{"text":"Question: Let p be 10\/15*(22\/4 + -1). Sort 2, p, -5.\nAnswer: -5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 43*r**2 - r - 6. Calculate the remainder when s(-3) is divided by 96.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 832 - 830. Solve 0 = -5*b - h - 17, -2*b = -3*b - h - c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 3*t - 5*t + t**2 + 0*t. Let r be a(4). What is the highest common factor of r and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21.9 times -1088\nAnswer: -23827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((-5*sqrt(110)*-1)\/sqrt(10))**2.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -4*p**3 - 3*p**2 - 3*p. Let x be m(-2). Let q = -4 + x. What is the least common multiple of ((-32)\/(-10))\/(69\/(-15) + 5) and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29505 = 10*n - 13185. Suppose 0 = -16*q + n + 7011. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45*n - 1040 + 1040)*(-10*n - 18 + 18).\nAnswer: 450*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1158.21 - 1.6?\nAnswer: -1159.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + 4*c**2 - 4*c + 5. Let d be q(-5). Suppose 10 + d = 2*b, v + b = 58. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/sqrt(6))\/sqrt(5) - sqrt(6)\/(sqrt(3) - sqrt(48)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -5 + 18 + -3 - -2. Suppose 18*i - 216 = o*i. What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -641 - 2741632\nAnswer: -2742273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 6951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 336*r - 19. Let j be m(-2). Let n = j - -1224. List the prime factors of n.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -627 and 161984.\nAnswer: -101563968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*o**2 + 98*o**2 - 57*o**2 - 9*o**2 + o.\nAnswer: -14*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 4*l**2. Let o(f) be the third derivative of 0*f**3 + 0*f**4 + 0*f - 1\/30*f**5 + 0 - f**2. What is o(c(v))?\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000022103 to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 3*i**2 + 427*i + 17429. Determine s(-58).\nAnswer: 2755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -55*w**3 - 1065*w**2 + 7870*w + 3000 = 0.\nAnswer: -25, -4\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3578 or 14313\/4?\nAnswer: 3578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 + 13*a - 24. Let u be r(11). Is 5 a factor of 366\/(-4*u\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 1\/(1\/4). Let a(c) = -c**3 + 4*c**2 - 2*c + 4. What is a(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 627539.2ng to tonnes.\nAnswer: 0.0000000006275392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-18))\/(8\/72).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/11?  (a) 0.3  (b) 0.07  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 107143175 divided by -103?\nAnswer: -1040225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6 - 7 - (-2)\/6. Let v be ((-1)\/1)\/((-3)\/(-3)). Is w at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -263 - 62?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - s + 2*f - 1734 = 0, -2*s = 3*f - 698. Calculate the remainder when s is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 - 16*d - 32. Give j(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**25*z*(z\/z**(-1\/4))\/z*z*z assuming z is positive.\nAnswer: z**(113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 791.4 + -791. Let i = -6 + 1. Let q = -4.6 - i. Which is the nearest to r?  (a) q  (b) 4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**33\/((d**(-13)*d)\/d)*(d*d*d\/d**43)**(-2\/21) assuming d is positive.\nAnswer: d**(1046\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*u + 6 = -4, -5*i + 3*u + 50 = 0. Let a(n) be the first derivative of -n**2\/2 - 4*n + 5. Calculate the smallest common multiple of i and a(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 - 43. Let j = m - -27.052. What is j rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (123\/(-24))\/1\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 3*d**2 + 3*d - 3. Let w(v) = -6*v**2 - 5*v + 5. Let f(h) = -5*j(h) - 3*w(h). Let t(s) = -s**2. Calculate f(t(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -24*b**2. Let l(u) be the third derivative of -u**5\/60 + u**4\/3 + 103*u**2. Let s(k) = k**2 - 3*k. Let a(j) = 3*l(j) + 8*s(j). Give g(a(w)).\nAnswer: -600*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 AM and 1:23 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 478 = -2*u - 92, -u + 4*r + 217 = 0. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 7:43 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -704*k**5 + 71840*k**4 - 1904588*k**3 + 3658868*k**2 - 1476800*k + 170000 = 0. What is k?\nAnswer: 1\/4, 17\/11, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 33 and 0.16523?\nAnswer: 5.45259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 6, -5, -42, -117, -242?\n\"Answer: -2*m**3 - m**2 + 6*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 2 - (0 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2407*q**3 + 206*q**2 + 3*q wrt q.\nAnswer: -14442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4520507 - 11?\nAnswer: -4520518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-92)\/(-69))\/((-2)\/(-3)). Suppose -8*t = -12*t + 56. Let z = -16 + t. Is z at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -6*w**2 - 5*w + 7. Determine m(3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 9551592, 19103181, 28654770, 38206359, 47757948, 57309537?\n\"Answer: 9551589*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -4*g - 2*u, -4*u + 3*u = 5*g - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*c)*(1 + 0 - 3) + 4*c - 6*c + 0*c + (c - 2*c + 0*c)*(17 + 13 - 9).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17779175.\nAnswer: 5, 29, 137, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15994 + 16007. Solve -n*v = 146 - 198 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17.4 - 18.4. Let n = 3 + -2. What is the smallest value in n, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = h + 2*y + 1, 0 = -3422*h + 3425*h + 5*y + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 - 4*p + 3. Let d be x(7). Let b be (-1)\/6 + 100\/d. Suppose -5*t + 4 = -21. Solve -2*n - 13 - 5 = -t*o, 4*o + b = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/15 - (-4002)\/15. Let r = d + -160. What are the prime factors of r?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -624651594 divided by -18934?\nAnswer: 32991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 7*c**2 + 2*c + 2. Let u be l(-7). Let o = u - -20. Is (-372)\/o*(-2)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1\/221, -1763, 0.4, 3\/5 in descending order.\nAnswer: 3\/5, 0.4, -1\/221, -4, -1763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(1700) + 0 + sqrt(1700) + sqrt(1700)) - -3*(sqrt(17) + 1)*3)**2.\nAnswer: -1998*sqrt(17) + 209538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.7 - 1.52. Suppose 50 = -19*r + 9*r. Which is the second biggest value?  (a) 3  (b) r  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51, -24, -227, -624, -1281?\nAnswer: -2264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3591855310 to the power of 1\/4, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/3 + (-10)\/(-3). Let m = l - 0. Suppose m*h + 285 = 3*x, -5*x = 3*h - 347 - 96. What is x rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 24*t - 1. Suppose -27*h = -22*h - 445. Calculate the remainder when h is divided by f(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 81 + 480\/(-560) + (-624)\/(-42) + -2?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -5*v - 1460. Let a(i) = -10*i - 2915. Calculate 2*a(j) - 5*n(j).\nAnswer: 5*j + 1470","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + 24 + -5 - (-1 - 1) - -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 160669*r - 160665*r = 59, 2*w = -r - 8 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 4*k = 30. Suppose 5*i + k - 26 = 0. Do 5 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 498*h. Let r(y) = 27*y**2 - 2. What is r(p(g))?\nAnswer: 6696108*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -74 + 72. Let c be 0*1\/3 - 44\/f. Let o = 27 - c. Solve -o*l + 8 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/28 and ((-54)\/24)\/(1\/40*-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 108 and 948.\nAnswer: 8532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 2. Which is the closest to z?  (a) -0.2  (b) -5\/2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5104170.\nAnswer: 2, 3, 5, 56713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(448) - 2*sqrt(448)) + 2)*-4)**2 + 3*(-1 + sqrt(1008)\/sqrt(9)))*6 + 4.\nAnswer: -3000*sqrt(7) + 43378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yjddjdjdjdyjy. Give prob of sequence jyjy.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 1 + 4 + 5*v + 1 - 4*v. Let r be c(-8). Let p = 6 - r. What is the remainder when 29 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*h - 4 - 4*h - 3)*(-3*h**4 + h**4 + h**4).\nAnswer: -7*h**5 + 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u**6*u**6*(u**7\/u)**22 assuming u is positive.\nAnswer: u**145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -15. Let f(k) = -k**2 - 7*k - 7. Let o be f(p). Let n be o\/(3\/6) - -1. Sort -2, 0, n in increasing order.\nAnswer: -2, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*((-530)\/(-960))\/53\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fhfifiiihhhh. What is prob of sequence iihi?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 252 = -2*a, -5*a = -3*z - 4*a + 188. Suppose -4*c - z + 306 = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125.5003 times 6?\nAnswer: 753.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14*1 + (33 - 37). Calculate the highest common factor of k and 1100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28 in -118, 3\/7, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 60b - 5?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*n - 7*n + 93*n**3 - 91*n**3)*(5*n - 3*n - 4*n).\nAnswer: -4*n**4 + 38*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/2966484 and -139\/19092.\nAnswer: 109759908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1510 a factor of 6033960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 1:59 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-1)*29*2*4\/(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*y - 1 + y + 3*y - 3*y - 1 to the form o*y + t and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -286451, -286467, -286493, -286529, -286575, -286631, -286697?\n\"Answer: -5*r**2 - r - 286445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 260996071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - 1*-12*(-44)\/(-110).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + d = -f + 15, 4*d + 10 = 2*f. Solve -f = 5*w, 3*j + 0*j - 2*w - 14 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -96.36 + 96. Let y = -1.25 - -2. Let g = y + b. Which is smaller: -1\/3 or g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6389916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -452 + 410571008.\nAnswer: 410570556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -14 + 4. Suppose 2*q = -4, -9*q - 12 = -2*c - p*q. Solve -c*l - 15 = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/2)\/((-1)\/(-6)). Let k(j) = j**3 - j**2 - 3*j. Is k(g) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 PM and 10:24 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 102 and 19227?\nAnswer: 38454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*f - 1. Let r = 9 - f. What is the greatest common factor of 44 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 7034, -3, 150, -1, 2, -5.\nAnswer: -5, -3, -1, 2, 4, 150, 7034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -316428618 + 5?\nAnswer: -316428613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -851 and 10.\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 at least 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of w**5\/60 - 7*w**4\/24 + 7*w**3\/6 - w**2\/2 + w. Let c(q) be the first derivative of d(q). Is c(8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 3*i + 1. Let y be d(-3). Let p be (-3)\/(2\/(-2)*y). Suppose 9 = 3*g + p. What is the remainder when 4 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u**3 + 10*u**2 - 10*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -46, 51, -5, -107, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do -29161 and -29160 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 29*a**3 + 10*a**2 - 120*a + 30*a**3 - 54*a**3 = 0.\nAnswer: -6, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -4.68, -7, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2501165 (base 9) in base 8?\nAnswer: 5136224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + 6 + 3 + -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (96\/120)\/((-4)\/(-30)). Let m(z) be the third derivative of 1\/2*z**3 - 1\/60*z**5 + 0 + 3*z**2 + 0*z + 7\/24*z**4. Give m(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -88*f + 25. Let l be i(-2). Calculate the common denominator of l*(-1)\/(-324) + (-15)\/(-20) and -1\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12439212, 24878424, 37317636, 49756848?\nAnswer: 62196060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -917*n**2. Let m(d) = -d. Calculate q(m(f)).\nAnswer: -917*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 4 + 80. Let v = 151 + t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from phaggppgpdbbbdb. What is prob of sequence hga?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 7*j**2 + 293*j - 1144. Let r be w(4). Solve 11*b - 228 = -r for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 68 - 68.053. Let j = 0.406 + -0.476. Let h = j - q. What is h rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/3164840 and -81\/8676640.\nAnswer: 772220960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 6*r**2 + 193*r + 31. Determine d(-32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -4*m - 7*p + 252, -318 = -5*m - 4*p. Suppose -12*k + k + m = 0. Suppose -3*x + 60 = x. Solve k - x = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70 - -72. Suppose -g*f - 2*o - 7 = 5, -3*f + 5*o + 22 = 0. Let s be (-2)\/f*51\/6 - 3. Calculate the greatest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3970 divided by 25.\nAnswer: 794\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*r - 5*q = -161, r - q = 38. Let l = r - 40. What is the closest to 0 in -2, 1\/4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -389*k + 197*k + 199*k + 7.\nAnswer: 7*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**0\/(g\/(g**(-3)*g)))\/(g\/(g*g**(-6)\/g)*g*g**(-2\/19)) assuming g is positive.\nAnswer: g**(-207\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 35*w. Let h(c) = -227*c**2 + 14556*c - 29123*c + 14567*c + 1. Give u(h(g)).\nAnswer: -7945*g**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.9 - 1.1. What is the second biggest value in n, -4, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -0.2  (c) -104  (d) -2\/19  (e) -20\/9  (f) -179\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 + 4*c - 4*c - 2*c)*(-9 + 4 - 20)*(1 - c - 1).\nAnswer: 25*c**3 - 50*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of 4*z**6\/15 + 2*z**3\/3 - 3*z. Find the second derivative of v(j) wrt j.\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 70\/(-22) - 4\/(-22). Let k be 2\/(-6) - 217\/r. Let s be k\/(-154) + (-2)\/(-11). Which is the closest to -2?  (a) s  (b) -0.1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3395 + -3394.999991626. What is z rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*1*sqrt(13) - (sqrt(1872) + (sqrt(1872) + sqrt(1872) + 1 - sqrt(1872)) - sqrt(1872))**2.\nAnswer: -1873 - 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 take away 390472?\nAnswer: -390463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2283123 and 0.1.\nAnswer: 228312.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1079 + 184*l - 544 - 518.\nAnswer: 184*l + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -178247, -178248, -178249, -178250, -178251?\nAnswer: -178252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-24)\/1*(-282)\/(-18). Find the common denominator of (1\/6)\/(4\/x) and 151\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252*b = 266*b - 35322. List the prime factors of b.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -679*d + 677*d + 3*w - 11 = 0, 4*w = d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -5.7  (b) -5  (c) -4  (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1574 + -1574. Solve -20*n + 232 - 72 = i for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 104.96 and 2?\nAnswer: 102.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 8 = 3*d - 4*a, 4*a - 32 = -4*d. Suppose -2*t - 2*o = -1057 - 2471, 0 = d*o + 25. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -2*s, -r + 0*r + 5*s - 8 = 0. Let j(h) = 4*h**r + h**2 - h**2. Let q(t) = 2*t**2. What is j(q(d))?\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -3*h - 36. Let r be q(-10). Let b(s) = -s - 18. Let x(j) = -3. Let u(f) = r*b(f) + 39*x(f). What is the first derivative of u(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of p**2\/2 - 5*p + 1. What is the units digit of s(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59562 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2899.5 - -809.\nAnswer: -2090.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 97895342 by 562.\nAnswer: 174191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z**2 + 424*z + 2463. Determine b(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 65 - (191 - (27 - -9))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 - -23. Let l = -11.793 + m. Round l to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 19 = 21. Suppose q = -11*n + 6*n. Calculate the remainder when 19 + (-2 - n\/(-2)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1037398 is divided by 3828.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -17289, -17284, -17279, -17274, -17269?\n\"Answer: 5*i - 17294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.09 - 30.91. Let w = -32 - i. Let x = -29 - -27. What is the nearest to x in -0.4, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2738 (base 12) in base 8?\nAnswer: -10634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 142600.8401 to the nearest 100.\nAnswer: 142600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -3\/38693240 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 3)*(-26 + 2*x + 15 + 14)*(0*x**2 - 10*x**2 + 8*x**2).\nAnswer: 12*x**3 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2105 + 2401. Calculate the greatest common factor of 259 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -3*d + 2. Suppose 276 - 261 = 5*l. Calculate v(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -0.00055  (c) -3  (d) 0  (e) -0.5  (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -23625, -23624, -23623, -23622, -23621, -23620?\n\"Answer: n - 23626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 + 15. Is 1\/s - (-1413)\/36 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.3, 0, 34270, 1\/4, 4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (((-576)\/2280)\/(-6))\/((-2)\/5)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2360378.\nAnswer: 2, 37, 167, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -485 times 139779\nAnswer: -67792815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 5. Suppose 20 = y*z + z. What are the prime factors of (z + 3)\/(1\/6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1243 - 1270 = 4*f - 2497. Let y(x) = x**2 - 5*x - 31. What is y(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 84, 253, 546, 969, 1528, 2229, 3078, 4081?\n\"Answer: z**3 + 56*z**2 - 6*z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-42)\/7)\/((-15)\/(-70)*1))\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -974999*f**2 + 3*f + 2. Suppose -2*n + 18 = -2*d + 6, -28 = 4*d - 5*n. Let w be k(d). What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 6*w**2 - 3*w**3 - 32*w**2 + 3*w + 3*w**4 + 17*w**2 + 6 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.4 and -105818.\nAnswer: -105818.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 9*s - 3. Suppose 1 + 5 = 2*x. Suppose x*y - 7*y = -4. Let i be p(y). Solve 5*z + 4*v + 37 = 0, -i*v = 5*z - 4*v + 31 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4737*v + 110 - 55 - 55.\nAnswer: 4737*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15, 11, -15, -75, -181?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 68010287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 175*v - 169*v - 180 = 0. Solve 5*x - 5*m + 0*m - v = 0, -x - m = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 41*c**3 + c**2 + c. Calculate m(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1040 + -74282391.\nAnswer: -74283431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1136999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -4*g - 5. Let b = -2284 + 2282. Is 6 + (866 - g) - 6\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 AM and 8:52 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 349 + -3487\/10. Suppose -i + 0 = -1. Is i at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -104*b - 954. Determine o(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a*a\/((a**(-2)*a)\/a))\/a**10)**(-33))**(-21))**(-26) assuming a is positive.\nAnswer: a**108108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*s + 8 = 17*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 859 - 135718821.602\nAnswer: -135717962.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11219 is divided by 5471.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.1706 + -1.0436. Round f to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1817*b**2 - 2027*b - 210 = 0. What is b?\nAnswer: -1, -210\/1817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/3*(-88)\/77\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 3 + -36 + 21\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**5\/5 - 2724*f**4\/5 - 246792*f**3 - 36933260*f**2 + 113035650*f.\nAnswer: -2*f*(f - 3)*(f + 455)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 + -23. Let a(g) = 2*g**3 - 3*g**d + 0*g**3 + 9 - 6*g**2 - 4*g + 0*g. Let j be a(-5). Solve 6 + 2 = -j*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5850001, 11700002, 17550001, 23399998, 29249993?\nAnswer: 35099986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2. Let w(s) = s - 1. Let c(q) = 54*q - 51. Let a(d) = -6*c(d) + 306*w(d). Calculate a(h(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - j + 4. Suppose -3*u - 2*u = 4*o + 24, -u = -o - 6. Let c be 12\/20 + o\/10. Determine b(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36.3 - -36. Which is smaller: -0.6 or a?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.6468098 rounded to 3 dps?\nAnswer: 9.647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 479642 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3 + 391*l - 3 - 388*l. Let d(z) be the second derivative of -z**3\/2 + 2*z. Give d(q(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2250407784?\nAnswer: 2, 3, 37, 2534243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43465597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 11*o + 5. Let r(j) = -11*j - 8. What is 5*n(s) + 4*r(s)?\nAnswer: 11*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -364 = -2*z - 2*z. What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of -146*y + 0*y**2 - 83\/6*y**4 + 9\/10*y**5 + 0 + 0*y**3. What is the third derivative of q(z) wrt z?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 PM and 1:15 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**5\/(h\/(((h\/(h*h\/(h\/(h**3*h))*h))\/h)\/h))*(h\/(h\/h**(-1\/3)))**(2\/43) assuming h is positive.\nAnswer: h**(-389\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = 3*i - a + 12, -3*i = 2*a - 9. Suppose -120 = -o - i*o. Suppose 0 - o = -3*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.75 + 0.65. Let j = 0 - -2. What is the smallest value in j, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6643 is divided by 58.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w + w**2 + 2 + 1204*w**4 + 1031*w**4 + 1297*w**4 - 3054*w**4 to the form s*w + d*w**2 + r + o*w**4 + v*w**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 465429 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -2*b**5\/5 + 550*b**4 - 723728*b**3\/5 + 57332912*b**2\/5 - 1379821856*b\/5 - 1437881248\/5 = 0.\nAnswer: -1, 58, 202, 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -4*d**2 - 12356576*d - 9542810652736 = 0?\nAnswer: -1544572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -404.9 + 405. Which is the nearest to 28\/3?  (a) 2\/5  (b) h  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*i**2 + 12*i + 108.\nAnswer: 16*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00004479446 rounded to seven decimal places?\nAnswer: 0.0000448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ikmimii. What is prob of sequence iii?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8712984 and 6090?\nAnswer: 1263382680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 138 (base 9) in base 7?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 38, 22, -4, -46, -110, -202, -328?\n\"Answer: -z**3 + z**2 - 12*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12474 = k + 5*l, -3*k - l + 24915 = -5*k. Let f = -4328 - k. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 191*f - 2258 = -1727 + 3118 + 2272 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32 and 5006380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(40\/15 + (-4)\/6). Let j be 0*((-10)\/3 + 3) + o. What are the prime factors of (1 - j)*(-8 + 17)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -122 - -118. What is the nearest to -0.4 in w, 4\/3, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 1865*i - 113773. What is c(61)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -582.3 rounded to the nearest 10?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*j**3*k - 65181*j**2*k - 4*j - 1720*k - 4 wrt j?\nAnswer: -12*j*k - 130362*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (30*a + 29*a - 64*a - 12*a**4)*((2 - 2 + 2)*(-1 - 2 + 1) + 0 - 3 + 4 + 1 + 0 + 0)*(2 + 3 - 2) in the form s*a**4 + b*a + d*a**2 + f*a**3 + r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/4959 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -688, 7, -5.\nAnswer: -688, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -1. Let h(b) = b**2 + b + 14. Suppose -j - 3*n - 27 = 0, -2*j + 35*n - 31*n = -16. Give j*t(q) - h(q).\nAnswer: -q**2 - q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7.408625m?\nAnswer: 7408625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 0 - 0 - (41 - 47).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 - 36 = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25 + 28. Suppose -r - 8 = -b*r. Suppose r*u - 22 = 142. List the prime factors of u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of 4*l**4\/3 - 10*l**3\/3 + 10*l**2 - 1669*l. Let m(r) = -r**2 + r - 1. Determine a(t) + 20*m(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.574 and -0.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -16*o - 1. Calculate m(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-i - 3 - 5*i**2 + 0*i**2 + 6*i**2)*(-6 + 4 + 1 + (4 - 5 + 2)*(3 + 3 - 5) - 8 + 8 - 7) in the form d*i**2 + j*i + o and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 34, 100, 196, 322, 478, 664, 880?\n\"Answer: 15*t**2 + 21*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2, 0, -8, -22, -42, -68?\n\"Answer: -3*t**2 + 7*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 116 - -102?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 28154215 to the power of 1\/2, to the nearest integer?\nAnswer: 5306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**3 - 175 + 176 - u - 8*u**2 - u**2 - 13*u - 3*u**3. What is q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*i**2 - 35*i + 0*i**2 + 35*i.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o - 48 + 104 = 0. Solve o*d + 59 = 24 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -165 (base 14) in base 9?\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -7, -7, -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 4503971.\nAnswer: -9007942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32468 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 + 14 + 0)*6\/(-9). Let y(f) = f + 7. What is y(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -11*i + 5*i**3 + 0*i**3 + 7*i**2 + i**3. Let u(g) = -4*g**2 - 25*g**3 - 3*g + 10*g - g + 22*g**3. Determine 4*m(z) + 7*u(z).\nAnswer: 3*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 2*x - 436, 0*x = -2*u - 5*x + 186. Calculate the smallest common multiple of u and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 123641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + -2. Suppose -q = -t - 3. Suppose 3*h + 2*p = q*h - 374, 2*p = h - 184. Calculate the greatest common divisor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3881884.\nAnswer: 2, 191, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 23, 15 in decreasing order.\nAnswer: 23, 15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 + 3*r + 1. Let v(p) = -1. Let y(l) = -f(l) - 4*v(l). Suppose 0 = 4*j + 4*u - 16, -2*u - 12 = 4*j - 6*j. Determine y(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2 and 169812197.\nAnswer: 169812196.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1056 divided by 81\nAnswer: 352\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 2.6  (b) -1  (c) -2558\/5  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, 5, -9 in increasing order.\nAnswer: -9, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 131 + -135. Let d be (-3 - 139)*(-1)\/2. Let h = d - 357\/5. Sort h, 1, 0.4, t in ascending order.\nAnswer: t, h, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3*s**2 - 6*s + 1. Let b be (3\/(-2))\/(-3 + 225\/70). Let g(r) = -9*r**2 + 19*r - 3. What is b*x(w) - 2*g(w)?\nAnswer: -3*w**2 + 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 37 - (10 - (-11 + 9)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 66 + -64. Suppose -n + 14 + 27 = -t*q, -q = -3*n + 108. What is the lowest common multiple of 9 and n?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34757.97 - 34758. What is the nearest to -0.1 in 110, 5, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 32 and 86?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**3 - d**3 - 10*d**3 + d**3 + 0*d**3 - 2*d**3 + (2*d**2 + 5*d - 5*d)*(4*d - 6*d + 4*d).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p + 3. Let z = 12 + -7. Let b be 2*z*28\/(-35). Let k(j) = -5*j - 8. Suppose 2*t = -0*t - 6. Determine b*i(x) + t*k(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 + 16866*v + 15065736.\nAnswer: 3*(v + 1114)*(v + 4508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -0*a. Let b = -830 - -832. Suppose 5*f - b*n - 133 = 2*f, 4*f + n - 192 = a. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 390, 440, 504, 576, 650, 720, 780?\n\"Answer: -n**3 + 13*n**2 + 18*n + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20786 and 14782.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75.12565ng to kilograms.\nAnswer: 0.00000000007512565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 2 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 108774420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66 = -2*i - 5*d, -4*i = 37*d - 33*d - 48 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 1 = l - 5, -5 = -5*o. Suppose -2*b + 1131 = l*x, 4*x = 3*b + b - 2220. What is the tens digit of b\/8 + -2 + (-5)\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 156228 by 47.\nAnswer: 3324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 115 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26032094113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -12*y + 5. What is a(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16801 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/22 and 99\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.06 + 0.26. Which is the nearest to 1?  (a) -6\/11  (b) -1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1205.4 - 1205. Which is the closest to -1?  (a) s  (b) 4  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/(-40)*-24 + 4\/20. Which is the biggest value?  (a) -0.21  (b) g  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -42 - 9. Suppose -i - f = -24. Factor 14*n**2 + 0*n**3 - 9*n**2 - 2*n**3 - i*n**2.\nAnswer: -2*n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ottstowonwt. Give prob of sequence ttwn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*q**2 - 4*q**2 - 2*q**2)*(-2658*q**2 + 1 + 2538*q**2 - 3).\nAnswer: 120*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 - 1)*54\/(-4212). Is -1 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, 10, 8988 in descending order.\nAnswer: 8988, 10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16 + 16 - 4*p + (-2 - 2 + 2)*(-4*p + 4*p + p) - 2*p - 2 + 2.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 41*h**3 + 2*h**2 - 3*h + 1. Is r(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -9  (c) 0.6  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 887859 and 98651?\nAnswer: 887859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 1:06 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*5.82.\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/(45\/132)*-3. Let k = 188\/49 + -6959\/294. Find the common denominator of k and (-300)\/y*(-2)\/(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 64*h = 69*h + 36528, 109620 = 3*n + 3*h. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 10*v - 8. Let q be ((-1)\/1)\/((-4)\/(-8)). Put v, 5, q in descending order.\nAnswer: 5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/84*-8 - (-4730)\/462 - (0 + 5).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41058849835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.5 or 256029?\nAnswer: 256029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31446611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50534 - 161846 = -70*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3612 - -5778. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -3. Calculate the remainder when (p\/5)\/((-4)\/(-80)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 PM and 12:17 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 84, -21, 5 in descending order.\nAnswer: 84, 5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t**2 - 3*t - 2. Let g be h(-2). What is the highest common divisor of 18 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4824\/2010)\/((-3)\/25)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -116, -210, -294, -362, -408?\n\"Answer: x**3 - x**2 - 98*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6442 is divided by 1285.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.98 - 1. Let m = 157\/4 - 39. What is the biggest value in m, -0.06, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1331 divided by -9595\nAnswer: -1331\/9595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*z - c + 8, -7*z - 29*c - 71 - 142 = -9*z - 0*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 174 divide 5855796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**0)**(-13)\/((z**(-2)*z)\/z**(-2)))\/(((z\/(((z**(-1)\/z*z)\/z*z)\/z))\/z*z*z**2)\/((z*z*z**(-3)\/z*z)\/(z*z**1\/z))) assuming z is positive.\nAnswer: z**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - (-16)\/(-6))\/(390\/(-585)). Solve -o*j = h + 4, 3 = -3*j - h + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 248851343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9000 and 9900?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 870 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 680, 710, 740?\n\"Answer: 30*g + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -104 + 22*x - x**3 - x**3 - 7*x + x**3 + 19*x**2 - 9*x**2. Let m be y(11). Sort 0, -2, m in descending order.\nAnswer: 0, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00134985 rounded to 5 decimal places?\nAnswer: 0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -580*b = -593*b + 117 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/20*1 + 114\/(-140). Which is bigger: g or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1*((1*sqrt(245) + sqrt(245) + sqrt(245))**2 + 1 - sqrt(245)) - 1*(-4 + sqrt(245)*-2 + sqrt(245))).\nAnswer: -2200 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -76 + 88. Suppose j*y - 6*y = 36. Solve r + y = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000778353 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -5107\/703 >= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m*m\/(m\/(m\/(m**(7\/4)*m)))*m)\/m))\/m**8 assuming m is positive.\nAnswer: m**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + s + 8 = 2*t, t - 1 = 2*s. Suppose -98 + 5 = -t*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1218031094 to the power of 1\/2, to the nearest integer?\nAnswer: 34900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -57 - -68. Suppose -20 = 6*h - m*h. Suppose 0*u - 5*c = -2*u + h, 2*u = -5*c + 24. Put -1, u, -2 in descending order.\nAnswer: u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x**4 - 4*x**3 + 4*x**3 + (4*x**2 - x**3 - 4*x**2)*(-5*x + 20*x + 3*x) to the form f + z*x**4 + l*x**2 + m*x + c*x**3 and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21*d**3 - 632*d**2 - 119834*d wrt d?\nAnswer: 126*d - 1264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 32526364 + -2?\nAnswer: 32526362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 117 - 4*p**2 - 2*p - 117 - 2*p**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -6*b**4 - b**3 - 6*b**2. Let s(j) = j**4 + j**2. Let x be (-4)\/(-6) + ((-240)\/9 - -4). Let f(p) = x*s(p) - 4*n(p). Factor f(w).\nAnswer: 2*w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(75) + 1)*-2 + -1 + (-1 + sqrt(75) - sqrt(75)) + -1*(3 + (sqrt(75) - 6*(sqrt(75) + sqrt(75)*2))) + -5)**2.\nAnswer: -1050*sqrt(3) + 16924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -16 - 14. Suppose 10*s + l*s - 120 = 0. Solve 0 = 3*a + 3 + s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 534 is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20*g**4 + 60*g**4 + 7*g**2 + 2 + 12*g - 20*g**4 - 21*g**4 wrt g.\nAnswer: -12*g**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 3:32 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20.6 + -3.86.\nAnswer: 16.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*s + 2*s. Let o be ((-1)\/s)\/((-18)\/2902). Let x = o + 161. Do 1 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6  (b) 4\/3  (c) 4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*q**2 - 39*q**2 + 79*q**2.\nAnswer: 141*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -s + 4*a, 0*s = 3*s + a - 44. Let m be 144\/s - 4\/14. Suppose -70 = 8*g - m*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-13)*m**(-5\/2) assuming m is positive.\nAnswer: m**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {b: 1, g: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 25*t + 101. Let w be x(-4). What is the third biggest value in w, -3.7, -0.5?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 998 is divided by 197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 1 - ((7 - 4) + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/1830 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 4*r, -r - 20 = 4*r. Let m be 28\/l*(0 + 4). Solve m*i - 35 = 5*p + 2*i, 2*p - 6 = -2*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 788\/157357 or 1?\nAnswer: 788\/157357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 808 - 808.288. Which is smaller: 0.3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(5\/((-130)\/(-4))*3\/3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 y when three letters picked without replacement from {y: 2, x: 8, m: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*a - 6*a - 420 = 0. Let q be 39*144\/a - 2\/(-5). Suppose -3*b + 275 = -u, 3*b - 5*u - 259 = -0*u. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-108)\/15)\/((-116)\/(-1595)*(-22)\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**4\/5 - 17*y**3\/5 + 11*y**2\/5 + 77*y\/5 + 48\/5 = 0. Calculate y.\nAnswer: -1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1 + 36*d**2 - 12*d**2 + 256*d**3 + 111*d + 713*d**3 - 25*d**2 wrt d?\nAnswer: 5814*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (44\/(-21))\/((-156)\/(-55926)). Let q = p + 752. Factor 6\/7*d**2 + 0*d - q.\nAnswer: 6*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 35 = -239. Does 22 divide (-3)\/(-6)*-6 + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = -2*t - 5*q - 16, -2*q = 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**2 - 18*j - 11. Give q(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-10))\/((-152)\/95).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/8)\/(((-4247)\/(-37264))\/(-31))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 3*p. Let v be z(-2). Suppose 2*w - 8 = -v*w. Solve 4*o - k = 5, -3 = k + w*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of -w**4\/18 + 160*w**3\/9 - 6400*w**2\/3 - 5*w + 28. Determine y, given that t(y) = 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j. Let w(d) = -d**2 - 5*d - 3. Let q(i) = f(i) - w(i). Calculate the smallest common multiple of q(-5) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 4. Let p = 9 + -14. Which is the closest to 1?  (a) -4  (b) p  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -4. Let p = f - -4.5. Which is the nearest to 0?  (a) 2  (b) -1\/9  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 37 = 6. Let j(a) = 2*a - 5. Let k be j(5). Suppose 39 = 4*c - k*q, 3*c - 28 = -q + 25. Calculate the remainder when t is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 30 = 3*l. Let h be (l\/(-20))\/((-6)\/(-8)). Let o(a) = -8*a**2 - 2*a**h + 9*a**2. Let p(n) = n**2. Calculate o(p(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zdd when three letters picked without replacement from mdkmzkmmdkz.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 20 + 8)*(2*f**3 - 4*f**3 + f**3).\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35 and 107265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 604.8094 litres in millilitres?\nAnswer: 604809.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 - 2*b**2 - b + 2. Let t be 0 + 4 + 3 + -4. Let p = t - 1. Let m be i(p). Solve -3*o - o - 8 = m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -46 - 1\/2*r**2 + 0*r - 37\/2*r**4 + 16*r**3. Find the third derivative of m(g) wrt g.\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(5*(-3)\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 914.4483 millennia in centuries?\nAnswer: 9144.483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -372 and 65067.\nAnswer: 64695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1256470, 5025876, 11308206, 20103448, 31411590, 45232620?\n\"Answer: -2*s**3 + 1256474*s**2 - 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -8*o. Let k be j(-1). Let q = k + -2. Calculate the smallest common multiple of 10 and q\/(5 - 2)*5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7777709*d**2*g**2 + d**2*g - 3*d**2 - 209370*g wrt g.\nAnswer: 15555418*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**5 + 2*i**4 + 18940*i**3 + 106797*i - 8 wrt i?\nAnswer: -40*i**3 + 24*i**2 + 113640*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4451 + -4447. Let h = -1194 - -5914\/5. What is the closest to 2\/3 in h, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(240) - sqrt(240)*1*6)\/(2*sqrt(24)\/sqrt(3)))\/(-3*(sqrt(1000) + (sqrt(1000) - -2*sqrt(1000)*-4))).\nAnswer: -sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d - 16. Let j be k(6). Suppose -j*m + 4*p = -20, -5*m = -5*p - 30 - 40. Suppose 0 = -3*a - 0 + m. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 661186 > 661189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 304 by 6.\nAnswer: 152\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5}. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 6103863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d - d**4 + 3*d + (-112*d**3 + 48*d**3 + 53*d**3)*(-4*d + d + 2*d)*(10 - 12 - 2).\nAnswer: -45*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*q**2 + 3*q**2 + 3*q**2)*(4 + 0 - 2) - 2*q + 2*q + 4*q**2)*(-8 + 9 + 0).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304420 is divided by 4832.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3a8 (base 13) in base 9?\nAnswer: -786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 29830738?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 32 - 32. Let v(b) be the third derivative of -5\/24*b**4 + k + 1\/6*b**3 + 0*b + b**2. Determine v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(((-42)\/4)\/(-7)). Find the second derivative of -z**3 + z**3 + 3*z**p - 5*z**4 + z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-12))\/(6*(-45)\/80).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(66)\/sqrt(3) - sqrt(22))\/((2*sqrt(8))\/sqrt(4)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 3*v**2 + 4*v - 10. Determine i(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66529298.\nAnswer: 2, 11, 19, 159161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*i**3\/2 + 20*i**2 - 67*i\/2 + 3 = 0. What is i?\nAnswer: -3, 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-90)\/(-54)*-57)\/5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/(-3))\/(-1)*0. Let o = -128 - -158. Suppose o = w - v*w. Round w to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 0.1, -1, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-3*sqrt(45))\/sqrt(9))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 58371\/10 - 5842. Let t be (-2)\/10 + (-10407)\/165. Let q = 65 + t. Calculate the common denominator of y and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9945 - -23793. What are the prime factors of p?\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 + 4*n**2 - 5*n**2)*(-3*n**2 + n**2 + 0*n**2) - 295*n**2 + 189*n**4 + 295*n**2.\nAnswer: 193*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 51b7 (base 14) to base 13\nAnswer: 653b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68901.02t to nanograms.\nAnswer: 68901020000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -42 + 5 + h**2 + 32*h - 64*h + 35*h. Let m be z(6). Suppose m = 8*w + 1. Put 5, -10, w in descending order.\nAnswer: 5, w, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8\/93 - 2\/217. Let r = 3 + -3. Is r at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -196*g**3 + 566*g**3 - 4*g - 2*g**2 + 21*g**4 - 193*g**3 - 173*g**3 + 2 in the form p*g**4 + c*g**2 + n + x*g**3 + l*g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -6, 3, 12, 21, 30?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*j + 2*j. Suppose 0 = 6*y - j*y + 15. Solve -2 + 5 = -5*w - 3*g, -3*w + y*g = 29 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 296412 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*2 + (-2325)\/(-61 + -14).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6810711 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-57 - 87) + -58 - -111?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 366006?\nAnswer: 2, 3, 61001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 38017 times -70.38\nAnswer: -2675636.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 2:30 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38\/3 - 13. What is the closest to s in 2\/7, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 32 = -6*x, -4*x + 4 = -2*x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-3 - 4) - 4 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 - 5*x - 4. Let y be q(-3). Which is the closest to y?  (a) -3  (b) 0.4  (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -300 - 4100 = 38*m + 6*m for m.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130) - (1*sqrt(130)*-5 - sqrt(130)) - sqrt(130))\/(-1*sqrt(90)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 162 divide 2518938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3034028824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 60217 + -15?\nAnswer: 60202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 80946926 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25 (base 6) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/72 and -23\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 45339556099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/4 - (-44)\/16. Suppose -2*v + 3*i + 3 = 0, 0 = -6*i + 3*i + 9. Let m(p) = -p + 10. Let f be m(v). Solve 3*w - 2 = 4*w + f*c, l*w - 2*c - 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2994, -6095, -9196, -12297, -15398?\nAnswer: -18499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (43 + -47)*(-13)\/4. Find the second derivative of 63*t**2 - c*t**2 + 510*t - 606*t wrt t.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 15*d**2 + 15*d + 19. Suppose -76 = -5*m - 2*z, -m + 3*z = 2*m - 54. Let k be l(m). Solve -5*r + 0*r = 2*c + 27, k*r + 15 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1109744 to the nearest 1000.\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -41\/4, -0.05, 2\/141?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 9*o + 8. Suppose -4*k = 2*a + 34, -5*k - 20 = -3*a - 2*a. Does 6 divide c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 427811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*z = -13*z + 144. Suppose 15 = -0*l + 3*l. Calculate the remainder when (6 - 133\/21)\/(1\/z) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 27841903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w. Let a(t) be the second derivative of -8*t**6\/45 + 29*t**3\/6 - 6*t. Let d(y) be the second derivative of a(y). Determine x(d(v)).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -576.014 - -576. Put -0.4, 5, -1, o in ascending order.\nAnswer: -1, -0.4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 350 * 88243.\nAnswer: 30885050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 195 and 3055?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2077295 divided by 11\nAnswer: -188845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f\/(f**(1\/3)\/f)))\/f)\/(f*f\/f**8)*f**10*f**(2\/5) assuming f is positive.\nAnswer: f**(206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -132?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 r when three letters picked without replacement from rwnydrhh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 9:35 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 821 + -432. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 4*z + 3. Let c be p(-3). Suppose 8*n - 3*n = 2*j + 15, 4*j + 3*n - 35 = c. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**13)\/(p\/((p**16\/p*p)\/p)) assuming p is positive.\nAnswer: p**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 3*m + 42 = 0. Solve 5*n + m = -6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4058460, 4058430, 4058372, 4058280, 4058148?\n\"Answer: -k**3 - 8*k**2 + k + 4058468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-30)\/70)\/(1\/(-7)) - 6. Is (-5)\/(-5) + b - 1645\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13401.424 minus -592?\nAnswer: -12809.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 8 - 2 - 232*f - 5 - 451*f.\nAnswer: -683*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 3 - 3)*(-1 + 2 + 1 - 1 + 0 + 3 + (-7 + 3 + 3)*(-1 - 5 + 4) + 2 + 2 - 6 + 0 + 5 - 2).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -830, -1630, -2424, -3212?\n\"Answer: 3*n**2 - 809*n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.88136 seconds to milliseconds.\nAnswer: 64881.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 385 is divided by 136.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 8314011400 rounded to the nearest one million?\nAnswer: 8314000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -374a5 + -938?\nAnswer: -38110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tvvtttt. Give prob of picking 3 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 113 (base 11) to base 4\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 + 17*l + 12. Let c be v(-16). Let a = -233 + 237. Put a, -2, 0, c in decreasing order.\nAnswer: a, 0, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*g**2 - 19*g**5 - 255*g**4 + 255*g**4 - 7*g**2 wrt g.\nAnswer: -1140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/298 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 1\/32, 312, 0, 1\/3, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**22*r)\/(r*r**(1\/14))*((((r**2\/r)\/r)\/r)\/r)**(-24) assuming r is positive.\nAnswer: r**(377\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -154 - 539263334.6.\nAnswer: -539263488.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 5*j = -18, 2*j + 2 = -g + 3*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9, -2, 2\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - q = -h - 1, 0 = h + 3*q - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 7*z**3 - 5*z - 5. Suppose 38 = -3*u + 5*d, -2*d - 2*d - 14 = 5*u. Let a(s) = 3*s**3 - 2*s - 2. Calculate u*v(m) + 15*a(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 9:05 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-3)*(-48)\/32?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1500) + sqrt(1500)*-2 + sqrt(1500) - sqrt(1500))\/sqrt(12) + -4)**2 - (sqrt(5) - (-3 + sqrt(10)\/sqrt(2)) - (sqrt(10)*2)\/sqrt(2)))*5.\nAnswer: 210*sqrt(5) + 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 + 2*t. Let q be j(2). Let z = 6140 - 6140.09. Which is the closest to q?  (a) z  (b) -3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2227*i**4 + 7*i + 8 wrt i?\nAnswer: 26724*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 321 - 321. Which is the closest to z?  (a) -10  (b) -0.1  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32168 (base 9) in base 11?\nAnswer: -14a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 665\/135)*3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mthhhmgmhtghtthmht. Give prob of picking 1 g and 3 t.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8239 and -211.\nAnswer: -1738429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 1\/4, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1190, 2381, 3574, 4769?\n\"Answer: y**2 + 1188*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -15*m. Let u(g) = 7*g. Let x(v) = 6*d(v) + 13*u(v). Let w(t) = -253 - t + 2*t + 253. What is 3*w(l) - 5*x(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -184 + 213 + -60 - (-1 + 5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2321.\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0.4, 10, 1, 2, -5, 4.05 in descending order.\nAnswer: 10, 4.05, 2, 1, 0.4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1a8 - -828?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 764.60886 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i**2*z + 312*i**2 - 23*i*z + 1820*i + 135973596*z with respect to i.\nAnswer: -4*i*z + 624*i - 23*z + 1820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1565*u - 157?\nAnswer: 1565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(3\/2)*q)**(29\/2)\/(q\/(q\/((q\/q**(-1))\/q))*q*q**(-14)) assuming q is positive.\nAnswer: q**(193\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 12*l + 54 = 0. Suppose 129 = l*r - 3*r + 2*v, 2*v = 2*r - 86. Let o = 7 - -4. Calculate the remainder when r is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/6050 and 58\/3025.\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10173676\/10 - (-6)\/(-10). Let q = 1927899 - 1145266. Suppose 3*m + q = -l. What is m rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (1*(sqrt(125)*1 + -4 + 4)**2 - ((sqrt(125) - (sqrt(125) + 5*(sqrt(125) + -3*sqrt(125)))) + sqrt(125) + 6*sqrt(125)*1)**2).\nAnswer: -36003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in -408, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2303*q - 1 - 6770*q - 1912*q - 4069*q as h + w*q and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.25 - -66.85. Let z = -64 + w. Put 3, -1\/3, -0.5, z in increasing order.\nAnswer: -0.5, z, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (15\/((-2475)\/22))\/(24\/(-15))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 4*c = 3. Let r = -1 + c. Let x = 2 + r. Solve 5*f + 2*b = 11, -4*f = -x*f - 5*b - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2 - 7345796*o + 22037352.\nAnswer: 4*(o - 1836446)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -28\/5 + 79\/15. Sort -1, z, -2 in descending order.\nAnswer: z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 (base 8) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 945 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 75 = 2*t. Suppose 4*d + d = t. Suppose d*h - h = 132. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 <= 107\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -144. Let o = 168 + z. Is o 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 -14*7*(-4 + (-21)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(4 + sqrt(48)\/sqrt(6) + 2)**2.\nAnswer: -264 - 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 314, -241, -796, -1351, -1906?\n\"Answer: -555*d + 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -27925, -1\/4, 0.0546?\nAnswer: 0.0546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - 66*n**2 - 208*n + 29. What is b(69)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 116785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/77  (b) -10  (c) 2\/61  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6363779 by -1.\nAnswer: 6363779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 4*s**4 - s**2 - s - s + 0*s**2 + 3*s**3 - 5*s**4 to the form q + c*s**2 + l*s**4 + i*s**3 + k*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 + 30*v**2 + 62*v + 49. Let o = 19544 + -19512. Calculate j(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**2 + u**2 - 6*u**2)*(3*u - 4*u - 3*u) + 2*u**3 - u**3 + 2*u**3 - 2*u**2 + 128 + u**3 + 6 + 43.\nAnswer: 12*u**3 - 2*u**2 + 177","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 5 = 5*c, 3*n + n - 5*c + 22 = 0. Let j = -0.01 - -4.01. What is the smallest value in j, 0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 y when three letters picked without replacement from yykkhkeeyhhmhhs?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {r: 1, f: 4, b: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 0.3, 5, 14, -18, 1.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-72)\/(-15))\/(18\/20)*(-577)\/(-1154).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oof when three letters picked without replacement from okkkkfokookokkk.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -3*w**2. Let g(b) be the second derivative of b**3\/3 - 31*b**2\/2 + 376*b. What is z(g(f))?\nAnswer: -12*f**2 + 372*f - 2883","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 268 is divided by 78?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -4, 23, 90, 209, 392?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*m**3 - 2*m**3 + 3*m + m in the form t*m + n*m**2 + q*m**3 + r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1002410 + 0?\nAnswer: -1002410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 385210 is divided by 8791.\nAnswer: 7197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39 - -78. What is the remainder when h is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 6*t + 15 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 38 = 39, -t + 2*r - 19 + 8 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134530712?\nAnswer: 2, 131, 137, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 1295309 to the nearest 10000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6272221675 and 0.897.\nAnswer: 6272221675.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78463*f**2 - 32628*f**2 + 107955*f**2 + 5570*f**2.\nAnswer: 159360*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 0, 0 = f - 5*f - t + 326159 - 75795. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i + i**2 + 3*i)*(-50*i**2 + 60*i**2 + 68*i**2).\nAnswer: 78*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2291*g - 831. What is the tens digit of d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + 13*c**2 + 760*c + 17925. Determine b(-20).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-7) - 60\/63. Let h = 0.4767 - 0.3767. What is the nearest to z in -5, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -88 - 43*r + 83*r + 62*r + 4*r. Is 21 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b2813 (base 12) in base 2?\nAnswer: 111000110100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r + 6 - 2*r**3 + 14*r**3 - 2*r**2 - 6*r**3 - 12*r**3. Let z(p) = p**3 + p. Let u(b) = -n(b) - 5*z(b). Determine u(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -79*i**2 - 28.\nAnswer: -158*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36909905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*a = 271 - 56 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.1  (b) -6  (c) 3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**2 - 31755*n + 222040.\nAnswer: 5*(n - 6344)*(n - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 109 + -104. Suppose f = 1, c - 3*f = -f - 2. Let y be (0 + 5)*(c - -1). Calculate the greatest common factor of y and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d + 20. Let s be p(-9). Let f be (-7 + 6)*73\/(-2)*s. Suppose -f - 123 = -4*x. Is x a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000319840833 rounded to seven dps?\nAnswer: 0.0003198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2 + 13476*c - 53936.\nAnswer: 2*(c - 4)*(c + 6742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1111111 (base 2) to base 14\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (130309*t - 45 + 11125*t**3 - 130308*t + 43)*(t - t + 2*t) in the form v*t + f*t**3 + b*t**4 + i + a*t**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 49267*j**2*o**2 - 138777*j**2 + 2*j - o**2 + 2*o with respect to o.\nAnswer: 98534*j**2*o - 2*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 11, 49, 157, 371, 727, 1261, 2009?\n\"Answer: 6*h**3 - h**2 - h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4*d**2 + 2*d + 1. Let y be j(-1). Suppose 445 = y*i + r - 210, -4 = 2*r. Suppose 14*l - i = 11*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3104 - 3?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of d**4\/12 - 3*d**3 + 232*d**2. What are the prime factors of q(23)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -60. Let w = v - 33. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 + -14)*(8\/(-20) + 0) + -11. Put w, -4, 0, -8, 5 in increasing order.\nAnswer: -8, w, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(272) + -2 + sqrt(272))*-6 - (0 + sqrt(272) + -1) - (6*-2*sqrt(102))\/(sqrt(216)*2))**2.\nAnswer: -1326*sqrt(17) + 44386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, a: 3, v: 2, u: 1}. Give prob of sequence cv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 18*c**3 - 6*c**2 + 4*c - 8. Let f be (2\/4 + -1)\/(13\/(-182)). Let i be t(f). Round i to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -31.06 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 53 - 19. Calculate the highest common factor of 54 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1a - -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/42 and 23\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + -10. Suppose -a - r = 5*f, 3*f + 0 + 12 = 2*a. Let n = 2 - f. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-932)\/(-16776))\/((-3)\/15)?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 4*q - 26 = 12, -8 = 4*q. Let f = -2 + t. Let p = f - 2. Solve 3 + p = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -117.4 - -117. Put -3.6, -1, z in ascending order.\nAnswer: -3.6, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of t**3\/3 + 3*t**2 - 2*t. Let a be o(-5). What is the nearest to -0.1 in -3\/8, -0.4, a?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q + 6*q**3 - 4*q**3 - 3*q**3 - 1 + 3*q**2. Let r be o(3). What is the units digit of 3 - r - (-10)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94839111.\nAnswer: 3, 10537679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 362, 735, 1144, 1607, 2142, 2767, 3500, 4359?\nAnswer: 5362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 326 + -357.3. Round z to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 1151*p - 131214. Give f(114).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + 29*n**2 - 31*n + 130. List the prime factors of m(-30).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -69*y**7\/14 + 35*y**3\/2 - 289*y. What is the second derivative of r(s) wrt s?\nAnswer: -4140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -129.92284 + -0.07716. Which is the second biggest value?  (a) r  (b) -1\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 47  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(3\/4)\/m)\/(m**0*m))\/(m**9*m**6))\/((m**(-2\/5))**(-24))**(-28) assuming m is positive.\nAnswer: m**(5051\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + 2 + 3 + -5. Suppose -4*o + 18 = 5*z, 2*o - c*z + 4 - 2 = 0. Suppose -3*j + 175 = o*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-six fifths of a millennium in years?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -385, -767, -1149, -1531, -1913?\nAnswer: -2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 17 = -3*h, -2*k = h + h - 14. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -44.1 - -44. What is the closest to q in 0.07, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 5:12 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*p - 6*p - 4*s, p = 3*s + 7. Let u be p + 4 - (-6928)\/(-14). Let a = u - -54899\/112. Find the common denominator of a and -139\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + f = -4, 6*f - 2 = -2*n + 3*f. Let w(q) be the second derivative of -q**5\/20 + q**3\/6 - q**2\/2 + 2*q. What is w(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -987998810*n**3 - 1058278574*n**2?\nAnswer: -5927992860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*j - 22968 = 72*j - 544823. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/3)\/2*-6. Suppose -23 = -2*l + 5*t, -t - u*t = 15. Let o = 80 + -75. What is the third biggest value in l, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/1 + -2 + -14. Let l be 246\/14 - (-8)\/t. Suppose -3*n - l = -2*o, n + 15 = -2*o + 4*o. What is the smallest common multiple of o and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1e4 (base 15) to base 6\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -453 = a - 3*d, -3*a - 4*d + 3*d - 1399 = 0. Let y be 4\/(-32)*-6 - a\/(-12). Calculate the remainder when (-290)\/(-4)*(5 - y\/(-10)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1914\/25  (b) -1  (c) 2\/3  (d) -0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 440, 1702, 3812, 6776, 10600, 15290?\n\"Answer: j**3 + 418*j**2 + j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -10, 2, -590.\nAnswer: -590, -10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0023672754 rounded to six decimal places?\nAnswer: 0.002367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 560*y**2 - 1081 wrt y?\nAnswer: 1120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of 127*m**4\/12 - m**3\/6 + 969*m. Let o(h) = -7*h. Give f(o(j)).\nAnswer: 6223*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.7, -52, 1, -4\/7?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yuxx when four letters picked without replacement from {p: 1, u: 1, y: 7, x: 6}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 3) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 2\/3  (c) 0.8  (d) 1  (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y - 25, 7*v + 18 + 44 = 3*v + 2*y for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 311*l**2. Let h(p) = 3 - 15 + 4 - 3*p**2 + 8. Give q(h(c)).\nAnswer: 2799*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 1115*x**2 + 6*x + 2. What are the prime factors of i(1)?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1560 and 68055?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 148 - 98. Let l be (m\/4)\/(1\/2). What is the greatest common divisor of l and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -22.206426 to one dp.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.93 + 0.63. Let m = 2.2 + n. Let b = -11 - -6. What is the closest to m in b, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93*j**3 + 18*j**3 + j - j.\nAnswer: -75*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1346811787.6 to the nearest one million.\nAnswer: -1347000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000953708924 rounded to seven dps?\nAnswer: 0.0000954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 AM and 6:11 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, e: 1, w: 1, f: 2, d: 1, o: 1}. What is prob of picking 1 d and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.05 - -0.2. Let v = o + -0.03. Let j = v - 0.11978. Round j to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r, 1 z, and 1 e when four letters picked without replacement from {f: 5, b: 1, l: 1, e: 2, z: 2, r: 2}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79341309.\nAnswer: 3, 631, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**3 - 3*q**2 - 5*q - 3. Let i be k(-3). Let t be -10 - -2 - 1\/(-1). Let a = i + t. Calculate the greatest common factor of 25 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 179 + -179. Suppose b = 11*k - 13*k + 154. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 2*l + 5*d + 6 = 0, 0 = -5*d - 10. Is 1 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 123 - 143 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*r + 45 + 179 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 252 and 9660?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -592 - -1144. Suppose 6*w = o + 24. What is the greatest common divisor of 36 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1655 is divided by 1488.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -84 - -106. What is the highest common divisor of 4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 - -2)*(-11)\/99*0. Suppose b = 321*y - 324*y + 90. Solve -4*m - 30 = 3*p - 3, 0 = -3*p - 5*m - y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 - 6*f**2 - 6*f - 1. Let g be i(7). Suppose -2*p + 27 = -d + g*d, 0 = -3*d + 15. What is the remainder when 1 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 9418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 192539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -344 + 352. Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 9*n - 138. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**2. Let j(x) be the first derivative of 13*x**4\/24 - 91*x**2\/2 - 133. Let s(q) be the second derivative of j(q). Give s(z(v)).\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -10374 divided by 7\nAnswer: -1482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - -1) + (-2)\/(-9). Let l = -6 + 5. Let g be l*(-1 + 1 + 0). Is g smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 3*q**2. Let j = 13 - -10. Let n = 25 - j. Let z(i) = 0 - 2 + 2 + 2*i**n. Calculate y(z(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 39, 54, 71, 96, 135, 194?\n\"Answer: m**3 - 5*m**2 + 23*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -38814*i**3 + 34064*i**2?\nAnswer: -232884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1426996*a**3 - 4*a**2 - 6700*a + 19768 wrt a.\nAnswer: 8561976*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 377 - 381. Let s be (-17 + 1)*21\/(-84). Put m, s, -9, 0 in increasing order.\nAnswer: -9, m, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 f when three letters picked without replacement from {j: 1, f: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -128 + 220. Let r = -86 + s. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1010110011111101 (base 2) to base 10\nAnswer: 44285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11907\/3 + (-7 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.6326 - 2007689453.\nAnswer: -2007689459.6326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*t**3 + 2212365 - 2212365 - 37*t**3.\nAnswer: -94*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from nnoooooonsoanoannoi?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -1. What is the derivative of -4*t + h + 6*t**2 + 6*t - 2*t wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 9) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 7, t: 1, g: 5}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 - 6*p + 19. Let j be c(-8). Put j, -3, -4 in increasing order.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30408473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2, -0.1, -2\/5, -45?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 8720659 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3208815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 2*f. Suppose -5*u + 2*x + 63 = f, 3*u - 4*u - x = -14. Let q = -32 - -51. Solve n = 3*d + u, 3*n - 4*n + 5*d + q = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 485*m + 1340 = 217*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9211 = 3*f + 2*a, 2*f - 21 - 6105 = -5*a. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(30\/3388) - 2\/(-10). Suppose 2*s + p = 1277. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16553477.\nAnswer: 16553477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9 - 8 - 70*u + 156*u + 11)*(u**2 + 2*u**2 + 0*u**2) to t*u**3 + p*u**2 + k*u + y and give t.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/5 - 51201568*j\/5.\nAnswer: 2*j*(j - 25600784)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 3:47 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 781 and 14811203?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -0.11, 4, 3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 652*z - 42 + 1479 = -8343 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v + 11. Let l be h(-5). Suppose 4 = -4*q + l*q. Let s be (-3)\/(-24)*4*4. Solve q*b - 6*b - 2 = -2*i, -i = s*b - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189 = -4*l - 51. Let y be (-3)\/5 + (-3636)\/l. Calculate the highest common divisor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*((35\/(-20))\/(-7)*(-84)\/(-21))\/(-53).\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -15426, -15353, -15280?\n\"Answer: 73*q - 15499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -6*w. Let b(r) be the second derivative of -523*r**4\/6 - r**2 - 52*r + 3. Determine l(b(a)).\nAnswer: 6276*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -62, -121, -186, -257, -334, -417, -506?\n\"Answer: -3*p**2 - 50*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 732 divided by -244?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -3*h**2. Let u(p) be the second derivative of 7*p**3\/6 + 31*p. Give w(u(i)).\nAnswer: -147*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of m**5\/10 - 5*m**4\/12 + 2*m**3\/3 + 10*m**2. Factor c(y).\nAnswer: 2*(y - 1)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - 22*i - 5. Let l be v(-20). Suppose 2*o - 114 = -10*t + 5*t, -o + l = -3*t. Suppose 290 = 49*x - o*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, h: 3, w: 1}. Give prob of sequence owh.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/166685 and -5\/20757.\nAnswer: 5500605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + p - 12 = 0. What is the second derivative of -16*m + 5*m**p + 3*m + 3*m wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 237*x - 1602. Let l be j(7). Calculate the highest common factor of l and 684.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*g - 6*g + 0*g)*(-g + 0*g - 2*g)*(-1 - 2 + 8) in the form j*g + o*g**2 + h and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19220 and 1700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 84892321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 266477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/9*-6*72\/(-48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, o: 3}. Give prob of sequence ror.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/50 - (-2)\/(70\/(-29)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 99*c**5 - 3*c**3 - c**2 - 25?\nAnswer: 5940*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 145635 and 59426745?\nAnswer: 7665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91915 - 3*c - 6*c + 6*c + 2*c - 91915.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*o**3 + 3*o**3 - 2*o**3 + (3*o - o - 3*o)*(2*o**2 + o**2 - 2*o**2).\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -6260 take away 27?\nAnswer: -6287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 + g - 11. Let i(k) = -k**2 + 11*k - 6. Let p be i(10). Let v be 6*p\/12 - 2. Suppose -2*u + 3*u = v. Calculate m(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -333 greater than -660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 558676.3 - -87.131\nAnswer: 558763.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 n when three letters picked without replacement from {n: 4, t: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2312  (b) -1\/7  (c) 5321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -68483*g*x**3 - 126303909*g*x**2 - 113*x**3 wrt x.\nAnswer: -410898*g - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of -5\/6*v**4 - 10*v**2 - 35\/6*v**3 + 1\/4*v**5 + 15*v - 2. Factor x(k).\nAnswer: 5*(k - 4)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.6  (b) -5  (c) 0.019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5 - -2)\/(-12) - 60\/(-16). Let g be (0 - t\/2)\/2. Is g less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -29, -11, 3\/26?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -22, -263, -15, -2, -4 in decreasing order.\nAnswer: 1, -2, -4, -15, -22, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1))**45\/(z\/(z*z**(2\/9))*z\/z**(-4)))\/(z**(-4)\/(z\/(z\/(z*z*z**(-2\/17))*z*z)))**(-34) assuming z is positive.\nAnswer: z**(-1636\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 13*s**3 - 2*s**2 + 2*s - 4. What is the units digit of g(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -704.978 - -706. Let p = j - 0.022. Suppose -5*u = 3*r + 8, 4*r - 3*r = -1. What is the second smallest value in p, u, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(5 + -1) - (-5 + 2). Suppose -4 = -2*f + j. Solve 5*u - 5*b = -30, 21 = -3*u + 7*b - f*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 - z**2 + 4*z - 3. Suppose 660 = 11*k - k. Suppose -k = -4*v - 26. What is the remainder when i(-4) is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - (-4)\/(-2)) + 0. Let m(j) = 2*j - 3. Determine m(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v**2 - 11*v + 4. What is d(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5 + 0*1\/2. Suppose -26 = -p*l - 6. Let x be 39\/12 - 1\/l. Sort x, -2, -5 in decreasing order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 196 + -43. Let w = 158 - t. Calculate the remainder when 10 + -2 + 2*2 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 900854 is divided by 267.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1754799 - 231*n - 1754799 + 267*n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i + 6. Let o be u(3). Let x be o\/3*(4 + -3). Let p = x + 1. Solve 0 = -t + p - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g - 6. Let h be c(1). Let r be 28\/140 + 1\/h. Put r, 1, -6\/7 in decreasing order.\nAnswer: 1, r, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3247332 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 41\/(-246) + 7\/6. Suppose -15 - z = -3*h - a, -h + 2*a = -10. Solve 0 = -11*u + h*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -5*b + 28, -10 = -2*n + 5*b - 34. What is the biggest value in -4, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 539897?\nAnswer: 269948.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 5*r**2 + 2 - r**3 - 5*r + 3 - 2. Let n be (1 - (-6)\/(-4))*(-41 + 33). Determine h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 - 5*y + 8. Let u be t(3). What are the prime factors of ((-1 + 2)*-2)\/(u\/(-124))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -4 + 1 - i**2 + 13*i + 0 - 7*i. Let u be y(3). Let w(j) be the first derivative of -j**4\/4 + 7*j**3\/3 - 5*j**2\/2 + 1. Determine w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/46625 and 21\/125.\nAnswer: 46625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 s, and 2 r when four letters picked without replacement from {q: 4, r: 2, a: 2, s: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 3 - 1. Let a = 0.722 - 15.422. Which is greater: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) - sqrt(88)*-1*2)\/sqrt(8) + -2)**2.\nAnswer: -12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22140805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y. Suppose 3 = 5*v + 5*m - 7, 0 = 4*m. Suppose 0 = -3*z + z + v. Let h(t) = -4*t. What is z*h(p) - 2*j(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 11, -25, -6, -5 in descending order.\nAnswer: 11, 2, -5, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.077 - 0.023. Let z = -2.1036 - r. What is z rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 81 - -68. Let y = 442 + w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 335*m**3 + 8*m**2 - 8*m + 8. Let u(h) = -112*h**3 - 3*h**2 + 3*h - 3. Calculate -3*n(k) - 8*u(k).\nAnswer: -109*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 1 + 3 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*k**2 + k**2 - 5*k**2 - 6*k)*(-k**2 + k**3 + k**2).\nAnswer: k**5 - 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10584 - -3?\nAnswer: -10581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 31*w - 29*w - 9, -3*b + 9 = 3*w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2398 - -2435. Solve 2*i + a = 47 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 4*f**2 + 2*f - 2. Let k be m(-2). Let i = 0 + k. Suppose 5*g - 3 = 2*c - i, -2*c - 4*g + 52 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*-2*sqrt(44))\/sqrt(11))\/(sqrt(24)\/sqrt(3) - -1*sqrt(200)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 106 - 106 + 4*k**2 + k**4 wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4538.\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*y - 281 = -33*y - 1073 - 423 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d**2\/5 - 5107*d\/5 = 0. What is d?\nAnswer: 0, 5107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-28 + 0)*3\/6. Let n = -3 - t. What is the highest common factor of n and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 11214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -248 (base 10) in base 5?\nAnswer: -1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 89.7 + 67?\nAnswer: 156.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 6876561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 32, 2499, 16 in ascending order.\nAnswer: 16, 32, 2499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ha when two letters picked without replacement from raeehke?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -6, 4, 3.\nAnswer: -6, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1875, 3\/7, -2\/3, 1\/8, -2, 0.1.\nAnswer: -2, -2\/3, 0.1, 1\/8, 3\/7, 1875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 201748100 and 5182520?\nAnswer: 2824473400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + i**2 - 4*i + 1. Let t be h(-3). Let b(j) = j**3 + 6*j**2 - 5*j + 6. Is 17 a factor of b(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/27208 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {u: 12, d: 1, o: 3, c: 4}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 368400*r - 368337*r - 5*r**2 + 22*r**2 as h + s*r**2 + o*r and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 28235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 2. Let g be 14 - (3 + q\/(-1)). Suppose 2*x = -0*m - 5*m + 39, 0 = -2*m - 2*x + g. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34910 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-27) - 248\/(-18). What is the highest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 206590000 to the nearest 100000.\nAnswer: 206600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in sixty-nine halves of a meter?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 11\/714, 22\/161, 3\/7 in ascending order.\nAnswer: 11\/714, 22\/161, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/54 and 121\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**4 - 97392*r**3 + 677147592*r**2 + 1838856404160*r + 1069474217281200.\nAnswer: 3*(r - 17322)**2*(r + 1090)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.1 and 1.0457.\nAnswer: -3.24167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10398257485849.78096 - 10389059500579.78095722. Let g = y - 9197985169. Let k = g + -101. Round k to seven decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 3, -0.2, 312633?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 + 4*n**2 - 6*n - 5. Let y be o(-5). Suppose 5*d + 10 = -20. Is y != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -227 + 274.5. Let f = -47 + d. What is the closest to -2\/15 in 2, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u. Let q(z) be the third derivative of 13*z**4\/24 - 22*z**2. Calculate q(r(m)).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.38 less than or equal to 167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + k**2 + 9 - 277*k - 6 - 3 as o*k**2 + m + h*k and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 267*l + 3790 = 46*l - 158*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-10)\/(-80) + 5 + -5)*3*4. Factor -3\/4*c**3 + 1\/4*c**4 - 15\/4*c**2 - j - 17\/4*c.\nAnswer: (c - 6)*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-1*(sqrt(20)\/(sqrt(120)\/sqrt(1200)) + -4 + -3 + sqrt(6)\/sqrt(3) + sqrt(2)).\nAnswer: -35 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2171 or -2059?\nAnswer: -2171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 8061*k**5 - 72573*k**4 - 120699*k**3 + 427593*k**2 - 243102*k + 720 = 0. Calculate k.\nAnswer: -3, 8\/2687, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -5840 to the nearest ten.\nAnswer: -5840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18975 and 38625?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 221, 595, 1123, 1793, 2593, 3511, 4535, 5653?\n\"Answer: -2*f**3 + 89*f**2 + 121*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 + -7215246.\nAnswer: -7215246.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 8 = -4*v, 0*m + 2*v - 14 = -4*m. What is the units digit of (m - 0) + (-5050)\/(-10 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-4*sqrt(35) - ((sqrt(560) + 3*sqrt(560) - sqrt(560)) + sqrt(560)))\/(((-2*sqrt(80) + sqrt(80))\/sqrt(4))\/(1*sqrt(64))).\nAnswer: 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (7 - 140\/15)\/((-21)\/9). Solve -3*x - 2*l = -4, 6 - g = 5*x + 5*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - 57965094866.\nAnswer: -57965094871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-372)\/(-310)*(-10)\/4)\/(3\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23599 is divided by 117.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 5*r**2 + 2*r - 17. Calculate b(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 - 17*u + 20. What is f(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 + 2)*(-1 + 1 - 1) - 3 + 3 + 3)*(x**2 + 4*x**2 - x**2).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -5*a - 20, -2*a = -5*r - 0*a + 15. Let i(u) = 1. Let t(v) = v + 2. What is r*t(z) - 5*i(z)?\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 85083825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 168 and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = 3*m + 4*r - 31, 0 = 2*m + 4*r + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/(6\/2) - -771) + 4. Suppose -4*t + 32 - p = 0. What is the common denominator of 61\/9 and 3 + (-34)\/12 - t\/396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 535786711 and 21.\nAnswer: 535786732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4 - (-2 + (-1 - 1)). Solve -4*n + 16 = j, 4 = 4*o + o + n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r - 2*r + r)*(-r**3 + 0*r**3 + 2*r**3)*(0 - 4 + 1).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 9*l = 8*l + 19, -10 = 2*z - 5*l. Suppose z*x - 3*s - 27 = 0, 4*x + 3*s - 41 = -14. Solve 2*b = -x*b - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 152, 6, 4, -3 in descending order.\nAnswer: 152, 6, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(171) + ((-4*sqrt(38))\/sqrt(2))**2 + -3.\nAnswer: -18*sqrt(19) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3761897?\nAnswer: 3761897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*w**3 + 19*w**2 + 4*w + 31.\nAnswer: 60*w + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 4*q + 31 = -4*k, -2*q + 5*k + 23 = 0. Suppose h - 19 = -3. What is the remainder when h is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0164 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*l**2 + 22*l**2 - 91*l**2 + 22*l**2 + 21*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, g: 1}. What is prob of picking 2 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -17 - -5549?\nAnswer: 5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-1\/12)*t\/((t**(4\/5)*t)\/t)*(t\/(t\/t**(-2)))**(1\/31) assuming t is positive.\nAnswer: t**(97\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + 4*q**2 + 12*q + 2. Let k be n(6). Suppose -5*f - 10 - 21 = r, 3*f + 27 = -k*r. Let a(j) = j**3 + 5*j**2 - 6*j + 7. Give a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - a - 13448, -8*a + 6*a = -3*n + 40339. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3944 or 3952?\nAnswer: 3952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(24\/9)*116\/(-870).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22022020 (base 3) to base 9.\nAnswer: -8266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.14 + 0.16. Let d be (114\/(-34))\/3 - -1. Which is the third smallest value?  (a) -1  (b) f  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**3 + 10*u**2 + 160*u - 480.\nAnswer: -5*(u - 4)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -19*u**2 - 9*u + 4. Calculate x(-3).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**13\/(m\/m**(-16)) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 74 = -3*u + 8*u, 3*k - 52 = -2*u. Let w = k - 14. What is the biggest value in -1, w, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.12 + -2.12. Which is the nearest to 2\/5?  (a) 0  (b) -4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 7*z + 8*z - 16*z - 1. Give b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence faa when three letters picked without replacement from {a: 2, f: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q**5 - 155*q**4 + 855*q**3 + 7115*q**2 - 25160*q + 17340 = 0. Calculate q.\nAnswer: -6, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -28*z**3 + 7*z + 7. Let o(a) = -27*a**3 + 7*a + 5. Let k(v) = 7*o(v) - 6*x(v). Let g(l) = -11*l**3 + 4*l - 4. Determine 7*g(h) - 4*k(h).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -120 or -17313\/146?\nAnswer: -17313\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 AM and 6:00 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 31*c - 54. What are the prime factors of m(4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -26*w - 24. Let m(z) = z + 3. Calculate -18*m(k) - 2*n(k).\nAnswer: 34*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -489 in 2, 4, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/4 and 169\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 12*u - 5 - 7*u + 3. Let m(v) = v**2 - 5*v + 7. Let f be m(5). Let p(r) = r - 5. Let o be p(8). Let h(k) = -11*k + 5. Calculate f*w(x) + o*h(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-58)\/(-2))\/(25\/(-25))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-6))\/(4\/(-8)). Let v = 4.99197 + 0.00803. Let j = -0.38 - -0.28. Which is the nearest to j?  (a) -2\/25  (b) v  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2636 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/((-48)\/(-18))*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 - 162 = -9*n. Let f be (n - 2) + 1\/(-1). Is f + (-4 - (-1)\/1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 487 + -485. Suppose -5*r + r = 3*n - 311, -n - d*r = -103. What is the highest common factor of n and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 47 = 69. Suppose -4*d = l + 147, -4*d - 3*l = 95 + s. What is the common denominator of 11\/7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 14*z**2. Let p(b) = -4332*b**2 + 152. Let h(f) = 85*f**2 - 3. Let l(i) = -456*h(i) - 9*p(i). Give n(l(s)).\nAnswer: 727776*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -3*z**2 + 87*z - 271. Is l(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 16*b - 2. What are the prime factors of a(3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/(r\/(((r*r**(-4))\/r)\/r*r)))**(-3))**(-39)*(((r\/((r**(-4)\/r)\/r)*r)\/r)\/r)\/(r\/r**(1\/8))*r\/(r\/(r*r**7))*r*r\/r**(-9) assuming r is positive.\nAnswer: r**(-2615\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0719696024 and 56?\nAnswer: 56.0719696024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2013 (base 4) to base 9\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ywzwzizizihzziyhwm. Give prob of picking 1 h and 1 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 10  (c) -929\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -l**4\/12 + l**3 - 4*l**2 + 32*l. Calculate g(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -0.568, -1\/39.\nAnswer: -0.568, -1\/39, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + 13*g**2 + 23*g + 11. Let m be h(-11). Suppose 79 - 7 = 3*f - 5*b, m = -f - 4*b + 41. Let z = f - 8. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -58, -57, -56, -55, -54?\n\"Answer: b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -72 + -104. Let x = -162 - p. What is the least common multiple of 39 - 4 - 6\/2 and x?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4594941 or -4594918?\nAnswer: -4594918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (3*4\/(-30))\/((-83)\/15 + 5)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*a + 5*a**5 + 14 - 9*a - 2 - 113*a**3 - 24*a wrt a.\nAnswer: 100*a**3 - 678*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 130733751 divided by -831.\nAnswer: -157321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14*k**2*p**2 - 164398*k**2 - 3198*p**2 wrt p?\nAnswer: -28*k**2*p - 6396*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + 69*j**2 + 681*j - 206. What is a(-57)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (2\/8*(-4)\/13)\/((-539)\/(-5390))\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -103140 + 0?\nAnswer: -103140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 5*x - 191, -2*g + 4*g - x - 171 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -20*v**4\/3 + 56*v**3 - 304*v**2\/3 + 32*v = 0.\nAnswer: 0, 2\/5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/9 + (50\/(-9))\/(-2). Let k = -11.02 - -10.92. What is the nearest to -1 in f, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5882110 by -1.\nAnswer: 5882110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2117, 2126, 2133, 2138?\nAnswer: 2141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 479.08 less than 0?\nAnswer: -479.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 6328*g**3 + 30*g**2 - 5*g + 9. Let k(o) = 3167*o**3 + 14*o**2 - 5*o + 4. Let w(t) = -9*k(t) + 4*v(t). What is the third derivative of w(h) wrt h?\nAnswer: -19146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 871206048 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 118 - 104. Solve 3*r = -5*n - u, -5*r + n = -0 - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z + 4. Suppose 4*w - 12 = -5*c - 49, -4*w = -c + 7. What is the remainder when 16 is divided by m(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -2240?\nAnswer: -2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 3:34 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*p**3 - 11*p**3 - 5*p**2 + 0*p**2 + 5*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 18 = 4*b, -81*h = -117*h + b - 4*b + 159 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -216 - -216.000388. What is v rounded to five dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 - 3057 = -3*m. Find the third derivative of 2015*w - m*w - 1006*w + 93*w**4 + 54*w**2 wrt w.\nAnswer: 2232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 246708.\nAnswer: 246708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1024131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 4789.215 years?\nAnswer: 47.89215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2 - (1 + (-267)\/12) and (736\/1920)\/(-1*1\/3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3402 or 114\/17?\nAnswer: -3402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 1\/4, 52, -0.1, -7.42?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154527.\nAnswer: 3, 19, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 200802.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -10370*l - 72583. What is d(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of 1\/4*x**4 + 0*x - 3*x**2 + 0*x**3 - 1\/120*x**6 - 1\/12*x**5 + 0. Determine z(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -3*p - 285, 5*p + 438 = -3*a + 7*a. What is the remainder when 8 is divided by (-25)\/(-9) + (-20)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t + 21. Let m be p(-15). Is -10 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**18*k\/(k*k**(2\/27)))\/(k\/((k\/k**(-31))\/k)*k)**(-45) assuming k is positive.\nAnswer: k**(-34751\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 2*z**3\/3 + 31870*z**2\/3 + 127009904*z\/3 + 126914312 = 0?\nAnswer: -7966, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-4) + -1147*4\/(-5456)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-48)\/8 - 35628\/17888*-3 and -57\/8.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 + 66*j - 1. Determine d(-33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1010031 + 1?\nAnswer: -1010030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -167, 1, 3, -8, -4, -1 in ascending order.\nAnswer: -167, -8, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72513?\nAnswer: 3, 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -99.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 146201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/15 - (-12192)\/20. Suppose 5*p + l = 129. What are the prime factors of (-3)\/(-5) + p\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3782 divided by -2.\nAnswer: -1891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 77 + -157. Let k = x + 80.00000053. What is k rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-3))\/((-45)\/(50\/(-10))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 59402187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -x + 9, -2*x - 4*w = -18 + 2. Suppose 5*y - x*y = -4. Suppose 199 = p - 0*v - y*v, p - 3*v = 194. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 f when four letters picked without replacement from ebfezzkfeefzbf?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 24756 divided by -8252\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-243)\/(-972))\/((-22)\/(-64)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yrrrixirrnnn. Give prob of sequence yix.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -99440, -99427, -99414, -99401, -99388, -99375?\n\"Answer: 13*k - 99453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -23d (base 15) in base 10?\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -188*c + 190*c - 45083, -5*c - 5*f + 112670 = 0. What are the prime factors of c?\nAnswer: 13, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 4 = t. Suppose -t - 4 = 4*p. Let q be 2 - (p + 4) - -5. What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-9) - (-532)\/12. List the prime factors of (20\/6)\/(15\/a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pjjjpnpjppplpppml. Give prob of sequence jm.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -260*c**4*p - 712*c**3*p + 5*c**2*p - c**2 + 641*c + 12*p wrt c.\nAnswer: -6240*c*p - 4272*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*-2 + ((-990)\/(-132) - 2\/4). Suppose -5*b + 8 = -b. Suppose -6*z + b*z + 20 = 0. Solve -w - z = -v*t + 4, 0 = -5*w - 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -3*z**3 + 2*z + 1. Let i be p(-1). Let o = 3.8 - 3.94. Let w = 1.86 - o. Which is the closest to i?  (a) -5  (b) -0.2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-2*2*sqrt(88))\/(3*sqrt(40)\/sqrt(5)) + (0 + sqrt(88)\/sqrt(2))**2 + 2.\nAnswer: -4*sqrt(11)\/3 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o**3 + 19*o**2 + 10*o + 2. Let d be m(10). Let y be 1\/(-40)*-24 - d\/(-30). What is the smallest value in 1\/3, 5, -0.03, y?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -10*f. Let b(k) = -6*k - 6. Give b(z(i)).\nAnswer: 60*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19438*p*r**2 - 3*p*r - 24*p + 15367*r**4 + 105*r + 215 wrt r?\nAnswer: -38876*p + 184404*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d**2 + 3*d + 248. Let i be g(0). Suppose 2*u = -3*u - y + 1208, u - i = 3*y. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9\/2*20\/6. Suppose -2*f - r = -3*f. Suppose -5*q + 15 = -5*y, -5*y - 3*q + 31 = 6. Solve -y*n = 3*n + f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3810, 7617, 11424, 15231, 19038?\n\"Answer: 3807*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3\/2  (b) -4  (c) -22398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/6787866 and -58\/285471?\nAnswer: 61090794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 v when three letters picked without replacement from {s: 2, v: 11}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1229 + 1521. What is the remainder when d is divided by 148?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22001, -21475, -20061, -17315, -12793, -6051, 3355, 15869?\nAnswer: 31935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -l**5\/20 - 7*l**4\/6 - l**2 - 41*l + 25. Let s(u) = -u**3 - 14*u**2 - 3. Give -3*g(o) + 2*s(o).\nAnswer: o**3 + 14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1112534312.\nAnswer: 2, 103, 1153, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2444)\/(-12) + 2\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77, -123, -185, -251, -309, -347?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p**2 - p**2 + p**5 + 0*p**2)*(2 + 36 - 6).\nAnswer: 32*p**5 - 128*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 18 + 10 = 0. Suppose 1 + 1 = -2*k. Let a(s) = s + 7. Let r(f) = -1. Let j(c) = k*a(c) - 6*r(c). Calculate j(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -476*v = -510*v - 1326 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h - 8 = -5*q + 11*h, -3*q + 4*h + 16 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2001839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + -53?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2 + 0 = 0. Let j be x\/6 - (4 + -5). Solve -2\/3*p**2 + 2\/3*p + j = 0 for p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -7, -44, -99, -166, -239, -312?\n\"Answer: r**3 - 15*r**2 + r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - b + 0*b)*(-2*b - 3*b + 6*b) + (-3*b + 2 - 2)*(-2*b - b + 0*b) + 69 - 69 + 13*b**2.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3124840 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(2) + -1 + -3 + -1.\nAnswer: -10 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 3 - 1) + 7. Suppose 0 = -k*i + 6 + 19. Suppose i*g - 33 = 147. What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -7*d + 352. Determine t(0).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.3 or 7859936?\nAnswer: 7859936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1923*k**2*n - 1482*k**2 - 5*k*n wrt n.\nAnswer: 1923*k**2 - 5*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 2:12 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 3*m**2 + 4*m + 4. Let z be l(-4). Let s be 12\/(-30) + (-34)\/(-10). Solve z*q = 3*v + 5 - 0, 2*q + 5 = s*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -83775, -167542, -251307, -335070?\n\"Answer: c**2 - 83770*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88)*-2*-3)\/(sqrt(32)*-5))**2.\nAnswer: 99\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -183 - 167 = 25*v. Let i(u) = 2*u + 23. What is i(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -183*d**3 - 193*d**3 - 85*d**3 + 495*d**3 + d**2 - 3*d**2.\nAnswer: 34*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 141, 319, 577, 957, 1501, 2251, 3249, 4537?\nAnswer: 6157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 195, 384, 561, 720, 855, 960, 1029?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/1128 and -133\/36.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 4  (c) -453\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.09, 134, -23, 1\/3, -0.1, -9, 0.2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 1.8. Let q = 1.5 - 2. Let k = -15570 + 15567. Which is the third biggest value?  (a) q  (b) k  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1271*k + 325695 - 325695)*(4 + 2*k - 4)*(-4*k**2 + 0*k**2 + 2*k**2) in the form v*k**2 + f + l*k**3 + m*k**4 + i*k and give m.\nAnswer: -5084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - -14. Let v = i + -11. Sort 1\/6, v, 0.3.\nAnswer: 1\/6, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 275923667 to the power of 1\/2, to the nearest integer?\nAnswer: 16611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 131 = 39. Calculate the remainder when 63 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2986861 rounded to 3 dps?\nAnswer: -0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21 - -29. Let s = w + -7.8. Let k = 0.87 - -0.13. Which is the nearest to k?  (a) 0.7  (b) s  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53c33 (base 13) in base 12?\nAnswer: -737a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43108284?\nAnswer: 2, 3, 163, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of p**6\/600 + p**5\/150 - 16*p**2. Determine n, given that r(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/7, -0.17, -7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1949.6 and 0.3.\nAnswer: -1949.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -5. Let g(k) = -4*k + 1. What are the prime factors of g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/10 and -113\/290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 106758414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14601*w**2 + 1095029*w - 3450.\nAnswer: (w + 75)*(14601*w - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 163 - 159. Sort 0, -1, g in descending order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 37, 113, 225, 373, 557, 777?\n\"Answer: 18*t**2 + 22*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**2 + 119*f - 1357. Calculate n(11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*d - 10*d + 3078. Suppose 3*g + d = 162. Let k = 1 - 2. What is the closest to k in g, 2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (74 - (22 - -71)) + -90 + -7\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*i - 4*i - 440. Let c = i + -34. Let t(s) = -s**2 + 5*s - 2. What is the remainder when c is divided by t(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 - 11. