = -5*x, 2*x - 4*h - 4 = 0. Suppose -281 = -x*i - t, 5*t - 4*t + 139 = 2*i. Let d = 73 - i. Solve 0*a - 3 = d*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljlqaqatjmjj. Give prob of picking 1 l and 2 a.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1539061 - -46356609.5.\nAnswer: 47895670.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = -s + 1879. List the prime factors of s.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10068 - -11252. What is the highest common divisor of 160 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7692948 by 15732.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 317108627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*g - 4*v, v = -30*g + 34*g - 53. Solve 0 = -3*c + 2*k + g, 20 = 5*c + 25*k - 23*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 1 - (-3)\/(-3). Let o = 7 - k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-240)\/50)\/((-2)\/30). Suppose 0 = -n + 2*n - 48. What is the greatest common factor of n and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-288)*(-90)\/60.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 o, and 1 g when four letters picked without replacement from ioujg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (1 - (6 + 7 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 + 66 - 37) + (0 + 0 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -362 * 0.45\nAnswer: -162.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7.8+0.1534739353\nAnswer: -7.6465260647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 8*f + 2. Give o(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k**5 - 6*k**3 - 6. Let w(n) = n**5 + n**3 + n + 1. Let c(u) = -6*w(u) - y(u). Find the second derivative of c(z) wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*((3*sqrt(3) - sqrt(3))**2 + -2) + (1*sqrt(135)\/sqrt(5))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(-1 + (sqrt(1216)*1 + 5)**2).\nAnswer: -2480 - 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284 and 15833.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 8. Let p(u) = 8*u + 33. Let x(a) = 9*o(a) + 2*p(a). Let k(f) = 5*f**3 - f. Let g be k(-1). Determine x(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 13140.221.\nAnswer: -26280.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 200 = 5*m + 40, 2*k - 3*m - 44 = 0. Suppose k*b - 33848 - 16580 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 14*c = 0. Suppose c = 3*j - 13 + 43. Sort 1, 2, j.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**4)\/g)\/g*g*g*g\/g**(-5\/2)*g assuming g is positive.\nAnswer: g**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (sqrt(396) - (sqrt(396) + sqrt(396)*1 + sqrt(396))*-3) - sqrt(396))\/(-1*sqrt(81)) + (1*sqrt(1375) - sqrt(55))\/(1*-1*sqrt(5)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45213? (a) -0.5 (b) 4 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 370456 and 7131278.\nAnswer: 28525112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 59704.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -60*k**3 - 2*k**2 - 3*k + 13. Let t be m(2). Let h = t - -483. Solve 3*x + 17 = h*a, -5 - 1 = -a + x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (2 - 43) - 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1955 and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-70)\/4)\/(3\/(-6)). Suppose -29*t = -n*t + 18. Suppose w + 4 = 12. Solve -a + w = -t*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1220 (base 5) to base 14\nAnswer: -d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times 102\nAnswer: 234.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-4)\/(-32)*8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468341395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 361 from 7273300190.\nAnswer: 7273299829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064406 to the power of 1\/2, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300456323 and 32308?\nAnswer: 8077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 + 2*a - 9. Determine l(6).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 15\/2*q**3 + 3*q + 21\/2*q**2.\nAnswer: 3*q*(q + 1)*(5*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - i = 27, -2*r = 3*r + i - 45. What is the units digit of ((-260)\/6)\/((-6)\/r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -11 - 19. Suppose v = 2*n - 2. Suppose -n = -q - 0, 0 = -p + 2*q - 4. Calculate the smallest common multiple of p and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1872.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1534 + 1538. Let u(p) be the third derivative of 1\/70*p**5 + 0*p + 0*p**w - 1\/490*p**7 + 0 - 6*p**2 + 0*p**6 - 1\/14*p**3. Factor u(h).\nAnswer: -3*(h - 1)**2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 23, 4, -35, -100?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a**3 - 5*a**2 - 25*a - 22. Calculate j(-3).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41, 49, 71, 113, 181?