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t - 2*t + 2*t)*(t + 6*t + 0*t)*(-1 + 2 - 2).\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*r**2*t**3*v**2 + 2504*r**2*t*v**2 - 2*r*t**3*v**2 + 2*r*t**2 + 2*r*t*v**2 - 3*t**3*v + 135*t*v wrt r?\nAnswer: 8*t**3*v**2 + 5008*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*m + 222 + 504 = 924 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -26293*j*w + 53*j - 106 wrt w?\nAnswer: -26293*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -b**3 + 23824*b**2 + 23825*b = 0.\nAnswer: -1, 0, 23825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 times 3399.52?\nAnswer: 118983.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 15 + 58c?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/96 and 115\/816.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from ydiywyygnywywgiyy?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + -15. Let l = r + 22. Which is the closest to 0?  (a) 4\/3  (b) 9  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11 and -17.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + ((-690)\/24 - -30)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -880*u - 884*u - 884*u - 1012*u - 888*u + 5503*u - 954*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/19?  (a) -1\/3  (b) 60  (c) 0.1  (d) 0  (e) 0.4  (f) 468\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + 1 + 2 + 1. Suppose 0 = -6*k + n*k + 321. Let j = k - 48. What are the prime factors of j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 76092*b**4*i**2 - 26*b**4*i + 10909*b**2 - 52*i**2 wrt b.\nAnswer: 1826208*b*i**2 - 624*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -4*g**2 + g - 2. Let n(o) = 11*o**2 - 3*o + 5. Let y(u) = 8*a(u) + 3*n(u). Let r(j) = 7*j**2 - 7*j - 5. Determine r(p) - 5*y(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + -6)\/1 + (-12)\/(-102)*130754\/2568?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + 1120011?\nAnswer: 1120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2052020 - -215?\nAnswer: -2051401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -51789 greater than or equal to -51793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 12910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.09 and 0.02?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -402*o + 405*o - 1959 = 0. Let i = -625 + o. Calculate the greatest common factor of 126 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 618747 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 46 = -48 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -48 - 50 + 96 - 8*w + 5*w. Let v(p) = 9*p + 1. Let u be v(-3). What are the prime factors of a(u)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 843\/8 - 105. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 2*i**2 + 4*i + 9. Determine h(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i**2 + 12*i + 20. Let q be b(-4). What is the highest common divisor of 38 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = p - 42, 2*p - 57 = 5*i + 32. Let s(k) = -185*k - 5 - 2 + p*k. What are the prime factors of s(-2)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 8:39 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 - 18*y**2 + 68*y - 225. What is the smallest common multiple of 32 and d(-27)?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 262*w**2 + 156*w - 305*w**2 + 154*w - 299*w.\nAnswer: -43*w**2 + 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17)\/(-2))\/((-5474)\/(-19964))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o**4 + 69*o**3 + 5579*o**2 + 12834*o + 4032 = 0. What is o?\nAnswer: -21, -2, -3\/8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251336243.\nAnswer: 29, 8666767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3*m - 10 = 0. Let b = m + 4. What is the units digit of (-5)\/b*36\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + (-5 - -19) + (-5 - (29 + -12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*z + 944 + 63 = 107. Solve -n + p = -3, -3*n - 4*p = z + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xuoxxvxwwbwxxwxxuowv. Give prob of picking 2 v, 1 u, and 1 o.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/493633, 0.39, 5 in increasing order.\nAnswer: -2\/493633, 0.39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1380 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 509070 = -16*y - 8*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, 1, -5, -497, 0 in descending order.\nAnswer: 5, 2, 1, 0, -5, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/72 and 53\/34176.\nAnswer: 102528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/138784 and 133\/72?\nAnswer: 1249056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -14509 at least as big as -14509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 + 0*x**2 - 1536 - 6*x + 12*x**2 + 1537. Calculate u(-13).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17504522, 17504512, 17504502, 17504492?\nAnswer: 17504482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*b + 57*b = 198. Suppose -2*l = -0*l + 212. Let w = l + 204. What is the remainder when w is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 358 times -0.26493?\nAnswer: -94.84494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6529\/9 - 724. What is the common denominator of 70\/(-36) - (-3 + 2) and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*w + 0*w - 10 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 51588?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + 0 + (-12)\/(-2). Solve -f*c + 1 = -2*z - c, -15 = -3*z - 4*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -780  (b) 0.3  (c) 486  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3156045.\nAnswer: 3, 5, 210403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 33 + -37 - (1 + (0 - 9) + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3607007695 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -232033020 (base 4) in base 6?\nAnswer: -4020440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*k = 3809149 - 3810679 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/6*1*40\/70.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes before 9:50 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 2*m**3\/15 + 4*m**2\/15 - 614*m\/15 + 608\/15 = 0.\nAnswer: -19, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -108, -605, -1888, -4347, -8372, -14353?\n\"Answer: -65*x**3 - 3*x**2 - 33*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -5*g + 4. What is r(5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the second derivative of -9*z**5\/100 - 221*z**4\/5 + 1774*z**3\/15 - 592*z**2\/5 - 5*z - 683. Determine f, given that h(f) = 0.\nAnswer: -296, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*t + 0)*(-t**3 - t**3 - 2*t**3 + (-1 - 1 + 4)*(t**3 + 2*t**3 - 5*t**3) + t**3 + 0 + 0 - 3*t + 3*t - t**3).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 95\/426 - 4\/71. Let u = -7.3 + 7. Which is the third smallest value?  (a) u  (b) g  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -100*j. Let q(b) = 69*b**2. Give y(q(i)).\nAnswer: -6900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 4*g + 51329992, -16*g + 10266004 = x - 18*g. What is x rounded to the nearest 100000?\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2231372555.\nAnswer: 5, 43, 10378477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3135793 a multiple of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -45.68717 - -45.13. What is a rounded to 3 dps?\nAnswer: -0.557","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -218892 divided by -109446\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -2\/11171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, t: 1, e: 1, z: 6, q: 2}. What is prob of picking 2 e, 1 t, and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*a**4 - 3*a**2 - 5*a**4 - 8*a**4 + 2*a to x*a**2 + y + k*a**4 + u*a + p*a**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6736 - 202121\/30. What is the common denominator of 137\/70 and g?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/3*9450\/(-20))\/((-1305)\/(-870)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -39, -52, -65, -78, -91?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-27)\/(-567))\/(6\/14)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - j = -13, -2*x = -0*x - 2*j + 2. Suppose -4*i + 11 = -x*i. What is the remainder when 33 + 1\/(-1) + -1 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 34*u - 2 + 5*u**3 + 0 - 2*u**3.\nAnswer: 3*u**3 - 34*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 6 = -2*j. Let x = 17 + -9. What is the remainder when x is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2*g - 11. Let m be l(-7). Suppose -2*p + m*r + 48 = 0, -p + 6 = 3*r - 27. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (-1776)\/248)*10\/(-400)*8?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 8:11 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 163*h = 159*h. Is h at least -5\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1108052 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -2*y**2\/9 + 178*y\/9 + 20 = 0.\nAnswer: -1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 209 + 216. Suppose -3*l - 51 = -3*n, -6*n - s = 5*l - 2*n. Let j be 1\/(-1)*(l - 0). Calculate the highest common factor of j and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -66 + 58. What are the prime factors of (-4)\/n + (-6)\/((-36)\/1749)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29 - 38 - 88) + 25.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (1 - (-8 - (9 - 20)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2316594, -4633170, -6949718, -9266238?\nAnswer: -11582730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*q + q. Calculate the smallest common multiple of (4\/3)\/((-3)\/(-45)) and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94084932 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 21 = -l, -3*y + 0*y + 35 = -2*l. Let i = y + -8. Differentiate x**3 - 1 + x**3 + 0*x**i wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of -j**5\/20 - j**4\/24 - 11*j**3\/3 + 3*j + 10. Let l(z) be the second derivative of c(z). Give l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 + 7*n**2 + 5*n - 4. Let i be s(-6). Let k be (-20)\/(-6)*12\/10. Suppose 3*z = i*d - 83, 125 = k*d - 4*z - 51. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18578 - 18569. Solve -9*n + 56 = -4*v, -3*v = 3*n + u - 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.6215298 rounded to three dps?\nAnswer: 5.622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/5 + 15278*i**2\/5 + 30542*i\/5 - 45822\/5.\nAnswer: 2*(i - 1)*(i + 3)*(i + 7637)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -124.24 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.06, 4, -3\/22, 0 in decreasing order.\nAnswer: 4, 0.06, 0, -3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*a - 120*a - 54*a.\nAnswer: -210*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/((3\/(-7))\/(-3)). Suppose -5*r + 0*r = 35. Let q = r + n. Calculate the greatest common divisor of 63 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -255802 take away -4?\nAnswer: -255798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 32, 3, -25, -11, 1, -10.\nAnswer: -25, -11, -10, -5, 1, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 114 by -41.\nAnswer: -114\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5426.047 millennia in centuries?\nAnswer: 54260.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnauuuunnuunnn. What is prob of sequence aunn?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110*d + 98*d + 504 = 0. Calculate the remainder when 3400 is divided by d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1428301.\nAnswer: 7, 103, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 3\/767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**3 + 36*t**2 - 80*t - 1177. Determine l(-20).\nAnswer: -1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 81*k + 77*k - 6 - 153*k + (-2*k + k + 2*k)*(-3 + 0 + 4) + 2*k + 0 + 0 + 2*k - 3*k - k.\nAnswer: 6*k - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 109*j**3 + 233*j**2 + 16*j - 24 wrt j?\nAnswer: 654*j + 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 24*z - 973 + 213 = 3*z for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -92056.\nAnswer: 1\/46028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(-1*3) - -25. Let b = o + -9. Suppose r + u + 3*u = -4, 4*u + b = -4*r. Sort r, 0.2, -0.3 in increasing order.\nAnswer: r, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 50 - 34. What is the remainder when 44 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -2*t**2 + 124*t - 1622. Give h(18).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -1, 116, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in -0.0151, 11, 0.2, 268?\nAnswer: -0.0151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*r - 295*r - 37436 = 0. Do 35 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*g**2 - 84*g + 392 = 0. What is g?\nAnswer: 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189*j - 4*j - 4579 = -268*j - 15904 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/14 - 61330\/(-70). Suppose -t = 4*j + 2*q, -4*j + 3*j + 4*q = 228. Let y = -130 - j. What is the highest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1828 - -19809. What are the prime factors of z?\nAnswer: 17981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-78)\/(-624)*-84)\/((-2)\/(-4)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 2 = 4*u, -5*m = 3*u - 7. What is the hundreds digit of m\/(-5) + (-4086)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fcccffc. What is prob of picking 3 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence abp when three letters picked without replacement from abaeavvbbvaapav.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in 2\/11, 0, 5, 586.04, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of -n**7\/70 - n**6\/10 + 4*n**5\/5 + 2*n**4 - 24*n**3 + 74*n**2 - 1. What is h in v(h) = 0?\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c**4 + 2*c**4 - 2*c**5 + (0 + 0 + 2*c)*(-c**2 + c**2 + 2*c**4) - 955*c**5 - 5845*c**5 + 29500*c**5 + 3143*c**5 + 14310*c**5.\nAnswer: 40155*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 40*j**2 - 569*j + 112. Give g(13).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p - 13*p = -25. Suppose 3*f = p*i - 3*i + 40, -2*f = 5*i - 52. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 1 + (9 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.9979914 rounded to 1 dp?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11775523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**2 + 8*h**2 + 30*h + 323 + 313 - 949 + 321.\nAnswer: 9*h**2 + 30*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 divided by 1445342?\nAnswer: 19\/1445342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 321 - 212?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2009*v + 239.\nAnswer: 2009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m**2 - 12*m + 5. What is i(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 15\/5)*(2 - (25 + -21)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0 + (1 + 0 + 1)*(-6 + 4 + 1))*(6*d + 5*d - 3*d)*(-4*d**3 + 3*d**3 - d**3) + 84*d**2 + 36*d**4 - 84*d**2.\nAnswer: 84*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 46*n - 1275 + 373 - 156 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 940803667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 - h - 12. Let l be t(0). Calculate the common denominator of (3 - (-22)\/l)\/1 and 83\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12703853 and 21819.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3\/5)\/(i*i**5))\/((i\/i**(5\/2))\/(i**6\/i)))\/((i*i\/(i*i\/(i\/(i*(i**(-1)\/i)\/i))))**(-19))**(3\/11) assuming i is positive.\nAnswer: i**(1699\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 2*p + v - 6, 0 = 2*p + 4*v - 18. Suppose -p*d + 25 = 5*w, 4*d - 32 + 2 = -5*w. Let x = -4 + 1. Put x, d, 3 in increasing order.\nAnswer: x, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 888.5581 litres to millilitres.\nAnswer: 888558.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 5*n = -32, 4*s - 57 = 5*n - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -3*w + 29. Let p be o(9). Solve p = -2*j - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = 3*o - 12, 4*o - c + 15 = -6*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmj when three letters picked without replacement from {j: 3, t: 2, m: 5, u: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405)*-2*-5 - (-2 + sqrt(20)\/sqrt(4) - (sqrt(5) + -1*sqrt(5))*-3).\nAnswer: 2 + 89*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(((a\/(a\/((a**8\/a)\/a))*a)\/a)\/a))**(-45)*a*a**21*a**(-1\/6) assuming a is positive.\nAnswer: a**(1211\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from gpivivvv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 10952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-32)\/(4 - 246\/60). Let k = -183 + x. Calculate the remainder when k is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 378 + -146. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/((a*a\/(a**2*a))\/a*a)*a)\/a)**(1\/12))**(5\/6)\/(((a\/((a\/(a\/a**(-4\/7))*a)\/a))\/a*a)\/(a**(-1\/4)*a))**16 assuming a is positive.\nAnswer: a**(-3277\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**3 - 11*o**2 - 6*o + 7. Let l be j(8). Let p be 32 + -14 - 16 - -29. Calculate the greatest common factor of p and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 5 = -0. Let k = 21 - -16. What is the remainder when k is divided by 2*x*(-26)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182170 is divided by 36427?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -2 + (-1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**5\/11 - 1996*y**4\/11 + 464146*y**3\/11 + 1577408*y**2 - 82861440*y\/11 - 4888627200\/11 = 0. Calculate y.\nAnswer: -24, 16, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1405*s + 0 - 1 - 3 - 3.\nAnswer: 1405*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4798 - 3441 - 51974*u + 64916 + 51972*u - 5*u + 6*u + 0*u + (-3 + 2*u + 3)*(4 + 3 - 6).\nAnswer: u + 66273","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 2 + 7 - 12 - 18340*t**2.\nAnswer: -18340*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 67, 139, 249, 409, 631, 927, 1309?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -222631, -222820, -223131, -223558, -224095, -224736, -225475?\n\"Answer: u**3 - 67*u**2 + 5*u - 222570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 - 1. Let u(d) = d**3 + 10*d**2 + 6*d - 6. Let q(n) = 2*p(n) + u(n). Suppose l + 9 = 2*m, 5*l - 5*m - 13 = -53. Calculate q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 6\/240847?\nAnswer: 6\/240847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, q: 4, x: 2, o: 1}. What is prob of picking 2 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of a**3\/3 - a**2\/2 - 9. Let f(t) = 8*t**2 - 6*t. Let c(i) = f(i) - 6*o(i). Let g(q) = 0*q + 0*q + 4*q. Give g(c(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -65 by -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136448840?\nAnswer: 2, 5, 11, 310111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -213 or -24361?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 90283171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 315\/(-126)*-1*(24\/10)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) 3\/32  (c) 0.5  (d) -0.097  (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, w: 2, p: 1, d: 2, x: 3, e: 3}. Give prob of sequence exox.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22275672 is divided by 322.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 1:42 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.07386 and -0.3.\nAnswer: -0.022158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (10 - (-3 - -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/14)\/(278\/(-4865))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -516 (base 13) to base 10.\nAnswer: -864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4*j - 48. Let b(x) = 7*x**2 - 23. Determine o(b(m)).\nAnswer: 28*m**2 - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 399999 is divided by 885.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 313?  (a) 0.4  (b) 13  (c) 3  (d) -5  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 - 28 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/7  (b) -2\/9  (c) 1\/6  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9220260 to the power of 1\/2, to the nearest integer?\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(128)*2)**2 + (5*(sqrt(128) + -3))**2.\nAnswer: -1200*sqrt(2) + 8033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c - 3048 = 122. List the prime factors of c.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -82c7a (base 13) to base 15.\nAnswer: -49976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of -k**6\/40 + k**5\/60 - k**2\/2 - 3*k. Let w(b) be the first derivative of m(b). Find u such that w(u) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203*w = -209*w + 378. Let p be 111\/12 - (-1)\/(-4). Calculate the greatest common divisor of w and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*n*y**2 + 25*n + 1674*y**3 - y**2 + 3909 wrt y.\nAnswer: 20*n*y + 5022*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*s, 0 = -3*n - n - s - 18. Which is smaller: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 58 + (10 - 28)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = 7*g - 22*g + 69, 17*g + 54 = -6*x - 23*g + 42*g for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4 + sqrt(3)*-2*3 + 1)*-5.\nAnswer: 25 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 266, -74, 6 in increasing order.\nAnswer: -74, 6, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-3) + 70\/21. Suppose -o + 4 + f = 0. Suppose -3*v - d + 3 = 4*d, -4*d = 0. Calculate the lowest common multiple of v and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2732 - -5487. Suppose 5*z = -5*u + b, -70*z + 69*z - 5*u + 551 = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((((g*g\/((g**(1\/4)*g)\/g))\/g*g*g)\/g)\/g))**(-33\/5)*(g*g**(-1\/7))\/g**(-9) assuming g is positive.\nAnswer: g**(1149\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1063811592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5ac1 - 243?\nAnswer: -5d24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22\/7 and -71\/57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -8968, -17936, -26904, -35872, -44840, -53808?\n\"Answer: -8968*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 518062465.03247 from 0.\nAnswer: -518062465.03247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 31365376 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(12\/7))**(-21)\/(u\/((u**(-20)*u*u)\/u*u))**(-46))**(-2\/41) assuming u is positive.\nAnswer: u**(-1676\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 3*t = t - 8, -q - 12 = 3*t. Suppose q = 5*w - 4*b - 42 - 14, -b + 25 = 2*w. 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: b\"What is the oth term of -1, -13, -29, -49, -73, -101, -133?\n\"Answer: -2*o**2 - 6*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8647, -8650, -8655, -8662, -8671, -8682?\nAnswer: -8695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5671624 and 17416?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 57 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kqkqkqqqqqqkr. What is prob of picking 3 k and 1 q?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5936824 is divided by 424.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -87  (b) 2\/163  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 at most as big as 230237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -161, -5, -2, -2805, -4 in decreasing order.\nAnswer: -2, -4, -5, -161, -2805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1037*y**2 - 353*y**2 - 369*y**2 - 345*y**2.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22 + -1202?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**2 - 3 + 3)*(-1 - 16*i - i + 4).\nAnswer: 17*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3317 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of 4*k + 0 - 1\/5*k**5 + 1\/3*k**4 - 1\/5*k**6 + k**2 + k**3 - 1\/21*k**7. Find r such that a(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -140.968 + -0.032. Let v = 139 + l. Let s = 4.6 - -0.4. Which is the closest to -0.2?  (a) 1\/2  (b) v  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -88694.6.\nAnswer: -44347.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of -r**4\/24 + 3*r**3\/2 + r**2. Let t be s(6). Solve -5*l = 8 - t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0 and -21843.3902148173?\nAnswer: 21843.3902148173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -383\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/72)\/((1\/(-6))\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*i - 19 + 7, 3*i = -2*d + 23. Suppose -4*x - 22 = 5*h - 6*x, 3*h + 3*x + 9 = 0. Sort d, 3, h in descending order.\nAnswer: d, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, z: 3, b: 1, u: 5, y: 6, a: 2}. What is prob of picking 1 y, 1 r, and 1 u?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 9*o**2 + 12*o - 12. Let y(c) = -2*c**2 + c - 1 + 0*c**2 + 6*c**2 - 3*c**2. Let d(h) = -3*w(h) + 36*y(h). Let x(a) = a. What is d(x(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 517, 18, -3 in descending order.\nAnswer: 517, 18, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (350\/70)\/(18\/(-108))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4208777 to the nearest integer?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 16020941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 5:27 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4*4*(sqrt(7) + sqrt(7)*3 + 3 - sqrt(7))*3*-1*-2)**2.\nAnswer: 497664*sqrt(7) + 1990656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1249 - 1216. What is the highest common factor of o and 286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + -111010?\nAnswer: -110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1165?\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnnc when four letters picked without replacement from {c: 2, n: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-66)\/110)\/((-2)\/(-10)). What is the closest to 0 in 2, 26, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15977 - 31.1?\nAnswer: -16008.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-2\/9)\/(r\/((r*r**0*r)\/r*r)))\/(r**(-1)*r*r**1))**(-17))**9 assuming r is positive.\nAnswer: r**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.5 + 12. Let x = 9 - f. Round x to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.1, -9, -5, 22 in decreasing order.\nAnswer: 22, 0, -0.1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c. Let q = -16 - -11. Let o(h) be the third derivative of h**4\/8 - h**3\/6 + h**2. What is q*s(u) - 2*o(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/(-2))\/(13\/(-806)). Let c = k + 48. Find the second derivative of 7*p - c*p + p**3 + 11*p wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -64676\/429 or -152?\nAnswer: -64676\/429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 16847181 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 197 = 7*c - 146. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**3 + 64*q**2 + 1808*q - 3840.\nAnswer: -4*(q - 30)*(q - 2)*(q + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 3*m - 3 = 0, -5*m - 6 = 2*u - 4*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5018041*y**3 + 7411593*y**2 wrt y.\nAnswer: 30108246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k - 76. Let g be u(-38). Let y(m) be the third derivative of 0*m**3 + 9*m**2 + g + 1\/12*m**4 + 0*m. Let s(l) = -l**2. Determine s(y(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 - 1. Suppose 0*w = 3*w + x - 32, 3*x = b*w - 44. What is the second derivative of w*c - 4*c**4 + 5*c**4 - c**4 + 9*c**5 wrt c?\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5678 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 9*j**2 - 4*j + 15. Calculate i(7).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -222 + 224. Factor -18*i**u + 14*i**2 + 27*i**3 + 25*i**2 - 6*i.\nAnswer: 3*i*(i + 1)*(9*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 96 + -81. Suppose 8 = -4*t - 12. Let v be 9*t\/(-2)*(-80)\/(-15). Calculate the highest common divisor of p and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/5 - 85416*j\/5 + 85418\/5.\nAnswer: -2*(j - 1)*(j + 42709)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 2\/19  (c) -3\/11  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*m = 6*m + 42977. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + 2 + 0 + sqrt(3) - (sqrt(3) + sqrt(108)*-3))**2.\nAnswer: 76*sqrt(3) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 4*k - k - k + 5*k + (2 + 5 - 5)*(3*k - 5*k + k))*(0*k**2 + 0*k**2 + 2*k**2).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**2 + 10*n - 3. Let f(l) = l**2 - 12*l - 454. Let a be f(28). Determine m(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6)\/2*-716*68\/48?\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3333 - -3260 - (0 + -48)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 270 (base 10) to base 3\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/42041 and 109\/1700?\nAnswer: 4204100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 x when three letters picked without replacement from xhhhhhxhhhhhxhh.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -72, -29\/2, 1 in decreasing order.\nAnswer: 1, -29\/2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(1\/5)*h*h\/(h*h*h\/(h**(2\/11)*h))*(h*h*h**(8\/3))\/(h\/(h**1*h)) assuming h is positive.\nAnswer: h**(998\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3 - -10 - (-560 - -657)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3304 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: Let o(l) = l**3 + 4*l**2 - 7*l - 3. Let b be o(-5). Let v = -2 + b. Suppose -4*r = q - 24, -r - 1 = 3*q - 18. Solve -p - x - q = 0, x + 2 = v*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32243 - 32238. Is 167\/34 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1619085\/969 + (-4)\/(-34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 584862?\nAnswer: 2, 3, 107, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhrkkhhggrhkkx. Give prob of sequence rrx.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hechccdhecdmmezd. What is prob of picking 1 d and 1 h?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1560539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(4\/3))\/(k\/((k\/(k*k\/((k**(-5\/3)*k)\/k))*k)\/k*k*k)*k) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 + 233*y**2 + 545*y - 33385. Determine u(-230).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 526 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6 - -7)\/(-436))\/(1\/(-3))*(-1296)\/(-486).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Expand ((-d - d**2 + d)*(-1 + 1 + 2) - 21*d + 21*d - 5*d**2)*(-d**3 + 4*d**3 - d**3).\nAnswer: -14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -202, -246, -324, -442, -606, -822, -1096?\n\"Answer: -t**3 - 11*t**2 - 4*t - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -56*h**2*w + 42574*h**2 - 905*h + 972361*w**4 with respect to w.\nAnswer: -56*h**2 + 3889444*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -305 + 341 = -3*c. Suppose 5*w - 3*y - 305 = -7*y, w - 50 = -3*y. Calculate the remainder when w is divided by (-2)\/(-6) + (0 - 260\/c).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 divided by -177?\nAnswer: -184\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, l: 4, y: 1, d: 3}. What is prob of picking 3 l?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*u + 286 + 647 = 273 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-66962)\/(-48) + 88\/(-2112). Calculate the greatest common divisor of z and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9735260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 + 24*n + 122. Let d be b(-4). Solve 0 = d*r - 43 - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4030862.\nAnswer: 2, 11, 53, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000010166 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 6*g**2 - 7*g - 10. Let d be v(16). Suppose 3*t - 1058 = -r, -t - 3*r + d = 3*t. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2473, 5704, 9731, 14560, 20197, 26648, 33919, 42016?\n\"Answer: g**3 + 392*g**2 + 2048*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/9, 0.06, -1\/4, -0.04, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 144 = -2*c + 1356, -5*c = -3*q - 3019. Suppose -g + 6*g = c. Suppose -g = -4*l - 17. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 + 9*s**2 - 6*s - 11. Let m be y(8). Let l(h) = h**2 + 3*h + 2. Let p be l(-2). Put m, -4, p in decreasing order.\nAnswer: m, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 200131240 - -104?\nAnswer: 200131344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49068 is divided by 2356?\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 66, 2, 3, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 26410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -4. Let y be (10*c)\/(70\/(-65)). Let j = -9 + y. Which is smaller: j or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 150100000 rounded to the nearest one million?\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((21\/(-2))\/3)\/(483\/(-138))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 1:35 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -2314735, -1, -5 in decreasing order.\nAnswer: -1, -5, -2314735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 129 - 55. Let b = 87.5 - x. What is b rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122321000.\nAnswer: 2, 5, 122321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*f**3 - 2*f**3 - 4*f**3 + 4*f**3 + 3*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2 + sqrt(44)\/sqrt(4) + ((sqrt(110)*1)\/sqrt(10))**2 + ((1*sqrt(99))\/sqrt(9))**2 + (sqrt(11) + 1)*3.\nAnswer: 4*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 + 6*z + 4. Let m be t(6). Let o = 15 - m. Suppose -867*g + 375 + 492 = 0. Solve -2*q = -g + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -137*i + 9505. Let v(n) = -82*n + 4752. What is -5*v(t) + 3*z(t)?\nAnswer: -t + 4755","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94742781?\nAnswer: 3, 7, 1613, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 55942.08 millennia?\nAnswer: 5594208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67421?\nAnswer: 67421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeeeee. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 34.92 rounded to 0 dps?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -8*x**3 - 5*x**2 - 6. Let o be ((-4)\/(-3))\/((-4)\/18). Let n(k) = -k**3 - k**2 - 1. Let f(u) = o*n(u) + i(u). Find the third derivative of f(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8487 + -152633\/18. Suppose -q + 136 = 3*q. What is the common denominator of ((-1)\/(-1)*-23)\/q and j?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/385)\/((-1)\/(-5))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 2\/29  (c) -3  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -112 + 68. Let n = -43.97 - z. Which is greater: -8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4155745 - 4150927.986. Let r = 4834 - i. Let b = 17 - r. What is b rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*j**2*n - 55678*j**2 + 604*n**4 - 4*n wrt n?\nAnswer: -2*j**2 + 2416*n**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*z + 144*z - 2059 = 162 + 6125 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24 + 31. Is -2 - (g*-46 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 1:50 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of -b**9\/19656 - b**8\/10920 + 2*b**3 - 1. Let o(q) be the third derivative of g(q). Let o(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.3 from -311.998588456.\nAnswer: -311.698588456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/9)\/o)\/o*o**1\/o*o)\/(o**(-2\/7))**(-4) assuming o is positive.\nAnswer: o**(-128\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14564 and 9900?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 937 + -935. Is (0 - (1467 + 6))\/(-1 - j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is bca7c (base 14) in base 8?\nAnswer: 1575546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 484 is divided by 470.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k + 7. Let j(y) be the first derivative of -y**2 - 8*y + 60. Let u(i) = i**3 + 5*i**2 + 4*i - 1. Let a be u(-3). What is a*j(n) + 6*s(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17.51 + -0.61. Let c = s + -5.4. Let t = c - -6.9. Round t to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 186*l**2 - 66*l - 62*l**2 - 122*l**2 to f + s*l**2 + a*l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*u + 2*u. Let c(o) be the first derivative of u*o + 1\/4*o**4 + 0*o**3 - o**2 + 2. Find the second derivative of c(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -y, -2*h + 52 - 12 = -5*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/5)*h*h*h\/(h**(-1\/2)*h)*h*(h\/(((h*h*h**1)\/h)\/h)*h*h)**35)\/(h**(-1\/2)\/(h*h*h**0*h))**(-7) assuming h is positive.\nAnswer: h**(246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/12 - (-2434)\/(-8). Let a be h\/20 + (-2)\/(-10). What is a rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -124725000 rounded to the nearest 1000000?\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 436\/10 + (-10)\/(-25)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 19 + (-116 - -100)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 1)*(5*u + 0*u - 4*u)*(-3*u + 3*u - u**3).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -448192, -896385, -1344578, -1792771, -2240964, -2689157?\nAnswer: -3137350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*i - 60*i + 32*i = 284 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k + 11. Is w(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -182, -3, -0.5, -1\/9, 2.\nAnswer: -182, -3, -0.5, -1\/5, -1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3188 is divided by 152?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7377278397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*b + 1535 - 1717 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 6 = -3*o. Let q(h) = 4 - h + 0*h - 7*h**o - h**3 + 4*h**2 - 2*h**2. Determine q(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2205*g - 6599*g - 104157 = -2927*g for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 3. Suppose g + l = 12. Let f = g + -2. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/3)\/m)**(-7)\/(m\/m**(-2\/3)*(m*m\/(m*m**(1\/2)*m))\/m))\/((m**0*m)**(-1\/11)*m\/(m**(-3\/8)*m)*m**3) assuming m is positive.\nAnswer: m**(723\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 724 = 3*q - 8460, q - 18403 = -2*l. List the prime factors of l.\nAnswer: 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -941300 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 536*i + 2. Let g(m) = -648*m - 2. Let n(a) = 14*g(a) + 17*r(a). Let o(z) = -80*z - 11. Give 11*n(q) + 6*o(q).\nAnswer: -40*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*d + 28816 = 26810 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2236764135 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 PM and 2:20 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t. Let y(c) = c**2 + 3*c - 9. Let o(x) = -3*g(x) + y(x). What is the tens digit of o(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i + 5. Let v be k(-2). Let d be (-204)\/(-8) + v\/(-2). Suppose 0*x + 4*o + d = 4*x, o = 5. Calculate the lowest common multiple of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.531869253 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 62 = -4*r + 54, a = 4*r + 4. Let l = 178 - 165. Suppose 10*h + a = l*h. Calculate the highest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41407\/4020 + 1\/4020. Let w = 21267\/14 + -1526. Find the common denominator of b and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 4949568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3003032 - 11?\nAnswer: -3003103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q + 1. Let n be x(-1). Suppose -n*u - 2*u + s + 124 = 0, 3*u - 52 = -5*s. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*s + 45 = -5*s. Is s equal to -4\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -3 - 1183*r**2 + 8 + 1174*r**2 + r. Let v(g) = 5*g**2 - g - 3. What is 3*i(t) + 5*v(t)?\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 1  (b) -5  (c) -0.3  (d) 4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 4. What are the prime factors of ((-1)\/o)\/(1\/(-30))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.13 and -37.2.\nAnswer: -37.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 9 - (170 + -189).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6303240 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-13 + 7 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 1. Suppose o*a = 11 - 1. Let i(j) = -j**3 + 2*j**2 - 3*j. Calculate i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1120 (base 4) to base 7\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 24*b - 11. Suppose -4*f = 24 - 0. Let n(a) = -11*a + 5. Let j(w) = f*v(w) - 13*n(w). Calculate j(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -64727?\nAnswer: -64730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -6887384 minus 13.35?\nAnswer: -6887397.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, v: 1, s: 3, w: 1, z: 4, k: 4}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -66\/3571 or -1?\nAnswer: -66\/3571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*h + 7*h - 2*h)*(201 - 381 - 458 - 619 + 28) in the form n*h + c and give n.\nAnswer: -3687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5654\/6 + (-7)\/(189\/(-72)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 9, i: 3}. Give prob of sequence ii.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*s - 3 - 2 + 3.\nAnswer: -39*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 630*y**2 - 19*y + 12. Let f(o) = -127*o**2 + 3*o - 2. Calculate -11*f(v) - 2*u(v).\nAnswer: 137*v**2 + 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -4. Does 12 divide r - 2*70\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1160, -0.5, 17, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3997979 millilitres in litres?\nAnswer: 0.0003997979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -242*n**3 - 5*n**2 + 5*n - 436. Let k(t) = 121*t**3 + 3*t**2 - 3*t + 219. Let p(c) = -3*a(c) - 5*k(c). Differentiate p(w) with respect to w.\nAnswer: 363*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 561032 divided by 6.\nAnswer: 280516\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.7 or 320?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - n + 1. Let r(y) = 8*y**2 + 9*y - 3. Let j(c) = -3*k(c) - r(c). Find the second derivative of j(v) wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -25\/99, -8\/7, -88\/3?\nAnswer: -25\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (8 + 2 + -20 + (-2 - -2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -60297?\nAnswer: -1\/60297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 437 a factor of 870657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*5*2\/(-100)*(2 - 3).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 568067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (2 + 0) - -2. Let u(g) = -17*g + 17*g + 15*g**2. Let y be u(c). Calculate the greatest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -5*b + 3. Solve 3*w = -2*h + 3, -b*h + 6 = -w + 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14441401 + 10?\nAnswer: 14441411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 11 + 21)*(x**2 - 3*x**2 + x**2)*(-13*x - 188 + 188).\nAnswer: 299*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 2.2, -4, 0.5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, w: 5, g: 1, u: 1, k: 4}. Give prob of picking 3 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from {s: 9, q: 3}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/19744 and 13\/13574.\nAnswer: 217184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 270421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 4 + 10. Solve -c = x*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, 2, 19, 40, 59?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v - 1. Let g be r(11). Suppose 0 = q - g + 22. Let c(w) = w**3 + 11*w**2 - 13*w + 2. List the prime factors of c(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -t - 5, 2*t - 16*r = -13*r + 29. Solve -t*q + 35 - 45 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 74196\/6870 - (-55552)\/(-5140)\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 182, 3, -4 in decreasing order.\nAnswer: 182, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 8360*f**2 - 11*f - 26545. Let c(k) = 13933*k**2 - 18*k - 44231. Let b(w) = 8*c(w) - 13*n(w). Differentiate b(l) wrt l.\nAnswer: 5568*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6167, -24348, -54689, -97184, -151827, -218612, -297533, -388584?\nAnswer: -491759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18 + -28. Let v = -8 - n. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1764)*3 - sqrt(1764))*6 - sqrt(1764) - sqrt(1764))\/((1*1*sqrt(144))\/sqrt(12)).\nAnswer: 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 153 + -135. Suppose 8*z = 6*z - 6, 4*z + o = g. Let w be 4\/3*(-6)\/(-4). Solve -w*b = v + v, 4*v + 2*b = g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 9:27 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + l + 18 = 3*t, 3*t - 5*l + 62 = 0. Let i = -13 - t. Solve 0 = -3*k - i - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (78\/(-21) + 2)\/((-10)\/35). Let y(a) = a**2 - 5*a + 8. Calculate the remainder when -33*(2\/z)\/((-3)\/21) is divided by y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1079 - -1083. What is the second biggest value in -7.9, t, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37972731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.12 or -2.1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 121 - 229. Let t be h\/(-30) - 4\/(-10). Suppose 5*j = -t*b + 85, -b + 5*j + 0 + 40 = 0. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22552507 times 44\nAnswer: -992310308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*j = -55*j + 426 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**2 - 2*q**2 - 7*q**2)*(-62*q - 9*q + 12*q).\nAnswer: 295*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 38258\nAnswer: -1\/38258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 10:43 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -525*j**2*r**3*v + 15*j**2*r**2 - 10*j**2*v + 3*j*r**2*v - 11*j*v + 190*j - 7238*r**3*v wrt r?\nAnswer: -3150*j**2*v - 43428*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1301077350 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 41478 and 1132554.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 1976*r**2 + 8336*r + 1650. Calculate d(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 - 4*r**2 + 4*r - 2. Let i be l(-5). What is the remainder when 65\/i + (-12)\/18 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85154754.\nAnswer: 2, 3, 883, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 154 + -153. Does 1\/445 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00803794 to 5 dps.\nAnswer: 0.00804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1253478.816029 - 1253476. Let i = j - -0.183991. Let s = i + -3. What is s rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1136273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4940*a = 81753 + 48991 - 27004 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 + 4*a**2 + 2. Let o be i(0). What is the third derivative of 0*f**4 - f**3 + 3*f**4 - 4 + 8*f**3 + 3 - 2 + 5*f**o wrt f?\nAnswer: 72*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*n - 2*t - 7, -62*t - 2 = 5*n - 59*t - 29 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1018\/18741?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-105045)\/1490*((-36)\/27 + 2).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 28*k**2*n + 2488*k**2 + 5*k*n*r**3 + 2*n*r**3 + 2*n*r + 15*n + 29*r**3 - 26 wrt k.\nAnswer: 56*k*n + 4976*k + 5*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -3*k**2 + 6*k + 5. Let m(p) = -7*p**2 + 12*p + 10. Let v(n) = -5*f(n) + 2*m(n). Suppose -2*h = 4*y - 8, 0*h + 4*y + 28 = 4*h. Give v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11811 + 11640.78. Let b = m + 172. Round b to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zwzzzzwz. What is prob of picking 2 w and 2 z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 647*s**2*z**3 - 2*s**2*z**2 + 3106*s**2*z - 2*s*z**2 + 4537*z**3 + 11*z**2 - 17*z wrt z?\nAnswer: 3882*s**2 + 27222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-1)*1 + 5\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 168 and 196.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 643*0.2.\nAnswer: 128.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -42*c + 26. Give d(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1106343 is divided by 1904?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 2)*(0 + 0 + 4*u) + 3*u + u + 2 - 3*u.\nAnswer: 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 4*l + 1. Let m be (4\/6)\/(l\/(-9)). List the prime factors of 0 - -6*(m - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2421045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 41 + -223. Let a be 4\/26 - (-199318)\/i. Let o = 1838 + a. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -60 - -93. Suppose -5*m - 4 = -19. Calculate the greatest common divisor of m and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 683277*x**2 - 1502836*x wrt x?\nAnswer: 1366554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -48\/5 - 3\/5*t**2 - 51\/5*t.\nAnswer: -3*(t + 1)*(t + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/7*(-50)\/((-6600)\/(-36))?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 8\/25 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1018 + 1770. Let w be 0 + x\/740 + -1. Let s = 516\/2405 + w. Is s greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000013954 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*l + 31*l + 33*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -8042, -8039, -8036?\n\"Answer: 3*c - 8045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -401 + 412. Suppose -r - y*i + 8*i = -1484, r - 2*i = 1469. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -3*s**2 + 30*s - 36. Let v be f(8). Solve v*o = 16*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5900 + -5652. Solve -218 = -15*u - l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24857 and 51121?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 4443768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 + f + 2. Let j(d) = 472*d - 473*d + 2*d**2 - 1 - 3*d**2 + 0. Calculate -2*j(w) - r(w).\nAnswer: w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -0*c + 5*c. Suppose -2*k = -4 - 6. Let b = 130 - 130. Solve -h + k*h - c = b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 17*t**3 + t**2 - t + 1. Calculate the remainder when (1372\/20)\/1 + (-51)\/85 is divided by r(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001429045396 plus -20?\nAnswer: -20.001429045396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of 7*j**3\/3 + 6*j**2 + 10. Find the second derivative of c(o) wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/5)\/((-428)\/(-535)). Put z, -7, 2\/9, -2\/9 in decreasing order.\nAnswer: z, 2\/9, -2\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) 5  (c) -16\/39  (d) -0.2  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 6:33 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 4*y - 28 = 0, 2*p + 12 = p + 4*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 16) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 335657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1 - 0)*-1)\/(2\/10). Let v be 8\/20 - 2\/t. Suppose -2*n - 4*u = -111 - 77, -2*n + 3*u + 216 = v. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 43903418 + -27842418. What is q rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 122 - 63. Let g = x - 24. Calculate the highest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22438671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25380780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r + 5*r**3 - 5*r**2 + 0*r**3 - 3*r. Suppose -2*b + b - 11 = 0. Let f = 8 + b. Let p(n) = 6*n**3 - 6*n**2 - 2*n. Calculate f*p(a) + 4*q(a).\nAnswer: 2*a**3 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 22401000 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 657219 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - 8*d + 2. Let v be u(-8). Let f(y) = y**3 - y**2 + y - 2. Let c be f(v). Suppose 2*s + 498 = 4*n - 3*s, -c*s + 8 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*s - s + 10*s)*(-4*s + 4*s + 2*s + (-5*s + s + 0*s)*(-1 + 2 - 2)) in the form q*s + y + i*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2727100 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -159.7 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10.436 - -11.0699. Round c to 2 decimal places.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 623 is divided by 602.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3736721 is divided by 363?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*a**3 + 2*a**2 + 8 - 35*a**3 + 10*a**3 + 13*a**3 + 78.\nAnswer: -2*a**3 + 2*a**2 + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*d - d + 2*d)*(3 + 3 - 1)*(-11 - 10 + 3)*(7 - 7 + 3*d) in the form q*d**2 + j + z*d and give q.\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -51, -2\/15, -0.241, 0.3?\nAnswer: -0.241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 - -89 - (-20 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 645 is divided by 126?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 15*g**2 + 9. Let l be n(-5). Calculate the greatest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*l = -5*l + 163710. Calculate the greatest common divisor of 51 and l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 235793978 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 8 + 0)*(0*c + 4*c - 3*c)*(2*c - 2*c - c)*(c + c**3 - c).\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -9*k**2. Let s(i) be the first derivative of i**2\/2 + 25. Give s(x(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-414 + 368 + 1086)*(-5*g + g + g).\nAnswer: -3120*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20601807.\nAnswer: 3, 17, 403957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 + 986*i + 30480.\nAnswer: -(i - 1016)*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 259236 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 9*o - 11. Let b(m) = 92*m - 28. Let w(l) = 493*l - 138. Let d(n) = -11*b(n) + 2*w(n). Give 14*a(f) + 5*d(f).\nAnswer: -4*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -32*p - 1546. Let m(w) = -101*w - 4638. Let y(r) = -7*b(r) + 2*m(r). Calculate y(-70).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - d - 2 + 1 = 0, 4*d - 5 = 5*v. What is the third biggest value in 5, -29, v?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2070 and 4150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + d = -5*i + 29, 2*d - 18 = -2*i. Suppose i*c - 2*c = 18. Solve -3*s - g + c*g = 19, s = -g - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 + -b07?\nAnswer: -b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -17851, -35701, -53549, -71395, -89239, -107081?\n\"Answer: p**2 - 17853*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 2*f - 3*x = 8, 4*x + 12 = 3*f. Let u = -22961 - -22966. Solve f*d + 25 = -d - u*i, -3*d - i - 9 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 4*r**2 + 7*r - 5. Let l(k) = -9*k**2 - 10. Let u(x) = 7*x**2 - x + 9. Let a(p) = -5*l(p) - 6*u(p). What is 5*a(y) - 4*o(y)?\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -103\/4 + 473\/20. Let k be 749016\/148149 + 2\/3. Let n = k + -1\/3658. Calculate the common denominator of n and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5a - 1035c5c?\nAnswer: -1035cb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 237 and 934.\nAnswer: 221358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 2100.738ug?\nAnswer: 0.000002100738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*g - 4633 + 4568 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i**2*x**2*y - 3*i**2*x**2 - 1528*i*y - 8*i - 56*x with respect to y.\nAnswer: i**2*x**2 - 1528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 12*l + 44. Let i be y(-6). Let w be (-9)\/(-63) + (-1788)\/i. Which is greater: 61 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 314\/99 + -74\/11. Let x = -15677998102\/14685885 + -2\/1631765. Let n = 1072 + x. Calculate the common denominator of v and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 5*z - 1475, 908*z + 585 = 2*b + 911*z. Solve -6*p - 312 = -b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000280020748 rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 4*o + (o + 1 - 1)*(-4 + 0 + 5))*(27*o**2 - 32*o**2 - 23*o**2) to a + f*o + t*o**3 + v*o**2 and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 28 = 5*b. Suppose -s = q - 8, -4*q + 2*s - 2 + b = 0. What is the highest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-8)*(-3 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 3*d - 28. Let r = 222 + -2167\/10. Find the common denominator of r and 1\/d*(-98 + 11).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 + 2*s**2 + 4*s + 3. Suppose 112*v = 128*v + 48. What is f(v)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.003 and 426?\nAnswer: 426.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 5*q**3 + q**2 + 23*q - 133. What is the thousands digit of v(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -5*i**3 + 1032*i**2 + 3154*i + 48. Give c(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 14*o = -6, 3*l - 11 = 86*o - 87*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(832) - sqrt(832)*-4)**2 - sqrt(832))*3.\nAnswer: -144*sqrt(13) + 374400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*w - 86768 = -35*w. What are the prime factors of w?\nAnswer: 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 - 4*h - 3. Let r be s(5). Suppose r*w = 3*l + 204, -w - 4*l + l = -120. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1121 + -673. Calculate the greatest common divisor of 56 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.3 - -6.3. Let t = -1956\/11 - -178. Which is the closest to 1?  (a) t  (b) o  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -165*a - 4. Is l(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q + 10. Let j be p(-8). Suppose 3*n + 28 + 2 = 0. Sort j, n, 5 in increasing order.\nAnswer: n, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 2940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 5*r**2 - 45. Let g be u(10). Suppose -6*b - g = -13*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 373 minutes after 2:37 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.16 - -1.16. Let p = 18 + -39\/2. Which is the nearest to k?  (a) -1\/5  (b) p  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 3*n. Suppose 0*y + 3*y - 3 = n. Suppose 3*o = -2*r + 13, 2*o + 0*r = r - 3. Calculate the remainder when y is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 4*g - 10 = -0, 2*g + 18 = 5*a. Suppose 0 = 3*c + c - 20. Suppose q - m + 6 = -0*q, 0 = -c*q + 2*m - 24. Sort q, a, -2.\nAnswer: q, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-604)\/1057)\/((-2)\/(-140)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -1505*j - 4517. Let v be a(-3). Sort 0, v, 791 in ascending order.\nAnswer: v, 0, 791","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 25250*v. Let x(z) = 3*z. Calculate x(r(o)).\nAnswer: 75750*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, e: 8, g: 4, r: 5}. Give prob of picking 1 g, 1 v, and 1 e.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 5*-2*-4*(sqrt(1088)*1*1 - sqrt(1088)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -5 + 37 + (7 - (-2 - -3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 14796.2 to the nearest one hundred.\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/13 + 49278*p\/13 - 6938120\/13.\nAnswer: 2*(p - 140)*(p + 24779)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 1 - 2)*(0*a**2 + a**2 + a**2) - 3 + 3 - 2*a**2 + (3*a + 1 - 1)*(-a - a + a) + 0*a**2 + 7*a**2 - 3*a**2)*(0 + 7*a + 0).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11397 + 30003 = 355*u + 282*u + 513*u for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 92 + -89. Find the second derivative of 175*j - 2051*j**2 + 2*j**s + 2021*j**2 - 20 + 22 wrt j.\nAnswer: 12*j - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j*m*q + 2*j*m + 757*j + 54*m*q**2 - q**2 wrt m.\nAnswer: j*q + 2*j + 54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*l**4 + 3660592*l**3 + 3*l**2 - 5235*l - 552?\nAnswer: 384*l + 21963552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, -33, 219, 8 in increasing order.\nAnswer: -33, -2, 5, 8, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = b + 5*g + 30, -1474*b + 1469*b - 24 = 4*g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9239664.200211 + 9239660. Let y = -4.2 - h. What is y rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 8:45 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*q - 4*q - 2*q)*(-4 + 4 - 1)*(11*q**3 - 5*q**3 - 2*q**3)*(33 + 58 - 71).\nAnswer: 80*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(4*(26\/(-8))\/13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 + 29.2?\nAnswer: 29.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32 + 22. Let i be 6\/8*(6 + f). Let c be (-46)\/(-6) + (-1)\/i. Solve 2*n = -3*r - 8, -4*n = -0*n - c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) - (-1 + sqrt(1053)))**2 + sqrt(65)\/sqrt(5) + -3.\nAnswer: -2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbpmbbmwe. What is prob of sequence wbbb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5769 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -265*d - 11. Let n be g(-1). Let o = -209 + n. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v + 1. Let j be b(3). Suppose 7*w = -3*w. What is the closest to -2\/9 in 2, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 6650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + -11102423?\nAnswer: -11102413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 225, 419, 613, 807?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 3*j, 0*j = f + 3*j. Suppose -2*m - 2*v + 43 + 55 = f, 2*m = -3*v + 101. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -65635\/13 less than -5049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 38396*g**3*o - 3*g**2*o + 14*g**2 - 3*g*o - g wrt g.\nAnswer: 230376*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*d + d + 3*d)*(-711 - 486 + 397) - 2*d - 2*d + 3*d to the form c + z*d and give z.\nAnswer: -1601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-31 - -34)*(-1)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 2291*r + 688650. Give p(-269).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 69974, 559677, 1888850, 4477229, 8744550?\nAnswer: 15110549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2618 + -1668. Suppose 10*n = 11*n - u. Suppose -30*t = -25*t - n. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1224 rounded to the nearest ten?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l - 2*l + 7*l)*(5*l - 5 + 5)*(3 - 3 + 1)*(-3 - 3 + 4)*(0 + 3 - 2).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + r - 7 + (-r + 1 - 1)*(20 - 8 + 15 + (5 - 3 + 0)*(-2 + 1 - 1)) - 5*r + r - 3*r to q*r + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 6*o - 5*o, -188 = -3*i - 4*o. Is -14*(4 - 304\/i) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1014?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -43\/70 - -3\/70. Which is the nearest to 0.2?  (a) 4  (b) j  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of 0*m - 1\/60*m**5 - 7\/24*m**4 + 0 + 5\/3*m**3 - 7*m**2. Calculate t(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5794519553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*v + 16*v = -183954 - 1247702. What are the prime factors of v?\nAnswer: 2, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1385 + 1417. Which is the nearest to 1\/7?  (a) h  (b) -5  (c) 0.2  (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 - (6\/(-3) - 0). Sort 4\/5, s, -0.2.\nAnswer: s, -0.2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21 - -17 - -6) + -14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*k**2 + 11\/3*k - 10.\nAnswer: -(k - 6)*(k - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3\/680 - -293\/1020. Let r be (-10)\/(-3)*(-3)\/(-18)*-3. Let f = r + q. Calculate the common denominator of 93\/4 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -d - 20, -2*u = d - 3*u. Calculate the lowest common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 - (-4 + (-8 - -9)) - (-95 + 22).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10 + 15 - 12)*(0 - 1 + 2)*(3*o - 5*o + o)*(-2*o + o**2 + 2*o) as d*o**2 + w + v*o + t*o**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from mddmg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96012 and 952?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 793849, 793850, 793851, 793852, 793853, 793854?\n\"Answer: z + 793848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -101*g**2 - 151*g wrt g?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 71458 + 1201?\nAnswer: 72660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-12)\/9)\/(2\/(-96)). Let r = 63 - l. Which is smaller: r or 5\/14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kcu when three letters picked without replacement from {t: 5, u: 4, k: 1, a: 3, c: 3, o: 4}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10131)\/(-921))\/((42\/36)\/7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.2006g in milligrams?\nAnswer: 31200.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-49)\/21*((-480)\/(-140) - 4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 496 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 PM and 9:44 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13512.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k**5\/7 + 183*k**4\/7 + 4299*k**3\/7 - 212763*k**2\/7 - 4295544*k\/7 - 4078668\/7 = 0. What is k?\nAnswer: -22, -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 PM and 4:28 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 + 3*n**2 - 2*n + 1. Suppose 0*q = 5*q - 135. Let c = q + -25. Determine x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -6328*d + 493. Is g(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 26. Suppose -v*y + 20*y - 164000000 = 0. Round y to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*l**5*w - 15*l**3*w**3 - l*w + 117*w**3 wrt l?\nAnswer: 60*l**3*w - 90*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -0*y + 5*y - 32, 0 = s - 3*y - 8. Let j(u) = -2*u + 2*u**3 - 3 + s*u + 9*u**2 - 3*u**3 + 3*u. Is j(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53 + 18 + 9 + 4 + 2)*(108*m**5 - 154*m**5 + 115*m**5).\nAnswer: -1380*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*m**2 - 567354192*m + 26824231598331072 = 0. What is m?\nAnswer: 94559032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -u**4\/2 - 1826*u**3 - 3611*u**2\/2 + 73076*u + 204456 = 0.\nAnswer: -3651, -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -o - 21, -3*m + o + 33 = 6*o. Let p = 9 - 5. Solve p*w = m - 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2*(0 + sqrt(700)))**2 + 4 + sqrt(14)\/(sqrt(2) + (sqrt(72) - sqrt(72)*1)) + (4 + (sqrt(70)*1 - sqrt(70))\/sqrt(10))**2.\nAnswer: sqrt(7) + 2818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 48*l - 5396 - 129100. Calculate the least common multiple of l and 22.\nAnswer: 30822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2.3, -0.5, 0.01, -0.4, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -7 - 1, -2*o - 3*n + 18 = 0. Suppose -u = -2*g, -o*g = 3*u - g - 11. Solve 3*c = -u*c + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 7)*(2 - 3*v**4 - 2) to the form p + k*v + c*v**4 + q*v**3 + a*v**2 and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**11)\/(c\/(c**(-15)\/c)) assuming c is positive.\nAnswer: c**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 12 = 9. Let p(w) = 4*w. Let x(s) = s. Let m(b) = 5*p(b) - 16*x(b). Let v be m(f). Solve -4*j = v*z - 28, 6*z - 2*j + 2 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1748805 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (75\/(-12))\/((-13)\/1040) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 1 + 6 - 8*a**3 + 8*a**3 + a**3 - 6*a**2. Determine y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22371 + 2035 = 842*t - 2538 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5692 + -5637. Calculate the remainder when 1643 is divided by d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28660?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6295 divided by -5.\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 4\/12)\/(21\/315).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 239\/4 + -1197\/20. Which is the closest to 1\/2?  (a) 4  (b) 5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -947009150 >= -947009150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12 and 1829?\nAnswer: -21948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 685 + -671. What is the first derivative of 3*w**2 - 1153*w - p*w**3 + w**2 - 2*w**2 + 1153*w + 238 wrt w?\nAnswer: -42*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 - 20*p - 33. Let k be j(-18). Differentiate -5 + 31*q**3 - 10*q**3 + 7*q**k - 6 wrt q.\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - t - 32, 3*w - 4*t = 7*w - 16. Suppose -4*c - w*c + 6344 = 0. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 34*q**3 + 6*q**4 - 34*q**3 + (3 - q**3 - 3)*(0*q - q - q) + 3*q**4 + 2*q**4 - 4*q**4.\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**4 - 127935 - 18*f**5 + 62*f**5 + 439*f**2 + 127935 wrt f.\nAnswer: 2640*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 54469.83 litres?\nAnswer: 54469830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -2192, -5\/2, -5 in increasing order.\nAnswer: -2192, -5, -5\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of 31*l**5\/20 + l**3\/6 - 65*l**2\/2 + 11*l. Find the first derivative of t(q) wrt q.\nAnswer: 93*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*p + 1. Suppose -3*m = 9, -3*v + 6 = -4*m + p*m. Suppose 2*n - 31 + 11 = v. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-20)\/(-25)*(-10)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 10*z**2 - 275*z + 45. Let b(q) = 5*q**2 - 138*q + 27. Let o(x) = -5*b(x) + 3*r(x). Factor o(a).\nAnswer: 5*a*(a - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*t + t + 2*t)*(t + 2*t - t) - 2*t**2 + 87 - 87 - 10*t as o + w*t + u*t**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 13593121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 6:06 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -10631.509 rounded to the nearest 10?\nAnswer: -10630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 9 = -6, -s + 4*x = -565. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4*-2*(-26)\/8. Suppose -5*q = 1 - z. Which is the third biggest value?  (a) 2  (b) 3\/7  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 2:58 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, -2, 1, -4.\nAnswer: -28, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -0.21  (b) -1  (c) 1  (d) 3  (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y**5\/7 - 6*y**4 + 110*y**3\/7 + 10*y**2 - 102*y\/7 - 4 = 0. Calculate y.\nAnswer: -7, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s**3 - 6*s + 1. Let h(i) = -3*i**3 + i**2 - 7*i + 2. Let x(p) = -3*h(p) + 4*u(p). What are the prime factors of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 1057*s + 17. Let j(d) = -d + 1. Let n(b) = 2*j(b) + v(b). Let i = 6429 + -6427. Is n(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) - ((-2 + sqrt(72) + sqrt(72))*3)**2)*5.\nAnswer: -13140 + 2190*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 - 4*d - 69. What is t(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + -6. Let o be (-5 - l)*1*-13. Let t = -6 + o. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-9.896345.\nAnswer: 4.9481725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2*t + 12 = 0. Let i(u) = 4*u**2 - 2*u + 5. Let v(o) = -5*o**2 + 2*o - 6. Let h = 9 - 0. Suppose 4*p + 7 = -h. Give p*i(n) + t*v(n).\nAnswer: -n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7720 - -7722. Suppose s + 21 = 4*s. Find the third derivative of -s*x**4 + 2*x**2 - 6*x**4 + 13*x**u + 0*x**4 wrt x.\nAnswer: -312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 836 - 2*m - 2*m + 5*m - 58*m**3 - 832. List the prime factors of r(-2).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*u**3 - 8*u**3 + 12*u**3 + 32*u - 31*u.\nAnswer: 63*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 689554743 to the power of 1\/3, to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -2*y**2 + 8*y - 12. Let b(u) = 3*u**2 - 16*u + 24. Let o(j) = -6*b(j) - 11*r(j). Factor o(d).\nAnswer: 4*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2625)\/(-450) + 2\/12. Let m(u) = u**2 - 14*u + 50. Let k be m(z). Factor 3*g**k + 3\/2*g**3 + 3\/8 + 15\/8*g.\nAnswer: 3*(g + 1)*(2*g + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16a214 (base 12) in base 4?\nAnswer: -1133122300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -7 - 29 - 15 + 6 - 4*y. List the prime factors of n(-28).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 197 - 173 - (7 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15868\/3967*(-1)\/(70\/(-1)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: (0 - -2)*(30\/12)\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24 - -67) + -36 + (-4 - 1) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-14) + (-1068)\/(-14). Suppose 0 = d + 4*p - 22, 5*p - 4 = -5*d + b. Suppose v - 39 = -d. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.4 + 0.2. Let d = -57.9 - -58. Which is the smallest value?  (a) -1\/4  (b) z  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of j**4\/2 - 3*j**3 - 7*j**2\/2 + 29*j. Is y(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/v**19)*v\/v**(1\/19))**(-29) assuming v is positive.\nAnswer: v**(-10991\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 11990000 to the nearest 100000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*y**4 - 6544*y + 3*y**5 + 30*y**2 - 115*y**2 + 116*y**2 wrt y?\nAnswer: 60*y**3 - 48*y**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 0*n - 2*n = 66. Calculate the smallest common multiple of 11272 and n.\nAnswer: 123992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14.4 - 25. Let l = p - -11. Put 0.5, l, 4 in descending order.\nAnswer: 4, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from neqykrr. What is prob of sequence kq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*o**4 + 225534*o**3 - 372216*o**2 wrt o?\nAnswer: 72*o + 1353204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(384)*-2)\/(sqrt(768)*-6)*-3.\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 3*h - 34. Let y be p(10). Let t(r) = 2*r + 9. Let x be t(y). Solve -3*a + 2 = -x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 515357863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 14*x**2 + x. Let g = 10059 + -10060. Determine d(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -118 + 123. Suppose 2*j - 462 = 3*n, -4*j = -s*n + 2*n - 924. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 161\/120 and 11\/1509030.\nAnswer: 6036120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 + 2*w. Let i(n) = -3*n**2 - 11*n + 22. What is 5*f(v) + i(v)?\nAnswer: 2*v**2 - v + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 27 = -4115010*i + 4115011*i, o = -2*i - 9 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from txqazxna. What is prob of sequence nqx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 + 12. Let g = -1.4 + 25.4. Let p = h - g. Which is the closest to p?  (a) -1\/8  (b) -0.4  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-160)\/20*(-6)\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**2. Let o(c) = 198*c**2. Give i(o(j)).\nAnswer: -78408*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-4\/3)*f*f**3)**(-1) assuming f is positive.\nAnswer: f**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 70511521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -131.321 - -0.321. Let h = -131.0000395 - o. Round h to 6 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qdu when three letters picked without replacement from dwqua.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -11119 greater than or equal to -11119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 PM and 3:12 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 - -0.46. Let w = d + 0.0400005. What is w rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 954754184 to the power of 1\/2, to the nearest integer?\nAnswer: 30899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1857 is divided by 232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33.7158 + -34.223. What is v rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 53)\/(-5) - 3*-6*(-24)\/12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from duyldfffddded. Give prob of sequence du.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 5*n + 130, -7*l = -3*l - 2*n - 116. Suppose l*y + 585 = 33*y. List the prime factors of y.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 828 = -408*x + 1957*x + 2377 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 2*y - 10 = 0, 2*y = -q - 0*q - 14. Suppose 2*g - 44 = -18. Let n = q + g. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 153 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 0 - j + 0 + 4. Suppose -10 - 2 = -3*p. Let s(n) = -n**3 + 3*n**2 + 4*n + 3. Let m be s(p). Give l(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30*l**5 + 19*l**4 + 2*l**3 + 2*l**2 + 297*l wrt l.\nAnswer: -1800*l**2 + 456*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.5478496 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8065 (base 12) to base 9.\nAnswer: -21055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 10 - 8 = 0. What is the greatest common divisor of c and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssi when three letters picked without replacement from sssiisssssi.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 PM and 5:46 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 753193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 + -3. Let s = 9 - w. What is the second biggest value in 0.1, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*i**3 - 19579021*i**2 + 2*i + 813281629 wrt i?\nAnswer: 12*i**2 - 39158042*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -6, -7, 3, -14 in ascending order.\nAnswer: -14, -7, -6, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 4*l**2 - 27*l + 22. Give v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8876*c**2*j + 62*c*j - c - 115 wrt c.\nAnswer: -17752*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 30, 142 = j - r - 784. What is the remainder when j is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6845 divided by -11.\nAnswer: 6845\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-6))\/(253\/((-131560)\/240)).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -46*o**2 - 2929*o - 2898. Calculate b(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2231, 852, -1375, -4450, -8373, -13144?\n\"Answer: -424*q**2 - 107*q + 2762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -4*l + 6, -70*i - 4*l - 4 = -66*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 635394.5 to the nearest 100.\nAnswer: 635400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*z**2 + 2 + 6*z**2 - 2*z**3 + 3*z + 2*z**2 to the form k*z**2 + q*z + a + v*z**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nmqvnmnnnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 5901*i - 564. What is the units digit of t(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000941 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(-3))\/(66\/(-3)). Let m = d - 6\/11. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2)*(-39 - 9876*y**2 + 28 + 9898*y**2 - 16*y).\nAnswer: -44*y**2 + 32*y + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -7*f - 16. Let s(y) = -36*y - 79. Let q(v) = 11*m(v) - 2*s(v). List the prime factors of q(-13).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -133 + -8251?\nAnswer: -8384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -74.158844 rounded to one dp?\nAnswer: -74.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 1 = -3*f + 2, -2*h - 3 = -f. Let m be 12 - (-2 - (h - 2)). Solve 0 = -3*g + g + m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 7*s - 21 = 0. Let o = s + -13. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 12:29 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*w + 38 = -160. Which is the closest to w?  (a) -0.1  (b) 0  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 50242 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-203)\/(-90)*(-2454)\/4. Let z = -1030\/81 - 110939\/81. Let s = b - z. What is the common denominator of 127\/18 and s?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + u + 638808 = 0, 34*d - 383282 = 31*d + u. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27427 minus 140.9?\nAnswer: 27286.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*f - f + 6*f)*(77 + 106 - 51) as z + y*f and give y.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -114.2*103.7.\nAnswer: -11842.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 493.000259 - 493. What is t rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 3:05 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p\/((p**(2\/7)*p*p)\/p))**(23\/4))**(9\/10)*(p*p**1)**(-1\/2)*(p**(1\/3))**(4\/11) assuming p is positive.\nAnswer: p**(18463\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 50?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7)\/(28\/(-12)) + -2. Let l be 0 + 5\/(30\/(-4)). Let g = 0 + l. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p**4 + 16*p**3 + 13*p**2 - 16*p - 4 = 0 for p.\nAnswer: -1, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(405) - (sqrt(5) + sqrt(20)\/(2*sqrt(4) + sqrt(4)) + sqrt(5)))*-4)**2 + 1.\nAnswer: 32009\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 95 and 157358?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 PM and 7:11 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - -2. Suppose -6*q = -h*q + 26. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/(-20))\/((-6)\/(-8)). Let q = 0 - -1. Sort q, j, 1\/4 in ascending order.\nAnswer: 1\/4, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 + (3 - 1\/5). Let s(h) = h**3 - 17*h**2 + 2*h - 30. Let y be s(17). Let m = -256 - -259. Which is the nearest to r?  (a) y  (b) -1\/3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**2 + 0 + 0)*(1 + 0 + 1)*(0*p**2 + 3*p**2 + 0*p**2).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + -1. Let c be 11\/4 - 265\/(-1060). Put c, 0, h in increasing order.\nAnswer: h, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3573373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of 2*n**5 - n**4\/4 - 50*n + 59. Find the first derivative of w(o) wrt o.\nAnswer: 40*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4 - 5 - 6 + 4*p**2 with respect to p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2355 is divided by 1174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(5\/7)*u**(-5))\/(((u**(-1\/13)\/u*u*u)\/u)\/u*u**(-1)\/u) assuming u is positive.\nAnswer: u**(-149\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + -10 + -11 - -10 - 30.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -24\/19  (b) -3.33  (c) 147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of -o**4\/24 + o**3\/6 + 12*o**2. Give u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9382.8 - -9383. Which is the smallest value?  (a) -2\/5  (b) -1\/9  (c) v  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.13341 - 2.13341. Which is bigger: 581 or x?\nAnswer: 581","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*y**4 + y + 2 + 74*y**3 + y**2 - 74*y**3 to the form a + s*y**4 + n*y**2 + r*y**3 + j*y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -662 and -989.\nAnswer: 654718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, t: 4, g: 1, d: 3, s: 6}. Give prob of sequence tdg.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 4 - 1)*(7 + 3*m**4 + 182*m**2 - 181*m**2 + m**4).\nAnswer: 8*m**4 + 2*m**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -121321 (base 4) in base 13?\nAnswer: -9a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3952296 rounded to 3 decimal places?\nAnswer: 0.395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -759 + 775. Solve -a*m + 1 = 33 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33.62 - -0.62. Let d = u + 0. Let v = d - -28.1. What is v rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/(-12) + (-2 - 1) and -1\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.11551 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-159)\/150)\/((-6)\/(-2985)). Let d = u + 528. What is the common denominator of d and -15\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**4 - 2081*j**3 - 451410*j**2.\nAnswer: -j**2*(j + 246)*(j + 1835)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (28\/(-12))\/((-2)\/18). Let l = k + -7. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 13*d + 131. Let q be u(-10). Let n = 34 - 38. Sort q, n, -27\/7 in decreasing order.\nAnswer: q, -27\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1008 - -1007.99675. Round f to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 2*l. Suppose -4*u - 4*q + 68 = -l*q, -u + 2*q = -11. Suppose 0 = -3*k + 7 + 5, y = 5*k - u. Solve -4 = y*z - 4*b, -b - 8 = b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1358982 and 79897.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-4)*32\/(-12). Let i = l - -32. Is -5 + 3 + -1 + i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 + 8*m**2 + m - 4. Let c be f(8). Find the second derivative of 11*w - w**3 - 7*w - c*w**3 wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 335, 670, 1007, 1346, 1687?\n\"Answer: y**2 + 332*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1484 (base 11) to base 10\nAnswer: -1907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 581688 and 6527832.\nAnswer: 58750488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 458 divide 571285588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 7 = -2*g. Suppose -y = g, 4*v - 3*y + 2 = 25. Determine q so that 1\/3*q**v + 3 - 2*q = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 17 - (-8 + 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 - 2 + s - 1 + 57*s**3 + 2. Let m(u) = u - 9. Let v be m(10). Let j be q(v). Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38e (base 15) in base 4?\nAnswer: -30221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0426 + 0.0574. Which is the nearest to 2\/29?  (a) -0.1  (b) -3\/2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12084 + 12082. Which is the closest to -6\/5?  (a) -8  (b) 2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((74\/(-111))\/((-2)\/849))\/1 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 - 4*l**2 + 2*l - 1. Let n be m(2). Put n, 0, -2 in ascending order.\nAnswer: n, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70\/107 = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n + 17*n + 350 = 0. Which is the fourth smallest value?  (a) 3  (b) 0  (c) 1  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + j - j)*(2 - 3 + 0 + (-2 - 2 + 3)*(1 + 0 + 1)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 4 = -5*y. Factor 2*a**2 + y*a - 2*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 - 15. Suppose y*z - 6*z = -20. Suppose -q - z*h = -4*q + 1, 2*q + 3*h - 7 = 0. Solve -w + q*w + 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + (-5)\/(6 + -1). Let r(y) = 3*y**2 + 7*y - 3. Let k be r(i). Suppose -3*n = 4*f - 492, 5*f + 2*n - 244 = k*f. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10799.28477 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127*s + 88 = -123*s. Let h(v) = v + 22 + s - 44. Let o(d) = 20*d. What is h(o(x))?\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 39*(-3*8\/12 - -3). Suppose -44*v + 610 = -f*v. Is v a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2605 + -2580. What is the biggest value in p, -2\/7, -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -d**5\/4 + 29*d**4\/4 + 11*d**3\/4 - 337*d**2\/4 + 265*d\/2 - 58 = 0?\nAnswer: -4, 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 44757 equal to 44685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -21 + 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 123, 314, 641, 1098, 1679, 2378, 3189, 4106?\n\"Answer: -l**3 + 74*l**2 - 24*l + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -5*a**3 - 6*a**2 - 8*a - 8. Let s(r) = -r + 2. Let p be s(0). Let o(z) = 2*z**3 + 6*z - z - 2*z - z**2 + 3 + 3*z**p. What is 3*c(h) + 8*o(h)?\nAnswer: h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-55))\/((-2)\/5)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6 - ((14 - 12) + -109). Solve -h*b + 121*b = 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -19.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from wmwmmtwtmwwttwm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4*d + 17 = 2*p, -5*d = 15. Suppose 32 = -6*a + p*a. Let x be 6\/16 - (-125)\/a. Calculate the highest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35310 and 72960.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from hog.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2 + 747*i + 2698176.\nAnswer: -3*(i - 1081)*(i + 832)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -15, -30, -49, -72, -99, -130?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -32, 0, 197158, 2 in increasing order.\nAnswer: -32, 0, 2, 197158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {b: 1, e: 3, h: 5, s: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of -9*g**5\/10 + 19*g**4\/6 - 63*g - 53. Let m(h) be the first derivative of z(h). What is the third derivative of m(f) wrt f?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -6083332*k**3 - 12*k**2 + 23*k. Let i be t(6). Let m be 12\/90 + i\/45. Round m to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69645 is divided by 13929.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26 - -12. Let p be 10\/(-25)*(-1 + w). Let f = p - 4. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6693.76 and -0.4.\nAnswer: -2677.504","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 - j**2 - 3*j - 2. Let d be b(-2). Suppose 0 = 6*l - 4*l - d. Let m be (l\/14)\/((-1)\/(-7)). Solve -m*c - 1 = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 + 19. Put -2, -2\/3, w in decreasing order.\nAnswer: w, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1706 is divided by 134.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 13) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -12 - 8. Let b = 3 + 3. What is the least common multiple of b and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 5*y**2 - 76*y + 39. Let h(r) = r**2 - 11*r - 26. Let j be h(-4). Is u(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1604*q = -1601*q - 21 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 16 + 192*s**2 - 578*s**2 + 195*s**2 - 10*s + 192*s**2 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3*(8\/20 + (-31)\/15). Let k be (5 + f)\/(-1 + 0). Suppose 5*i + 5*w + 16 = w, 0 = -3*i - 2*w - 10. Sort k, 3, i in decreasing order.\nAnswer: 3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -20?  (a) 3\/4  (b) 16  (c) 1\/2  (d) 0.39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66.7149 seconds to nanoseconds.\nAnswer: 66714900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - x - 1 - 2 + x + 2 + (-2 + 3 + 0)*(0*x + x + 0*x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 1252671*p - 1. Let r be t(-6). Let d = r + 5116027. What is d rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.042254 in -1.3, -0.1, -0.21, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/5)\/(6\/(-465)). Suppose 3*x + 34 = -d, -3*d = 5*x - 0*d + v. Let y be (-4)\/x + 64996\/10. Round y to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00174067 to five dps.\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*u + 2*u - 3*u + (-7*u - 29 + 29)*(-1 + 0 + 2) to the form b + i*u and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -67*j**3 + 19*j**4 - 24*j**4 + j**2 - 64*j**3 + 128*j**3 - 2*j**2 as o*j + q*j**2 + v*j**3 + w*j**4 + p and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 - -10. Let j = 1389 + -6996\/5. Is q at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + 69 + (26 - 27) + -18?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1177, -2454, -3829, -5302, -6873, -8542?\n\"Answer: -49*m**2 - 1130*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 4.4. Let j = 1.6 - h. Let g = j - 0.9. Which is the closest to g?  (a) 0.4  (b) -0.4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 444 a factor of 46725256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 0. Let z be 3 - (0 - (0 + v)). Let i = 18 - z. What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (5 + -13 + -7 + 12 + -12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 215287 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1  (b) 434  (c) 1\/5  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -212, -157, -94, -17, 80, 203, 358?\n\"Answer: m**3 - 2*m**2 + 54*m - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 985*h**2 + 979*h**2 - 133*h**2.\nAnswer: 1831*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245) + -3)**2 - sqrt(245))*-5 - (4 + sqrt(20) + 5)**2.\nAnswer: -1371 + 209*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 2:12 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, q: 14}. What is prob of picking 2 q?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (112\/8 + -11)\/(-2*42\/(-8)). Let w be 2\/(-8) + 3\/6. Which is the nearest to 0.1?  (a) w  (b) g  (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 11474 + -1891?\nAnswer: b7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from myjymqa. What is prob of sequence ymy?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 5373621.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 41 - 13. Let w = -27.9952 + i. Round w to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 1840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of 1\/60*h**5 - h**2 + 0*h - 41\/6*h**3 + 5\/24*h**4 + 0. What are the prime factors of m(-13)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4 + -0.3. Let y = -28.34 - -0.34. Let r = -31 - y. What is the nearest to h in 0, r, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -14*z**3 - 5*z**2 - 6*z + 1. Let d be u(-1). Let j = 1 - 1. Suppose -d*b + 18*b = j. Solve -8 = 4*k - b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - 0. Let g(l) = -2*l**3 + 3*l**2 + 8*l - 6. Let j be g(3). Let n(a) = -7*a - 66. Let c be n(j). Put i, c, 5, 4 in ascending order.\nAnswer: c, i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 696*g**5 - 3*g**3 - 684*g**2 + 2?\nAnswer: 41760*g**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -70 and -70 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 1. Let v(z) = -4*z**2 + 19*z - 10. Let l be v(6). Let s = l - -41. Let y(d) = -d + 5. Determine s*y(k) - 6*n(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58825485 + 0.\nAnswer: 58825485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 - 3*u + 2. Let y be a(6). Suppose -5*t + 4*b = -y, 3*t - 4*b = 13 + 7. Solve -g = -t*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 + -24. Let f be 3*(-5)\/15*(-1 - b). Suppose -2*w - 6392029 + 2392029 = f. Round w to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -2*u - u + 21, 15 = 3*d. Suppose 195*j - 30 = 201*j. What is the remainder when (j*(-5)\/(-50))\/((-2)\/92) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 + 3*u - 4*u + 18)*(467*u + 3207*u + 582*u).\nAnswer: -4256*u**2 - 8512*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**5\/13 - 302*t**4\/13 - 4884*t**3\/13 - 16064*t**2\/13 + 21248*t\/13 = 0. Calculate t.\nAnswer: -8, 0, 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 8592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 4*d - 1. Let g = d + 1. Suppose -g*v + 47 = -v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + 3*u + 7*u)*(-2*u + 3*u + u)*(2 - 2 + u**3).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(4\/5)*p\/(p*p**(-12)\/p*p)*p\/p**(-1\/2)*p**(-1\/9)*p assuming p is positive.\nAnswer: p**(1367\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 PM and 2:40 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*130225\/(-20)*(-12)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.7, 11, -0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 258 = -3*t, -117 = t - 2*w - 31. Let z = -42 - t. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 518 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -323 + 314. Let o be (h\/(-27) - 12\/9)*0. Solve 2 = 2*s - 3*s + 3*p, 5*p = o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12277365 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -1\/111  (b) 2\/19  (c) 0  (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((w\/(w\/((w*(w**(-1\/4)*w)\/w*w)\/w)))\/w*w)**(-2\/37))**47)**(-4\/7))**(-31) assuming w is positive.\nAnswer: w**(-8742\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 6 + (-7 - 6) + (4 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 379 + 386 = 85*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - (6 - 15) - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -7*h + 11*h**2 + 3*h - h + 7*h**2 - 17*h**2 + 12. Let y be p(6). Let j = -6 + 8. Solve -13 = -3*i - w, j*i + 2*i + w = y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 30 in -0.02, -3, -0.1, -0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -6 - 5 + 0 + 4 - 5*q. Calculate s(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228)\/(sqrt(24)\/sqrt(2)*5) + (-1*sqrt(19)*-6 - (2*sqrt(228))\/sqrt(12)))*3)**2.\nAnswer: 75411\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3. Let x(f) = 2*f**3 - f**2 - f - 1. Let y(r) = 6*p(r) - x(r). Let g be y(2). Let h = g + -19. Calculate the lowest common multiple of 18 and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + -12. Let b(c) = 12*c - 14. Calculate the remainder when b(5) is divided by 3\/(((-30)\/32)\/t).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*v + 7*v + 649. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 - 19. Is -9 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 19 = -4*t. Let b(a) = a**2 - 4*a + 2. What is the smallest common multiple of 16 and b(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -20701  (b) 3.1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + 1 + (-4 - -6). Suppose -z = -1 + h. Let s(q) = -2*q**2 - 5*q + 3. Determine s(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127614353 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -257 and 13497?\nAnswer: 13754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/w**(1\/25)*w**(-7) assuming w is positive.\nAnswer: w**(-151\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 38*i**2 + 10*i - 72. Let f(c) = -101*c**2 - 32*c + 216. Let r(q) = -8*d(q) - 3*f(q). Give r(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 12 = -5*x, -26 = -x + 5*h - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 10:21 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1184 divided by 15532?\nAnswer: -296\/3883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5\/176, 13\/2, 5?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, e: 1, g: 2}. Give prob of picking 2 g and 1 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12433831?\nAnswer: 12433831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**3\/3 + 16103*s**2 + 194423584*s - 4085262748\/3 = 0 for s.\nAnswer: -24158, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.4355962 weeks?\nAnswer: 4390.809696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.841 times -22038\nAnswer: 18533.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12976 = -17*l + 33*l. Is 79 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2 - 562*l - 8480.\nAnswer: -2*(l + 16)*(l + 265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 - 1) + (-97)\/(-1). Suppose 0 = 2*k - 275 + z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 7) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2387.7 and -18.03.\nAnswer: 2369.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -3*h. Let c(a) = 2*a - 5. Let n(y) = -1. Let g be (-6)\/(-3) - 0\/(-3). Let f be (-1 + g)*(0 - -1). Let i(j) = f*c(j) - 5*n(j). What is x(i(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3140200224 (base 5) in base 14?\nAnswer: c2dc50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2493160927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 50 = -3*z, -21 - 14 = -2*z - f. Suppose 0 = q - 2*q - 5*h + z, 5*h = 3*q - 25. Is 3204\/5 - (-2)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, j: 6, d: 3, n: 7}. What is prob of sequence bndb?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 3*j + z - 121, -231 = -4*j - 3*z. Let a = 92 - 72. Calculate the remainder when j is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -114.727 and -23.922391.\nAnswer: -138.649391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 78 - 27. Suppose -33*d - 24 = -t*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 20 + 2. Let s(z) = -332*z - 58. Let i be s(-18). Let v = i - 53200\/9. Calculate the common denominator of v and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 4*i = 26, 218*n - 32*i - 126 = 219*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2909735 (base 10) to base 2\nAnswer: -1011000110011000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3223*x**2 - 102*x - 3. Is a(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of -w**5\/10 - 7*w**4\/18 - 5*w**3\/9 - w**2\/3 + 2*w. Find n, given that a(n) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of -5*y**3\/6 - 3*y**2\/2 - y. Suppose -5*c - 3 = -4*t, 3*t + 3*c = -2*c - 24. List the prime factors of s(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1219*b**2 - 781*b**2 - 589*b**2.\nAnswer: -151*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1930 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -364100.8 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13791, 16760, 21705, 28626, 37523?\n\"Answer: 988*x**2 + 5*x + 12798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 2)*(16 + 0 - 6)*(-4*n - n - 2*n).\nAnswer: -70*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 91963288?\nAnswer: 91963288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 120\/17 - 1526\/221. Suppose 4*z + 4 = 0, 0*z - 2 = 4*h - 2*z. Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -156116900*s + 109742708.\nAnswer: -156116900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -768837 - -1189964. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 119524382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {e: 1, q: 1, k: 2, b: 1, d: 1, l: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1814453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 8*i - 25 = 0. Suppose 4*x - 8 = -2*s - s, -i*x = -10. Which is smaller: 4\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7853830 or 7853831?\nAnswer: 7853831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -29 + 32. Solve 0 = -a - 2 + t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -70486920 divided by -674?\nAnswer: 104580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + 0.4. Suppose -f = 5*j - 13, -5*f + 4*f + j - 5 = 0. Sort k, -0.2, f.\nAnswer: f, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m + 0*m + m - m. Let q(g) = -2*g + 2 - 2. Calculate w(q(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -65*h + 1. Let o be r(-1). Solve x = 4*m + 15, -16 + o = -5*x - 5*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 450465380 to the power of 1\/2, to the nearest integer?\nAnswer: 21224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5789, -11491, -17189, -22883, -28573?\nAnswer: -34259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -78096*j**2*x - 379*j**2 + 26844149*x - 3 wrt j.\nAnswer: -156192*j*x - 758*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50 + (-9 - (23 + 1 + -19)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2 and 88?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2217.618 litres to millilitres.\nAnswer: 2217618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5190\/101 or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 554 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.9696774272 - -52478.0696894272. Let x = r - 52475. Let w = x + -0.1. What is w rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3 - 1 = -2*l, 4*h - l = 8. Suppose h*g = 7*g. Suppose -4*c + 3*m = -1 + 4, -3*c + 4*m - 4 = 0. Is g less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72698 - 3*z**3 - 24217 - 24242 - 24239.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2 - 3*t + 1. Let i be s(-4). Let b be (-5)\/(0 - i - 2). Let c(w) = -w - 5. Let f be c(b). Do f and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1, -7\/2, -379, 2\/3, -2\/9.\nAnswer: -379, -6, -7\/2, -1, -2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -135\/4  (b) -1  (c) -3  (d) -2  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -38 and 120142.402.\nAnswer: 120104.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 78 divided by 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 12:20 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 + 31*b**2 - 94*b + 286. Give m(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 19738 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 2*g = 14, -u - 485*g = -488*g - 13. What is the smallest value in u, 269, -1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -17*o + 45. Determine t(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 429, -208, -2971, -8922, -19123, -34636?\nAnswer: -56523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103433 + 103345 = -44*l. Let u(x) be the first derivative of 7 + 1\/3*x**l - 1\/18*x**4 + 4\/27*x**3 + 0*x. Determine c so that u(c) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(1*(sqrt(190) + (2*sqrt(190)*-1 - sqrt(190)) + sqrt(190) + sqrt(190)))\/(sqrt(50)\/(3*sqrt(80))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 148374357 to the nearest 1000000.\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-14)\/1916)\/(2\/(-4)). Let y = -28317\/3832 + a. Let m = 4918\/3 - 29591\/18. Calculate the common denominator of m and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (2 + 1) - (-1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 44*r + 156. Determine x(40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -4*f + 125. Suppose -5*n = 5*a - 5, -3*n + 8*n - 5*a - f = 0. Solve 4*g = -12, 6*c + 24 = n*c - 4*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 2. Let f = 32 + -30. Suppose -i*q + 2 = -f. Which is the third biggest value?  (a) 2\/9  (b) q  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49886 is divided by 207.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (2970\/132)\/((-15)\/(-70))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.122 and 125032?\nAnswer: -15253.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 846.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-14) + 380\/70. Let g(w) = -542*w - 95*w - 101*w + o. Is g(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 6489 + 6163 = -i, 5*i - 1590 = 5*o. Solve 105*q = -106 + i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11840260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s = 49 + 280. What is the derivative of -s*c - 20 + 4 - 17 - 13 wrt c?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128 = 3*o - 431. Calculate the remainder when o is divided by 39.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1333*s - 35 + 15 + 1273*s to p + j*s and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p - 21. Let g = 75 + -63. Let f be n(g). Factor 0 + 0*w + 0*w**2 + 1\/2*w**4 + 0*w**f.\nAnswer: w**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 12 = 0, 0 = 4*j - j - 5*i + 18. What are the prime factors of (33\/(-3))\/(j\/374)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 11, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -198 + 607. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d**2 - 122*d - 252. What is i(63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 - (3 + -12)) + -7. Let x be (73 - 0)\/((6\/i)\/(-3)). Suppose x*w - 107 = 72*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 1822, 746 in increasing order.\nAnswer: 1, 746, 1822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -739\/3 - -244. Are v and -1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 26791 - 26791.0794. What is o rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h = -2441 - 35283 - 4516. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (78\/(-28))\/(1\/2) and 3\/6*(-3 - (-153)\/(-6)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*q + 3*q + 2*q**2 + 23*q + 5*q + 10*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m - 2. Let b be p(-7). Let d be (7 + -2)*b\/(-5). Suppose -4*a = -2*u - 38, 0 = 4*a - d*a + 5*u + 55. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2730 divided by 4.\nAnswer: -1365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.8198504 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mffffmffffmffmfffff. What is prob of picking 2 f and 2 m?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 560286630 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 165 + -125. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.5 - 2.5. Let i be 351\/(-78) + 7\/1. What is the third smallest value in -0.06, 3\/5, i, k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2643 + 11 = -4*v. Suppose -7*i = -5*i - v. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 64 = -58. Which is smaller: q or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of -f**2\/2 - 15*f - 49. Let p be z(-35). Solve w = 2*u + 5*w + p, w = 4*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/83025 and 203\/67650.\nAnswer: 1826550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 384044426 to the nearest integer?\nAnswer: 19597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*q**3 - 4*q**2 + 53*q**3 - 173*q**3 + 63*q**3 + 4*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*q - 58*q = 6. List the prime factors of 187\/34 + q\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 2\/3  (b) 0.48  (c) -351  (d) 5  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*h + 8*h. Let k = 105\/202 + -2\/101. What is n in -n**2 - 1\/2*n - k*n**3 + h = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -56267*l*s**3 + 20582*l*s**2 - 3*l*s + l + 275*s**3 - 12*s**2 - s wrt s?\nAnswer: -337602*l + 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -512 + 638. What are the prime factors of ((-21)\/r)\/((-1)\/4)*1281?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 2*a - 4416 - 7138, 4*d - 11555 = 3*a. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126760 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-2\/9))\/q)**(15\/7) assuming q is positive.\nAnswer: q**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204*f + 2372893 = 114286 - 731829. Calculate the highest common factor of 107 and f.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 + 397*x - 397*x + 25*x**2)*(-x + 2*x - 3*x).\nAnswer: -54*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.0486515 times 8\nAnswer: -0.389212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -278*b + 285*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 1107 divide 5617985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 6*m + 6. Let w(l) = l**2 - 11*l + 33. Let t be w(6). Suppose 9 = -t*k - 9. What is q(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o - 26. Let a be g(0). Let y = -1 - a. What is the remainder when y is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 - -0.08. Let k = 0.01 + s. Which is the smallest value?  (a) -5  (b) 0  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -796051, -3184249, -7164587, -12737071, -19901707, -28658501, -39007459, -50948587?\nAnswer: -64481891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -s + 9. Let d = -2\/681 + -2572\/227. Find the common denominator of 0 + (-21 - (s + 1)) and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 4)*(-4*x + x + 5*x) + (-2 + 4 - 3)*(-1 + 1 - 4*x)*(-4 + 0 + 1).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 15. Let n(p) = -7*p - 10. Let l be n(-7). Let w = l + -24. Solve f*d + w = 3*s, -s - 10 = 3*d - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -8*s**2. Let o(y) = 2*y**2 + 4*y - 4. Let j(h) = -4*h**2 - 9*h + 9. Let t(x) = 4*j(x) + 9*o(x). What is a(t(w))?\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, m: 12}. Give prob of sequence mb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-2)\/4)\/((-163)\/(-82) - 2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 - 894*t + 4 - 24 + 273*t.\nAnswer: -621*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 284*z**2 - 573*z**2 + 296*z**2 - 191 to c + p*z**2 + t*z and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 223 + -218. What is the fourth smallest value in -15, f, 3, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -13094788, -13094785, -13094782, -13094779, -13094776, -13094773?\n\"Answer: 3*y - 13094791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -4*t - 18, 7*o + t = 2*o - 36. Let j(d) = d**3 + 5*d**2 - 6*d + 1. Let q be j(-6). Let y = q - o. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 424248?\nAnswer: 2, 3, 11, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 0 - 1)*(-32 + 32 - 3*l) + (2 + 0 - 3)*(0*l - 2*l + 4*l) + 3*l - 4*l + 4*l - 2*l + 13*l + 2*l to p + x*l and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 27 = 2*f. Let s be (-1 - -3)*f\/(-4). Suppose s = 3*x + v - 1, 4*x - 29 = 3*v. Solve 5*u + x*t + 21 = u, -2*u = -5*t + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 h when three letters picked without replacement from hhehhehehehe?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (13 - (9 - 10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 3*z + 10. Let d be i(-5). Let h = -0.01 - 2.99. What is the second smallest value in h, 6\/11, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 3*c - 19. Let a be 1*5 + (9 - (4 + 3)). Let l be j(a). Solve 0*k - k - l = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -56702 not equal to -56711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - 0 - 0)\/((-15)\/(-40 + 100)). Sort w, -0.3, -0.1, 6, -6 in increasing order.\nAnswer: -6, w, -0.3, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + r + 5, 2*g - 3*r = -r. Let a be (g - 1) + (-164)\/(-41). Solve a*u + 6 + 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.99 - 2. Let u = 0.01 + d. Let l = 3 - u. What is the closest to 0 in -1\/4, 3\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 1.04. Let t = -0.36 - i. Let o = -58 + 56. Sort -0.5, o, t in descending order.\nAnswer: t, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195748037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*a - 5*g, 2*a = -2*g - 13 + 1. Let v = a + 7. Suppose y + 122 = v*x, 116 = 2*x + 3*x - 3*y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 1397?\nAnswer: 12573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 + -9. Let b(s) = s - 4. What is the remainder when y is divided by b(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of f**3\/3 + 6*f**2 - 6*f. What are the prime factors of x(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5\/8, -3, -0.06?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 2\/7  (b) 224  (c) -2\/15  (d) 5  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -26.447918 and -0.2.\nAnswer: -26.647918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2170457 divided by -1.\nAnswer: 2170457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/10 - (-96)\/160?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1104133868 to the power of 1\/3, to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -157 + 2136*s**4 - 10*s**2 + 72 + s - 6684*s**4 + 116 wrt s.\nAnswer: -109152*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 9080, 9444, 9808?\n\"Answer: 364*q + 8716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 449763300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of q**5\/8 - 3*q**4\/16 - q**3\/2 - q**2\/2 + 2*q. Let s(r) be the first derivative of y(r). Determine z, given that s(z) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*h - 5*v - 17, -v = 2*h + 2. Let y = 15 - 11. Sort 5, h, y in descending order.\nAnswer: 5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -16*a**2 - 5*a. Let t(z) = -48*z**2 - 14*z + 1. Give -11*c(v) + 4*t(v).\nAnswer: -16*v**2 - v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5638116890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 524500771 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = z - 6. Let r = z + 11. What is the remainder when (-30)\/(-3*2\/15) is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/66*2 + (-46)\/(-132)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 6*b = -66, 4*g = -5*b + 12860 - 12778 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 5:13 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*r = -8*r - 2028338 - 2155982. Round r to the nearest 1000.\nAnswer: 299000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 52 and 1508.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2100 and 84600?\nAnswer: 592200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9\/15 + -1)*-30. Suppose -3*w - w = -l. Suppose -5*c + 90 = -5*h, 3*c = c + w*h + 34. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6607 - 30*g - 42*g + 6607.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 11:06 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1475356476 a multiple of 7458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 14409*o - 388819. What is a(27)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 965 and -554.19.\nAnswer: -534793.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2022 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + 788988135240.38.\nAnswer: 788988135240.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 18, 31, 48, 69, 94?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 12*o - 356 = -9*o, -4*d + 356 = -5*o. Let m be (-9)\/(-81) + d\/9. Solve m*u + 18 = -32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 52 + 284. What is the highest common factor of 48 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.8 + 0.2. Let r = 1.8 + -5.8. Which is the closest to 1?  (a) r  (b) n  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*((z*z*z\/(z\/(z*z**(-5)))*z)\/z)\/z*z*z**7*z*z\/z**5*z**(-6\/11) assuming z is positive.\nAnswer: z**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 130575413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*((-15)\/(-9) - 2). Let n be 3\/(-3)*(-3 - 0). Suppose -5*j = -u - 23, 4*j = -j - n*u + 31. Solve 3*c - b = j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7164 by -6.\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17984 and 296?\nAnswer: 665408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*(p*p**(6\/13)\/p)\/p)\/(p\/(p\/(p**(-3\/10)\/p))*p))**(46\/7) assuming p is positive.\nAnswer: p**(2277\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -34.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -70*t**3 + 84*t**2. Let f(i) = -i**3 + i**2. Suppose -3*d + 0*d = 5*n - 1151, 4*d = n - 221. Let w = 145 - n. Determine w*f(k) + z(k).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q - 8*q - 1 + q**3 - 2*q**2 + 7 + 0*q. Is p(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 403520 by -5.\nAnswer: -80704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 373611?\nAnswer: 3, 7, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -3*t - 11. Let s be u(-5). Suppose 3 = 5*a - 2*a + 3*j, -s*j = 0. Suppose -n = -5*k + 9 + a, 5*k - 10 = 3*n. Solve -k*c - 4 = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 216190 (base 10) in base 12?\nAnswer: a513a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 4*i**3 + 4 + 4*i**3 - 2*i**3 - 4*i**3 + (5*i**3 - 3*i**3 + 5*i**3)*(14 - 6 - 9)*(2 + 4 - 1) to the form z*i**3 + b*i**2 + x + p*i and give z.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/sqrt(3)*5 - ((sqrt(112))**2 + -1).\nAnswer: -111 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/42819492 and 91\/8.\nAnswer: 85638984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c = 4*c - 5*d, 0 = -3*c - 4*d + 2. What is the nearest to -1 in c, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*f = 24*f + 154. Let g(v) = v**3 - 6*v**2 - v - 42. Let q be g(f). Solve q = -0*l - 3*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 8*q - 18. Let f be t(-10). Which is smaller: 6\/7 or f?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in -1\/3, 2, -3, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 - 15*f**2 + 2*f + 14. Let j(a) = a**3 + 15*a**2 - 2*a - 13. Let m(p) = 4*b(p) + 5*j(p). Is m(-15) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2140637 to the power of 1\/2, to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4945 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -46*k + 635. Let f be i(9). What is the highest common factor of 119 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {f: 1, o: 2, v: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 + 1. Let j(n) = -4*n**2 - n - 4. Suppose -1 = -2*m + 5. Let s be (2\/(-6))\/(1\/m). Calculate s*j(g) - 3*q(g).\nAnswer: g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/5  (b) 5  (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56 and 210?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - 54. Let a = -62.39 - h. Let n = -1.39 - a. Which is bigger: n or -1.7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11497 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 3) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -10*f + 3*f. Let j(b) be the second derivative of 1\/6*b**4 + 1\/3*b**3 + 0*b**2 - 3*b + f. What is the second derivative of j(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 1839  (b) -19  (c) -4  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -30, -104, -226, -396?\n\"Answer: -24*g**2 - 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -23*a**3*b**3*w - 6*a**3*b**2 - 3*a**3 - 7*a**2*b**3 + 4*a**2 + a*b**3 + 2107*a*b + 866673*b**3*w wrt w?\nAnswer: -23*a**3*b**3 + 866673*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 153b21 (base 12) to base 6.\nAnswer: 11411241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7652*l**2 + 7640*l**2 - 22898*l**2 + 7584*l**2.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 19 - 2 = 4*v, 0 = 5*w - 2*v + 27. Let k be (2*4\/126)\/((-2519)\/180321). Let b = -2\/4809 + k. Is b bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15 + -11.6. Let z = 3 - y. Sort 0.1, 4, -5, z in decreasing order.\nAnswer: 4, 0.1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 PM and 5:35 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b. Let z(h) = -189*h - 83. Calculate z(j(t)).\nAnswer: 189*t - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 10*h - 52. Let k be x(5). Let f(z) be the third derivative of -3*z**4\/8 - 13*z**3\/6 - z**2. Let l be f(k). Solve -6 - 4 = -l*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 5*p**2 - 10*p + 17. Let x be z(6). Let y be (-57)\/6*12\/(-2). Let d = x - y. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0303 + 53.2097. Let o = -25 - 28. Let k = i + o. What is k rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1670 - 822. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17)\/((-85)\/6) - 1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 2 + 2)*(-1 + 2 - 2)*(-21 - 14 + 16)*(1 + 2 + 1).\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 200 - 3*q**4 - 2*q**3 - 4*q**3 + 47*q**3 - 416 + 208 to the form l + r*q**4 + y*q + g*q**3 + p*q**2 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15617 - -15615.4. Which is the second biggest value?  (a) 17  (b) t  (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 317567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 227690 divided by -5?\nAnswer: -45538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 333.969 centuries to years.\nAnswer: 33396.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*j**4\/4 + 135*j**3 + 765*j**2 - 6480 = 0. Calculate j.\nAnswer: -12, -6, 12\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 g, and 1 u when three letters picked without replacement from glxlguulxlxixxxl?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23500 divided by -49.\nAnswer: 23500\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 27*c**2 + 25*c + 50. Let w be l(-7). Calculate the greatest common factor of w and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c**2 + 5*c + 10. What is l(-9)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 AM and 5:03 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5293559?\nAnswer: 1973, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -192917, -192916, -192915, -192914, -192913, -192912?\nAnswer: -192911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -75b - -4?\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, h: 5, d: 3, o: 6, z: 1, j: 1}. What is prob of sequence ohoz?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 6. Let x be (y\/3)\/((-3)\/9). Let l(u) = -2*u + 5 - u + 6*u. Calculate l(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19803712469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of 1\/6*q**4 - 16*q**2 + 0*q**5 + 0*q + 0*q**7 - 1\/48*q**8 + 0*q**3 + 0*q**6 + 0. What is the second derivative of z(r) wrt r?\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -7*a - 15. Let u(g) = -6*g - 14. Let m(v) = 5*b(v) - 6*u(v). Let j(w) = 2*w**2 + w - 5. Let d be j(0). Give m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 1171 - 186*q - 579 - 586. List the prime factors of d(-3).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10279 - 10283. Put -2, -3, k, -6.8, 1 in increasing order.\nAnswer: -6.8, k, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 40*w**2. Suppose -3*r = r - 160. Let p(o) be the first derivative of -252*o + o**2 + r - 19 + 252*o. Give a(p(g)).\nAnswer: 160*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -142, -641, -1516, -2815, -4586, -6877, -9736?\nAnswer: -13211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/33 - (-4)\/22. Suppose 4*m - 6*m - 2*l = -402, 2*m + 5*l - 411 = a. Suppose -3*x - 36 = -5*x. What is the greatest common factor of m and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4\/26 + 1519\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7224 divided by -1032\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2311 + 2315 + -56 + 1.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -15*m - 2. Suppose 6*r - 4*i + 25 = 3*r, -4*i = -4*r - 28. What is the tens digit of a(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60389 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 720 + -223. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 205 at least as big as -7264.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 4*q = 4, -19*k - 521 = 5*q - 446 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 9\/616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) -0.5  (b) -4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15766 + 15805.627. Let d = 2.757 - a. What is d rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162 is divided by ((-213)\/21)\/(138\/(-966)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -173 - -222. Suppose -i = -4*y + 39. Calculate the greatest common factor of y and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 + 0.4387.\nAnswer: 4.4387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 8*a**2 + 8*a + 9. Give p(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -78 + 96. What is the remainder when -1 + 14\/v - 7840\/(-45) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t**3 + 13*t**2 - 4*t - 3. Let l be y(6). Let x(s) = -s**2 + 7*s + 13. Give x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3 - 4 + 2)*(-2*s - s + 2*s) + (1 + 1 - 3)*(-23*s + 181 - 181))*(0*s**3 + 4*s**3 + s**3) in the form j*s**2 + b*s**3 + i*s**4 + g*s + c and give i.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/40)\/(56\/(-10)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3877953*o - 11633947*o + 3878047*o + 3877944*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (208 + -222 - (-34 + -1)) - 72?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 10:19 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23143 is divided by 21101.\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -6. Let b(r) = -r + 6. Let v be b(j). Suppose -n + 5 = 0, 0*n = v*i - n - 31. Solve 3*u - 3*s = -i, -4*u - 7 + 3 = -s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3441, -3475, -3565, -3711, -3913?\n\"Answer: -28*f**2 + 50*f - 3463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 12853872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 12757 + 116?\nAnswer: 12873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*x + 3*p, -5*x - 4 = -x + p. Let y be (x - -4) + -2 + 0. Find the third derivative of -4*o**6 - y*o**2 + o**2 + 3*o**6 wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 899868 + -34?\nAnswer: 899834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 3. Let t = g + 0. Suppose 7*q = t*q - 3. Let a(d) = 8*d**2 - 1. Give a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -402654271.23 minus 0.6?\nAnswer: -402654271.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**0\/(s\/(((s**(-1)\/s)\/s)\/s)))\/(s**(-2)\/(s\/s**5)) assuming s is positive.\nAnswer: s**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24 - -24. Let l = -12\/7 + 94\/63. Let r = 5 + -7. What is the nearest to j in -2\/7, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k - k + 747676384012 - 747676384012.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1106509*w = 1106713*w + 11220 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*m - 3*z, -z = -m + 2*m. Suppose -m = -0*h + h. Let c = h - -4. Put c, 0, 4 in decreasing order.\nAnswer: 4, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**3 + 1. Suppose 65 = 12*l + l. Suppose -5*n + 205 = 5*w, -l*w = -w - 2*n - 188. What is the remainder when w is divided by j(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of -7\/6*z**6 + 0*z**3 + 0*z**5 + 0*z + 14*z**2 + 0*z**4 + 25. What is the second derivative of u(k) wrt k?\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u**3 + 6*u**2 + u + 1. Let b(p) = 4*p**3 + 11*p**2 + 1. Let r(k) = -3*b(k) + 5*o(k). Calculate r(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -5*u - 5, -4*u - 28*g = -27*g - 8. Suppose -u*c = 3 - 27. Solve -c = -6*n - 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4644.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 325240\/(-84) + (-12)\/126. What are the prime factors of -2 - -1 - p\/22?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001231046288 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -3*b - 3. Let c(o) = 2*o + 3. Let k(d) = -3*a(d) - 4*c(d). Calculate k(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 4*w + 14 - 8 = 0, c + 1 = 3*w. Let i(k) = -k**2 - 6*k - 2. Let a be i(-5). Solve a*f = -3*n - c + 11, n + 2*f = 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*s**2 + 5*s**2 + 408550 + 5*s**2 - 408550.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/9158 and 13\/38928.\nAnswer: 178251312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from oljjllljjjl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 113 + -3414044?\nAnswer: -3413431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4641246 and 645322?\nAnswer: 2818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 49*u + 324 = 0. Let t be (76 - 74) + 13\/u. Sort 2\/7, t, 7, -2\/5 in increasing order.\nAnswer: -2\/5, t, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -141320 (base 5) to base 3\nAnswer: -22000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49940741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 59 - -4. Suppose 5*b = -2*w + 24, 0*b + 2*b + 8 = 0. What is the remainder when r is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or -515?\nAnswer: -515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**8*f)**(9\/10)\/(f**(-1\/20))**(-41) assuming f is positive.\nAnswer: f**(-149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i - 6. Let h be g(4). Let w(l) = 2*l**3 - 4*l**2 + 5*l - 17. Let z(y) = y**3 - y**2 + y - 6. Let s(j) = w(j) - 3*z(j). Determine s(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144\/108*6\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4164834082 to the nearest integer?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-666)\/132 - -5) + (-2356)\/3344\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**3 - 2164*w**2 - 184144*w - 1027824.\nAnswer: -4*(w + 6)*(w + 98)*(w + 437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 636826340 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 - 9*j**2 - 9*j - 4. Suppose -3*g + g = 0. Suppose -b + 0 - 8 = g. Let q be s(b). Solve -q*m = -h + 13, 3*h = 5*m - 0*m + 25 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4.7535546 and 0.078491.\nAnswer: -4.6750636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of -b**3\/3 - 3*b**2\/2 + 17*b - 22. Let i be a(-9). Let f = i + 73. Calculate the greatest common factor of f and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**4 - 4*l**3 - l**4 + 3*l**4 + 4*l + 0*l - 5*l**4 + 2*l**2.\nAnswer: -2*l*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*c**3 - 4*c**3 + 416*c + 420*c + 13*c**3 - 836*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vnvnnvnnvnvvnnvnvvnn. What is prob of picking 2 v?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 38 - 33. Let f = -6 + k. Is 23 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50436482869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.7, -0.1, 1\/13, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 5*r = 10, w + 5*r + 4 = -1. Let l = -51.7 - -31.8. Let s = l - -19.9. Is s at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48, 80, 110, 138, 164, 188?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-3 + 4*(2 + (sqrt(108)*-2 + sqrt(108) - sqrt(108))) - (-2 + sqrt(108) + 4 + 0 + sqrt(108) + sqrt(108) + 5)))**2.\nAnswer: 1056*sqrt(3) + 52288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - 1364?\nAnswer: -1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 87509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/5)*p)**(-1\/13)*((p*p**(1\/3))\/p)\/(p*p**10) assuming p is positive.\nAnswer: p**(-2098\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40679851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -53438.69 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, o: 10, k: 3, c: 3}. Give prob of sequence ko.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of c**7\/147 - c**6\/35 + c**5\/70 + c**4\/14 - 2*c**3\/21 - 7*c + 2. Let q(z) = 0. What is z?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*a - 26 = 0, 0*f = 3*f - 4*a + 78. Let i(r) = -r**3 - 25*r**2 + 28*r + 85. Calculate the remainder when 80 is divided by i(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-6)*9\/6. Let q = 0 + r. Let w = q + 7. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 + 10 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -9*r**2. Let w be (3 - 2)\/(1\/5). Let b(s) = 11*s - 5. Let t(v) = -5*v + 2. Let j(g) = w*t(g) + 2*b(g). Calculate j(m(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 0.405  (b) 1\/6  (c) -5  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-808)\/606*21\/(-56))\/(2\/444)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -12122012111 (base 3) in base 12?\nAnswer: -54264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110010001010 (base 2) to base 11.\nAnswer: -2459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 871179?\nAnswer: 3, 290393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 159 = 5*w - 118, 346 = -4*n - 5*w. Let q = n + 406. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -91*q**3 + q. Let k be t(-1). Suppose 0 = 2*r - 4*r + 6, 5*r = a + 484. Let v = 489 + a. Calculate the greatest common divisor of k and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/4)\/(2\/32). Let f = q - 16. Suppose f = -0*x - x + 159. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t + 1098 = 1084 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -6767052 divided by -3\nAnswer: 2255684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*z + 30*z = 25704. What is the greatest common divisor of 693 and z?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of d**4\/12 + 2095*d**3\/3 + 5308*d**2 - 479*d - 1. What is the derivative of i(b) wrt b?\nAnswer: 2*b + 4190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 2*b**2\/15 + 9218*b\/15 + 2456 = 0.\nAnswer: -4605, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8101 is divided by 192?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = s - 2. Let q be (-1)\/(-21) + s\/(-3). Which is the nearest to -1?  (a) 1\/2  (b) 0.3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 + 6*a - 8. Let q be r(4). Solve 3*p + 2*p - 5 = q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11749714?\nAnswer: 2, 19, 241, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -382 + 355 + (2 - -29) - (0 + 1 + 32).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7441 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 1 - -6 - (185 - 171)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36, -70, -104, -138, -172?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/(-21)*84\/(-40)*-5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: In base 2, what is -1001000001 + -11110100?\nAnswer: -1100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 13 = u, 7*s + u = 2*s + 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.481 - -379.519. Let d = w + -379.99. Which is the third biggest value?  (a) d  (b) -0.2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3332411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (150\/30)\/((-30)\/84)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 16448469.\nAnswer: 6579387.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 80758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*a + 12*d - 8*d = 20, 5*a + 5*d - 25 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 28 + -16. Suppose -72*y - p = -75*y. Let t(x) = y*x + x + 0*x + 2*x. Let v(r) = 5*r**2. Calculate v(t(w)).\nAnswer: 245*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.04684 or 259?\nAnswer: 0.04684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/3))**(-27)\/(w*w**(-3)*w*w**(-3\/5)))\/(((w\/(w**(-2\/11)*w))\/w**(1\/4))\/(w**(-2)\/w*w*w**(-1\/4))) assuming w is positive.\nAnswer: w**(958\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -3.5. Let p = 2\/89 + 83\/267. Which is the nearest to -1?  (a) j  (b) 0.2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 223849322 to the nearest integer?\nAnswer: 14962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 9737.2+-31\nAnswer: 9706.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + s + 134, 0 = 4*n - n - 4*s - 60. What is the smallest common multiple of 315 and n?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -415, -835, -1255?\n\"Answer: -420*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 12*b = -16*b - 64, 3*n = 5*b + 62. Let d = 293 - 167. What is the highest common factor of d and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7640 + -7642. Which is the third smallest value?  (a) m  (b) 1  (c) 2326\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of 3*o**4\/4 - o**3 + 2*o**2 - 4*o - 30. Let p(g) = 4*g**3 - 4*g**2 + 5*g - 5. What is -4*p(u) + 5*w(u)?\nAnswer: -u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (5 + -2*sqrt(1331) - 3*(sqrt(1331) - ((1 + sqrt(1331) - sqrt(1331)) + sqrt(1331)))) + 4*(sqrt(1331) + (1*sqrt(1331) - sqrt(1331)) + -2))**2.\nAnswer: -176*sqrt(11) + 5340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 149011*t = 149013*t - 50, -l - 2*t - 10 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (33\/9)\/(2\/(-6)). Let k(i) = -i**2 - 13*i + 13. Is k(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -217.00762 + 217. What is k rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 104, 415, 934, 1661, 2596, 3739, 5090?\nAnswer: 6649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21\/(-10)*-4*625\/50.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -192 + 218. Suppose g*t + 120 = 34*t. Solve 5 = -2*c + t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(119) + sqrt(119) + -2*sqrt(119))*4 + sqrt(119))\/sqrt(7) - sqrt(170)\/((sqrt(120)*-3)\/sqrt(12)))**2 + -2.\nAnswer: 254\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qi when two letters picked without replacement from ccicbbbbbcdidbbfqbq?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 + 7*b - 12. Let f be x(-9). Let k be (3\/2)\/((-1)\/(-2)). Solve k*d = -f - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420468 (base 9) in base 11?\nAnswer: 160674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand f**2 - f**5 - f**2 + (-7*f + 12*f - 26*f)*(-2*f**4 + 3*f**3 - 3*f**3).\nAnswer: 41*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c**2. Let j(n) be the first derivative of -n**6\/120 + 3*n**5\/40 - 13*n**3\/3 - 20. Let g(y) be the third derivative of j(y). Determine z(g(l)).\nAnswer: -18*l**4 + 108*l**3 - 162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 157 = n, 2*x + 4*n + 69 = 221. Suppose 5*t = 5*v - 4*v + x, 2*t + 4*v - 18 = 0. Suppose 2*b = -1 + t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of 1003*x**4\/3 + 4511*x**2\/2 - 1026*x + 1. Differentiate a(s) wrt s.\nAnswer: 8024*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-4)*(9 + -17). Find the second derivative of 2*w**4 + 3*w**y + 4*w - w**4 + 7*w wrt w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/8  (b) 0.6  (c) -3\/7  (d) -0.1  (e) 166  (f) -2\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 13\/6 + (-9)\/54. Let c(a) = 8 + 5*a**x - 8. Let t(l) = -2*l. Give t(c(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 6*p**2 - 8*p - 8. Let a be f(-7). What is the remainder when (0 + -1)\/a + 0 is divided by (112\/224)\/((-2)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (-10 - -5)) + (0 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7*(-40)\/138 + -2. Let h = -93 - -94. Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94035 is divided by 7443?\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*c + 5*k - 28 = 0, 0 = 4*c - 3*k + 3. Find the second derivative of 23*z + 2447*z**c + 18*z**4 - 2447*z**3 wrt z.\nAnswer: 216*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - -1. Suppose -n = -2*u + 1. Determine z, given that u*z**4 - 2*z**2 - 5*z**2 + 5*z**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 24310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 13) to base 11\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2179 + 6233. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fifty-one halves of a kilogram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 10  (b) 2\/7  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1331891 (base 10) to base 11\nAnswer: 82a740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 + 19. Let t be ((-22)\/13)\/(424\/1378). What is the third biggest value in -2\/3, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 83433350 divided by -55.\nAnswer: -1516970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-8*1*(-884)\/(-272))\/(-1)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/4, -2, 42, 5, -45?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12.12 - -740.12. Let h = f + -731.03. Let v = 0.03 + h. What is the closest to 1 in v, 2\/11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - 1. Let d = m - 4. Let j be (4\/6)\/(d\/72). Calculate the greatest common factor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -147*l = 1009 - 274. Sort 5, l, -10.\nAnswer: -10, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 264841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 4*q = -14, q + 13 = -4*w - w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/(0 - (-2)\/(-4)). Suppose 4*w = -w + c. Find the third derivative of -2*t**w - t**2 + 0*t**2 + 2*t**4 wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(343) - sqrt(56)\/sqrt(128).\nAnswer: -85*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = -9*k + 12*k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and 1279.0892.\nAnswer: 1279.0892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (28 + o**3 + 1 - 4)*(0 + 2 - 3)*(2*o + 3*o - 4*o) to the form m*o**3 + z + n*o + p*o**4 + h*o**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 6d4?\nAnswer: -6d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 5*h**2 - 4589650*h + 1053244356125 = 0.\nAnswer: 458965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**3 + 10963*j**2 + 295298*j + 284336 = 0 for j.\nAnswer: -10936, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + -2. Let r = -48.31372 + 39.315. Let a = f - r. What is a rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-4) - 110\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 - 5*z + 19. Let y be g(-8). Let f be y\/((-3)\/(4 - 1)). Solve -5 = d - m + 2*m, -d - f = 5*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3495*t - 3*t**2 - 4 - 3612*t + 4.\nAnswer: -3*t*(t + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-774)\/63 + 12)*14\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.64 * 3\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**1\/((n**(-9)\/n)\/n))\/(n**(-3)\/n)**(12\/7) assuming n is positive.\nAnswer: n**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/954 and -65\/613422.\nAnswer: 613422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(125))*5 + ((1 + sqrt(720) + sqrt(720) + sqrt(720))*-6)**2.\nAnswer: 2617*sqrt(5) + 233301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (28 - 28 + 7*c)*((-2*c + 2*c**2 + 2*c)*(-8 + 1 + 1) + 6*c**2 - c**2 - 2*c**2) as l*c**3 + u*c**2 + i + n*c and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (29*20\/1160)\/(1\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2 + 8*v - v - 6*v. Let b be c(2). What is the highest common factor of 6 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + -8. Let r = a - -6. Let b(v) = 2*v. Calculate b(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133785.\nAnswer: 3, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 6) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -342 - -371. Let o(w) = w**2 - 31*w + 60. Let p be o(m). Solve -1\/5*q - 1\/5*q**p + 2\/5 = 0 for q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -610936 or -610941?\nAnswer: -610936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - z - 105 = 0. Let o = z + 21. What is the common denominator of 113\/14 and (56\/60)\/(o\/(-105))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 + 2*w**2 + w. Let r(f) = -553*f**3 - 91*f**2 - 93*f. Let s(c) = 2*j(c) - r(c). Let i(m) = -23*m**3 - 4*m**2 - 4*m. Calculate -95*i(k) - 4*s(k).\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20.59 + -21. Let v = q + -0.09. Let t = -0.2 + 0.3. What is the nearest to t in v, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -j - m, 2*j = -0*m - m + 20. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - b - 213 = -0*x, -x - b = -67. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 10 + (-210 + 214 - ((5 - 6) + 114))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.82 times -6269?\nAnswer: -105444.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of 15 - 11\/3*o**3 + 7*o**2 - 2*o. Let k(w) = -7*w**2 + 9*w - 1. What is 5*j(v) - 8*k(v)?\nAnswer: v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -3*t + 3. Suppose 4*y = -y + 10. Which is bigger: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 PM and 6:56 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 - 7*r**2 - r - 1. Let s(k) = k**2 - k - 1. Let d(n) = -b(n) - 3*s(n). Let m be d(-3). Let o = m + 6. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*r**2 - 59*r + 6*r - 13*r - 2*r**2 - 46*r to i*r**2 + w*r + n and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37109*v - 4536 = 36947*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 43 * 0.6\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/2)\/((-6)\/16). Sort -3, w, 2\/3.\nAnswer: -3, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*n**2\/5 + 123628*n\/5 - 27472\/5.\nAnswer: -2*(n - 6868)*(9*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/508 and (-2)\/(-10) + ((-19719)\/(-90))\/7.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132613 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149 + 131 = 9*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 34647 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1 + (sqrt(605) + sqrt(605)*-2 - sqrt(605))**2) - -3*(sqrt(180)*-1)**2*-4.\nAnswer: -11836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-156)*-3)\/((-5)\/(-10)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*4*sqrt(132)*1)\/(sqrt(363)*1 - (sqrt(180)\/sqrt(5))\/sqrt(12)).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14757664 and 154448?\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1817436893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 24\/(-32) - (-1 - 11\/4). Sort f, -4, 1 in decreasing order.\nAnswer: f, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i**(-2\/5)*i))\/(i**2*i))\/((i*i**(-2)\/i*i*i*i)\/(i**(3\/4)*i)))**(10\/13) assuming i is positive.\nAnswer: i**(-37\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of p**4\/2 - p. Let r(u) = 5*u - 77. Let j(s) = -s + 14. Let w(d) = 22*j(d) + 4*r(d). Give w(m(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**2 - 1 + 1)*(4422*h**2 + 5 + 2*h - 4422*h**2 - 18*h**3).\nAnswer: -18*h**5 + 2*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 179303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w - 1. Let g(y) = -y**2 + y + 1. Let v be g(0). Let s be m(v). Is -12\/11 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 10\/3*z**3 - z**2 + 5*z + z**4 - 61. Find the second derivative of s(x) wrt x.\nAnswer: 24*x + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26969373163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -320852441 and 2?\nAnswer: 320852443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 190*l**2 + 65*l - 64. Give a(1).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {t: 1, f: 1, e: 3, z: 2, g: 7, v: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of 1\/150*y**5 + 0 + 0*y - 1\/30*y**4 - 1\/5*y**3 + 4*y**2. Suppose w(u) = 0. What is u?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 564545 is divided by 77?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.141 and -0.3?\nAnswer: 0.0423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 - 2*b**2 - 3*b. Let a be u(3). Let r(q) be the second derivative of -1\/3*q**3 - q**2 - 1\/24*q**4 - 5*q + a. Find t, given that r(t) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -q*x**3 - 750*q*x - 2*q + 29*x**4 + 3*x**3 wrt x.\nAnswer: -6*q*x + 348*x**2 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -d**4\/12 + d**3 - 6*d + 3. Let b(f) be the first derivative of s(f). What is the second derivative of b(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2059  (b) 10\/63  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 85, 93, 105, 121?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/(-823 + 826)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -309 + 306. Let j = 0.69 - 0.39. What is the closest to 2\/7 in j, m, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (-15 - -4 - -12)) + 9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 + 8*c + 1. Let d(r) = -7*r**2 - 46*r - 1881. Give -d(k) - 6*y(k).\nAnswer: k**2 - 2*k + 1875","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 29 and 4734\/157 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2592995 and 3565.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 + 1296*q + 326*q - 3 - 1634*q.\nAnswer: -12*q - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4097 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-11354)\/(-56)*(195 + 1 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 7:09 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 14\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -719, -1449, -2177, -2903?\n\"Answer: u**2 - 733*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1052343123 > -1052343123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -7700 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/6)\/((-1)\/(-807)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and 0.4.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**5 - 4*u**5 + u**5 + 3*u**5 + 4*u - 4*u + (2 - 2 + 1)*(-1 - u**5 + 1) + 5*u**5 - 2 + 0 + 18*u**5.\nAnswer: 24*u**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -0*s - 2*s - v, 0 = s - 3*v + 17. Let m be s\/3*(-13 + 7). Suppose 4*j + 0*j = 2*u + 10, -13 = -u - 4*j. What is the closest to 0 in u, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59 = -22*z + 29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -249*g + 259*g = 90 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/297 and 41\/1089.\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - (-75 + -6)) + -18 + -24 + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2*t + 116 = -t, -25 = -5*t. Let v = p + -39. Put v, 6, 2, 0 in descending order.\nAnswer: 6, 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*3*sqrt(77)*2*-5)\/(-6*sqrt(567)*3 - -2*(sqrt(567)*-1 + sqrt(567) - sqrt(567))).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i - 8 = 13*i. Let z(m) = m + 10. Let g be z(i). Suppose 4*r + 16 = g*r. Is -8 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of -1\/24*g**4 - 23*g**2 + 0 - 1\/6*g**5 + 1\/3*g**3 + 4\/105*g**7 + 5\/336*g**8 + 0*g - 1\/30*g**6. What is f in y(f) = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 10 = -x + 2*j, -5*j = -2*x - 25. Suppose -110 = -x*p + 2*p. Let n = p - -66. What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 213 = -2937. Calculate the remainder when d is divided by 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 473252276.\nAnswer: 2, 7, 29, 109, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.9796 milligrams to kilograms.\nAnswer: 0.0000649796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -48 (base 14) to base 15.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 448513 and 8047.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2470 is divided by 1081?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 - p**2. Let c be b(-1). Let l = c - -13. What is the remainder when 49 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*c + 45 = -27*c. Let t = c + 18. Find the second derivative of 10*s - 12*s**t + 13*s - 8*s + s**3 wrt s.\nAnswer: -66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -13 + 6 - 2*(-31884)\/9110. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -444 = -2*j + k, -1116 = -5*j + 2*k + 2*k. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 - (34 - 29 - (-1 + 10 + 6))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 3. Let w = -2 + 1.3. Let q = w + -1.3. Which is greater: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7004664*n**4 - 2086429*n**2 + 1?\nAnswer: -168111936*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - n + 429, n = m + 4*m - 715. Calculate the greatest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -3 + 0*v**2 + 0 - 3*v + 2*v**2. Let g(r) = -3*r**2 + 5*r + 5. Suppose 0 = -412*k + 1229 - 454 + 1285. Calculate k*n(m) + 3*g(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 10596164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*154.\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 12:07 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1482\/1729)\/(90\/112). Let d(z) be the first derivative of 0*z**2 - 4\/5*z**5 - 2\/15*z**6 + 0*z - h*z**3 + 27 - 8\/5*z**4. Factor d(t).\nAnswer: -4*t**2*(t + 1)*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 + l**2 + 2 + 2*l - 5)*(-4*l**3 - l**3 - 3*l**3).\nAnswer: -16*l**5 - 16*l**4 + 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 9*r**2 - 9. Let a(n) = 4*n**2 - 4. Let b(x) = -7*a(x) + 3*f(x). Suppose 4*h + 14 = -2*s, h = -4*s - 9 - 5. Determine b(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/7)\/g)**36*g**(2\/7)\/(g\/(g\/(g\/g**(-26)))))**13 assuming g is positive.\nAnswer: g**(-949)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f**3*w**3 - 7*f**3*w**2 + 16*f**3 - w**5 - w + 4 wrt w?\nAnswer: 12*f**3*w - 14*f**3 - 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -8*y - 243. Let a be q(-33). Solve 9*m + a = 4*m - k, 4*m + 18 = -2*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 9*k**2 + 4*k - 4. Let l be y(4). Let t = l - 102. Is 608\/18 + 12\/t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -9*d**3 + 1. Suppose 0 = 5*r - 3*m - 11, -2*m = -2*r - m + 4. Give h(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.3, -88, 303 in ascending order.\nAnswer: -88, -3, 0.3, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -44492, -88761, -133034, -177311, -221592?\n\"Answer: -2*h**2 - 44263*h - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 217794.\nAnswer: 2, 3, 36299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 170\/(-136)*2\/(-20)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-889)\/(-7112) - 59\/88.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-7\/3))**(-11\/4)*u*u**(-10\/7)*u\/u**(1\/10) assuming u is positive.\nAnswer: u**(-913\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qdmn when four letters picked without replacement from yqdmynwd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -195*w + 317 - 5582. Put 22, w, -1\/3 in increasing order.\nAnswer: w, -1\/3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 127 = 3*d + 2*d, 0 = 5*d - 4*k - 143. Let j(n) = -n**2 - 5*n - 3. Let w be j(-4). Suppose w + d = 4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*l**2 + 188\/7*l - 4418\/7.\nAnswer: -2*(l - 47)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, b: 3, e: 6, k: 8}. What is prob of picking 1 n, 1 e, and 2 b?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3.8  (b) 0.5  (c) 0.2  (d) 0.3  (e) -4\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1142833524 a multiple of 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -5*x**3 - x**2 + x - 1. Let q(g) = -6*g**3 + 2*g - 2. Let p(v) = 4*q(v) - 5*r(v). Calculate p(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-36 - -12) + (4 - -2) + -3 + -6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 203*p**2 + 1898*p - 44319. What is w(211)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*i - 229*i - 442*i = 172*i + 42840 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.5, 2, -3\/4 in decreasing order.\nAnswer: 3, 2, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(12)\/(sqrt(6)*-2).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*a - 315 + 68. Is 2 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43306223.\nAnswer: 47, 921409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -112, -114, -116, -118?\n\"Answer: -2*z - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pjpx when four letters picked without replacement from xxqpjbxjjqbxbpqxpb.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6195 + 2?\nAnswer: -6193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 94 and 24064.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/2 and 5\/10046836?\nAnswer: 10046836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 20\/8*-2*4\/(-50)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 4*j = 30, -s + 26*j - 240*j + 1310 = 245 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4216465 is divided by 3241.\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {v: 3, g: 3, w: 9, a: 2}?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i - 3. Let k be j(0). Let g be (0 + 18\/(-6))\/(k\/(-32)). Let f be g\/(-21) - (-8)\/(-12). What is the closest to 1\/4 in -2\/13, 2\/13, f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -96 + 99. Let r be (33 - -4) + h + 0. What is the greatest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -0.132, 1\/8, -0.2546?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -162.38 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -264 divided by -24\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -5  (c) 1  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a + 32. Suppose -3*b + 14 - 47 = 0. What is the tens digit of i(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -57035952 by 102.\nAnswer: -559176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (26*p + 20*p - 4*p)*(1 - 1 + 4*p + (-2 + 4 - 1)*(-5*p + 2*p + 2*p)) to d + a*p + s*p**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -6*l + 39. Let u(d) = -2*d**2 - 19*d + 16. Let v be u(-10). Calculate the smallest common multiple of s(v) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 - 58*i + 3. Let p(s) = 74*s - 5. Let a(j) = -3*p(j) - 4*u(j). Let c(q) = -2*q**2 + 5*q + 1. Calculate 2*a(h) - 5*c(h).\nAnswer: 2*h**2 - 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -4*x**2 + 74*x - 80. What is the remainder when 195 is divided by u(16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) -5  (c) 1  (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-27*(-4)\/24)\/(-4*(-1)\/16). Solve -22*o = -19*o - h + n, 4*h + 8 = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*z - z + 5*z - 6*z to n*z + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/65985 and 31\/2078130?\nAnswer: 172484790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.5, 0.1, -1, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8671 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6*(3 + 2 + 37\/3). Let t = u - -104. What is the tens digit of 6*4\/(-6) + t + 138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -6*n + 2. Let k be m(-3). Suppose 2*j + 383949 = -5*z - 111043, 0 = 5*j - k. Round z to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 53\/9, 0.5, 1, -5\/6?\nAnswer: 53\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.294 + 0.293999768. What is s rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -39 - ((22 - 14) + -42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 + 5*i**2 - 10*i + 3. Let b be x(-6). Suppose -5*y + 13 = -77. Calculate the highest common factor of b and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 319*h**5 + 7*h - 70 wrt h?\nAnswer: 6380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 61 - 45. What is the remainder when 60 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {y: 1, t: 1, x: 6, d: 1}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11*u**2 + 410365*u - 479049493 wrt u.\nAnswer: -22*u + 410365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6209, -6130, -6051, -5972, -5893?\n\"Answer: 79*c - 6288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2  (b) -5  (c) 2  (d) 482\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyyyyyyyyyvyyyvyvu. What is prob of picking 4 y?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 3*o**2 - 4*o - 3. Let r be t(0). Suppose -7 = -3*q - 1. Sort r, q, 5 in decreasing order.\nAnswer: 5, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p + 0*p + p)*(3 + 0 - 4) + 0*p + 0*p - 2*p + 281 - 281 - 79*p.\nAnswer: -83*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**3 + 2*d**4 + 3*d**3 + (3*d**2 - d**2 + 0*d**2)*(-2*d**2 - 3*d**2 + 6*d**2) - 4*d**4 + d**4 - 2*d**4 + 2*d - 2*d - 5*d**4.\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 452901.\nAnswer: 3, 150967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-15))\/(((-20)\/6)\/(-10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/23857 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 26?  (a) 5  (b) 8\/5  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the second derivative of 13*g**6\/45 - 79*g**5\/60 + g**4\/12 - 2944*g. What is i in w(i) = 0?\nAnswer: 0, 1\/26, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -47125 - 46.46.\nAnswer: -47171.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232*v + 333*v = 1428847. What is the thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232*l - 930 = -222*l. Let a be (48 + l)*4\/6. Let p = -83 - -50. Does p = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/3  (b) -1\/4  (c) 3\/14  (d) 11  (e) 336  (f) -24  (g) 0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12309 - -12260. Sort k, 3, -8, 0.03 in descending order.\nAnswer: 3, 0.03, -8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of -1\/3*m**3 + 7\/20*m**5 + 1\/12*m**4 + 0 + 1\/2*m**2 + m. Does 7 divide u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 5217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1441, -1261, -769, 191, 1775?\n\"Answer: 26*i**3 - 2*i - 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2*v + 380 = -126, -391 = 4*t + 3*v. Let j = -99 - t. Solve -5*q - j = 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 - 34. Let y be 8 + q\/9*-6. Suppose -405 + 105 = -y*o. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10507 is divided by 3683.\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l. Let n(d) = -8*d - 2225. Let q(m) = 3*m + 1105. Let t(y) = 2*n(y) + 5*q(y). What is t(j(c))?\nAnswer: -2*c + 1075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 13*-21242562\nAnswer: -276153306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 647757.4 days in nanoseconds?\nAnswer: 55966239360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - -5. Let l be 23\/j + ((-87)\/21 - -4). Factor 3 - l*t + 3\/2*t**3 + 3\/2*t**4 - 9\/2*t**2.\nAnswer: 3*(t - 1)**2*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 59.038 + -0.038. Let q = j + -26. Let w = 33.27 - q. Round w to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 PM and 10:37 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-18)\/117 - (-119)\/13. Suppose 19*t = 22*t - h. Differentiate 24 + 6*o**t - 54*o**3 - o**3 with respect to o.\nAnswer: -147*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*p**2 + 9*p**2 - 6*p**4)*(-2 + 2 - 2*p) + 626*p**5 + 0*p**4 - 6919*p**5 + 0*p**4.\nAnswer: -6281*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrsrs. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 4*h + 16. Suppose -8 = 4*y - 4*p, 0 = -4*p - 6 - 14. Let j be n(y). Is (11 + j)\/(1\/(-13)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 5*o = 5, -2*g - 8 = -3*o - 26. Let t(f) = -f**2 - 2*f + 9*f + 0*f - g. What is the units digit of t(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-2) + -13 + 10. Suppose v - 20 - 10 = s. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 3362, -9 in increasing order.\nAnswer: -9, -5, -1, 3362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 3 + 5 - (9 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = k + 2*x, 4*k + 2*x = -0*x + 20. Suppose -o = -k*z + 278, -2*z = 3*o + 106 - 284. Let l = 112 - z. What is the remainder when 56 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 3832 = h. What are the prime factors of h?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 - 19*r**2 - 20*r - 6. Let o be h(20). What is the remainder when 74 is divided by (-1 - o)\/(22\/110)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*i + 201 = 109*i. Let z = i + 133. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173475 is divided by 5420.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/116820 and 61\/146025?\nAnswer: 584100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + 12. Suppose -x + 3 = -z*x. What is the remainder when (-2 - -7) + (0 - 0) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 0*k + 2*k = 10, 25 = 5*k. Suppose h = -0*r - r + 63. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -505000 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*y**2 + y**2 - y**2 + 6*y**2)*(-442*y + 247*y - 1384*y) to the form c*y + z + d*y**2 + p*y**3 and give p.\nAnswer: -4737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 116 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1532 and 74211612?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 4*k + 44, 62*k + 23 = 3*x + 61*k. Solve 12*c + 108 = -x*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 4) + 1 - (40 + -41)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19962 - 12852. Is o greater than 7112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 37 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z - 61430 = -22*z. What are the prime factors of z?\nAnswer: 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4620562 to the nearest integer?\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1360 and 205020?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(132) + (sqrt(132) - 1*sqrt(132)))*-2)\/(-2*sqrt(192)*-5).\nAnswer: -3*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = p + p. Suppose -2*b + 2*g - 68 = -394, 0 = p*g - 20. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6668 - 2659*z**2 - 7605 + 6514 - z with respect to z.\nAnswer: -5318*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12067655 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 916485.5l?\nAnswer: 916485500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 2 - 1)*(-2*d - 2*d + 5*d) + 42*d - 798 + 798 + 2*d - 3*d - d + (-2 + 5 - 1)*(4 - 4 + 2*d) + d + d + 0*d)*(0 + 1 + 4)*(-25*d + 37*d - 24*d).\nAnswer: -2820*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5281 - 0.0719. Which is the third smallest value?  (a) 9  (b) 0.02  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -25920386*g + 11267245?\nAnswer: -25920386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**4 + 2*m**4 - 3*m**4)*(1 - 1 - m) + 3*m**5 + 3*m**2 - 3*m**2.\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - 9. Let l = 32 + c. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-31)*q**(-14\/9))\/(q\/q**11*q)**(-13\/4) assuming q is positive.\nAnswer: q**(-2225\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of -z**8\/8400 - z**7\/840 - z**6\/450 + 23*z**3\/3 - 6. Let m(x) be the third derivative of f(x). Factor m(p).\nAnswer: -p**2*(p + 1)*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18828 and 68513.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -5\/7, 2\/5, 28?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-47)\/470)\/(8\/(-60)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3549968 = -18*i + 3137158. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 5*r - 7 = -9*r, -q + 7 = r. Suppose 9*j - 1560 = -q*j. List the prime factors of j.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 - 334873?\nAnswer: -334880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14\/8507 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-34875)\/36 - 6\/(-8). What are the prime factors of (-60)\/(-20) + (-1 - h)?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7 - -2) + 197 - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 615, 6562, 12509?\nAnswer: 18456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of -n**3\/2 - n**2 + n - 3. Let x(z) be the first derivative of y(z). What is the derivative of x(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + n = -1, -3*n + 12 + 0 = -y. Solve -2*s - 3*i - 7 = y*s, -4*i = 5*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kjxxxljxkljkx. Give prob of picking 2 k, 1 l, and 1 j.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 1. Suppose o = 5*o + 4. Let k(y) = -4. Let a(u) = u - 25. Let v(h) = -2*a(h) + 11*k(h). What is o*v(q) + 6*i(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -246, -1, -3, 0.2, -2\/15, 2\/49?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -15, 2*g - 7*g + 34 = 3*z. Suppose 6 = z*l, l = 4*p - p - 76141. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 563 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.469 take away -0.5?\nAnswer: 19.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -2  (c) 12\/211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + i + 137 = 0, 5*i + 31 = 4*r - 520. What is the remainder when 378 is divided by r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 4*l**3 + 6271530*l**2 - 6271540*l**2 + 112 - 3*l - 3*l**3. Calculate r(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 12:39 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 4\/11, -88, -80?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4  (b) -3\/5  (c) 4\/7  (d) -0.2  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**7*m\/((m\/(m**(2\/9)\/m))\/m)*m**(2\/57)*m**(1\/4) assuming m is positive.\nAnswer: m**(5135\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -10209.\nAnswer: 4\/10209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lb when two letters picked without replacement from ccijpjbpplj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27397507\/26151 + 8\/8717. Let k = s + -1065. What is the common denominator of -59\/9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-20723)\/(-187)*198\/18. What is the highest common divisor of 782 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-2)*10\/20)\/5\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 45 - 66. Suppose -c - 4 = -q. Solve 0 = -2*d - 7 + c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -326*v + 123. Let o be i(5). What is the common denominator of -19\/16 and o\/(-2970) - 14\/(-35)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -590c489?\nAnswer: -590c491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from tdddxddetxxdddxx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/61 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 2\/27, 3\/623, 3, 0.4?\nAnswer: 3\/623","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a2 - -1700?\nAnswer: 19a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9010 and 6.\nAnswer: 27030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4692 + 4882. Calculate the highest common factor of 760 and p.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -185\/177996 and -59\/12.\nAnswer: 177996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 81 = i + 62, -5*y - 5 = 0. Let d(n) = 9*n**3 - n**2 + 2*n - 1. Let v be d(1). Calculate the least common multiple of i and (-20)\/(-3) - 6\/v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/7 in 31, -2\/5, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7735.225 grams?\nAnswer: 7735225000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 91 + -63. Is 1644\/i - (-4)\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.10895 and -42.\nAnswer: -41.89105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3133022 (base 4) to base 10\nAnswer: -14282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 127453317 a multiple of 1120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 529.604226 to one decimal place.\nAnswer: 529.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*u + 36*u = 28 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 10) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2245402?\nAnswer: 2, 1122701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-42604750)\/(-579)*(-750*4 - 0). Round k to the nearest 1000000.\nAnswer: -221000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 402553462.\nAnswer: 2, 10463, 19237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b + 4*b**2 - b)*(4*b**3 - b**3 - 5*b**3).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(-3)*2*45\/60*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - r + 52 = 0, -5*c - 4*r = -7*r - 82. Suppose 3 = -0*v - 3*v. Let t(l) = -6*l. Calculate the remainder when c is divided by t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 6 + 1 - p)*(6 - 9 + 4).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.11033 - -0.08967. What is the fifth smallest value in -3\/7, b, 3, 0, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*z + 126*z - 243*z = 2*c + 2*c + 7, -4*c - 4 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33261 is divided by 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-1*(sqrt(70) - (sqrt(70) + (1*sqrt(70)*-6 - sqrt(70)))))\/(-4*sqrt(160)\/sqrt(4)*5).\nAnswer: 7*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 2) + -27 + -2. Let t be 76\/d - 4\/14. Sort 7, t, -2 in ascending order.\nAnswer: t, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 8*q - 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00182341582 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 271 + -270.7. Let p = 107\/3 + -36. Let u = -108 + 1618\/15. Which is the closest to p?  (a) u  (b) h  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/(-2552))\/(43\/(-172))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 57*(-1296)\/1701*(-1)\/(-8)?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 203*x - 1984 - 6542 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + k - 5*k - 266 = 0, -4*z = 2*k - 218. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 1024*p**2\/3 - 320*p + 75 = 0.\nAnswer: 15\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.113979 to three decimal places.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 11, -2\/9, 1.3, 2\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -8894 (base 12) in base 2?\nAnswer: -11101011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -152\/3 + 2\/3*r**2 + 50*r = 0.\nAnswer: -76, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.5 + 1.5. Which is the closest to -0.1?  (a) m  (b) 2\/69  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*i + 26*i - 7*i**2 + 2*i**2 + 3*i**2.\nAnswer: -2*i**2 + 65*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.9 + -0.1. Let n = -14 - -13.4. Let v = n + -4.4. Which is the second biggest value?  (a) v  (b) 5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -1147?\nAnswer: -458.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6 + 7)\/((-1)\/4*-2). What is the tens digit of 9751\/21 + u\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6408536 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -5\/4, -1, -80, 67, -7 in descending order.\nAnswer: 67, -1, -5\/4, -7, -13, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*c - 29 + c**2 - c + 5*c - 2*c to the form k + w*c**2 + z*c and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-92)\/(-8))\/23)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4155, -8321, -12493, -16671, -20855, -25045?\nAnswer: -29241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15\/(-45) + (-28)\/(-3). Suppose 4*v - w = v. Is ((-6)\/(-4))\/v*22 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4*r - 2*c = -19, -18 = 4*r - 3*c. Let s(i) = 3*i + 15. Let d(b) = b + 8. Let l(y) = r*s(y) + 5*d(y). Let v be l(-2). Solve v*h + 3 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g. Let h(n) = -16*n. Determine -4*h(i) - 20*p(i).\nAnswer: 104*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/2 of a millennium in decades?\nAnswer: 650","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - 44\/15)*-118. Let i = 8 + k. Let z = -2 + 1.6. Which is the smallest value?  (a) 1\/2  (b) i  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 11\/4 + -4 + 3. Which is the third smallest value?  (a) k  (b) 3\/2  (c) 5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 8*a - 2. Determine m(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7 and 14478926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 98218 = -c - 98204, -5*c = -2*a - 64 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 p when four letters picked without replacement from pdpdlpld.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*i = 308*i - 267 - 85 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7.25 in -104, 4, 3\/5, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 + t + 23. Let j be h(-10). Let x = -47 + j. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*d - 91 = 3*d. Let q(t) = 24*t**3 - 2*t**2 - 7*t + 10. Is q(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -6.09. Let c = x + 1.09. Let u = 3 - 2.8. What is the second smallest value in u, -2, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.3 - 0.7. What is the third biggest value in 0.04, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 153780\/440 - (-280)\/16. Let q be (-3)\/(-20) - (-4)\/(-10). Which is the third smallest value?  (a) -1  (b) i  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -12, 4*i + 3*w + 2*w = 9. Suppose v = 3*v - i. Suppose -2*g = 2*r - 10, 0 = -2*g - v*g - 3*r + 15. What is the nearest to g in -1, 2\/9, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 85403.75ml?\nAnswer: 85.40375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**33*(c*c**34\/c)\/c)\/(c**(4\/19)*c*c**(-1\/8)) assuming c is positive.\nAnswer: c**(9867\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3465 divided by 7?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 + -11. Suppose -h + 0 = -4*q. Is q not equal to 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -477, -973, -1455, -1917, -2353, -2757, -3123, -3445?\n\"Answer: k**3 + k**2 - 506*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*r + 44*r - 5*w = 80*r + 20, -4*r + 12 = -3*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1408 and 6486898.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 - 17*l**2 + 31*l - 20. Let i be s(15). Let a(r) = 2*r**2 - 4*r**2 - 2*r + r. Let p(w) = 4*w**2 + 2*w - 1. What is i*a(v) - 2*p(v)?\nAnswer: 2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of k**5\/30 - 7*k**4\/12 + 13*k**2. What is the second derivative of n(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, k: 13, c: 1}. What is prob of sequence ppk?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5387\/2 - -2688. Which is the nearest to 0?  (a) -1  (b) h  (c) -0.3  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g. Let o(k) = 36*k**3 + k - 1. Give o(q) + w(q).\nAnswer: 36*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 102504 divided by 545.\nAnswer: 102504\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -597*s**3 + 359*s**3 - 384*s**3.\nAnswer: -622*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 109404 and 43200?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is the fourth smallest value in 2\/7, 1\/71, -1158, 1\/2, 12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -100100 (base 2) in base 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1011 - 0 - -4 - (3 - 1). Let c = -542 - h. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/24 and -32\/25323.\nAnswer: 202584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-1710)\/(-1368))\/((-1)\/2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -4*u + 4. Let t be (6\/(-21))\/(2\/(-21)). Which is the nearest to u?  (a) 4\/7  (b) t  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-16) - ((-2)\/(-104))\/(148365\/4635 + -32)?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 795720 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7*(2 - 1) - 2. Suppose 0 = -t - 4*j + 43, 4*j = j + 3. Suppose -m*v + t = -91. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**2 + 22*i - 10. Let n be q(-12). What is the lowest common multiple of 198 and (-11)\/((-539)\/n)*7?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 7*b - 7*b + 112*b**3.\nAnswer: 112*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 138619181869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 456, -5, 2 in ascending order.\nAnswer: -5, -1, 2, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 586 - 311. Calculate the greatest common divisor of h and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 734 - 3574. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24564?\nAnswer: 2, 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2486.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 432 = -13*p. What is the first derivative of 16 - 66 - 103*q**2 - 16 + p wrt q?\nAnswer: -206*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 - -1 - (-1 - 277\/1). Let l = 301 - q. Calculate the lowest common multiple of l and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x**3 - 2844*x**2 - 83295*x - 619650 = 0. What is x?\nAnswer: -918, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of 0*h**4 + 0*h + 1\/5*h**5 + 0*h**3 + 4 + 2*h**2. Find the second derivative of r(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30428013975 + 56.\nAnswer: 30428014031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 1247055?\nAnswer: 13717605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) -10  (c) -5  (d) -27  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 z, 1 y, and 1 i when four letters picked without replacement from {i: 7, n: 1, y: 1, m: 2, z: 2, t: 4}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2378742 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 3*b**3 + 13*b**2 - 45*b - 14. What are the prime factors of c(11)?\nAnswer: 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of -2 - 1\/6*i**3 + 1\/2*i**2 + 1\/12*i**4 - 3*i. Let a(z) be the first derivative of s(z). Determine a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8 + -7 - (106 + -1). Let v be -2 - -2 - p\/(-2). Let c be (-6)\/5*(v\/(-8) + -8). Is 1 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 3*z**5 + 3300*z**4 + 987984*z**3 + 101712666*z**2 + 2369114781*z - 2471818734 = 0.\nAnswer: -693, -187, -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 16 = -5*u, 7*u - 10*u - n + 12 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 46075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 257.604km?\nAnswer: 257604000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-12)\/10)\/(-3) + 132\/(-30). Let f be (-408 - -4)*11\/t. Suppose 4476 = 4*j + 4*g, j + 2*g - 3*g = f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30 - 27) + (2 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q. Let a(z) = 6*z**2 + 4*z**2 - 4*z**2. Give r(a(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3358, 4548, 5732, 6910, 8082?\nAnswer: 9248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 271*t + 154*t - 6699 = -242*t + 58*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.89 rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 27385, 58769, 90151, 121531, 152909, 184285?\n\"Answer: -z**2 + 31387*z - 4001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -h**3 - 4*h**3 - 18*h**2 + 4*h**3 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8818.2122 - 20.3\nAnswer: -8838.5122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7\/25  (b) -0.2  (c) -91  (d) 2\/3  (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2b6 - -4?\nAnswer: 2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 6*a**3 - 1365*a**2 - 2061*a + 14. Give p(229).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - 101?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -53 times 72\nAnswer: -3816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and 156144.\nAnswer: 156144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = 2*f + 5, j - 1 = -0*j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 5*n + 42. Let c be m(-8). Solve -4*z - 8 = 0, 3*u = -z - c*z - 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -467933 and -467894 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36564.\nAnswer: 2, 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -51\/8 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 9 = -3*u, -4*q + 0*q = -22 + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 59 - 49. What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 688, 2741, 6162, 10951, 17108, 24633, 33526?\n\"Answer: 684*n**2 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/((-8)\/(-122)) + (-2)\/8. Let a be (-3)\/c - (-1280)\/25. Suppose 2*x - a = 59. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + ((-10)\/(-20) - (-135)\/18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 2 - 3 = -5*d, 5*d = 2*v - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from flokykv. Give prob of picking 1 o and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 2 + 6 = 0. Let z be ((-10)\/15)\/(s\/3). Suppose 0 = -4*j - 3*v + 8 + z, 0 = -3*j + 5*v - 15. Sort j, 4, -4.\nAnswer: -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 254 = 5*f + c, 7*c - 4*c = 4*f - 188. Let w = 1101 + -1076. Calculate the highest common divisor of f and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 13*w - 4. Let k(l) = -7 - 11*l + 5 - 1 - 4 + 36*l. Give 3*k(m) - 5*n(m).\nAnswer: 10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-578)\/(-51) - 11)\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3955 and -2.3.\nAnswer: 0.90965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -43, 2, 46 in decreasing order.\nAnswer: 46, 2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 5 + -2 + 1 + (19 - -5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1492*b + 1496*b - 3*o = -21, 5*o - 24 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -200, -274, -398, -572, -796, -1070, -1394?\n\"Answer: -25*d**2 + d - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1903 - 500 - 1166 - 555 + 147)*(6*a - 3*a - 4*a).\nAnswer: 3977*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of -j**4\/6 + j**3\/2 + 8*j**2. Differentiate q(a) with respect to a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 + -19. Let x(s) = 56*s**2 + 10. Let g be x(6). Is g\/14 + o\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151 is divided by 80.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18874, -19264, -19654?\nAnswer: -20044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (32 - 84) + 10?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-205)\/40 + 3 + 2\/16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 354*s - 12 + 12.\nAnswer: 354*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, j: 6, t: 1, z: 2}. What is prob of sequence zft?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccpw when four letters picked without replacement from bbcbbwbcbbbbcbbpwwpb.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 516 and 774?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s**3 + 0*s**3 - 3*s**3 - 9*s**3 + 3*s**3 + 5*s**3 + (-4*s**3 + s**3 + s**3)*(-2 + 5 - 1))*(-236 + 323 - 2355 - 2078 + 36).\nAnswer: 12930*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 126150*k**3 - 1327330*k**2 - 37707658*k\/3 - 67499554\/3 = 0.\nAnswer: -1409\/435, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -140 divided by -28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggcv when four letters picked without replacement from {c: 4, v: 2, j: 2, g: 5, a: 1, k: 1}?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-15)*(-5)\/(-15)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.45, -2, 0.3 in decreasing order.\nAnswer: 0.45, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -7816325*i. Let v(r) = 2*r. Determine v(x(t)).\nAnswer: -15632650*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 25, 0*j - 5*f = -2*j + 31. What is the third biggest value in j, -3\/2, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9473074 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, l: 3}. What is prob of sequence el?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 4*z - 6. Let f(r) = -r**2 + 11*r + 5. Let b be f(11). Let u be c(b). Calculate the greatest common divisor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/5)\/(320\/7559800) - 2\/(-8) a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -4*d + 57. Let c(b) = -8*b + 110. Let k(z) = 6*c(z) - 11*f(z). Calculate k(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13346*a**4*g + 180*a**3*g + 3*a**2*g + 100*a*g + 2*a - 232*g - 82 wrt a?\nAnswer: 160152*a**2*g + 1080*a*g + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (63 - 71) + (-1)\/(0 - 1\/1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1)\/(-9)*(-85)\/17 and 71*(-1)\/(-10) + 0.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 40340 + -28017. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-21)*(-7)\/6. Let c be 3\/(-9)*3\/2. Let x = 0.296 - -0.004. Sort c, a, x.\nAnswer: c, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2411 + -2408. Which is the nearest to 0?  (a) -1\/5  (b) -0.5  (c) n  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 5*c - 5*g + 20, -5*c + g = 4. Suppose j - 3*u = u + 125, 4*j + u - 449 = c. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1520.417 - -1519. What is g rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -24762a?\nAnswer: -247630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - r = 4*r + 25, 0 = -2*z - r + 7. Solve 4*f = -4*w + 20, w = -z*f - w + 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9 is divided by 154\/33 + (-1)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(-9)*(-51)\/2*-1. Suppose 7*z + n = -15. Let a = z + 52. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -8*l - 64. Calculate r(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 3, -17\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23.26 - 59.26. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 80717 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2180 bigger than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2280 and 2969240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14 and 992?\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 2 = 5*n, 3*n + 8 = -l + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6723\/1485 + 9\/33. Let u = -43\/10 + l. Factor 0 + 0*y - 1\/2*y**5 + u*y**4 + y**3 + 0*y**2.\nAnswer: -y**3*(y - 2)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**5 + 1888*z**4 + 64048*z**3 + 423148*z**2 + 849490*z + 488500 = 0. Calculate z.\nAnswer: -25, -5, -2, -1, 977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -787 + 1461. Suppose 20*q - v = 18*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -52 + 54. Let x(z) = -26*z**3 + 11*z**2 - 11*z. Let g(w) = 5*w**3 - 2*w**2 + 2*w. Determine a*x(r) + 11*g(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w + 35. Let d be t(-17). Let -41*k**2 + 38*k + 16*k + 45*k**2 - d*k = 0. Calculate k.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*x**3 - 23*x + 23*x + (1 - x - 1)*(-81*x + 81*x - 73*x**2))*(2*x - 3*x + 3*x).\nAnswer: 186*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y + 2*y + y)*(0 - 1 + 0 + (-4 + 4 - 1)*(0 + 2 - 3) + 3 - 1 - 3).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 100167 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.73 - 7.58. Let n = 0.85 + f. Let y = 0.44 - -0.06. Put n, -0.1, y in descending order.\nAnswer: y, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -93465950 divided by -18693190.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/14 - 4488\/(-6160). Let p = 1 + -1. Suppose -3*z - z = p. Is z less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29 + 31. Let g be (-4)\/6*(-45)\/6. Suppose o = 3*j - 32, p*j + g*o + 2 = -5. What is the lowest common multiple of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 7*b**2 - 3. Let g be y(-7). Let m(v) = -8*v - 1. Let u be m(g). Suppose 0 = 4*h - u + 3. What is the lowest common multiple of 3 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 303191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -7. Suppose 2*n + 3*l - 14 = b, 2*l - 2 = 2. Suppose s - 3 = 0, -n*q - 31 = -8*s + 3*s. Let r(i) = -i**3 - 4*i**2 - 2*i - 4. What is r(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 475 is divided by 328?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = 6*l - 210. Suppose -6*u = -20*u + l. Solve k + 0*k = -2*b + 6, u*k = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 95 = 3*v, 3*u + 4*v = 32 + 228. Calculate the highest common factor of u and 2840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 168 and 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3458 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 35 = -5*u, -19 - 4 = h - 5*u. Find the third derivative of 151*t**3 - 300*t**3 + 19*t**h + 146*t**3 + 4*t**5 wrt t.\nAnswer: 240*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1022*n - 1020*n - 18 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 4*h**2 + 3*h + 1. Suppose 7*x = 4*x - 24. Let l be -2 + 2*(-44)\/x. Suppose -4*z + 21 - l = 0. What is n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3227.486 litres in millilitres?\nAnswer: 3227486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 155.5 + -155.1. Let z = -1.7 + 1.2. What is the nearest to 0.3 in s, -1, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/16)\/((-73)\/(28616\/21))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -3*g**5 - 589*g**4 - 1903*g**3 + 5221*g**2 + 1930*g = 0.\nAnswer: -193, -5, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10788416*k**6 + 44232*k**2 - 100.\nAnswer: -1294609920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -139*t + 114. What is the thousands digit of g(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 AM and 6:08 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -9*r**3\/2 - 2445*r**2\/2 - 1627*r\/2 - 271\/2 = 0.\nAnswer: -271, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o**2 + 34. Determine d(-10).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 3212632, 21 in decreasing order.\nAnswer: 3212632, 21, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25254.\nAnswer: 2, 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 5*q + 1. Let p(c) = -36*c - 6. Let t be (-1)\/5 + (-42)\/(-10). Let k be (t\/6)\/(1\/(-3)). Let f(x) = k*p(x) - 15*g(x). What is f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/8*-5*(-34)\/(-85). Sort 1\/2, 1\/6, -0.21, q in decreasing order.\nAnswer: 1\/2, 1\/6, -0.21, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 128022.\nAnswer: 512088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 30*t**2 + 61*t - 166. Give r(28).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-2)*638\/33. Suppose 4*a = -b - a + x, 18 = 2*b + 2*a. Suppose 2*r = -0*r + b. Calculate the smallest common multiple of 9 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1669.0322 - 44576.3\nAnswer: -42907.2678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/437 and 44\/7011.\nAnswer: 161253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 461571293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/(sqrt(112)*1 + sqrt(112) + sqrt(112)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12268541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 96\/19, 3830, -3\/11?\nAnswer: 96\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -23.3 + 18.6\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32 + 32.05. What is the smallest value in 4, -1\/5, 0, z?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/12)\/((-24)\/(-32)))\/(122555\/1905).\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -765662, -1531183, -2296704, -3062225, -3827746, -4593267?\nAnswer: -5358788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from aanrcabrannnnaaa.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60941*k - 60221 = -59712*k for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4167593.\nAnswer: 19, 401, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*j - 264971 + 265031 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-132)\/(-190) + (-52)\/(-494))*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -180 - -303. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*58 + -1 + 3. Find the common denominator of 93\/4 and 28\/(-2)*q\/(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r - 3. Let g be h(3). Suppose 27 = -g*b - 9. What are the prime factors of ((-8)\/3)\/(2\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -576*w**3 + 1680*w**2 + 143*w + 3.\nAnswer: -(w - 3)*(24*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 747417265 divided by 149483453.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3148 + -548. Round j to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 6 - 19 + t - 11*t + 68. Let l(q) = 11*q - 56. Let f(z) = 7*l(z) + 6*y(z). What is the derivative of f(m) wrt m?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/sqrt(144) + sqrt(45)*-1.\nAnswer: -17*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f + 8. Let a be l(12). Let o = a - -6. Let c = 43 - 33. Calculate the smallest common multiple of o and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2286799*k + 880282 with respect to k.\nAnswer: 2286799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 106\/141 - 4\/47. Suppose 0 = -k - 4*k + 25. Which is the second smallest value?  (a) k  (b) y  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(10*1\/20)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 + 3*w - 16 + 2*w)*(3*w**2 - 3*w**2 - 2*w**2).\nAnswer: -10*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 11 - d**2 + 1 + 6 + 7*d. Let o be f(9). Solve 3*c + 12 = -o*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {o: 3, h: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 39831.98 decades in centuries?\nAnswer: 3983.198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15405 and 187941.\nAnswer: 939705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(1*sqrt(2057)*-3 - (sqrt(2057)*1 + 5)) + ((sqrt(1377) + -1*sqrt(1377))*-3 - ((sqrt(1377) + 0)*-4 + sqrt(1377) + sqrt(1377))))**2.\nAnswer: 620*sqrt(17) + 65373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -122 - -129. Suppose -k*q + 6*q = -266. What is the greatest common factor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -78 + 195. Let b = o + -37. Solve -4*a + 4 = 0, 0*u - 2 = -b*u - 4*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 434342 (base 5) in base 6?\nAnswer: 153152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -s**7\/420 - 89*s**6\/240 - 141*s**5\/40 - 81*s**4\/16 + 63*s**3 + 4*s**2 - 235*s. Solve v(u) = 0 for u.\nAnswer: -84, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 + 19*d**2 + 20*d - 2. What is h(20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 - 6*r - 4. Let i(g) = -9*g - 33. What is the remainder when i(-6) is divided by p(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -6*f + 4 - f + 0 + 5*f. Calculate l(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 >= -1603776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -509399.12 rounded to the nearest one hundred?\nAnswer: -509400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 14, 0.02, 1\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 66852 and 363972.\nAnswer: 3275748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 4*n**2 + n - 1. Let y(j) = 2*j - 10. Let m be y(8). Let k be (-21)\/(-9) - m\/(-9). Does 9 divide t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -4*t + 3*o, -5*t + 4*t + 30 = 5*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163*k - 5*h + 9676 = -162*k, -2*h + 29041 = 3*k. What are the prime factors of k?\nAnswer: 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 25*n. Let m(u) = 2*u**2 - 4809*u - 2. Calculate m(l(k)).\nAnswer: 1250*k**2 - 120225*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 13*a - 2*a**3 - 14*a - 7*a**3 to the form r*a**2 + b*a + m*a**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 5*j + 13, -35*d = -34*d - j - 17. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 2*g = 3, 3*v - 4 = -g + 1. Sort v, -1, -5 in decreasing order.\nAnswer: v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/300 and -5 + 3 - (-2)\/(180\/549).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.5 and 0.08319065304.\nAnswer: 0.58319065304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2860580041.\nAnswer: 11, 1129, 230339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87120557 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of 7*j**2\/2 - 2*j - 1. Let t(u) = -14*u + 4. Suppose 4*c + 28 = 0, g + 2*c + 35 - 16 = 0. Calculate g*k(f) - 3*t(f).\nAnswer: 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + -2.587.\nAnswer: -2.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*k**3 + 2*k + 43*k**2 - 43*k**2)*(-2*k - 12 + 12).\nAnswer: -12*k**4 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170 is divided by 158?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 11. Let i = w - 2. Solve -2*x + 3 + i = 0, 3*q - 4*x + 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 188977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 511666 divided by -2.\nAnswer: -255833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3, 4*x - 6*i + 8 = -2*i. Let y be (74\/(-3))\/((-24)\/(-36)). Let m = -40 - y. Put 4, m, x in increasing order.\nAnswer: x, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 60, 190, 400, 690, 1060?\n\"Answer: 40*x**2 + 10*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/30 of a week in seconds?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(39)\/sqrt(3) - sqrt(13)*-2*2)**2*-5.\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-20)\/(-6))\/((-8)\/(-12)). Suppose -w*v = -7 - 18. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 6, u: 2, w: 8, q: 3}. Give prob of picking 1 w, 1 u, 1 o, and 1 q.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -15, -1616 in decreasing order.\nAnswer: 1, -15, -1616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 24975677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 277348 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: Find the third derivative of -133*w**4 + w**3 + 6*w**2 + 8*w wrt w.\nAnswer: -3192*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*h**3\/6 - 166295*h**2\/6 + 2904160*h\/3 + 32559520 = 0. What is h?\nAnswer: -21, 56, 33224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -7. Let y(v) be the first derivative of -v**3\/3 - 7*v**2\/2 + 6*v - 14. List the prime factors of y(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1156, -1034, -832, -550, -188?\n\"Answer: 40*m**2 + 2*m - 1198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 4*d**3 + 3*d**2 - 2. What is b(-2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s**2 - 4*s**2 - 7*s**2 - 5 + 5*s**2.\nAnswer: -3*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -16.960901 less than or equal to 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58 - -56. List the prime factors of (-4040)\/(-28) + q - (-2)\/(-7).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.05 - 0.58. Let x = -0.03 - g. Let z be (-6)\/(-8)*24\/(-117). What is the second biggest value in 2, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 6 = -0. Suppose -x = o*b + 2*x - 3, 2*x - 2 = 3*b. Suppose -3*k + 256 = 5*u, k - 87 = -b*k - 2*u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0147 and 0.7.\nAnswer: -0.01029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 1533*k**2 - 534*k**2 - 436*k**2 - 440*k**2 as o + v*k**2 + i*k and give v.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 281*p - 1304 = 250*p - 387*p + 2876 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 13, 7, -11, -47, -107, -197, -323?\n\"Answer: -m**3 + m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -53664800 to the nearest one hundred thousand.\nAnswer: -53700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 23889 or 23883?\nAnswer: 23883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 19 + -17 - 2\/(-1). Suppose -2*q - 5*i = 15, 12 = -3*q + q - s*i. Let u(x) = x + 7. What is u(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.649164 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k. Let z(a) = 83*a + 38 - 157 + 121. Give z(s(h)).\nAnswer: 83*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 + 23. What is the biggest value in p, 2\/3, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {y: 2, s: 3, i: 2, v: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78241 is divided by 313.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 5754.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 536 = 2*j, w = -j + 5*w - 254. Is 27 a factor of j*(-1 + 12\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q be 200\/30*108\/10. Calculate the highest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -5*x, 2*n = -2*n - 2*x - 8. Let f(c) = c**2 + 10*c + 9. Let s be f(-8). Let d be (-4)\/2 + 21\/s. Sort n, d, -4 in ascending order.\nAnswer: d, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -639 smaller than -640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -45540 + -1d4?\nAnswer: -45734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5408 divided by 32.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 14930 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -89959*b - 90112. Determine j(-1).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1422940*i + 2014846*i - 881222*i.\nAnswer: 2556564*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57 (base 9) to base 11.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -13, -163, -457, -895, -1477?\n\"Answer: -72*o**2 + 66*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8\/25 - -7\/100. Which is the fourth biggest value?  (a) 0.1  (b) -4  (c) m  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17*r + 22 - 23*r**3 + 58*r**3 + 20*r wrt r?\nAnswer: 210*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -31*n - 3. Let o(c) = c**3 + 4*c**2 + 2*c + 6. Let p = 7 - 11. Let g be o(p). Is i(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - 7 - (22 + -69)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**4\/7 - 1065*l**3\/7 + 279774*l**2\/7 + 2030368*l\/7 - 5171328\/7.\nAnswer: (l - 536)**2*(l - 2)*(l + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(275) + sqrt(275) + sqrt(275)*1 + -4 + (sqrt(275) - (sqrt(275) + -2))*4 - ((sqrt(275) - (sqrt(275) + 0)) + -2)*4))**2.\nAnswer: 210*sqrt(11) + 2524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 8 = -2. Which is the closest to -0.03?  (a) 2\/9  (b) 0.2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 25*p + 74. Let s be d(-3). Let h be -8*(-7)\/(-14)*s. Solve -32 = h*r - 44 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 486 is divided by 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + -4. Let w(m) = -m + 4. Let n(u) = -3*u - 2. Calculate the lowest common multiple of n(-4) and w(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.11 and 398.\nAnswer: 397.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (-35)\/10)\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -599462, -599464, -599466, -599468, -599470?\n\"Answer: -2*b - 599460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 4 + -2 + (-21 - (3 + -9))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 344 = -10401*q + 10391*q, 18*v - 3*q + 174 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 4*j - 5848, -4*l - 5*j = -6*l + 2326. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/7  (b) -3\/2  (c) 2\/61  (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -296e + 5?\nAnswer: -2969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -387*v**2 - 388*v**2 + 1530*v**2 - 388*v**2 - 374*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.00775*-0.024056\nAnswer: 0.000186434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from qqmqqqwqqqwm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 398318 and 1.\nAnswer: 398318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 4*v = 784, -8*v = -6*v + 8. Suppose 0 = 5*g + 4*i - 224, 4*i + 0*i = 3*g - p. What is the greatest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7989.159 years?\nAnswer: 79.89159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -7*n - 55. What is the units digit of w(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b40 - -7?\nAnswer: b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 5*i - 14 = 2*l, -i - 17 = 5*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60)\/105 - (-47)\/3290*33*1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45 divided by 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66714 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4050382213 to the nearest integer?\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 29*m + 195. Let s(a) = -30*a - 197. Let b = 491 - 486. Let n(c) = b*s(c) + 6*l(c). What is the derivative of n(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of 5*i**2\/2 + 3. Let a(v) = -v**2. Determine u(a(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/25 and -7\/13665.\nAnswer: 68325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -4. Let r be 95 + 2 - 0\/s. Suppose 5*b + h - 82 = 0, -b - 4*h - r = -6*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 255002*s + 20. Let x be u(-10). What is x rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 1. Let p(y) be the first derivative of 2*y**2 + 2*y + 85. Calculate p(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-299295)\/(-54) - ((-8 - -11) + (-10)\/4)?\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1849613326 rounded to the nearest 100000?\nAnswer: 1849600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 59 or 3?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 + 3*h**2 + h + 3. Let g be a(-4). Suppose -423 = n + g. Is n\/(-18)*(-6)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**3 - 2*q**3 + 3*q**3)*(4 + 6 - 22).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.604383419 to five decimal places.\nAnswer: 0.60438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w and 1 q when four letters picked without replacement from wwwqqqwwwqwwwwwwwwww?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i - 100 = -15*i. Calculate the greatest common divisor of 60 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*o**3 + 2289 - 2289 - 11*o**2 to the form c*o**3 + y + w*o**2 + n*o and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 184*w - 31*w = 6*w + 78792. Calculate the smallest common multiple of w and 5896.\nAnswer: 5896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5504271515?\nAnswer: 5, 37, 271, 109789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21854*s*u**3 + 11630*s*u**2 wrt u.\nAnswer: 131124*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 15*x + 8. Let l(w) = w - 1. Let p(m) = d(m) + l(m). Let t = -5172 - -5176. Is p(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -457 - 3?\nAnswer: -45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aazz when four letters picked without replacement from zazzza.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -652 + 2?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 1972 = 2*a, 5*h - 2971 = -10*a + 7*a. Suppose -a*y + 1259 = -986*y. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -96) + -2 + (8 - (9 - (4 - 4))).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 318413684 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1714591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-5) + (-69)\/165. What is the second smallest value in -5, m, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5063, -5062, -5061, -5060, -5059?\nAnswer: -5058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 23*p - 17*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 412020115 + 1?\nAnswer: 412020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.2 + 1.8. Let q = 37 + -110\/3. What is the closest to 0 in q, 2, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-3\/2)\/(g\/(g**5\/g*g))*g**5\/(g*g*g**(-1\/2)) assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Do 8\/141615 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -8*f + 186. Let z be t(-22). Let w = z - 361. Solve -y = p + w, -2*p - 2*p - 5*y = 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 511 - 322. What is the greatest common divisor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 + 7*l**2 - l - 7. Let m be y(-7). Suppose -o + 4 - 1 = m. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 436814771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.68699 centuries in decades?\nAnswer: 846.8699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3721 - -6330. What are the prime factors of s?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 124182 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*a = 49*a + 100. Is 12 a factor of a\/(-60) - (-6145)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 660383575*y**4 - 515819204?\nAnswer: 2641534300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2909300 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.152844 minutes to seconds.\nAnswer: 429.17064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + 1 - (-5 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29\/(5214\/(-18298) + -30*11\/(-1155))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5}. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -14, -4, -1.\nAnswer: -14, -4, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 3*i**3 - 39*i**2 + 7*i - 43. Give n(13).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 3*n + n - 109 = 0, -2*n + 92 = 4*a. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 22. Let u = -12.66 - -0.56. Let m = u + r. Which is the biggest value?  (a) -3\/7  (b) 0.4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -22*p**4 - 2*p**3 + 90*p**2 + 200*p + 94. Let v(h) = -47*h**4 - 3*h**3 + 179*h**2 + 400*h + 187. Let x(q) = 13*r(q) - 6*v(q). Factor x(w).\nAnswer: -4*(w - 5)*(w + 1)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3090127.\nAnswer: 3090127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/3  (b) 60  (c) 1  (d) 0.98  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 2 h, and 1 l when four letters picked without replacement from hizblhhh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 149, -2\/5, 1226, -2\/19, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1000113 - -11?\nAnswer: -1000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 285562676*m**4 + 8411654 wrt m?\nAnswer: 1142250704*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -466109 and 53.\nAnswer: -24703777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -734a?\nAnswer: 7351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9469?\nAnswer: 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 8:48 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 6, 2\/17, -0.069, 2\/9?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -1) + 36 + -18 + -26\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11255 + 11255.4. What is the nearest to 27 in -4, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 - -22. Suppose u*m - 116 = 4*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89006 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8868 is divided by 181.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -10*f + 40. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 464 + o + 173 - 5*o + 2*o + 323 to the form z*o + g and give g.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/20*-2*-5. Let y(m) = c + 5 + 0 + 4*m - 4. Let s(k) = k**2 - 9*k - 5. Let i = -98 + 100. What is i*s(p) + 5*y(p)?\nAnswer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-6)*(1 + -1). Suppose l = 3*h - 5*h + 4, -2*h + 22 = 2*j. Calculate the remainder when 1 + -1 + (-26 - -52) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8367*p**4 + 11485*p + 77332538 wrt p.\nAnswer: -33468*p**3 + 11485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 47711312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is u in -2*u**5 - 13260*u**4 + 45922166*u**3 - 32965042144*u**2 + 65792370840*u - 32873237600 = 0?\nAnswer: -9292, 1, 1330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 + 8*i + 7. Let m be j(-6). Let a = 60 + -57. Put 5, m, a in descending order.\nAnswer: 5, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of 2*j**3\/3 + 11*j**2\/2 - 31*j - 154. Is o(7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j**2 - 483*j = 0. What is j?\nAnswer: 0, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 256095 divided by -35\nAnswer: -7317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1550901, -1550885, -1550865, -1550841?\nAnswer: -1550813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k**2 + 4*k - 3. Suppose -18 = -7*v + 3. Let s be ((-4)\/v)\/((-5)\/(-45)*3). Let i(r) = -4*r**2 - 8*r + 7. What is s*i(a) - 9*f(a)?\nAnswer: -2*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0608 - 0.0492. Which is the biggest value?  (a) -1\/5  (b) -3\/4  (c) -8  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 7*g**2 - 3*g + 3. Let y(p) = -p**2 + p - 1. Let r(t) = t - 8. Let q be r(7). What is q*n(x) - 5*y(x)?\nAnswer: -2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 220 = -3*r + 243, -n + r = -27 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29137 is divided by 80.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 112?  (a) -50  (b) 0  (c) 0.5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 1\/6, -2, 86 in decreasing order.\nAnswer: 86, 1\/6, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -u, -5*h + 857*u + 353527 = 860*u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -27*h + 21*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.127 times 233\nAnswer: -29.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 20*m**2 - 17*m**2 + 4*m + m + 1. What are the prime factors of u(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**3\/2 + 3173*k**2 - 12689*k\/2 + 3172 = 0. Calculate k.\nAnswer: 1, 6344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 248658 and 141.\nAnswer: 35060778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, -4, 2, 3\/14, -0.3085, 2\/3, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1790348450 to the power of 1\/2, to the nearest integer?\nAnswer: 42313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 p when three letters picked without replacement from pjjpjjppjj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide ((-33)\/(-5))\/(-2*10\/(-200))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in -29\/5, 1\/2, -1\/9, 4, 92?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 + 4)*(-28)\/16. Let o(v) = -v - 6. Let l be o(b). Let w be 2 + -1 - (-1 + 0). Solve -l - 13 = 4*s + g, 0 = -5*s - w*g - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 156715, 313223, 469729, 626233, 782735, 939235?\n\"Answer: -o**2 + 156511*o + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -2*c - i, 8*i - 669 = 5*c - 778 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3658.\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 785\/2 + -4280\/11. Suppose 2*c + 5 = -1. Find the common denominator of (783\/26)\/(-9) - c and y.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 20*f - 4 - 1 - 21*f - 1. Calculate the smallest common multiple of h(-9) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(5 + (sqrt(52))**2).\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 4. Suppose 0*q - 3*q + 6 = 3*h, -5*h = -q + 2. Solve q + g = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = -4*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24070 is divided by 8021.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(0 + sqrt(7)) + -1.\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of t**4\/12 + 4*t**3\/3 - t**2 + 72*t + 8. Let v = -14 - -8. What is f(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 228315017?\nAnswer: 7, 1229, 26539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 2:36 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 1 - 7\/3*r - 1\/3*r**3 + 5\/3*r**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21 - -23. Calculate the smallest common multiple of 4 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 2*j = -22, 4*w - 33 = 2*w - 5*j. Suppose -2*d + 0*d = -w. Suppose -3*v + v + 4 = 0. Is v not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1188 (base 10) in base 6?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/3)\/(-4*2\/108). Suppose -11214 = -l*d + 24597. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - -7) + 2 + 1 + 19 + 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178340 is divided by 1486?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7815813 litres in millilitres?\nAnswer: 781.5813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5, -1, -9, -19, -31?\n\"Answer: -k**2 - 3*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9*(2\/14)\/(((-9)\/(-117)*-13)\/7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/102 and (-1 - 13\/(-9)) + 519311\/(-1881594).\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wxlh when four letters picked without replacement from {l: 5, w: 2, x: 4, e: 1, h: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2108 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*g**2 + 1 - 1)*(-33 - 6 + 17) + (g - 5*g + 5*g)*(2*g + 1 - 1) as z + s*g + b*g**2 and give b.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of 6*h**5\/5 - h**4\/8 + 5*h**3\/6 + 2*h**2 + 18. Find the second derivative of t(z) wrt z.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35066*b**3\/13 - 463950*b**2 - 259347792*b\/13 + 14792\/13 = 0. Calculate b.\nAnswer: -86, 1\/17533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 55518612 divided by -2?\nAnswer: -27759306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 178654503 a multiple of 1718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5*(5 + 1164\/(-300)). Suppose 5*v = g - 25, -5*v - 20 = -0*v - 2*g. Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -4*p**2 + p + 4. Let k(j) = -8*j**2 + 2*j + 7. Let h(t) = -4*k(t) + 7*y(t). Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 359393182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 5*k - 3. Let d(s) = 10*s - 7. Let a(o) = 4*d(o) - 7*x(o). Suppose 123 = 22*r + 57. Determine a(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22 - (-54 - 0)) + -33.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, e: 3, z: 2, a: 1, x: 2}. Give prob of sequence azw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 11*o**2 - 11*o + 10. Calculate c(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15959722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0478 - -0.0306. Let k = 0.3784 - x. Which is the closest to 0.07?  (a) 2\/3  (b) k  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 55*v - 4666. Calculate q(74).\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, m: 2}. Give prob of sequence kkkm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 2*u + 1. Let q be o(-2). Let p be (-1)\/(q + 46\/16). Sort -1, p, -2 in decreasing order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 58*r - 7. Let i be a(4). Suppose 0 = 2*d + h - i, h + 540 = 5*d - h. Calculate the highest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - 8*n + 4. Suppose -r = 2 - 12. What is the lowest common multiple of 3 and l(r)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/(-4))\/(-20 + 7254\/360). Solve -2 = w, 0 = -6*z + 8*z + 5*w + s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-60)\/(-220)*(-1)\/(-6)*4. Sort j, 2, 3.1.\nAnswer: j, 2, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1199, -2406, -3613, -4820?\nAnswer: -6027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 2*m + 4. Let l be p(-5). Suppose 5*u - 5*k - 9 - 26 = 0, 2*k + 8 = u. Let w = l + u. Sort -1, w, 1 in descending order.\nAnswer: 1, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*v - 12 + 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -165 + 165. Solve 5*t = h, 3*p - 5*t = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 + 5*o**2 + o + 7. Let j be k(-5). Let s be 5*j\/5 - -831998. Suppose -4*x - s + 280000 = 0. What is x rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(1\/8)*p)\/(p\/p**(-9)))**2)**(9\/7) assuming p is positive.\nAnswer: p**(-639\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 836140.\nAnswer: 2, 5, 97, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 387991603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.0875 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-1\/4))**26*r**(1\/6)\/(r*r**(-1)*r))**(-5\/19))**(-4\/3) assuming r is positive.\nAnswer: r**(-440\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*m + 12*m - 8*m)*(0 - 2 + 0) + (-1 + 0 + 6)*(0*m + 0*m + 3*m) to c*m + g and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 + -16. Suppose o - 5*p + 20 = -2*o, -x*o - 10 = -5*p. Let j be (o\/4)\/(5\/(-30)). Solve 5*n = 2*n + j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 2)*(-w + 0*w + 0*w + (4*w + 0*w - 5*w)*(5 + 1 - 5) + 4*w + 30*w + 2*w).\nAnswer: 34*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -5*(1 + -1*((1*sqrt(76)*5 - sqrt(76)) + sqrt(76))\/(sqrt(8)\/sqrt(2)*-4)))**2.\nAnswer: 225*sqrt(19)\/2 + 13171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 54 - 60. Let l(h) = -h**3 - 5*h**2 + 6*h + 4. Let q be l(d). Suppose 2898 = 2*t - 4*y, 1786 = -q*t - 2*y + 7532. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -14591, -14590, -14589, -14588, -14587, -14586?\n\"Answer: b - 14592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 4. Suppose c*j = -j. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -131.54 + -10.66. Round i to the nearest integer.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -3*b**2 + 4*b + 2. Let c(s) = s**2 - s + 1. Let p(t) = c(t) + h(t). Let g be p(6). Let x = -40 - g. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 266383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2426533 (base 8) to base 16\nAnswer: -a2d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15557.\nAnswer: 47, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, t: 3, u: 7, e: 5, r: 2}. What is prob of sequence et?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/15*-3)\/((-1)\/(-10)). Let b(d) = -d**2 - 3*d - 5. What is b(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -6 + 5 + 0*f + f. Let b(s) be the first derivative of -s**4 + s**3\/3 + 2*s**2 - 4*s - 1693. Give -b(p) + 4*c(p).\nAnswer: 4*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*t**2 - 67*t**2 - 2 + 4*t**3 + 35*t**2 + 0*t - 2*t in the form y*t**3 + i + q*t**2 + f*t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/(2925\/(-100))*((-63)\/(-10))\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -116468050 divided by -6910?\nAnswer: 16855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 8 = -w, 0 = 3*f - 4*w - 4. Is ((-2)\/f)\/((-49)\/(-276262)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20267101, 20267102, 20267103?\nAnswer: 20267104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b**3 - 5*b**2 - 5*b - 3. Suppose 3*n + 2 = -7. Is c(n) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -68.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*a + 2146 - 2184 = 0. Factor -38\/13*y + 22\/13*y**a + 18\/13 - 2\/13*y**3.\nAnswer: -2*(y - 9)*(y - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 4:25 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = -16*n + 104, -987*n - 2*m + 3*m + 19 = -982*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**7*j\/(j\/j**(-1))*(((j*j**(-1\/11))\/j)\/j)\/j**0 assuming j is positive.\nAnswer: j**(-89\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 65b2b25 - 0?\nAnswer: 65b2b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m - 4. Let g(l) = l. Let w(y) = -g(y) - q(y). Suppose -2*x = -x - 6. What is the smallest common multiple of w(x) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/3))**43*(s**(2\/9))**(-30))**(-45) assuming s is positive.\nAnswer: s**945","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 2*b + b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1403 + 4?\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 + 6*z**2 + 8*z - 5. Let f(x) = x**3 - 5*x**2 + x + 2. Let h be f(5). Let u be n(h). Which is bigger: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65136107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.0485 times -0.0525\nAnswer: 0.00254625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0)**(-21))**(-11)\/(y**(-1\/4)\/((y*y\/(y**1\/y))\/y))**(-38\/5) assuming y is positive.\nAnswer: y**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -7609*f**2 + 1087*f - 6. Let l(w) = -2536*w**2 + 361*w - 2. Let r(v) = 4*k(v) - 11*l(v). What is the second derivative of r(n) wrt n?\nAnswer: -5080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 288 divide 11953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -r + 3*r**2 - 3*r**2 + 0*r**2 - 2*r**3 to the form z*r**3 + p*r**2 + w*r + o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -4*g - 90. Let w = g - -124. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -48 - -45. Let d be -2 + (-96)\/(-45) + 0. Which is the nearest to d?  (a) -4  (b) -2\/17  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30 + -24. Calculate the highest common factor of j and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 at most 493\/147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -7*n**3\/3 - 5*n**2\/2 - 3*n - 1207. Determine u(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1290.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2456*d + 692 wrt d?\nAnswer: 2456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 406426934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 56 = -4*s, -6*g = -11*g + 3*s + 86. Let d be (5 - 7) + (1 - -119). Let v = d - 71. What is the remainder when v is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*i + r + 2, -5*i - 5*r = -4 + 14 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -4*w - 1. Find the second derivative of 3*h**2 + w*h**2 + 4*h - h**2 - h wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h**3 - 1 + 6360*h - h**3 + 0*h**3.\nAnswer: -h**3 + 6360*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 330 and 188870990.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 3*u + 24 + 6 = 0, 3*u - 52 = -5*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1898)\/(-25) + (-2)\/(-25) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k + 8. Let r be b(5). Suppose o + 3 = -u, -r = u + 2*o + 4. Let j(p) = -10*p**2 + 2*p - 1. What is j(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 13*t**2 + 2175*t - 8226. Determine b(-171).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24541 and 414?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 27*m**2 + 4*m - 6*m**2 - 18*m**2 - 6 + 2*m in the form s + f*m**2 + y*m and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*x - 3884*x**2 + 25*x**3 - 60*x + 3873*x**2.\nAnswer: 25*x**3 - 11*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -4.6567.\nAnswer: 0.93134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/90128 and -97\/1126600?\nAnswer: 2253200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 76209.23 millilitres in litres?\nAnswer: 76.20923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 59549 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4*1\/2 + 7. Let l be 2\/r + (-2)\/((-50)\/(-45)). Let k be 2\/(-1 - 2\/2). Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 - 7. Determine w(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2952 divided by 738?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/14)\/o)**(-37)*(o**(3\/10))**6 assuming o is positive.\nAnswer: o**(2531\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-320)*10)\/(1\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - 6. Suppose 9 = -5*f + 2*j, 0 = 4*j - 2 + 14. Let a = f + s. Calculate the smallest common multiple of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49413 and 3157?\nAnswer: 22285263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -24 and 27?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - 23*c**2 + 59*c + 10. What is u(20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 h when three letters picked without replacement from {i: 4, w: 1, o: 2, h: 1, c: 4, p: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of -635*b**6\/6 + 173*b**3\/3 + 3*b + 2985. Find the third derivative of v(o) wrt o.\nAnswer: -38100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**1)\/((o\/((o**0*o)\/o))\/o)*o**(-1\/3)\/(o\/(o*o\/(o\/o**(-4))*o)) assuming o is positive.\nAnswer: o**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (3 + 1 - 2)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -27 + 13 + 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/3, 7, 20, 2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 707 - -9*(-8)\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 65 and 117?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*j*n*z + 3*j*n + 772*j*z + 2*j + 29 wrt z?\nAnswer: 2*j*n + 772*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 39\/9 - 3\/9. Suppose -7 - l = -w. Suppose 5*k = w + 39. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*j - 4. Let b(p) = -p**2 + 4*p + 3. Let n be b(j). Solve -2*v = n*v + m + 25, 5*m = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x**2\/3 - 5260*x - 15726059\/3 = 0. What is x?\nAnswer: -14711, -1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 516.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -153*f**2 - 27*f - 47. Let m(z) = 77*z**2 + 13*z + 24. Let c(r) = -11*m(r) - 6*x(r). Is 12 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(540)\/(sqrt(9)*-3))\/((sqrt(96) - -2*sqrt(96))\/sqrt(8)).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -87, -195, -325, -483, -675, -907, -1185?\nAnswer: -1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 6*t - 746. Calculate o(41).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from ymyiiymymyyyieyiyy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - -6. Which is smaller: 9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.349053m in centimeters?\nAnswer: 734.9053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + sqrt(931) + 1 - sqrt(931))*4 - ((-1*sqrt(19)*-4 - sqrt(19)) + sqrt(228)\/(sqrt(12)*-4)))**2.\nAnswer: -110*sqrt(19) + 8699\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5766 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2483*o**5 - o**4 + 3*o**3 + 1174*o**2 + 10*o + 2 wrt o.\nAnswer: 148980*o**2 - 24*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54989 is divided by 4962?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and 0.02157.\nAnswer: 0.42157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95*z + 91*z = -14384. What are the prime factors of z?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/9645 and -11\/20.\nAnswer: 38580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*f**3 + 10*f**3 - 31*f**3.\nAnswer: -45*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 3*v - 123, 0 = 4*a + v - 33 - 62. Let z be 2\/(-8) - -389*231054\/a. What is z rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2278196?\nAnswer: 2, 23, 24763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-8)\/(-15))*344\/129?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-10)\/4 + 2)*-1262 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3964307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of 0 + 0*b**5 + 0*b - 1\/6*b**3 + 0*b**4 - b**2 - 3\/40*b**6. Calculate the remainder when 15 is divided by x(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 5 = q, -5 = -j - 6*q + 8*q. Differentiate -6 + 9*n**j + 3 + 8*n**3 with respect to n.\nAnswer: 51*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1192907 (base 10) to base 5.\nAnswer: 301133112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 AM and 10:09 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p + 6. Let q be c(-3). Let z = 19 - q. Suppose w - 2 = 3*d - 4, z = -w + 5*d. Solve 3*g + 17 = -t, 3*g + 15 = -5*t - w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 13*c**3 + 7*c**2 - 4*c + 9. Let p be 4\/2*(-8)\/(-4). Let q(u) = -u**2 - 2*u**3 + 4*u - 2*u**2 - 2*u - 4 - p*u**3. Determine -4*f(g) - 9*q(g).\nAnswer: 2*g**3 - g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 6:25 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -409362 at most as big as -409362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40498, -44103, -50110, -58519, -69330, -82543?\nAnswer: -98158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 743, 6077, 20525, 48635, 94955, 164033, 260417?\nAnswer: 388655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1125 * 40.3417.\nAnswer: -45384.4125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-16) + (-1275)\/4. Let t be 12\/(-24) + i\/(-2). Suppose -3*b = 5*h - 395, h - b = 3*h - t. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1602 + 1694. What is the highest common factor of f and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 8181.154cm?\nAnswer: 81811540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113134012 (base 5) to base 10.\nAnswer: 521132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 13*a - 2, 2*a + 25 - 72 = -3*q. What is the remainder when 438 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 AM and 7:47 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-8) + 2581\/116. Suppose -32*c = -42 - b. Solve 20 = c*r + 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4033232432 (base 5) in base 2?\nAnswer: 11110111010000101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4232 + 4226. Are 230 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5756*4\nAnswer: -23024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8853*d**2*r + 20*d**2 - 34*d + 2 wrt r.\nAnswer: 8853*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10eb (base 16) in base 3?\nAnswer: -12221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -41. Let p = 76 - g. Let w = p - 25. 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: List the prime factors of 297231686.\nAnswer: 2, 313, 474811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1074846 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 237 divide 76595022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -3*u**5\/2 + 333*u**4\/4 + 867*u**3\/4 + 45*u**2 - 87*u = 0.\nAnswer: -2, -1, 0, 1\/2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68)\/(sqrt(8)\/sqrt(4)) - (sqrt(2176)*1 - sqrt(34)))*-2)\/(((-1*sqrt(100))\/sqrt(5))\/(sqrt(10) + sqrt(110)\/(1*sqrt(11)))).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 12 = -4. Let w(s) = 16*s - 11. Suppose 0*a = 2*a - 3*d, -5*a = -2*d + 11. Let c = 14 + a. Let y(v) = 3*v - 2. Give c*y(t) + m*w(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 73 by 1.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10014506 (base 7) to base 11.\nAnswer: -515844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32 + 200. Suppose -646 = -22*f + o. What is the remainder when 133 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 2*g = 4, -19*v = -13*v + 5*g + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 - 13*h - 4. Suppose l = w - 2*l - 2, 3*l = 0. Let b be 11*(1 - 4\/w). What are the prime factors of u(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -68.7 + 68.6. Is d at least as big as -255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -435\/126287, -3, -2\/7 in increasing order.\nAnswer: -3, -2\/7, -435\/126287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**2 - 285623*q + 285622 = 0.\nAnswer: 1, 285622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -122cb74 (base 14) to base 12\nAnswer: -2b04816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.6 - 4.4. Let i = 13 + -13. Which is the smallest value?  (a) i  (b) 0.1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -140*h**6 + 77*h**6 + 13*h**2 + 2*h - 37*h**6 - 239*h**6 - 4*h wrt h.\nAnswer: -40680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -72.3 + 9.3. Let q = -62.7 - s. Which is the second smallest value?  (a) -2\/9  (b) -8  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -6*l**2 - 4. Let b(w) = 257738*w. What is t(b(q))?\nAnswer: -398573259864*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/6 - 16\/(-6). Solve 5*w = -5*j - u - 19, 19 = -j - 4*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -777*n + 25643. Let u be x(33). Let 0*p**3 + 1\/3*p**5 + 2\/3*p**u - 1\/3*p + 0 - 2\/3*p**4 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11025, -44033, -99047, -176067, -275093, -396125, -539163?\n\"Answer: -11003*n**2 + n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 58 + -34. Let h = -7 + 4. What are the prime factors of h - (0 - f - -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2*v. Let g(d) = -3*d**2 + 647*d. What is a(g(c))?\nAnswer: 6*c**2 - 1294*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 18 = 3*k, -k + l + 3*l = -6. Let a be (k - 3)\/(3\/2). What is the highest common factor of a and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y = -36*y - 13*y + 8*y - 2288 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**7\/(o*o*o\/(o**(-13\/5)\/o)) assuming o is positive.\nAnswer: o**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 3*v**2 + v - 6. Determine p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**3 + 30*l**2 + 65*l - 468. Calculate f(16).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4*x + 2*x = 1, 2*j - x + 4 = 0. Let p(m) = -27*m + 9*m + 11*m + 4 + 10*m. What is p(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7822?\nAnswer: 2, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-9) - (-2928)\/432.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 519514069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h + 15. Let g be s(13). Is (2 + 0)\/g - -58 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2003?  (a) -741  (b) -3  (c) 2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -20 + 1a730?\nAnswer: 1a710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 44*a**2 - 5*a - 4. Let s(g) = g**2 - g - 1. Let f(l) = n(l) - 5*s(l). Is f(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -31 - -323?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.088, -0.28, -3, -0.5 in ascending order.\nAnswer: -3, -0.5, -0.28, 0.088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 147627894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -4 and -34793946.\nAnswer: -34793950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.04 and 64746.42083.\nAnswer: 64746.38083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 708.1 - 199?\nAnswer: 509.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3377 - -3418. Calculate the remainder when 158 is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -4 + 5*n - 3 - 4*n + 0*n. Give d(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 - 1518. Let j(b) = -24*b. Give j(t(m)).\nAnswer: -48*m**2 + 36432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -7, 0.65, 4\/7, -0.12, -29 in descending order.\nAnswer: 0.65, 4\/7, -0.12, -7, -10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3490508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1859723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 293243976 by -73310994.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 6 + -6 - (-1 + (9 - 17))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3570548 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d\/(d*d**(-23))*d**(-1\/16) assuming d is positive.\nAnswer: d**(383\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-38)\/(-12) - 3*30\/(-108)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -10*n - 2. Let j be l(-2). Let y be ((-3)\/(j\/111657))\/10. Let r = -1856 - y. Calculate the common denominator of -61\/14 and r.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 532456583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*p + 197*p + 110*p in the form z + w*p and give w.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 810529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 110 = -7*a. Calculate the remainder when 4\/a - (-654)\/33 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + 100*d**2 - 531*d - 500. Calculate o(-105).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -6. Suppose s = -4*p + 15, -2*p - s + h + 2 = 0. Let f(l) = -p - 1 + 3 - 7*l + l**2. Calculate f(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1515363 is divided by 334.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of -3*w**5\/20 - w**3\/6 - w**2\/2 - 2*w. Let d be c(-1). Let h = d + 2. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5425)\/8680)\/(125\/120).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 - 8*f. Let y be m(-8). Suppose t = 2*h - 22, y*t - t = 2. Solve 4*r - h = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 3 - p**2 - 2*p + 0)*(3*p + 0*p - 2*p) + 6610*p**2 - 6610*p**2 + 53*p**3)*(0*p + 0*p - 5*p).\nAnswer: -260*p**4 + 10*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 4*b + 6 = 0. Suppose 0*n - b*n + 2 = 0. Let x(j) = 17*j**3 - 2*j**2 - j + 2. Let d be x(n). Calculate the greatest common divisor of 112 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of h**4\/8 + h**2. Let q be (6\/(-15))\/(1\/(-5)). Let g(p) = p**q + 1 - 1. Calculate a(g(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:24 PM and 5:22 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 24\/121 and -107\/474936.\nAnswer: 5224296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - -10. Let d = 15 - g. Let c = 0.1 - 1.1. Is d at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 68, 142, 216?\n\"Answer: 74*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 5. Let a = m - -15. Calculate the remainder when a\/(((-14)\/4)\/(-7)) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5073923 to the power of 1\/2, to the nearest integer?\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 653615.\nAnswer: 5, 61, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 0 = -2*p. Let y be ((-20)\/6)\/(-3 - (-183)\/63). Solve -p*i = -7*i - 5*w - y, 1 = -4*i + 5*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -57 - -55. Let p(z) = -6*z**3 - 2*z**2 + 2*z - 2. Let f be 3\/2*((-2)\/2 + -1). Let v(a) = 7*a**3 + 3*a**2 - 3*a + 3. Calculate f*p(y) + g*v(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 442 a factor of 9724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 3, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1644610 is divided by 1336?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48 + 37 - 72 - (-17 + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(3\/8)\/(q\/q**(-8))*(q**(-6\/7)*q)**(-43))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 60 = -4*a, s - 2*a = 2*s - 50. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18057 or -11?\nAnswer: -18057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vaxaz. What is prob of sequence xa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 76*r**3 - 16*r**2 + 8*r + 70. Let h(y) = 50*y**3 - 10*y**2 + 5*y + 47. What is 8*h(o) - 5*j(o)?\nAnswer: 20*o**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 850*z**4 - 984*z**4 - 1097*z**4 + (4 - 4 + 2)*(-z**4 + 4*z**4 - 2*z**4) + (-z**4 + z**4 - z**4)*(-1 + 1 + 2) + z**4 + 2*z**3 - 2*z**3.\nAnswer: -1230*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26 + 55. Differentiate -12*m**2 + p*m + 14*m**2 - 113 - 128*m wrt m.\nAnswer: 4*m - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 82614\/1960 + 81\/(-540)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 850 and 26180?\nAnswer: 130900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l - 7*l - 84 = 0. Let o(x) = -3 - x + 1 + 3 + 0. Let c(g) = -g**2 - 11*g - 4. Let w(z) = -c(z) + 4*o(z). Determine w(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -129, 3, -2 in descending order.\nAnswer: 3, -2, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -18*j + 42. Let z(h) = -15*h + 40. Let a(w) = 4*k(w) - 5*z(w). Give a(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxmuxmr. Give prob of sequence mx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = 4*o - 20, 3*o + 2196 = 5*v + 2194 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 208020610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/23?  (a) 0  (b) -1.9  (c) -0.1  (d) 961\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.2 + -1.3. Put -2\/9, j, 1\/6 in decreasing order.\nAnswer: 1\/6, j, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4191, 4659, 4979, 5151, 5175, 5051, 4779?\n\"Answer: -74*y**2 + 690*y + 3575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (399\/(-28))\/(-19)*2*(-5)\/45.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 4*(-5 + (-1*sqrt(4455))\/(sqrt(720) - 1*sqrt(720) - sqrt(5))).\nAnswer: -25 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 544 and 5785168.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 9*y - 89. Suppose 41 = 10*n - y. Suppose -40\/13*t**3 + 2\/13*t**4 + 8\/13 - 10\/13*t**2 + 32\/13*t + 8\/13*t**n = 0. What is t?\nAnswer: -2, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k**(-3\/4))*(k\/(k*k**3))\/k*k**(2\/5)\/(k**(-1)*k))**(16\/7) assuming k is positive.\nAnswer: k**(-228\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.16 - -0.16. Let x = 4 + 1. Let s = -3 + x. What is the nearest to -1\/2 in s, -3\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (16\/10)\/((-42)\/(-105)). Solve -15*d - q = -11*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5359, -21327, -47941, -85201?\nAnswer: -133107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 0*z. Let m(q) = -1 + 0*q + 6*q + 41 - 8*q + q. What are the prime factors of m(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8015 (base 9) to base 15.\nAnswer: 1aeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 1 - 2 + 5 - 1 - 5 + (5 - 10 - 6)*(10 + 11 + 19))*(-3*l**3 + 0*l**3 + 6*l**3) as x + v*l + p*l**3 + k*l**2 and give p.\nAnswer: -1335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 55 - 14. Let l = w + -39. Solve l = -k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14989419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4070201 take away 27?\nAnswer: -27.4070201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4*y**2 + 6*y - 1. Determine l(4).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 195\/21*((-66)\/15 - -4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*a + 62 = -1247 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30 + 34. Solve l*c + 4*p + 8 = 6*c, -2*c + 2*p + 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 + 16*a + 5. Let d be r(16). Suppose -4*l = -2*b - b - 47, -3*b - 61 = -d*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-33)\/9)\/((-8957)\/241839).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*s + 126 = 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-83)\/21*-2 - (9 - (-1 - -2))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103*q - 83 + 32 - 13 - 16 - 36.\nAnswer: -103*q - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 74880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mkk when three letters picked without replacement from cmmkkmkk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12290 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 3*y - 20. Suppose -y*f = f. Let l(j) be the third derivative of j**4\/24 - 18*j**2. Determine l(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44951 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 238 and 1530.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50) + -3 + -3*(1 + sqrt(2)).\nAnswer: -6 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 206973 = -5*j, 0 = -33*j + 35*j + 5*f - 82776. List the prime factors of j.\nAnswer: 11, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 126700797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191 is divided by 70?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.4  (b) -4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -10110001001000111000 (base 2) to base 4\nAnswer: -2301020320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 1 = -w, -88*c = -91*c + w - 11. What is the smallest value in -1\/91, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28426585?\nAnswer: 5, 11, 516847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17501 = 40*s - 29*s. List the prime factors of s.\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, 2381, 0, 4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1115 - 2964?\nAnswer: -184e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 - 9 = -2*l. Round l to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - v + 5*v = 32, 25 = 5*v. Suppose 3*n - 59 - 95 = -u, z*n = 5*u - 806. Let d = u - 95. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttllllttnlttttntltl. Give prob of picking 1 t and 1 l.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**6*i**6\/i*(i**2\/i)\/((i\/((i\/(i*i**(-3)\/i*i))\/i))\/i*i)*((i**1)**(-14\/13))**(-21) assuming i is positive.\nAnswer: i**(476\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 + 7*k**2 + 5*k - 6. Suppose f - 4*f = 18. Let l be s(f). Suppose 0*x + 2*x = l. Solve a = -x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 + 53*l**2 - 1264*l - 68474. Give m(-52).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -550682, -2202736, -4956150, -8810918, -13767034, -19824492, -26983286, -35243410?\n\"Answer: h**3 - 550686*h**2 - 3*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**2 + 422 - 422 + (-4 + 2 + 3)*(-s**2 + 0*s**2 + 2*s**2) + 5 - 5 - 8*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -46 + -7cba?\nAnswer: -8033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 172\/3 + -56. Let z = 209 - 617\/3. Let -z*p - m + 14\/3*p**2 = 0. What is p?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1314, 1316, 1318, 1320?\n\"Answer: 2*s + 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccxcpxxcc. What is prob of sequence cpcc?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(297) - sqrt(297)*1)*-4 - -3*sqrt(297)*-1)\/(-2*((1*sqrt(15))\/sqrt(5) + sqrt(3) + (sqrt(3) - sqrt(48)*2))))**2.\nAnswer: 891\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1508*z**4 + 5*z**2 - 197174.\nAnswer: -6032*z**3 + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 k, and 1 z when four letters picked without replacement from {g: 2, f: 3, k: 3, z: 4, p: 6}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**4 + d**2 - d**2)*(1 + 1 - 1)*(d - 4*d + 4*d).\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*q + 4526 = 4687 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.121+179.8\nAnswer: 179.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 301 = 197. Let z be (-1 + 2)\/((-3)\/i). Solve -j**2 + 2 + 14*j - z + 4*j = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1930*1552\nAnswer: -2995360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54784*w - 2244 = 54718*w for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dkkdtdkkttkttdkkttd. Give prob of sequence kk.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 9*q**2 - 10*q - 5. Is j(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 2. Let p(v) be the second derivative of 3*v**5\/20 + v**4\/12 - 2*v**2 - 8*v. What is -2*p(m) + 5*y(m)?\nAnswer: -m**3 - 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 117.5751984241 take away 0.03?\nAnswer: 117.5451984241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2195\/6 - -365. Let q = 418971\/44 + -9520. Find the common denominator of q and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7433334 is divided by 36259.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-13)\/(-2)*1)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*o - 17*o = 145. Suppose h - 20 = -4*j, o*h - 5*j + 23 = -2. Solve 4*n = 2*u - n + 15, -3*u - n - 14 = h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 696, 118, -798, -2052, -3644, -5574?\n\"Answer: -169*g**2 - 71*g + 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -65*c**3 + 3*c**2 - c + 1. Let u be s(-2). Suppose r - 6*r = 5*k - u, -5*r - 221 = -2*k. Calculate the greatest common factor of 27 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.516786 times -0.02?\nAnswer: 0.09033572","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 5 + 2*o)*(o - 2*o - o)*(3 - 3 - 3*o**2) as m*o**3 + r*o + n*o**2 + z*o**4 + f and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 13 = 2*a. Sort 0, a, 5, -4.\nAnswer: -4, 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 391237000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -21cb (base 16) in base 5?\nAnswer: -234101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v + 5. Let a(f) = 2*f + 9. Suppose -26 = -2*s - 2. Suppose 0*k = -4*k + s. Give k*a(d) - 5*i(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, p: 5, u: 2}. Give prob of sequence puup.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -293*k + 390*k - 242 = 218*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 16, 83, 150?\n\"Answer: 67*a - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 41 + -21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -6, -2, 5, 12, 0, -3 in descending order.\nAnswer: 12, 5, 0, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 + 9*j - 2. What is s(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -124178, -124175, -124172, -124169, -124166?\n\"Answer: 3*o - 124181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 142839 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 8066926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a milligram in micrograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -3*q**3 + 1. Let r be j(1). Let s = 0.04 + 0.06. What is the third biggest value in s, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 5) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5501, 5165, 4651, 3959, 3089?\nAnswer: 2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 2*u = 2272, 5*u + 2790 = 4*j - 1757. Calculate the greatest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(450)\/sqrt(10) + (sqrt(5) - 3*sqrt(720)) + ((1*sqrt(280))\/sqrt(8))\/(sqrt(7) - (-1*sqrt(84))\/sqrt(12)).\nAnswer: -63*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -606, -1210, -1814?\nAnswer: -2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w + 2*w + 32*w - 16*w.\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -520*k + 1031*k - 525*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 9 = -r. Let d(i) = i**2 + 1. Let w = 29 - 27. Let j(m) = -5 + 7 - w - 1. What is r*j(p) - 3*d(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + 54 + -56 + 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 1) + (-16 - -15) + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 7.3. Let u = -13.76 - -18.6. Let x = -0.16 - u. Sort x, i, 1\/7 in decreasing order.\nAnswer: 1\/7, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 11 = 6*v. Let q be -3 + (v - (4 + -9)). Let l(n) = -n**3 + 2*n**2 + 3*n + 2. Let g be l(3). Solve -b + q = g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 769835134?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 169779?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*d**4 + 169*d - 169*d)*((4 + 0 - 5)*(4 - 4 - 2*d) + d - 1 + 0 - 1).\nAnswer: -51*d**5 + 34*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.119353 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3\/4 + 555*z**2\/4 + 567*z.\nAnswer: -3*z*(z - 189)*(z + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 560*j**2 - 2235*j - 20 = 0?\nAnswer: -1\/112, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 + 32*k**2 - 58*k - 58. Give n(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x + 3. Determine a(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8465 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i**3 + 18*i**2 - 18*i + 8. Calculate l(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -5*m - 4. Suppose m*i = 148 + 72. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 4)*(8*d**3 + 28*d**3 + 4*d**3)*(4*d**2 - 2*d**2 - 4*d**2).\nAnswer: 80*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 207567 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -0*z. Let w = -1 + 53. Suppose -4*u = -z*u - w. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 2*j + 10 = 0, 0*n - 4*n + 5*j + 16 = 0. Solve -n = 2*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 539524?\nAnswer: 2, 19, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-16)\/21 + (-4)\/(-6). Let i be (-6 + 8)\/(2\/(-4)). Which is the closest to -1\/3?  (a) -0.5  (b) i  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10738 is divided by 87?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 23 + 49 + -190 + 205\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)\/(sqrt(9) - sqrt(81)) - ((sqrt(153) - 3*sqrt(153) - sqrt(153))\/sqrt(9))**2) + (sqrt(136)\/sqrt(8)*-1 - 2*sqrt(17)*4)**2.\nAnswer: -sqrt(17)\/2 + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -9.1 less than or equal to 10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 4 - (-2 + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 257 - 174. Suppose g = 5*c - 62. What is the tens digit of c - 4\/(3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 + 1 - 1)*(-3*p + p + 3*p) + 3*p**3 + p**3 + 2*p**3 - 2*p**2.\nAnswer: 8*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of -i**5\/60 - i**4\/3 + 3*i**3\/2 - 119*i**2. Solve h(u) = 0 for u.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-1) + -4 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - ((-66)\/(-8) - (-13)\/(-52)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 97 - 100. Let f(k) = -6*k - 2. Let a(i) = -i. Let l(b) = x*a(b) + f(b). Let u(z) = -25*z - 17. Calculate 51*l(s) - 6*u(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.2 >= 2.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ghhglflom. Give prob of sequence om.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -349 and -1.2.\nAnswer: 418.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 52 + -38. Calculate the smallest common multiple of o and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 93 and 393483.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of -14*c**5\/5 + c**4\/12 + c**3\/3 + c**2\/2 - c. List the prime factors of g(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 2*b - 120. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -4*t - 2 + 0 - t + 4*t. Let u be q(-6). Suppose -5*y + 50 = 2*k - 87, 0 = -5*y + u*k + 161. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120111 - -12?\nAnswer: -120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ps when two letters picked without replacement from sssepepss?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5410227616.000000254 + 5410227623. Let h = c - 7. What is h rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 51627782 + 4?\nAnswer: 51627786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) + 0)*-2*1*5 - 1*(sqrt(75)*-2 + sqrt(36)\/(-4*sqrt(12))))**2.\nAnswer: 75843\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000088 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 - b + 220. Let c be w(0). Calculate the greatest common divisor of 40 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 807, 805, 803, 801, 799, 797?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in seventy-three fifths of a microgram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrrrrhrrrrrrrrhrr. What is prob of sequence rrrh?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8683922, 8683920, 8683916, 8683910, 8683902?\nAnswer: 8683892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16007?\nAnswer: 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (498\/21)\/2*(-28)\/(-1240)*-31*-10.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 87699  (c) 1\/2  (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5254772914.\nAnswer: 2, 29, 733, 123601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + (-500 + 497 - (21 + -1)) - 104.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2))**(-26)\/(n**(2\/7))**(-6\/29) assuming n is positive.\nAnswer: n**(10568\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = 99 + 15. Calculate the highest common divisor of b and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4838.\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from lnnnlnnnln?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 6 - 16)*(3*g + g - 2*g + (4 + 3 - 6)*(g + 0 + 0) + 3*g - 4*g + 2*g + 5*g - 3*g - 4*g).\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + s - 16 = 0, -s + 32 = -33*f + 35*f. Solve 0 = 3*v + p - 5*p + 19, -4*p - f = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 + 4*s - 3. Let a be h(6). Let t(k) = -17 + a*k + 28*k + 26*k. Let u be t(7). What is u rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-70)\/(-84))\/(-5)*(-4)\/(-6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 475 by 78.\nAnswer: 475\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -73898943 + 73898973.999991. Let u = 62 + -93. Let x = u + h. What is x rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(42)\/(sqrt(18)\/sqrt(3)) - ((5 + 0 + sqrt(7))**2 - sqrt(7))).\nAnswer: -32 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 16113*m + 112. Is w(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o + 6. Let f be m(-3). Suppose -108 = 3*k + s, f = 2*k - 6*s + s + 55. What is the common denominator of k\/(-28)*(-37)\/5 and 89\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112\/273 - (-2)\/(-26)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48*9\/(-342)*((-259)\/148)\/((-14)\/4)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 2*r - 15 = -3*r, -5*a = -6*r + 9*r - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -1.556\nAnswer: -4.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.0341 + -3.0341. What is the nearest to 0.1 in 23, -4, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2413403 (base 5) in base 10?\nAnswer: 44853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.03  (b) 1\/6  (c) 90  (d) 0  (e) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -439 - -452. Suppose u*w - 6678 = 4*w. List the prime factors of w.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/24035 and 29\/66519.\nAnswer: 84146535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -108 + 108.13. Let d = -2.26 - 1.87. Let v = d + l. Which is the third smallest value?  (a) 0.1  (b) -3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0339 and 0.134?\nAnswer: 0.0045426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g - 8. Let w(y) = -y - 3. Let v(f) = -3*i(f) + 8*w(f). Let z(x) be the second derivative of -x**4\/12 - 15*x. What is v(z(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 4*r - 32. Let g be r\/3 + -1 - 1. Let p be (-2)\/(-30) - (-3)\/9. Which is the closest to 1?  (a) 0.5  (b) g  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -420 - -195. Suppose 3*b = 2*b - 125. Let r = t - b. What is r rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5053?\nAnswer: 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 + 379 = -278*i. Put i, -4, 194 in ascending order.\nAnswer: -4, i, 194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 64997187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((-318)\/(-22048)*72\/27)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -18. Let k = -9 - j. Solve k = -v + 4*z + 10 - 0, 0 = v - 5*z - 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-115)\/(-138)*(-2)\/(-5))\/((-28)\/840))\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m - 2. Let j(s) = -2*s**2 + 52*s + 18. Let y(l) = -j(l) + 12*x(l). Factor y(n).\nAnswer: 2*(n - 21)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6732*m - 6737*m + 19*d - 17*d + 110 - 30 = 0, 3*d = -3*m + 27 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*q + q - 8*q**2 + 4*q)*(-4*q - 4*q + q)*(6*q - 9*q + 5*q).\nAnswer: 112*q**4 + 28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 73*l**2 + 2*l + 71. Calculate b(-73).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4\/15, -0.3, 3\/4, 1, 3?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2592, -10349, -23270, -41355, -64604?\n\"Answer: -2582*j**2 - 11*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -23346 divided by 1249?\nAnswer: -23346\/1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2412754, 4825507, 7238260, 9651013, 12063766, 14476519?\n\"Answer: 2412753*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 + 0. Let l = 26 + -25.679. Let v = 0.021 - l. Which is the nearest to -0.1?  (a) p  (b) 1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -15 - 5. Suppose -21 = 2*v - 5*v - 3*k, 0 = d*v - 5*k - 10. Does 8 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 406 divide 559741357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**26*r*r\/r**(-2\/51)*r)**(-5\/6) assuming r is positive.\nAnswer: r**(-3830\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23228 and 276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-10) - 294\/210.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1590, 1594, 1600, 1608?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 668*s - 321222 = 646*s. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1276\/217 > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 1, 4, -2\/15, -0.072 in decreasing order.\nAnswer: 4, 1, 0.5, -0.072, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.039 or 3221?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f**3 + 2*f**2 + 3*f - 7. Give z(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 5*i = 3*s + 38, 70 = -5*s - 3*i. Let p = -7 - s. Suppose -p*c + 4 = -3*c. Solve -5*r = -4*u - u, 5*r + 4 = c*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13077512 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20*r**4 - 3*r**3 + 101278*r**2 - 56972626*r?\nAnswer: 240*r**2 - 18*r + 202556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = p - 58, -4*p - 5*k - 31 + 280 = 0. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = -5*v - 2 - 21, 3*v = -15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 434710820 is divided by 3913?\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of -a**5\/20 + 5*a**4\/12 - 2*a**3\/3 + a**2\/2 - 6*a. Let j be x(4). Is 1\/17 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1013 (base 7) to base 12.\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(165\/44))\/((6\/30)\/1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -178*b + 187*b = 10557. What is the remainder when b is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102 - 12012211020?\nAnswer: -12012210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**2 + h**2 - h**2 + (-2*h - h + h)*(2*h + 4*h - 4*h) - 6*h**2 - h**2 + 2*h + 5*h**2.\nAnswer: -7*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-2) + 3 + -2. Suppose 11 = -3*t - 25. Let k be 4\/10 - t\/(-5). Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 10 = -2*x. Let i = 7 - x. Let t(l) = -3 - i + 1 + 2*l - l. Give t(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4 - 6*c + 4*c**3 + 3*c**3 - 5*c**3.\nAnswer: 2*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115458 is divided by 115241?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -3*w**2 - 70*w + 69. Let f be o(-24). Let t = 24 + -2. Let s = f + t. Calculate the greatest common factor of 172 and s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 64.5 + -64. Which is the smallest value?  (a) -12  (b) 1\/4  (c) -1\/2  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.143 + 0.157. What is the nearest to -2 in -2, 1, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 12\/11, 1.1, -1\/8, 8?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 680 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - -21227571?\nAnswer: 21227566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/12 and 1\/(-2) - ((-2950)\/(-80))\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 8:47 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 534615?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-82)\/(-15) + 3*7\/(-14) and 35\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28888 by -3611.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-70)\/(-7) - (890\/104 - (-175)\/100)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 3*c - 40 - 4 = 0, 3*w + 38 = -4*c. Let y = -16 - w. Let a = y + 13. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/9*(-78)\/52. Let y(n) = -n**2 - 35*n - 6. Let z(b) = -b**2 + 35*b + 4. Let c(v) = a*y(v) - 3*z(v). Let c(u) = 0. Calculate u.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -12*p**2 + 1. Let u be h(-1). Let t = -2 + 28. Let w = t + u. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/527, -2, 93\/5 in descending order.\nAnswer: 93\/5, -5\/527, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 + 28 + 97 = 10*m. Solve 5*b - 63 + 33 = -f, 3*f - m = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13745930 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(3\/((-36)\/(-8))). Suppose 5*r - r - 14 = -a*j, 4*r - 12 = -2*j. Suppose 2*g - 4*g + 6 = 0. Solve g*x = r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 2. Suppose -1 = -s - 2*r + u, -r + 13 = 4*s. Is -4 + (s - 2) + 56 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 170 times -678\nAnswer: -115260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 6)*12\/114.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 4*k**3\/5 + 876*k**2 + 60156*k\/5 - 82156 = 0.\nAnswer: -1081, -19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - -5) + -13 - -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*w + 40*w - 10 - 64*w as p*w + h and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12965604 and 1416.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30 - 28. Suppose -o*i = 2*i - 368. Suppose 2*a - 106 = -4*l, -3*l - 2*a + i = 2*a. What is the least common multiple of 10 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 37 = -3*q + m, 2*m - 62 = 5*q. Let v = q - -13. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -3*d + 2*g + 23, -4 = -3*d - 2*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -39*x + 58. List the prime factors of s(-14).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 3*u - s, -u - 6*s - 13 = -8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of s**6\/360 - 4*s**3\/3 - 3. Let u(y) be the third derivative of h(y). Let l(a) = -2*a**2 + 3*a - 3*a. What is l(u(n))?\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-6)*i**(2\/3)\/i*i**(-2)*i\/(i\/(i\/(((i**(-3)*i)\/i)\/i)))*(i**4\/i*i**(-2)*i)\/(i\/(i*i\/i**(-2\/7)))**42 assuming i is positive.\nAnswer: i**(158\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003906 to 7 dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -5*g**4 + 340*g**3 - 1660*g**2 - 13360*g + 59520 = 0.\nAnswer: -6, 4, 8, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 20 + -8 + (-7 + 12 - (8 + -2))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18690 - -18687. What is the second smallest value in -1252, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152 = 9*m - 836. Suppose -4*x + 2*n + m = -2*n, 0 = 2*x - n - 43. Calculate the highest common divisor of 192 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 286919 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjjjjm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3. Let u(i) = -14*i**3 - 2. Let k be 60\/(-35)*7\/1. Let h(a) = k*v(a) + u(a). Differentiate h(g) with respect to g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 15783519 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 3. Let y(u) = -u**3 + 7*u**2 + 10*u - 12. Let d be y(8). Let c = d - x. Sort -1, c, 4 in ascending order.\nAnswer: -1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-102 - 57753\/(-567))\/((-1)\/217).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - l + 1284. Let r be l\/132 - (0 + (7 - 4)). Let g = r - -28\/11. Calculate the common denominator of 149\/6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -307*k = -151*k - 172*k + 192 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*l**2 - 59580*l**3 + 19*l**2 + 59581*l**3 + 7*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 28 divided by 5\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 161602397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.24 - 0.65. Let h = -0.4283 - t. Round h to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2185 times 0.16288\nAnswer: 355.8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 37516662*x - 215062350 with respect to x.\nAnswer: 37516662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -12\/7, 0.1, 51 in decreasing order.\nAnswer: 51, 0.1, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/3*(-6102)\/36. What is the highest common divisor of h and 1243?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1979c + 23b5?\nAnswer: 1bb62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -532, -534, -536?\n\"Answer: -2*w - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2290012 or 2290014?\nAnswer: 2290012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 385 and 9765?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -72.85 + 73.11. Which is the second smallest value?  (a) -5  (b) 2\/3  (c) -1\/3  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3538823983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3\/7 - 52*m**2\/7 + 54*m\/7.\nAnswer: -2*m*(m - 1)*(m + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*a - 185*a**3 + 27*a - 406*a**2 + 411*a**2 wrt a?\nAnswer: -1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 72*v**3 - 2*v + 43?\nAnswer: 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (12 - (2 - -10)) + 10 + -25\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of -v**3\/6 - 3*v. Let k(g) be the first derivative of 2*g**3\/3 - 1. Give k(m(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a factor of 472972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1095 (base 12) in base 3?\nAnswer: -2112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/10 + 1\/((-15)\/(-2334)))*1208\/4832.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 0 + -289 + 270?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h + 17. Determine m(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*l*r**3*s + 2*l*r**3 + 1069*l*r**2 - 3*l*r - 2*r**3*s + 32*r**3 - 2662*r*s - 6*s - 12 with respect to s.\nAnswer: 3*l*r**3 - 2*r**3 - 2662*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1808\/192*(-44)\/330 and 39\/70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5 = o, v = o - 0*o + 1. Let h = -0.1 + 0.07. Let a = 0.33 + h. Put v, 1, a in descending order.\nAnswer: v, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nkqzqzvy. Give prob of sequence kq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7373838 and 1473.\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48*d - 50*d + 94*d)*(5*d - 3*d - 4*d)*(3*d**2 + 2 - 2).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 3*p = 2*p + 22, 0 = -5*p - 25. Let w = 40 - 38. Find the first derivative of -w + n**4 - f + 6 wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 248.\nAnswer: 74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*n**2 + 205*n - 10*n**2 + 38*n**2 + 12*n**2 wrt n?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -895*i**2 + 10*i + 25. Let d(j) = -2*j + 25. Let y be d(15). Let f be p(y). Round f to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5833\/25 - 233. Let t(j) be the first derivative of 0*j - d*j**5 - 1\/2*j**4 + 2\/5*j**2 + 14\/15*j**3 - 4. Determine h, given that t(h) = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 804 is divided by 146.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -841 + 840.9. What is the closest to d in 0.5, 95, 8, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 0*f + 7*f - 2*f. Let l(h) = -1 + 5 - 4 + h. Calculate -6*l(g) + v(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - k = 172 + 2416, -2*g + 1304 = -3*k. Let m be (-1942)\/g + (5 - -4)\/3. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -142095, -142106, -142119, -142134, -142151, -142170, -142191?\nAnswer: -142214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - 402*f**2 - 1207*f - 4011. What is r(-399)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + -9. Let k(u) = 4*u**3 + 1 - 3*u**3 - 2*u**3 + 6*u - 6*u**2 - 6. Let o be k(g). Solve o + 2 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2417832 is divided by 84.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1443 and 4773?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.2774648154 + 6942.\nAnswer: 6939.7225351846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16369627.\nAnswer: 43, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(1100) + sqrt(1100)*-2 - (sqrt(1100) - ((sqrt(1100) - (-1 + (sqrt(1100) - (sqrt(1100) + 2))) - sqrt(1100)) + sqrt(1100)))**2.\nAnswer: -10*sqrt(11) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -q**4\/12 - 9*q**3\/2 + 86*q**2 - 1471*q - 2. What is t(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65818524 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2939*y**4 + 5736*y**2 + y + 19.\nAnswer: -70536*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 0.1  (b) -5  (c) 8  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 57695 + 4 + (-5 - -6). Round r to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31352549 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 149.4 - 975.4. Let g = 779.9 + p. Round g to 0 dps.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -498 + 939. Let x = b + -441. Solve 6*s - 6 - 12 = x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28232 (base 9) in base 2?\nAnswer: 100101011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y**3 + 35*y**2 + 14*y + 28. Give s(18).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5158 + -5096. What is the remainder when d is divided by ((-6)\/1)\/((-3)\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -5*v**5 + 16875*v**4 - 684055*v**3 + 1950965*v**2 - 1917240*v + 633460 = 0.\nAnswer: 1, 38, 3334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.838933 micrograms?\nAnswer: 0.000000838933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(2\/7))\/(m**(-17)\/m) assuming m is positive.\nAnswer: m**(131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 2*v + 2386*v**2 + 0*v + 7.\nAnswer: 2386*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 0*u - u)*(-29 - 19 + 34).\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**3 - 2*b**2 + 2. Let z be q(-1). Calculate the common denominator of 131\/126 and (-546)\/(-4)*z\/48.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 - 3*q - 1. Let m(i) = -3 + 37*i + 7 - 36*i - 3. Give 2*m(l) + z(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.336 times 17?\nAnswer: -56.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(16) + ((-2*sqrt(96))\/sqrt(6) - sqrt(16))))\/((3*sqrt(96)*3)\/sqrt(12)) + 0)*4.\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/5*30\/(-12). Suppose 3*t - 6 = h*t. Suppose -2*s + 0*s - 12 = -2*x, 3*x + 5*s = -t. What is the highest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 242 (base 5) in base 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(132) - 3*(3*sqrt(132) - sqrt(132) - sqrt(132)) - (sqrt(132) + (sqrt(132) - sqrt(132)*2*5) + sqrt(132)))\/(5*-2*sqrt(1200)*-1))**2 + -5.\nAnswer: -1589\/400 + sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 118 + (3 - -1) + -3 + 1. What is the highest common factor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-30))\/((-14)\/(-42))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -17, -8, -3, -2, -5, -12, -23?\n\"Answer: -2*q**2 + 15*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 + -1 + 3 - -14. What is the second derivative of 20*m - u*m - 7*m - 12*m**4 wrt m?\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 514, 538, 578, 634, 706, 794, 898?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 249, 295, 347, 405?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - 3*h + 13 - 29, 3 = 5*n - 2*h. Let m = -162 + 649\/4. Which is bigger: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x**3 - x**3 + 0*x**3 + 54*x**2 + 20*x**3 - 54*x**2 - 2*x**3 + 2*x**3 + x**3 + (-x**2 - 3*x**2 + 3*x**2)*(-x + 0*x + 0*x))*(2*x + 4 - 4).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16\/(12\/3) + -74. Let f = m - -70. Solve f*c = -4*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 1:59 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52032 and 49593?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -152131*f**2 + 25*f + 4100?\nAnswer: -304262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5104134 and 95256.\nAnswer: 61249608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1253*f = 1279*f + 1430 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, e: 2}. Give prob of sequence ewe.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 1)*(-3*k**3 + 2*k**3 + 3*k**3)*(-60 + 3 + 150).\nAnswer: 186*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*g - 8 = -21*g + 4*l, 2*g - 8 = -2*l. What is the least common multiple of g and 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*(-1 + 1\/2). Suppose 4*u - 59 = -23. Let x = u - o. Solve 12 + x = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-50)\/175)\/((-2)\/6))\/(90\/(-140))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 336712246 and 358.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o + 10. Let w be z(-7). Let i(j) = j - 2. Let r(g) = 2*g - 6. Let x be r(4). Let h(l) = l - 2. Let s(m) = x*i(m) - 3*h(m). Give s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 4*x + 1066 = -0*x, -j - 530 = x. Let l = j - -847. Let n = l + -129. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1509 - -1509.6. Which is the closest to -3?  (a) 1\/8  (b) j  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 AM and 6:47 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-17 - 16) + 8 + -4\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 5*y**3 - y + 1. Let r be p(1). Suppose 0 = -r*j - 0*j + 10. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.4 + -1.6. Let v = 12 + f. Let t = -5.3 + 5.3. What is the closest to t in v, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -5*a - 64. Let g be z(-13). What is the tens digit of -50 + 46 + g + -1 + 830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 3 = -j. Let u be 1\/j*4\/1. Let i = -8 - -3. Put i, -1, u in increasing order.\nAnswer: i, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 748, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 872 a factor of 17858678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 200\/(-35700)*1887*((-7)\/2)\/(-1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -720 or -719?\nAnswer: -719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -318.9933 - 0.0067. Let g = x + 314. Which is the second biggest value?  (a) 4\/11  (b) 0.1  (c) g  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**3 + j**3 - j**3 + (1 + 1 - 1)*(4*j**2 + j**3 - 4*j**2) - 3*j**3 + 2 - 2)*(-12 - 7 - 1).\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -141*i + 218*i**2 + 285*i - 144*i as c*i**2 + j + f*i and give c.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -15*(-1 + 12\/9) + (-9 - -31). Which is the nearest to -2?  (a) m  (b) -0.3  (c) -1\/2  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 3*p = -3, -41 + 52 = -a - 5*p. Let u be 12\/4 + -7 + 1. Let m be 8\/(-2)*u\/(-4). Put -2, 0, a, m in descending order.\nAnswer: 0, a, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1428 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-24 + 28 - (-2 - 3)) + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + q)*(0*q**4 - 3*q**4 + 2*q**4) + (561*q**2 - 554*q**2 - 4*q + q)*(-1 + 0 + 3)*(2*q**3 + 0*q + 0*q).\nAnswer: 27*q**5 - 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of k**4 + 477*k**3 + 6*k**2 + 79*k + 149017020 wrt k.\nAnswer: 4*k**3 + 1431*k**2 + 12*k + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 67339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 16825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:00 PM and 9:59 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -3*l**2 + 1. Let f be k(-1). Let u = 3 - f. What is the remainder when 14 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11208?\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*u + 35*u = 5*s - 12*s + 80, 2*u + 0*s = -3*s + 38 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*i + 13*i. Is -3\/838 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1254015 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*t**3*u**3 + 11*t**3 + 18*t**2*u + 128*t*u**3 + 3*t*u wrt t?\nAnswer: 12*t*u**3 + 66*t + 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -8427\/4, 256, 0.2 in increasing order.\nAnswer: -8427\/4, 0.2, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-8 + 468\/27)*(4 - (8 - 1394\/357))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323.6270947 less than 15914?\nAnswer: 15590.3729053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9318 divided by -6.\nAnswer: -1553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 184*j - 3653. What is u(21)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 - 16*h**2 - 28*h + 28. Let f be j(-14). Solve -f + 29 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9205)\/1015 - (-4)\/58.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-5))\/j)**36*((j**(-2\/5)\/j)\/j)**(2\/5) assuming j is positive.\nAnswer: j**(-4524\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 g, and 1 h when three letters picked without replacement from ggghgrbbgbggggg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 12:58 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 AM and 7:19 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, e: 1, d: 1, t: 1, k: 2}. What is prob of sequence tkk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 5*u + 4. Suppose -935 = 13*w - 2*w. Let o = w + 82. What is v(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**3 - 5*l**2 - 2*l + 2. Let y be t(3). Let q = 1 - 3. Let o = q + 27. What is the greatest common factor of o and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2067 times -4?\nAnswer: 0.8268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*l**2 + 39 + 6 + 2 + 3*l**2 + 6*l**2 to x + g*l**2 + i*l and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 195 - -259a3?\nAnswer: 25b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 5, -0.05, -5, -289, 1\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (2 - -4)) + -4 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100, -192, -298, -418?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 55899017 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31064*n + 31235*n + 0 + 55*n**4 - 1 wrt n.\nAnswer: 660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 700 = -0*k. Let h = -16 + 16. Let b = k + h. What is the greatest common factor of 25 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l. Let g(t) be the second derivative of 10*t + 0*t**2 - 9\/4*t**4 + 0 + 0*t**3. Calculate g(h(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 689*z + 8956. What is l(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -460022, -1840147, -4140348, -7360619, -11500954, -16561347?\nAnswer: -22541792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.29  (b) -1\/6  (c) -1452.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1448 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1605599, 3211211, 4816823?\nAnswer: 6422435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 PM and 3:35 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87950 = -9*x + 226721. Suppose -1662 = -31*t + x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v\/v**(3\/16))*v))\/(v**29*v))\/(v\/v**(-3\/8)*v\/v**15) assuming v is positive.\nAnswer: v**(-281\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/u**(2\/27)*u**(-9)*(u*u**29*u)\/(u\/u**30) assuming u is positive.\nAnswer: u**(1402\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 136 - 96. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of 7*s**5\/60 + 3*s**2\/2 + 1. Let a(c) be the second derivative of j(c). Let f(o) = 2*o**2. Determine f(a(b)).\nAnswer: 98*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 160*d - 164*d + 224. Let h(v) = d - 114 + 58 + v**2. Let a(f) = -14*f**2 + 1. What is a(h(w))?\nAnswer: -14*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25502, 17654, 9804, 1952, -5902?\nAnswer: -13758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r + 9 - 9 = 0. Let m be ((-7)\/(28\/(-216)))\/(r - -1). What is the highest common factor of m and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of -77*j**4\/6 - 1503*j. Let q(t) = -4*t. What is v(q(b))?\nAnswer: -2464*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -1\/2  (c) 0.2  (d) 2\/11  (e) 298  (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14509)\/(-5276))\/((-1)\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -12195.\nAnswer: -36585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -925*a - 56496 = -281*a + 1710*a for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2 + 0.25. Let o = -1.05 + t. Let r = -94 - -92. Sort o, r, -2\/3.\nAnswer: r, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - 2 - 3\/27. Let v = 0.17 - -0.23. What is the biggest value in g, v, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(1 + sqrt(1700) + -4 + sqrt(1700)))**2 - ((sqrt(85)\/(sqrt(5) - sqrt(20)))**2 - (sqrt(85)\/(sqrt(20)\/sqrt(4)))**2)*1.\nAnswer: -120*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((16 - 11) + -14 - -9) + (10 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2601 by 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2480254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1287\/12 + -4 + (-152)\/(-32). Let z(m) = -12*m**3 - m**2 - m. Suppose -5 = b + 4*b. Let n be z(b). Calculate the greatest common factor of s and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*6\/(-4) + 105\/(-35). Which is the closest to -1\/5?  (a) -4  (b) z  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 366 = -5*l, -3*l - 152 = -5*l + 3*s. Let c be ((-6)\/3)\/((-5)\/l). Suppose 5*q = -2*q + c. Solve q*x - 3 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*i - 5*f - 121, -i - 732 = 4*i - f - 493 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 + 5*f. Let i be -3 - ((-1 - -1) + 1). Give b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/124083 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1869, -1875, -1883, -1893, -1905, -1919?\nAnswer: -1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of -w**4 - 4*w**3 - 6*w**2 - 4*w - 3. Let f(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = 659*n - 656*n + 19, -4*k = -6*n + 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16 or 931\/55?\nAnswer: 931\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*c**3 + 46*c**3 + 58*c**3 - 138*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 20, 118 in decreasing order.\nAnswer: 118, 20, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 71135*r + 71127. Calculate n(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.072 and 15776695.23.\nAnswer: 15776695.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of -2 - 207\/16*u**2 - 81\/4*u + 13\/6*u**3 - 3\/32*u**4. Factor l(c).\nAnswer: -(c - 9)**2*(3*c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 134 + -94. Suppose 3*f = 4*f + z. Let p = -1 - f. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5469 - 1397 = 4*h. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 - 27.5. Let d = -2.5 + a. Let w = d + 0.6. Round w to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 4 = 10. Let h(g) = 4*g**2 - 3. Suppose -5*k - 17 = -2. Let y(l) = 3*l**2 - 2. What is k*y(w) + n*h(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 57*d**2 - 116*d + 6. Calculate c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*f = 2*f - 216. Suppose 3*g + 50 = 14. What is the least common multiple of 20\/8*g\/(-10) and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 121889 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 59*f**2 + 1642*f - 277. Determine o(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 - 3 + 3)*(-10*w - 3*w - 33*w)*(-8 - 10 + 19).\nAnswer: 92*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0555007 take away 190?\nAnswer: -190.0555007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 170979975 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of z**9\/2160 - 3*z**5\/40 - z**4\/6 + 4*z**2. Let y(o) be the second derivative of t(o). Differentiate y(w) with respect to w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 14) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/479 in 459, 4\/3, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-18 - -15) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.5 + 7.5. Put 0.3, k, 0.5, -0.3 in decreasing order.\nAnswer: k, 0.5, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (65*n - 178*n + 71*n)*(-n + 3*n + 7*n) + n**2 - 4*n + 4*n + (-n + 0*n - n)*(0 + 0 + n).\nAnswer: -379*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/7749 <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0014979089 rounded to six decimal places?\nAnswer: -0.001498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -8 + (-1 - -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1654825402.\nAnswer: 2, 311, 1109, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 7 + 15 = 0. Suppose u*a = 748 + 1120. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 10:41 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-9))\/((-58)\/870).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -73 != -5622\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = -28*s + 279, s - 22*u - 5 = -21*u + 4 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 105400 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-7 - -1) + -11 + (-1 - -5646).\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of 3*l**3\/2 + 13*l**2\/2 - l. What is the tens digit of n(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**4\/2 - 3868*r**3 + 58095*r**2 - 290600*r + 968875\/2.\nAnswer: -(r - 5)**3*(r + 7751)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4844 - 9?\nAnswer: -484d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 AM and 3:01 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4*k - 249 = 2*l, l - k = 90. Calculate the remainder when 956 is divided by l.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2419b + 77?\nAnswer: 24234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-2*(sqrt(13) - (sqrt(13) + 1)) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/a**(-1))\/(a**(-4)\/a))**(-44) assuming a is positive.\nAnswer: a**(-352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22112000200112 + 1021?\nAnswer: -22112000122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00005969 rounded to six decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0672 - -2.0672. Which is the smallest value?  (a) 283  (b) p  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 8*y - 14. Suppose 3*w - 52 + 3 = 4*j, 2*w - 66 = -4*j. What is the remainder when i(10) is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 512 and 1664?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of -144*i**5\/5 - 1227*i**2\/2 - 872*i. Differentiate c(x) wrt x.\nAnswer: -1728*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24*r**2 + r**4 + 232 - 4*r**4 + 5*r**4 - 4*r**4 - 77 with respect to r.\nAnswer: -8*r**3 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7669 is divided by 3775.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.8957616 days?\nAnswer: 77393802240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 480 in 2\/11, -3\/2, 34, 0.053, 1, -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + (-3)\/(0 + -3). Suppose -d = -q*d + 10. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -878 - -1347. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21*5\/45*555\/(-37)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -800 divided by 160.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 3. Let a(f) = 3 - 7*f - s + 0. Let o(b) = b. Give a(o(v)).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/5)\/m)\/(m*m*m\/(m*(m*m*(m\/m**9)\/m*m)\/m)) assuming m is positive.\nAnswer: m**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus -24544.5159058885?\nAnswer: 24547.5159058885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5443861, 5, 3.\nAnswer: 3, 5, 5443861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/30 + 2181\/210 + -10.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-132)\/88)\/(2\/12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 631072 and 123136?\nAnswer: 5048576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2. Let x(m) = 4*m + 4. Let d = 1 + 0. Let k(l) = d*s(l) + x(l). Is k(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.22 - 0.3. Let z = f + -0.22. Let w be (-18)\/12 + (5 + -2)\/3. What is the second biggest value in w, -2, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (12 - 21 + 15)*(9 + 3*r - 9) in the form f*r + x and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of -k**7\/840 + k**6\/45 - 7*k**5\/120 + 7*k**4\/24 - 4*k**3\/3 + 6*k**2. Let n(y) be the first derivative of j(y). Give n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -22 - -7827?\nAnswer: 7805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -391 + 390.99626. Round f to four dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of t**2 + 3*t + 6. Let q(f) = 3 - 6 + 4 - 2 - f. Give -3*k(c) - 8*q(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77908724 is divided by 142?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-605)\/(-88))\/11)\/((-10)\/(-12)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -771, -2460, -5269, -9192, -14223?\n\"Answer: a**3 - 566*a**2 + 2*a - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -157\/60 and 64\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10, -24, -38, -52, -66, -80?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-20)\/(-10)*-4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - w - 92 = -5*w, 0 = -2*w + 6. Let p(a) = 3*a**2 - 4*a - 4. Let r be p(-4). Let v = r - o. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) 71  (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-5) + 54\/(-10). Let f be (r\/12)\/(1\/(-90)). Find the second derivative of 0*d + 3 + 4*d + f*d**3 - 5*d - 28 wrt d.\nAnswer: 270*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/35)\/(168\/20).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + -5. Let c be 2\/(-4) + 21\/y. Is 3 a factor of (-3 + (c - 1))*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(3 + sqrt(21)\/sqrt(3) + (sqrt(7) + 1)*-1)**2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 7*i**2. Let a(g) = 2*g**2 + 2*g**2 - g**2 + 0*g**2. Determine a(d(j)).\nAnswer: 147*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4*(7 + 270\/(-24)) + 6. Let j(a) = 16*a - 6. Let u(w) = 11*w - 4. Let t(m) = -5*j(m) + 7*u(m). Let x(k) = -16*k + 10. Give r*t(q) + 2*x(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2583345247 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1440340 + 31330?\nAnswer: -1404010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r - 12. Let s be h(14). Differentiate 23*a**2 - 27*a**s - 3 + 4 with respect to a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14446.15252 - 208.\nAnswer: -14654.15252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -171*l + 174*l - 2 - 10. Let x = -16 + 27. What are the prime factors of n(x)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 248*p - 119*p - 380534 = 107*p. What are the prime factors of p?\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 626002649 to the power of 1\/2, to the nearest integer?\nAnswer: 25020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + a - 2 = 0, -2*a = 4*g - a - 2. Solve -5 = 5*q - g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-3\/13)*n)**(36\/11)\/(((n**(-18)\/n)\/n*n*n)\/(n**(-2\/103)*n)))**(-2\/7) assuming n is positive.\nAnswer: n**(-90470\/14729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*y + 28*y - 7*y + 16*y)*(-4*y**3 + 3*y**3 + 3*y**3).\nAnswer: 98*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 17300529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 102 = -3*w - 0*f, -5*w - 5*f = 170. Let n = 42 + w. Solve 2*m - 4*x - 2 = -3*x, -4*m + 3*x = -n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 5*2\/5. Is 2\/7 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -20032, -17728, -15424, -13120, -10816?\n\"Answer: 2304*y - 22336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26011627.\nAnswer: 19, 1369033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 6*o**3 - 6*o**2 - 165*o - 17. Let i(j) = 4*j**3 - 5*j**2 - 165*j - 14. Calculate -6*i(w) + 5*v(w).\nAnswer: 6*w**3 + 165*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or 4\/1819?\nAnswer: 4\/1819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2517*o**4 - 1398 wrt o?\nAnswer: -10068*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*t + 2*t + 3*t + ((4 - 4 + 1)*(8*t + 11*t - 16*t) - 2*t + t - t)*(33 - 4 + 7).\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -744 - -765. Suppose d*o - 65 - 19 = 0. Solve o*i - y - 5 - 15 = 0, -5*i - 4*y + 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*w + 6*w - 7*w**2 - 46*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 5*r. Let c be l(-5). What is the first derivative of -3*z**3 + c + 1 + 5 wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence crc when three letters picked without replacement from rcccrrrrccccr.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1056*j**3 - 860*j**3 - 580*j**3)*(j**2 - 5*j**2 - j**2).\nAnswer: 1920*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 161.71 - 161. Let f = i - 1.21. Let v = -4.07 - -0.07. What is the third smallest value in v, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2*l + 3750 = 0. Is l\/5 - (2 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 855398.48 to the nearest 100.\nAnswer: 855400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-726)\/(-80960)*((-12)\/15 + 819\/180) and -99\/5888.\nAnswer: 5888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 15 = -5*d, -10*d + 9*d = -x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1004 is divided by 801?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -900 - -880.04. Let r = 20 + s. Let g = r - -1. Round g to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2746*b - 189475. Determine m(-69).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4504\/((-2)\/((0 - -6) + -3)). Let t = 12265 + c. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, p: 1, v: 4, u: 4}. What is prob of picking 1 p, 2 v, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (174\/232*4)\/((-3)\/(-2)*66)\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4319 = -421*o - 1582*o - 51765 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - 17*h**2 - 19*h + 19. Let r be m(18). Let o be r\/4*(0 - -12). Solve -o*g = -2 + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s\/s**(-1\/3))**(11\/6)\/(s**(5\/2)*s\/(s**(-21)\/s)))**(-1\/7) assuming s is positive.\nAnswer: s**(349\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 - -12.98. Let x = 0.38 - u. Let n = 0.2 - -0.8. What is the closest to n in -0.1, x, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7)\/14 - 98\/(-4). Is p at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2315 + 0.0095. Let v = -0.241187 + z. Round v to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18797?\nAnswer: 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2)*j**(-2\/99)\/j*((j**(-2\/13)*j)\/j)**40 assuming j is positive.\nAnswer: j**(-11807\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*x - k, -2*k = 4*x - 5*k + 31. Let f be (-558)\/(-8) + (-1)\/x. List the prime factors of (-3)\/(-6) + f\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2 and 6324?\nAnswer: 6323.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t. Let w(m) be the first derivative of m**5\/60 + 7*m**3\/3 - 5. Let y(n) be the third derivative of w(n). Calculate z(y(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -326831\/20 - -16352. Let x = k - 51\/5. Which is the closest to 1?  (a) -19  (b) 0.4  (c) x  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/2948 and -101\/24326896.\nAnswer: 24326896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 78 = 5*b + 398, -5*b + 350 = -5*u. Let x = 91 + u. Factor 72*z - 22*z**3 - 18*z**4 + 0*z**5 + 2*z**5 - x*z**2 + 22*z**4.\nAnswer: 2*z*(z - 2)**2*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10022.\nAnswer: 2, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 0 - 2)*(-2 - 2 + 5) + 6 + 7 - 6)*(3*b - 2*b - 2*b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 465 - 465.4. What is the closest to 5 in 4, -0.1, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*(n\/(n*n**(-5))*n)\/n)\/(n*n**(-4)))\/(n\/(n\/(n*n**0)))**(-28))\/(n**1\/n*n**(-1))**2 assuming n is positive.\nAnswer: n**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169647*c + 166714*c + 55727 = 0 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 45 = -0*q. Solve v + 4*v - q = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**4 + 1456615*d**3 - 106084177955*d**2 - 318265643535*d.\nAnswer: -5*d*(d - 145663)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + 0 - 0) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3*g - 8. Suppose 3*u - 78 = 2*m, -4*u - 2*m + 51 = -39. Let k(i) = i - 17. Let p be k(u). Calculate s(p).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -5*v**2 + 11*v - 1. Let b(i) = 11*i**2 - 23*i + 2. Give 6*b(p) + 13*g(p).\nAnswer: p**2 + 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 6 + 12 + 24 - 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -261.6189 and -4982?\nAnswer: 4720.3811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102840 = -16*u + 5*u - 4*u. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -9, 5, 49, 141, 299, 541, 885?\n\"Answer: 3*m**3 - 3*m**2 + 2*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -466870665 - -0.0147.\nAnswer: -466870664.9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2 + 6*b - 8. Let c(n) = -n**2. Suppose 2*s - 3*q = 11, 0 = 5*s + 3*q - 0*q + 4. Let v(x) = s*d(x) + 2*c(x). Determine v(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 60 = -65 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n - 13 = 19. Suppose 4*p = -n*p + 4*p. Find the common denominator of 23\/6 and (1*(-1 - p))\/(54\/(-1251)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -5*c**3 + 9*c**2 - 4*c - 25. Let b(l) = -2*l**3 + 4*l**2 - 2*l - 13. What is 9*b(j) - 4*m(j)?\nAnswer: 2*j**3 - 2*j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2533c (base 15) in base 3?\nAnswer: -20001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a factor of 87762700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 198089179 + -4?\nAnswer: 198089175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/8)\/((5 + -1)\/24).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4\/13 - 2\/13*b**3 + 6\/13*b**2 - 2\/13*b**4 + 10\/13*b = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 776 * 9.\nAnswer: 6984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**3 + 3*g**2 + 4*g + 4. Let z = 9 + -5. Let k be o(z). Let s be k + 1 + (-1 - 1). Solve -s*l - 3 = -0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 2:54 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-102855*x - 102630*x + 201831*x)*(0 - 2*x**2 + 0 + (x - 2*x + 3*x)*(4*x - 2*x + 0*x)) to the form z*x + f*x**2 + b + k*x**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*n + 2*n + 50 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -4444, -1249?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*s**2*z**4 + 2*s**2 + 12*s*z - 3501*z**4 - 68*z - 8 wrt z.\nAnswer: 24*s**2*z**2 - 42012*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 713404 (base 8) in base 3?\nAnswer: 102221201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2854151 is divided by 2843.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49 + (78 - 113) + 8.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2027, -2067, -2107, -2147?\nAnswer: -2187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 5*d**2 - 5*d + 8. Suppose -3*v + 24 = 6. What is the remainder when i(v) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 41*c**2*f**3*x - 155*c**2*x - 3*c*f**3 + 3*x wrt f?\nAnswer: 123*c**2*f**2*x - 9*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -407*z**4\/12 - 2536*z. Let o(y) = -20*y. Determine v(o(w)).\nAnswer: -162800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1060*y**2 + 2*y - 2223?\nAnswer: -2120*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18652 + -17581.1. Let q = 1117 - x. Let y = q - 65. What is y rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 146 - 54. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2871, -12689, -29059, -51987, -81479?\nAnswer: -117541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*k + 13*k - 9 = 0. Let a be -2 + (4 - 0) - k. Suppose -30 = -a*y + 10. What is the smallest common multiple of 4 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ywyf when four letters picked without replacement from wyyfwyyj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1 and 271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 15345585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from fzddzfzzzzzzzffdd?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -11*y**2 - 4*y - 4. Suppose r + 35 = 2*r. Let d(g) = 98*g**2 + 35*g + 35. Suppose 12934*a = 12876*a + 232. Calculate a*d(s) + r*f(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 119.7, -68, 3\/7, -3, 6\/11, 0 in descending order.\nAnswer: 119.7, 6\/11, 3\/7, 0, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 1510 = 9*r - 4*r, -5*h = -25. Calculate the smallest common multiple of 16 and r.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 651 + -942. Let r = -437 - -5237\/12. Calculate the common denominator of r and p\/(-12) - 3\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3336.861057 rounded to the nearest integer?\nAnswer: -3337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 18, 36, -2\/11, 21, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -0.08169.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c + 20. Let d be p(10). Suppose -3*u = 8*b - 3*b - 32, d = 2*u + 3*b - 20. Solve -u*q - 12 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/3  (b) -1\/5  (c) 28  (d) 0.04  (e) 173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1838505 is divided by 397?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p - 4 + 4. Let t = -313 + 320. Let i(y) = -t + 7*y**2 + 14 - 7. What is u(i(z))?\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 510 and 38254760?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 13*p + 9. Let a(g) = -3*g**2 + 52*g + 35. Let w(f) = 2*a(f) - 9*o(f). Let v(n) = -2*n**2 + 7*n + 6. Give 7*v(r) + 4*w(r).\nAnswer: -2*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of 16 - o**2 - 4*o + 2\/3*o**3. Determine u, given that c(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -2*h - 5*y, 0*h - 3*h = 18*y + 20 + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -5512*z - 84. Let u be o(-12). Round u to the nearest 1000.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 25325 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, d: 3, g: 1, s: 5}. Give prob of sequence ssd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31667 + -31666.69603. Round c to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (15 - 1133\/77)*(-539987)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62 + 10 + 20)*(6*k**3 + 0*k**3 - 2*k**3).\nAnswer: -128*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 200928 divided by 92.\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 PM and 7:27 PM?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Solve -4260*c - 456 = -4298*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -5611.4 to the nearest ten.\nAnswer: -5610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)\/sqrt(3)*-5)\/(sqrt(600)*-2))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00202149892 rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2 + a + 2. Let p(f) = f**3 - 6*f**2 - f + 4. Let u be p(6). Let q be s(u). Let y be q\/3*(0 - -24). What is y rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 32 = -2*k. Let p = k - 14. Solve w = 3*w - p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5119, 10273, 15459, 20671, 25903, 31149, 36403, 41659?\nAnswer: 46911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z - 1. Let y(d) = 4*d + 8. Let k = 11 - 10. Give k*y(c) + 6*p(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**5 + 4*q**5 - 7*q**5 + (-5*q + 5*q - 2*q)*(14 - 9*q**4 - 14).\nAnswer: 17*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - -21) + (2 - -1) + (14 - 17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47023 - 47168.966. Let r = l + -3.334. Let z = -140 - r. What is z rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + s - 3, s + 0*s = 3. Suppose -29*j + 25 = 170. Let z = b - j. Solve -2*m + 15 = z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/1723959 and 70\/33.\nAnswer: 18963549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39260789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22365, 22245, 22125, 22005, 21885?\nAnswer: 21765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -5301*c**3 - 9*c**2 - 12*c - 2. What are the prime factors of q(-1)?\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of 0 - 1\/945*h**7 + 0*h - 4*h**2 + 1\/270*h**5 + 0*h**3 + 0*h**6 + 0*h**4. Factor c(d).\nAnswer: -2*d**2*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-4)*m\/(m*m**0))\/(m\/(m**(-1)\/m))**29)\/(((m**7\/m)\/m*m**1*m*m)\/(m**5\/m*m**(-7))) assuming m is positive.\nAnswer: m**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19.9 - 23. Let n = f - -3.10008. Round n to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3.3  (b) -1\/5  (c) -2  (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/180 and 103\/585.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 4*z - 2*g + 8, 2*g = z - 4. Solve 3*j + 3*h + 16 = -z*j, 2*h = 4*j + 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*k - 23, 3*k - 2*k - 2*a - 6 = 0. Suppose -k*b = b - 2151. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -40, -0.2, 35?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5*w - 5 - 9 = 0, -3*c + 3*w = -12. Let j(a) = 2 - a + c + 2*a. What is j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1749528 and 11274736?\nAnswer: 101472624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 152.1145534 rounded to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -5*f**2 + f. Let h(s) = 4*s. Calculate h(n(g)).\nAnswer: -20*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 48 = 2*c. Let t(o) = -o + 6. What is t(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6 + 1)*(-28)\/10. Suppose -4*x + 9 + o = s, -2*s + 3*x + 35 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 9) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c - 3*h - 184 + 173, 4*h = 3*c - 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*v - 1. Suppose v - 9 = -2*f. Suppose -3*w - f*k = -w - 53, -w + 4*k + 54 = 0. What is the remainder when w is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6899007 (base 10) to base 6\nAnswer: 403511503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26*i**3*v + 34*i**2*v**3 - 698*i*v**3 + i*v wrt i?\nAnswer: 156*i*v + 68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nrrohonorornrr. What is prob of picking 1 r and 3 o?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0*(-3)\/(-9) - 36. Let a be (-2)\/(-9) + 548\/j. Is ((-10)\/a)\/(2\/60) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 28.53.\nAnswer: -2.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38715 and 192.\nAnswer: 2477760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) 2\/11  (c) -3\/7  (d) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 192824, 192731, 192638?\nAnswer: 192545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 9 = 4*g - 4*i, -5*g + 30 = 4*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 8*a**2 + a + 9. Let k be h(-8). Suppose 2*w - 11 + k = 0. What is the highest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-16)\/(-6))\/((-168)\/(-252)). Solve -5*g - 15 = -5*h, -3*g = -m*h + 16 - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12633 - -8706. Suppose -3*p + 2*p = -q. Let l = -40339 + p. What is l rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 PM and 2:07 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 17351, 34711, 52071?\n\"Answer: 17360*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(160\/(-90)) + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11026 - -1624443468.