\n\"Answer: x**3 + x**2 - 2*x + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 7\/2*q**2 + 0*q**3 + 0*q**5 + 1\/6*q**6 + 0*q + 0*q**4 - 1. Find the second derivative of f(m) wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.046 - -0.105. Let p = o - 3.059. What is the second smallest value in 0.04, p, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 207571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6 = 10, q = 5*z - 16. Let h = -61718 - -61717.8. Which is the nearest to 2? (a) -3 (b) q (c) h (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 2*c - 7. Suppose 15*a = -8*a. Calculate s(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 324564 - 8494. Let h = r + -25606. Suppose 5*q = -20, 4*c = -0*q - 2*q - h. What is c rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6*q - q - 7*q + q**4 in the form a*q**2 + t*q**4 + b + o*q + w*q**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 9:26 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246 + 97 + -21 + 108.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 405*i - 37. Let u(z) = -66*z + 7. Determine -4*d(o) - 22*u(o).\nAnswer: -168*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - u - 11, -l - 25*u - 631 + 601 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/21 and (137\/(-1644))\/(20\/(-744) - (-2)\/6).\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 718?\nAnswer: 17\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -6*n + 12. Suppose 0 = 2*c + 4*j - 7*j - 14, 3*j + 15 = n*c. Let w(x) = 4*x**2 - x. What is w(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 26. Calculate the remainder when 17 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 - (-28 - (-1 + -11 - (580 + -569)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 968\/(-1210) - 192\/(-275) - 4\/50. What is the biggest value in 0, k, -2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -614, -2465, -5556, -9893, -15482?\nAnswer: -22329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -d - 3*y + 5*y, -5*d - 780 = y. Let i = -154 - d. Solve -i = 5*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 6. Let w = -16285 - -16273. Give g(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:30 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.5 + -6. Let y = -0.5 + -0.5. What is the closest to y in 0, v, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -0.46 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-532 + 328 + 1338)*(-3*c + c + c) as g + d*c and give d.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 37 = 9*x. Sort x, -3, -0.2, -2 in increasing order.\nAnswer: x, -3, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7843233 and 34163.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56 in -0.4, 22, -1\/18, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/12450 and -67\/6.\nAnswer: 12450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 2*g. Suppose 0 = -c - 0*c + 290. Let y = -8989\/31 + c. Do g and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17593603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/869 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42\/5 - -8. Which is the closest to 1? (a) -5 (b) f (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + w - 2. Let t be g(-2). Let i = t - -7. Let r(f) = -17*f - 17. Let q be r(-1). Put 5, q, i in decreasing order.\nAnswer: 5, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/19288 (b) 1\/4 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178636264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2938.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*a**2 + 4*a**2 + a**2)*(-1 - a**2 + 1) + a**4 - a**4 + 2*a**4)*(5 + 1 - 4).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k - 2. Let w(l) = 24*l - 10. Calculate 14*d(y) - 3*w(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 123263, 123266, 123271, 123278?\n\"Answer: s**2 + 123262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 1)*2\/(-3). Find the third derivative of -3*d**6 + 3*d**z - 2*d**6 + 2*d**2 wrt d.\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - -26) + (15 + -7 - -5) + -96.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0758*-27970.1.\nAnswer: 2120.13358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -19009*y**3 + 8*y**2 + 2*y - 11. Suppose -4*v - 5*n = -29, 0*v - 7 = -2*v - 5*n. Let j be g(v). Round j to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-256)*4)\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1850 by 925.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 344066 + 1631?\nAnswer: 345717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*x - 23 + 11*x**4 + 25 - 20*x + 9*x**3 + 2*x**2 + 35*x as f*x**3 + j*x + q*x**2 + l*x**4 + v and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -186*p - 44*p - 372*p - 97*p - 9*p in the form t*p + i and give t.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, -362, -365?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6058*i - 12404*i + 4933*i as q + g*i and give g.