\nAnswer: 1624454494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 51514559, 103029119, 154543679, 206058239, 257572799, 309087359?\n\"Answer: 51514560*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 5 - 143*r - 7 + 138*r. What is g(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1202112220 + -11?\nAnswer: 1202112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -198 + 198.15. Sort -1\/4, x, -3 in descending order.\nAnswer: x, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/((i*i**(-3)*i)\/i))\/((i*i**(-1\/3))\/i))**1)**(3\/13) assuming i is positive.\nAnswer: i**(10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-22)\/4 - 6\/(-4). Let m be (-25824)\/(-112) + n\/7. What is the units digit of 4\/(-14) + m\/70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 127 + 132. Suppose -3*p + n = 4*h, h + 2*p = 2 + 64. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -87280 or -87290?\nAnswer: -87280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(2 + sqrt(704)) + (-1*sqrt(704)*-1 - sqrt(704)) + 3.\nAnswer: 15 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -w**4\/34 + 43*w**2\/17 + 84*w\/17 - 852. Solve t(o) = 0.\nAnswer: -6, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 8:35 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03536 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - 2 - 39090129*1. Let z be (-9)\/18 - r\/2. Suppose 6*p - 53745064 = -z. Round p to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 1)*(3*b - 2*b - 3*b) + (3 - 3 - 1)*(-b + b + 2*b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2157 is divided by 595.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 10:37 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6810271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3217*n**3 - 3207*n**3 - 3206*n**3 - 3204*n**3 + 16035*n**3 - 3205*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 10 = -2*l + 2*f, 0 = 5*l + f + 12. What is the second biggest value in l, -1\/3, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -5*u - 1. Let g = 2 + -22. What is the units digit of q(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -1*(sqrt(288) + -1))**2.\nAnswer: 24*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - d**2. Let q(s) = -4*s**3 - 18*s**2 - 17*s + 38. Let f(w) = -q(w) - 3*v(w). Calculate the smallest common multiple of f(-20) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1.2, 0.1, -0.5, 4\/43, 1\/4, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 m, and 1 s when three letters picked without replacement from ommmnnobonmomombmoos.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 103294 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 17 + 17 + -3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -29b9 + be?\nAnswer: -28ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/195 and -77\/104.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = g - 13. Suppose -o - 5*z = -51, -2*o - 71 = -3*o + 5*z. Calculate the remainder when o is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/13 + 9242*n\/13 + 3361508\/13.\nAnswer: 2*(n + 398)*(n + 4223)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 20 = -0*k + 3*g, 4*g = k - 14. What is the closest to 1 in k, -2\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9648325649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -221*a**2 + 69*a**2 + 79*a**2 + 70*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7845 - 1130*r - 7845)*(r - 1 + 1)*(-5 + 2 + 5).\nAnswer: -2260*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) -1\/8  (b) 277  (c) 3  (d) -2\/59459\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*k + 44*k - 238559 = 2009840. Is 98 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-3)*(-2)\/(-10)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 218 divide 18158536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 2598\/(-170) + 84\/210 - 1182\/10047.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -917087 (base 15) to base 3\nAnswer: -111000000000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21897443 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2486367mg in kilograms?\nAnswer: 0.0000002486367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 3)*(6572 - 8*h**2 + 5*h - 6572).\nAnswer: -16*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -54*i*m*p*w**3 - 19*i*m*p - i*m*w**3 - i*m*w - i*p*w**2 + 2*i*w**3 - i*w**2 - 2*i wrt w.\nAnswer: -324*i*m*p - 6*i*m + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 252*i - 399*i = 83*i + 710*i + 5640 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 59 = -5*w, 5*w + 38 = 3*i - 179. Let q = i + -66. Suppose -14*p + 6*p**3 + 44*p + 17*p**3 + 5*p**4 - 55*p**2 - q*p**3 = 0. What is p?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -783, -3, -2\/673?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 542, -936.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -140.117\nAnswer: -420.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q + 12*q = -2. Put -5, q, -3, -4 in decreasing order.\nAnswer: q, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -53, -105, -157, -209?\n\"Answer: -52*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 - (6 - -19 - 9) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 8\/3 + -62\/21. Let i = -36.138 - -41.138. Which is the closest to 1?  (a) 4.5  (b) t  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l + 65. Let d be x(-14). Suppose -d*u + 222 + 516 = 0. What are the prime factors of u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 + 2*r + 3. Give c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 + 4*w**2 + 2. Give a(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 302968934.\nAnswer: 2, 17, 331, 26921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*l - 81 = -2342. Calculate the remainder when l is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 309 divide 3784527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-47)\/(-5))\/((-59)\/((-7670)\/78))*6\/(-2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -23\/893 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/1670560 and 49\/27200.\nAnswer: 283995200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3755, -2466, -1083, 442, 2157, 4110, 6349, 8922?\nAnswer: 11877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l + 134017 = 29227. List the prime factors of l.\nAnswer: 3, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 + 12*a + 12. Suppose 0*u + 36 = 3*u. Let z be y(u). Suppose 4*v - 2*v = -h + 12, 3*v = -h + z. Calculate the least common multiple of h and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w**2 + 2*w + 7. Let d(k) = -k**2 - k - 3. Let f(z) = 7*d(z) + 3*r(z). What is f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.35 + 4.75. Let q = -7 + y. Let f = q - -1. Which is the smallest value?  (a) 5  (b) -0.4  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1305538 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4146, -8246, -12332, -16398, -20438, -24446, -28416, -32342?\nAnswer: -36218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v - 3*v**2 - 2 + 5*v**2 + v**2. Let h be -2 - (12\/15 + (-56)\/70). Calculate q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 6*n + 42. Let m(w) = w**2 - 14*w + 38. Let q be m(9). Let o be y(q). Solve c = o, -5 - 7 = -3*l + c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 + -1. Suppose -t*c + 88 = -8*c. Calculate the remainder when 131 is divided by c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 AM and 7:05 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 60 = -2*h, -4*h - 88 = -2*p + 4*p. Let i = -47\/2 - h. Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iaaqaaaqiaaaaaqq. Give prob of sequence ia.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2513, 5010, 7503, 9992, 12477?\nAnswer: 14958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 323 and 3043.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -2*n + 5, 0 = -3*l + 2*n - 155. What is the lowest common multiple of -1 + 5\/((-10)\/(-8)) and (l\/33)\/(105\/54 + -2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 53*r - 87*r**2 + 107*r - 265*r + 5 + 103*r - 3 as h*r**2 + y*r + f and give h.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 343.675 + 0.325. Let a = r - 344.2632. What is a rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -335.5?\nAnswer: -1677.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -39*j**2 + 20*j**2 + 3*j**2. Let q(w) = 4*w. What is o(q(v))?\nAnswer: -256*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {b: 3, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k**2 - 10*k - 37. Let h(j) = 34*j**2 + 2822*j - 6. Let o be h(-83). Determine z(o).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -26*s - 2187. Calculate the remainder when c(-124) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (190\/(-30) - -9)*(-1 + -143). Let t = o + 426. What is the least common multiple of t and 90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pzpjzpzpzzjzpzzjppz. Give prob of sequence jjj.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(63))\/sqrt(9) + sqrt(7) + -4 + sqrt(49)\/sqrt(7).\nAnswer: -4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -82 - -571\/7. Let r = 0.3 + -0.1. Sort z, r, -0.3 in decreasing order.\nAnswer: r, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - 33*u. Calculate d(31).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 18193554043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 12:17 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/(-63) + (-7)\/24?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 280*z**3 + 18*z**2 - 9*z + 9. Let j(t) = -140*t**3 - 8*t**2 + 4*t - 4. Give 4*c(w) + 9*j(w).\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(12) - (0 + sqrt(12)*-3) - sqrt(36)\/(sqrt(60)\/sqrt(180) + sqrt(12))).\nAnswer: 200*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 83332320 divided by 16666464.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*h - 3*h - 17*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in -2, -4, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 4*p**3 + 2*p**2 + 2*p - 3. Calculate x(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 5:15 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 19274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -932*d**2 + 6401*d - 410*d**2 - 2797*d**2 - 852*d wrt d.\nAnswer: -8278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 321936*w + 321933*w - 643944*w + 9*w**3 to the form d*w**3 + t + v*w**2 + z*w and give z.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 973 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.18 + -0.18. Sort 0.04, c, 1 in ascending order.\nAnswer: c, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9924082*b**5 - 8*b**4 - 592618188*b**2.\nAnswer: -595444920*b**2 - 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*x + 9*x + 5*g + 30, -3*g - 29 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*o - 33 = -65 - 185 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -842*v**5 - 2*v**2 + 1350*v wrt v?\nAnswer: -50520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 6*d**3 - 7*d**2 - 13*d + 2. Let w(j) = -4*j**3 + 5*j**2 + 9*j - 1. Let a(k) = 5*t(k) + 7*w(k). Let z(m) = 9*m**3 - 9*m + 13. Give -26*a(h) + 6*z(h).\nAnswer: 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13\/1637 - 113681\/91672. Calculate the common denominator of x and -35\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(2*(1 + sqrt(112)) + 2 + 5))**2.\nAnswer: 2304*sqrt(7) + 8464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 6 = 18. Let v(c) = -2*c + 16. Let u(m) = m - 8. Let b(j) = -11*u(j) - 6*v(j). Give b(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 56. Suppose -332*m + 744 = 80. Put m, j, 1 in decreasing order.\nAnswer: j, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + 1 + 11, 5*x + 2*v = -51. Let l = x + 30. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 283 + -263. Solve -4*k + 3*z = -4, -10*z - p = -15*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.299 + 1.701. Let n = 0.5 - 0.4. Which is the third biggest value?  (a) -3  (b) h  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 26, -1, -0.1 in ascending order.\nAnswer: -1, -0.1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33*f + 14*f - 20*f)*(-32 - 9 - 5).\nAnswer: 1794*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 153 - (271 - 133) - (-1 + -17).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**3 - b**2 + 2*b**2 - 4*b**2 - 2)*(-10 + 29 + 159).\nAnswer: 356*b**3 - 534*b**2 - 356","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 2*k**2 + 19*k - 34. What is the remainder when 263 is divided by q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 7*a. Let r(q) = 30*q. What is k(r(h))?\nAnswer: 210*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13976*b**2 - b + b - 15424*b**2 to p*b + q + c*b**2 and give c.\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1674.072g to tonnes.\nAnswer: 0.001674072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-49)\/((-4116)\/238)*6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 280373 is divided by 553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -116*d**2 + 2*d + 2. Give m(-1).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 30*p**2 - 202*p + 38. Let k(h) = -14*h**2 + 103*h - 19. Give 6*b(a) + 13*k(a).\nAnswer: -2*a**2 + 127*a - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 AM and 2:46 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 + 9*i**2 + 14*i - 24.\nAnswer: (i - 1)*(i + 4)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 3*t. Let n(p) = -30*p + 2. Give n(h(x)).\nAnswer: -90*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -76\/51 and -105\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does -91 = -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 3*(-2 + ((5*(sqrt(153) + 0) + -4)**2 - ((sqrt(153) - -1*sqrt(153))*-2 - (-6*(sqrt(153) + 1*sqrt(153)))**2))).\nAnswer: -324*sqrt(17) + 77609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -193, -199, -209, -223?\n\"Answer: -2*m**2 - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/2)\/(o*o\/o**(3\/8)))**(-4\/3)*o\/o**(2\/11)*o\/(o*o*(o\/o**2)\/o*o)*o*o*(o**(1\/6)*o)\/(o\/((o*o\/(o*o**(-1\/7)))\/o)) assuming o is positive.\nAnswer: o**(459\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 809981?\nAnswer: 809981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(350) + sqrt(350) + sqrt(350)*-1)\/(sqrt(2) - (sqrt(4)*-2)\/sqrt(2)).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -74 + 52. What is the smallest common multiple of (1 + 3)*(3 - c\/(-8)) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 239553.1 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 47792353?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -7, -35, 2, -2 in increasing order.\nAnswer: -35, -7, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (((-232)\/(-6))\/(-2))\/((-2)\/(-3)). Let h(b) = -8*b + 3. Let w be h(4). Are w and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6796.12 millimeters in nanometers?\nAnswer: 6796120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z**3 + 8*z**2 - 4*z - 32 = 0. What is z?\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 14017562 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 l, and 2 k when four letters picked without replacement from dllddlkllldklldl.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/78 + 161\/390. Let o be 3 + (-2)\/((-4)\/(-10)). What is the nearest to -1 in m, -1\/4, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 times 29101741?\nAnswer: 3201191.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7635681 is divided by 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -13, -19, -1, 53, 155, 317?\n\"Answer: 2*z**3 - 20*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 2. Let n be (6 + (-16)\/3)\/(2\/66). What is the first derivative of -r - 6 + n*r**2 + r - 25*r**u wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20.659 - 0.141. Let a = k + 22. What is a rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3*m + 1)*(0*m**2 - 4*m**2 + 3*m**2)*(-2 - 1 - m + 0*m).\nAnswer: 3*m**4 + 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-85 + -11 + 61)\/(35\/(-56))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.07, -0.2, 149, 4?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -292 + 273 - 16\/((-8)\/4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 5*o**3 - 68660*o**2 + 81517585*o + 163309850 = 0?\nAnswer: -2, 1315, 12419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -893 divided by -6313?\nAnswer: 893\/6313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 5*m - 65, -5*m + 55 = 2*x - 0*x. Suppose 0 = -v + 4 - 0. Solve -4*j = 4*i + x, v*i + j + 30 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of l**2\/2 - l - 5. Let a be o(-4). Which is smaller: -4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, b: 2}. What is prob of picking 4 f?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*f + 3*f - f - 4*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-74)\/(-6) + -1 - 19\/57. Suppose 48 = y*i - 18. Let h(o) = o**2 - 7*o + 9. Determine h(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 788\/197*8\/64*-98\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -168800 - -7?\nAnswer: -168782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 674?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -29386, -29385, -29384, -29383, -29382, -29381?\n\"Answer: z - 29387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 150, 165, 204, 279, 402, 585, 840?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of c**4\/34 - 2*c**3\/51 - 24. Factor l(z).\nAnswer: 2*z**2*(z - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11553516 divided by -3042.\nAnswer: -3798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*f - f + 0*f)*(4 + 1 - 1) + (9 - 2 - 1)*(-2 + 0 + 0)*(-2*f - 2*f + 2*f) + 3*f + f - 6*f - 3*f + 3*f - 8*f)*(-f - f - f).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -94.2  (b) -0.1  (c) -3  (d) -5  (e) -242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 + 2*n + 4. Let h be l(3). Let f(v) = 5*v**3 + 1. Let r be f(h). Find the first derivative of -r*m - 1 - 7 + 4 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-5))\/(((-1278)\/18)\/5822)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 13\/(-26)*18 - -10. Let h be ((-4)\/(-6))\/((-28)\/12). Which is the third biggest value?  (a) -4  (b) n  (c) h  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-24)\/(-420))\/((-5)\/50) + (-100)\/(-126). Put g, -3\/4, 4200 in decreasing order.\nAnswer: 4200, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20 + -5 + 7 + 3 + -13 - -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 2*g**2 + 11*g + 14. Let s = -3 + 4. What is the remainder when y(-7) is divided by s\/3 + (-53)\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-179249340)\/40 + (-2)\/(-4). Let c = -3918767 + y. What is c rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -10  (b) -0.2  (c) 0.051132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90248*u - 90105*u + 7611 = 2177 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 927130.7 milligrams?\nAnswer: 0.0009271307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7905*w**3 + 7909*w**3 + 591*w - 2*w**2 - 15823*w**3.\nAnswer: -9*w**3 - 2*w**2 + 591*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j + 7. Let c(d) = -197 + 94 + 102. What is 5*c(l) + q(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 - -26.2. Let o = -15 - z. Let s = -17.19999893 - o. What is s rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - 62\/18)*2\/4. Which is the closest to 2\/5?  (a) h  (b) -0.38  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 - 63*t + 61*t + 3*t**2 to l*t**2 + q + j*t and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 2020.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/135 and -56\/276075.\nAnswer: 276075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h**5 - h**5 + 2*h**5 + (1247*h**3 - 1354*h**3 - 1077*h**3)*(0 - 2 + 3)*(-4 + 4 - h**2).\nAnswer: 1182*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 107328580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 + -15. Solve -10*s + 3 = -l*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8366611 = -197*s - 920602. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -y - 3*o - 38, -3*y + 5*o = 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + 1 + 18 - (6 + (-67 - (5 + -8))).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*v - 4*d - 17, d + 4 = -2*v + 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1475 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 + (8 - 4))\/(5 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 43*y**2 - 1546*y - 68. Let h be l(36). Factor h*i - 36\/7*i**2 + 8\/7.\nAnswer: -4*(i - 1)*(9*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -2*n - 737 + 686, n + 28 = h. Which is the nearest to 17?  (a) 1  (b) 2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -444 - -440. Let z be ((x - 6)\/5)\/((-3)\/12). Solve 0 = 3*a + 2*h + 12, 2*a + z*h = 6*h - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46416 (base 10) to base 16\nAnswer: b550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 3:30 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3859931459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159 = 3*o - 25*k + 24*k, -2*o + 4*k = -126. What is the remainder when o is divided by (-2 - -2 - 4)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 101100110000001?\nAnswer: -101100110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + g**2 + 62. Suppose 0 = -2*j - 0*j. Calculate the remainder when l(j) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (11 + -14 + 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 253.045 hours to minutes.\nAnswer: 15182.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3990 is divided by 1991.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -14661910.59 rounded to the nearest 100000?\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10\/(-45) + (-870)\/(-27). What is the highest common divisor of f and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*k + 1704 - 2043 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 16 = m + 5*w, 4*w - 16 = -4*m. Which is the nearest to m?  (a) 0  (b) 0.23  (c) -0.3  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-4)*x**2)\/(x**(2\/13)*(x**(-3\/5)*x)\/x)*(x**5*x**(-5\/3))**36 assuming x is positive.\nAnswer: x**(7699\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6826 divided by 228106.\nAnswer: 3413\/114053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11946805634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21171492 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 12276.59 litres?\nAnswer: 12276590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 2*o = -5, 113*c + o = 116*c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-9))\/(22\/990*-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - 0)\/(418\/(-175978)). Solve 410*q - l*q - 44 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + 0. Find the second derivative of -12*m**a + 0*m + 5*m**3 - m wrt m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (58\/(-203))\/(6\/(-7)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 t, and 2 l when four letters picked without replacement from tttmllllmmtlllmmm.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -48a + -3?\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -198cce (base 15) in base 12?\nAnswer: -500512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -181 + 38*f - 17*f + 88*f - f + 77*f with respect to f.\nAnswer: 185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-175)\/(-49) - (-1)\/(-1 + -2 + 2). Factor -2\/7 + 24\/7*q**3 - 8\/7*q + 4\/7*q**2 - j*q**4.\nAnswer: -2*(q - 1)**2*(3*q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55 is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11 and 264.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 357 and 59262?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 289, 1117, 2493, 4417, 6889, 9909, 13477?\n\"Answer: 274*w**2 + 6*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-22)*5445\/(-825).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -464998 + 7*x**2 + 33*x**2 + 465000 + 2*x**3 to the form l + g*x + p*x**3 + u*x**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.93468ml to litres.\nAnswer: 0.01793468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46188*x - 46190*x - 4*y = 53 + 17, 21 = 3*x - y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -0*j - 2*j. Suppose j = -3*c - 3*c + 36. Suppose 29 - 5 = c*q. Solve -3*t - 15 = 4*z, -2*z + 19 = -q*t - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**3 - 2*n**3 + n**4 + 6*n**4 - 7*n**4 - 15*n**4 + (2*n - 4 + 4)*(-n**3 + n**3 + 2*n**3).\nAnswer: -11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*m + 95. Let h be 3*(2 - m\/6). Let o be (-9)\/(-6)*h\/6. Which is smaller: 1\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 8 = 38. Is (-9)\/v + (-20425)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32\/(-12)*(-3255)\/(-1063300)\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14.9353 + -0.0053. Let n = r + -15. Let j = -2.93 + n. Sort 0, -5\/2, j in descending order.\nAnswer: 0, -5\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of -l**3\/3 - 41*l**2\/2 - 121*l + 8594. Give r(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 546 and 1477138.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*o**2 + 1372 - 282 + 1384*o - 1386*o - 40*o**4 + 1435 wrt o?\nAnswer: -480*o**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.06089 to one dp.\nAnswer: -17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*x + 7*x = -40. Let c(t) = 23*t - 333. Let n be c(15). Put n, 14, x in increasing order.\nAnswer: x, n, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2142866917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*g + 51*z - 47*z - 38, 47*z = -4*g + 45*z - 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dfiwj. What is prob of sequence wf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -302 - 106 = -4*v. Calculate the remainder when v is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -936 = -74*d + 470 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 3, -4, 4 in descending order.\nAnswer: 10, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25 + 38.15.\nAnswer: 63.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o - 2. Let x be f(2). Suppose 5*b = -a + 6, -b - 3 + 1 = x. What is the lowest common multiple of 10 and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1500*0.5.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 divided by -165?\nAnswer: -26\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of f**5\/70 + 60*f**4\/7 + 14400*f**3\/7 + 1728000*f**2\/7 - 807*f. Solve l(y) = 0.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468)\/(sqrt(36)\/sqrt(3)) - sqrt(2496)*-1)\/((-2*sqrt(18)*2)\/sqrt(6)).\nAnswer: -9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 144807 (base 10) in base 14?\nAnswer: 3aab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 2)*(0*f + 5*f - f)*(7 - 7 - 5*f) in the form t + w*f**2 + p*f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 952*h - 1955*h + 766*h in the form g*h + c and give g.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1132 - -1218. What is the remainder when 147 is divided by b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l**2 + 0*l**3 - 2*l + 12 + 3*l**2 + 4*l + l**3. Let y be j(-5). Find the first derivative of -y*f + 0 - 2 + 10*f wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -83  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f**2\/f*f)**(-27)\/(f*f**6)**43)**(-2\/53) assuming f is positive.\nAnswer: f**(818\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 6:50 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.1  (b) -0.5  (c) -4  (d) 1.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 15, -5.\nAnswer: -5, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 PM and 2:58 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -6*h**2 - 2 + 1 + 0*h + 6*h. Let n be -5 + (-4)\/((2\/(-1))\/8). Suppose 17*r + 66 = n*r. Let q(d) = -17*d**2 + 17*d - 3. Calculate r*c(o) + 4*q(o).\nAnswer: -2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -129.8.\nAnswer: -129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - -4. Suppose -25 = -o + 4*m, -2*o - m - 4*m + 11 = 0. Suppose o = 5*j - 17. What is the highest common divisor of j and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 2, 0.1, 242, -3, 0.3, 891 in decreasing order.\nAnswer: 891, 242, 2, 0.5, 0.3, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3799 is divided by 389?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 81\/36 - (3 - 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154*u + 85*u = -110262. What are the prime factors of u?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lppl when four letters picked without replacement from lppplll.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 528*b**2*c + 3*b**2*i**2 - b*c*i**2 - 3*b*c*i + 825*c*i**2 - i wrt i?\nAnswer: 6*b**2 - 2*b*c + 1650*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 29\/(-104) + 1\/8. Suppose 3*l - 6 = -3. Let t be l\/(-3) + (-5)\/(-30). What is the biggest value in 0.5, h, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9488, -38368, -86638, -154298, -241348, -347788, -473618?\n\"Answer: -9695*a**2 + 205*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*u = -49*u - 105 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2 + 0 + (-4 + 5 + 1)*(-3 + 0 + 4))*(143 + 30 - 771)*(-2*p + 0 + 0) to the form c + d*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.618 minus 0.06?\nAnswer: -3.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x**2 - 5*x**2 - x**2 + 3.\nAnswer: -2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -4*p + 2. Let c(u) = u - 1. Let b be (-24)\/14 - (-12)\/(-42). Suppose -59*d = -57*d - 62. Let n = 25 - d. What is b*o(i) + n*c(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (15984\/(-370)*(3 + -2))\/(30\/100)\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - sqrt(52)) + -2 - (0 + sqrt(637)).\nAnswer: -8*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -106*w**2 - 45*w**2 - 157952*w + 157952*w.\nAnswer: -151*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17479077 - -2?\nAnswer: -17479075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2162 - 21617\/10. Factor r*n**3 + 0 - 1\/10*n**2 - 3\/10*n**4 + 0*n + 1\/10*n**5.\nAnswer: n**2*(n - 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-10) - 408\/(-270). Factor -v*n - 2\/3*n**2 - 4\/9.\nAnswer: -2*(n + 1)*(3*n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/120 and 113\/28.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -s**3*w - 173637*s**2*w**3 + 4*s*w - 7*s + 8*w**3 - 6 wrt s?\nAnswer: -6*s*w - 347274*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (73 - 11) - (4 + (3 - (-6 - -7)))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 1:50 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 251*v**4 - 2*v**3 + 2*v - 68.\nAnswer: 3012*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -96546 >= -96545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 - -26. Calculate the greatest common divisor of 24 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, d: 18}. What is prob of sequence cd?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/13 - 1350*k\/13 + 168988\/13.\nAnswer: 2*(k - 509)*(k - 166)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1557 and 593044.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.01 times 0.1?\nAnswer: 5.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19863 + 84*y + 19870 - 83*y - 39733.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5602 - 5602 - 118*t)*(4*t**2 - 4*t**2 - 2*t**2)*(-2*t + 0*t + t) + (-t - 2 + 2)*(-9*t**3 - 5*t**3 + 5*t**3) + 1 - t**4 - 1.\nAnswer: -228*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - -104)\/(4 + -3). Suppose -6*y = -44 - n. Suppose c = -4*c + y. Solve 9 = -3*v - 5*k, -4*v + 3*v + 17 = -c*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**5\/4 + 461*o**4\/4 - 1348*o**3 + 401*o**2 + 21488*o + 28736 = 0.\nAnswer: -2, 8, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -13. Let f = -14 + o. Which is the smallest value?  (a) 2\/11  (b) -3\/2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of -3*k**5\/5 + k**4\/2 - 7*k. Find the third derivative of q(u) wrt u.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r. Let y be ((-4)\/(-8))\/(3\/318). Let f(c) = -49*c + 2 + 97*c - y*c. Let s(d) = f(d) + 6*t(d). Determine s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 8*p - 9*p + 3*p. Let o(x) = -17*x - 2. Suppose 5 = 5*l + 10. Let m(q) = q + 1. Let t(f) = l*o(f) - 2*m(f). Give t(b(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/1496 or 0?\nAnswer: 3\/1496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -123*j + 682. Let c be o(5). What is the greatest common factor of c and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p - 7*p + 2*b = -13, 3*p - b - 19 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.69992 and -0.262?\nAnswer: -0.18337904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g - 12. Let u be v(-8). Suppose w - 5*q = 23, 16 = u*w - 2*q - 4. What is the units digit of 55\/4 + w\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in d**4 + 370*d**3 - 3*d**2 - 1108*d + 740 = 0?\nAnswer: -370, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -3*u - 20. Let p be b(-8). Suppose t = 4*t - 3, 4*t = -p*v. Let x(n) = 15*n**3 - 2*n**2 + 1. Calculate x(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 290 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 80354827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3237474029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s**2 + 14*s**2 - 10*s**2 + 606*s**3.\nAnswer: 606*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 6 = c. Let b(s) = 3*s**2 + 13*s + 27. Let z be b(-3). Suppose 6*r - 15 = 3*r + f, 5*f = -z. Solve -d + 3*i + r + 1 = 0, 15 = 3*d + c*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of 0*x**3 + 71*x + 0*x**4 - 49 - 33\/5*x**5 + x**2. Differentiate z(b) wrt b.\nAnswer: -132*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2.5 and -0.0910952106373.\nAnswer: 2.4089047893627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.4  (b) 25  (c) -0.32  (d) -2  (e) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 23627 (base 9) to base 8\nAnswer: 36714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 293, 139, -15, -169, -323?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 434*w - 22952. Determine i(53).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*c - 3*h = -50*c + 16, 3*c + 2*h = -19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 - 5*h**2 - 2*h + 8. Let q be g(6). Let w = q + -14. Calculate the remainder when w is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 158924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150*g + 359565 = 129*g - 264*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -1549, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2*n - 1)*(-3475 + 3475 + 9*n) - 2*n**2 + 3*n**2 - 2*n**2 in the form l + i*n + p*n**2 and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -53*i**3 + 20*i**2 + 109*i - 23. List the prime factors of t(-5).\nAnswer: 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2517 divided by 4\nAnswer: -2517\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d - 3*d - 3*d**2)*(-3 + 2 + 2) - d**2 + 145 + 0*d**2 - 122.\nAnswer: -4*d**2 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3697 is divided by 283.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r - 35. Let l be p(11). Let o = -48\/5 + l. Sort o, 4\/9, 0.1 in descending order.\nAnswer: 4\/9, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/6 - (3 - 2). Let s be (-6)\/2*(-3 - r). What is the third derivative of 11*i**2 + 0*i**2 + 8*i**2 - 10*i**s wrt i?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -196116889 from 0.7.\nAnswer: 196116889.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/978692 and -81\/290.\nAnswer: 4893460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (24\/(-14))\/(26\/(-10010)*10) is divided by 6 + (-3 - 0) + 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1061309*q**2*y**2 - 2*q**2*y - 13*q*y**2 - 1332*y**2 - 2*y - 2 wrt q?\nAnswer: -2122618*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.05 and 70.5814614.\nAnswer: 70.6314614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -12, -1, -4\/5, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 4)*(10 - 5 - 3 - 8*i).\nAnswer: -40*i + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 7, 26, 59, 106?\n\"Answer: 7*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/(h\/(h*h*(h\/h**(-1))\/h*h))))\/h**(-13))\/(h**10)**(6\/35) assuming h is positive.\nAnswer: h**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 592.1293ml in litres?\nAnswer: 0.5921293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 539\/(-22)*(-24)\/182. Let i = -2785 - -2787. Is i bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8.19 - -8.09. Is v > 1.74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i - 10. Let p be k(5). Suppose -5*l = -0*l - 20. Let g = 101\/12 - 26\/3. Which is the closest to g?  (a) 2  (b) p  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - f = -17 + 7, 0 = -5*v - f + 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 11 = -5. Suppose -2*q = f + 3*f - 34, 4*q - 44 = -4*f. Let c be ((-7)\/21)\/((-1)\/f*2). Solve -g*n + c + 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4929813, 4929812, 4929811, 4929810?\nAnswer: 4929809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2266\/7 or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4924, -3848, -2772, -1696?\n\"Answer: 1076*r - 6000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 102244804 + -188277071. Let a = r + 86032284.0000062. Let u = 17 - a. Round u to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 34258 - -62?\nAnswer: 34320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of d**3\/3 + 5*d**2 + 11*d + 2. Let t be x(-9). Solve -9 = t*f - 3, -q = f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 101910487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -a**7\/840 - a**5\/120 - a**4\/12 - 4*a**3\/3 + a + 37. Let j(m) be the third derivative of f(m). Calculate j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/3*156\/(-104).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -812  (b) 5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10223 + 6?\nAnswer: 10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*m**2 + 4*m**2 - 7*m**2 - 6*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 413721 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -202345, -404901, -607447, -809977, -1012485, -1214965?\nAnswer: -1417411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i = -10*i - 18. Suppose 81 + 126 = i*g. Solve -4*x + g = 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/4)\/((-2)\/12). Let a(k) = -2*k**2 + 8 - 6*k + 14*k + k**2. Let o be a(d). Which is smaller: o or 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61856 is divided by 3866?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 36237*q**3 - 2090*q**2 + 417300806?\nAnswer: 108711*q**2 - 4180*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10358 and -4.009035763.\nAnswer: -10362.009035763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1090897261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 + 0*d**2 + 8*d**2)*(-18*d + 6 - 6)*(d - 2*d + 3*d)*((-3 + 2 + 0)*(2 - 6 + 6) - 1 + 1 - 2).\nAnswer: 864*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4745 and -0.02889?\nAnswer: -137.08305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -7167606210 rounded to the nearest one million?\nAnswer: -7168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 2.7. Let p = 3.1 - 3. What is the nearest to p in 1, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 3700 + 44 = 0. Let m = n - 1248. Find z, given that 1\/4*z**2 + 1\/2*z + m = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/3*(-27)\/(-18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -2*s**3 + 8*s - 1. Let r(q) = 3*q + 7 + 10 + 1 - 2. Let g be r(-8). Is x(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 514355131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -79*a**6 + 10*a**3 + 2482*a**2 wrt a.\nAnswer: -9480*a**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-108)*-9)\/(16\/(-56))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that f**5\/5 + 4*f**4 - 461*f**3\/5 + 2192*f**2\/5 - 1808*f\/5 - 896 = 0.\nAnswer: -35, -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzyz when four letters picked without replacement from {y: 4, z: 6}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i + 450 = 43*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3417543?\nAnswer: 3, 379727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of 2*h**3\/3 + 1824*h**2 + 4401*h - 1012. What is the first derivative of g(u) wrt u?\nAnswer: 4*u + 3648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 24 = -o, 32 = -2*o - 15*w + 11*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000738542 rounded to seven decimal places?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes before 7:30 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 110185821181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3371342213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 2 - 10. Suppose -w + 9 = -2*g, -r*w + 6*w + g = 36. What is the remainder when 15 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 82944 and 3264?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(363) + 2*sqrt(363)*-6 + -4 + -1*sqrt(363)*-2 + 4*(0 + sqrt(363)))*1.\nAnswer: 20 + 275*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -3*z**5 - 9*z**4 + 27*z**3 + 69*z**2 - 72*z - 108 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44442 is divided by 694.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -3*v - 2*v**2 + v**2 + 5*v**2 + v**3. Let p = 2312 + -2316. Determine d(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o**2 + o + 256. List the prime factors of l(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence htt when three letters picked without replacement from {h: 6, t: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, u: 1, a: 1, f: 1, o: 1}. Give prob of sequence azua.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/36 - 7*14\/(-441).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.46702 - 0.47. What is f rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 471 - 267. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.22508 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -126*z - 130. Calculate s(-7).\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70947077?\nAnswer: 70947077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-1\/17)*y**(-10) assuming y is positive.\nAnswer: y**(-171\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.12588 - -0.02565. Let b = 11 - 10.9. Let d = b + i. What is d rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69530*o**2 - 66*o + 66*o - 6696*o**2.\nAnswer: 62834*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 499*c = 455*c + 1540 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 2835115?\nAnswer: -1\/567023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 586067823 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 4*x + 464, -7 = 4*x + 5. Let g(k) = v*k - 75*k - 60*k. Let j(y) = -14*y. Calculate j(g(m)).\nAnswer: 224*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -7.223 from 0.3.\nAnswer: 7.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12289.000029195 - -12289. Round r to 7 dps.\nAnswer: -0.0000292","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.161 or 32673?\nAnswer: 32673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 8:32 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -120 - -1?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is l in l**2\/2 - 402231*l\/2 - 28367226 = 0?\nAnswer: -141, 402372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -88 - -96.3. Let p = r - 8. Sort -3, -4, p in increasing order.\nAnswer: -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2\/4 - 165273*u\/4 + 2478645\/2.\nAnswer: (u - 165243)*(u - 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33184 is divided by 16518?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 21679\/39657 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -29098104*s - 15432807?\nAnswer: -29098104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3012 (base 7) to base 12\nAnswer: -726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23204 - -69541. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from odydiydayyy. What is prob of sequence yydy?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*v - 51*v = -125. Let j(y) = -21*y**2 + 1. Let k be j(-1). Put k, -2, v, 5 in descending order.\nAnswer: 5, -2, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3*r**2 - 2*r - 1. Let i(u) = 272*u**2 - 645*u - 4. Let k(h) = -i(h) + 4*t(h). What is the second derivative of k(p) wrt p?\nAnswer: -520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2533 by -2533.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-36)\/(-441)*(7\/6)\/1. Let m = -7\/18 + 127\/234. What is the second biggest value in m, s, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*g = -37*g - 4*s + 6, 2*s = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 125797*f**2 - 1076735 wrt f.\nAnswer: 251594*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert c432e (base 16) to base 6.\nAnswer: 25120302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -5*q + 15805, -45*q - 9466 = -48*q - u. What are the prime factors of q?\nAnswer: 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + 2*k**2 + k + 1. Let m = -10 - -10. Suppose t + m + 1 = 0. Let r be d(t). Sort r, 4, 5 in descending order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*2*57\/6 + 2. List the prime factors of (-1 + 45\/(-2))*s + 5.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 58\/1145 and 77\/6.\nAnswer: 6870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6306215 divided by -5?\nAnswer: -1261243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 406.6 + 4?\nAnswer: 410.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a hour in seconds?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 - -0.7. Let k = -2.9 + 2.2. Let b = k + d. What is the biggest value in 2, 0, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 5)*(4*d + 3*d - 10*d + (13*d - 18*d + 23*d)*(-5 + 1 - 1)).\nAnswer: 93*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 948807 is divided by 685?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3777, 3793, 3833, 3909, 4033?\n\"Answer: 2*v**3 + 2*v + 3773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5145 (base 7) to base 10\nAnswer: -1797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of q**8\/168 + 179*q**6\/120 + 407*q**4\/8 - 2390*q**2. Find the second derivative of b(s) wrt s.\nAnswer: 40*s**3 + 1074*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -145 - -143. Let y be (((-423)\/(-12))\/(-3))\/(s\/8). What is y rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = 5*c - 35, -4320*l + 3*c + 11 = -4316*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*q + 22*q - 50. Let b = 13 - q. Solve -5 = -2*w - b*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 8*p + 4. Let q(z) = -7*z - 3. Give 4*j(o) + 5*q(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 219 - 72 = 0. Let u = -317 - -352. Calculate the remainder when l is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1020, 1992, 2958, 3918, 4872, 5820, 6762?\n\"Answer: -3*l**2 + 981*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4731 by -1577.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n**2 - 28*n + 35. Let x be l(-15). Let h(a) = a - 2. Let o be h(x). Solve -y = -o*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 25*b - 130. Suppose -u - b*y = 21, 0*y = -5*u - 4*y. Calculate the greatest common divisor of u and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.09 - -0.99. Let m = -4.2 + 4.28. Let z = m - s. What is the closest to z in 0.5, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 10.11823 litres?\nAnswer: 10118.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -14*t**2 + 1855*t + 928. What is w(133)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 829214214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-101)\/70 - (54\/(-30))\/(-9) and -149\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 10*g**2 + 5*g + 1. Let z(m) = -56*m - 5877. Let a be z(-105). Let c(o) = 11*o**2 + 4*o + 1. What is a*c(b) - 2*s(b)?\nAnswer: 13*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -168, -322, -480, -642, -808, -978?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 11*m**2 - 7*m + 8. Let u be j(-6). Suppose -125 = -141*c + 116*c. Suppose u = c*d - 324. Calculate the greatest common divisor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 4*t + t = 0, 2*v - t = -9. Let x = 3.2 - 5.1. Let d = 0.1 - x. Which is the second biggest value?  (a) 0  (b) d  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**4 - o**3 - o**2 + 1. Let q = 994 - 989. Let h(m) = 3*m**4 - 5*m**3 + 8*m**2 - 2. Let r(a) = q*h(a) + 10*n(a). Find i, given that r(i) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 20 + 46 = 0. Let x = g + 26. Let i(f) = 199*f + 1. Is i(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 + 4*a**2 + 4*a + 7. Let o(i) = -3*i - 47. Let p be o(-17). Let u be w(p). Differentiate 19 + 19*z**3 + u - 53 with respect to z.\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v - 2390 = 2*v. Let u = -219 - v. What is the remainder when u is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14\/89 - 248\/445. Sort -3, t, -12.\nAnswer: -12, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13 + -14 - (-2)\/(-3))*186\/5.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 36067775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3581134771 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*j + 170 - 840 - 626 = 0 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 11 = -4*u, 3*u - 2*u - 3*r = -11. Let h be (-2 - 7) + 2\/u. Let k be h\/75 - (-1322)\/15. Calculate the greatest common divisor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-78)\/(-65))\/((-14)\/(-5))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 11*w**2 - 12*w + 2. Let h be o(-12). Let b be (-6)\/(h + -4) - 1. Find z such that -4\/3 - 22\/3*z**3 - 6*z - 10*z**b - 2*z**4 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/4*1 + 140\/112. Let x = 0.2 - 0.1. Which is the nearest to x?  (a) -5  (b) w  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 44873741*g**3 - 202012*g**2 - 9*g + 5 wrt g.\nAnswer: 269242446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - -92491920.54.\nAnswer: 92491919.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (5*sqrt(448)*-2 - (sqrt(448) + 5*1*sqrt(448))) + -1)**2.\nAnswer: -256*sqrt(7) + 114689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 5290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1958 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.2 - 0.6. Let h = -0.4 - -3.4. Which is the biggest value?  (a) h  (b) x  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3190 = -5*r - 5*p, -2015 - 1169 = -5*r - 2*p. Calculate the highest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -665, -1, 1, 0, -36 in decreasing order.\nAnswer: 1, 0, -1, -2, -36, -665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**3 - 2*a**2 - 2*a - 4. Let h be y(4). Suppose -260 = 46*i - 812. Calculate the highest common factor of i and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 4561 in descending order.\nAnswer: 4561, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 13458687 a multiple of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -108 - -107.6. Let d = -126 - -132.15. Let n = z - d. What is n rounded to 1 dp?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 4*v - 3. Let f(t) = 12*t - 8. Let o(n) = 4*f(n) - 11*j(n). Suppose 0 = -q - 9 + 10. Let y(r) = -r - 1. Give q*o(m) + 3*y(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-49)\/((-490)\/(-130))*2*(-3)\/1833?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157504 is divided by 81?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (17 - 19) + 27 - 7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/16 - (-8483)\/136. Suppose -2*u + w + 9 = -l, 51 = 2*u + 3*w. What is the least common multiple of 9 and u?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*u**2 + 5295*u - 21132 = 0. Calculate u.\nAnswer: 4, 1761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 4 = 0, -4*g + y - 210 = 2906. Let j = g + 4949. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of z**6 - 62*z**4 - 5*z**2 + 67*z wrt z?\nAnswer: 120*z**3 - 1488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b3269 (base 13) in base 2?\nAnswer: 10101001000100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 r, 1 g, and 1 v when four letters picked without replacement from qrgggcrryqyqyqqrrv.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n - 4. Let y be i(-3). Suppose 4*g + 14 = y*v - 3*v, -5*v = 4*g - 7. Let o = v + -1. Solve 0*h - 8 = -o*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2887363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*f - 7*f - 38*f - 225 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166036899.\nAnswer: 3, 7, 31, 255049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 2*o + 11*o + 9*o. Solve -2*v - b + 5 = o, 3*v - 2*b + 15 = 8*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.248 + 0.448. Which is bigger: 87 or m?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -41  (b) 0.062  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 860841 divided by 1\nAnswer: 860841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 109260894 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 488013 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1089 + 0.0089. Suppose -v + 5*s - 18 = -0*v, 0 = 2*v - 5*s + 16. Which is the closest to 0.1?  (a) 1\/19  (b) v  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0114*-2405.\nAnswer: -27.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65141, 130279, 195417, 260555, 325693, 390831?\nAnswer: 455969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12)\/90 - (-334)\/30. Suppose -4*l - j + 99 = 0. Suppose 1 = -3*o + l. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ufff when four letters picked without replacement from ffyffufffffuyffuffyy?\nAnswer: 143\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*o + 220377 + 1723564 = 15078. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of -207*w**6\/10 - 79*w**5\/30 + w**4\/8 + 741*w**2 - 4. Find the third derivative of s(a) wrt a.\nAnswer: -14904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19724 is divided by 6485?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1*((684\/126)\/19 + 158\/(-14))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5045540 (base 7) to base 12.\nAnswer: 24b165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 4.\nAnswer: -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 6 + 3)*(0 - 5 + 1) - 3 + 1 + 4 - 3 - 3 + 5 + 0 - 1 + 4)*(-8 + 8 + 7*o) to the form v + l*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of 0*d**3 + 0*d - 1\/168*d**8 + 0*d**4 + 1\/60*d**6 - 2*d**2 - 1\/105*d**7 + 1\/30*d**5 + 0. Factor y(v).\nAnswer: -2*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 245304 divided by -65?\nAnswer: -245304\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p**2 + 10*p**2 - 59*p**2 - 5*p**2. Let q(z) = 2*z. Calculate q(i(c)).\nAnswer: -112*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 230638 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 445 a factor of 2742506967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129032 is divided by 82?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 PM and 10:36 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2258\/4516*50\/((-2)\/2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-57)\/(-45)*(-210)\/(1218\/(-87)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5961807 divided by 662423?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2191 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*3\/(-18)*0. Let c(s) = s + 1. Let b(w) be the third derivative of w**3\/6 - w**2. Let a(t) = 3*b(t) + c(t). Give a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 5 + 0 + (0 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -592.345383 rounded to the nearest integer?\nAnswer: -592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**(-5\/2)\/f))\/((f\/(f*f**21*f*f))\/f) assuming f is positive.\nAnswer: f**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h + 3 + 32*h**2 - 43*h**2 - 5)*(8*h**3 - 4*h**3 + 4*h**3).\nAnswer: -88*h**5 + 32*h**4 - 16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 829574, 829575, 829576, 829577, 829578, 829579?\n\"Answer: x + 829573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -6*o + 9. Let l(p) = -2*p + 3. Let h(r) = 3*d(r) - 8*l(r). Suppose -4 = v - 3*v + 2*t, 0 = 5*v + 2*t - 10. Determine h(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*i - 3*b, -i + 5*b - 17 = 6. Let z be 5\/i + 1\/(-2). Let q be 4\/2 - z - -4100000. What is q rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c + 22. Calculate u(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -111, -235, -399, -597?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1403 + 711. Let r = q - -692.000782. What is r rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -371 = -43*q - 156 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -2 + 10. Suppose 708 = 2*r - 3*i, g*r + 1388 = 8*r + i. Is r\/10 + (-1)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of -8*a**3\/3 - 4*a**2 - 7*a + 8. Let u(z) = -7*z**2 - 7*z - 6. Suppose b - 10 = c - 0, -3*c - 5*b = 6. What is c*u(x) + 6*h(x)?\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/147591 and 13\/93?\nAnswer: 147591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*m - 1 + 1 + 24*m.\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*y**4 - 3*y**4 - 8*y**4 - y**4 + 0*y**4 - y**4 + (0*y + 2*y**3 + 0*y)*(-1 + 1 + 2*y) - 2*y**4 + 3*y**4 + 2*y**4.\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 12. Suppose 0 = -0*r - r + u. Solve -m + r - 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4559 = -2*k - 3921. Let j = k - -7173. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 343 divided by -15613.\nAnswer: -343\/15613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 53528, 107209, 160876, 214523, 268144?\nAnswer: 321733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2  (b) -0.06  (c) 5\/6  (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*v**2 + 61*v**2 - 140*v**2.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, w: 1, n: 4, s: 5}. What is prob of picking 1 s and 1 w?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102212000 + 1112202?\nAnswer: 111101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -12*o**2 - 35*o. Let h(f) = 10*f**2 + 28*f. Let c(b) = -5*h(b) - 4*l(b). Let j(y) = -5*y**2 + 2*y + 117. Determine j(c(r)).\nAnswer: -20*r**4 - 4*r**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 20 = -8*a + 5*g, 0 = 5*a - 4*g + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 - 7*k**2 + 7*k + 4. Let f be s(7). Suppose 2*m - m - z - 7 = 0, f = 5*m + 4*z. List the prime factors of ((-8)\/(-2))\/(6\/m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(448)*1 + sqrt(448) + sqrt(448) + (-1 + sqrt(448))*3 + 4 - (sqrt(448) + -5*1*sqrt(448))*3*-5)**2.\nAnswer: -864*sqrt(7) + 1306369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*u - 350 + 402 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 11*k = -1224710 + 1224682, 0 = -5*j + 5*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 567159526 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 1)*(9*t**5 + 0 + 1 + 0*t**5).\nAnswer: -27*t**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/28 - 101\/308. Calculate the common denominator of 10\/6 - 2154\/1152 and p.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7447 by 80.\nAnswer: -7447\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = t - 5*n - 25, 10 = 5*t - 2*n. Which is bigger: -2\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/135 and -121\/3650.\nAnswer: 98550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23366 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*v**5 - 23*v**2.\nAnswer: 900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84172.75 nanograms to tonnes.\nAnswer: 0.00000000008417275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.99 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*g - 40*g - g - 713*g**2 - 79 - 87 + 155 wrt g.\nAnswer: -1426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 12*u**2 + 6*u + 35. Let y(b) = 4*b**2 + 2*b + 12. What is -6*r(p) + 17*y(p)?\nAnswer: -4*p**2 - 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -67*d - 15490. Calculate k(-231).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 + 24*k - 77. Let a be y(3). Suppose -5*m = -18 - 2, 2*i + 62 = 5*m. Let q be (-6)\/i + 95\/35. Is q greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-14))\/(6\/(-24))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from awwwaawaww. Give prob of sequence aw.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 - 49 = 2*g - 6*x, -2*x + 55 = -9*g - 0*x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 26*p**3 + 0 + (4*p - 2*p - 4*p)*(-2*p**2 - 2 + 2) to the form r*p**3 + s + m*p + f*p**2 and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - -17 - (-52 + 94) - -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2164*s**5 - 2165*s**5 + 165*s**6 + 3571*s**2 + 1157*s**2 + 4328*s**5 wrt s.\nAnswer: 19800*s**3 - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14812 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: What is the greatest common factor of 15 and 2820?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*(-1)\/15*20\/(-12). What is the closest to -1\/240 in -5, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37237, -37173, -37109, -37045, -36981?\nAnswer: -36917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 + 3. Let s(m) = 1. Determine -4*q(g) + 12*s(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4277, -8585, -12929, -17327, -21797?\nAnswer: -26357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5322*i**2 - 5342*i**2 + 15431*i**2 - 4766*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 235471?\nAnswer: -235471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9041, -4, 3.\nAnswer: -4, 3, 9041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 4)*((-5 + 5 + 2*w)*(-2*w - w + w) + 8*w**2 + 7*w**2 + 5*w**2).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4367 - 4359) + 0 + -17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 14\/(-7) + (1 - 6). What are the prime factors of (-188)\/(-28) + (-2)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 2*q + 7 = 0, -3*x + 5*x - 2*q = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3625866 >= 3625839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/40 + 49\/5. Let n = -15 - -69. What is the remainder when n is divided by (-8 + r)\/((-1)\/(-7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23502 - 16991 - 31117 = -682*m for m.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 (base 15) in base 12?\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/4 + (-17)\/4. Let d = -308.5 - -308.2. What is the closest to 2 in a, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 98*v**4 - 17612*v**3 - 1640126*v**2 - 28858960*v + 101805600 = 0.\nAnswer: -260\/7, 3, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -14994*l + 15016. Give s(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 2507 divide 666277869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 26b93 (base 12) to base 4\nAnswer: 31010133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -15, -71, -3, 0, 4, -4 in decreasing order.\nAnswer: 8, 4, 0, -3, -4, -15, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or -9\/70?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1376704 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 - v**2 + v - 1. Let b(o) = 15*o**3 + 6*o**2 - 5*o + 7. What is b(k) + 5*p(k)?\nAnswer: 10*k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 25*h**2 - 178*h - 4930. Give o(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(204) - -3*-2*sqrt(204))\/(sqrt(1728)*-2) - 5*(1 + sqrt(1088) - sqrt(1088))*-5)*-3)**2.\nAnswer: 375*sqrt(17) + 360425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60660 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 68\/34*(-99)\/(-154)*-5?\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 4*g - 449 + 358 = 0. Solve 2*c - 24 = 9*m - g*m, 2*c = 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 y, and 2 p when four letters picked without replacement from hhpyplplylhy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 19*y + 3. Let r(h) = 1. Give -5*r(z) + s(z).\nAnswer: 19*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a = -3*b + 4*a + 24, -b + 12 = -a. Which is smaller: b or 19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -6 + 1 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 + v**2 + v**2)*(-113*v + 295*v + 136*v) + 4*v**3 - 4*v**3 + 2*v**3.\nAnswer: -316*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 5*w - 7*w - w - 3*w**2 + 11*w**3 - 9. Is f(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -0.22136\nAnswer: -0.66408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 611*c + 302*c + 282*c - 184*c - 33*c to the form i + w*c and give w.\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -131961, -262958, -393955, -524952?\nAnswer: -655949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000057097 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 2371.1 to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10.99015 - 11.02. Round w to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 0*b + b - 12, -5*a = -3*b - 32. Sort -1, -3, a in decreasing order.\nAnswer: a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2174.54791 to the nearest ten.\nAnswer: -2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*w - 16 + 4*w**3 - 2*w**3 - 11 + 27.\nAnswer: 2*w**3 - 54*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -2. Suppose -7*f + 9*f = 2*g - 8, -2*g = 0. Let o be f*(-16 + 14) + 0 + -4. Solve t = -o*p + 21, k*p = 5*t + p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/4)\/(2\/(-4)). Which is the nearest to 1?  (a) 3  (b) 4\/7  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxtq when four letters picked without replacement from pxwtwwwpttpwxxwwtwq?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 21 in 208, 68, 0.013?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88880, -177762, -266644?\nAnswer: -355526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y - 4. Let k(x) = -2*x**2 + x + 6. Let l be k(-2). Calculate o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*g**3 + 3*g**3 + 3*g**3)*(-5*g + g + g) - g**4 - g**4 + 3*g**4)*(-395*g + 196*g + 197*g).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -804, 3, -5 in ascending order.\nAnswer: -804, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/(f**(-3)\/f))\/(f\/f**(-3)*f))**(11\/3) assuming f is positive.\nAnswer: f**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2545?\nAnswer: 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-6)\/q)\/q**7)**(3\/26)*(q**1*q\/(q*q**(-1\/4)*q*q))**43 assuming q is positive.\nAnswer: q**(-1761\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -110100101100010 (base 2) in base 12?\nAnswer: -13742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*1\/(-12)*(-8)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*s - 2*a, -4*a + 8*a - 4 = 0. Solve -5*q + 10 = o - s*q, q - 2 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -5*(-2*(0 + sqrt(684)) - ((sqrt(684) - (sqrt(684)*1 + sqrt(684)))**2 + -5)).\nAnswer: 60*sqrt(19) + 3391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, o: 7}. What is prob of sequence ozo?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2*h + 2 = 0, -6*h = 3*l - 2*h + 8. Let -3*k**3 - k**l + 2*k + 0*k**3 + k**5 + 0*k**4 - k**2 + 2*k**4 = 0. Calculate k.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 324 and 96.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/36 or -84?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 - 4*i**2. Let c be 6\/(-1)*(-6)\/4. Let q(s) = -4*s**3 - 15*s**2 + s + 1. Let g = -321 - -319. Let a(b) = c*p(b) + g*q(b). Give a(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2320  (b) 3  (c) 1\/7  (d) 32  (e) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -4*g - 8. Let k(h) = h + 1. Determine 5*k(y) + l(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 16. Let b = z - 6. Differentiate -b - 2*h**4 + 0 + 5 - 2*h**4 wrt h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 11:26 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**3\/5 - 21*h**2\/5 - 12*h\/5 + 36\/5.\nAnswer: -3*(h - 1)*(h + 2)*(h + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 0)*(-6 + 1 - 3*j + 6).\nAnswer: 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 104017.64 times 0.92?\nAnswer: 95696.2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z\/z**(6\/7)))**(-9\/8))**27 assuming z is positive.\nAnswer: z**(243\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from htttttttfttttthtt. Give prob of picking 2 t.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1207747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 6*s + 35. Let m(x) = x + 6. Let t(j) = 6*k(j) - 34*m(j). Let o = 6 - 1. Suppose 0 = -0*g + 4*g + 5*q, q - 29 = o*g. Determine t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, l: 2}. Give prob of picking 1 v and 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -288  (b) 8\/3  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -20787 less than or equal to -270220\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 264591 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**2 + 2*c**3 - 3*c**2)*(c + 0*c + 0*c) + 21*c**4 - 42*c**2 - 46*c**2 + 90*c**2 + 2.\nAnswer: 23*c**4 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 - 15*i - 7. Let o be w(-14). Let q be ((-32)\/(-4) + 4)\/(26\/o). Is q smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -366627869*d**3 + 200925588*d**2.\nAnswer: -2199767214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178*g - 130 = -3*w + 177*g, 0 = 2*g + 4. Let c be (4\/(-10))\/(2\/(-100)). Let j be (1 - c\/6)*-132. What is the greatest common factor of w and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-219)\/2)\/((-99)\/264)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62.28509ml to litres.\nAnswer: 0.06228509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.1, -3, 1628, -2\/37 in increasing order.\nAnswer: -3, -1, -0.1, -2\/37, 1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 62 divided by 36\nAnswer: 31\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 64\/1654135 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -1 + -3 + (3 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 19*y + 54. Let s(i) = 21*i + 59. Let j(z) = 9*s(z) - 10*v(z). Let o(h) = 3 + 4*h**3 + 3*h - 5*h**3 - 5*h**2 + 0*h. Let u be o(-5). Determine j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 times -0.014?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 5*f - 5*f. Let z(a) = 0*a + 3*a - 4*a + 0*a. What is z(q(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*g + 2*g + 0*g)*(-67 + 67 - 36*g).\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*n**4 + 2*n**3 + 127900*n**2 + 3306*n - 810?\nAnswer: -84*n**2 + 12*n + 255800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 9 = -5*g, 5*g + 13 = 5*b - 2. Let p(h) = -h**2 - 2. Let f be p(0). Let n = f + 0. Put g, 1\/3, n in decreasing order.\nAnswer: 1\/3, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/9  (b) -2\/7  (c) -0.5  (d) 295.06  (e) -0.3  (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 509 divided by 6?\nAnswer: 509\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 4) to base 13\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (230*r + 139*r + 170*r + 91*r - 59*r)*(-3*r**2 - 6 + 6) as j*r**2 + x + b*r**3 + o*r and give b.\nAnswer: -1713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -17*h**3 - 340*h**2 + 6*h + 168. Give p(-20).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-76)\/(-140) - (-3)\/(-21)) + 49\/(-35). Let w(c) = 6*c**3 - 4*c**2 + 3*c + 5. Let k(n) = n**3 - n**2 + 1. What is u*w(m) + 4*k(m)?\nAnswer: -2*m**3 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1380a (base 11) to base 12\nAnswer: b424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 5*g - 665, -1 + 6 = g. What is the highest common divisor of f and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -3*d**2 - 2*d - 3. Let r(a) = -5*a**2 - 5*a - 6. Let t(m) = 7*n(m) - 3*r(m). Let q(s) be the first derivative of t(s). Give q(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -1. Let x = o + 2. Suppose x*y = 34 + 51. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 less than -5905.633255?\nAnswer: -5905.543255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147249 is divided by 441.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u + 13*u - 4*u + 12*u + 1 + 23*u.\nAnswer: 47*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -11*z**4 - 3*z**3 + 19*z. Let k(d) = d**4 - d**3. Let l(o) = -b(o) + 3*k(o). What is the second derivative of l(u) wrt u?\nAnswer: 168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 + 64*g - 535. Let r be n(10). Let b be ((-4)\/(-3))\/(2\/6). Suppose r*f = -2*z - 5 + 23, b*z + 5*f - 26 = 0. Solve -z - 1 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -596?  (a) -0.11  (b) -434  (c) -2  (d) -5  (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 6 = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = w - 4*s, -s - 223 + 28 = 5*w. Let n = -5 - w. Suppose -4*x + n = -x. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 - 5)*(-44*u - 9 + 48*u - 13).\nAnswer: -44*u + 242","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -20227554.1 rounded to the nearest one hundred thousand?\nAnswer: -20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - g**2. Let h(f) = 8*f**2 - f**2 - 130*f**3 + 120*f**3. Give -h(u) - 6*v(u).\nAnswer: 4*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12901 + 52991. Is 38 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h - 3*h + 2*h**4 + (0*h - h + 6*h)*(-1173*h**3 + 650*h**3 - 1342*h**3).\nAnswer: -9323*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -164*n + 44. Let g(a) = -11*a + 3. Give 88*g(q) - 6*r(q).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + 34 + -5 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (1 - (-3 - (1 - 6)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -0.5, 5, -194\/307 in decreasing order.\nAnswer: 5, -0.1, -0.5, -194\/307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19891 + 3427 = -98*q. What is the remainder when q is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 179 divide 17184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -489*o**6*u + o**4*u**3 + 2*o**2*u - 342*o*u**3 + 2*o wrt o?\nAnswer: -58680*o**3*u + 24*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 236023?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + 16 + -33 + 16 - 131 - (0 - 1)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*h**4 - 4*h + 6*h**3 - 1 - 50*h**4 - 19*h**3 + 12*h**4 - 4*h**2 + 25*h**4 as l + u*h**2 + z*h**4 + r*h**3 + x*h and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of m**6\/30 + m**4\/6 + 73*m**3\/6 + 2*m + 7. Find the second derivative of n(f) wrt f.\nAnswer: 12*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -143, -288, -433, -578?\n\"Answer: -145*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30885020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/7 - 2328096*j\/7 + 1355007746304\/7.\nAnswer: (j - 1164048)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + i - 4. Let y be p(0). Let d be 4350\/y*6240\/(-117). What is d rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -62834, -125672, -188514, -251360, -314210?\nAnswer: -377064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18392*g**2*x*y**3 + 81*g**2*x - 2*g*x - 2*g*y**3 - g - 4*x + 30*y**3 + 373*y wrt g.\nAnswer: 36784*x*y**3 + 162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -51 - 1 - (262 - 123 - 174)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 102 - 104 - 5\/(15\/(-6)). Let s(u) be the second derivative of m - 7\/6*u**3 - 3\/2*u**2 - 1\/12*u**4 + 13*u. Determine s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -33103*f**3 + f**2 - 3*f - 11256148?\nAnswer: -99309*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 844 - 798 = -y, y - 820 = -2*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2.38, 0.4, -0.2, -1, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wm when two letters picked without replacement from {o: 1, a: 2, e: 1, m: 1, u: 1, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -51809805*x**2 + 64380*x - 20.\nAnswer: -5*(3219*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 x when four letters picked without replacement from {m: 1, v: 3, j: 3, u: 5, x: 6}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2601*y - 786*y - 18*y - 152*y.\nAnswer: -3557*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -382, -2643, -8462, -19519, -37494, -64067, -100918, -149727?\n\"Answer: -280*k**3 - 99*k**2 - 4*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1872899 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1340 from 8530280.\nAnswer: 8528940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - (-8 - -4))*2. Suppose 5*x + a - 507 = 0, -j*a + 274 + 37 = 3*x. What is the remainder when x is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.7, 0, -1\/276, 0.2?\nAnswer: -1\/276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -226981 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 5*f = -5, 4*f - 3*f + 1 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -211055*v**4\/12 - 5*v**3\/6 - 5*v**2 - 10*v. Let s be d(-9). Let g = s - 2204580. Round g to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3 - 23457380*a**2 + 46914766*a - 23457384.\nAnswer: -2*(a - 1)**2*(a + 11728692)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -2\/7, 0.5, -5, -0.4, -223.73, -44?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*o - 5*w + 17 = 0, 0 = -3*w + 15. Let m be (14\/(-8))\/(6*o\/(-96)). Let y(b) = b**2 + 4*b - 10. What is y(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 213*v**3 + 0 - 193*v**3.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 6*y**3 + 3*y**2 - 2*y + 4. Let r(f) = -13*f**3 - 5*f**2 + 3*f - 7. Let z(q) = 5*k(q) + 3*r(q). What is the units digit of z(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -66025\/2 + 33013. Let o = 0 + -0.2. Let i = 0 + o. What is the biggest value in -2, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u. Let n(k) = 5*k + 1. What is 6*j(c) + 2*n(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v - 12. Let u be y(14). Solve -2*l + a + u*a = -19, -4*l + 5*a + 35 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2243*q = 2246*q - 4491*q - 136 for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**6)\/(x**0*x))\/(x**3\/(x\/(x**(-2)*x))) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15911.\nAnswer: 7, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -105277725.\nAnswer: -2\/105277725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 + 10. Let o = 7 + v. Suppose o = x + 2*x - 15. Solve -x*l + 4 = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51715 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -77*o**6\/30 + o**3\/3 - 59*o**2\/2 - 17*o - 1. Find the second derivative of w(p) wrt p.\nAnswer: -924*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25 and 750?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2 - 17*b - 72.\nAnswer: -(b + 8)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 5*d + 5*d)*(3 + 0 - 2) + 4*d + 0 + 0 + (-d + 4*d - 2*d)*(-1 + 0 + 0) + 3*d - 3*d - 5*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 9*i + 16. Let w(y) = -19*y - 32. Let j(g) = 13*c(g) + 6*w(g). Let f(t) = 4*t + 17. Let m(p) = -2*f(p) + 3*j(p). Calculate m(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(91) - sqrt(91))\/sqrt(7) - (sqrt(637)*1)**2.\nAnswer: -637 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000078226 rounded to 6 dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**8)\/((r\/r**(-1\/2))\/r)*r**2*r**(-7)\/r)**(-16\/7))**38 assuming r is positive.\nAnswer: r**(8208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 4*m**2 + 6*m - 8. Let t(c) = -5*c**2 - 6*c + 9. Let k(l) = 6*s(l) + 5*t(l). Let o(w) = w**2 - w + 3. Let q = -15 - -17. Let g be o(q). What is k(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10231 - -18710. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7436 = 36*k - 7652 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 377 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4875266, -19501104, -43877510, -78004490, -121882050, -175510196, -238888934, -312018270?\nAnswer: -394898210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -76  (b) 5  (c) 3  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -1\/3*z**3 + 1\/3*z + 2\/3 - 2\/3*z**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -164*w - 512 + 1332. What is the lowest common multiple of 90 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2636596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*g**5 - 96*g**4 + 108*g**3 - 28*g**2 = 0. What is g?\nAnswer: -7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ynbe when four letters picked without replacement from {n: 2, o: 1, e: 8, y: 1, b: 7}.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 6 = -6*n, -12 = -2*a + 4*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-93)\/155 + (485\/(-25) - 3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12.65 + 12.55. Is 103.3 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 5, -5, -581, 11 in descending order.\nAnswer: 16, 11, 5, -5, -581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of o**6\/45 + o**5\/15 - 2*o**3\/9 - o**2\/3 + o. Factor l(i).\nAnswer: 2*(i - 1)*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2905.\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 30*k - 287 + 12*k + 288. Let c be 17\/5 + 4\/(-10). Is t(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5201.39 + 24915847\nAnswer: 24910645.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -211*m + 3255. Let i be r(16). Do i and -852\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (68*a + 4*a - 12*a)*(68*a - 267*a - 33*a) as h*a + y + g*a**2 and give g.\nAnswer: -13920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 43542 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) -3.6  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*k - 16 + 16)*(-17 + 17 + 8*k + (0 + 2 + 0)*(k - 5*k + 3*k) + 64*k + 104*k - 122*k) to the form i*k**2 + l + u*k and give i.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.084 and -696.027?\nAnswer: 695.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 143773084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59446 is divided by 3128?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, -88, -211, -374, -571, -796, -1043, -1306?\nAnswer: -1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 58220133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/10?  (a) 11\/2  (b) -5  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 8 + 13 = 0. Suppose 2*g + m*g = 0. Suppose 0*b - 5*k - 30 = -b, 2*k = -2*b. Solve -h - b = -g*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6135 and 20694?\nAnswer: 42319230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the second derivative of 5*t**4\/4 + 1003*t - 1. Let w(g) = 110*g + 1. Calculate w(u(v)).\nAnswer: 1650*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 123.3 from -9642481591.\nAnswer: -9642481714.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 323*g - 1541. Let a be j(7). Suppose -5*i - 1475 = 3*r, -5*r - i + 2*i = 2505. Let p = r + a. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 710*i**2. Let x(d) = 218*d**2 + 23. Determine x(u(m)).\nAnswer: 109893800*m**4 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -3*q - 5. Give s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**2)**(-24\/7))**0*((d*d\/((d*d**0)\/d))**(-19\/2))**41 assuming d is positive.\nAnswer: d**(-779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*3*1\/9*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140080800?\nAnswer: 2, 3, 5, 58367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.644 + 19.09156122?\nAnswer: 20.73556122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 4712*m + 485393. What is y(-103)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1669602, 3338782, 5007948, 6677094, 8346214, 10015302, 11684352, 13353358?\nAnswer: 15022314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -479188*h**2*n - 238013*h**2 - 2*h with respect to n.\nAnswer: -479188*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/5, 0.22, 1655 in descending order.\nAnswer: 1655, 14\/5, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 6, 4*l + 3*a = -0*l + 7. Suppose 43*h - 16065 = -146*h. Calculate the remainder when h is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40511301 (base 6) to base 2\nAnswer: 100011011010000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 3*o + 9, 4*d - 3*o - 57 = 2*o. Solve -4*g = -5*s + d, 3*g + 21 - 19 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -5*g + 5, -4*g - 33 = -2*g + 5*x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1295\/8671 - 3\/667. What is the biggest value in a, 3, -0.096?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -19*n - 12*n + 26*n**2 - 2 + 35*n. What is the tens digit of f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 3*x + 270, 5*z - 9*z - 5*x = -360. What is the highest common factor of 240 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3682193?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -144405 - 5?\nAnswer: -144412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0180182548 to 5 decimal places.\nAnswer: -0.01802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of 7*f**2\/2 + 47*f - 50. Let k be r(-6). Suppose 5*w - 900 = k*x, -w - 6*x + x = -156. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) -3  (c) -1\/6  (d) -7\/163978  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 3 + (-2)\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 82742000 to the nearest one million.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/3887703 or 1?\nAnswer: -4\/3887703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 + 18*l - 6. What is t(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 186171 less than or equal to 186185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55 + 3 + 52 + 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w + 2. Let a(x) = x - 1. Let u(k) = 5*a(k) + 3*m(k). What is u(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-42 - 1)\/(-1 + 0). Suppose g*l = 42*l. Suppose l = 3*j + 10 - 301. Calculate the remainder when j is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13434497 and 10381?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*a**2 - 56*a + 95*a**3 + 94*a**3 + 86*a**3 - 264*a**3.\nAnswer: 11*a**3 + 14*a**2 - 56*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 28*o + 489. Give p(-9).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 11a46 (base 11) to base 8\nAnswer: 41520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3124 + 3124.3. Which is the second biggest value?  (a) -3  (b) j  (c) -0.33  (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 8 = -0. Suppose 19 = -5*q + i. Is 2 a factor of 21*(q + (-10)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-20)*35\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 - 4 + (-2 + 4 + 1)*(2 - 7 + 3))*(-2*i + i + 3*i) in the form d + j*i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*((-39)\/(-12) + -2). What is the closest to u in 0.1, 0, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24 - 14. Suppose -4*l = 4*m, -3*l - 105 + 96 = 4*m. Put w, l, 1 in ascending order.\nAnswer: 1, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 377047316.\nAnswer: 2, 37, 41, 62137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-7)\/(-56))\/(3\/8). What is the nearest to 2 in g, -3\/7, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.18596 - 1.19. What is j rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 1 + 7, -u + 896 = 2*h. Suppose h*f = 443*f + 49. What is the highest common factor of f and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*c - 7*c + 9*c)*(-1 - 3 + 3)*(3*c - 3*c - c**3).\nAnswer: 26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of 2*u**3\/3 + 9*u**2\/2 + 5*u - 21. What is the hundreds digit of m(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-45)*(-18 - 741\/(-38))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h + 25. Let q be n(-10). Let o be q*(-1)\/5*-12. Suppose -56 = -o*p - 8. Solve p*t = 19 + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -10. Let r = -7 + x. What is the third smallest value in 0, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20632 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 95 - 55. Let l be (-32)\/(-12) - 4\/(-12). Suppose 4*w = l*k - 8*k + 415, 3*w + 2*k = 306. What is the greatest common factor of q and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 872\/14763 - 2\/399. Is z smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 27*k**2 + 29*k**2 - 25*k**2 - 20*k**2 + 52*k**2.\nAnswer: 9*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 - 56*x**2 - 2756*x - 142999. Calculate z(-54).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 AM and 8:05 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 15 - 4)*(15*q + 0*q - 3*q).\nAnswer: -180*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1666*k = -378*k + 4783 + 1657 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-7)*x*x**2)\/(x**(-4)\/x*x**(7\/4)*x)*x**(-1\/4)\/x*x**(-2\/9)*x*x\/x**1*x*x**(-1\/2) assuming x is positive.\nAnswer: x**(-31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9477179401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 13 = -51*u + 46*u, 3*r = u + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -3  (c) -2\/103  (d) 0.5  (e) -0.0038  (f) -14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1769.09 + -1467. Let d = 449 - 749. Let x = c + d. Round x to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -622, -2\/81, -2\/11, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -12. Let a be 0 + (-4)\/(-3) + -2. Which is greater: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 + 10*q. Let k(m) = 12599*m + 21. Calculate k(x(f)).\nAnswer: 12599*f**2 + 125990*f + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*z**2 - 26*z**2 - 9423 + 9458 to r*z**2 + k + a*z and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 165 and 6977040.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/1755 and 53\/2030925.\nAnswer: 18278325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 91504\/288 + -3*(-6)\/(-81). Let a = v - 317. Find q, given that 0 + q - a*q**2 - 1\/2*q**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 256 a factor of 3340933376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x - 2. Let y be d(1). Differentiate 8*p**3 - 2 - 4 + y wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -67*d**2. Let l(v) = 68*v**2. What is 6*i(o) + 5*l(o)?\nAnswer: -62*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of 0*w + 0 + 1\/24*w**4 + 0*w**3 - 30*w**2. Let h(s) = 2*s**2 + 16*s. What is -h(f) + 10*u(f)?\nAnswer: -2*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 7\/3  (b) -2\/13  (c) -4  (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 566750 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9904827461*d + 1720*d**3 + 9904827461*d.\nAnswer: 1720*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3174)\/(-92)*-116*2\/(-6). What is the greatest common divisor of 29 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23619 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**2 - 5835*q + 5840.\nAnswer: -5*(q - 1)*(q + 1168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 3*j - 17 = 16, 4*j = 4*k - 76. Suppose 2*r - 5 - k = 0. Let i = 21 - 6. What is the highest common divisor of r and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rleypyb. Give prob of sequence eyyl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 216 and 3523554.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/((-30)\/72*4*2\/5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 31 = 80. Let o = -3 + i. Suppose -4*u + 4*h = -430 + o, u + 4*h = 101. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 149328 and 764025?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1107895409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(54\/(-4))*3. Suppose -5*k + 25 = 0, -4*z - 2*k + 110 - 4 = 0. Let w be (3*(-3)\/z)\/(-3). What is the nearest to v in 0.2, 4, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -26 - -27. Let y(p) = -3*p + 1. What is y(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 25302, 0.057 in ascending order.\nAnswer: -1, 0.057, 4, 25302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrcr when four letters picked without replacement from rzzrzcrzcr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 8 + 0 = 0. Let n(t) be the second derivative of 0 - 1\/20*t**5 + 0*t**w - 2*t + 1\/6*t**4 - 1\/6*t**3. Factor n(i).\nAnswer: -i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25178 (base 10) to base 9\nAnswer: -37475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((75\/20 - 4)*-10)\/(-1).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-162)\/44 - (4\/(-8))\/(-1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1948571 is divided by 596?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 11. Let n = 3 + -1. Sort 4, n, o in ascending order.\nAnswer: o, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.71 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What is the common denominator of 149\/6768 and 49\/2277944?\nAnswer: 1927140624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 378000000 to the nearest 1000000.\nAnswer: 378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 - 28. Let z = -4 - t. Which is bigger: z or -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w + 2*w + 2106 = 0. What is the common denominator of 17\/11 and (9\/w)\/(3\/285)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (30\/4)\/(3\/16). Suppose -1 = 3*a + 5, 0 = 3*z - 2*a - 19. Suppose 2*g - 86 = -z*s - 0*g, 3*g = 3*s - 39. What is the highest common divisor of l and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 - 1)*252\/180. Solve 3*t = 5 + y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 AM and 7:03 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of -r**6\/120 - r**5\/10 - r**4\/4 - r**3 - 18*r**2 + 6*r. Determine u(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23493 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 35690819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 12454337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 PM and 10:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4502605 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2 + 45*a**2 - 47*a**2 - a**3 + 2*a**3. Let i be s(0). Suppose i*r + 5*z - 78 = -r, -r = 4*z - 19. What is the highest common divisor of r and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u + 2*f + 72283 - 72284, 3*u = 5*f - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = -3*y, -163*m = -3*y - 166*m + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -3*c + 2. Let o = -7 - 15. Let b = 26 + o. Determine x(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 2, -24, -4 in increasing order.\nAnswer: -24, -4, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*l - 31137 = -14406 for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of g**6\/480 + 17*g**5\/240 + 19*g**4\/48 - 7*g**3\/3 + 2*g**2 + 88*g. Find v such that m(v) = 0.\nAnswer: -14, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -a - 53, -5*a - 7*t + 8*t = 247. Let x = a - -138. What is the remainder when x is divided by 231\/15 + (-4)\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -28*x + 27. Let g(y) = 14*y - 13. Let f(w) = -5*g(w) - 2*r(w). What is the derivative of f(k) wrt k?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -5*p - 5, -2*p = j + 3 - 1. Is 13 a factor of ((-8)\/4)\/(p*3\/156)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -151 divided by 17892?\nAnswer: -151\/17892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-936)\/(-288))\/((-1118)\/(-24768))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 - 13*s - 21. Give j(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2. Let g(h) = -42703*h. Calculate x(g(j)).\nAnswer: -1823546209*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (37 - (-83 - -10))*2\/20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 51.2 - 47. Let s = -12.6 + w. Round s to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5258 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (159210\/(-19215))\/(2\/21).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -10*z - 87. Is f(-29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174*v - 194*v - 72*v + 3128 = 0 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -33400.96 rounded to the nearest 100?\nAnswer: -33400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 3*k - 6 = -17, -5*n = 4*k + 85. Let u be ((-1)\/(-3))\/(n\/(-78)). Calculate the lowest common multiple of 15*(0 + u\/3) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1347056*n + 4127 + 675932*n + 674332*n wrt n?\nAnswer: 3208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w**3 - 8*w**2 - 3*w + 16. Let v be d(3). Let h(f) = f**3 + 12*f**2 + f + 1. List the prime factors of h(v).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 * -228\nAnswer: 3876","meta":{"dup_signals":{},"source":"arithmetic__mul_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 the cube root of 4166 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -1. Let z(k) = k - 6. Let s(g) = -2*u(g) - z(g). Let x be s(8). Suppose -5*p + 20 = -x*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 PM and 12:34 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -137 or 54587?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of 3*n**4\/2 - n**2\/2 - 11*n. Calculate the remainder when s(-1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -331 + 451.9.\nAnswer: 120.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1090919897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 4*t - 2213, 14*g = 13*g + t + 2243. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 49245573 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 3 + 2*j + 2*j - 3*j. Calculate the remainder when q(6) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18497251?\nAnswer: 73, 253387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 105 - 80. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.04 + -2.039642. What is t rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 1)*(-q + q - 3*q**2) - 2*q**2 + 3*q**2 - 2*q**2 + (-4 + 4 - q)*(-2*q + q + 2*q) - q**2 - 1 + 1 + q**2 + 0 + 0.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2 = -0, -5*m - 5*i = 180. Let c be 3 + -1 + -3 - m. Suppose 3*a = -4*h + 13 + 8, -2*a + 5*h = -c. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -3*g - 20. Let o(z) = -z - 7. Let n(s) = -6*b(s) + 17*o(s). Let d(h) = 2*h + 3. Determine -d(p) + 3*n(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6364 and 2220?\nAnswer: 95460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1428986 a multiple of 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 12:00 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-108)\/20*(51 + -91) is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -700, -993, -1486, -2179, -3072, -4165, -5458?\nAnswer: -6951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29920771 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10225 + 10199. Put z, 11, -4, -2 in ascending order.\nAnswer: z, -4, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -35 + 17. Let h = m + 22. Let s = -5 - -4.8. Which is the nearest to -2?  (a) h  (b) 5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -41?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*m - 65*m = -18*m - 21. Which is the third smallest value?  (a) -1  (b) m  (c) -3  (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.2 - -0.2. Let n = -20 - -19.7. Which is the closest to -2\/3?  (a) r  (b) n  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 40 + -38. Let p(q) = -2*q**2 - 87*q - 287. Let l be p(-40). Put r, 9, l, -5 in descending order.\nAnswer: 9, r, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 1. Suppose -2*r = -5 - b. Solve -r*n - 11 = 2*m - 0*n, n = -3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -13 - 115. Calculate the remainder when 573 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 0.06, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3184067 to two decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 543873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -3*d. Let m = 204 + -202. Let v(r) = 81*r + 3 - 8*r + m - 5. What is j(v(x))?\nAnswer: -219*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 71050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1268187336.\nAnswer: 2, 3, 13, 1354901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -5  (c) -1509577\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 438 + -431. Solve -8*s - g = -47 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 2 = -3*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10\/40)\/((-104)\/(-96)). Which is the fourth biggest value?  (a) 2\/7  (b) -0.68  (c) -2  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-44)\/110 + 741\/1530 and -43\/120.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - 27?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -691954 divided by -2.\nAnswer: 345977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*j**2 + 3*j**2 + 10*j**2 - 2*j**2.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -3*y + 12, -y = 4*v - 6*y - 2. Let c(p) = 46*p + 15. Let t be c(v). Suppose -2*m + t = 25. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - l + 15. Solve -5*y = 4*g - 20, y - 3*g = -l*g + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 + -14. What is the remainder when (h - (-413)\/21) + 2\/(-3) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n\/(n\/n**(5\/2)*n)*n*n)\/n)\/n)\/((n*n*n*n**(-10)\/n)\/n))**(-2\/11) assuming n is positive.\nAnswer: n**(-21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 8:52 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 16, 32, 54?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-196)\/2548 - (-1384800)\/13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*f + f. Suppose 0 = 2*x + f*x - 2338. Suppose -6*y + x = -20. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 4\/31, 533.14, 3\/2, -2, -2\/5?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5244\/(-6118))\/(1*-1).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2686612*c**3 + 3158066 wrt c?\nAnswer: -8059836*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 2\/7, 0.2, 17\/6, -0.5, -2\/7, 1\/7, -2?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2028 * 0.0401.\nAnswer: 81.3228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.14738 + -0.10521438.\nAnswer: -0.25259438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (3 + -6 - (2 + -6)) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 55 = -5*y, 245*m - 250*m + 15 = 5*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -85734260 divided by -3044.\nAnswer: 28165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00155340407 rounded to five dps?\nAnswer: 0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = -4*g + 12, -55*g = 4*x - 51*g - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3355257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 273 + -1?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -30 divided by -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*f**2 - f**4 - 3*f**2 - 2*f**2 + (2*f - 3*f + 2*f)*(2*f**3 + 3*f**3 - 3*f**3) - 6*f**2 + 6*f**2 + 3*f**4 + 2*f**4 - 2*f**4 + 2*f**4.\nAnswer: 6*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -d - 8 - 6, 0 = -o + 3*d + 7. Let v(l) = 101*l**2 - 13*l + 3. Is v(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 8, y: 3}. What is prob of picking 2 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(84) + sqrt(21))*2)\/(sqrt(1008)*-3).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -91248 + 66*i**2 + 91248 - 2*i as a*i**2 + m + p*i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 21, 4, -25, -66, -119, -184, -261?\n\"Answer: -6*b**2 + b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 4*r. Let m(f) be the third derivative of 0*f + 7*f**2 + 0*f**4 + 0*f**3 + 0 - 1\/30*f**5. Give i(m(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 - 7*p**2 + 2*p + 14. Let r be x(-7). Suppose r = -0*o - 3*o + 18. Let h(f) = f**2 - 6*f + 8. Let w be h(o). Which is bigger: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -c17a (base 13) in base 15?\nAnswer: -7d59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6116 + -2330194\/381. Which is smaller: r or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 0.24, -2641\/4 in descending order.\nAnswer: 0.24, -6, -2641\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (1764\/(-910) - 0)*(-70)\/28 - 5\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**5 - 18*i**4 - 35274*i**2 - 11*i + 297670?\nAnswer: -40*i**3 - 216*i**2 - 70548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6548 + -6468. Which is the second smallest value?  (a) 2  (b) z  (c) -1\/4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -75, 310, -4, 1 in decreasing order.\nAnswer: 310, 1, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of -p**3\/3 + 2*p**2 + 4*p + 4. Suppose 4*x = -4*b - 8, -x - x + 3*b = -16. Calculate the least common multiple of x and u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -11, -1, 0.5, -0.0318?\nAnswer: -0.0318","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12718793252 + 1.\nAnswer: -12718793251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-1\/2)*z)\/(((z**(-1\/3)\/z)\/z)\/z*z))\/((z**1\/z)\/z**(-1\/4)))**47 assuming z is positive.\nAnswer: z**(1457\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/9)\/(2\/6). Let n = -131 - -103. Put -0.3, n, y, 3\/8 in descending order.\nAnswer: 3\/8, -0.3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v = -2*v + 176. Suppose -14634 = -v*z - 3946. List the prime factors of z.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5158, -9, 2, 4 in descending order.\nAnswer: 5158, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of y**3\/6 + 7*y**2\/2 - y. Let w be s(-3). Solve -w*v + 2*j - 13 = 7, -5*v + 3*j = 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/50)\/((-126)\/(-140)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x - 20. What is s(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 2*p - 7. Let o be k(5). Suppose -3*d - 3*l = -0 - 18, d = -2*l + 10. Suppose 0*f + 3*f = j + 4, 2*j - 4 = 0. Solve -o*h + f*h = d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1413905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -25, 4, 0.1 in ascending order.\nAnswer: -25, 0.1, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*b**2*g**3 + 134*b**2 - 12*g**4 wrt g?\nAnswer: 9*b**2*g**2 - 48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2691446*p**2 - 1614901*p?\nAnswer: 5382892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6375 - -12227. Is 133 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 2*j - 1015, 0 = x + 2*x - 4*j - 1021. Let o = x - 231. Let w = 126 + -90. What is the greatest common divisor of w and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 131, 441, 957, 1685, 2631, 3801?\nAnswer: 5201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0010097879 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -892774530 to the nearest one hundred thousand.\nAnswer: -892800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 7:19 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 19*p**2 + 4*p + 1. Let s be (-2 - -3)*(82 + -2)\/(-4). Let m = 18 + s. Is x(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-20)\/(3*(-2)\/9). Let d = -7260 + 7314. Let n = c + d. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8054147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-20) + (-41)\/(-5). Let s be (4 - u\/6)\/2. Factor 8\/3*h - 2\/3*h**4 - 8\/3 + 2*h**2 - s*h**3.\nAnswer: -2*(h - 1)**2*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 356 = 67*j - 314. What is the least common multiple of j and 128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129.8883 times -2?\nAnswer: -259.7766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 0.0189?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/143 and -127\/51097930.\nAnswer: 562077230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 125\/2*(-56)\/70. Let b be (4\/(-5))\/(20\/q). What is the nearest to 1 in 1, -0.4, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of -y**5\/20 - 3*y**4\/4 - 4*y**3\/3 - 2*y**2 + 2*y + 21. Let f be (4 + (-44)\/12)*-3. Let p be 1*((f - 0) + -7). What is h(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -179 + 186. Let u(f) = f**3 - 8*f**2 + 4*f. Determine u(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 20 - 23*d - 7 + 32*d. Let q be a(-1). Solve -2 - 2 = -q*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7354\/5 or 1470?\nAnswer: 7354\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -3\/517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of 21*r**5\/4 + 209*r**4\/2 + 338*r**3 - 60*r**2 - 8*r + 58. Factor z(j).\nAnswer: 3*(j + 2)*(j + 10)*(35*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -117605*-830\nAnswer: 97612150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -62, -94, -126?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1008 divided by 4.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*d + 0*d - 2*d + 2*d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -15*s**2 - 9. Let v(i) = -4*i**2 - 2. Determine -18*v(j) + 4*z(j).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -102, -217, -384, -633, -994, -1497, -2172, -3049?\n\"Answer: -5*j**3 + 4*j**2 - 92*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 1:08 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1446303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-34)\/4)\/(3*4\/(-792)). Let r = -300 + n. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 4, g: 2, o: 1, h: 5, y: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 29454 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -186 + 280. Let v = 189\/2 - k. Which is the fourth biggest value?  (a) v  (b) 3  (c) 0  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2\/4)\/(35\/14))\/(16*28\/33600)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19967517 less than -2016.365?\nAnswer: -19969533.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -51*y + 43*y - 62*y - 58*y as n + f*y and give f.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-30)*-3*40\/336*-35.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 49 - 45. Suppose 4*p = 5*w + 13, 2*p + 3*w = 5 - r. Put p, 5, 7, -1 in descending order.\nAnswer: 7, 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 5 = -5*y - 6*n, 4*n = 0. Let r be (-3 - -3) + y - 0. What is the closest to r in -4, -0.5, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 160.83027 seconds to minutes.\nAnswer: 2.6805045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l - 4*l - 2*l)*(10 + 7 - 15 - 9*l)*(1 + 1 - 3)*(0 + 1 + 0).\nAnswer: -81*l**2 + 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1668.6 - -1671.6. Which is the closest to 0.1?  (a) -3\/2  (b) -5  (c) -0.31  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -72.1228 - -0.0228. Let g = i + 14.1. Let l = g + 57.999977. What is l rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/16*(-6)\/(-3)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*v**2 - 14*v**6 + v**2 + 8*v**6 wrt v?\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-q + q - 2*q)*(2 - 1 + 1) + 0*q + 2*q - 3*q + 3 - 3 - q - 2*q + 0*q + q)*(3*q - 4*q + 3*q).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 7*z - 4*z)*(7231 - 36007 - 29775 - 9963 + 5689).\nAnswer: -62825*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + (sqrt(119) + sqrt(119)*2)\/sqrt(7) - ((sqrt(1700) - (2*sqrt(1700))**2) + (sqrt(85) - -2*sqrt(85))\/sqrt(5) + -3).\nAnswer: -10*sqrt(17) + 6807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*y + 98*y - 47*y + 9*u = -174, -y + u + 26 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16 and 760139936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u**2 + 21*u + 6. Calculate s(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -296341*c**2 + 1261*c + 73?\nAnswer: -592682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 + 52. Suppose 16 = 2*a + y*a. Find the second derivative of -11*d + 24*d**a + 99 - 99 wrt d.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -19248*g**2 - 104*g - 1144. Let u(c) = 550*c**2 + 3*c + 33. Let h(o) = 6*j(o) + 208*u(o). Let d(p) = -2*p. What is d(h(w))?\nAnswer: 2176*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -42*w - 412*w + 164*w as i + v*w and give v.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*l + 10 = 0. Let q be (-72)\/(-2) - (2 + -2). Suppose 5*s = -3*c + q, -24 = -3*s + l*c - 3*c. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 + 41*p**2 - 77*p + 33. What are the prime factors of u(39)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -35, 2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 4. Suppose -j - 11 = -3*m + 3*j, m + 2*j + 13 = 0. Let v be n(m). Let o be 4*(-2)\/4 - 2. Which is the smallest value?  (a) -1  (b) o  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {b: 6, d: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-55 - 44*o + 17*o + 25*o + (-3 - 2 - 1)*(-2*o + 0*o + o))*(-o**2 + 0*o + 0*o + (o - o + o)*(2*o + 2 - 2)).\nAnswer: 4*o**3 - 55*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 569664140 a multiple of 1306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12947, 12944, 12951, 12974, 13019, 13092, 13199, 13346?\nAnswer: 13539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 34836 - 35085.785. Let q = u + 249.5849976. Let o = -0.2 - q. What is o rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 22?  (a) -1\/14  (b) -2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6279 and 237153?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z - 1. Let r(y) = 2*y + 3. Let v(x) = -4*f(x) - r(x). Let q be v(0). Sort -4, q, -1 in ascending order.\nAnswer: -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44 - 44 - 21*z**3 - 84*z**2 + 84*z**2.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27975 = 360*m + 1185. Is m at most as big as -0.008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + 194.2235.\nAnswer: 176.2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -4023*z. Let u(v) = -2*v. Calculate u(b(d)).\nAnswer: 8046*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 10:18 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 103758 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*m*n**3 - 20*m - 30*n**3 - 7*n wrt m?\nAnswer: -10*n**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -703 and -12?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*v**6*z + 526*v**3*z**3 - 26*v**2*z**3 + 61*v*z**3 wrt v?\nAnswer: 1080*v**3*z + 3156*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 163 - 167. Suppose 5*p + 22 = -2*g - 3, 4*g = -4*p - 20. Put 5, n, g in descending order.\nAnswer: 5, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.1 - -0.1. Let x = f + -3. Let b = 32\/5 + -34\/5. What is the closest to -0.1 in x, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of -z**4\/4 - 4*z**3 - 5*z**2 + 6*z - 5. Let d be g(-11). Sort -1, 0, d in descending order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 42*h - 49*h + 4564. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 24534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/3, -1, -0.4, -6\/17, 278, -0.2, -6\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -4*s - 50. Let r be t(-13). Let o be 18\/45 + r\/20. What is k in -1\/2*k**3 - k**4 - o*k**5 + 0*k + 0*k**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2283 seconds in microseconds?\nAnswer: 1228300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 46. Suppose -z*u + 40*u - 30 = 0. Suppose -n = -5*g - 65, 68 = -u*g + 2*g + 4*n. Is -13 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zmo when three letters picked without replacement from {p: 3, l: 1, e: 2, m: 1, o: 1, z: 10}.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -5*r - 28. Let u(b) = -10*b - 60. Let w(y) = 11*a(y) - 6*u(y). Let j be w(-8). Calculate the greatest common factor of 60 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - j - 303 = 0, -60*j - 578 = 2*c - 65*j. What is the smallest value in 2\/13, 0.5, -1, -2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 0.1, 2\/15 in increasing order.\nAnswer: -5, 0.1, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 + h + 29. Suppose 4*o - 4*m = 5*o - 10, 0 = o - m. Suppose o*x = x. Is 6 a factor of c(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + (-4)\/9 + (-897)\/351. Let a = 3 - 8. Suppose -20 = 4*w, -5*x - w - 4*w = -15. Put x, a, v in decreasing order.\nAnswer: x, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4312)\/16170*(-6)\/(-16)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k - 6. Determine w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 206\/9 + -1460\/63. What is the closest to 1 in f, -0.4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of -11*d**4\/12 - d**3\/3 + d**2\/2 + 26*d. Let w(u) = -4*u**2 - u. Give 3*b(g) - 8*w(g).\nAnswer: -g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add 141224 and 74275813.4.\nAnswer: 74417037.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of -n**5\/15 + n**4\/24 + 41*n**2 + 3*n + 47. Let m = 3 + -1. Give p(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -7*f**3 - f - 1. Let j be s(2). Let l = j - -109. Let q be l*(2 + (-232)\/20). Round q to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z**3 + 23*z**2 - 2769*z + 36509. Determine l(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-30)\/(-105) + (-1 - -1). Suppose w + 3*y - 27 = 7*y, -4*y = 3*w - 1. Let r = -15\/2 + w. What is the nearest to -0.1 in b, 2, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 2*i - 1)*(-2 + 5 - 2) - i + 2 - 2 - 1 + 1 - i)*(4*i - 5*i + 0*i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -554 - -564. Calculate the highest common factor of m and 810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -11032?\nAnswer: 11030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-10) + ((-93)\/7)\/(30\/378*-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47734541 + 0?\nAnswer: 47734541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u - 24. Let c be j(-12). Solve -4*x + 4*n = 20, 0 = n - c - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -204.3 - -205.149. Let w = 0.848997018 - a. What is w rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -157 - -157.01. Which is greater: y or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*2*sqrt(66))\/((sqrt(1296) + sqrt(36))\/sqrt(6) - sqrt(6)) + (-2*sqrt(1100)*2 + (sqrt(1100)*1)**2*1)*-5.\nAnswer: -5500 + 202*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/16, 2\/3, 870 in descending order.\nAnswer: 870, 2\/3, 5\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 - 16*y**2 + 107*y + 42. What is r(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7 - -11) + 1 + 52 + 1. Suppose -5*n + b + 2 = -5*y, 0 = -y + 3. Solve -6*r = -r - n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 0*t**2 + t**2 + 2*t**2 - 2*t**2 + 3 + 4*t. Let k be s(-4). Suppose l - 16 = -k. Calculate the lowest common multiple of l and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + a - 6 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -202 (base 5) in base 4?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9342 + 9887. Which is greater: l or 2721\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 37 = -3*b, 2*b + 2*k + 28 = 3*k. Let c = b - -13. Let t(q) = -q - 1. Let u(i) = i**2 + 9*i + 10. Let w(p) = c*t(p) - u(p). Calculate w(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -14*x - 77. Let v be q(-6). Suppose 5*h + 6*p - v*p = 3310, -p = 5*h - 3310. What are the prime factors of h?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 512 + 6. Let t = -507 + q. Solve 0 = 3*d - 2 + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7536779 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 777 and 838?\nAnswer: 651126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of 0*p**3 + 4*p**2 + 0*p**4 + 1\/20*p**5 + 0 + 0*p**6 + 0*p**7 + 1\/84*p**8 + 0*p. What is the third derivative of b(k) wrt k?\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*g = -1122 - 753. What is the highest common factor of 150 and g?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 432834, 864425, 1296014, 1727601, 2159186?\nAnswer: 2590769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -17852 - 0?\nAnswer: -17852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 + 8*a - 5. Let u be x(7). Suppose 0 = -u*i - 2*i + 20. Let j(q) = q + 3. Let s be j(3). Solve 0 = i*m + s - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99805, -199613, -299423, -399235?\nAnswer: -499049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + (2*-28)\/(-1). Let z = a + -23. Calculate the greatest common divisor of 217 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of 5*a**7\/84 + 23*a**6\/15 - 423*a**5\/40 + 275*a**4\/12 - 56*a**3\/3 - 3941*a - 2. Let c(t) = 0. What is t?\nAnswer: -112\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(112)*-2*-1.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 0.84, 2, -2, 0, 121?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68 - v - 6*v - 20 + 176 + v + 3*v.\nAnswer: -3*v + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -160, -1, -32, -8, 299.\nAnswer: -160, -32, -8, -1, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -86*x - 4. Let j be f(-4). Let p = -240 + j. What is the highest common factor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 128688687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 91 - 68. Suppose -n*q = 3*q - 52. Solve -q*j - j = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in twenty-one halves of a microsecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 936*g**3 - 938*g**3 + 46*g + 470*g**4 - 466*g**4 + 2*g**2 in the form f*g**4 + j + t*g**2 + r*g + a*g**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**5\/7 + 12*i**4 - 1845*i**3\/7 + 3362*i**2\/7.\nAnswer: -i**2*(i - 41)**2*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) - sqrt(5))*1 - sqrt(50)\/(sqrt(80)\/sqrt(8)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 50514 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/5 + 532662*r\/5 + 14913752\/5.\nAnswer: (r + 28)*(r + 532634)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 49054000 rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 832?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -16*m**3 - 4*m**5 - 270*m + 270*m + 16*m**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2318*o + 60 = -2348*o. Let c(g) = 4*g + 1. Let y(v) be the third derivative of -3*v**4\/8 - v**3\/2 - 3*v**2. Give o*y(h) - 5*c(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 2*j - 3*j)*(2 + j - 2) + (-j + j + j)*(4*j + 3*j - 5*j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*z + 12*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-3)*g)\/(g\/(g\/g**(-2\/11))))\/(g**(-1)\/((g**(-2)*g)\/g*g*g))*((g\/((g*g\/(g*g\/g**(1\/4)*g))\/g*g*g))\/g*g**(1\/7)\/g)**(-33) assuming g is positive.\nAnswer: g**(11001\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aoaa when four letters picked without replacement from ooooaooaooaoaaooooo?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83040?\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*x**3 + 6*x**3 + 4*x - 2*x**3)*(-4 + 3 - 5) - x**3 + 2 - 2.\nAnswer: 11*x**3 - 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.4 - -0.4. Let o = 8.01 + -8. Let i = 1.01 - o. What is the closest to -1 in k, -2\/7, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + k**2 + 2*k - 1. Let j be p(2). Let a = 1 + j. Suppose a = -2*s + 3 + 9. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1821089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ee9d314 - 5?\nAnswer: -ee9d319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45937 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.1 - 0.1. Let j = k + -3.00007. Round j to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1740851762?\nAnswer: 2, 13, 281, 18329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 0.1, -10\/13, 2\/695?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 - 6*p + 3. Let s be m(-6). Suppose -s*n + 31 = -4*i, -2*n + 3*n = i + 9. Let g be (12\/(-10))\/((112\/(-40))\/(-7)). Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12446\/5 + 49799\/20. What is the second biggest value in -3, 0.3, f, 31, 0.05?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35 + 60. Let o = -2 + 5. Suppose -o*y + 45 = 2*y. What is the remainder when n is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(114)\/sqrt(6)*-4 + 1)**2 - (sqrt(228)*-4*-1)\/sqrt(12)*2) + -2.\nAnswer: -8*sqrt(19) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5362 is divided by 145?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 6346465\nAnswer: -1\/6346465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w - 3*w - 19*w + 39*w)*(0 + 0 - 5*w).\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6423\/9016 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6270686 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: Calculate the common denominator of -169\/120 and 71\/340.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2*14 + (-69168)\/2464*1 + (-1541)\/(-14)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-10)*(-22620)\/1508.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q + 12*q - 54096 = 0. Is q a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -350 + 354. Let g = -4 - -1. Let t be (15\/40)\/(g*1). Which is the third smallest value?  (a) t  (b) 3\/7  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*y**4 - 6*y**4 + 3*y**4)*(-2 - 2 + 2)*(3 + 0 - 5) to the form p*y + m*y**3 + s + v*y**4 + x*y**2 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1511 and 15110?\nAnswer: 15110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + y = -q - 6, -2*y - 5*q - 23 = 0. Let l = 2\/9 - -1\/36. What is the closest to l in 0.3, 0.5, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1985 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1232, 2466, 3700, 4934, 6168?\nAnswer: 7402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 + 11*y + 13. Let s be p(-10). Let i(u) = -u**3 + 2*u**2 + 2*u - 3. What is i(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -113 (base 4) in base 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -3*s**2 - 20*s - 3. Let o be q(-8). Let n = o - -65. What is the least common multiple of (-2 - (-152)\/28)*7 and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(1*sqrt(637) + sqrt(637))*-4 - -5*(sqrt(637) + -2)*-3)*6)**2.\nAnswer: -952560*sqrt(13) + 91049508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 5 - 1. Let a be ((-15)\/20)\/(y\/(-4)). Solve g = -a - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**5 - 511*t**4 - t**3 + 511*t**2 = 0.\nAnswer: -1, 0, 1, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {r: 1, f: 1, y: 1, a: 1, h: 2, v: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/(-15) - (-32)\/6. Does 17 divide 1 - y\/4*-64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -40, -49, -66, -91, -124?\n\"Answer: -4*s**2 + 3*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2580580, -2580609, -2580638, -2580667, -2580696?\n\"Answer: -29*y - 2580551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -190785713 - -31652.\nAnswer: -190754061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 2*x = -14, 4*g - 7*x + 8*x = 29. Let p(y) = -4*y**2 + 2*y**2 + y**2 - 3 + 8*y. What is the remainder when p(g) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 - z - 1. Let x be c(3). Suppose 3 = -3*l, -2*d - 4 + 1 = -x*l. Find the common denominator of 17\/11 and d\/(-8)*17\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4+-2346104\nAnswer: -2346103.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 2410*n + 25 = -2415*n, -4*n + 220 = 42*u + 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yro when three letters picked without replacement from {r: 6, o: 7, l: 1, y: 3}.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-227*r - 100*r - 26*r + 31*r)*(-2*r**3 + 0 + 0) in the form x*r**4 + z + b*r + l*r**3 + w*r**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + 6 + -6 + (8 - -44811) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 (base 5) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1650446 is divided by 16813?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.1 + -5.7. Let k = o + -0.4. Let p be 2\/10 - (0 - 0). Which is the third biggest value?  (a) p  (b) 2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*b**2 - 4*b + 204*b**2 - 71*b**2 + 3*b - 73*b**2 - 10*b**3.\nAnswer: -10*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven halves of a millimeter in micrometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -74, -172, -298, -452?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of 0 + 0*k**4 + 7\/24*k**6 - 3*k + 44*k**2 + 263\/6*k**3 + 0*k**5. What is the derivative of r(d) wrt d?\nAnswer: 105*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6935612 - -62380.\nAnswer: 6997992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 4*u - 21 = -2*u, u = 0. Let k be 728\/(-49) + 1\/o. Let q = -1 - k. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-4 + (sqrt(68) - ((sqrt(68) - (sqrt(68) - (-2 + -1*sqrt(68)))) + sqrt(68))))**2.\nAnswer: -8*sqrt(17) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + (-895)\/747 - 102\/(-459). Suppose 5 = -8*u + 5*u - w, 3*w + 6 = 0. Is g <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 5*d + 20 - 3 = 0, -l + 4 = -d. Suppose l*o - 18 = -3*c + 2*o, 22 = 2*c + 4*o. Calculate the remainder when 8 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.7041 to 2 decimal places.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 16*i**2 + 3*i - 3. Let p(h) = 48*h**2 + 9*h - 8. Let d(y) = 3*p(y) - 8*x(y). What is the second derivative of d(b) wrt b?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 200 by -40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.1351114 centuries?\nAnswer: 162.13368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 93 - y**2 + 65 - 2*y + y**3 + y**2 + 415 in the form n*y**2 + g*y + x + b*y**3 and give x.\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 4) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 2*u + 31. Suppose -5*y = 4*f - u, 0 = -4*y + 4*f + 4 - 8. Suppose v + 1 = y. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(((-21)\/(-35))\/(8\/(-10)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.76, 2.8, -0.4, 0.04, -0.5, 0?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00005075474 to six dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*n - 3*n - 6*n + 2*n as q + x*n and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -212102022110102?\nAnswer: -212102022110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w - 4. Let i(z) = z - 2. Let y = -14 + 17. Suppose 0 = 6*q - y*q + 27. Let u(j) = q*i(j) + 4*a(j). Find the first derivative of u(p) wrt p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 18 = 3*o, -2*o - 3 = 3*d - 19. Suppose -5*w - 10 = -5*y - w, 8 = d*y - 4*w. Suppose 6*k**y - 47 + 2*k**3 + 12*k**2 - 3 + 30*k = 0. Calculate k.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iij when three letters picked without replacement from {j: 13, i: 3}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -10*t**3 + 5*t**2 + 6. Let h(k) = -21*k**3 + 10*k**2 + k + 13. Let w(z) = -3*h(z) + 5*s(z). Let u(d) = 3*d**3 - d**2 - d - 2. Give 9*u(c) - 2*w(c).\nAnswer: c**3 + c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 29*l**3 - 10*l**2 - 14*l - 3. Determine q(-2).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 411196 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 260 is divided by 144?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 639*g + 3*g**3 - g**3 - 610*g - g**3 to the form h*g**2 + k*g**3 + d + c*g and give c.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-528)\/(-572) + 4\/(-2) - -1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8413*t + 43 = -8418*t + 3*r, -2*t + 5*r - 40 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 20, -3*r - 5 = -5*w - 0. Let l(m) = m**2 - 1. Suppose 2*n - 3 = -n, 5*d - 4*n = 6. Suppose d = -p - 2. Let b(g) = 2. Give p*l(v) + w*b(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -0.051.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 502 divided by -4\nAnswer: -251\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.213 times 0.07142?\nAnswer: -0.01521246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = 4*y - 24, -451*y + 2*d + 2 = -459*y + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 10 - 29)*(5*s - 4*s - 2*s - 2*s + s + 0*s + (-4*s + 3*s - s)*(-2 - 2 + 2)).\nAnswer: -56*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 - 2 - 1 + 2 - 4 + 1 + (-2 + 4 - 1)*(2 - 3 + 0) + 1 + 1 - 4 - 1 + 2 + 1)*(v - v + 19*v**2) as b + w*v**2 + p*v and give w.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -82, -76, -76, -88, -118?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9164 is divided by 916.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 344 - 343.6482. What is x rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131 + 131 + 8 + 0 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7152?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-8)\/(-5) + 2)*(-20)\/(-12). Suppose g + 2 = 2*r - 2*m, 2*r - 8 = -3*m. Let o be 0 + 1 + 1\/1. Solve o*d + 8 = k + 1, -r*d = -k + 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9818 and 1500.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.631291 + 1.6362. Round a to five dps.\nAnswer: 0.00491","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4 + -3 + -1 + 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -433518 divided by -216759\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9740 and 460?\nAnswer: 224020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**5 + 52*z**4 - 532*z**3.\nAnswer: -z**3*(z - 38)*(z - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0382902 to four dps.\nAnswer: 0.0383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a**3 - 2*a**2 + 12*a + 37. Let q(r) = -5*r**3 - 2*r + 1. Let o be q(1). What are the prime factors of g(o)?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 147, 1540, 5379, 12888, 25291, 43812?\n\"Answer: 204*w**3 - w**2 - 32*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by -10062?\nAnswer: 4\/5031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -125 + 0.0121\nAnswer: -124.9879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of w**2\/2 + 28*w + 16. Is 3 a factor of v(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*d**3 + 78*d**3 + 73*d**3.\nAnswer: 107*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -26883792237 take away -4082?\nAnswer: -26883788155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -5  (b) 2  (c) -158.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (8 - (-15 + 10 + 8) - (-1 - -30)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -214071*v**3 - 1996*v**2 - 499*v. Let r(w) = -3001*w**3 - 28*w**2 - 7*w. What is 7*b(o) - 499*r(o)?\nAnswer: -998*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-3*sqrt(228)*4)\/(sqrt(12) - (-3*sqrt(588) - sqrt(588))) - ((-1 + sqrt(1900) + -1 + sqrt(1900))*5)**2).\nAnswer: -173964*sqrt(19)\/29 + 570300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24 + 47. Suppose 582*r = 562*r + 260. What is the remainder when i is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 75 + -66. Solve y = -2*x - 6, -3*x - k = -6*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/3, -5, 182, -681, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 - 4*f**2 - 4*f - 4. Let m be w(5). Let t = 898207\/4 - 224552. What is the smallest value in -22, t, 3, m?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of j**5\/90 - j**4\/18 + j**3\/9 - j**2 + 5*j. Let l(v) be the first derivative of p(v). Solve l(y) = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5544\/2880 - (-29)\/(-580)*(-10)\/(-4).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/6*7*364\/(-294).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 54*i - 21*i - 3 - 16*i - 23*i. Give x(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 2*v + 9 = 0, 0 = r - 0*r + 5*v - 2. Let g(q) = -6*q**2 + 42*q + 5. Let u be g(r). Solve -u*x = -3*s + 2*s + 16, 2*s = x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 5*x + 25, 4*b + 14 + 4 = -3*x. What are the prime factors of (19\/(-4))\/(b\/12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -5*m**2 + 12*m + 1. What is o(4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -81, -12, 5.\nAnswer: -81, -12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 112\/227357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26 - 21. Suppose 0 = -4*o + n*b + 775, 0 = -o - 2*b + 279 - 82. Is o a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 11:50 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r - 1. Let g(x) = -3*x - 8. Calculate 4*a(d) - 2*g(d).\nAnswer: 2*d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i. Is 3 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 76*g**3*z - g**3 + 5019*g**2 + 9874*g*z - 2*g - 20*z wrt g.\nAnswer: 456*g*z - 6*g + 10038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 8*o + 36 = 0, -5*m + 5*o = -131 + 101 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -110012102 (base 3) in base 10?\nAnswer: -8894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 j when three letters picked without replacement from {r: 1, j: 8, c: 3, p: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of 5\/42*u**7 + 0*u**5 + 0 + 0*u**4 + 15*u + 0*u**2 + 0*u**3 + 1\/3*u**6. Factor o(d).\nAnswer: 5*d**4*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 11. Let k = -18 - -12. Let a = k - d. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/27*3*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12\/15)\/(1\/5). Let k be 4 - (g - (0 + 2)). Let u be 741 - k - (-2 - -1). Round u to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*g - 4*g + g)*(0*g - 2*g - 2*g)*(-14 + 3*g**2 + 14) + 4*g**4 + 4*g**4 - 10*g**4 as n*g**3 + k*g**4 + l + p*g**2 + r*g and give k.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 36115 - 36118. What is the closest to -1 in -13, -2\/9, 21, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1156 and 1300789.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 56.0000046 + -56. What is n rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -5*d. Let n = -8 + 2. Let c(i) = -i. Let v be -1 - -5 - (1 - -2). Let x(g) = n*c(g) + v*o(g). Let z(f) = -2*f. Calculate x(z(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 155*f**3*x**3 + 146*f**3 - f*x wrt x?\nAnswer: 930*f**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00006101183339 rounded to seven dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -8*x**4 - 17*x**3 - 8*x**2 + 11*x. Let k(l) = 3*l**4 + 6*l**3 + 3*l**2 - 4*l. Let j(b) = -11*k(b) - 4*y(b). Factor j(n).\nAnswer: -n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1034139 is divided by 16953?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -964 divided by -1\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -111 - 4004044?\nAnswer: -4004210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 11 = z. Suppose -z = w - 2*w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 1905\nAnswer: -2\/1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136701 + 4989 = -64*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 3. Solve -l*b - 3*w = 1 + 18, w + 3 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/3)*k*k*k**3)**27 assuming k is positive.\nAnswer: k**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4, -19, -58, -113, -184?\n\"Answer: -8*i**2 + i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 280*l + 29. Let v(u) = -140*u - 13. Give 4*a(s) + 9*v(s).\nAnswer: -140*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of j**3 - 964*j**2 - 1619.\nAnswer: 3*j**2 - 1928*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*k - 23 = -143 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 3*d**2 + 5*d - 5. Let i(z) = -4*z**2 - 7*z + 7. Let m(h) = -5*i(h) - 7*y(h). Let f(n) = 13*n**2 - 3 - 42*n**2 + 3. What is f(m(v))?\nAnswer: -29*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -12*r**3 + r**2 - 3*r - 3. What is the tens digit of v(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + s. Let y be k(2). Let d = 4 + -4. Suppose 15 = -5*p, d = m + 5*p - 2*p + 8. Sort -4, m, y.\nAnswer: -4, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**5 - 3*w**5 + 3*w**5)*(-1 - 3 + 0).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*d**3 + 11*d**2 - 7*d + 17?\nAnswer: 60*d + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15064 equal to 14885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -4 + (4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 736*f + 16*f - 2659 + 33674 = 3191 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2160 - -2281. Let k = 0.01 - -125.99. Let l = h - k. What is the nearest to 1 in -4, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 159 - 108. Let i = w + -45. Solve 4*f - 3 = 3*m, 2*m + 4*f = -i + 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 - 20. Suppose b*s + 6 = 0, 3*a - a = 5*s + 6. Let t(h) = -645*h**2 - h + 2*h - 2 + 0 + 640*h**2. Let o(v) = 6*v**2 - v + 3. What is a*o(g) - 3*t(g)?\nAnswer: 3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(294)\/(sqrt(42)\/(sqrt(42)\/sqrt(7))))\/(sqrt(30)\/((sqrt(45)\/sqrt(3))\/sqrt(3))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -113355122*c**3 + 119182789 wrt c.\nAnswer: -340065366*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28402.\nAnswer: 2, 11, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(2\/(-6)) + 4. What is the closest to 1 in -2\/3, 0.3, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = d - 2. Suppose 15*b = 16*b - 2. Suppose -u = -d*x + 3*u + 106, b*x + 5*u - 97 = 0. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1064*v - 626*v - 6*v**2 + 4*v**2 - 2*v**3 + 32*v.\nAnswer: -2*v**3 - 2*v**2 - 1658*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -l**4 + 178868*l**3 + 3*l**2 - 2035339*l.\nAnswer: -12*l**2 + 1073208*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from nbunbwbuwbnwuw.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -424908780?\nAnswer: 1\/84981756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (93 - 16*n - 93 + (0 + 2*n + 0)*(-3 + 3 + 4))*(1 + 3 - 2).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1866392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.2 + 1. Let m be (-160)\/(-76) + -2 - 0. Which is the closest to k?  (a) -0.4  (b) -1\/2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/(b\/(b*(b\/b**(-1))\/b)))**28*b\/(b*b**(-2\/9))*b**(1\/4)\/b*(((((b*b**(-2))\/b)\/b)\/b)\/(b**(1\/4)\/b))\/((b*b**1*b)\/b*b)**(-13) assuming b is positive.\nAnswer: b**(1073\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*r + 6 = 22*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 154 and 67998.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 502716357 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c - 170285955 + 170285955.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zjzmzzsmjjj. Give prob of sequence js.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 3137106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*t**4 + 2*t**4 - 3*t**4)*(0 - 4 + 3) - 1161 + 1161 - 121*t**4 to r*t**4 + d + v*t**2 + u*t + z*t**3 and give r.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4889 is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express t + 4*t - 4*t + (0*t + 0*t + 2*t)*(-7 + 8 + 5) + t + 5 - 3*t + 2 + (4 + 0 - 3 - 18*t)*(-2 + 1 - 1) in the form f*t + d and give f.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -852*p**2. Let i(f) = f. Calculate i(v(c)).\nAnswer: -852*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-18)\/(-12))\/(18\/4). Do 1 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x + 1. Let h = -25 - -31. Let i(a) = 5*a. Let b(t) = h*v(t) + i(t). List the prime factors of b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 1016 = 3*n, -2*n - 3*w + 352 = -308. Let h = 358 - n. Calculate the remainder when 37 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 871 - 371. Suppose -4*m = -m - 48. What is the remainder when (4\/3)\/(f\/165 - 3) is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 4*f + 1549 = 1551, 2*v = 3*f + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 10, 47.3, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1436, 2873, 4306, 5735?\nAnswer: 7160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/45)\/((-5)\/9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 + -4)*-3 + -3. Let n(k) = -46*k + 48. Let s be n(1). Solve l*w = -s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91878647977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-15)\/(45\/(-246)) + -7. Solve 10*z = -5*z + g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -67\/4 - -191\/12. Let t = -1\/2 - o. Let u = 14082 + -14081.8. What is the closest to t in 0.6, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4114329 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -i**4 + 484*i**3 + 7021*i**2 - 24436*i + 16932 = 0?\nAnswer: -17, 1, 2, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 240371.3260498 and -0.05.\nAnswer: 240371.2760498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 14  (b) -10  (c) -4  (d) -1  (e) -0.1  (f) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2)\/m)**(-41)*m**(-3\/4)\/(m**(1\/8)*m*m) assuming m is positive.\nAnswer: m**(961\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -61816\/7 - -8831. Let c be (-1)\/(-2) + 6\/24. Put u, c, 1, 3 in descending order.\nAnswer: 3, 1, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 949 + -981 - (-17 - 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 6 = -2*m. Which is bigger: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 78*v - 20*v - 7688770. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -221404 (base 6) in base 11?\nAnswer: -129a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from emeqeqeeqmemeqeq. Give prob of picking 1 m and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1418335 and 100.\nAnswer: 28366700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -160*p**5\/3 + 112*p**4 + 1030*p**3\/3 + 236*p**2 + 48*p = 0. Calculate p.\nAnswer: -3\/4, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i - 3. Let u be q(12). Suppose 17*v - 20*v = -u. Solve v*f + 1 = 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from npnsynnncmpcnmsnn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/9, 2\/21, 5, 3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -271 - 2216185386*a**3 + 2216185384*a**3 + 271.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -6, -0.4, 5, -85?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1477 + 1478 + 1478 + 2*q**3 - 4433 + q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -2*h + 5 + 11, 3*h - 16 = -i. Suppose -5*p - 27 = -4*x, -h*p = -5*x + p + 30. Sort 4, -3, x in increasing order.\nAnswer: -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -41*l**2 + 86*l**2 - 47*l**2. Let d(w) be the third derivative of w**6\/180 - w**4\/6 - w**2. Let t(o) be the second derivative of d(o). Give f(t(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -39 - 124*d + 64*d + 56*d - 2*d + 0*d + d + (-6*d + 2*d + 5*d)*(-3 + 5 - 1) + 0*d + 3*d - d.\nAnswer: -2*d - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 9 + -3 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-300)\/84 - (-1)\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does -6376 = 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g**2. Let f be v(-1). Let t(r) = 7*r**3 + r**2 - 3*r + 2. List the prime factors of t(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 161 - 161 + 38024*m.\nAnswer: 38024*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(3\/5)\/(((y**30\/y*y)\/y)\/y) assuming y is positive.\nAnswer: y**(-137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 141\/752*((-208)\/(-39) + -8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-44)\/8 - -1)*-2. Suppose -4*v + 7*v - i = 0, 4*u - 37 = v. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 5*u - 56 = 0, -3*g - 2*u + 0*u + 62 = 0. Suppose -292 = -g*n + 22*n. Let f = -57 - n. Solve 4*c - f = 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 - 4 + (0 - 4 + 1)*(3 + 4 - 4))*(z + 3*z**2 - z).\nAnswer: -51*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 4:26 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1149819 - -4?\nAnswer: 1149821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k + 6*k - 6*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 25*y - 6. Let v(f) = -26*f + 5. Suppose 3 = -5*i - 17 - 5. Give i*m(b) - 6*v(b).\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*1)\/(22*4\/16).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5333113000 rounded to the nearest one million?\nAnswer: -5333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjbgsbjcsjbbgjjbb?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 239205 is divided by 482?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(17) + sqrt(17))*4 + 4.\nAnswer: 4 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1536)*1*6)\/(sqrt(132)\/(sqrt(44) - (sqrt(704) + sqrt(44)) - sqrt(11)))*-5.\nAnswer: 2160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = 43*v - 467, -5*x = -118*v + 117*v - 4 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 5*z**4\/12 - z**2. Let k(m) be the second derivative of 5*m**3\/6 - 1021*m. Give o(k(s)).\nAnswer: 50*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - b)*(-13 + 3 + 2) - 3*b + 2*b + 2*b.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*q + 35*q - 64. Calculate the remainder when 55 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 660*o**6 + 501*o**2 wrt o?\nAnswer: 79200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 11:02 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j - 2. Let v be d(-3). Let h(n) = n**3 + 7*n**2 + 3*n. What is the remainder when h(v) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 215*g - 208*g - 328*g - 108*g.\nAnswer: -429*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15640)\/(-280) + -30 - 28?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21144, 41429, 61714, 81999, 102284?\nAnswer: 122569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 74329966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1)**(26\/9)\/((j**(6\/5)*j)\/(j\/j**(-2\/19))) assuming j is positive.\nAnswer: j**(1534\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -0.4, -2, 1, -9967, 0 in descending order.\nAnswer: 10, 1, 0, -0.4, -2, -9967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2799 is divided by 240?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 314 - -1177660?\nAnswer: 1200174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -6*s + 3. Let t be q(3). Let b = t - -10. Let w(d) = 4321*d**3 + 5*d**2 - d - 5. Let u be w(b). Round u to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -75 - -156. Let m = -53 - v. Let z = -131 - m. Is z less than or equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 57*r**2 + 9*r + 65. Let s(x) = -113*x**2 - 21*x - 131. Let j(v) = 7*p(v) + 3*s(v). What is the derivative of j(g) wrt g?\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/7*(240408\/4876)\/(-81).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 3*h - 5*f + 15 = 0, 16*h + 48*f = 50*f + 78 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1040*d**3 - 19 - 1037*d**3 - 348.\nAnswer: 3*d**3 - 367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-5)\/(-1))\/((-10)\/(-12)). Suppose -p*y + 36 = -4*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -5*l + 17412, -148*l + 3*d - 13938 = -152*l. Calculate the smallest common multiple of l and 464.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -379.91 + -4.09. Let s = o - -384.002268. Round s to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -11*c + 9*c. Let q(x) = -x + 2. Let w be q(c). Suppose -275 = 2*k - w*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.065 + 98.065. Let g = -98 + j. What is the nearest to 2\/9 in -1, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1063*d - 830 - 299 - 997 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 623 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32 + 30. Sort 4, 3, q.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 6*i**2 - 89*i + 3250. What is f(32)?\nAnswer: 6546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 588 and 19988556.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6249035469 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {h: 1, b: 11}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j**3 + 14*j**2 + 38*j + 18. Let a be r(-2). Let w(v) = -v**3 - v**2 - 4. Let s be w(-3). Calculate the highest common factor of s and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84617.\nAnswer: 13, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38494\/45 + -6464\/9. Is l smaller than 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -6*w + 3*w. What is j in 6*j**3 + 13*j**w - j**2 + 44*j**4 - 9*j - 56*j**4 + 3*j**5 = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3423 times 28575?\nAnswer: 9781.2225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2173 - -2172. Let i(q) = -3 + 2 - 4 + 6 + 13*q. Calculate i(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -153, -325, -515, -735, -997, -1313, -1695?\n\"Answer: -2*b**3 + 3*b**2 - 167*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 3*h + 26 = 0, 4*u - h = 2*h + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q + 7. Let i = 15 + -15. Determine k(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -875992 - -2068541. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*k**3 + 2810596947*k - 2810596947*k.\nAnswer: 35*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4220093893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19126 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of 3\/4*w**4 + 0*w**5 + 0*w**2 + 214*w - 1\/6*w**6 + 0 + 2*w**3 + 1\/7*w**8 + 0*w**7. Find the third derivative of r(p) wrt p.\nAnswer: 960*p**3 - 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nintnqgitqtqj. Give prob of picking 1 q and 1 n.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 105.9 - 119. Let n = j + 6.6. Let z = 10.5 + n. Which is smaller: z or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1238 is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 11\/2. Let t = -2.065 + -0.035. Let p = -17.9 + t. Do m and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of t**7\/21 + t**6\/6 - 3*t**5\/20 + 1471*t. Determine i so that n(i) = 0.\nAnswer: -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/2*-2 - 0. Suppose 9 = q*h - 6. Suppose 1 = -h*v + 4. Solve -v - 3 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v + 3. Let q be -3*((-10)\/(-3) + -3). Let u be (-3)\/(q + (-7)\/(-4)). What is the units digit of z(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -290, -1000, -2378, -4646?\nAnswer: -8026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 6 = -3*c. Let g = -5 + 8. What is the remainder when c is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -93*z**2 + 27*z - 402. Let b(r) = -7*r**2 + 2*r - 31. Let v(m) = 27*b(m) - 2*u(m). Let a(h) = 1. Calculate -66*a(c) - 2*v(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 AM and 12:26 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 - -3.6066?\nAnswer: 41.6066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2335*m. Let g(r) = 5*r + 136. Let x(n) = -n - 32. Let v(b) = 4*g(b) + 17*x(b). What is z(v(t))?\nAnswer: 7005*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -136 - -132. Let r(t) = -t + 1. Let h(u) = -1. Let y(c) = -3. Let l(x) = 4*h(x) - y(x). What is m*l(o) - 3*r(o)?\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l - l - 27*l**2 - 6 + 8 to the form m*l**2 + k + s*l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 3*h**2 + 2*h + 1. Let a be m(-1). Suppose z + a*z = 0. Let t be z + 1 + -2*2. Is -2 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3325, 6666, 10021, 13390, 16773, 20170?\nAnswer: 23581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -12*u + 40. What is the hundreds digit of h(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 4*d + 1221, 3*a - 3671 = -16*d + 12*d. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -710326.101 rounded to the nearest 10?\nAnswer: -710330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (5\/((-160)\/(-552)))\/(234\/624)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 205066 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17071 is divided by 1923.\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -4, 0.1, -1\/18, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 45, 108, 195, 306, 441, 600?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t + 0*t + t**2 + 23 + 11 - 8 to the form h*t + g*t**2 + z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(156) + sqrt(156)*-2 + sqrt(156) - sqrt(156))*-5 - (sqrt(156) - -5*1*sqrt(156) - sqrt(156)))\/((sqrt(12) - 1*sqrt(1200))*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -83572.\nAnswer: 3\/83572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -a49b4 (base 13) in base 6?\nAnswer: -10202402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**3*(x*x**(5\/8))\/x)\/((x*x**(-7)*x*x)\/x**(-1)) assuming x is positive.\nAnswer: x**(53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 2, 0, -1, 34 in decreasing order.\nAnswer: 34, 12, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 3*f + a - 9 = 0, -f - 5*a = -3. Suppose 5*l + s - 5 = 0, -2*s - 22 = -l + 2*s. What is the tens digit of 3225\/10*l\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 + 3*o - 11. Let f be l(-6). Suppose a = f*a - 42. Suppose 2*x + 2 = 8. Solve -t = x*c - a, -4*c - 2 = t - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 12*n**2 + 15*n + 19. List the prime factors of c(13).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 - 525950*q + 157080248.\nAnswer: 2*(q - 262676)*(q - 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 165 - 89. What is the lowest common multiple of 12 and l?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -4*x. Suppose x*m + 5 = m. Suppose s = 2*l - 6, m*s + 2*l - 12 = 3*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -105392726 to the nearest one hundred thousand.\nAnswer: -105400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.4 from -2931.4028.\nAnswer: -2931.0028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -27a (base 12) to base 7\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -21306, -21312, -21318, -21324, -21330, -21336?\n\"Answer: -6*j - 21300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 114*h - 109*h - d, -d + 4 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1566786801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50353.\nAnswer: 43, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iedhnhm. Give prob of picking 1 n, 2 h, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 3 - 3*p - 7)*(109 - 109 - 33*p).\nAnswer: 99*p**2 - 33*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-15))\/((4\/(-1))\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand g**5 - g**5 + 5*g**5 + (-4*g**5 - 4*g**5 + 6*g**5)*(4 - 3 - 2).\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.11758529 to 5 decimal places.\nAnswer: 0.11759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5749525214.\nAnswer: 2, 2874762607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -71, -140, -209, -278, -347?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*q + 34 - 33 + 23 + 9*q + 24*q to the form o + l*q and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1379663727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {h: 2, v: 4, m: 2, o: 3, y: 1, p: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t + 80 = -5*t. Let g = -172 + t. Is 23 a factor of 3*(g\/(-9) - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/(-4))\/((-2)\/4). Suppose -k = -c*k + 20. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -2.6. Let n = z + -3.4. What is the closest to 0.2 in -5, n, 3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 381, -90 in increasing order.\nAnswer: -90, 0, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -8*((2 - 0) + 0). Let y be (-28)\/n + (-3)\/(-12). Suppose 5*b + 8654 = -t, -7*t + 2*t = -y*b - 3440. What is b rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 - 6*v - 4. Let i be l(-6). Let k(f) = 0 - 3*f - 2*f**3 - 1 + f - f**2. Let c be k(-1). Put i, 1, c in descending order.\nAnswer: c, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2380, -24.\nAnswer: -2380, -24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/8 + (-541)\/(-4). Let f be 5 + 1 + -3 - 54\/(-90)*70. What is the highest common factor of f and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149 + 2*d - 4*d + 0*d + 2*d**2 + 0*d.\nAnswer: 2*d**2 - 2*d - 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 304, 679, 1054, 1429, 1804, 2179?\n\"Answer: 375*u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffuf when four letters picked without replacement from {u: 9, f: 7}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 1978*f - 298657. Calculate d(151).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -l + 5*b - 6, 10 = 3*l - 2*b. What is the lowest common multiple of (-1 - 0)\/(1\/(-6)) and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/10 - 11422*d\/5 - 3505791\/2.\nAnswer: -(d + 795)*(d + 22049)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 692*q + 4*i = 690*q + 16, -3*i = -2*q + 9 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of -j**6\/120 + j**5\/15 + j**4\/8 + 7*j**3\/6 - 41*j**2. Let q(x) = x**3 + 6*x**2 - 9*x - 9. Let g be q(-7). Determine t(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -9 - 6 - 4 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 58212 by 3.\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) - sqrt(160)\/(2*sqrt(8))) + (2*sqrt(200))\/sqrt(10).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 6\/107, 28\/25, -3, 0.5, -0.4?\nAnswer: 28\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of d**3\/3 - 52. Let m(t) = 34*t. Determine m(h(l)).\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 789, 5905, 19553, 45927, 89221, 153629, 243345?\n\"Answer: 699*b**3 + 72*b**2 + 7*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -11 times 1338\nAnswer: -14718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.06 - -0.24. Let j = y - 0.5. Let d = -0.1 - j. What is the nearest to d in 1, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-148)\/306*-3 + (-362)\/3077)*2\/12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + w - 25. Suppose w*c = c + 172. Suppose -194*k + 2*k = -3387 - 1029. What is the remainder when c is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*v + 847 + 1043 + 108*v.\nAnswer: 81*v + 1890","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91890557.\nAnswer: 11, 8353687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 8. Let d = u + -2. Let b = -66 - -263\/4. Sort b, d, -2 in ascending order.\nAnswer: d, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a century in years?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34759, -69471, -104187, -138907, -173631, -208359?\nAnswer: -243091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-361)\/(-285)*12 - (12 - -4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -597 + 295 + 4088*d**2 + 300 + d + d + d**3 in the form w*d**3 + b*d + p + k*d**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61906 is divided by 743?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2*f - 18. Let v be y(15). Let j = -3 + v. What is the least common multiple of 8 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*m**4 + 142*m**3 - 185*m**2 - 164706?\nAnswer: 20*m**3 + 426*m**2 - 370*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 853633?\nAnswer: 11, 71, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2684 - -129. Suppose t + 4*m - 1134 = -t, -5*t + j = -m. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54497 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 - (-1155)\/(-20))*1\/(-3). Let v = -37\/2 + j. Let t = 133 - 929\/7. What is the biggest value in 3, t, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + 8. Let z = 22 - o. Calculate the greatest common divisor of 84 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2 + 1591749*d - 170351490.\nAnswer: 3*(d - 107)*(d + 530690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1994 and 4437647?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -669 divided by -2.\nAnswer: 669\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61 + -31 + 19 - 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15410*h**2 + 24*h - 25*h + 396915 - 399941 wrt h.\nAnswer: -30820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oovvopvv. What is prob of sequence po?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6509890 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 429\/78 + 8\/(-2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.79 - 0.59. Sort 3, m, 9.\nAnswer: m, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 4*f**2 + 4*f - 7. Let r be -3 - -1 - (-1 - (0 - -3)). Let m(k) = -r*k**2 + k**2 + 4*k**2 + 3*k - 6. What is 4*b(q) - 5*m(q)?\nAnswer: q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2228068 and 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do 913 and 902 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (7 + -1)\/(6\/4). Let p(g) = -4*g - 3*g + u*g. Let a(b) be the first derivative of b**2\/2 - 1. Give p(a(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**(-10)\/g))\/g)**(-2\/25) assuming g is positive.\nAnswer: g**(-22\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvnhvivvnivviiv. Give prob of picking 1 i and 2 v.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 u, and 1 l when three letters picked without replacement from hhlwluwuunwwwulwu.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 15*n**2 - 2*n + 12. Let g be m(11). Suppose 4*u + 18 = g. Is u a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 + 4)\/((-39)\/(-26)). Let a(c) = -132*c**2 + 71*c**2 + 63*c**b. Let d(q) be the third derivative of q**4\/3 - q**2. Determine d(a(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15869630 and 560.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 160 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-5)\/(-5) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d + 7. Let j be t(11). What is the closest to 2 in 0.5, -8, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 3. Suppose -4*d + 4*s - 4 = b, -d - s - 3 = -0*d. What is the least common multiple of ((-36)\/30)\/(d\/10) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 475444594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 28*r**5 - r**4 + 59*r**3 - r**2 - 147336 wrt r.\nAnswer: 1680*r**2 - 24*r + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38832 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1188 and 204?\nAnswer: 20196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10926314 and 6.\nAnswer: 65557884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -13*v**4 + 47*v**2 + 120*v + 122. Let j(m) = -54*m**4 + 188*m**2 + 479*m + 495. Let c(g) = 6*j(g) - 25*q(g). Let c(o) = 0. What is o?\nAnswer: -5, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 14 = 2*v, 0*c = -3*c - 3*v - 3. Let m(g) = c - 5*g - 5 + 4*g. Calculate m(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 481*b**2 - 659071 + 3*b**5 + 659071 + (0*b**3 + 0*b**3 - 2*b**3)*(5*b**2 + 0*b**2 - 3*b**2).\nAnswer: -b**5 + 481*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -273*(-2)\/(-462)*-55?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 53829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 89026628 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {s: 4, h: 6, r: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 2*z = -34, -2*v = 6*z - 3*z + 11. Let h = -4 - v. Suppose m - 14 = -t + 2*m, -h = 3*m. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-eight fifths of a meter in millimeters?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (212*3\/48)\/((-1)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z**3 - 3*z**2 - 3*z. Let k be q(9). Let y = k + 1555. Calculate the common denominator of 10 and y\/80 + 4\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m**2 + 0*m**2 - 248*m - m**2 - 21*m - 132 - 313.\nAnswer: -m**2 - 269*m - 445","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g - 3*g + 7*g)*(18*g - 10*g - 63*g).\nAnswer: -110*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*y = 42*y - 29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + -1 - (3 - 4). Let t be (6\/24)\/(58\/40). Let i = t + -151\/203. Which is the second biggest value?  (a) j  (b) -0.1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 5) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 12010547 (base 9) to base 15\nAnswer: 7a92aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 195 a factor of 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106*k = 109*k + 2*h + 21, 2*h - 9 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/80 and 49\/17090.\nAnswer: 136720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 25 = 4*t, -2*t + 3*m = 7*m + 18. Let b be (-2)\/t + 130\/35. Let x(l) = 21*l + 4*l**2 - l**3 + 19*l + 1 - l**2 - 36*l. Calculate x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.18  (b) -0.4  (c) -10  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78)\/(sqrt(6) - sqrt(96)) + 3)**2 - -2*(sqrt(468) + 0)**2.\nAnswer: -2*sqrt(13) + 8518\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 5*z**2 + 29. Let r = 13 + -10. Let u(y) = -4*y**2 - 30. Let j(p) = r*h(p) + 2*u(p). What is the derivative of j(w) wrt w?\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of -2*l**2 + 1\/105*l**7 + 0 + 0*l**6 + 1\/30*l**5 + 0*l + 0*l**3 + 0*l**4. Find the third derivative of y(a) wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-30)\/(-150) - (-4)\/(-10). Let v = 5 + -3. Is p < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -745633*c*y**2 + 9*y**2 - 104277 wrt c?\nAnswer: -745633*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1444*t + 4218 = 1485 - 1519 - 4412 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) 1\/6  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 - 4*t - 3. Let p be b(5). Suppose 2*a - 167 - 94 = l, -264 = -p*a + 4*l. What is the greatest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00044850553 to five decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of -4*f**5\/5 + f**4\/12 - 289*f**3\/3 + f**2 - 51. Differentiate t(o) wrt o.\nAnswer: -96*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -9*b - 40. Let s(k) = 2*k + 10. Let u(h) = 26*s(h) + 6*z(h). What is the units digit of u(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 4:43 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 14*z - 99*z**3 - 4*z**2 - 93 - 10*z**2 + 202*z**3 - 101*z**3. Let x be q(7). Solve -41 = -x*y + 5*f - 11, 0 = 4*y - 5*f - 29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r*r\/(((r\/r**3*r)\/r)\/r)*r)\/r)**(-2\/43)*r**(4\/15)\/(r*r\/(r*r\/r**(-8\/11))*r*r*r) assuming r is positive.\nAnswer: r**(-16213\/7095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - -1 - (-14)\/(-8). Let v(b) be the first derivative of 0*b - h*b**4 - b**5 - b**2 + 5\/3*b**3 + 1\/2*b**6 + 1. Solve v(w) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 + 11*k**2 - 16. Let q(v) = -6*v**3 - 55*v**2 + v + 80. Let z(s) = 2*q(s) + 11*t(s). Determine z(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - 2)*(1 + 2). Let d be (-1)\/(1*2\/(-4)). Find the second derivative of -c - c + c - d*c**n wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 743 = 5*k, -3*k - 940 = -5*n - 8*k. Let r = n - 133. What is the smallest common multiple of 16 and r?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 j when three letters picked without replacement from {k: 3, n: 8, j: 3, u: 1, c: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(1*(8\/(-1))\/(-40))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1320545826 a multiple of 2582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 70*1\/276 - 80\/920\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - l = 3*j + 1047, -5*j + 1056 = 2*l. Suppose 0*v + q - 340 = -3*v, 2*v + 4*q - j = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 10*c**3 + 58*c**2 - 530*c - 3. Let v(j) = 26*j**3 + 117*j**2 - 1059*j - 7. Let q(p) = -3*v(p) + 7*w(p). Find the second derivative of q(b) wrt b.\nAnswer: -48*b + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.59615ug in nanograms?\nAnswer: 70596.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 + 12.5. Do d and 5\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 176263 and 893?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -29d5b (base 15) to base 7\nAnswer: -1100345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of 7*u**7\/11 + 33607*u**6\/220 + 2859*u**5\/55 - 1235*u**4\/11 - 1096*u**3\/11 + 1512*u**2. Find x, given that m(x) = 0.\nAnswer: -137, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -4\/45 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000029432 rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.14805 millilitres to litres.\nAnswer: 0.00114805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 9:23 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -737*g + 10. Let f(k) = k + 3. Calculate 4*f(d) - i(d).\nAnswer: 741*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 518\/5 - 104. Which is the third biggest value?  (a) 0.2  (b) -0.3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 5 = -646*i + 647*i, i + k = -15 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.466 + 0.23. Which is the nearest to -0.2?  (a) w  (b) 5  (c) 2  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (((-6200)\/30)\/5)\/((-1)\/(-3)). Let a = -110 - g. What is the lowest common multiple of a and 5*-14*2\/(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26903695*i - 10965682.\nAnswer: -26903695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**3 + 15*i**2 + 15*i - 43. Let m(c) = -5*c**2 + 21 - 11*c - 3*c**2 + 4*c - c + c**3. Let b(p) = -9*m(p) - 4*q(p). Is b(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*c + 8*c - 8*c)*(2 + 4 - 4)*(0 + 0 - 1).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 153182 by 2849.\nAnswer: 153182\/2849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 110175407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -79.1673 - 0.0327. Let v = -78.9 - z. Let q be ((-1)\/2)\/((-2)\/(-8)). What is the second smallest value in v, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.27  (b) 446185  (c) -0.1  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1045216 + 1045224.42294. Let r = -1120 + 1111.57. Let a = k + r. What is a rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2623902 is divided by 437153.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(2\/5))**(-18)*g**(2\/45)\/g*g**(1\/10) assuming g is positive.\nAnswer: g**(-469\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5000) + -1*sqrt(5000)*-1 + sqrt(5000) + sqrt(5000))\/((-2*sqrt(90))\/sqrt(9) + sqrt(160)*-2).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 4*w**3 + 3*w**2 - 16*w + 4. Suppose -13*j + 78 = 13*j. Let k be u(j). Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 10 = 0, -z + 8 = 4*b - 3. Is (1\/2)\/(z\/84) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 17*q**3 - 80\/9*q + 2\/9*q**4 - 148\/3 + 41*q**2 = 0. What is q?\nAnswer: -74, -2, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2. Suppose -4 = -t - l + 6, 5*l + 60 = 5*t. Let k = t - 6. Let o(b) = -k*b + 8*b - 2*b. What is o(r(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/18 + (-215)\/(-1650))*-5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1 - (-1704)\/15 - (-6)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 40891*l**5 - 58*l**3 + 877278*l wrt l?\nAnswer: 817820*l**3 - 348*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, 27, 64, 115?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 168673785 and 132405.\nAnswer: 10185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-34)\/(-85) - ((-3756)\/(-15))\/(-4). Let y be ((-66)\/t)\/(-11)*3. Let j = 0.1 + 0.1. Which is the nearest to y?  (a) -1\/3  (b) j  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9856735*m**2 - 7719868*m?\nAnswer: -19713470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 365947 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -4*d**3 - 182*d**2 + 104*d + 552 = 0.\nAnswer: -46, -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34420 is divided by 11382.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3600)\/sqrt(6)*-6)\/(sqrt(72) + 1*sqrt(72) + sqrt(8)\/sqrt(4)*-5).\nAnswer: -60*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g = 13*g - 5*g - 69. Let o(x) be the second derivative of 0 - 2*x**2 + 0*x**g - 10*x + 1\/3*x**4. Find v, given that o(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49616 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13273394 is divided by 219.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 2)*(0 + 1 + 2)*(0*c - c + 2*c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.6658381 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -8234 less than -0.98?\nAnswer: 8233.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-4)*(-9)\/((-18)\/(-28)). Suppose 0 = 3*f - 3, -2*t + 2*f = -7 - v. Let z be (4 - 28\/t)\/((-1)\/(-10)). Solve -z*n + 8 = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - m + 1. Let v = 38 + -27. What is the smallest common multiple of v and c(-2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1205194247 to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 189\/21*28\/18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 17935 + 18170 = 0 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 8808 divided by -6\nAnswer: -1468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7644419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1785964 = 5*v - 4*l + 599629, 5*v - 3*l - 1186340 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3\/457 + 448\/1371. Let x(c) be the first derivative of -h*c**3 + 0*c + 1\/5*c**5 + 0*c**4 + 1\/4*c**2 - 1\/12*c**6 + 6. Determine i so that x(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.08 - -12.08. Let k = 159.8 - 147.809. Let u = r - k. Round u to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + (-892)\/264 - (-2)\/6. Which is the nearest to 1\/4?  (a) 0  (b) u  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from jssjzsjszzz.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j*j\/(j**(-3\/5)*j)*j*j)\/j)\/((j*j**(1\/13))\/j))\/(j\/(j\/(j\/(j\/(j*j\/(j\/j**(2\/7)*j*j)))))*j**(-2\/7)))**45 assuming j is positive.\nAnswer: j**(2061\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8784.3 + 8814.2954. Let s = 30 - m. What is s rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*l + 2480 = 2320. Solve -33*v - 169 = -l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-170.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + p = -5, -3*v - 6*p - 25 = -p. Suppose 3*f + 5*i - 52 = 0, -5*f + i + i + 35 = v. What is the units digit of (f\/(-6))\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -150, -763, -1808, -3303, -5266, -7715?\n\"Answer: -3*u**3 - 198*u**2 + 2*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -582*y**2 + 11*y. Let m(n) = -194*n**2 + 4*n. Let v(t) = 11*m(t) - 4*w(t). Let l(i) = 2*i**2. Determine v(l(f)).\nAnswer: 776*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (5090\/1050 - 7)*(3 + (-339)\/108) and 53\/28.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7832740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-6\/7)\/l)**(1\/46)\/(l**22\/(l\/(l\/l**(-1\/15))*l)) assuming l is positive.\nAnswer: l**(-101947\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 60, 67, 74, 81, 88, 95?\n\"Answer: 7*j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -11030210 (base 4) to base 2\nAnswer: -101001100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 249 and 166.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 897304 and 22?\nAnswer: 9870344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -506, 3, -1, 9, 237 in decreasing order.\nAnswer: 237, 9, 3, -1, -506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 302 a factor of 23229840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((-36)\/39) + (-3124)\/(-264)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -11*u**2 + 6*u - 2. Let z be l(5). Let a = 4941\/20 + z. Suppose -3 + 0 = -3*v. Which is greater: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - 10 - 66*u - 4 + 65*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -0.7  (c) 5  (d) 17  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2797 or -402018?\nAnswer: -402018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -16*b**2 - 29*b**2 + 47*b**2. Let v(o) = 2*o**2 - 3*o**2 + 0*o**2. What is a(v(c))?\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from boxbbxbxbxbo. Give prob of sequence xxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 288 (base 10) in base 7?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of 343*l**6\/6 - 1151*l**3 - 5582*l. What is the second derivative of n(y) wrt y?\nAnswer: 20580*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 - 7*x**2 + 6*x - 3. Let b be h(6). Let j(f) = 17*f**2 + 5*f + 3. Let z be j(b). Let a = -101 + z. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -129 + 272 + -157 - (-1 - (20 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7129339106?\nAnswer: 2, 19, 743, 252509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -77, -126, -177, -230, -285?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -15*w**2 - 2. Let g(m) = -60*m**2 - 9. Let y(u) = 9*b(u) - 2*g(u). Let t(d) = 5*d. Calculate y(t(i)).\nAnswer: -375*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15868213?\nAnswer: 67, 163, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*t, 3*a - 6 + 22 = -5*t. Let x = 583617\/18403 + 3\/2629. Let h = x + -32. What is the biggest value in h, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -0.6  (c) 1\/7  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*o + 50*o - 351 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - r + 5*r = 17, 79 = -2*p - r. What is the common denominator of (-119)\/(-340)*p\/(-7) and (-2 + 102\/(-4))*(-1)\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 799522 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 63, 167, 365, 687?\nAnswer: 1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1026, 1118, 1224, 1350, 1502, 1686?\n\"Answer: n**3 + n**2 + 82*n + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26188118 by -4042.\nAnswer: 6479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26.75 * 0.06.\nAnswer: -1.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6120911 to the nearest integer?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of 5*k**3\/6 - 3*k**2\/2 + 5*k. Let l be v(4). Let r = -8 + l. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32\/(-240))\/(2\/(-20)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + w = -13, b + 897*w - 894*w + 13 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 59081099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/5 at most as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -2*sqrt(3)*-6 + 0 + sqrt(108) + 2 + ((0 + sqrt(3))*-5 + sqrt(3) - sqrt(3)))**2.\nAnswer: 52*sqrt(3) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 80 - 80. Which is the nearest to -3\/7?  (a) -1\/9  (b) s  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 4*z - 1. Let c = -9 + z. Suppose c = -4*m + 2*j + 20, 0 = 4*m - 4*j + j - 22. Solve m*r = -3*n - 16, -12 = -5*n - r + 4*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, q: 4, l: 7, u: 3, b: 1}. What is prob of sequence ul?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*x**2 + 19*x + 438 wrt x?\nAnswer: 10*x + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5141 (base 6) to base 5\nAnswer: 14031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 836 in 0, -1, -3, -11, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = 2*v + 27, -4*v + 46 = -4*y + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-18)*(154\/(-112))\/11.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 + 3)\/(26\/(-247)). Let i = f + 25. Let c be (4\/i)\/(2\/6). Solve -3*g + 3 = 5*p + g, 3*p + c*g - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 14*l = 0. Solve l = -6*z + 11*z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lil when three letters picked without replacement from slvllsiiv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 2 = 62. Let u(j) = -2*j**2 - 9*j + 18. Let d be u(f). Let i = d + 41. Solve -2*w + i*w = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (64\/(-20))\/(4 - (-786)\/(-195)). Calculate the greatest common divisor of 26 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 77882460 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 532294380.\nAnswer: 2, 3, 5, 2957191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*x**4\/3 + 16*x**3\/3 - 15*x**2 + 6*x.\nAnswer: x*(x - 1)*(x + 3)*(11*x - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*m + 0*m + 36 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-20)\/(-8))\/((-1)\/(-2)). Let s = 1221 - 657. Let l = 566 - s. What is the third biggest value in 2\/11, h, l, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 - 4*s**2. Let i be g(-4). Let k(v) = -2*v**2 - 38*v + 9. Let h be k(-18). Let y be 20\/9 + (-10)\/h. Sort y, -1, i.\nAnswer: -1, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 4*r = 3820, 13*a - 9*a = -3*r + 5060. Let o = 246 + a. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -118 - 315. Let z = k + 1007. List the prime factors of z.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/(-5))\/((-8)\/(-10)). Let b = 187.03 + 3.97. Let l = b - 188. Which is greater: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396)\/(sqrt(704)*2))\/((1*sqrt(132))\/sqrt(11) + sqrt(192)\/sqrt(4)).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2469 + 4159 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -14*l - 38. Let f(b) = -2*b. Calculate 6*f(j) - z(j).\nAnswer: 2*j + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence su when two letters picked without replacement from {e: 3, c: 1, s: 2, p: 5, u: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m - 1. Let q(j) = 4*j + 6. Give 5*c(s) + q(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of 1121*h**4\/3 + 1160*h**2 + 2575*h. What is the derivative of r(d) wrt d?\nAnswer: 8968*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (-425)\/45 - (-42)\/135\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77, -96, -127, -170, -225, -292, -371?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/4  (b) -76  (c) 0.2  (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttlltttttltlt. Give prob of picking 2 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/2214 and 107\/126.\nAnswer: 15498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1990 from -28.971724.\nAnswer: 1961.028276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 124991 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -65 in ascending order.\nAnswer: -65, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/532)\/(9 - 610\/70).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1145515 and 134435?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*f**6 - 11257*f**5 + 5227*f**3 - 537*f**2 - 167534 wrt f?\nAnswer: 240*f**3 - 675420*f**2 + 31362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 16*f**2 + 139*f. Let z(n) = -14*n**2. Give o(z(b)).\nAnswer: 3136*b**4 - 1946*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -65 in 2641, -0.4, 3, -0.6, 3\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00013488364 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -314 divided by 157.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -10 - 1 - 11) + 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/(sqrt(2) + sqrt(200)*-2).\nAnswer: -sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3779988 = h + 2*h. Let b(s) = -s**2 - 8*s + 7. Let j be b(-7). Let z be (-4)\/(-14) - h\/j. Round z to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1149909247 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32 - -31. Let t(p) = p + 1. Let l(c) = -12*c - 18. Give n*l(a) - 18*t(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 4  (c) -179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -2  (b) 1\/2  (c) -1\/555  (d) 0.42  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12c6 + -8995?\nAnswer: -9c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -10865*b**2 - 3 + 12228*b**2 + 4 + 0 + 0 + b**2 + (b + b - 4*b)*(-1 - b + 1) + 14*b**2 - 5*b + 5*b in the form d*b + m*b**2 + i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 2, s: 5, h: 1, t: 1, x: 1, k: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -175 - -9?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y**2 - 2*y**3 - 3 + 7*y**2 + 4 + 2. Is a(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, 12, 4, 5, -11, 0.\nAnswer: -11, 0, 4, 5, 12, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2260.74 at least 493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-986)\/(-435)*-5 + 12 + 176\/(-3).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6*(-3)\/(-6) + 96\/24. Let s(d) = d**3 - 7*d**2 - 3. What is s(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1323416 is divided by 305?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 3\/19, 12, 104, 18\/19?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 794602 and -4?\nAnswer: -3178408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 = -4*a + 23. Let z(b) = b - 30. Let s be z(a). Solve 0 = u + 5, -5*n - u = -s*u - 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -2\/83, -3889?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88 divided by -1.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1 + sqrt(7))*4 + sqrt(56)\/(-4*(sqrt(8) - (sqrt(8) + (-2*sqrt(8) - sqrt(8))))))**2.\nAnswer: 1148*sqrt(7) + 659527\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22901, 22965, 23147, 23507, 24105, 25001, 26255, 27927?\nAnswer: 30077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 10:18 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1 - 4.527.\nAnswer: -4.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, 3\/5, -5.57 in descending order.\nAnswer: 3\/5, 0.04, -5.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -5*d + 42. Suppose s + 2*c + d = -c, -6 = 3*c. Let g be (s - (-17 - -4))\/1. Is g != 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**4 + 3568*r**3 - 3568*r**3 + 72*r**2 + (1 - r**2 - 1)*(-r - 3*r - 4*r)*(2*r + 2*r - 6*r).\nAnswer: -15*r**4 + 72*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + b = -42. Suppose -v = -a - 1, -v - 4*a + b = -2*v. Find the first derivative of 6 + v - 1 - 3 + z wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -168\/25 - -411\/50. What is the biggest value in 4, -0.5, 1.51, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89576 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 19*b + b. Let q(k) = -4 + 5 + 4*k + 2 + 2. Let i(d) = -23*d - 25. Let h(g) = -11*g - 12. Let t(l) = -13*h(l) + 6*i(l). Give b*t(a) + 4*q(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 486 and 9005246?\nAnswer: 9004760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pttj when four letters picked without replacement from {j: 1, t: 3, p: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1d32a9 + 1d?\nAnswer: -1d328a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-164 - -176) + (-22 - 0)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 60916*c**3*q*u + 2*c**3*q + 2*c**3*u**2 + 4*c**2*q*u**2 + 307*c**2*q - 1139*q*u**2 - u**2 wrt c.\nAnswer: 365496*q*u + 12*q + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0364 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 11:12 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/2)\/((-710)\/568)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24784 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(1\/5)*(k**3*k)\/k)\/(k\/(k\/(k**(-1)\/k))*k)**32*(k**3*(k*k**(-10))\/k)**(-4\/25) assuming k is positive.\nAnswer: k**(933\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*a**3 - 161*a - 1 - 7*a**2 + 160*a + a**4 - 4*a**4 as v*a**4 + k*a**2 + o + h*a**3 + b*a and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 24 = -3*p, -4*z + p = -5*z + 4. Suppose 5*r - 30 = -2*u, -r + z*r - 3*u - 30 = 0. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - (0 - 0))\/2. Find the first derivative of -3 + 0*h**2 + 2*h**2 - 3 + i*h**2 wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(-1 - 1) - 2. Let k = -411 - -470. Let j = k - 55. What is the third biggest value in j, 5, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of -s**6\/120 - s**5\/12 - s**4\/24 - 7*s**3\/6 - 3*s**2\/2 - 4*s. Let r(u) be the first derivative of d(u). Is r(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m. Let k(p) = 234*p - 390*p - 306*p. Give k(r(g)).\nAnswer: 462*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 5*z - 7. What are the prime factors of g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 85 = -12*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i**2 - 12*i. Let p be (-181)\/(3\/(-24)*-4). Let q = 361 + p. Let z(k) = -k**2. Give q*x(c) - 3*z(c).\nAnswer: c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 109103 by -3.\nAnswer: -109103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fwwwkkfnn. What is prob of sequence fk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100011101101111 + -100?\nAnswer: -100011101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -307\/4 - -78. What is the common denominator of -25\/7 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -912, -1827, -2738, -3645, -4548?\nAnswer: -5447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o**4\/3 - 280*o**3\/3 + 12200*o**2\/3 - 56000*o + 240000 = 0. Calculate o.\nAnswer: 10, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 + -12. Suppose -n*u + 0*u = 15. Let k(t) = t**2 + 2*t - 2. Determine k(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and -349.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {f: 1, s: 2, t: 2, p: 6, r: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -158*b - 1. Let a be o(5). Let u be (-2 + 3)\/(7\/a). Let t = u + 181. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 1974, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8.3 - 8.81. Let h = r - -0.21. Let v = 14.3 + -14.4. Sort h, v, 0.057 in increasing order.\nAnswer: h, v, 0.057","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 100 - 93. Let q be (-2991)\/(l\/((-70)\/(-15))). Is (2 + (-1 - -2))*q\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w**2 - 3 + 11*w + 8 + 10*w**2 - w**2 + 10*w**2.\nAnswer: 18*w**2 + 11*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -7*k + 4. Let y(p) = -p**2 - 14*p + 18. Let j = 200 + -215. Let q be y(j). What is n(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 3\/8  (b) -2  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 16) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3380 a factor of 933691200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 65581200 divided by 900\nAnswer: 72868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 19, -2\/13 in increasing order.\nAnswer: -2\/13, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -q + u, 10 + 0 = -q + 2*u. Let y be 15\/(-10) - q\/(-4). Let v(m) be the third derivative of m**5\/60 + 5*m**4\/24 + 2*m**3\/3 + 6*m**2. Calculate v(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.08  (b) -2  (c) -2\/5  (d) -3  (e) 0.008  (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*n - 18 - 3 + 50 - 17*n + 12*n to m + y*n and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -6776 + 25*v - 6779 - 21*v + 20332 - 6777. Let n(y) be the third derivative of -y**5\/30 - y**2. Determine n(w(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1823, 1802, 1765, 1706, 1619, 1498, 1337, 1130?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 15*k + 14. What is z(16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2693375 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8607357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**5\/15 + 4*s**4\/15 - 2*s**3\/15 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1658478, -1658487, -1658494, -1658499?\n\"Answer: j**2 - 12*j - 1658467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a - 2. Suppose 3*t - 64 = -t. What is the remainder when 52 - (0 + -1*1) is divided by v(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12ab76 (base 14) to base 16\nAnswer: 9d504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(((-45144)\/(-10944))\/((-6)\/(-8)*1))\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*y - 11998 = 3089. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a centimeter in millimeters?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 135935 - 2310882\/17. Let c = -1 - -1. Is c at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/5))\/o*(o**(-7\/4)\/o)\/o assuming o is positive.\nAnswer: o**(-83\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -32575 divided by 6734\nAnswer: -32575\/6734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-2\/11)))\/(u*u**3) assuming u is positive.\nAnswer: u**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-9)*k\/((k\/k**(-1\/9)*k*k)\/k*k)*(k**(-11))**(-39) assuming k is positive.\nAnswer: k**(3761\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3705219 from -0.1.\nAnswer: 3705218.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 1311*k + 2650. Let s(j) = -1308*j - 2652. Let u(c) = -3*o(c) - 4*s(c). Find the first derivative of u(i) wrt i.\nAnswer: 1299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*a - 2 + 62*a + 3 + 40*a - 42*a to the form w*a + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(175))*-2 + -3)**2.\nAnswer: 20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - 4. Let m = q - -8. Solve 0 = u + 3*z - 3, 5*u - 7*z + m*z + 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54 + 54 + 18*f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -227*a**4\/12 + a**3\/3 - 4081*a**2\/2 + 937*a. What is the derivative of n(c) wrt c?\nAnswer: -454*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 43287 and 282?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*y - 11*y + 4*y + 60 - 2)*(438 - 438 + 4*y) in the form n + w*y**2 + c*y and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of -q**4\/12 + 10*q**3\/3 - 15*q**2\/2 - 2*q. Let f be r(19). Suppose u = 3*a - 4*a, 3*u = f*a. Solve a = -4*i - 5 - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3129*c**3 + 1464396*c**2 - 171342756*c + 1314144.\nAnswer: -3*(c - 234)**2*(1043*c - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 217301617*s**3 - 8781*s**2 + 4001 wrt s.\nAnswer: 1303809702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -456, -0.1, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 + 12*j + 9. Calculate m(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2 and 42.37.\nAnswer: 44.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = 25, -4*s - 4 = -2*n + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 76 - 302. Let r = h + 322. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45 - -885. Is x a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(2\/3)*x*x)\/x)**(-3\/11)*x**6\/x**(-2\/11) assuming x is positive.\nAnswer: x**(63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 4*f + 67. What is the tens digit of g(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 167.23 - 168. What is r rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lttt when four letters picked without replacement from {t: 14, l: 4}?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 + 8*x**2 + 8*x + 6. Suppose -4*s - 55 = 2*u + 3*u, u + 17 = -2*s. Let w be j(u). Let r(b) = 6*b**2 - b - 1. What is the units digit of r(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -434.848274 rounded to 2 decimal places?\nAnswer: -434.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - 1 - (189 + -180)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0045546002 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3808345752?\nAnswer: 2, 3, 211, 250681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12264*k + 8*k**3 - 49061*k + 12270*k + 12262*k + 12265*k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 - 86*d - 409. Give i(-81).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27.3 - -154887.\nAnswer: 154859.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 102  (b) -2428  (c) 3  (d) 2\/3  (e) 1\/5  (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qfqefeqfqqf. What is prob of picking 1 e and 3 q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r = -9*r + 96. Let q be (-14)\/77 + r\/22. Suppose -3*o - 2*g = g + 3, -3*g = -q*o + 23. Solve n = -o*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1101010010120 (base 3) to base 2.\nAnswer: -10110010010110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of 29*y**4 + 20*y**2 - 165. Find the second derivative of t(r) wrt r.\nAnswer: 696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1116 divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -99991*m + 89632 wrt m?\nAnswer: -99991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7132663 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 119, 235, 337, 419, 475, 499, 485, 427?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/209050 and 83\/459910.\nAnswer: 2299550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + 13*t**2 - 12*t - 16. Let p be u(12). Let k = 21 + p. Suppose 5*r - 7*r + k*b = 10, 0 = 3*r - 5*b + 15. Is -1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 225*t**3 + 1956369*t**2 - 29448420*t + 783900 = 0. What is t?\nAnswer: -8710, 2\/75, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -4*z + 4 + 12, 0 = -3*w + 5*z - 20. Let s = w + 3. Suppose 20 = 5*l - 3*x, -2*l + s = -3*l + 2*x. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 - -4.9. Let x = 2 - 4. Let t = -14 + 16. What is the nearest to t in -1\/2, x, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-30)\/56 + (-2)\/(-8). Let y(z) = -z**3 - 5*z**2 - 5*z - 5. Suppose -a = 4*m, 0*m - 4*m = -5*a - 24. Let p be y(a). Are p and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -122 + 368\/3. Is p at least 20\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -28464.\nAnswer: 3\/9488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from zuuuuuzzuuu.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-68 - -9) + (10 - (27 + -10 + 1)) + 8.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-11))\/(117\/(-78))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 22*y + 24*y - 43*y. Solve -2*z = -2*a - 8, z - 14*a = -y*a + 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/51)\/(x\/(x*x**26)))\/(x\/(x**(-1\/5)\/x*x)*x)**(-2\/105) assuming x is positive.\nAnswer: x**(232774\/8925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w. Let x(r) = 6165*r**2. Give x(s(u)).\nAnswer: 6165*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2403 + -2307. Solve -j + 88 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -j**4\/24 + 19*j**3 + j**2 - 620*j. Let b(x) = -3*x**2. Give y(b(w)).\nAnswer: 3*w**2 + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c - 35*c - 2*c + 27*u - 141 = 22*u, -2*c + 4*u - 48 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*i*t**3 + 37*i*t**2 - 158*i + 21*t**3 - 34393 with respect to i.\nAnswer: -5*t**3 + 37*t**2 - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/4 - (-72)\/32. Suppose 0 = -4*w + h*w + 28. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, b: 1, j: 1, g: 1, q: 1, d: 1}. What is prob of picking 1 q, 1 a, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -2382, 1 in descending order.\nAnswer: 1, -3, -4, -2382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1120132 (base 5) to base 16\nAnswer: -4e4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2683600801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - (-19 + 5)) + 7 - 7 - -10.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -8\/27201?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**5\/7 + 218*d**4\/7 - 610*d**3 - 96746*d**2\/7.\nAnswer: -2*d**2*(d - 61)**2*(d + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45 (base 12) to base 16.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -23. Let n = f + 15. Which is the biggest value?  (a) n  (b) 0.4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -3859*p**2 + 2952135*p - 2. Calculate d(765).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by -24121609.\nAnswer: 8\/24121609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/(-5))\/(3\/(-15)). Let f(u) = u**2 + 5*u - 3. Let m be f(l). Solve -4*z - 13 = -0*z + m*s, 5*s = 3*z - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**4 - c**2 + 0*c**4 + 12*c**2)*(-10*c - 16*c - 21*c).\nAnswer: 47*c**5 - 517*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 35 * 230\nAnswer: 8050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of f**3\/3 - 7*f**2 + 22*f + 23. What is the remainder when c(16) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 69, 137, 205, 273, 341, 409?\n\"Answer: 68*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n + 5. Give u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -6*a + 2*a**3 + 2*a - 2*a + 84*a**2 - 5 - 80*a**2 + 1. Let s(u) = u**2 - u - 1. What is j(c) - 4*s(c)?\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -172650*g + 152. Let k(z) = -24*z. Give k(m(x)).\nAnswer: 4143600*x - 3648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-5 + (sqrt(153) - (sqrt(153) + 1 + sqrt(153) + 4) - (sqrt(153) + (sqrt(153) - (-5 + 1 + sqrt(153))))))**2.\nAnswer: 168*sqrt(17) + 808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -80 and 14?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**2 + 3*g + 1. Let r be p(-3). Suppose -r = -4*b + 7. Let n = -3 - b. Put -4, 1, n in increasing order.\nAnswer: n, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 2.4. Let y = -116 + 111. Which is the biggest value?  (a) 0  (b) y  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) + sqrt(1100) + -1*(sqrt(1100) + -1) - (-1 + sqrt(1100))*1) + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*u + 11*u - 2 - 5)*(-2*u - 3 + 3)*(u + 1 - 1).\nAnswer: 6*u**3 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 14, -3, -4, -5, 3, -55 in decreasing order.\nAnswer: 14, 11, 3, -3, -4, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -18*d**5\/25 + 3*d**4\/20 + 31*d**3\/15 - 19*d**2\/10 + 3*d\/5 - 35. Determine p so that f(p) = 0.\nAnswer: -3\/2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5508 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 - 18*q**4 - 5*q**3 + 16*q**4 + 0*q**3)*(-4 + 9 - 1).\nAnswer: -8*q**4 - 20*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 177 - ((-8)\/(-28) - 12\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -6 - 24*z + 12*z + 8*z + 3*z. Let f be v(-10). Solve 7*g - f = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/22738 and -41\/113690.\nAnswer: 113690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/q**22))\/q)**(-37) assuming q is positive.\nAnswer: q**(-777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 5 = -3*h - 1, 7 = 4*h + 3*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1190, 14\/9, 0.16 in increasing order.\nAnswer: 0.16, 14\/9, 1190","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 9904?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40765*n + 40827*n = 434 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1363.4 - 1363. Which is the nearest to 0?  (a) 18  (b) 0.2  (c) 0.35  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -334 and 18478880.63.\nAnswer: 18478546.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 34.838 * 3\nAnswer: 104.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/8 - (-117)\/52. Suppose -d*u + 3*o + 4 = 5*o, -u = -4*o - 2. Is 1823\/10*u + (-14)\/(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 149 is divided by (298\/(-5))\/(((-6)\/4)\/((-150)\/(-40))).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1325326 (base 7) in base 16?\nAnswer: 2aaa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f**3\/2 + 719*f**2\/2 - 16953*f + 152532 = 0.\nAnswer: 12, 38, 669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -6*d - 22. What is l(-17)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 9*r**2 - 70*r + 1. Let k be b(14). Sort 3, 271, k in descending order.\nAnswer: 271, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -188714089*x + 15482116 wrt x?\nAnswer: -188714089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 4 - b - 5 + 6. Let t be v(5). Suppose -5*r = 8 - 28. Solve 0*z + 4*z - r = t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {f: 1, l: 1, x: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three quarters of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + 29. Let k = -142 - -160. Suppose -16 + k = p. Solve p*a + a + l = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 866298 + (13 + -51 - -22) 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 8:34 PM and 11:51 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (231 + 382 + 113)*(-3 - 1 + 5)*(-2 + 2 + n).\nAnswer: 726*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 48*w**4\/7 - 1934*w**3\/7 + 12304*w**2\/7 + 17406*w\/7 - 114624\/7 = 0.\nAnswer: -3, 3, 199\/24, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n + 42, -101239*y + 101244*y + 4*n + 56 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 + -12. Let l = b - 9. Let a = 12 + -23\/2. What is the closest to 0.1 in a, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 130548 divided by 11868\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((3\/(-9))\/(23\/(-23)))\/(192\/54144)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183872*t + 1092 = -183914*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/7 - (-5 + (-72)\/7). Suppose q*o - 10*o - 700 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 45*r**2 + 188*r - 47. Determine z(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-1 + 1) - ((-128 - -56) + 66)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3 - 1 + 7*r + 2. Let f(n) = 2*n - 2 + 4*n + 0 + 0*n. Suppose 89*x - 90*x = 6. Determine x*f(p) + 5*a(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -5. Let v = j + -0.2. What is v rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 149 - 155.1. Let h = p + 6. Let l = h - -0.025. What is l rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -209, -273, -381, -533, -729, -969, -1253?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 167*x - 178. Let a be s(6). What is the highest common factor of a and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 + 8*o + 3. Let n = 0 - 8. Let s be z(n). Suppose 5*j = r + 37 + 94, 0 = 3*j - s*r - 69. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26*(-170)\/7735*(-217)\/4\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 + 1)*(3 - 7 + 1)*(5*r - 3*r + 0*r).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.028 + 0.113. Let x = s - 0.085. What is the smallest value in x, -1\/8, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + 8*t**2 - 17*t + 4. Calculate the remainder when l(-9) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -4, 14, 0.2, 21 in decreasing order.\nAnswer: 21, 14, 0.4, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 295.86 + -296. What is the nearest to v in -1\/3, 3\/2, 4, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 PM and 3:50 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 392181 = 98120. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 21659, 43320, 64981, 86642, 108303, 129964?\n\"Answer: 21661*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 r when three letters picked without replacement from {c: 4, r: 1, f: 5, j: 6}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 3*o = 16, -22*o + 16 = -4*c - 18*o. Are c and -5\/27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 92d - 0?\nAnswer: 92d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 31 (base 8) to base 9\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -191 + 69. Let c = n + 271. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwfwf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m - 3*m + 2*m)*(-1 + 4 - 1) + m + 0*m + 3 - 2*m.\nAnswer: -3*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 + u + 41. Let l = 54 + -33. What is the remainder when k(0) is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of 1\/12*s**4 + 0*s + 28*s**2 + 0 + s**3. Determine m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*m - m - 2*m)*(-61 - 33 - 5)*(-3 + 3 - 2) + (-m + m - 2*m)*(-2 + 0 + 3).\nAnswer: 592*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j - 7*j + 3*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -116.5 + -71. Let z = p + 187. Which is the nearest to 0.024?  (a) z  (b) 1  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1533942 and 114483.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6824510?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 34 + -1 + -2 + 1. Let h = 73 + j. Suppose -w + 6*w = 3*n + 141, -4*w + 102 = 3*n. Calculate the remainder when h is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vnh when three letters picked without replacement from nvnnnninivivh?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 255*y - 525*y - 3*y**2 + 270*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 - 49*h**2 + 136*h + 98. Determine l(46).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53533 is divided by 1274.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27 + -16. Let f = 6 - r. Let l = 3 - -1. Which is the nearest to 0?  (a) f  (b) l  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -5*b + 41, 3*s - 2*b - 5 + 3 = 0. Suppose -35 = -3*m + s. Let u = 34 - m. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 0. Let n = -31 - -157. Let k be -8*3\/n*-3. What is the smallest value in 0.4, k, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -607953*o**2 - 557364*o.\nAnswer: -1215906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -8*o + 61. Calculate the remainder when b(4) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 458, 920, 1382, 1844?\n\"Answer: 462*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1607 greater than or equal to -1606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) 12\/19  (c) -11460\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {n: 3, q: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 22*y**2 + 19*y - 40. Suppose 3*z = -42 - 21. Let x be b(z). Suppose -2*c + 52 = x*c + 4*d, 0 = 4*c - 3*d - 52. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 683165 + -1168865. What is j rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 7*p - 2 - 1\/3*p**3 + 9\/2*p**2. What are the prime factors of f(8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of -1273*u**6\/6 + 1283*u**3\/3 - 1536. Find the third derivative of h(j) wrt j.\nAnswer: -76380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -264 or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, -1\/4, 0.9, 3\/5, -186.\nAnswer: -186, -1\/4, -0.03, 3\/5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 5*l**2 + 4*l + 4. Let o = 5 + -11. Does 8 divide c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(25\/4))**(-46) assuming q is positive.\nAnswer: q**(-575\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 107\/642*600\/15.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 744942 is divided by 1881?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1200102212210201 - -1022?\nAnswer: 1200102212212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 - a**2 - 107*a + 519. Give n(9).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 444733341355.7\nAnswer: -444733341357.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - ((-1)\/(-16) + (-24010)\/11424).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2551.006747 - -2551. What is q rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*q**2 + 0*q**2 - 3*q**2 + (2*q - q - 2*q)*(2*q - q + q) + 98*q**2 - 26*q**2 + 75*q**2 + (-3*q - 4*q + 6*q)*(q + 0*q + 2*q).\nAnswer: 131*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -98 - -193. What are the prime factors of n?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -p - 2. Let i = 0.341 - 0.041. Which is the third biggest value?  (a) p  (b) i  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -8939*h**3\/4 - 6805*h**2\/4 + 1127*h\/2 + 30 = 0. What is h?\nAnswer: -1, -60\/1277, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12 + 16\/(-4) - 4. Let d be (-13)\/(2\/4*-2). Solve -z*v - d = 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 + 4*q - 47. Give f(-12).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7377650 divided by -3745?\nAnswer: -1970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 AM and 8:44 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/7 - 30\/(-7). Suppose 8 = -h*w + 2*w. Let t = -0.213 - -0.113. Which is the closest to t?  (a) w  (b) -0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 0. Suppose 6 = a*s + s. Let u be (0 - s)*2\/(-4). Is 0 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/47, 2, 1, 1\/987, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/4)\/(16\/(-1152)). Let b be ((-7)\/(-21))\/((-1)\/z). Does 12 divide (6 + b)\/(1\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 57525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137026 is divided by 176.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 390 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l**2 + 0*l + 8*l + 0*l)*(0*l + 5*l - 2*l) to g + x*l + a*l**2 + r*l**3 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26 - 323*m**2 - 14 + 54 - 14 to x*m**2 + h*m + p and give x.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3067 + 5\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -472 - -550. Calculate the highest common factor of n and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/14 and 6147\/(-270) + -1 + (-3)\/(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 1 + -2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -10*n**3\/7 - 304*n**2\/7 - 410*n\/7 - 116\/7 = 0?\nAnswer: -29, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*b - 3*s = -21*b + 390, 5*s = 3*b - 250. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19508082 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i*j**2*u + 12577*i*u - 2938*j**2*o**2*u - 2*j**2*u + 12*j*o**2 + 3*o**2*u wrt j?\nAnswer: 2*i*u - 5876*o**2*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 78261418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 AM and 6:24 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -893, -883, -859, -815, -745, -643, -503?\n\"Answer: h**3 + h**2 - 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-2)*(0\/(-2))\/((-122)\/(-61))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 25*d**5 - 135*d**4 + 275*d**3 - 265*d**2 + 120*d - 20 = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(1872) + 1)**2 - (sqrt(1573) + 5*(1*sqrt(1573) + sqrt(1573))).\nAnswer: -97*sqrt(13) + 1868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1084*h - 649*h - 650*h + 200*h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2*s = -422, o + 79*s = 81*s + 217. Suppose 5*m = -4*g + 615, 3*m - 369 = -0*g - 5*g. What is the greatest common factor of m and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -3  (b) 13  (c) 1\/3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (-28 - 1)) + 1 + 12911 + -12920?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.187695l in millilitres?\nAnswer: 4187.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 99036 and 144.\nAnswer: 396144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**2 + 19*k - 22. Does 17 divide g(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14875133*x**4 - 79*x**2 - 18596 wrt x.\nAnswer: 357003192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 2*g - 3. Let s(a) = 3*a**3 + 5*a - 7. Give 5*k(h) - 2*s(h).\nAnswer: -h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9828 by 189.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1090 is divided by 51.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.4137 + 0.5856. What is c rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - n - n)*(3*n + n - 5*n) + 3 + 2*n**2 - 3 - 60*n**2 - 34*n**2 - 33*n**2 + (n - 2 + 2)*(-4*n + 3*n + 2*n) + n - n + 2*n**2.\nAnswer: -123*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (30\/1)\/(-3)*-1. Let h be -2 + 7 + (2 - 5). Suppose h*x - 4 = b. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) -126  (c) 6\/557\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 9:52 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6) + sqrt(12)\/sqrt(2))*4)\/(-2*sqrt(3)*-2).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 0.4, 10, -0.4 in increasing order.\nAnswer: -0.4, -1\/4, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 - 1\/(5\/(-823)). Let y = -63 + 227. Let z = c - y. Put -5, z, -2\/11 in ascending order.\nAnswer: -5, -2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 4004?\nAnswer: -4009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 5, n: 3}. Give prob of sequence qnn.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -592 - -1145\/2. Let j = 591 - -1195. Let t = 14217\/8 - j. Find the common denominator of t and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -47 + (-46 + 47 - (-9 - 0)) + -13 + 11?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 329984.962 rounded to the nearest one thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -94158, -94094, -94024, -93948, -93866, -93778?\n\"Answer: 3*q**2 + 55*q - 94216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 4*j + 108 = 0, -4*j - 184 = -5*i - 49. Let h(t) = t**2 - 26*t - 20. Calculate the least common multiple of 49 and h(i).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 3*y + 2557 = -2*l, -3*y = -2*l + 1271. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81*y - 2*y + 19*y to t*y + o and give t.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 112 + -33. Suppose 3*o = s + 95. Let c = o - 54. Put c, 5, -8, 0 in descending order.\nAnswer: 5, c, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -364*g - 121*g = -73*g - 2472 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, -8\/5, 1\/6, -0.06, -65?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 604593 and 4059?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/502 and -46\/7.\nAnswer: 3514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2751614 or 2751400?\nAnswer: 2751400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.06 + -0.36. Let k = -43 - 47. Let n = -91 - k. Put n, 1, y, 3\/2 in decreasing order.\nAnswer: 3\/2, 1, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -63*(22\/24 - 1)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/2)\/(-1)*-1)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78307 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {k: 2, f: 3, s: 1, y: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.2, -2, -17\/2, 12\/5 in descending order.\nAnswer: 12\/5, 1.2, -2, -17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -6*z**2 + 2*z - 4. Let k(u) = 3*u**2 - u + 2. Calculate -7*k(s) - 3*r(s).\nAnswer: -3*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19431*q**3 + 19425*q**3 - 97121*q**3 + 19429*q**3 + 19431*q**3 + 19406*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/1)\/(-4 + 2). Let m be (d - 0)\/(0 + 2). Suppose -6*o + 3*o = m. Solve 4*z - 2*y - 14 = 0, -14 = -o*z - 3*z + 5*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(-12))\/((-1)\/6). Let y(i) = i**2 + 3*i + 2. Let n be y(-2). Suppose 4*r - 4 = 2*x, n*x + 5*r - 9 = j*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.078 - 0.0779917. Round i to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 i when three letters picked without replacement from {g: 1, i: 9, d: 4}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-172)\/36 + (-4)\/18. Let o(f) = 3 + f - 3 + 5 + 0 - 6*f**2 - 18*f**3. Let p be o(w). Round p to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 5972208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 0.0031  (b) -0.5  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**0)\/(g**4*g))**(-4\/3) assuming g is positive.\nAnswer: g**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -3\/2  (c) -19  (d) 0.5  (e) -1  (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1824739297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 3\/34, -1, -1.3, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 37051937?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10104 (base 6) to base 2.\nAnswer: -10100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 1. Let q = -0.467 + 0.367. What is the closest to o in q, -5\/3, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tq when two letters picked without replacement from keqwt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-14)*((z*(z*((z**10*z)\/z*z)\/z)\/z)\/z)\/z assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 128.4 + -114. Let q = -16.4 + m. Which is the second biggest value?  (a) -0.5  (b) -0.3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 4. Suppose -g + 3*g = 4*q + 40, x*q = -4*g - 52. Let d be 1\/(-4) - 63\/q. Solve d*p = -4 - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23973.58 decades to months.\nAnswer: 2876829.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -8493, -16984, -25477, -33972?\n\"Answer: -f**2 - 8488*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18465093 divided by 1301?\nAnswer: 14193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 4026.\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1041871931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-9 + -2 + 5 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14.7 + 6.9. Let f = -8 - o. Put -2\/3, -5, f in ascending order.\nAnswer: -5, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t + 39*t = 744. Calculate the greatest common factor of t and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 50228899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {p: 2, o: 1, a: 5, l: 6, g: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-306)\/12 + 8)*(-48)\/5. Let c = -2 - -5. Suppose -r + c*r = x. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 42 + -37. Suppose 5*j = 2*u + 12, g*j - 7*j = 2*u + 26. Put -5, u, -4, -2 in decreasing order.\nAnswer: -2, -4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 1306 = -3*z + 1264, 77 = -5*z + u for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 223379 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.506 * -0.27\nAnswer: -0.13662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/3 + 4423340*n\/3.\nAnswer: -n*(n - 4423340)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of -1\/18*c**3 + 1\/60*c**5 - 3*c**2 - 1\/36*c**4 + 0 + 0*c. Factor v(b).\nAnswer: (b - 1)*(3*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 1028*w = -1024*w + 32, 4*w = -5*q - 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3628144 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -537 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 22214.77nm?\nAnswer: 0.00000002221477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0410897 + 24.\nAnswer: 23.9589103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22709 divided by 112.\nAnswer: 22709\/112","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeddukhedbddd. Give prob of picking 1 k and 1 h.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*h + 147910 - 147890 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ststtsosos.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*u + 21*u = -4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 16c1d (base 14) to base 2\nAnswer: 1101111110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.15*-0.4\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32985629.\nAnswer: 2377, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -x**4\/2 + 11*x**2\/2 + 3*x. Find the first derivative of d(u) wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -8*t + 4*t. Does 7 divide 231 + -2*t\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 2 v, and 1 h when four letters picked without replacement from {d: 2, v: 2, h: 5, z: 3}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51575.\nAnswer: 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 1109 - 1109 + 107*s as j*s + q and give j.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3336 (base 7) to base 5.\nAnswer: 14303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 - 15*i - 42. Let d be p(-6). Suppose 0 = -4*n + 4*v + d, -n + 3*v - 3 = -0. Suppose n*m = 25 + 65. Is m equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 + 12 = -4*s, 3*x + 5*s = 10. Let o(u) = -2*u - 10. Let l be o(-9). Suppose -3*r = -2*m + 5, -5*r + r - l = -2*m. Put r, 0, x in ascending order.\nAnswer: x, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10938 - -2593?\nAnswer: 13531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -349\/103?\nAnswer: -349\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a - 2. Let o(v) = v. Let s(b) = -b + 3. Let q(y) = o(y) - s(y). Calculate -5*c(k) + 4*q(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of a**6\/5 - a**5\/20 + 5*a**4\/3 + 63*a. Find the third derivative of u(v) wrt v.\nAnswer: 144*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-102)\/45 + 2 + (-210)\/525. What is the nearest to 0 in u, 1\/3, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 4*d**3 + 3*d**2 + 9*d + 19. Let p(c) = c**3 + c**2 + 3*c + 6. Let n(x) = -7*p(x) + 2*t(x). What is the remainder when 8 is divided by n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12013 - 300?\nAnswer: 11313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*b + 3. Suppose -12 = -b*d + 5*d. Solve 2*w - 4*p = 4, -5*w + 5*p - 2 = d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 120878912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.11 in 2\/5, -4, -0.037, 14?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 29?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 9*l + 105. Let w be g(-7). Suppose 0 = 48*t - w*t - 792. What is the least common multiple of t and 14?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k - 3. Let n be (5 - 5) + (3 - 1). Let f be v(n). Find the second derivative of 0*w - 2*w + f*w + 0*w - w**4 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (13\/(117\/9))\/((165\/(-4))\/11)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 637 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -3 - 12\/7*y**2 - 4\/21*y**3 - 36\/7*y. Factor z(m).\nAnswer: -4*(m + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 13 - (7 - (-5 + 22)) - (-1 - 56)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 12. Let f = 9 + -5. Let j = f - z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**2 + 15*j - 164. What is q(-22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3976041659412 less than -0.2?\nAnswer: -3976041659412.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1550)\/2)\/(-31))\/(2\/(-4)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -182814424, -182814419, -182814412, -182814403?\nAnswer: -182814392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/m**14)*(m*m*m\/(m*(m\/(m**(-10)*m))\/m)*m*m*m*m)\/m*(m**(-1\/6)\/m)**(7\/8))**(2\/45) assuming m is positive.\nAnswer: m**(431\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2)\/p)\/(p**(-2\/3)*p)*p**(2\/11)*p*p**(2\/21)*((p*p**(-1)*p*p)**49)**(1\/11) assuming p is positive.\nAnswer: p**(1583\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 21*m + 252. Let x = 11 + m. Which is the third biggest value?  (a) -0.09  (b) 2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 5*u + 91. Let j be s(15). Suppose -j*o + 566 = -164*o. What are the prime factors of o?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -242872380 - 0.0004.\nAnswer: -242872380.0004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/5448198 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (10\/(-8))\/((-29)\/580). Suppose -39 - j = -16*r. Let c = 8 - 2. Solve 2 + c = r*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -6*p + 16. Give d(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -270, -1101, -2528, -4587, -7314?\n\"Answer: -6*k**3 - 262*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 - s**2 + 9*s + 7. Let t(i) = 4*i**3 + 3*i**2 - 37*i - 29. Let y(a) = -9*h(a) - 2*t(a). Does 5 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/12*30\/(-50)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 159973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.295 - 17.705. What is the closest to i in 3\/7, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -613 + 617. Suppose 4*r - 548 = 4*i, 425 = 7*r - x*r + 4*i. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/9)\/(((-360)\/486)\/20*6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f**3 - 129*f**2 + 1872*f - 5940 = 0. What is f?\nAnswer: -55, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 64*d**2 - 5. Is o(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39, -270, -677, -1278, -2091, -3134, -4425?\nAnswer: -5982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of 4*o**7\/105 + 7*o**6\/40 - o**5\/60 - 4*o**3\/3 - 2*o**2 + 106*o. Find the third derivative of q(u) wrt u.\nAnswer: 192*u + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -305*-0.26\nAnswer: 79.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-3))\/((-238)\/680*10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 254*(-4)\/36 - (19512\/(-324) + 58).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2662427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 12:05 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4*y + 2. Let c = 22 + -52. Let u be (c\/(-9) - 3)*18. Suppose -17*k + u = -19*k. Calculate l(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69831444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 116 = 2*d, d + 3*q = q + 56. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1 + (sqrt(192) + 0 + sqrt(192) + -1 + sqrt(192) - sqrt(192)) + 1*(sqrt(192) + 4 + (sqrt(192) + -1*sqrt(192) - sqrt(192))))**2.\nAnswer: 128*sqrt(3) + 785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 6, x: 4, i: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 670, -1 in decreasing order.\nAnswer: 670, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/762 and -32\/6731.\nAnswer: 40386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -24*w**3 - 4*w**2 - 799*w - 11. Let b(y) = -13*y**3 - 2*y**2 - 399*y - 6. Give 11*b(d) - 6*t(d).\nAnswer: d**3 + 2*d**2 + 405*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -4)\/((-205)\/(-779)) - 8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 3 - 5. Suppose 4*i - 3 - 5 = 0. Let j = i + v. Let p(w) = w + 7. Calculate p(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5118 is divided by 840.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1322 - 111103?\nAnswer: -113031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*z = 45*z - 422399 + 123673. What are the prime factors of z?\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4da4793 - -1?\nAnswer: -4da4792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 932  (b) -8\/25  (c) 0  (d) 123  (e) 5  (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (133 + 112 - 201)*(-2*u - 3 + 3) + 7*u - 1 + 1 as d + v*u and give v.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.99825759 rounded to 1 dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of 7*p**6\/3 - 17*p**2\/2 - 11. Let q(j) = j**5 - j. Let b(m) = 6*q(m) - x(m). What is the second derivative of b(k) wrt k?\nAnswer: -160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54\/1*((-14)\/21)\/(19\/(1197\/(-28))).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -11 + 118?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -7 + (-3 - -4)*1. Let t be (-6)\/2*2\/k. Let -5\/2*l**2 + 9\/2*l - t + 7\/2*l**4 - 9\/2*l**3 = 0. What is l?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*u**4 + 7600*u**3 - 312408*u**2.\nAnswer: -120*u + 45600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -30133607307050\nAnswer: 30133607307050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/5)\/(9\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 68\/51*(-3)\/(-4). Suppose -n - 55 = -g. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*((-168)\/32 + 5)*-8 + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 6*y**2 - 1353*y + 16. Let v(t) = -5*t**2 + 1358*t - 12. What is 3*h(j) + 4*v(j)?\nAnswer: -2*j**2 + 1373*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*z + 26*z = 52. Let a = 55 + z. Find the first derivative of -9*n**2 + 5 - 16 + a wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence thu when three letters picked without replacement from {t: 2, h: 1, n: 1, d: 1, l: 1, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62 - ((-2 - -14 - (7 + 1 - 7)) + -24).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cukiizii. What is prob of sequence kzi?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-45)\/(-51)*-17*(-3)\/(-6)*(-2)\/(-280)\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 8*g**2 + 5*g**2 - 5*g**2. Let t(z) = 2*z**2 + z**2 - 2*z**2 + 6*z**2 + z. Let n(j) = 4*b(j) - 5*t(j). Find the second derivative of n(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 143052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + 18*u - 8. Let h(l) = -l**2 + 3*l + 14. Let y be h(0). Does 10 divide p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34043 - 1906509\/56. Calculate the common denominator of -71\/64 and a.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*i = 54*i - 12. Suppose 8 = -p - 3*p + i*m, -p - 5*m - 2 = 0. What is the hundreds digit of (1141\/14)\/(p\/4 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -4\/3*p**3 + p**2 + 1\/4*p**4 + 3 - 2*p. What is v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/(14\/(-4)*172\/301).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 2. Let j = 63 - 43. Suppose -2*x + j = b - k*b, 0 = -b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -9*d - 81. Let o(z) = 30*z + 244. Let k(x) = 2*o(x) + 7*s(x). Let r be k(-28). Let w = 1 + -2. Which is the nearest to -3?  (a) r  (b) w  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*l - h, -4*h - 26 = -2*l - 0*h. Let n be l\/5 - (-66)\/15. Calculate the highest common factor of 55 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 5*l**2. Let b(a) = 3426*a + 3. What is b(y(k))?\nAnswer: 17130*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9055 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1833 and 52.\nAnswer: 7332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = -5*w + 723. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 PM and 2:26 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9330836 is divided by 447.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 878.46 milligrams in grams?\nAnswer: 0.87846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 826 is divided by 207?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + -6. Let v = d - -8.3. Let f = -1.2 - v. Which is the third biggest value?  (a) 4  (b) f  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(-1\/6)\/y*y))\/y**(-1\/3)*(y**(-4\/3)\/y*y)\/(y*y**(1\/3)*y) assuming y is positive.\nAnswer: y**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -135902.339 to the nearest 10.\nAnswer: -135900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 AM and 3:38 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 23 and 96?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/23)*o)\/o**(16\/5) assuming o is positive.\nAnswer: o**(-243\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -36604122?\nAnswer: -36604130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4365556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 15753 (base 8) in base 12?\nAnswer: 4177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -2 + 2 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6565*q**4*r**3 - 5*q**2*r**3 + q**2*r**2 + q**2*r wrt q.\nAnswer: -157560*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9052\/19005 or 0?\nAnswer: -9052\/19005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-5)\/10)\/(2\/(-788)). Suppose -4*f = -u - 3*f + 43, f = -4*u + k. Let b = u - -205. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 208333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 16*p + 115. Give l(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -s**5\/45 - s**4\/18 + 4*s**3\/9 - 5*s**2. Determine x, given that l(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 732175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (195*s - 195*s - 3*s**4)*(2 + 2 - 2) + 5 - 5 + s**4 + 0 + 0 - s**4 + (s - s - 2*s**3)*(s + 3 - 3).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w + 0*w - 2 + 1. Let l(f) = -6*f + 1. Determine -4*g(j) - l(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-3)\/(-12)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-52)\/(-754) + 56\/29. Solve 0 = -p*x - 5*s - 8, -4*x + s + 0*s = -6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c*c**(1\/3)))**(3\/19)\/(c\/(c**0*c*c))**(-16) assuming c is positive.\nAnswer: c**(-308\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -3*c. Let p(i) = -4*i. Let d(o) = 6*h(o) - 5*p(o). Let v(s) = 12*s. Give d(v(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1903 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 151 - 149. Which is the smallest value?  (a) h  (b) 17  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 303 + -254. Suppose -2*j - 3*j = -3*u - 45, -2*u = 3*j + z. Is u <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -33533\/134912 + 51\/256. Let k = b - -49271\/5270. Find the common denominator of k and 43\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3\/4)*m*m\/m**1)**(-14\/3)*(m*m**(-7)*m**(2\/29)\/m)**15 assuming m is positive.\nAnswer: m**(-18293\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 909, 10389, 36119, 86223, 168825, 292049, 464019?\n\"Answer: 1354*x**3 + x**2 - x - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -33.6859 rounded to 1 dp?\nAnswer: -33.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2572.06 and 2868.06808?\nAnswer: 296.00808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -52301?\nAnswer: -52265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 - 18 + 87783*z**3 - 44077*z**3 - 17 - 43705*z**3 + 46.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2941 and 0.3.\nAnswer: -882.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = m - 22, 2*p + 8 = -2*p. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 79 + -34. Suppose 4*c - 3*f - 24 = 0, -5*c - 2*f = 1 - 8. Suppose 5*v - 81 + c = 3*w, -4*v + 76 = w. Calculate the highest common divisor of a and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5374 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131500895.\nAnswer: 5, 26300179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5526956177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 9533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57337478.\nAnswer: 2, 11, 19, 229, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is 208 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5047150?\nAnswer: 2, 5, 100943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d**3 + 5*d**2 + d - 8. Calculate m(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 193\/455 + -9\/65. What is the nearest to g in -1\/7, 9, 1, -5\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96986 less than 96999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-466005)\/(-285) - 6\/(-171)*-3. What is the highest common factor of w and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = 0, 17*f - 12 = 6*j + 20*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13019, 12655, 12289, 11921, 11551?\nAnswer: 11179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 926 = 4*l, 5*d + 1155 = 5*l - 0*d. Let w(x) = -x + 1. Let p be w(3). Does 23 divide p\/7 + l\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1309*r + 300 - 3046 - 1181 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -4*k**2 + 369*k + 733. Give f(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -3*t**2 - 309*t - 362. Let b(a) = 6*a**2 + 603*a + 723. Let k(y) = 4*b(y) + 9*s(y). Factor k(f).\nAnswer: -3*(f + 1)*(f + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, 2, 6, -8, -533 in decreasing order.\nAnswer: 6, 4, 2, -3, -8, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 3*p + 3 = 0. Let s be 3 + p + (1 - 2). What is r in 3*r + 5*r**2 - 5*r**2 + 9*r**4 - 6*r**5 + 3*r**s - 9*r**2 = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*k + 2*k. Let x be (-4)\/(-28)*(k + (-2)\/1). Which is the nearest to x?  (a) -15  (b) -1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*r = -34*r + 2356 - 403 + 887 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbxbbbkkxbbxbxbr. What is prob of sequence xxx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1 - 0.9. Let i = -9.3 - -14.3. Which is the closest to -2?  (a) 1  (b) x  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 2 + 1 - 4 - 2*l**2 as v + m*l**2 + t*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11121020 (base 3) to base 13.\nAnswer: 16b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*u, -3*j + 3*u = -0*u. Let f = 1756 - -13444. Suppose j*l - f = -l. What is l rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i. Let u(d) = 4*d + 5. Let o(w) = 4*w + 6. Let h(m) = -5*o(m) + 6*u(m). Give x(h(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 - 28*d + 28. Let a be o(27). Let k be a*(-15)\/9*-3. Solve -k*r = 6 + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2183102 less than 15.8093?\nAnswer: -2183086.1907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3007 and 1581?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 26\/2*67\/871\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 + 2*j - 4. Let l(c) = 2*c**2 - 20*c + 2. Let m be l(10). Suppose -3*z = 3*u - 12, m + 14 = 5*u + z. Determine g(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that b**4 + 1830*b**3 + 16416*b**2 + 49194*b + 49167 = 0.\nAnswer: -1821, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 3) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 6*l**3 + 13*l**2 + 8*l. Let x(r) = 18*r**3 + 39*r**2 + 22*r. What is 11*a(o) - 4*x(o)?\nAnswer: -6*o**3 - 13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 44\/279 - -2\/31. Is z <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 468958613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mqmq when four letters picked without replacement from mqmq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*o - 2)*(-1 - 4 + 3 + (-2 + 1 + 0)*(6 - 2 + 1) - 3 - 9 - 9) + 0*o - o + 3*o.\nAnswer: -54*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4580, -4602, -4648, -4724, -4836, -4990, -5192, -5448?\nAnswer: -5764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 132 = j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -72*i + 142*i - 6*i**2 - 72*i + 3 as n*i**2 + b*i + p and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-3 + 32\/7)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00196 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -348\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -15.63 to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9005530759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/149 in -1\/6, 3, 969?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 2*g + 2, 2*g - g - 2*i + 1 = 0. Let n = 7.889 + -9.889. What is the closest to g in -5\/4, 3, n?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -47  (c) -2\/7  (d) 2\/11  (e) -0.3  (f) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fbbfbbbbbbbbbbbbbbb. What is prob of picking 2 f and 2 b?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yjjjyjyjjjjyjj. Give prob of picking 2 j and 1 y.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*2\/8)\/(232\/(-348))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -3, 2\/3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -62 by -1422799.\nAnswer: 62\/1422799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 36*v**4\/11 + 282*v**3\/11 + 708*v**2\/11 + 522*v\/11 - 108\/11 = 0.\nAnswer: -3, -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 70*z + 775. Let d be m(-11). Which is the second smallest value?  (a) 27  (b) d  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i**(3\/5)*i)*i\/(i**(-22)\/i)*i*(i\/i**(-19))\/(i*i\/((i\/i**(-2\/75)*i)\/i)) assuming i is positive.\nAnswer: i**(3257\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(720) + -1 - (sqrt(720)*1 - sqrt(720))*2)**2.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -701 + 716. Let b = 147 - 21. What is the remainder when b is divided by (-16 - 0)\/(1 + h\/(-10))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -62\/5, 132\/5, 4 in descending order.\nAnswer: 132\/5, 4, 1\/3, -62\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-159)\/33 + 2\/(-11). Let n be (8\/100)\/(-1 - 6\/r). Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29504 + -29453. Let h be 2\/6 - (-88)\/(-3). Let a = h + o. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -3*z - 13442, -o + 2686 = -z - 2*z. Let u = o - 1716. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-112)\/(-32)*(-12)\/42?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 9*f**4 + 9*f**2 - 7*f - 7. Let s(z) = -8*z**4 - 9*z**2 + 6*z + 6. Let h(u) = 6*a(u) + 7*s(u). Find the third derivative of h(b) wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d, 5*d + 8 = 5*a - 37. Let p = -10 + a. Suppose 3*u = -x + 15, -x + 0*x = -4*u + 13. Put u, 6, p in descending order.\nAnswer: 6, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1337161 is divided by 212?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 + 1)*(0 - 1 + 5)*(-5*k - 11*k + 4*k).\nAnswer: -192*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2046\/(-88))\/31)\/(1*207\/48)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -2*t + 4. Let c(v) = v - 1. Suppose -4*u = 5*p - 51 + 17, -u + 8 = p. Determine u*c(h) + 2*b(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/2 - (-9 + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -528, -1686, -3610, -6294, -9732?\nAnswer: -13918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*n**3 + 181*n**2 + 3*n**3 - 1002*n - 2*n**3 + 3*n**3 - 3 + 1003*n to the form j*n**3 + q*n + s + k*n**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/84 + (-2)\/(-7). Let t = -34 - -39. Which is the second biggest value?  (a) t  (b) v  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.05 - 0.15. Let t = d + 0. Let j = 207 + -207.3. What is the nearest to t in j, -3, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 8*z**2 + 8*z + 14. What is i(-6)?\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -138 in 2\/3, -2\/67, -4, -0.38, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c + 10. Suppose 21*u - 8*u = -1183. Let y = 97 + u. Suppose 0 = -3*j + 6*j + 2*n + 13, 2*j - y = -5*n. Calculate a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) -1\/3  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*i = -3*i - 96. Let h be (-540)\/(-280)*(-8)\/i. Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**2 + 60590*i + 606000 = 0. What is i?\nAnswer: -10, 60600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 7:15 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -0.5, -3\/5 in increasing order.\nAnswer: -3\/5, -0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -176.6774993345 less than 4?\nAnswer: 180.6774993345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.10512ml in litres?\nAnswer: 0.09010512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, -11.75, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1591, 1599, 1605, 1603, 1587, 1551?\n\"Answer: -s**3 + 5*s**2 + 1587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -5. Calculate the common denominator of -41\/11 and (-102)\/w - (2 + -1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4449 divided by 2.\nAnswer: 4449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4337863 is divided by 77461.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -702221.\nAnswer: -70222.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3516 = 177*j + 32*j - 664 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is db178 + -c?\nAnswer: db16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*r**4 - 6*r**3 - 582939*r**2 + r**3 + 582938*r**2 in the form f*r**4 + n*r**2 + t*r**3 + l + h*r and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {m: 5, f: 1, h: 1, t: 3, d: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**3 - 163*j**2 + 2997*j - 994. What is h(-97)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 90577254031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14 - (-2128)\/(-462)*3. Let -a*g**3 - 6\/11*g**2 - 2\/11 - 6\/11*g = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32443301 + 1?\nAnswer: -32443300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 129 = -4*u, 5*u - 6*u - 3 = 0. Calculate the highest common divisor of 273 and y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 4*z - 8. Let k be m(3). Solve -k*o + 11 = 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -25*f + 27*f + 2 + 1. Let b be -1 - (-1)\/(-1) - -11. Let u = 5 - b. Determine q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 26\/5 - 4\/20. Solve 1 = x*q - 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 278261148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/8, -102, 1\/3, 8 in ascending order.\nAnswer: -102, -3\/8, 1\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136) - -2*2*sqrt(136) - (sqrt(136) + (sqrt(136) - sqrt(136)*-1*-2)))\/(sqrt(1152) + (sqrt(1152) - (4*sqrt(1152)*-6 - sqrt(1152)) - sqrt(1152))).\nAnswer: 5*sqrt(17)\/312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*h**2 - 9*h**2 - 2*h**3 - 462*h - 12*h**2 - 4410 + 79*h**2.\nAnswer: -2*(h - 21)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than -187734636?\nAnswer: -187734635.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 108\/(-1170)*(-10)\/2?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28291249 a multiple of 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -160*h - 137 - 151*h + 301*h. Let u be y(-14). Solve -5*s - u*f - 40 = 0, 2*s = 4*f + 6 + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 5  (c) -448  (d) 2\/5  (e) 0.5  (f) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -431*t + 11850. Calculate l(28).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 3*h - 14. Let i = h + -3. Solve 2*w = 10 - i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-15)\/35 - (-324)\/21. Suppose -r = -f + 11. Suppose r*i - 4*m + 26 = 1114, 814 = 3*i - 2*m. Is 30 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 51355676 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2 - 4*z**3 + 11 - 13. Let q(h) = 20*h**3. What is 11*p(m) + 2*q(m)?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 630 is divided by 298?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 524880.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and -70036.71?\nAnswer: 70035.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -37.7 - -31. Let a = -44.3 + d. Let s = a - -49.95. Round s to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30876 (base 11) in base 8?\nAnswer: -127656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 176 and 6336?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 11*i + 90. Let n be y(13). What is the derivative of -n*a**2 - 86 + 807*a**2 - 6*a - 402*a**2 wrt a?\nAnswer: 6*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of -g**6\/144 - 13*g**5\/120 + g**4\/12 - 2*g. Let v(z) be the third derivative of c(z). Is v(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123668451 is divided by 1014?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1218 + 1229. Suppose 5*f + 4*g = 0, -4*f - v*g = -7*g. Factor 0 - 2\/5*q**4 + f*q - 12\/5*q**3 - 2*q**2.\nAnswer: -2*q**2*(q + 1)*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 - -11. Is 2 a factor of 2\/o + (-42)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 10*i + 67. Let q(g) = -g**2 + 9*g + 68. Let p(l) = -3*q(l) + 2*r(l). What is the units digit of p(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/35)\/((l\/(l\/(l\/(l**24*l)))*l)\/l) assuming l is positive.\nAnswer: l**(838\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2375?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -710, -716, -720, -722, -722, -720, -716?\n\"Answer: l**2 - 9*l - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1423138\/825 + 18996\/11. Let u = -14\/25 + x. Factor -u*b + 0 - 2\/3*b**2.\nAnswer: -2*b*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 1. Let d(c) = -9 + 24 + 2*c - 9 - 3*c**2 - 5. Calculate d(q) - 3*o(q).\nAnswer: -3*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 74949459 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**3 + j**3 + 4*j**3)*(0 + 0 + 2)*(10*j**2 + 8*j**2 - 3*j**2 - 1).\nAnswer: 60*j**5 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 89*d + d + 16*d to the form t*d + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 20405978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16404 is divided by 105?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -247, -2\/5, -22\/3, 2\/21 in decreasing order.\nAnswer: 2\/21, -2\/5, -22\/3, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/8 - 49\/4. What is the common denominator of (1 - -5)*93\/(-12) and 161\/s + 2\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3744 divided by -1.\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 2:05 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + -1)*(1 - 2). Let b be 2 + 1 + (-10)\/p. What is the third derivative of 8*t + 7*t**5 - b*t**2 - 8*t + 0*t**5 wrt t?\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5782153 - 5782152.1600063. Let w = 4.04 - 3.2. Let i = l - w. Round i to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -116779\/13160 + -2\/1645. Find the common denominator of g and 53\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125843214 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/90*1*(2 + 0). Let g = 6 - 4. Which is the nearest to 1?  (a) g  (b) -3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vg when two letters picked without replacement from gvvvvgvvvgv?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0) + -3 + (-1 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -17*k + 7. Let n be b(5). Let q = -31 + 16. What is the units digit of n\/q + 2\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 808 + 13*d - 808.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -6*i**4 - 39*i**3 + 36*i**2 + 111*i + 42 = 0.\nAnswer: -7, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2046377, -8185584, -18417595, -32742410, -51160029, -73670452?\nAnswer: -100273679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.93 - -0.07. Let r = 3791 - 3787. What is the closest to -1\/4 in p, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -61, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - (-11 + -8)) + (94 - 15)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 563325 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 35025 and 18.\nAnswer: 210150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 - ((15 - -10) + -27 - -13)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-3*(sqrt(77) - 1*sqrt(77))*-3)\/(-6*(-4*(sqrt(28) + sqrt(112)\/sqrt(4)))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z + 5*z - 5*z)*(z**3 + 8*z**3 - 6*z**3).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -267835900 to the nearest 100000.\nAnswer: -267800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -1001011?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 11:32 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*v - 0. Solve -t + 10 = -v*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 28d57a - 0?\nAnswer: 28d57a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1006*b**5 - 18946*b**4 - 11212*b**2 - b - 333.\nAnswer: 60360*b**2 - 454704*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 195899450 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.21 or -2181650?\nAnswer: -2181650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 214979938*w**5 - 107026279*w.\nAnswer: 4299598760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 7*a**2 - 6*a - 9. Calculate h(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r**(-15)*r)))\/((r\/(r\/((r\/r**(3\/5))\/r*r)))\/r)*r**(2\/3)*r*r**(-14) assuming r is positive.\nAnswer: r**(-386\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.6*-2418.753.\nAnswer: -3870.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wqw when three letters picked without replacement from {r: 1, w: 2, e: 1, i: 1, s: 5, q: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*c**5 - 21*c**4 + 21*c**4 + 0*c**5 - c**5 + 3*c**5 + 0*c**4 + 0*c**4 - c**5 + (0*c**2 + 0*c**2 - 2*c**5)*(-1 - 1 + 0) - 3*c**5 - 6*c**2 + 6*c**2.\nAnswer: 13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9.88 - 9. Let x = n - 1. Let a = -0.12018 - x. Round a to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*c**5 + 2*c**2 + 0*c**5 - 3*c**5 + (-3*c**4 + 3*c**4 - 3*c**4)*(-3*c + 3*c + 3*c).\nAnswer: -8*c**5 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-136)\/(-36) + (5 - 43\/9). Is (0 - d - -3)\/((-4)\/3412) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 22516811, 22516809, 22516807, 22516805, 22516803, 22516801?\n\"Answer: -2*c + 22516813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 264, 438, 910, 1824, 3324, 5554?\nAnswer: 8658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -242, -762, -1282, -1802?\n\"Answer: -520*h + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 5*h + 39. Let n = -11 - h. Suppose -39 = n*m - 7*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*h + 9 + 70 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -0.41  (b) 1.42  (c) 4\/5  (d) 103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o**3 - 5*o**2 - 9*o - 103. Let w(i) = -i**3 + 3*i**2 + 5*i + 52. Determine -5*w(q) - 3*z(q).\nAnswer: -q**3 + 2*q + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -2020  (c) -0.3  (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 769317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 - 30. Let z = 160 + i. Let h = z + -148.00138. What is h rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that u**4 - 1895*u**3 + 1198269*u**2 - 253628557*u + 502479182 = 0.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6425567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -4  (c) 20  (d) -34  (e) -2\/7  (f) -0.2  (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -125\/1176 and -109\/132.\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14468309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*j**2 + 12*j**2 + 11*j**2.\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 1:12 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 8\/5  (c) -2\/13  (d) 14.8  (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**2 - 3*d**2 + 2*d**2)*(2 - 11 + 6) + 4*d**2 - 6*d**2 + 7*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36715530?\nAnswer: 2, 3, 5, 353, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 7) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(432\/(-177)) + 404\/(-7272)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 80.99 - -0.01. Let k = 81.4 - l. Which is the closest to 2\/3?  (a) -1\/9  (b) k  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 202?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 4*t**2 + 8*t - 12. Let a(c) = -5*c**3 + 18*c**2 - 39*c + 61. Let d(h) = -2*a(h) - 11*p(h). What is d(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -y**3 - 5850393*y**2 - 98439099*y wrt y?\nAnswer: -6*y - 11700786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 149 - 1337\/9. Find j such that 2\/9*j**2 - 8\/9*j**3 + 0 - 2\/3*j**4 + n*j = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h**2. Let l(y) = y**2 - 6*y + 1. Let b(p) = -l(p) - r(p). Determine b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**3\/(f\/(f**(2\/55)*f)) assuming f is positive.\nAnswer: f**(167\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15981.\nAnswer: 3, 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 5*n**2 + 11775*n - 142020 = 0.\nAnswer: -2367, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -3. Let -7*q**4 + q**4 - 2*q + 4*q**2 + 2*q**3 + k*q**2 = 0. What is q?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000726 to 5 decimal places.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15100 (base 8) to base 9.\nAnswer: -10186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 500291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 4 = 3*x - 2, 4*f = -2*x + 20. Suppose 4*v = 7*v. Suppose v*h = x*h - 16. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 105*s - 5063. Determine x(48).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 20\/6*36\/5. Let f be (o\/9)\/(4\/6). Suppose -3*d + f = 16. Is d greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*j + 7*j - 2*j in the form h*j + p and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000025549670644 rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24 + 7. Let c = g - -17.00017. What is c rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 - 12*b - 1. Let c be n(-11). Let s be 209\/95 + (-2)\/c. Calculate the common denominator of ((-23)\/(-2))\/(5\/s) and 99\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-6) + 78\/(-4). Let g = 33 + v. Let z = g + -7. Solve -3*a - z = -6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 124.3 litres to millilitres.\nAnswer: 124300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 60094000 rounded to the nearest one hundred thousand?\nAnswer: 60100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of j**2\/2 + 603. Let x be 8 - (-3)\/3 - -2. Let c(t) = t**2 + x*t**2 + 4*t**2. Give w(c(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 9927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((168\/(-20))\/7)\/((-3)\/10). Find the second derivative of x**f + 5*x**4 + 12*x**4 - 17*x wrt x.\nAnswer: 216*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7746 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 368832350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.179  (b) -5  (c) -2  (d) -177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/1640 and -67\/6355.\nAnswer: 50840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1  (b) -3  (c) 0.19  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = u + 1. Let x(k) = 7*k**5 - k**4 - 20*k**3 - 15*k**2. Let f(d) = -20*d**5 + 4*d**4 + 60*d**3 + 44*d**2. Let b(m) = u*f(m) - 8*x(m). Factor b(n).\nAnswer: 4*n**2*(n - 3)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 737*b - 13267. Determine u(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 584753 is divided by 3300?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 2*v - 5*v)*(18537*v - 18537*v + 35*v**2).\nAnswer: -35*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 64151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a7 + -92?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 10*c**2 + 25*c + 22. Calculate the remainder when 128 is divided by l(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n. Let s(h) = -2577*h**2. Determine s(m(t)).\nAnswer: -10308*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -227.3.\nAnswer: 68.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 114*k - 7. Is i(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005855 rounded to six dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40977 and 3297.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.72635 millimeters to micrometers.\nAnswer: 4726.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-900)\/(-840))\/(-2*(440\/(-336))\/11).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppt when three letters picked without replacement from tptp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/12 + (-2)\/3. Suppose 3*i - i - 22 = h. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/11383944 and 101\/10912.\nAnswer: 45535776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -138098 and 0.03.\nAnswer: -4142.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, v: 3, q: 1, t: 1, e: 1, a: 7}. What is prob of sequence tb?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -127877.1.\nAnswer: -25575.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4619.\nAnswer: 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94 - 158. Let c = 63 + q. Sort -2, c, 0 in increasing order.\nAnswer: -2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 2*m - 48 = 0, -4*u + 56 = 5*m - m. Suppose -1 = u*q - 31. Solve 3*x = 5*z - 17, -2*x - q*z + 5 = 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1\/36 + -49\/468. What is the biggest value in g, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence woe when three letters picked without replacement from {o: 10, e: 3, w: 1, p: 2}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -305 or 2.477?\nAnswer: 2.477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9.4 + 23699234.\nAnswer: 23699224.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -142654 less than 18.715?\nAnswer: 142672.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 68\/29  (b) 3774  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, 0, 3, 12.138 in decreasing order.\nAnswer: 12.138, 3, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1347, 2694, 4041, 5388?\nAnswer: 6735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/3 - 1012*i + 3039.\nAnswer: -(i - 3)*(i + 3039)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(15\/2700*-6*9\/4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/16 and ((-5335)\/3960)\/((-1)\/2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 67 + -333\/5. Suppose 5*r = 5*a + 75, 4*r - 66 + 9 = 3*a. Let z = 16 - r. What is the closest to q in z, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 216 divided by 4\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1553 - -1547. Which is smaller: v or 34?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - ((-7 - 0) + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 185, 205, 243, 305, 397?\n\"Answer: k**3 + 3*k**2 + 4*k + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 702284310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 5*k**2 + k - 3. Let c be y(5). Let g be c\/6*3 - -31. Solve 4*v = -6*i + i - g, -4*v + i = 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -5*t - 2*t + 9 - 10*t**2 + t**2 - t**3. Let x be -2*(-2)\/(-4) - 7. What is the units digit of s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**5 - 122*v**4 + 1265*v**3 - 4960*v**2 + 8484*v - 5328 = 0.\nAnswer: 2, 3, 4, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -64*((40\/(-16) - -9 - 8)\/(-3) + 0)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2205)\/(-1029))\/((-10)\/14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 + 3)*(-2 + 3 + 0)*(-u - 3*u + 2*u) to the form r + h*u and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**4 + 2*l**4 - 2*l**4)*(4*l + 4*l - 6*l + (-l + 2*l + 0*l)*(-2 - 2 + 6)).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0.22, -0.1, 3, -7.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of q**5\/60 - q**3\/6 + q**2 - 2. Let h(w) be the second derivative of z(w). Find x such that h(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17\/3 + -5. Which is the smallest value?  (a) r  (b) 12  (c) -5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36395 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.503273998 to 3 dps.\nAnswer: -1.503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15)\/10*(-2)\/3. Solve z + 11 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 2*s + 2, -s - s = -2. Suppose -3*p - 4*v = -1 + 4, r = 5*p + 5*v. Solve -n = g + 3, -g + 12 = -p*n - 5*g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 72293 and 7839?\nAnswer: 650637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2363949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 357 is divided by 172?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*c**3 + 2*c**3 + 5*c**3 + (-4*c**2 + 3*c**2 + 3*c**2)*(2*c + 3*c - 3*c) - 4*c**3 - c**3 + 4*c**3 + 2*c**3 + 0*c**3 - c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -24*(-3)\/144*735898 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 7*w + 16 = 0. Let i(a) = a**3 + 10*a**2 - 10*a + 2. Let b be i(-11). Let u = 1 - b. Calculate the greatest common divisor of u and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -550 - -575. Which is the closest to 0.2?  (a) 2\/3  (b) v  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from paddd. Give prob of sequence dap.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {z: 4, o: 10}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 - -4) + (-3)\/6*-4. Is g at least 1\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1242\/31 - -3788\/93. What is the nearest to 139 in 0.04, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 0.0592886?\nAnswer: -0.2371544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 388 a factor of 10805093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*k - 22*k**2 + 19*k**2 - 25*k**3 + 2*k wrt k.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28) - sqrt(448)*-2)\/sqrt(4).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f**3 + 5*f**2 - 2*f - 4. Let d be s(-5). Suppose -u = 2*u - d. Let q = 218 - u. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3*m + 1)*(2*m + m - 2*m) + (-m + 0*m - 22*m)*(-7*m + 109 - 109).\nAnswer: 164*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10101110 (base 2) in base 13?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 101815.\nAnswer: -101816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 + 8. Let b be ((-6)\/(-3))\/(v\/24). Let y(r) = -r**2 - 14*r - 3. Is 7 a factor of y(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/3505 and 31\/6309?\nAnswer: 31545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -419*o + 275 = -444*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ikk when three letters picked without replacement from jkikjijajkwwjj?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11.2 + -10. Let j = v + -1.4. Which is the fourth biggest value?  (a) -7\/4  (b) -0.1  (c) -5  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 - (-22 - (16 - 5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of 7*g**5\/5 + 5*g**2\/2 + 6. Find the second derivative of s(k) wrt k.\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -558 = 2*n - 11*n. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.446 rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 939049286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 4*w**2 + 124*w + 1. Let i(u) = -2*u**2 - 60*u. Calculate 9*i(c) + 4*p(c).\nAnswer: -2*c**2 - 44*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -59 - -58.7. Which is the second smallest value?  (a) 7  (b) 1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -203*l**5 + 193*l**3 + 7*l + 21455 wrt l?\nAnswer: -4060*l**3 + 1158*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5132.132 + -5114. Let j = 18 - p. Let h = -17.132 - j. Which is the third smallest value?  (a) 5  (b) h  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 99\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2009433 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 612\/2093 + -2\/299. Let l = 48.6 + -48. Let i = -1.6 + l. Which is the biggest value?  (a) -2\/7  (b) o  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**3 + 43088*g**2\/7 - 714754*g\/7 - 4652720\/7 = 0. What is g?\nAnswer: -5, 152\/7, 3061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 228858, 229534, 230660, 232236, 234262, 236738?\nAnswer: 239664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -477 + 476.092. Let g = -0.8383 - s. What is g rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13655213?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/169 + (85\/(-39) - -2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 466845179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 2*r + 0.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -39 + 42. Let s = -375 + 348. Which is the third smallest value?  (a) s  (b) 2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 - 7*l**2 - 8*l. Let y be f(8). Suppose y*h + 2*h + 22 = 4*g, 4*g - 21 = h. Solve 4*s = -5*b + 27, 2*b - 15 = -g*s + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6302424*j**3*y**2 + 154008591*j**3 + 38*j**2*y**2 wrt y.\nAnswer: 12604848*j**3*y + 76*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12107 is divided by 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7\/1*(-36)\/(-3). Suppose -2*g = g - s. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*(g\/g**0)\/g*g*g)*g)\/((g*(g**(-1)*g)\/g*g)\/g*g*g)*g**(-7)*g\/(g*g**(2\/9)*g) assuming g is positive.\nAnswer: g**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 - 7*m - 6. Let b be c(-5). Let i(f) = -10*f - 6*f + 37*f - 17*f - 11. Let w be i(b). Solve 0*y - y = -w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8053769 or -8053880?\nAnswer: -8053769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 649605521?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of j**5\/140 + j**4\/28 + j. Factor t(v).\nAnswer: v**2*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.583 times -3?\nAnswer: 1.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*h*z**3 - 1185*h*z**2 + 3*h - 2 wrt z?\nAnswer: -6*h*z**2 - 2370*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - m - 2 = 0, -4*r - m = -0*m + 2. Suppose 5*b - 230 = p, -200 = -4*b - r*p + 4*p. Calculate the remainder when b is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -7238.\nAnswer: 14476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -1\/2*g**2 + 0*g + 8 + 1\/3*g**3. Determine k so that d(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 430\/3 - 142. Let v = -60 + 117\/2. Sort -5, a, v.\nAnswer: -5, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 20 = -4*z, -15 = -z - 2*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h + 1. Let a(j) = -4*j. Let p(u) = a(u) - 3*y(u). What is the smallest common multiple of p(-9) and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -2722, -17, 1, 0.5, -1\/3, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 215884 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -4*n - 8. Let i be g(-4). Find the first derivative of 3*a**2 + i*a**2 - 5*a**2 + 2 wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -4*o + 6*o - 47, 5*b = -5. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 367 + -367.536. Let c = 25.6 + -25. Let i = c + s. What is i rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -23*h**2*p**2 - 14*h**2 - 2*h*p**2 - 103*h - 348*p**2 + 228 wrt p?\nAnswer: -46*h**2*p - 4*h*p - 696*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -492 - -2061\/4. Let y(k) = 105*k**3 + 6*k**2 + 6*k + 4. Let m be y(-4). Let a = 39745\/6 + m. Find the common denominator of s and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 22*j**2 + 4*j + 4. Let v(d) = -23*d**2 - 3*d - 3. Calculate 3*l(n) + 4*v(n).\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3206?  (a) 3  (b) -1  (c) 1\/5  (d) 0.4  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.2 - -0.3. Let u = -10\/11 + 103\/77. Let r = -12 - -14. Put r, f, u in descending order.\nAnswer: r, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/4 in 31, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2608, 5218, 7828?\nAnswer: 10438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - n = 7, 0 = -a - 781*n + 785*n - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 249287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24 + -17. Suppose 5*f + 3*v - 29 = -0, -4*v = -5*f + 43. Suppose -a = -4*n - d, a = n - 0*n + f. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -26?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 5 = -0*k. Let z(r) = r**3 + r**2 - r. Let x(n) = 8*n**3 - 6*n**2 + 2*n. Let p(j) = k*x(j) - 2*z(j). Suppose p(h) = 0. Calculate h.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 6 - 1 + 2*g**3 - g**3 - 4 + 6*g**2. Let c be 3 + (3 - 1)*1. Suppose 5*t = -5*u - 35, 0*u = -2*t + c*u - 7. Calculate i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 86 - 87 - n**2 + 2*n**2 - n. Let x be 21\/14*(-6)\/9. Let l(a) = -2*a**3 - 4*a**2 + 2*a + 3. Determine x*l(r) - 4*j(r).\nAnswer: 2*r**3 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(3\/5 + (-42)\/70). Suppose 0 = -4*y + 5*b + 265, 2*y + y - b - 207 = r. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 16\/(-48)*(-25 + -2). Solve -6*m = -3*m + 6, -u = 3*v - 3*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 208 and 3?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1 - 16. Let y = -15.831 - m. Let j = y - 0.0689939. What is j rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47 + 28.7. Let g = s + 23.3. Sort g, 0, -4\/5.\nAnswer: -4\/5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6085708 - 4404292. Round g to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -156 + 156.1. Which is the nearest to -1?  (a) 0.2  (b) 2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j**3 + 3*j**2 - 9*j + 5. Let i be w(7). Let l = i - 1570. Let k = l + 665. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1060089346 and 382?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-3)\/1*61\/18 and (2528\/(-64))\/(-1 - 0) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 - 3*s + 217. Let i(t) = -t**2 + 15*t - 14. Let o be i(14). Does 42 divide p(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -28, 4 in increasing order.\nAnswer: -28, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16348*g**2*s**3 - g**2*s - 3*g*s**2 + 2*g*s - 172*s**2 wrt s?\nAnswer: 98088*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t - 2*t + 15*t**3 + t**3.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 118\/1593 + (-142)\/(-270). Factor 9\/10 - p*z + 1\/10*z**2.\nAnswer: (z - 3)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*1*(-22)\/(-6)*366\/175802.\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 149 - 236. Let v(o) = -21*o + 1. Let q be v(-6). Let y = q + l. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**5 + 140*c**4 + 390*c**3 + 380*c**2 + 125*c.\nAnswer: 5*c*(c + 1)**3*(c + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j. Let k(i) = -5*i + 1. Let c be 128\/24 - (-2)\/(-6). Let t(q) = -6*q + 1. Let o(a) = c*k(a) - 4*t(a). Determine 2*o(m) - z(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (7\/(-5) + 0)*50\/(-10). Suppose -5*b - l*b = -6504. Suppose 2*i = -78 + b. Is i a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -423*o**3 + 11160*o**2 - 22324*o**2 + 11164*o**2 - 196*o**3.\nAnswer: -619*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/1512 - 9053\/28728. Let z = f + -1\/57. Let r(l) = -l - 7. Let q be r(-7). Sort q, 1, z in decreasing order.\nAnswer: 1, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -946 and -948 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*m + 42*m - 44 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.9 - -7.9. Put -3, -0.7, n in ascending order.\nAnswer: -3, -0.7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -117, 3, -2, 4 in decreasing order.\nAnswer: 4, 3, -2, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -452, -522, -592?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1915645\/4 or 478912?\nAnswer: 478912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*z + 2341 - 1909 = 0. Solve -5*p = -5*y + z + 7, -3*y + 4*p = -18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -a - 3. Suppose -5*f - a = 0, 3*p + 2*f + 27 = 8*p. What is the biggest value in p, -70, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -3*f - 17*f**2 - 11 - 3*f - 2*f. Let h(j) = 6*j**2 + 3*j + 4. Let q(y) = -8*h(y) - 3*w(y). Does 13 divide q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -546 + 288. Let i = -58193327141 + 58193326882.99999871. Let x = c - i. Round x to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -5*s**2 + 130*s - 56. Give c(25).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2798*u - 20237 = 1696*u + 5335 - 3102 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (76*j + 202*j - 58*j)*(4*j**2 - 4*j**2 - j**2 + (-2 + j + 2)*(-j + 3*j + 0*j)).\nAnswer: 220*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 249*i + 990. Let a = 30 - 19. Let x(s) = 49*s + 198. Let h(p) = a*x(p) - 2*z(p). Differentiate h(m) wrt m.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ztgszmgtsgzd. What is prob of picking 1 m, 1 t, and 1 g?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-2186)\/8)\/(63\/(-2268))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of -h**4\/12 - 4*h**2. Let k(w) = 0*w - w + 0*w. Give y(k(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96 = -414*h + 402*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, a: 3, i: 2, h: 3, z: 3, f: 4}. What is prob of picking 1 i, 1 f, 1 b, and 1 z?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnz. Give prob of picking 2 n and 1 z.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1608 and 4296?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00223009371 rounded to 6 decimal places?\nAnswer: 0.00223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -4874*m - 87724. Give t(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8909, -17679, -26297, -34757, -43053, -51179, -59129, -66897?\nAnswer: -74477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - 6\/(-3))\/(-2). Find j, given that -2*j**3 - 2*j + 0*j**2 + 4*j + m*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-5 - -1) + 9 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -815 - -1313. Suppose 82 = 5*r - g. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-2))\/((-4)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w**3 - 3*w**3 - 13*w + 14*w to r + y*w**3 + v*w + s*w**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1765201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 893747056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 94\/65475 and 58\/675.\nAnswer: 65475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 6*s**2 - 2*s + 3. Is f(4) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2435002 + -2?\nAnswer: -2435004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 14703061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 3*r - r - 14, 0 = 4*r - 4*n - 52. Suppose 0 = 4*x - 121 + r. Suppose u - h = 82, -5*h = 4*u - 264 - x. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5089.69 and 0.4.\nAnswer: 2035.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 AM and 10:25 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(891) - (sqrt(891) - sqrt(891)*-3)) + sqrt(891) - sqrt(891)) + -2)*-4)**2.\nAnswer: 1728*sqrt(11) + 128368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*s - 73*s + 16 = 2*q, 2*q = -19*s - 184 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-57 + 48)*(12464\/(-342) + 22)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2614*q + 292 + 751 + 123 + 809 wrt q?\nAnswer: 2614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jhjjjjjjjjhjjjh. What is prob of sequence jhjj?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1140 + 1148. Suppose -50 = -5*o + 5*r, -14 = 5*o - 7*o - r. What is the highest common divisor of o and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -92*j*s*w**3 - 289*j*s*w - 2*j*w**2 - s*w + 2*s - 10*w**4 - 2*w wrt w?\nAnswer: -552*j*s*w - 4*j - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32789 - 23064. Is 25 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 1. Let n = -96\/41 - -1578\/779. Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -5*b - 34. Suppose 8 = -4*v + 5*y - 0, -32 = 4*v + y. What is x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (7 - 9) + 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 908310670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + 11. Let f = 78678 - 78579. Calculate the highest common factor of k and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -386*k**3 + 500*k**2?\nAnswer: -2316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, c: 2, n: 1, u: 2, r: 6}. What is prob of picking 2 h, 1 n, and 1 c?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/(-11) + -5*(-1098)\/1155 and 76\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-48)\/(-42))\/4 - (-36)\/(-77). Suppose -4*u + 3 = -1, -6 = v - u. Put v, 3, d in decreasing order.\nAnswer: 3, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38299556 to the nearest integer?\nAnswer: 6189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 191 - 182. What is the lowest common multiple of 15 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 936\/(-52) - (-15 - 20)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8310725 divided by -829.\nAnswer: -10025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**3 - 1 + 1 + (-3*w + w + 3*w)*(2*w**2 + w**2 - w**2))*(0*w + 3*w - 10*w)*(-3 + 3 + w).\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, 7\/18, -9, -1\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 31577899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of -u**4\/4 - 2*u**3 - 7*u**2\/2 + 15054. Suppose 2*f + 17 = -3*z, -2*z - 4 = -z - f. Calculate s(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 626762342.\nAnswer: 2, 313381171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1718955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*x**3 - 205*x**3 + 47*x**3 + 45*x**3 + 52*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - 7*m**2 + m + 2. Let t be z(7). Let b = t - 3. Suppose -4*n = -b*n. Let l(r) = r + 4. What is l(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 + 3 - 1 - 7*z - 3. Let l be t(7). Let j be (0\/1)\/l + 3300000. What is j rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*s = -99 + 63. What is the remainder when 378 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48362 greater than or equal to 48364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54 and 144.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -224 + 223.9. Put 0, o, -0.04, 0.07 in decreasing order.\nAnswer: 0.07, 0, -0.04, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i**5 + 135*i**4 + 5555*i**3 + 10065*i**2 - 15750*i = 0.\nAnswer: -21, -3, 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4516 - -50291. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -15597  (b) -128  (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 1  (b) -2\/9  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 5928\nAnswer: -5\/5928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 13 = -3*y, b + 2*y = 2*b + 2. Suppose 2*j - b*j = 0. Suppose -152 = -113*c + 151*c. Put 1, c, 3, j in descending order.\nAnswer: 3, 1, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 3*u - 67 - 175, 0 = -4*n + 2*u + 982. Calculate the greatest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 - 2)*(4 - 6 - 1)*(c - 3*c - 8*c).\nAnswer: -120*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 0 - -6 - (0 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-4 + (sqrt(2057) + -1 + 2)*-6)**2 + (-4 + (sqrt(2057) + 1)**2 + sqrt(2057) - (0 + sqrt(2057)*2 + sqrt(2057))).\nAnswer: 1320*sqrt(17) + 76207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36*j**5*x + 30*j**4 - 6*j**3*x + j**2 - 5*x - 15 wrt j?\nAnswer: -2160*j**2*x + 720*j - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -5*w + 6. Let v(x) = 9*x - 11. Suppose 119*m = 118*m + 11. Suppose -i = m*i - 36. Calculate i*v(z) + 5*h(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84390 is divided by 212?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 2*c - 5562, -6*s - 5*c = -4*s - 2785. Calculate the greatest common divisor of s and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4795 take away 77758896.06?\nAnswer: -77763691.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 7922, 31669, 71244, 126647, 197878, 284937?\n\"Answer: 7914*x**2 + 5*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*s = 5. Suppose x + o + 0 = 2, -5*x + 4*o + 10 = 0. Suppose -x = -g - 3, 4*g = -4*w + 56. What is the highest common divisor of s and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*t - 18 = 8*t. Suppose 506 = 2*a + a + t*j, -2*j - 502 = -3*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -1 - 5*l**2 + 1. Let z(a) be the first derivative of a**3\/3 - 440. Give z(m(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6, w: 4, z: 3, m: 1, u: 1, i: 1}. What is prob of picking 1 z and 1 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -513*f + 6168 + 501 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from ajapppajappaaaajp?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of 34*h**5\/15 + 5*h**4\/24 + h**3\/3 + 122*h**2. What is the tens digit of p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 1 = 3*r. Let s be 45\/6 + r\/(-2). Let b(i) = 2*i + 6. Let j(c) = -c - 4. Let d(f) = 6*b(f) + 11*j(f). Give d(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1456, -1486, -1530, -1594, -1684?\nAnswer: -1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -265*b*k**2 - 4305*b - 15*k**2 - 23071 wrt b?\nAnswer: -265*k**2 - 4305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {i: 2, z: 6, b: 1, x: 5, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 4*q + 18 = -8*p, p + 2*q = -12. Let z = p + 4. Let t(c) = c**2 - 2*c + 0*c + 2 + 3*c. Determine t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 8400 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of z + 1\/63*z**7 + 0*z**3 + 1\/10*z**5 + 0 - 1\/15*z**6 + 0*z**2 - 1\/18*z**4. Factor n(a).\nAnswer: 2*a**2*(a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yjjjjjjjyjjjjjyjjjjj. Give prob of picking 4 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 8*q + 5. Let m be a(7). Let v = m + 2. Suppose 2*s = 4*k - 0*k - 8, v = -3*s + 5*k - 8. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -563\/153 in 2.7, 2\/5, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 425.4738 months in millennia?\nAnswer: 0.03545615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1620974, 1620962, 1620940, 1620908, 1620866, 1620814?\n\"Answer: -5*n**2 + 3*n + 1620976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-298935)\/1430)\/(-219)*-11.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 104.1591 rounded to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-4*(sqrt(500) + (sqrt(500) - 1*sqrt(500) - sqrt(500))) + -2*-1*(sqrt(500) + -2*sqrt(500)))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -204325 (base 6) in base 7?\nAnswer: -66140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 - s + 2. Let u(x) = 3*x**2 - x + 3. Let m(h) = 4*a(h) - 3*u(h). Let t(y) = -y**2 - 5*y - 2. Give 2*m(f) - t(f).\nAnswer: -f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -367*g**2 - 369*g**2 + 736*g**2 - 505*g**3.\nAnswer: -505*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 33 - 3. Let m = 3 - s. Let o = m + 6. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/(-24))\/(144\/32).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2056 - 2052. What is the smallest value in -2\/7, 5, v, 0.4, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28310 divided by 8\nAnswer: 14155\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19912 and 5502.\nAnswer: 418152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -141118487*b**2*g**2 - 402430*g**2 - 39 wrt b.\nAnswer: -282236974*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12110538989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 34760, 44, 2?\nAnswer: 34760","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -18*d + 13*d - 2*u, 3*d - 3 = -3*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2191296 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2*y = 12. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1427 + 1432. Solve 0 = 3*l + 3*v + 15, -6*l + b*v - 3 = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5731 + 7*k**3 - 13*k**3 - 11468 - 11*k**3 + 5737.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, 8, -6, -0.4, 3\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -6. Let y be 3 + -3 - u - 2. Solve -5*b - 5*j = y, -2 = -b + 4*b + j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or 0.03367?\nAnswer: 0.03367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1311580391?\nAnswer: 11, 119234581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 20 = 6*x. Let o(b) = -x*b**2 + 470*b**3 + b + 16 + 3*b**2 - 17. Is o(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 400 and ((1 + -5)\/(14\/(-6)))\/(582\/10864).\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 114685377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60057 is divided by 59892.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 133*x = 134*x + 57783, 0 = 4*d - 2*x - 57790. What are the prime factors of d?\nAnswer: 2, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32278 is divided by 83?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11*(-10)\/55)\/((-6)\/(-15)). Solve -3*r - 2*z + y - 11 = 0, z = 5*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of -2*y**5\/5 + 13*y**4\/2 - 92*y**3\/3 + 12*y**2 + 144*y + 350. Suppose t(u) = 0. What is u?\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z + 1. Let c be v(1). Suppose 2*n + c + 1 = 0. Let q be 50000 + (n\/(-2) - 1). What is q rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -7 - -2 - (58311\/(-612))\/19. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 151 in -36, -3\/7, -1.1, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of 0 - 85001\/6*s**3 + 3*s - 4*s**2. Let d be j(-8). What is d rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + 3ba8a?\nAnswer: 3ba91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -147\/2 + 72. Let k(r) = 24*r - 97. Let z be k(4). Which is the nearest to z?  (a) v  (b) 5\/2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 729524128 divided by 81584.\nAnswer: 8942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18183744, 36367486, 54551228, 72734970, 90918712, 109102454?\nAnswer: 127286196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -460 divided by -6?\nAnswer: 230\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 PM and 5:25 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/18 and 77\/260363025.\nAnswer: 520726050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -64\/5, 93, -1\/10, 2\/3?\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/100*50\/15?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.3 + 1.9. What is the nearest to 1\/4 in 2\/3, n, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (10\/(-30))\/((-2)\/204)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) -1\/4  (b) -0.5  (c) 1  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 104600 and 5800.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1258016 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45.6 + 49. Put -5, x, 1 in descending order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22996474, -22996482, -22996496, -22996516, -22996542, -22996574, -22996612?\nAnswer: -22996656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 166\/5 - 34. What is the smallest value in 6, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/135)\/((-16)\/36)*-14?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - 1. Let z = f + 5. Let d be ((-8)\/(-230))\/((-6)\/(-15)). Which is greater: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 38 - 62 = 0. Calculate the lowest common multiple of 10 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, z: 2, t: 7}. Give prob of sequence ooz.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 0.02568649\nAnswer: 0.12843245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 6) in base 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -68388*v**2 + 1080*v + 45 wrt v.\nAnswer: -136776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.4 - -0.3. Let l = 8.2 - 11.2. Sort -4, n, l, 2\/9 in decreasing order.\nAnswer: 2\/9, n, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 6 + 22. Suppose -8 + 0 = -v*t. Find the third derivative of 3*d**5 + d**t - 6*d**5 + d**2 wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 - t**3 - 51*t**2 + 24*t**2 + 27*t**2 as p*t**3 + s*t**2 + a + i*t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**2 + 428302*d + 1713224 = 0. Calculate d.\nAnswer: -4, 428306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51734006.999977 - 51734062. Let y = v - -55. Round y to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 7)*(3 - 3 - 4*z)*(-5*z**3 - 4*z**3 - 9*z**3).\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12 - 16 - 120)\/(2\/(-110)). Let b(h) = h**2 + 4*h + 4. Let q be b(-6). Factor 6820*a**2 + q*a - g*a**2 - 4*a**3.\nAnswer: -4*a*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -212, -780, -1728, -3056, -4764, -6852?\n\"Answer: -190*d**2 + 2*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -411*y + 4075 = 669*y - 917*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*g*n - 2648709*g + 337*n - 8302 wrt g?\nAnswer: -3*n - 2648709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -22  (b) -16.1  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5348216293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6600 by 6600.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**5 + 530432*o**4 + 13790306*o**3 + 112972084*o**2 + 303378328*o + 256703920 = 0.\nAnswer: -265190, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(245) + -1)**2 - (sqrt(25)*1*2 - sqrt(25) - sqrt(25))\/sqrt(5))*6 + 4 + 1.\nAnswer: 84*sqrt(5) + 1481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, j: 1, m: 1, x: 3, e: 1}. Give prob of sequence me.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*(g**(-2\/39)*g)\/g)*g*g\/(g**6*g)*g)**(1\/13)*(((g**(-5)\/g)\/g)\/g**2)\/(g\/(g*g**0))**(2\/11) assuming g is positive.\nAnswer: g**(-4717\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14493 - 7898683\/545. Let w = 5\/733494 - 60697991\/199877115. Let y = c + w. What is the common denominator of y and -25\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5\/(-8)*4*1*-2. Let q(h) be the second derivative of -h**3\/6 + h**2\/2 - 114*h - 1. Calculate q(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.20133 + -0.19791. Round n to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ezl when three letters picked without replacement from {l: 4, e: 2, z: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 500025 or 500029?\nAnswer: 500025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68495706.\nAnswer: 2, 3, 563, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let a be 16\/10 + -1 - (-51)\/(-85). Solve -2 + a = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v - 4. Let n(p) = -p + 3. Let y(o) = 6*n(o) + 5*u(o). Let f(q) = 1. Suppose 0 = -6*a + a + 24*a - 19. Let s = 9 + -5. What is a*y(z) + s*f(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 + 6*n + 9. Let v be t(-6). Suppose -q = v - 9. Find the first derivative of -4 + q + 4*f**4 - 7 wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 5 = 0, -3*d - 3*y + 44 - 137 = 0. Let l = d - -22. Is l greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 + 42. Calculate the greatest common divisor of 35 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2701 divided by 6.\nAnswer: 2701\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -312 = -4*b - 36. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -355*x - 310*x + 29260 = 0 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3297*h**2 + 5194*h**2 - 1899*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of n**6\/180 - 3*n**3\/2 - 9*n**2 - n. Let h(w) be the first derivative of z(w). Let p(u) = 52*u. Calculate h(p(c)).\nAnswer: 5408*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h**3\/3 + 44*h**2\/3 - 3698*h\/3 - 3740\/3 = 0 for h.\nAnswer: -55, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11778 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 395 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1574 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 57*g**2 - 63*g + 316. Give w(56).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13577832 by 4.\nAnswer: 3394458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 77142 by 1794.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 10429, -16 in decreasing order.\nAnswer: 10429, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/6 - 89*z\/3 + 59\/2.\nAnswer: (z - 177)*(z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g - 5. Let k(r) = r**2 - 3*r - 3. Let j be k(3). Let l be m(j). Differentiate 8*t - 5*t + 0*t - l with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - 20\/(-2)) + -2. Let l be 6\/k - 88\/(-12). Let m = l - 1. What is the greatest common factor of m and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, h: 3, w: 5}. What is prob of picking 1 y and 1 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-29 + -3 + 51).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-12) - ((-10536)\/(-1584) + 94\/517)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 - -20. Let l be (6\/4)\/(g\/32). Suppose 4*k + 20 = 0, -2*i + l*k + 135 = 3*k. What is the highest common divisor of 22 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(242) + 2 + sqrt(242) - (-4 + -2*sqrt(242))) + -4*-1*sqrt(242) + -3)*-1)**2.\nAnswer: 528*sqrt(2) + 15497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v**3 - 5*v**2 + 3*v + 3. Let n be b(6). Let t = n - 261. Solve 13 = -4*i + w, 0 = i + 2*w + 4 - t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 39182*c**3*h**2 + 51138*c**3 - 2*c*h**2 wrt h?\nAnswer: 78364*c**3*h - 4*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-26)\/(-6) + (-2)\/(-3). Let p = 654 + -368. Let n = p + -286.02. Are n and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 402860855.\nAnswer: 5, 80572171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - -3*(1 - 2). Is 9\/i*(-268)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-59060.\nAnswer: -29530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y + 9. Let x be f(-5). Let m(i) = -i**2 + 4*i + 2. Calculate the lowest common multiple of m(x) and (-1 - -3 - 20)\/(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 19*h**8\/1680 - h**5\/30 + 10*h**3\/3 - 31. Let y(t) be the third derivative of n(t). Find the second derivative of y(d) wrt d.\nAnswer: 228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 457958 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2805, 2804, 2803, 2802, 2801, 2800?\nAnswer: 2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 3*b, 5*b - a = -2*a. Suppose b = 4*w + w - 175. Suppose 0 = 4*r - 13 - w. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1331, -1285, -1205, -1091, -943?\n\"Answer: 17*o**2 - 5*o - 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of -g**4\/12 + g**3\/3 + 3*g. Let j(n) = 3*n. Let d(a) = -3*i(a) + 4*j(a). Find the second derivative of d(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, -8, 2, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -8*u**3 - 5*u**2 - 3*u. Let z be i(-3). What is the highest common divisor of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-64)\/(-8) - 6\/2. Find the second derivative of -4 + 2*y**x + y + 0*y**5 + 4 wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -313.6886 to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 24264533 (base 8) in base 15?\nAnswer: 705cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 104, 110, 120, 134, 152, 174?\n\"Answer: 2*h**2 + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -20*v - 48. Does 13 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 - (3 - (-3)\/(-1)). What is the second derivative of 7*u**3 + 2*u - 4*u**5 - 7*u**v wrt u?\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/7  (b) -2\/5  (c) -67  (d) 1  (e) 5  (f) -4\/19  (g) -3\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - i + 127 = 0, -23*p + 2*i = -27*p + 126. What is the greatest common divisor of p and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 82 divided by -41\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 6*y**2 - 4*y + 2. Let p be b(3). Suppose p = z + z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*((-3)\/(-2) - -1). Suppose -17 = -k - 5*d + 29, -3*k = -4*d - 100. Suppose k = c*p - 2*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - -11.2.\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 101179403 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -3*s**4 - 155736*s**3 - 2019892653*s**2 + 32497944456*s + 1814081935536 = 0.\nAnswer: -25964, -23, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 883.2 from 0.3081.\nAnswer: -882.8919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75.96142mm to meters.\nAnswer: 0.07596142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-2*(sqrt(99)*1 - sqrt(99)))\/((-1*sqrt(900) - sqrt(900)) + sqrt(900)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (81\/(-36))\/(2\/(-8*1)). Let x(j) = j**3 - 9*j**2 + 6*j + 3. Let v be x(d). Suppose -492 = v*c - 60*c. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 511218155.\nAnswer: 5, 7, 367, 39799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -8375*m**3 + 5*m**2 - 3*m - 8. Is j(-1) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27983649, 27983648, 27983647, 27983646?\nAnswer: 27983645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-26)\/4 + 2)\/(9\/234). Let p = 74 - k. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0389 + 0.1611. Which is the closest to 1?  (a) r  (b) -0.05  (c) -0.4  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*t, 0 = -2*v + 18*t - 15*t + 7. Let h be 1*v - (-6 - (236 - 4)). Calculate the highest common divisor of h and 320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 2. Let h be (w + (-4 - -2))*1. Let u(z) = -5*z**2 - 4*z + 4. Let g(t) = -26*t**2 - 21*t + 21. Let n(p) = 2*g(p) - 11*u(p). Determine n(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5118685*b**3 - 205*b**2 + b + 15.\nAnswer: -30712110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44 and 293315?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -23 by 24202.\nAnswer: -23\/24202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -168*w**5*z - w**3*z**2 + 5*w*z + 4*w + 3*z**2 wrt w.\nAnswer: -3360*w**3*z - 6*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -279*v - 5*r + 5 = -283*v, -5*r = -v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 r when four letters picked without replacement from {f: 3, d: 3, r: 3, z: 1, m: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2256, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -8, 2536, -2, 1.\nAnswer: -8, -4, -2, 1, 2536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 1. Suppose 3*r = 2*u - 6*u - 3, -2*r - g*u - 6 = 0. Suppose 8*v - 15*v + 112 = 0. Solve 5*b + c + 22 = r*c, -5*b - 4*c - v = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -800 = 3*u + u. Let t be (120*u\/(-12))\/((-1)\/(-55)). Round t to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vss when three letters picked without replacement from {s: 2, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(245) + -1)**2 + 2.\nAnswer: 42*sqrt(5) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 285912200, 571824401, 857736602, 1143648803, 1429561004, 1715473205?\nAnswer: 2001385406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 42808845*i**5 + 3530*i**2 + 38*i + 47?\nAnswer: 2568530700*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0.01  (b) -3  (c) 26\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*t - 23297*t**2 - 11506*t**2 - 1 - 13386*t**2 + 15561*t**2.\nAnswer: -32628*t**2 - 52*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((105\/35)\/(6\/(-8)))\/(12\/8904*53).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*b + 86*b - 48 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1041 + -5177\/5. Let l = -117\/20 + w. Let y = 4 - 2. What is the closest to y in 1, 0.3, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 55600371?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pxmp when four letters picked without replacement from {p: 1, m: 2, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44 - -62. Let d = -122150 - -122189. What is the least common multiple of d and a?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**5 + 4*i**5 - i**5 + (64*i**3 - 64*i**3 - 24*i**5)*(-9 - 1 + 8).\nAnswer: 49*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*h - 80*h + 10*h**3 + 11*h**3.\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hpph when four letters picked without replacement from pphppipppphhphphp.\nAnswer: 55\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 581?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21266056?\nAnswer: 2, 7, 379751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122222021112112 - -1?\nAnswer: 122222021112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + -3 - 2*-2. Suppose y - 7 = 4*b + 2*y, 0 = w*b + y + 4. Let u be (0\/b)\/(-2 + 4). Solve -5*c + 17 = -i, u*i = i - 4*c + 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/(((i**(-3\/2)*i)\/i)\/i)*(i*i*i\/(i\/(i*i**2)))\/i)\/((i*i**(2\/3)*i*i)\/(i\/(i**(-5)\/i))))\/((i**(1\/4)*i)**40)**32 assuming i is positive.\nAnswer: i**(-9529\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4+-318344400\nAnswer: -318344396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*o + 5*p - 17, -3*o + 5 - 6 = -p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-11)*(w**(-11)*w*w)\/w*(w\/w**(-4\/5))**4 assuming w is positive.\nAnswer: w**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1751426732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/(-2))\/((-11)\/(-264)). Let g be 21 - (5 + b\/3). Calculate the greatest common factor of g and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b = 3*j - 38, -37*b - 31 = -73*b + 30*b - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -4*g + 389. Let s be a(86). Solve -5*r - 4*i = s, 4*r = 5*i - 40 + 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -3, -0.5 in increasing order.\nAnswer: -3, -2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 279.8871 from 4.\nAnswer: -275.8871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - 0.304?\nAnswer: -13.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-5) - 1\/(-10). Suppose 0*n = -3*n + 66. Let b be 62\/n + (-16)\/(-88). What is the second smallest value in b, -3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 9:52 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*d + 4*l = -89 - 23, -5*d + 8 = 4*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2683\/42785 - -6\/199. Calculate the common denominator of p and 36\/43.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 319\/4 + -80. Let g(v) = 7*v + 3. Let x be g(-1). Which is the third smallest value?  (a) -2  (b) x  (c) r  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5479\/2 or -2739?\nAnswer: -2739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from eqekttikqkeqqqtttk.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -812.51 + 853.3. Let r = k - 41. Let w = 0.41 + r. Which is the second biggest value?  (a) -4  (b) w  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.0165 + -0.0165. Let s = -0.04 + 0.24. Let p = s - 0.6. Which is the closest to -0.3?  (a) -2  (b) p  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 379874549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1600 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4338880.\nAnswer: 2, 5, 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of -35\/2*w**2 + 0*w**3 - 12 + 0*w + 1\/8*w**4. Let t(a) be the second derivative of i(a). Let c(n) = -22*n. Determine c(t(j)).\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 3*t - 51 = -0, -4*a + 14588*t - 14583*t + 135 = 0 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - -4) + 2 + -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 AM and 11:27 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -15*z**2 + z - 1. Suppose 5 = 5*u + 5*v, 3*u + 2*v - v = 3. What is w(u)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 326 - 326.2. What is the second biggest value in -0.19, p, -3\/4, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -129*j**3 - j - 4. Let q(k) = -193*k**3 - k - 6. Calculate 7*g(h) - 5*q(h).\nAnswer: 62*h**3 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4602 is divided by 62?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**4 + 2*m**4 - 3*m**4)*(5*m - 2*m - m) - 11*m**5 + 8*m**5 - 41*m**5.\nAnswer: -46*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 5*y**2 - 2*y - 426. Does 40 divide k(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 5 + 9*y + 17*y + 6*y. Suppose 5*z + 25 = 0, 4*z + 20 + 3 = m. List the prime factors of a(m).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -x - 2160000. What is x rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 11, l: 1, k: 8}. What is prob of picking 2 b, 1 l, and 1 k?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 819 and 1092.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18301 - -18406. What is the greatest common divisor of 294 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138*r**2 - 55*r**2 + 71*r**2 + 121*r**2.\nAnswer: 275*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/(-9))\/((-4)\/(-6)). Let h(g) be the second derivative of 2*g**5\/5 + g**4\/12 - g**3\/6 + g**2\/2 - 11*g. Determine h(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 0*o - 4\/3*o**2 + 10\/3*o**3 - 8\/3*o**4 + 2\/3*o**5.\nAnswer: 2*o**2*(o - 2)*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 + 43. Suppose n = c - 3*c + 177, 4*n + y = 0. What is the greatest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 698 - 695. Solve j*m + 3*h = 5*h + 11, 20 = 5*m - 5*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/29, 1\/10, 3, -4\/9, -2\/13 in decreasing order.\nAnswer: 3, 1\/10, 1\/29, -2\/13, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 3:44 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004999845 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -2*q. Let g(j) = -52*j - 9. Let v be 4\/(-18) - (-415)\/45. Let t(h) = -26*h - 4. Let k(p) = v*t(p) - 4*g(p). Determine y(k(l)).\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2*l + 131 = 549, 1053 = 5*a - 3*l. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 6, i: 1, z: 5, o: 1, m: 1}. Give prob of sequence yy.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2557 - 2480. What is the greatest common factor of 33 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f - 6*f - 2*f + (-1 + 1 - 2)*(0*f - 4*f + 5*f) - 2 - f + 2 + 2*f + 0*f - 4*f + 2 - 846*f + 457*f + 598*f.\nAnswer: 194*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**2 + 2*r + 2. Let g(s) = -s**3 - 4*s**2 - s - 2. Let c = -15 - -11. Let w be g(c). Let i(y) = y - w*y - 1 - 3 + 3. Determine -b(m) - 2*i(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 2*p**2 - 5*p + 284. Is o(0) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-14) + ((-132964)\/91)\/(-1) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, 4, -1, 89, 0.3 in decreasing order.\nAnswer: 89, 4, 0.3, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1463020 divided by -1105.\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 180053*k**2 + 484 - 180029*k**2 + 823 - 28*k**3 + 8*k**3 wrt k.\nAnswer: -60*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34180 = -1835*p - 6655 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h - 46 - 44 + 6 = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from ixxfuxxxiuux.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16.2 + -16. Let f = -0.1 - 0.1. Is f <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 486 and 1989765.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1851417815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -354*k + 82 = c - 358*k, 0 = -k - 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**2 - 2*a**2 + 6*a**2 + (-3298*a + 378*a - 1298*a)*(-4*a + a + 2*a).\nAnswer: 4220*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 10298348?\nAnswer: -10298348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(68))\/sqrt(4) + -4 + -3 + (sqrt(153)*-1)**2.\nAnswer: 4*sqrt(17) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -4*g - 12. What is z(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2023547 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 573*u - 61652. What is l(107)?\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 1 + 1 + (0 - 2 - 1)*(-5 + 15 + 15))*(-2*j + 0 + 0) to t + f*j and give f.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4056691179 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 15*j - 858. Let a = j + -62. Find the second derivative of -26*y**4 + 16*y**4 + 25*y**a + 17*y wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2 + (-267)\/(-24) + 2 and -17\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.244902617 and 3?\nAnswer: 3.244902617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h + 3. Let n be m(7). Let p = n - -9. Let u(t) = -1 + 8*t - p*t - t**2 + 3. Give u(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1692*k = -1703*k. Let x(g) be the third derivative of 0 + k*g**5 - 10\/3*g**3 - 9*g**2 + 0*g + 1\/40*g**6 + 0*g**4. Differentiate x(d) wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 6 = -5*k + 31, -5 = 5*m - k. Solve m = -111*f + 102*f + 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(216\/(-12)))\/(((-84)\/16)\/(-7))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 166413*g + 3827503. Determine o(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -15532 < -357217\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34041 (base 6) to base 7.\nAnswer: -16633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -44398368 and -0.94.\nAnswer: -44398368.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -77, -72, -63, -50, -33, -12, 13?\n\"Answer: 2*p**2 - p - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46393 - 46393 - 23*n**3.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + c = 2*r + 44, 3*r + 3 = c. Let d(y) = y**2 + 7*y - 14. Let f be d(-9). Suppose i + f = c. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 621 (base 15) to base 14.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.9, -3, -1.4, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(3\/10)*k\/(k*k**(-41)\/k)*k**(6\/35)*k\/((k*k\/(k**(-2\/57)\/k)*k*k)\/k*k*k*k*k) assuming k is positive.\nAnswer: k**(141391\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -21*q - 538. Calculate r(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -4*b + 15, 2*b - 2*k = -6*k. Is (56\/6)\/(b\/117) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeececeeeee. What is prob of picking 4 e?