\nAnswer: -1413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 49. Suppose 2*u - 3*w - 15 = 0, 5*u = 3*w - w + 32. Let y = f + u. What is y rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009998 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05355805377 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 776414*d - 776414*d. Let r be (-6)\/(-4)*20\/15. Let k(g) = -g - r*g + g. What is u(k(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-5 + -3 + 4). Let f(l) = 7*l**2 + l - 1. Let m be f(b). What is the third smallest value in 0.5, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-18)*h*h*h*h\/h**(2\/11))\/(h*h**(-8)*h*h**(-16)) assuming h is positive.\nAnswer: h**(86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 110010111100111 (base 2) to base 3\nAnswer: 1022210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 257 = 35*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1303597093 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72969274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7339002.72 to the nearest 10000.\nAnswer: -7340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*l, -3*f = 30*l - 27*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = -i - 8, 3*a - 3*i = 15. Suppose 0 = 4*r - a + 2. Is r\/3*(-6252)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -2714.\nAnswer: -63\/2714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 5*t - 2. Suppose -2*h = h + 21. Let a be u(h). Let o = -37 - -85. What is the greatest common divisor of o and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9268 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: How many minutes are there between 12:13 PM and 7:22 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:21 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15*j = -500. Let u = -1263 + 1613. Calculate the greatest common divisor of u and j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 6, h: 9, b: 1, x: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -340*g**3 + 5564*g**2 + 39280*g + 14800 = 0.\nAnswer: -5, -2\/5, 370\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/11 - 14*q**4\/11 + 516*q**3\/11 - 1444*q**2\/11 + 1406*q\/11 - 42 = 0.\nAnswer: -21, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*w - 525*i**2 - 3*i + 80*w + 56 with respect to i.\nAnswer: -4*i*w - 1050*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3635944 and 26?\nAnswer: 3635944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66832577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/((-7)\/(7\/2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*w - 4*v - 49, -w + 23 = 3*v. Let g(j) = -j**3 + 6. Let l be g(0). Differentiate -y + w - l - 9 wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*q, 5*q - 9*q + 4*u = 0. Suppose -3*o - 3*c + 18 = q, 5*o + 6*c - 3*c - 22 = 0. Solve 13 = -3*l + o*b, -l = -5*b - 0*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-1 + 7)\/(-2). Sort 0, -1, n.\nAnswer: -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.644*-0.02\nAnswer: 0.15288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 440, 8, -2, 2, -5, 12 in increasing order.\nAnswer: -5, -2, 2, 8, 12, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131\/7 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.904 - 2.274. What is i rounded to 1 decimal place?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**15\/p)*p*p**12*p*(p**(1\/2)\/p)\/(p*p**(-1\/11)\/p) assuming p is positive.\nAnswer: p**(13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 216158 < 216172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-5))\/((-76)\/(-380)). Let b(v) = 12*v - 14. Determine b(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.1 (c) 1\/7380 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -23. Suppose 0 = d - 2*d + k. Solve q - 4*h = -4*q + 35, 0 = -5*q - h + d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 24264*b - 72795. Calculate c(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 18\/(3\/(-1)). What is the third biggest value in a, 5, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773966?\nAnswer: 2, 37, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*d - 3*y - 34, 3*y - 46 = 643*d - 648*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/914 and -85\/96508.\nAnswer: 44104156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282399 and 3?\nAnswer: 282399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.0143 (c) -2954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 35883 + 72138 - 36255.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from {t: 8, n: 5, q: 1, r: 5}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85589839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z. Let b be r(-1). Suppose 5*l = b*h + 25, -5*l - h + 25 = 2*h. Suppose -l*f + 97 = -23. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00279634 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4829*u**2 - 2410*u**2 - 2423*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:08 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2505.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.707262 months to millennia.\nAnswer: 0.0023089385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(931)*4 + sqrt(931) - sqrt(931)) - (sqrt(19) + -3 + sqrt(152)\/sqrt(8) - sqrt(19))*1.\nAnswer: 3 + 55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 408 or 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242 - -187 - -59) + (-2 - (31 - 1)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115 less than -155199?\nAnswer: -155198.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**3 - 6 + 7*k + 0*k**2 - 1\/2*k**4. Differentiate v(x) with respect to x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1553, -1558, -1567, -1580?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, 1\/5, -343, 0, 5, -2\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 12*v**2 + 1150*v + 3344. Calculate s(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -97) + -9 + 44 + -39?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 693 and 179613.\nAnswer: 1975743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -2\/77 (c) -22 (d) 4.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -99*r + 822. What is the least common multiple of 18 and z(8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -33. Let b = s - -31. Let j = 34 - b. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-25)\/276675)\/((-1)\/6). Are f and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3 - 1. Is (-2 - (u + 2))\/((-5)\/8885) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 70*n**2 - 1288*n - 1288. Calculate b(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - x**2 + x + 1. Let m(o) = o**2 + o + 1. Let r(g) = 7*g**3 - 8*g**2. Let v(j) = -4*m(j) - r(j). Determine -4*a(l) - v(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Let t be 674\/(-10) + h\/10. Let k = -44 - t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -174, -169, -160, -147, -130?\n\"Answer: 2*b**2 - b - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.0682849\nAnswer: -0.5682849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195.939436509 + -5.\nAnswer: -200.939436509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10624 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**4\/12 + t**3\/6 + 9*t**2\/2 + 48*t. Suppose q = 6*q - 20. Let g be k(q). Put 3, -4, g in ascending order.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*c + 36384 = 203*c + 1620*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*185.30621\nAnswer: -74.122484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127722, -127723, -127724?\nAnswer: -127725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 2357768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -130*c + 305. Give j(5).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d222d0 (base 14) in base 2?\nAnswer: 110111101101011101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 1\/2, 0.98.\nAnswer: -4, 1\/2, 0.98, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -19*x - 19. Let k be i(6). Let w = k + 136. Solve -w*h = -3*f - 27, 4*h - 40 = -0*f + 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 13*o**8\/112 + o**5\/30 - o**4\/4 + o**2 + 31. Find the third derivative of f(t) wrt t.\nAnswer: 2340*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43853 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75099.86nm to meters.\nAnswer: 0.00007509986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-32)*38\/95?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/33044 and -61\/8.\nAnswer: 66088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**3 - 173*h**2 + 8010*h + 146. Give j(-88).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 22 - m**5 + 6 + (-1 + 1 - 2*m**3)*(-m**2 - m**2 + m**2).\nAnswer: m**5 + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 33 = -l. Let d(m) = -m**2 + 3*m + 3. Let z(j) = -6*j**2 + 18*j + 17. Let f(v) = l*d(v) - 6*z(v). Factor f(g).\nAnswer: 2*g*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 + 109*y - 1366. Let i be o(9). Put -3, -12, 0.2, 2\/9, i in descending order.\nAnswer: i, 2\/9, 0.2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 5*x**2 - 4*x + 2. Let j be (-1)\/(4*3\/12). Let z be 1\/(4\/16)*j. What is d(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 119*m - 284. Let k be a(57). Put -2, 103, -5, k in increasing order.\nAnswer: -5, -2, k, 103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211355413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Suppose -7 = -3*d + g. Put 0, -5, d in increasing order.\nAnswer: -5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106198.\nAnswer: 2, 29, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-7) - (-2)\/(-21)*9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -14 - (4 + -1) - 16?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0104760502 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 208468079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1269*n**3*q**3 - 43356*n**2*q**3 - 1350185*q**3 - q**2 + 46 with respect to n.\nAnswer: -3807*n**2*q**3 - 86712*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j - 2*j)*(-55 + 27*j + 55).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**3\/18 + 29*p**2\/12 + 31*p\/3 + 1475. Factor k(s).\nAnswer: -(s - 31)*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4374\/11, -0.5, 3, -1\/6, -0.2, 1.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14*k**3 - 3*k**2 + 3*k + 3. Let h be t(2). Let r = h + -19. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 420 + -247. Suppose -253 = -3*q + 2*h - 3*h, -2*q + s = 5*h. Suppose 2*l = 5*l - q. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 16518040 = -2571830. Let p = 1131645 - u. Round p to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20939997 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/10)\/(-1)*5. What is the remainder when ((-16)\/j)\/((-1)\/63) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16381\/30 or -546?\nAnswer: -546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose 3*y + 2*q + 7 = 0, -5*y + 29 = -y - 5*q. Which is the closest to -1? (a) y (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = 3*m. Suppose -v - 2 = -4*b - m*v, -4*v = 3*b + 6. Let o = 2 + b. Solve 3*z - 3*w - 15 = 0, o*z - 17 = 2*w + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3 + 6 - 1 - 3. Suppose 2*x - 17 = -3*h, 2*h + x - 14 = -3*x. Let r(b) = 4. Let u(g) = h*w(g) + r(g). Let p(i) = -2*i. Determine -p(f) + u(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 911906, 911962, 912016, 912068, 912118, 912166, 912212?\n\"Answer: -g**2 + 59*g + 911848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2. Let f(o) = 9*o + 1. Let z(i) = -15*i**2 + 27*i + 3. Let s(t) = -3*f(t) + z(t). Determine s(v(b)).\nAnswer: -240*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*w**3 - 22814614*h + 11*w**3 + 1434*w**2 - 58*w wrt h?\nAnswer: 2*w**3 - 22814614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54709491341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 3. Let v = 2121 - 2121.4. What is the nearest to -26 in -3, d, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-3) + -1)\/(216\/(-324)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2. Let q(o) be the third derivative of o**4\/24 + 209*o**3\/3 + 53*o**2. Determine y(q(a)).\nAnswer: a**2 + 836*a + 174724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7575.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/26*(-22)\/44?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -26, -44, -68, -98, -134?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.5, 42, 2, -560, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 4. Let q(k) = 7*k - 4. Let n(w) = 5*q(w) + 6*u(w). Let t(h) = 3*h - 11. Determine -17*n(p) - 6*t(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -64. What is the remainder when 75 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500396.\nAnswer: 2, 13, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 25*v**7\/168 + v**6\/24 - v**5\/5 + v**4\/12 - 6*v. Factor b(d).\nAnswer: d**2*(d + 1)*(5*d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 8\/4080867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/55))**(-1\/2)*s**(1\/11)\/((s\/s**(-23\/5))\/s) assuming s is positive.\nAnswer: s**(-247\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/448 and 39\/560.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -5*a**7\/42 - a**6\/15 - a**4\/6 - 4*a**2 - 61*a. Find the third derivative of q(w) wrt w.\nAnswer: -300*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 0)*2*-805. Suppose 406 = r + x + 2*x, -4*r = 5*x - z. Round r to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 + 174. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34641126.\nAnswer: 2, 3, 13, 317, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412625 to the power of 1\/2, to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5455 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 6060, -11 in decreasing order.\nAnswer: 6060, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -11*s - 46. Solve -24 = s*r - 13*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396577477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/80)\/(231\/308))\/((-4)\/(-30))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -100872, -201753, -302638, -403527, -504420, -605317, -706218?\n\"Answer: -2*c**2 - 100875*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -656093 and -0.3.\nAnswer: 196827.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31401?\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -24.5. Let g = -2.5 + f. Let m = -0.5 + 1. Sort g, m, 0.4.\nAnswer: g, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 41*o + 367. Let s be y(-28). Solve s*f - 15 = -0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239.1 - -239. What is the third biggest value in -878, 3, t?\nAnswer: -878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z + 13*z - 8*z)*(z + 3*z - 7*z) + 3*z**2 + 2*z**2 - 3*z**2 as k*z**2 + g + h*z and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-2))\/((-5)\/30). Let m = c - -27. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 - 21*t**2 - 8*t - 28. Is x(-14) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/10 and (-535)\/(-91)*1 - (648 - 642).\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - 15 - ((48 - 44) + -10 + 4 + 3).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/15 - 1516*c**4\/3 + 2385504*c**3\/5 = 0. What is c?\nAnswer: 0, 1782, 2008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + 49 = 7*f - 68 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 4 + 0)*(-2 + 1 + 2) + 2 - 1 + 1)*(5*r - 19 + 19) to the form t*r + f and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*t + 1 = t, 4*u - 2*t = 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h - 4. Let x(g) = 20*g + 11. Let m(k) = -11*q(k) - 4*x(k). Let c(z) = -2*z**2. Give c(m(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (sqrt(85) - sqrt(85)*-2))*-3 - 6*1*sqrt(85))\/(-2*sqrt(45) - (sqrt(125) + sqrt(125)*1)).\nAnswer: 9*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/19 and -98 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41122 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2626 and 54960564.\nAnswer: 714487332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -2. Let b(k) = k + 7. Let y be b(p). Suppose 3*z - 2 = -5*q, -4*q + y = -5*z - 6. What is q rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2258452*g**3*z**2 + 56054153*g**3*z + g**3 + 3*g**2*z**2 wrt z?\nAnswer: 4516904*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384306 and 195702?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/25)*d*d*d)**(-27))**(-2\/123) assuming d is positive.\nAnswer: d**(1314\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.994 to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**7\/3360 - t**6\/360 + t**5\/96 - t**4\/48 - 13*t**3\/3 - 12. Let r(a) be the third derivative of g(a). Factor r(f).\nAnswer: (f - 2)*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-322))\/(33\/(-154))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35671 divided by 22\nAnswer: 35671\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -16*q**3 + 52*q**2 - 24*q + 4. Let b(f) = f**2 + 2*f - 1. Let u(v) = -8*b(v) + h(v). Factor u(a).\nAnswer: -4*(a - 1)**2*(4*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30\/91 + 85\/1638. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 246, 372, 500, 630, 762, 896?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/8)\/(3\/(-30)). Suppose 7*b - 130 = g*b. What is the highest common factor of 26 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.398 - 3.798. Sort -0.074, -7, j in increasing order.\nAnswer: -7, j, -0.074","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3101, -3342, -3497, -3518, -3357, -2966, -2297?\n\"Answer: 8*g**3 - 5*g**2 - 282*g - 2822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633494?\nAnswer: 2, 73, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**2*u*y**3 + 21*r**2*u*y + 11030*r**2*u + 3*r**2*y**2 + 689558*r*y**3 wrt y?\nAnswer: 12*r**2*u + 4137348*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 + -69. Let m be 438426\/759 - 4\/(-11). What is the highest common factor of l and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -97*l**2 - 52. Let v(m) = -m**2 - 8. Give 9*v(x) - z(x).\nAnswer: 88*x**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o + 42. Let v be r(-10). Solve -4*x + v = -6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -139680.19 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102020 (base 3) to base 15\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azyyyyazzal. What is prob of sequence ly?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3924 * -0.14579.\nAnswer: -572.07996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k. Let v(i) be the third derivative of i**5\/12 - 5*i**4\/12 - i**3 - 16*i**2. Let b(l) = 4*q(l) - v(l). Let p = -67 - -73. What is b(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 16. Let o be r(8). Suppose 0 = -3*f - 1 + 7. Suppose f*g - g - 129 = o. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2340740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than 683339?\nAnswer: 683351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/6*(-18)\/15. Let z = s + 97. Is z a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-600)*30*(-5)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -243*w**8\/28 + 3211*w**5\/20 - 11355*w**2. Find the third derivative of s(k) wrt k.\nAnswer: -174960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 724716.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 9*m**2 - 10*m + 3. Let b be z(-10). Let n be ((-90)\/15)\/(b\/(-4)). Suppose 5*c - n*c = -39. What is the remainder when 62 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 331*v**2 - 391. Let g(y) = -4*y**2. Give x(g(t)).\nAnswer: 5296*t**4 - 391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = s - 2*f + 8, 2*s + 2*f - 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -241*s**7\/70 + 149*s**4\/8 + 9*s**2 - 18. What is the second derivative of g(y) wrt y?\nAnswer: -8676*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2 - 212*c = 0. Calculate c.\nAnswer: -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}