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -8  (b) -2\/3  (c) -2  (d) -3  (e) 1505  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40052234 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/22)\/q*q*q**(-3\/4))\/((q\/(q*q\/(q*q*q**(-2\/3))*q))\/(q*q**19)) assuming q is positive.\nAnswer: q**(2635\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 540\/(-70)*(-14)\/10*60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 u, and 1 d when three letters picked without replacement from udnnxuknn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/740142 and -6\/3163?\nAnswer: 740142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 2:27 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - -6) + (0 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 672 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(80) - (sqrt(5) + -1 + -4).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add -1442377 and -0.048.\nAnswer: -1442377.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 + 0 - 2*i - 1 - 3*i - 3 to a + p*i and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 514116?\nAnswer: 2, 3, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -56 and -0.14.\nAnswer: -56.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 745 a factor of 94081595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 165788 and 183706.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 98\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mhhccmchmhhm. Give prob of picking 2 h.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 3*q = 6, -11*q + 13*q + 4 = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 981 and 196527?\nAnswer: 589581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 963517459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16087048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4*r. Let a(w) be the second derivative of 7\/6*w**3 + 0 - 24*w + 0*w**2. Calculate h(a(v)).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -m - 10, -2*r - 2*m = 3*m - 16. Suppose 0*k - 54 = -r*k. Let s = -6 + k. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b - 3. Let p(q) = -6. Let d(o) = 7*j(o) - 4*p(o). Let u = -1 + -2. Calculate d(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 471898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*i**3*k**3*r - 2*i**3*k**2*u + 482*i**2*k*u + 80*i**2*r - 2*i*k**2*u + k**3*r + 6*k**3*u + 608*k**3 wrt k.\nAnswer: -24*i**3*r + 6*r + 36*u + 3648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - m - 1. Let r(a) = -9*a**2 - 3*a + a**3 - 4*a + 6*a - 4. Let u(x) = -4*d(x) + r(x). Let z = -7 + 10. Determine u(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*t**4 - 4*t**3 - 137*t**2 wrt t?\nAnswer: 576*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -19*y - 22. Let z be n(7). Let s = z - -157. Solve 0 = -s*j - j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34680 by 6.\nAnswer: -5780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -150, -25\/44, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 divided by -1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 512202259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2333530 - 141?\nAnswer: 2333345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 11:50 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.3 + -3.5. Let x = h - 0.8. Which is the fourth biggest value?  (a) -4  (b) 13  (c) x  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + p = -3, 4*w - 25*p + 20*p - 29 = 0. Solve 0 = -4*g - 3*r - w + 8, 0 = g + 3*r - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 5:05 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 745040*x - 43368. Let t(c) = -1117*c + 65. What is -3336*t(p) - 5*z(p)?\nAnswer: 1112*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -8\/7, 5\/3, -2, 1\/3 in descending order.\nAnswer: 5\/3, 1\/3, -8\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = -3*x + 86, -164 + 91 = -7*x + 2*y + 119 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (-3 - (-14 + -5 + 11 + -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/(m\/(m*m\/(m\/(m*m**(2\/17))*m*m)*m*m))*m*m*(m\/((m\/(m\/m**(-33\/5)*m))\/m*m*m*m))\/m*m*((m\/(m**(-37)\/m))\/m)\/(m*m\/m**9*m) assuming m is positive.\nAnswer: m**(4651\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5540.93 rounded to the nearest 10?\nAnswer: 5540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2078928375?\nAnswer: 3, 5, 179, 30971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 703*l + 7. Let k(t) = -t**2 - 2. What is c(k(u))?\nAnswer: -703*u**2 - 1399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -34\/7  (c) -0.4  (d) -8\/5  (e) -9  (f) -24\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2*q - 14. Let u be x(12). Let c = -8 + u. Suppose 5*r + v = c*v + 334, v + 267 = 4*r. What is the remainder when r is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**2 - 4*j**3 - 11*j**2 - 15*j + 3*j**3 + 17*j - j**2 + 8 as g*j**3 + z*j**2 + o + p*j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9612 divided by 3.\nAnswer: 3204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/16 at most 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38, 68, 142, 278, 494, 808, 1238?\nAnswer: 1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/3  (b) 1  (c) 1\/978\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34901 - -70248. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*l**3 - 16*l**3 - 18*l**3 + 81*l**3 - 19*l**3 - 12*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 698\/235, 2, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m - 4*m + 14*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2295*i = 2297*i + c + 14, -c - 149 = 29*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208414.\nAnswer: 2, 104207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-7) - (-1)\/28. Let v be 6\/(-28)*-15*(-28)\/315. Which is the nearest to -1?  (a) 0  (b) v  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 7 = k, 5*f - 9 = k - 2*k. Suppose -2*z - 2*z = -5*j + 31, f = -2*j - 2*z. Is 3 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of a**8\/20160 - a**7\/630 - a**6\/180 - a**5\/5 + 11*a**2. Let s(y) be the third derivative of d(y). Calculate s(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 272719.3 millennia to months.\nAnswer: 3272631600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, -143, 1.3, 0.2, 0 in decreasing order.\nAnswer: 4, 1.3, 0.2, 0, -2, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + 5\/3)*(-123)\/164. Suppose -6*u = -2*u + 52. Let t = -223\/60 + 35\/12. What is the smallest value in 4, p, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/23 + 125575528*o\/23 - 1971151654059848\/23.\nAnswer: -2*(o - 31393882)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.065 - 0.045. Let m = 0.02 - t. Which is the closest to 0?  (a) m  (b) -2  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8 + -26)\/(-35 - -32)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -s**3\/3 + 9*s**2\/2 + 5*s - 9. Let j be p(10). Let a = 31 - j. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 2*y + 4. Is 3 a factor of (2\/(-3))\/(y\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - 1401520?\nAnswer: -1401521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 99 = -5*c + 9, -m - 2*c + 6 = 0. Calculate the greatest common divisor of m and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2616 or -3958?\nAnswer: -3958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*o**3*v**3 - 1568*o**3 - 2*o**2*v - 981*v**3 wrt v.\nAnswer: 18*o**3*v - 5886*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 162 divide 636212421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -11178.384 to the nearest one hundred.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -10. Find the common denominator of -71\/2 and 97\/20 + (p - 7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.29*5641\nAnswer: -1635.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -2, -1\/7, -105.6, 3\/5, -4 in decreasing order.\nAnswer: 3\/5, 2\/5, -1\/7, -2, -4, -105.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*b**2 - 3007 - 4198 - 4125 + 2721.\nAnswer: 32*b**2 - 8609","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-2)*-4*(-3)\/(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 1. Let k = b - -19. 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: Let g = 2.7 + -25.7. Which is the nearest to 0?  (a) -4  (b) g  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**2 + 10*n + 3. Let h be u(-5). Let s be -3 + h + -1 - -2. Let j(l) = 23*l + 3. Is j(s) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -z + 2*u + 36, 3*z - 177 = 3*u. Let y be -9*(-4)\/(-12) - z. Suppose g + 201 = -2*g. Is y < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pxxqxxqqxyxqxpx. What is prob of sequence xq?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.4 + 0.6. Let i = -6 + j. Let p = -114 + 795\/7. Which is the nearest to 1\/4?  (a) -3  (b) i  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 1)*(3*b**3 + 0*b**3 - b**3) - 88045 + 88045 - b + 47*b**3.\nAnswer: 45*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10296\/48*(6 + -2)\/(-648) and 62\/63.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (299 + 886*c + 302 - 603)*(2*c - 2*c - 3*c).\nAnswer: -2658*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 416\/40 - (-2)\/(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.062, -2\/13, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 - 0.5. Let p = 1337\/13 + -103. Suppose -2*o = 3*v + 5, -2 = 4*o - 3*o + 2*v. Put p, o, k in increasing order.\nAnswer: o, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/11896 and -49\/14870?\nAnswer: 59480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 + 10*b**2 - 10*b + 3. Give q(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 - 10. Let m = -6 - c. Calculate the greatest common factor of 128 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 19646, 19633, 19614, 19589?\n\"Answer: -3*l**2 - 4*l + 19653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 155160 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 577*h - 1. Let r(c) = c**2. Calculate r(m(w)).\nAnswer: 332929*w**2 - 1154*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3235004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*k - 3 + 16 = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**0*s)**(-1\/5))**(-15\/7) assuming s is positive.\nAnswer: s**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 + -29. Suppose q = j - 0*s + 5*s, 3*j + 4*s = 23. What is the units digit of (-2 + 1)*(-21 + (j - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -3, 40 in decreasing order.\nAnswer: 40, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b (base 16) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 310 and 193130.\nAnswer: 193130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 969756867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 4*n**5\/3 + 4*n**4 - 20*n**3\/3 - 4*n**2 + 16*n\/3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.022 + 0.078. What is the nearest to s in 0.2, -3, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + k, 0 = -5*w - 2*k. Solve w = -5*y + 3*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*58.6783\nAnswer: 17.60349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + 7*r**2 + 4*r - 32. Calculate l(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.2 + 1.1. Let y be (-46)\/483*(2\/4 + -2). Which is the closest to 0?  (a) u  (b) -0.3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2273, -1\/3, 0.1, -4, 1\/2?\nAnswer: 2273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 1. Let j = -1304 + 1304.2. Let f = -161\/5 + 33. What is the nearest to -1\/3 in f, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 203417.6 from -19528666.\nAnswer: -19732083.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that w**5\/3 + 10*w**4\/3 + 29*w**3\/3 + 8*w**2\/3 - 16*w = 0.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -3*f**2 - 9*f - 13. Calculate d(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 69 + 35. Suppose 64 = 3*s - z. Suppose 3*m - s = -m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*u + 253*u - 110*u.\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.15 and 3157.\nAnswer: -473.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/8970785 and -121\/418056.\nAnswer: 215298840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 - x - 2. What is r(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 + x. Let r(u) = -3*u**2 - 5*u + 2. Let o(w) = -4*a(w) + r(w). Let q be o(9). Find the second derivative of 8*y - 2*y**2 + y**q - 13*y wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of 3\/4*v**5 - 2*v**6 + 5\/6*v**7 + 0 + 0*v**2 + 0*v**3 - 2*v + 5\/6*v**4. Solve h(g) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 965361 and 965361 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7}. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 5 - 3)*(x + 32 - 32) + (-2 + 3 - 2)*(6 - 6 + 2*x) + 1 + x - 1.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 176337 by 21.\nAnswer: 8397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -49*n**2 - 60*n**2 - 40*n**2 - 49*n**2 - 31*n**2 + 238*n**2. Let u(b) = 2*b - 2*b - 5*b. Determine z(u(o)).\nAnswer: 225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -55.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7\/68 + 6\/17. What is the nearest to 0 in f, 0.2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153\/21 + 27\/(-21) + 19 + -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/2 + -3 + 40\/(-90).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 5 = 4. Let v(x) = -2*x + 4. Let l(n) = -168 - 190 + 347 + 5*n. Determine q*l(k) + 8*v(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 15 = -5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 73357733147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2342*r + 86677. Determine t(-37).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-10)\/(-20))\/(21\/(-4)). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 844060 is divided by 84348?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1092\/(-10))\/(4 - 152\/40). Let v = r + 1065. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*c + 140 = -25*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4003*j - 924301 + 924301.\nAnswer: -4003*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200590.\nAnswer: 2, 5, 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.17 minus -33548?\nAnswer: 33548.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + i**2 + 6. Suppose -y = 2*y. Let x be z(y). Let w = -4 + x. Solve w*m - 8 = -0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 671\/8 - 84. Which is the smallest value?  (a) -5  (b) 4  (c) q  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 13*i + 22. What is s(2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005223935968 rounded to seven dps?\nAnswer: 0.0000522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*g**3 + 592*g**2*t + 16738*g*t wrt g.\nAnswer: -30*g + 1184*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from twtmmtwwtmettemj. Give prob of sequence mj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*c - 1679 = 0, 367 + 2425 = 5*v - 3*c. Suppose -6*x - v = -2905. What is the highest common divisor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 70 = 4*p, -8*z + 3*z = -2*p + 20. Let j = -10 + p. Let a(c) = c**3 - c + 5. Let r be a(0). Solve -4 = -0*s - 4*s - 4*k, -j*k - r = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**0\/s)**(-1\/5)\/(s**9*s*s*s*(s\/s**6)\/s) assuming s is positive.\nAnswer: s**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -483*j + 42. Let m(h) = 20768*h - 1792. Determine -3*m(g) - 128*v(g).\nAnswer: -480*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 857.8405 millilitres in litres?\nAnswer: 0.8578405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -89 + 111. What is the highest common factor of j and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3423139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/4 + 102\/(-12). Let r(u) = -6*u - 1. Is r(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 3\/18*-4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36840\/61 greater than 605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50\/(-150) + 16\/(-60).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 + -54. Let w(m) = -3*m + m - 3 + m. Give w(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 22622, 22623, 22624, 22625?\n\"Answer: m + 22621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**2 - 1 + 1 + (3*k - 4*k + 0*k)*(-49 + 4*k + 49) - k + k + 2*k**2 - 3*k.\nAnswer: -3*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -3. Suppose 2*a - 3*a + j = 0. Let l be a + (0 - -6) + -2. Solve 0 = -2*r - 0*r + l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 113 + (-2 - (13 + -17 - -17)) + 13?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (14 + -4 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, u: 3, r: 1, x: 2, p: 4}. What is prob of picking 1 p and 1 x?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11 - 25*y**2 - 1 + 14 - 8 to b*y**2 + i + a*y and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 10*d + 15. Put 0, d, -2 in increasing order.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/45)\/((-941)\/498 + 2). Let d = w - 4\/33. What is the second biggest value in d, -0.4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 91557\/5 - 18\/(-30). Suppose 8*b = 3*b - r - 30503, 3*b + y = -4*r. What is b 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 -56*r + 97*r - 15*r**2 - 20*r**2 - 41*r.\nAnswer: -35*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/3*2\/(-1). Let l(m) = -m. Calculate the remainder when l(s) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 395 divided by 79.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -6*o**3 - 36. Let d(f) = -f. Give d(i(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 522011597 to the nearest integer?\nAnswer: 22848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 8:21 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50041651714284.4999934 - -50041628110814. Let n = l + 23603501.5. Let x = -31 + n. Round x to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 197\/12168 or 1?\nAnswer: 197\/12168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 4 - 14 = 0, 12 = 2*k + 4*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137656 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(190)*1 - sqrt(190)) - sqrt(190)) + sqrt(190) + sqrt(190) - (sqrt(190) - -2*sqrt(190))*4)\/(sqrt(70)\/(sqrt(28)*2)).\nAnswer: -44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 3*l - 2. Let p be u(-4). Suppose p*k = -2 - 6. Which is the smallest value?  (a) -0.1  (b) k  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*p + 11*p - 30*p.\nAnswer: -102*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q**3 - 20*q**2 - 18*q + 21. Let n be g(-9). Solve -n*c + 3*c = 36 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6 + 3 + (-2)\/((-2)\/11). What is the third biggest value in 0, r, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1018042868 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 7:03 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11102 - -1?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*j + 12*j - 1 - 24*j)*(0*j + 0*j - 3*j).\nAnswer: 6*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1011002212 - 0?\nAnswer: 1011002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26\/99 - -4\/9. What is the third biggest value in j, -0.03, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*r + 17 - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/5  (b) 15637  (c) -0.1  (d) 0.2  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2\/4 - 6411*g\/2 + 13700307\/4.\nAnswer: 3*(g - 2137)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -87.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from lhhnuuhynmhhn.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 13631 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -541, -1032, -1581, -2194, -2877, -3636, -4477, -5406?\n\"Answer: -f**3 - 23*f**2 - 415*f - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 636906 a multiple of 1051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 53*j + 172. Is m(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -5*v - 5. Calculate the least common multiple of 12 and b(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 113, 275, 437?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 73158120 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 2\/5  (b) 0.6877  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*q**4 - 5*q**2*w + q*w - 3*q + 15*w wrt q.\nAnswer: -24*q**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1074833807.\nAnswer: 1074833807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2 + 104*n + 1352.\nAnswer: 2*(n + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of q**7\/42 + q**6\/12 - q**5\/4 - 5*q**4\/6 + 10*q**3\/3 + 2*q**2 + 12*q. Let h(o) be the first derivative of y(o). Factor h(r).\nAnswer: 5*(r - 1)**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5094*r + 241772 = -119902 for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r**2 - 101*r - 131. Calculate i(-49).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 12*j = -4*h + 48915, 16292 = j - 3*h. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 180*w + 74*w + 131*w + 108*w + 0 + 0 + w + (w + 0*w - 3*w)*(4 - 4 + 7).\nAnswer: 480*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbbe when four letters picked without replacement from {b: 16, e: 4}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of 19*u - 2 + 17\/2*u**2 - 1\/20*u**5 - 13\/6*u**3 + 13\/12*u**4. Determine m(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 18 = -5*m + 3*p, -4*m - 36 = -8*m + 90*p for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 + 21*f**2 - 24*f - 53. Let t be l(-22). Let n = t + 17. Solve -4*h + n*h + 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 3*q**2 + 1. Let w be j(-1). Suppose -4*y = 2*l - 3*y - 2, -w*l - 4*y = -8. Let m(b) = -4*b + 32. Let c be m(7). Solve l = c*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 - ((-457786)\/40 - -3). Let a = 11440 - l. Calculate the common denominator of a and 85\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -150118*f*g**2 + 2*f*g*z + 2*f*z + 2*g**2 + 203828*g*z with respect to f.\nAnswer: -150118*g**2 + 2*g*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 194767818 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2546052708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/13*c**2 - 2\/13 + 4\/13*c.\nAnswer: -2*(c - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 6:48 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*i - 60*i - 113 = -5*h, i - 5*h = -101 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -31260 * -28.832\nAnswer: 901288.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-1*(-38)\/(-456).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-4\/3)*q)\/q**(1\/3))\/(q**(1\/3))**23 assuming q is positive.\nAnswer: q**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t**4 + t**2 + 2*t + 8*t**4 - 7*t**4 in the form g + n*t**3 + v*t**2 + q*t**4 + m*t and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0048006 rounded to five dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -1589, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + n - 6 = u, 0 = u - 4*n - 2. Let q(f) = 2*f**2 + 2*f - 1. Let c be q(-2). Solve -3*b - c*d = u*d + 21, 19 = -2*b - 5*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (3 - ((6 - 2) + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/3010 and (20 + (-2951)\/(-26))*2\/(-12) + 6?\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 163*u + 163*u + 191*u - 492*u - 3.\nAnswer: 25*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1003820 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 1 - 5 = 0. Does 3 divide 15\/((-1)\/(k + 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 - 10. Suppose 0 = -5*i + 59 - h. What is the remainder when (-1 - -7)\/(10\/45) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5887706*m + 752 = -5887753*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*o + 8 = 2*f - 55*o + 1, -5*f = -o - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 492043930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 51.88 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 10\/35 - (-540)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5640284099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 82\/10 - 23\/115. Let m be 12\/16*4 - -1. Solve 98 - m*x**3 - 98 + 12*x - y*x**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -4\/9, 17, 0.31, -0.166?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 5*z + 6. Suppose 5*g - 93 = z*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26 times 3.1\nAnswer: 80.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 4376  (c) 18  (d) -4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -12, -31, -70, -135, -232, -367?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68, -82, -118, -188, -304, -478?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3668 * -36.\nAnswer: -13.2048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 3*a + 15, 0*a - 20 = 4*a. Let m = 9 - y. Are -1\/8 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand p + 3*p - 3*p + (-2*p + 0*p - p)*(1 + 2 + 1).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2025859.04 and -4?\nAnswer: 2025863.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 56818966177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 30021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*a + 276 = 48*a. Let w = -52 + 75. What is the highest common factor of a and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2185\/15 + -13)*(-2280)\/(-8). Round t to the nearest 100.\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29bb3 (base 12) to base 10\nAnswer: 58743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 275 and 55?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1019 - -1600. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3927524322?\nAnswer: 2, 3, 37, 67, 264053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -219 - 3.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40439*h**2 - 11626*h**2 - 15841*h**2.\nAnswer: -67906*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/81481362 and 151\/6.\nAnswer: 81481362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1871, -15211, -51423, -121943, -238207, -411651, -653711, -975823?\nAnswer: -1389423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*z - y - 1, -y + 2 = z. Suppose c - 13 = -2*s, 6*s - 27 = 3*s - z*c. Put -27, -5, s in descending order.\nAnswer: s, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0046 + 0.0536. Let y = p + 17.751. What is y rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 65187 - 144528. Round d to the nearest 1000.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = 4*n + 7 - 59, 52*p + 144 = 15*n + 50*p for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 7*r**2 + 20*r - 16. What is the lowest common multiple of 4 and f(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73, 21, -31?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -469 - -469.4. Let u be (-6)\/56 + (-12)\/84. Which is the closest to 3\/7?  (a) -2\/7  (b) -4  (c) u  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -28*j - 17*j + 644 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1328533421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-20))\/(8\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of 5*r**7 + 0*r + 0*r**2 + 0*r**6 - 11\/3*r**3 + 0*r**5 + 59 + 0*r**4. Find the third derivative of j(c) wrt c.\nAnswer: 4200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {o: 1, z: 1, s: 3, c: 2, k: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 300, 5.\nAnswer: 5, 7, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -11*r + 32. Let t(k) = 4*k - 11. Suppose 13 - 64 = 3*p. Give p*t(c) - 6*f(c).\nAnswer: -2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/435 and 47\/174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 13 = o, 17 = -3*o - 4*j - 22. Sort -170, -2, o in descending order.\nAnswer: -2, o, -170","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36582 + 30511 = -2545*u - 2616*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2\/5 - 22*u\/5 + 1129444\/5.\nAnswer: -2*(u - 746)*(u + 757)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -45 and -31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2499.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 26\/19, 1\/5, -1\/140 in decreasing order.\nAnswer: 26\/19, 1\/5, -1\/140, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -20*t**3 - 5*t**2 - 6*t. Let o(s) = 19*s**3 + 6*s**2 + 7*s. Suppose 0 = 3*h + h - 103 + 79. Give h*k(w) + 5*o(w).\nAnswer: -25*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 48 - 46. Suppose -z*g = 4*r - 4 - 8, 0 = -2*r - 4*g. Solve -2*c + r*c = 5*b + 1, 0 = 5*c + 5*b - 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 2*q + 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 2*d - 17 = u, d = -5*u + 19. Factor 6*c**2 + 9*c - 7*c**u + 22*c**3 - 18*c**3.\nAnswer: -3*c*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of -v**6\/40 - v**5\/12 - v**3\/6 + 12*v**2. Let l(b) = 2*b**3 + 3*b**2. Determine 5*l(m) + 3*q(m).\nAnswer: m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 + 202914692.\nAnswer: 202914691.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/8 + 19\/(-4) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12681*i**3*n**5 + 96*i**3*n - 69*i**2*n + 4*i*n**5 + 2 wrt n.\nAnswer: 253620*i**3*n**3 + 80*i*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b (base 13) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 12. Let j(y) = -2*y - 4. Let n be j(i). Suppose 0 = n*q + 2*d - 50, 4*q + 5*d - 44 + 3 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -46 + 46.2. Is 10 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3.289597 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2676\/13 - -206. Suppose -30 = 5*g - 3*p + 1, 0 = 5*g + p + 23. What is the closest to 0.1 in 2\/5, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -23\/50  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1748 - -1385. Let g be (1 + -622)*(-4 + 3). Let t = f + g. Does 33 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 8:18 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 90759.14l?\nAnswer: 90759140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8d6 (base 16) to base 6.\nAnswer: 14250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -4*q + 4. Let l(b) = b - 1. Let z be (2 - 0) + (-1 - 0 - -6). Suppose z*j = 29 + 181. Let a be (1 - -1) + (-6)\/(j\/(-25)). Give a*l(m) + 2*o(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 >= -3396\/667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*a + 4*a + 5*a**3)*(-1 - 2 + 2)*(0*a - 2*a + a) + 2*a**4 - 3*a**4 - 3*a**4 to the form h*a**3 + d*a**4 + u*a**2 + m*a + l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-2))\/(2180\/541730*(-14)\/(-4))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.29  (b) -58  (c) 293\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*v - 0*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6377430 rounded to the nearest 10000?\nAnswer: 6380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -3, -1\/5, 55?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1210 - -22331200?\nAnswer: 22323330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 515 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -35317  (b) 10  (c) 0.5  (d) -0.01  (e) -0.04  (f) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29934495?\nAnswer: 3, 5, 221737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.004 + -12.004. Sort h, 63, 6\/5.\nAnswer: h, 6\/5, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 4. Let t(n) = 6*n**2 + 13*n + 13. Let m(u) = -3*u**2 - 6*u - 6. Calculate d*t(x) + 13*m(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219 is divided by ((-84)\/20 + 3)*(4 - (-1252)\/(-8)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/57?  (a) -8  (b) 5  (c) -0.4  (d) -2\/19  (e) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.059, -7, 0.299 in increasing order.\nAnswer: -7, 0.059, 0.299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -227*d - 5837. Determine g(-26).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -7*h + 3*p + 55, 68 = 5*h - 4*p. Suppose -h + 122 = 2*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -122250 and -2918 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -7*r + 7. Let g be n(-2). Suppose -g*v + 204 = -17*v. Suppose -3*b + 2*k = -k - 285, -5*b = 4*k - 502. What is the remainder when b is divided by v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*v**2 - 9*v**2 + 5*v - v to the form u + w*v + x*v**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 145) + 0 + (-17801 - -17804).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11795 is divided by 1730.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 44779981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2*l - 3*l - l + 6*l + (-1 - 1 + 0)*(-4*l + l + 5*l))*(0*l + 0*l + 2*l) - 5*l**2 + 2*l**2 + 2*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 211313 (base 4) in base 10?\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 13  (b) -5  (c) 5  (d) 1.3  (e) -2.14  (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, u: 5, e: 2}. Give prob of picking 2 u and 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -584 - -1628. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8926007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.044 minus 3.78?\nAnswer: -3.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 26 divided by -422449\nAnswer: -26\/422449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 17 + 5 = 0. Suppose -173 = -p*b + d, 0 = -4*b + b - 2*d + 176. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/1*(-41 + (-15714)\/(-378)). Factor -n*q**4 + 0 - 4\/7*q + 4\/7*q**2 + 4\/7*q**3.\nAnswer: -4*q*(q - 1)**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2 + 464334*j + 14391471.\nAnswer: 3*(j + 31)*(j + 154747)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00852686546 rounded to six decimal places?\nAnswer: 0.008527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of -x**5\/70 - 67*x**4\/42 - 488*x**3\/21 - 944*x**2\/7 + 3*x + 495. Factor n(q).\nAnswer: -2*(q + 4)**2*(q + 59)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 - -8. Let i = 0.6662 - -0.1338. Which is the second biggest value?  (a) s  (b) -2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4*w = 30889, 8*w = -3*c + 5*w + 92694. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*i + 152 - 92 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 2952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12*i - 12*i + 2*i**4)*(1 + 5 - 3) + 2*i**4 + i**4 - i**4 to the form h*i**4 + u + t*i**2 + z*i**3 + o*i and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-15))\/((-198)\/1320)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 4 = 2*a, 0 = -10*a + 8*a + 5*w + 20. Suppose 2*k = a*d - 0*d - 4067, k = 2*d - 1627. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 4*g**3 - 178*g**2 + 2024*g - 968 = 0.\nAnswer: 1\/2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 897*p**2 - 1784*p**2 + 883*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23 + 3361?\nAnswer: 3335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = w - 5*n, -w - 29 = 4*n - 69. Let f = 49 + w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -r - 1. Suppose 10*v = -4*v - 196. Calculate the smallest common multiple of -1 + 2 + 1 + (-13 - v) and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -56 + 57. Let m be 176\/220 - (-2)\/(-15). What is the fourth biggest value in 0.14, m, n, 3\/4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -167*j**2*l + 2*j**2 - 2*j*l - 616*j - 1793806*l wrt j.\nAnswer: -334*j*l + 4*j - 2*l - 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2394544  (b) -4  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*b, 3*b = v + 2*v - 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7936 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33 - 9) + 27 - 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 378384 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*m**4 - 22*m**4 - 21*m**4)*(-22 + 2 + 0) to the form c*m**4 + q + a*m**3 + g*m**2 + d*m and give c.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/21 in 37, 26\/7, 5, -2\/7, 3, -1.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16650 and 239427.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -183264 divided by 4?\nAnswer: -45816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 68100139 to the power of 1\/2, to the nearest integer?\nAnswer: 8252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161*j**3 + 281*j**2 - 475*j**2 + 194*j**2.\nAnswer: -161*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -50490, -6, -2 in decreasing order.\nAnswer: 5, -2, -6, -50490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -922320 divided by 2160\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 + 9. Let n = z - -5. Let h be (-3)\/(-2)*(2 + n). Let j(v) = -v**2 - 4*v. What is j(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*h = -42*h + 4. Solve -8 = h*q - 0*m + 5*m, -4 = -2*q + m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1630*h + 431*h - 22*h**2 + 1199*h.\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, 48, 202, 500, 990, 1720?\nAnswer: 2738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1.382+1746\nAnswer: 1747.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 20 = 5*c, -89 + 69 = -3*c + 4*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 1\/7, -3\/5, -3\/7, 2\/19?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**2. Let s be t(-1). Let w be 22\/5 + 10\/(-25). Suppose 12 = w*o - 7*o. Sort s, o, -5 in decreasing order.\nAnswer: s, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -56*(-112 + (4 - (-5 + 4))). Suppose z = -h + r, 10*z - 4*h = 12*z - 11994. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113045 + 202281 = 121*h. Which is greater: 2605 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 185029, 185004, 184981, 184960, 184941, 184924?\nAnswer: 184909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, x: 19}. What is prob of sequence rx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 126 and 64?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**5 + 20*g**4 - 12*g**3 - 52*g**2 + 40*g.\nAnswer: 4*g*(g - 1)**2*(g + 2)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*x = -2*t + 15*x + 18, 2*x = -3*t + 22. Solve t*y + 1 = -19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + z = -38, 4 = d - 5*z + 6. Let u be (0\/2)\/((-8)\/d). Solve -j + 1 = 2*o, -j + 3*j - 3*o + 19 = u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5422 = -10*y + 5412. Which is the closest to y?  (a) -1.6  (b) 5  (c) -3  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 + 2*b - 5 - 2*b**2 + 6*b = 0 for b.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21 + -17. Suppose d*n - 1 = 11. Calculate the greatest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.8 + 3.03.\nAnswer: 2.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*l - 16*l - 17*l + 62*l - 3 - 16*l.\nAnswer: 6*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04299, -5, 4 in ascending order.\nAnswer: -5, -0.04299, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-100)*10)\/(4\/(36\/(-1)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p + 1. Let q(j) be the first derivative of -j**2\/2 - 8*j - 2. Let m be q(-8). Suppose m = -u - 4*u - 30. Determine x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*h + 25*h - 33*h**3 - 2*h**2 - 101*h + 24*h + 26*h + 5*h**3.\nAnswer: -28*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 + 173 - 173.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-22))**12 assuming x is positive.\nAnswer: x**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.13 + -0.37. Let d = -2.3 + 0.3. Let p = d + 1.8. What is the second biggest value in -0.1, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 3*y**3 - 18*y**2 + y + 11. Let h(b) = -b**3 + b**2 - 1. Let a(u) = -f(u) - 4*h(u). Let g be a(-14). Solve -4*s = -g*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, w: 2, y: 1, i: 1, s: 2}. Give prob of sequence ww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*((-4)\/12)\/(2\/18). Solve -4*x - 4*l + 2*l = -4, z*x - 8 = l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -568*l**2. Let b(n) = n + 2715. Calculate b(p(s)).\nAnswer: -568*s**2 + 2715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/((sqrt(180) + sqrt(5))*-2).\nAnswer: -sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 357841 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2*l - 3*j = 8, 0 = l - 2*j - 6. Suppose -5*b - l*p - 18 = -0*b, -2*p - 8 = 0. Does 11 divide (b + 4\/6)*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 230 + -230. What is the second smallest value in 0.7, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 296786338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/k**(2\/7)))**(-49)\/(k**(-8)\/(k**(3\/5)\/k)) assuming k is positive.\nAnswer: k**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*r - 99*r + 8 = -4*w, -3*w = -5*r + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 66, -3, 4, -4 in decreasing order.\nAnswer: 66, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-1*sqrt(19))**2 - -6*(sqrt(19) - 3*sqrt(19) - sqrt(19)).\nAnswer: -18*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 111909, 0, -22 in decreasing order.\nAnswer: 111909, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 - 4*a**2 + 5*a**2)*(-4 - a**3 + 4) + 2*a**5 + a - a - 3*a - a**5 + 3*a + 90*a**4 + 113*a**5 - 90*a**4.\nAnswer: 115*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - f + 38 = 0, -h + 17 = -3*f - 1. Let t = h + -6. Calculate the smallest common multiple of t and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -742156*j**3 - 740283*j**3 + 1482441*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - -11. What is the remainder when f is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-21)*z\/(z\/z**(-5)))\/(z**(-11))**(-2\/85) assuming z is positive.\nAnswer: z**(-2232\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*q**5 + 2*q**5 + 2*q**5 + (0*q**3 + 0*q**3 - 5*q**3)*(-683*q**2 - 2017*q + 337*q**2 + 347*q**2).\nAnswer: -6*q**5 + 10085*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 1564 - 1570 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 4\/367?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from nnnnnqqqqqqqqnqqqqq.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -8  (b) -2  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 3*i**2 + 6*i - 1. Let r(p) = -2*p**2 - p - 1. Let w(n) = -d(n) - 2*r(n). Calculate w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22522335 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -4. Let j = -215 + 327. Let z be -2 - 1\/(j\/(-212)). Which is smaller: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 59 - 133449\nAnswer: -133390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*a - 7 = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -4. Let n = x - 8. Let m(z) = -z**2 + 2. Let r(h) = h - 1. Let k(v) = m(v) - 3*r(v). What is k(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rp when two letters picked without replacement from hrwprlw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 65 and 1630?\nAnswer: 21190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-72)\/(-48))\/(6\/19808)?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 3*m + 3579, -6*n + 4*n + 4*m = -1782. Is 39 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 271, -0.5, 2\/17, -2, 1.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 11:15 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/27 and -37\/297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/((12\/(-126306))\/(-2)). Let x be 22\/((-3)\/160773*56). Let d = t - x. Calculate the common denominator of d and 97\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - 2*p - 2*p**2)*(-p - 3*p + 0*p) + (-5*p**2 - 40 + 40)*(-2 + 2 + 3*p) - 2*p**3 - 2*p**3 + 6*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 5130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 - (-14 + -52) - 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (10*-1)\/((-16)\/(-2))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u**5\/5 - 144*u**4\/5 + 2442*u**3\/5 + 5476*u**2\/5 = 0 for u.\nAnswer: -2, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + 3 - (3 - 2). Let k = y + -9. Let n = k + 8. Which is greater: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 307, 609, 909, 1207?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*o**4 - 192*o**3 + 0*o**2 + 10 + 194*o**3 - 2*o**2 as q*o**4 + m*o**2 + h*o + n + l*o**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 15 = -v + 6*v, 4*d - 12 = -4*v. Suppose -d*a + 193 = 2*i, -i + 76 = -4*a + 220. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -2 - (5 + -1 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6210 and 1755.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 4, 32\/9, 2\/7, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xnbbxpnxxnxzncbcxc. Give prob of picking 1 c and 1 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (12\/10)\/(12\/40). Let a(p) = -p**3 + h*p**3 + 3*p**3 + 2 - 3*p - 5*p**3 - 2*p**2. Calculate a(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from atattaaaaaatt?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*x - 3*x = c + 21, 4*c + 28 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of k**4*x**3 + 288240*k**4 + k*x**3 - 433*k*x**2 - 5*k - 2*x**2 + 2 wrt k.\nAnswer: 12*k**2*x**3 + 3458880*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 91*f**2 + 3*f - 11. Let b(d) = -1000*d**2 - 32*d + 120. What is 3*b(p) + 32*g(p)?\nAnswer: -88*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 6 = 2*f, 871*i = f + 875*i + 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 898734 + 23784604\nAnswer: 24683338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.46 + 0.23. Let q = g - 6.2. Round q to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -303242443 + -121?\nAnswer: -303243004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 10*s - 514 + 514. Let t = -1508 + 2127. Let o(v) = v - 619 + t. What is o(u(h))?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 4*l + 2*d, 13 = l - 4*d + 3*d. Suppose l*a - 14*a + 30 = 0. Calculate the remainder when 41 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -109 - -3076 - (-3*1 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1751, -4, 2, -2, 30 in ascending order.\nAnswer: -1751, -4, -2, 0, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 14304 (base 6) to base 8\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(u - 2*u + 2*u)*(5*u**3 - 7*u**3 + 3*u**3 + 6*u).\nAnswer: u**4 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132132 is divided by 273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of x**4\/4 + 2*x**3 - 7*x**2\/2 + 5*x - 64. Let j be u(-7). Solve 5*g = -3*w - 15, -j*g + 1 = w + 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24750 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {l: 4, t: 3, i: 7, m: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7\/10, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -5. Differentiate 9 - 8 + 1 + x*s**2 wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43 + 61. Let m = h - 17. Is -2\/7 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2*l - b - 20 = 0, -5*l - 5*b = 0. Suppose 0 = -c - 4*i + 1 + 21, 0 = c - i - 7. Solve 3*k + c = l*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j - 4. Let b be (20\/25)\/(2\/5). Let r be i(b). Sort -2\/23, 0.1, r in ascending order.\nAnswer: r, -2\/23, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1229\/4 or 306?\nAnswer: 1229\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 3*a**2 + 2*a**2 + 2*a**2.\nAnswer: a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*d + 28*d = 0. Suppose -11*h + 12*h = d. Solve -4*x - 2*p + 2 = h, -2*p = -x - 2 - 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 62696 and 1768?\nAnswer: 815048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 11041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101001000100 + 0?\nAnswer: 101001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17\/68)\/(-5 + -8 + 7928\/608).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 565142435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7152 + 588.\nAnswer: 7740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*h**3*k**3*s**2 - h**2*k**2*s - h*k**3*s - 44*k**2*s**2 wrt h?\nAnswer: 180*k**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3620)\/51585*399\/(-462).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-5*4*2*sqrt(114))\/(((sqrt(216) - -2*sqrt(216) - sqrt(216)) + sqrt(216))*6).\nAnswer: -50*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -150 - -166 - (-2 - -26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -50 - -113 - 5*1 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.03, 4, -31, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.7 and -12313.\nAnswer: -12311.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 17*c**2 - 8303*c - 248. Calculate o(-83).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -154 = 26*c + 4*t, 233*c + 4*t - 6 = 237*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -2, 123, -2641.\nAnswer: -2641, -2, 1, 5, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/5)\/(216\/270).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -863, -3243, -7233, -12851, -20115, -29043, -39653?\n\"Answer: -3*m**3 - 787*m**2 + 2*m - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 861.47 rounded to the nearest ten?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1292 and 155361062.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 2*a = 5*d + 54, -8*d + 26834*a + 39 = 26839*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 4 = 3*o, 11*o = 8*o + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-2*sqrt(25)*-3)\/(sqrt(5)*1*-3 + 1*sqrt(5)*-2).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 854594 + 854594 + 8*b**3 - 1709188 + 3*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -115 + 154. Find the third derivative of -23*z + 3*z**5 + p*z**2 + 23*z - 8*z**2 - 21*z**3 wrt z.\nAnswer: 180*z**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -39*q**3 - 3*q**2 + 8*q. Let o(i) = 13*i**3 + i**2 - 3*i. Suppose -145*u = 30*u - 1400. Determine u*o(c) + 3*b(c).\nAnswer: -13*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - -299?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.618281 take away 0.5?\nAnswer: -1.118281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -7. Factor b*v - 2*v - v**3 - v**2 + 12 - 12.\nAnswer: -v*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 802333 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 5:15 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88849.8ml to litres.\nAnswer: 88.8498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 33*i. List the prime factors of g(1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h + 10, -5*u - 19 + 4 = 5*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(((-1)\/7)\/((-49)\/343)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -819 + 875. Suppose v*t = 3332 + 4508. What is the highest common divisor of 105 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 18 - 14. Sort f, 0, -3 in ascending order.\nAnswer: -3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -255, -264, -287, -330, -399?\n\"Answer: -c**3 - c**2 + c - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2*m - 6 = -3*t, 3*m + 19 = 2*t. Let r = t + 10. Suppose -r*d = -14*d - 166. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, g: 1, a: 1}. What is prob of sequence sa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14740637 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 45995.88l?\nAnswer: 45995880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6461 - -6466. Which is the nearest to 11?  (a) h  (b) 6\/11  (c) -2  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15779119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 7382.999cm?\nAnswer: 73.82999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6343464 a multiple of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24262 - 436597\/18. What is the common denominator of 149\/12 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/15 - (-4)\/42. What is the nearest to 2\/9 in a, 4, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-63*(-252)\/(-373086)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -74, -279, -614, -1073, -1650, -2339, -3134?\n\"Answer: i**3 - 71*i**2 + i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -4*y + 24. Give x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 57*s + 57. Let w be (-5 - -7) + 1 + 6. List the prime factors of k(w).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33\/6*(-2 - 96\/(-44))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87920*x = 87952*x + 2*b - 54, 5*b = -3*x - 0 - 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of c**4\/24 - 4*c**3\/3 + 6*c**2. Let u be l(11). Let i be (-19259997)\/9 + (-1)\/u. Round i to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*((-12894)\/12 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -2*y**2 - 520*y + 50250 = 0.\nAnswer: -335, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7247061 and 3339?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of w**3\/6 - 4*w**2 - 4*w. Let p be b(11). Solve l = -p + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -741*y + 7733 = -11078 + 1768 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -390 - -396. Let w = 11 - -10. Suppose -5 = -2*g - 5*p - 22, g = -5*p - w. What is the remainder when m is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3*r = 2*t - 7, -4*t - 1 = 5*r. Let u be 0 + r*(-3 + 1). Suppose -90 = -0*s - u*s. What is the greatest common divisor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5493 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 6*c + 5. Let d be g(6). Suppose 4*v + d = -k + 51, 2*k - 4*v = 92. Suppose 0 = i + 5, -5*l + 2*l + 2*i + k = 0. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 10*k - 153*k**3 + 264*k**2 - 39*k - 3*k**5 + 36*k**4 - 115*k = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = n - 3 - 2, 5*j = -n + 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3006 and 1268198.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36 (base 9) to base 15.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185 = -2*m + 191. Suppose -4*d + 380 + m = 0. Let j = d + -98. 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: How many millilitres are there in 186.5726l?\nAnswer: 186572.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 403175 = 8*b + 159575. Suppose 0 = 41*c + c - b. Is c a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(70\/(-12))*180\/(-27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -41*x**2 - 2*x + 1. Let p be r(1). Let u = 44 + p. Let b = 42 + -39. Solve -u*i + 7*i = -4*s + 20, 15 = b*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.81852 weeks in nanoseconds?\nAnswer: 495040896000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + 15\/(-3) + 1. Calculate the smallest common multiple of 16 and (32\/s)\/((-28)\/70).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.11502 + 0.13692. What is the second biggest value in 3\/4, 1, s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**2*h)\/h*h**(-3\/5)\/h)**16\/((((h\/(h*h*h\/(h*h*h\/((h**1*h)\/h)*h)*h))\/h)\/h)**5\/(h**0)**34) assuming h is positive.\nAnswer: h**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*q + 1280 = 7*q - 21*q + 3574 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-23)*d\/d**12)**34 assuming d is positive.\nAnswer: d**(-1156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(176\/4))\/((-13)\/26).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -621, -2, 5, -3, 3, 8 in decreasing order.\nAnswer: 8, 5, 3, -1, -2, -3, -621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 1 - 3)*(0 + 2 + 2)*(3822*u - 1184*u + 1326520 - 1326520) + 0*u + 2*u - u + (-3 + 1 + 1)*(1 - 1 - 2*u) to w*u + m and give w.\nAnswer: 21107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 1, 6625, 59.\nAnswer: -5, -3, 1, 59, 6625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/(-4))\/((-171)\/(-12)). What is the biggest value in -2\/5, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 17136228.73 from 0.1.\nAnswer: -17136228.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*w - 3*j, 2*j = -5*w + 5*j. Let x(t) = -t**3 - 4*t**2 - 2*t. Let v be x(w). Sort v, -0.5, -1 in increasing order.\nAnswer: v, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -27*k**5 + 11*k**5 + 45*k**5 + (2 - k**2 - 2)*(-15*k + 7*k**3 + 15*k).\nAnswer: 22*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -189, -373, -555, -735, -913, -1089?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12700 + -12750.97. Let o = -51 - y. Which is the closest to -0.1?  (a) 1  (b) o  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1023 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 29 - 26. Solve 0 = -l + 16 - a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2742*m**3 - 2*m**2 + 82*m + 3. Let p(w) = 2741*w**3 + w**2 - 82*w - 2. Let b(z) = -2*j(z) - 3*p(z). Find the third derivative of b(f) wrt f.\nAnswer: -16434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 870534313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -a + 33. Let n(t) = t**3 + 10*t**2 - 12*t - 2. What is the remainder when 35 is divided by n(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 0 + 3 - n**3 + 2*n**3. Let h(d) = -4*d**2. Determine b(h(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 4*n + 28. Let d(l) = 155*l - 7585. Let v be d(49). What is p(v)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 - 5*f**2 + 5*f + 4. Suppose -2 - 4 = h. What is the tens digit of z(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 70 + -68. Suppose 0 - 2 = 3*v - p*g, 3*v + 4*g = 4. Let m = 14 - 10. Solve 4*z - 2*n = n + 4, -5*z + m*n + 5 = v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 16 = -5*g, -g = 2*a - 305. Suppose 3*d - 6*b = -2*b + a, 149 = 3*d - 5*b. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of (-20)\/(2 - 0)*(-472)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140 (base 14) in base 15?\nAnswer: -11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 3*f**2 + 3. Let n(m) = -1. Suppose -6*c + 53 = 239. Let i = -33 - c. Let u(z) = -2*z**2 - 4*z - 1. Let q be u(i). Determine q*v(b) - 3*n(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**13*c)\/c**2)\/(c**14*c\/(c\/(c\/c**(-2\/5)))))**(-37) assuming c is positive.\nAnswer: c**(629\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h**3 - 95*h**2 - 29*h - 3685. Calculate v(-48).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (4 - (12 - 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 819 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -32932000*(-10 + (-350)\/(-28)). What is o rounded to the nearest 1000000?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11745*f**3 - 23514*f**3 + 11770*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of 1\/2*o**2 + 0*o - 2 + 0*o**3 + 1\/4*o**4. What is the second derivative of c(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1424888*d*g**2 - 5*g**2 + 4516*g + 4 wrt d?\nAnswer: 1424888*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 311 - -4?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 + 11*d**2 + 11*d + 6. Let l be i(-10). Calculate the smallest common multiple of 9 and (3 + l\/4)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003 minus 84779?\nAnswer: -84778.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/6?  (a) 0.5  (b) -376.1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-32)\/(288\/((-90)\/(-10))))\/(2\/(-62)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14)\/(-49) - (5\/(-7) + 1). Let v(r) = -4*r. Let g be v(p). Suppose g = -14*n + 12 + 30. Solve 0*h - 3*h = 3*j - n, 4*h = -3*j + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 50 + 85 = 0. Is 27 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uluuuuuluuluuu. What is prob of picking 2 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(23 + 1))\/(3\/(-6)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -580460 bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 4*g**2 + 5*g + 3. Let z be t(-1). Suppose -5*s = 5*y - 298 + 13, -y = -z*s - 57. What is the remainder when y is divided by 1 + 5\/(15\/27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*n**4 + 2*n**4 + 5*n**4 + (-n + n**3 + n)*(-n - 1 + 1) - 3*n**4 + 5*n**4 - 4*n**4 + 2*n**4 - 3*n**4 + 0*n**4.\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0241 + 0.0139. Let r = -0.00853 - i. Round r to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*v - 85*v - 115*v = -1258 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f - 3*f + 3*x + 95 = 9*f + 74*x, 4*x = 4 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 9 = 3*j, -3*j - 12 = -7*j. Suppose m = r - 4*r + 12. Put r, -1\/5, -3 in ascending order.\nAnswer: -3, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 365 = 150. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7743 + 18050 = 536*t + 4366 - 23539 for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 716223 - 120.2\nAnswer: 716102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-42)\/27)\/(-7) + 466\/(-84). Let k = m - -64\/9. Calculate the common denominator of (2\/36)\/(4\/642) and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-10)*2\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 53, 6, -71, -178, -315, -482?\n\"Answer: -15*q**2 - 2*q + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28 + 28. Put -0.2, l, -2, 1 in decreasing order.\nAnswer: 1, l, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34350 (base 9) to base 16.\nAnswer: 5967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 139910725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((39196\/492)\/(-239))\/(2\/(-174))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -14. Suppose 3*t + 0*t = 0. Let h be ((-6)\/9)\/(12\/(-18)). Which is the closest to t?  (a) p  (b) h  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = -0*x + 2*a + 23, 0 = 4*x + 4*a - 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from obobcocttbobb. Give prob of sequence cct.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233416?\nAnswer: 2, 163, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 + 43. Let d = 5 + 2. What is the remainder when l is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 + 18)*(-3*y + 2*y**2 + 3*y) - 3*y**2 + 2 - 2 + (-5 + 5 - y)*(-3*y + 2*y + 0*y) as a*y + z*y**2 + q and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 412 + -506 + (34 - -3).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*q + 8 = 68. Let u be 2\/3*375 - (2 + q). What is the greatest common factor of u and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -4, 1, 11, -1\/4 in increasing order.\nAnswer: -4, -0.4, -1\/4, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8*25\/(-260))\/((-6)\/(-780))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.06 + -16.06. Let f = h - -15.6. Let x be 1 - (-15)\/36*-3. What is the smallest value in f, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 + n. Let a(q) be the third derivative of -1\/60*q**5 + 0*q - 6*q**2 - 1\/12*q**4 + 0 + 0*q**3. Calculate a(r) + 2*s(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*m + 97*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43553.\nAnswer: 97, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 49, -3\/8, -63540?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7956 and 240.\nAnswer: 159120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 649 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -267.3 - -267.4. Suppose 3*w - 7*w - 20 = 0. Let j = -1.4 - 2.6. Which is the biggest value?  (a) w  (b) s  (c) j  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**2\/2 - 90*l + 1344.\nAnswer: 3*(l - 32)*(l - 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1945781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1833a0 - -461?\nAnswer: 183851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 47, 68, 87, 104?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9\/802 + 3181\/2406. Suppose 0 = 3*d - 6*d. Solve -h*i**2 + 0*i**3 + d*i + 2\/3 + 2\/3*i**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1881541559 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 8) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + (-9)\/3*3. Let q = r - -30. Let u = q + -15. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 508*-1863.\nAnswer: -946404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 5*p + 196, 2*w + 5*p = -0*w - 377. Is w*(-1 - (0 - 0)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9954 and 63886431?\nAnswer: 383318586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -104 + 44 + (16 - -17)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 14881529 and 5.099.\nAnswer: 14881534.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -53192726*w - 164972372 with respect to w.\nAnswer: -53192726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 16) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1960.518571 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 * 4511\nAnswer: 3608.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30 + -6. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 19*s + 14*s - 37*s + 3. What is the units digit of l(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 55 - 19)*(1 - 6 + 0 - 1 + 3 - 1 + (0 + 0 + 1)*(0 - 1 + 0))*((-s + 3*s + 0*s)*(-1 - 5 + 4) - 3*s + 4*s + s).\nAnswer: -860*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 590, 2388, 5386, 9584, 14982, 21580, 29378?\nAnswer: 38376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 + 21*f**2 - 5*f - 35. Let n be j(-21). Suppose 0 = p + 13*p - n. Solve -5*b = -3*t + 5, -2*t - 3*b = -p*t + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -46 - -73.8. Let n = 26.8 - l. Which is the second biggest value?  (a) 3\/5  (b) n  (c) -2\/13  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.5 + -6. Let i = m - -1. Let j = -1.49999945 + i. What is j rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (2 - (-2 - (22 - 9))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 23*i - 23. Let r be x(1). Suppose r = -4*g + 636 + 724. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.56 + -0.16. Let j = k + -4. Which is smaller: -3\/8 or j?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - -1101001010000100010?\nAnswer: 1101001010000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, e: 17}. What is prob of picking 2 e?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 2953 - 670 = 0. Let z(v) = -26*v + 27*v - v**2 + 3*v**2 - v**2 - r*v**3. Is z(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -20\/3  (b) -5  (c) -73  (d) 1\/9  (e) -3  (f) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)*1*4)\/(sqrt(1440)*-2).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17752 or 0.1073?\nAnswer: 17752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**5 + 2*s**5 - s**5 + (-5 + 0 + 3)*(-3*s**5 + 3*s**5 - 2*s**5) + 6 + 3*s**5 + 322*s - 322*s.\nAnswer: 9*s**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i**2 - i - 3. Give h(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 43951915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t**2 + 17*t - 18. Let s be j(7). Let y(b) = 502 + s*b - 501 + b - 2*b. Calculate y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 64*h - 36*h**3 - 12*h**3 - 11*h - 66*h**3 wrt h?\nAnswer: -684*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 108 and -368?\nAnswer: -39744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19489*h + 19480*h + 160380. Is h a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30220 (base 4) to base 6.\nAnswer: -3424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1932794 bigger than -1932565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 119 = -107. Let c(r) be the first derivative of -r - z + 3\/2*r**2. What is the first derivative of c(h) wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 50  (b) 5  (c) -25\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -2\/13, -11, 2\/139, -4, 2\/21, 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -97 - -62. Let r be 4\/10 - 91\/i. Suppose -d = 1, r*t + d + 19 = 6*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.11?  (a) 2\/13  (b) 2\/3  (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-693)\/44)\/(((-9328)\/(-64))\/(-11) + 13).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2 = 3. Let u(l) = 3*l - 1. Let r be u(k). Factor -2*y**3 + r*y**2 - 2 + 0 + 2*y + 0*y**2.\nAnswer: -2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.03224889 to 3 decimal places.\nAnswer: -1.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of 3*f**2 + 11*f - 2. Does 16 divide v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -2817*m**2 - 2694*m + 4004. Differentiate l(w) wrt w.\nAnswer: -5634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2647 - -2745. Let z be (6\/(-15))\/(2\/(-3030)). What is the common denominator of 7\/32 and ((m\/(-21))\/(-7))\/((-88)\/z)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -393290.5 to the nearest one thousand.\nAnswer: -393000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 209 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 3*u + 84, -27 = -4*c - 3*u + 85. What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -59, -150 in descending order.\nAnswer: -5, -59, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19 + 2106*a**3 + 1 - 4*a**2 - 2*a**2 - 2105*a**3 + 2*a to k*a**3 + l*a + x + b*a**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2\/4 - 7305985*k\/4 + 6088325\/2.\nAnswer: -(k + 2435330)*(3*k - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.62 or -20\/7?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/1 + -5 + 4. Suppose 3 = -5*j + 28, s*j - 32 = -2*t. Suppose -4*x - 2 = -t. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 11*d. Let r(x) = 6*x + 24. Let y(n) = 2*n + 10. Let a(v) = 5*r(v) - 12*y(v). Determine w(a(b)).\nAnswer: 66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -12 * 18\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 875728*g*j*m**2 - 5*g*j*m + g*j + 138*g*m**2 + 89*g + 45*j*m - 32*j - 2 wrt m.\nAnswer: 1751456*g*j + 276*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-12)\/7 - 22\/28.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 4*t - 3*t - 14, -2*y - 16 = -4*t. Let d(s) = -s + 8. Let k be d(-5). Suppose 0 = -k*q + 8*q + 50. What is the least common multiple of t and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - -4)\/(19\/(-2))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (3 - ((6 - 3) + 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 310432, 2483465, 8381710, 19867777, 38804276?\n\"Answer: 310435*j**3 - 4*j**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - v + 1 = -2*u, -2*u + 14 = -4*v. Let r = 4 - u. Suppose 3*w + 3*f - 3 = -0, 11 = r*w - f. Calculate the highest common divisor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3238 (base 12) in base 16?\nAnswer: -158c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9 - -5258\nAnswer: 5249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 67, 0, 1 in ascending order.\nAnswer: 0, 1, 2, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -191857, -2\/3, 4, -1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2322232 (base 4) in base 3?\nAnswer: -121101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.05, -0.2, 1\/7, 5197, 2\/7 in decreasing order.\nAnswer: 5197, 2\/7, 1\/7, 0.05, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + q - 7. Suppose -3*z - 2*r = 2*z + 33, 3*r = -12. List the prime factors of s(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -6 + j - 4*j - 12. Let k be d(0). Is k at least as big as -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**2 + 2*h - 2*h)*(4*h + 3*h - 5*h) + 0*h - 2*h**3 + 5*h - h + (h**2 - 5*h**2 - 10*h**2)*(6*h - 3*h - 4*h).\nAnswer: 14*h**3 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/7)\/l)\/l**(2\/15)*((((l**8*l)\/l)\/l)\/l)**(-3\/40) assuming l is positive.\nAnswer: l**(-121\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20246591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -691*h = -341*h - 302*h + 1680 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*s + 56*s + 332 = 80. Which is the second biggest value?  (a) s  (b) -3  (c) 2\/9  (d) 8.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -3*z + 5*j, z - 45 = -5*j - 50 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) -5  (b) 5  (c) -3  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4*j + 21 = 0. Suppose -5*x - j = 18. Calculate the smallest common multiple of 8 and (-52)\/x + (-2)\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i**2\/3 + 48290*i\/3 + 1109083 = 0. What is i?\nAnswer: -48221, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-96))\/((-18)\/(-12)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*t**3 - 4*t**2 + 4*t**2)*(29*t + 29*t - 62*t)*(4 - 1 - 1) to the form s + m*t + y*t**3 + n*t**2 + k*t**4 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + -4 + (-240)\/(-39). Let c = 19\/249 + -52117\/996. Let m = -52 - c. Is i at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/6, -45\/49, -0.1, -5, 1.2?\nAnswer: -45\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 + 0*o**2 + 10*o + 0*o - 10 - o**3 - o**2.\nAnswer: -(o - 2)*(o - 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24591867.\nAnswer: 3, 193, 42473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 557*m**2 - 2*m - 3. What is the units digit of z(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -4260858*x. Let i(n) = -n**2. Give i(k(y)).\nAnswer: -18154910896164*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3512\/108*63\/6. Let c = k + -341. Factor -10\/9*s**2 + c*s**3 + 8\/9*s - 2\/9.\nAnswer: 2*(s - 1)**2*(2*s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63473194.\nAnswer: 2, 31736597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 52*b*s**2 + 109*b - 319712*s**2 + 349583 wrt s.\nAnswer: 104*b*s - 639424*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/272 and -9\/6819890?\nAnswer: 54559120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -30*i + 36. Let c(s) = 34*s - 36. Determine 5*c(m) + 6*f(m).\nAnswer: -10*m + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does -277\/5 = -12\/10343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 + 7*u**2 + 7*u + 11. Let b be c(8). Suppose 4*p + 4*g - 3*g - 1 = 0, -13 = -4*p + b*g. Is 16 a factor of 65 - (p + (-4)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*h - 120*h - 55*h + 252*h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 533340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3240781 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 311772?\nAnswer: 2, 3, 25981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 55*y - 3. Let f(s) = -73*s + 4. Let t(l) = 3*f(l) + 4*w(l). Let z(a) = 2*a**2 + 3*a**2 + a**2. What is z(t(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 3:32 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, q: 4, h: 1, z: 4, d: 1, s: 2}. Give prob of picking 1 s and 1 z.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, m: 3, b: 2, l: 1, w: 1}. What is prob of sequence aal?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 54222 and 69714.\nAnswer: 487998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 50056516 (base 7) in base 15?\nAnswer: 569491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 10 = -2*d, 3 - 5 = -2*d - 4*s. Find the first derivative of d*r**3 - 53 - 19 - r**3 + 22*r**4 - 4*r**4 wrt r.\nAnswer: 72*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of -k**4\/8 + k**3\/2 + 6*k**2. Let y = -1 - 2. What is the remainder when 20 is divided by o(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 85 + 118. Let q = p + -110. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12939 equal to 12681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 2*z + 997 = 0, -4*f - z + 647 + 150 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 539.819937401 + -539.82. Round l to six dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/1324 and 93\/352.\nAnswer: 116512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + -1 - ((2 - -54527) + -6). Let p = -31003 - q. What are the prime factors of (p\/(-25))\/(-8) + 2\/5?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*i - 12 = 40*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -245 + 252 - 1*7. Find l, given that 0 - 8\/9*l + 2\/9*l**3 + a*l**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67492?\nAnswer: 2, 47, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -19*(-1)\/21 - (1184\/(-111) - -11)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 378 * -5.\nAnswer: -1890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 3*h**3 + h**2 - h + 1. Let y be v(1). Let a(p) = -p**3 - 3*p**2 + 3*p - 3. Let f be a(-4). Solve 0*x - 3*u = 4*x - f, 0 = y*u + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-6*a + 4*a + 3*a)*(-11 + 2 - 2) + 12*a + 15*a - 54*a)*(-2*a + 2*a + 2*a**4).\nAnswer: -76*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 203633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 474402372 a multiple of 409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ngtnigetettggxg. Give prob of sequence nx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1108, 1368, 1628, 1888, 2148?\nAnswer: 2408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 5, -0.1, -0.5, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-1.480576.\nAnswer: -0.5922304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -6\/11  (b) -3  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 PM and 9:44 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 580383.\nAnswer: 3, 59, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -48 + 45. Let k be ((0 - -27)\/w + -3)*-2. Calculate the common denominator of -61\/4 and (6\/k)\/(15\/(-254)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2 + 205*p - 430.\nAnswer: 5*(p - 2)*(p + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from tgprp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 84 = 6*l. Suppose 33 = 4*d + 13. Let a = 9 - d. Solve -4*y - a*f + f = -28, -5*f = 2*y - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -794*v + 25160 - 12639 = -67673 for v.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lkq when three letters picked without replacement from {e: 2, j: 1, f: 2, k: 1, q: 5, l: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -11.5. Let q = u - -1. Let x = q - 0.3. Which is the second smallest value?  (a) 0.5  (b) x  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-5\/7)*d)**(-50)\/(d**(-3\/11)\/(d\/(d\/d**(-4\/3)))) assuming d is positive.\nAnswer: d**(-15095\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*r - 13*r + 6*r**3 - 7*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10567 is divided by 10409.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m - 30527 + 20327 = 0. Calculate the remainder when m is divided by 74.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(4\/7)*w)\/(w*(w*(w*w\/w**(-10))\/w)\/w)*w**(-5)*w*w**10 assuming w is positive.\nAnswer: w**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5300178.\nAnswer: 2, 3, 13, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of k**3\/6 - k**2 - 53*k. Determine b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12794 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1413\/4 + -353. Suppose -6*m + 3*m - 81 = 4*q, -4*q - m - 91 = 0. Let v = 13 - 13.2. What is the second biggest value in u, 2, q, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4883 by -8.\nAnswer: 4883\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 46656 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -0.6. Let t = -1.31 - s. Let x = 3353 + -3350. Sort t, x, 0.\nAnswer: 0, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w + 3. Suppose -7*b + 4*b = -9. Give g(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 240 + -237. Let b = 0 - 1. Let l be (5 - 3) + 2\/b. Solve 2*v + r*v = l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1997 (base 14) to base 10\nAnswer: -4641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = -2*a + 5, -131*a + 2 = -132*a + 2*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 573305 and 135529302?\nAnswer: 677646510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 8 = 7. Suppose -125 = -b*d - 15. Solve 4*x - d = -10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41822*b**5 + b**2 + 8951?\nAnswer: -2509320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -27*u**3 + u**2 - u. Let i(j) = j**3 + j. Let m(b) = -i(b) - s(b). Calculate the remainder when m(1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41590 is divided by 20041.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -118 + 118. Solve 5*f + 25 + 0 = p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.68895 + -0.02.\nAnswer: 0.66895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*c**2 + 2*c**2 + 7*c**2)*(c - 6*c + 4*c)*(14 - 14 + 8*c) to the form v*c**2 + b*c**3 + l + a*c + m*c**4 and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q**2 - q + 3. Let m(l) = -10*l**2 - 4*l + 14. Determine 3*m(i) - 14*u(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1134233 + 494463. Round u to the nearest 10000.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -5. Suppose z*r + 23 = r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 y when three letters picked without replacement from cztytztctztt.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 190 by 2.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.02 and -80289.\nAnswer: -80289.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194 = -43*s + 140*s. Solve -s*z + 3*u + 27 = z, -5*z + 7*u + 49 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 2139576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2*d + 10 = -3*n, -5 = -n - d. Suppose o = -o + 5*a + 35, 3*o - 2*a - 36 = n. What is the highest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2905 and -161.694?\nAnswer: 469721.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 11200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.068  (b) 3  (c) -2  (d) 1\/5  (e) -5.4  (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from bfbfwnofffbnfnfffo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 522 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of -63*g**4 + 2*g**3\/3 - 1405*g - 7314. What is the derivative of p(v) wrt v?\nAnswer: -756*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1046 - 1046 + 60*x)*(x + x**3 + x**2 - 2*x**3 + 0*x**2).\nAnswer: -60*x**4 + 60*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75509 + 181798 = -2583*j - 206254 for j.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of 3*t**5\/100 + 9*t**4\/20 - 21*t**3\/10 + 33*t**2\/10 - 50*t + 1. Factor c(p).\nAnswer: 3*(p - 1)**2*(p + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5955.7 and 0.137.\nAnswer: 5955.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 1 = -d, 4*k - 2*d = d - 23. Calculate the common denominator of k\/(-3)*(-105)\/28 and 7\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**3 + 2*i**2 - i + 2. Let k be -1*(-3)\/(3\/25). Suppose 15 = 5*d - k. Let f = d + -6. What is w(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 + o**2 - o - 3. Suppose 2*b + 2*s + 4 = 0, -5*b + 5*s + 3 = -37. Let v be z(b). Suppose v*c - 29*c - 20 = 0. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3567 is divided by 170?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 358 + -217. Calculate the highest common factor of i and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m + m**4 - m + 4*m**4 - 4*m**4 - 3*m**4 + (2*m**2 - 2 + 2)*(m - m - m**2).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -150*m - 154*m - 157*m + 626*m - 162*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 5 = 13. Calculate the smallest common multiple of c and (-25)\/(-200) + 956\/32.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -7*h + 7. Let a be t(3). Let d = a + 24. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 4 = 0, 0*f - 4*f - 5*n + 607 = 0. Suppose 19*r = 10*r + f. Calculate the remainder when r is divided by (3 + 0)\/3*7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-10)*(-36)\/126\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**0\/d)\/d*d)**1)**(16\/5) assuming d is positive.\nAnswer: d**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -50 - -52. Suppose 2*d = -3*x + 313, b*x + 2*d = 4*x - 202. What is the hundreds digit of 2*-1 + (x - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i + 7. Let g(q) = q**3 - 10*q**2 + 11*q - 14. Let d be g(9). Suppose -11 = -j - d*c, 0*c - 2*c = 5*j - 19. What is v(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 599920 by -4.\nAnswer: -149980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 2*p + 4 - 1, -12 = 2*p + 4*l. Let t = p + 7. Solve -b + t = 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16 - -1) + 28 + 1 + -11 - (32 - 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -258827*a**2 - 125*a - 1847?\nAnswer: -517654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p - 5. Suppose -21*g + 524 = 398. What is n(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/3, 1\/10, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 < -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 29 - 32)*(1 - 1 + 6*o + (-o + 4*o - 2*o)*(-2 + 2 + 2)) + 4 - 2*o - 4 + (2 - 5 + 2)*(-3*o + 5*o - 3*o) + 2*o - 3 + 3 - 8*o + 0*o + 4*o.\nAnswer: -515*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*f = 53*f + p - 8801, -13200 = -3*f - 3*p. What are the prime factors of f?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-1) + 3 - 1. Let n = -1.3 - -1. Let r = n + -0.7. Which is the closest to -2?  (a) r  (b) m  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*q - 45*q = -32*q + 14040. Calculate the highest common divisor of 104 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, d: 4}. Give prob of sequence dee.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 92019718 to the nearest integer?\nAnswer: 9593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*m - 37*m = -6. Suppose 3*l - 6*l = -96. What is the remainder when l is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -530 and -67612?\nAnswer: 67082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 + 13*i + 36. Determine a(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 + 3. Let l be x(2). Let r = 386 + l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 7)*(25*n**3 + 13*n**3 - 13*n**3).\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -31*j**2\/2 + 14*j - 34. What is the derivative of d(o) wrt o?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 957562995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35, 79, 141, 221?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16\/(-12)*(-5)\/(10\/1212). What is t rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 45*a**3 - 11*a**2 + 8*a + 14. Let d = 78 + 3. Suppose d = 7*j + 2*j. Let t be n(j). Round t to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.7756022 micrograms?\nAnswer: 0.0000000000007756022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -1747229*c**3 - 3474*c + 3474. Let u(a) = -5028*a**3 - 10*a + 10. What is 5*r(x) - 1737*u(x)?\nAnswer: -2509*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 8:27 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 3 = -6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/373 in -86, -0.5, 1\/11, -6\/11, -0.1, 0.1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -10. Let q(n) = -n**3 - 3*n**2 + 4*n. Let a be q(l). Let m(g) = 0 + a*g**2 + 3 + g**2 - 2*g - 6. Give m(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + (702\/357 - 4). Let l = -38\/119 - q. Let y = 64 + -62. Which is the nearest to -0.1?  (a) 1  (b) y  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17705, -17711, -17717, -17723?\nAnswer: -17729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 33*s**2 + 2701*s + 7405. What is q(-79)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*(8 + -1 - 2). Suppose g*b - 2*b - 33 = 0. Suppose 4*z + 0*m = -m + 6, m = -5*z + 7. Calculate the greatest common factor of b and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2064 + -2061. Put c, 83, 5, -3 in descending order.\nAnswer: 83, 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3045102?\nAnswer: 2, 3, 317, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -892 + 954. Which is bigger: 69 or r?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 32 + -244?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 103 + -56. Let f = -4373.09727 - -4326.0972677. Let h = f + a. Round h to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/5)\/w**(1\/8))**(1\/23)\/((w*w**(2\/5)*w)**(-8\/9)\/(w\/w**(-5)*w**(1\/5))) assuming w is positive.\nAnswer: w**(23009\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/2 and 17986.5318 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 - 6*o - 16. Let j(l) = l**3 + 35*l**2 + 31*l - 107. Let q be j(-34). What is the least common multiple of s(q) and 104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 5*x - 110, -2*f - 2*f = -2*x - 506. Let s = 54 + 52. Let p = s + -56. Calculate the highest common factor of p and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-123)\/(-4))\/41)\/((-9)\/(-84)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2649*n**3 - 3*n - 12108*n**3 + 3*n.\nAnswer: -9459*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 26459767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 375, 754, 1155, 1590, 2071, 2610, 3219?\nAnswer: 3910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 145613 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72.94767kg to tonnes.\nAnswer: 0.07294767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1821*a**4 + 1306 - 5*a**3 + 8*a - 1719*a**4 + 5*a**3 wrt a?\nAnswer: 408*a**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 11500 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120 + -123 + -27 + 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -53 + 52 - (-1 + -1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155*b - 2590 + 3985 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14026167 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37982\/47 + 808. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20 + (-8 + 13 + -10 - -26) + -11?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 870 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-18)\/(s*s*(s*s**5)\/s*s))\/((s\/(s\/(s*s*s*(s*s*s**(-1\/7)*s)\/s*s*s))*s)\/s*s)**(-3\/25) assuming s is positive.\nAnswer: s**(-877\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 105.2 - 105. Let g be (-10)\/(-66) + (-3)\/9. Let r = -0.2 - -5.2. Which is the smallest value?  (a) g  (b) r  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of 19*s**2 + 0 + 0*s**6 + 7\/24*s**4 - 2\/105*s**7 + 0*s + 0*s**5 + 0*s**3. Find the second derivative of r(j) wrt j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -124816561, -124816552, -124816531, -124816492, -124816429, -124816336, -124816207?\nAnswer: -124816036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w**2 - 432*w**3 - 511*w**3 - 2*w**2.\nAnswer: -943*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/40 + 1*(-13874)\/8. Round r to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 24142, 5 in increasing order.\nAnswer: -3, 5, 24142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.34 + -9.66. What is the smallest value in -3\/4, 2, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 135\/10 + 2\/(-4). Suppose n + 78 = 4*i - 35, 4*n = -5*i + 136. Let p = i - d. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l**2. Let v(x) = 17*x**2 + x + 238. Determine v(t(q)).\nAnswer: 68*q**4 - 2*q**2 + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 440521720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, -0.1, 1\/25, 2\/29, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3187*m**2 + 0*m + 0*m + 823*m**2.\nAnswer: -2364*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -187\/39312 and 1\/222768?\nAnswer: 668304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 5*b + 6. Let c(a) = 6*a + 10. Let s(y) = -y - 2. Let x(k) = -2*c(k) - 11*s(k). Let z be x(7). Determine o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -57 * 0.2.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -432445 divided by -33265?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -8*v + 176. Let p(z) = -28 - 22 + 109 - 63. Calculate -4*d(b) - 176*p(b).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170*s + 469 + 211 = 0. Sort s, -2\/11, 1\/5, -3\/2, 10 in decreasing order.\nAnswer: 10, s, 1\/5, -2\/11, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6756)\/(-238149))\/((-4)\/3)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 139095 and 139098 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -14 + -5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c**2 - 161*c. Let o(p) = -2*p - 1. Let n(s) = 18*s + 8. Let q(z) = n(z) + 8*o(z). What is r(q(w))?\nAnswer: 8*w**2 - 322*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (18735\/9992)\/((-9)\/8)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-66)\/55)\/((-2)\/5). Let r be (18 - y)*(-2)\/(-5). Let d(a) = a**3 - 3*a**2 - 16*a + 61. Let f be d(3). Are r and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*w - 910 = -624 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 + 6*t - 6. Let z be m(4). Suppose -3 = 2*s + 4*i - 11, 2*s + 22 = z*i. What is the units digit of (-21)\/(-7)*(-2)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -16a9 - -9?\nAnswer: -16a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zyloooooyyollylloo. Give prob of sequence lyy.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 602347.3 centuries in months?\nAnswer: 722816760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -59*b*g**3 - 2*b*g + 92*b - g**3 + 1 with respect to g.\nAnswer: -177*b*g**2 - 2*b - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 46130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -4*z**2 + 44*z - 27. Calculate p(8).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (112 - 107) + -6 + (-2 - -25 - -3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from tttbnbbttttnbbtbt?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**7*p\/p**(-5)*p\/(p*p**(-1\/2))*p**(-4))**(10\/7) assuming p is positive.\nAnswer: p**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -1\/9438  (b) -245\/3  (c) -2\/11  (d) -1\/5  (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 + (-8 - 161\/(-42)). Let n = 0.36 - 0.26. Sort 16, n, h in ascending order.\nAnswer: h, n, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -198 + 346. Calculate the highest common divisor of 222 and g.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4\/3 - -5\/3. Factor 2*j**3 + 1\/3*j + x*j**5 + 4\/3*j**2 + 0 + 4\/3*j**4.\nAnswer: j*(j + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((2*sqrt(432) + sqrt(12))\/sqrt(2))\/(sqrt(3) + 2*sqrt(12) - ((sqrt(33)\/sqrt(99) + sqrt(3) - sqrt(3)) + sqrt(3))).\nAnswer: -5 + 39*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42 (base 9) to base 13.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/3, -4\/5, -5, -4, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -20  (b) -1\/3  (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -7. Let k = i - 5. Suppose -3*g + 42 = -k*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -16*a. Let w(z) = -37 - 4 - 18 - 14 - 3 + 3*z. What is n(w(u))?\nAnswer: -48*u + 1216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of 4*i**2 - 1\/210*i**5 + 0*i + 1\/42*i**4 - 1\/21*i**3 + 0. Find u such that x(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (75\/20)\/15*9\/(-3)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 47 = -5*n, -n = -3*w + w - 15. Let z(u) = -n*u - 6 + 2 - 1. Does 13 divide z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - 12 - (-33)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -5*r**2 - 57345*r + 172080 = 0.\nAnswer: -11472, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that o**3\/5 - 784*o**2\/5 + 97801*o\/5 - 192474\/5 = 0.\nAnswer: 2, 153, 629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2107 + 2107.13. Which is bigger: 88 or c?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 7*t**2 + 2*t + 1. Let k be (2 - -1)*(-3)\/9. Let h be f(k). Solve 0 = -2*q + 4*q - h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 1. Let l(s) = -7*s + 7. Let t be (1 - 6)*(-3)\/3. Let c(i) = t*n(i) - l(i). Suppose -5*x + 4 = 3*g, x + 9*g + 8 = 4*g. Calculate c(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*y**4 - 44*y**2 - 15668*y + 100369255.\nAnswer: -20*y**3 - 88*y - 15668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2*f = 0. Let l(w) = w**2 + 18. Let t be l(0). Let p be 14\/(-49)*(-14)\/t. Which is the nearest to f?  (a) p  (b) -3\/7  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, 1, -1\/19, -2, -1, 0.06 in descending order.\nAnswer: 1, 0.06, -1\/19, -1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of -y**6\/48 - 11*y**5\/60 - 23*y**4\/48 - y**3\/2 - 18*y**2. Factor w(r).\nAnswer: -(r + 1)*(r + 3)*(5*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41944 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/2*429\/715.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 99.034 + -99. Let t = 7.034 - f. Is 1\/8 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + 616064000?\nAnswer: 616064001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 69210 + 1449\/276*(-8)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23225, 92885, 208985, 371525, 580505, 835925?\nAnswer: 1137785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 3*u**2 + 11*u + 27. Let z be w(-3). Solve -2*c = -5*o - z, -3*c + 4*c + 3 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3439 + 0.6439. Let p = 61\/2 - 32. What is the second biggest value in -4, q, p, -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24130*n*x**2 - 2508*n*x + n - 2*x wrt x.\nAnswer: -48260*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-1\/4)\/j)\/(j\/j**(-3\/5)))\/((j\/(j\/j**(3\/7))*j)\/(j\/j**(-5))))**(5\/4) assuming j is positive.\nAnswer: j**(241\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4959677 is divided by 238?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 26\/(-26)*(-4)\/1. Let k(w) be the first derivative of -3 - 1\/3*w**3 + 3*w**2 - a*w. Determine k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 4*i**2 + 48*i - 1. Let o(m) = 51*m**2 + 1641*m - 2154. Let g(u) = -o(u) + 12*q(u). Factor g(t).\nAnswer: -3*(t - 2)*(t + 357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 203487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**2 + 39*z + 22. Let v be w(-19). Suppose v*p = -p. Let l = 7 - p. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0049944 rounded to 4 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of -10*l - 1\/2*l**2 - 1\/270*l**5 + 0*l**3 - 1\/108*l**4 + 0. Let y(s) be the first derivative of c(s). Factor y(x).\nAnswer: -2*x*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 PM and 5:53 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4) + 2*sqrt(16) + sqrt(256)*-1)*-5)\/(sqrt(200) + sqrt(2) - 1*sqrt(2)*3).\nAnswer: 15*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 + -11. Let t(k) = -k**3 + 19*k + 20 - 19*k**2 + 2*k + 0*k**3 + 6. Calculate the lowest common multiple of t(-20) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 PM and 9:31 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12767 - -12771. Solve -100*i = -104*i + m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 223 + 2*x**2 + 13*x + x + 266 - 485 to the form u*x + n*x**2 + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 879205559 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -56*h**3 - 124*h**2 - 62*h + 744136.\nAnswer: -168*h**2 - 248*h - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22 - 8) + -3 + -6 + (2 - -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of -b**5\/20 + 2*b**2 + 2*b. Let z(g) = -g. Give q(z(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4043*x - 206197 = -5425*x - 498013 - 446688 for x.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j - p = -11, -6*j + 7*j - 7*p + 36 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 - 6*u + 6. Let t be c(5). Let m be 0\/(-4 + t)*-1. Suppose 2*o + m*o = 24. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 PM and 12:12 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t - 11*t = -12*t + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -2081\nAnswer: 4\/2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c - 6. Let x be k(5). Suppose -x*n + 18 = 2*a, -2*n - 2*n - a = -17. What is the second derivative of 6*j**n - j**4 + 0*j**4 + 6*j + j**4 wrt j?\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ifffniknkvfnnnn. What is prob of picking 1 k and 1 f?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 + 10*m**2 - 11*m + 22. Let a = 238 + -229. Let v be r(a). Solve -4 = 3*g - v*j, 4*j + 1 = 5*g - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h**2 - 47*h + 45*h - 2377 - 2212 + 77 + 117 in the form w*h + z + u*h**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -270069800 to the nearest one hundred thousand.\nAnswer: -270100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 35\/(-10)*(2 - -6)\/(-2). Let s(d) = -d**3 + 15*d**2 - 14*d + 19. Let g be s(y). Suppose -11*a = -1246 - g. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 870\/49937 or 1?\nAnswer: 870\/49937","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -4*p**2. Let z(y) = -98*y. Determine q(z(s)).\nAnswer: -38416*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -16*m - 58. Let l be p(-17). Suppose 182 = -4*q - l. Let c = 11 - q. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0596369094 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/25)*l)**11\/(l*l**(-4\/7)*l**(-1\/3)) assuming l is positive.\nAnswer: l**(5263\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 445 - 439. Does 9 divide -4 - 278\/x*(-20 + 17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (26 + -26 - -23) + -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 476 + 207*j**2 - 476.\nAnswer: 207*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-14) + (-496)\/(-14). Let w = x + 242. Let k = w + 21. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of -1\/12*v**4 + 0 + 0*v - 5*v**2 + 5\/6*v**3. Let t(n) = -1. Let i(b) = f(b) + 6*t(b). Determine i(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of -a**3\/6 + a + 2. Let r(y) be the first derivative of v(y). Give r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -8*s**3 + 7*s**2 - 7*s + 7. Suppose 8*l - 5*d = 4*l - 29, l + 4 = -2*d. Let x(p) = 8*p**3 - 6*p**2 + 6*p - 6. Give l*k(y) - 7*x(y).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 30 + -122?\nAnswer: -d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/7 and -8046.798 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(425) - (-4 + sqrt(425) + 3) - sqrt(425)) + (sqrt(425) + (2*sqrt(425) - sqrt(425)) + 3 + (2*(-1 + sqrt(425)) - sqrt(425)))**2.\nAnswer: 60*sqrt(17) + 3820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 206.7 + -216. Let n = 9.2999788 + p. What is n rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00186237 rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -20*k**3 - 6*k**2 - 17*k - 17. Let x(j) = -7*j**3 - 2*j**2 - 6*j - 6. Calculate -6*p(l) + 17*x(l).\nAnswer: l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-0.032.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/4 + (-199692)\/(-16). Round s to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 405183?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2605290*g**6*v - 4*g**2 + 6*g*v + 2*g - 10*v - 114 wrt g.\nAnswer: -312634800*g**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + (-205)\/(-105))*12?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 - ((-1)\/(-2))\/(6\/(-1236)). Suppose 3*r + 2*r = -f + 166, 103 = 3*r + 4*f. Calculate the highest common divisor of a and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 897643179 is divided by 11012.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 4 - 26 = 0. Suppose -23853053 - 80546947 = -c*a. What is a rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(-2))**(-17)\/(a**2*((a**(2\/37)*a)\/a)\/a))**(9\/7) assuming a is positive.\nAnswer: a**(-17334\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zztzzt. Give prob of picking 4 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 558713a4?\nAnswer: 558713a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 - -100121102?\nAnswer: 100121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 566510.\nAnswer: 2, 5, 7, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 3*c + 2)*((-c - 1 + 1)*(-c + c + 2*c) + 0*c**2 - c**2 + 0*c**2) + c**2 + 1 - 1 + 4*c**3 to the form r + a*c**2 + b*c + o*c**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 28*p**2 + 53*p - 93. Let q be n(-3). Which is the smallest value?  (a) -2  (b) q  (c) 2  (d) -84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/14 and 3\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d**2 + 2*d**4 + 4*d**2)*(-47 - 1 + 1)*(3*d - 5*d + 3*d).\nAnswer: -94*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (968 - 512 - 300)*(3 - 1 + 28*r**2 - 45*r**2).\nAnswer: -2652*r**2 + 312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2523*g + 20300. Give w(8).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -129, 128 in increasing order.\nAnswer: -129, 0, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23\/31 + -769\/217. Let b be 1*(2 - -3*6). Suppose 5*k = 2*q - 6*q - 28, -2*q - b = 4*k. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55877816.\nAnswer: 2, 6984727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 4*b**2 - 4*b. Let i(w) = w**3 - 4*w**2 + 5*w - 4. Let q be i(3). Let l(d) = -1 + 3*d**2 - d**q - 2*d + 1. What is 7*l(y) - 3*m(y)?\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -63598.9 times 0.03?\nAnswer: -1907.967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 11:57 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*u - 13607704 = 11*u - 448*u. Calculate the remainder when u is divided by 219.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 59\/5*t**3 - 32\/5 + 32*t + 6\/5*t**4 + 182\/5*t**2 = 0?\nAnswer: -4, -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-9))\/(4\/(12\/(-9)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.68 and -0.13.\nAnswer: -0.2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus -15576?\nAnswer: 15573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 5)*(4*s - 4*s + 7*s + s - 3*s + 0*s + (2 - 2 - s)*(6 - 3 - 1) - s + 2*s - 2*s - s + 5*s - 2*s + 4*s + 0*s + 3 - 2*s).\nAnswer: 18*s + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(84)*-2)\/(-1*sqrt(588)) + 2.\nAnswer: 4*sqrt(7)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 22*c**2 - 16*c + 63. List the prime factors of y(5).\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (0 - -6 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 107, -2, 2\/3, 3, 0.3, -1\/13 in descending order.\nAnswer: 107, 3, 2\/3, 0.3, -1\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -6, -4, 8, 38, 346.\nAnswer: -6, -4, 5, 8, 38, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 472\/336 - 36\/441*7.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1526, 4, 5, 3, -3, 2 in increasing order.\nAnswer: -3, 2, 3, 4, 5, 1526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17.09 * 8.\nAnswer: -136.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2 + l**2 - 2 + 2*l**2. Let m(q) be the third derivative of 5*q**2 + 0*q**4 + 0*q - 1\/30*q**5 + 0*q**3 + 0. Determine m(a(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 107 = 4*k, -31 = k - 0*k + 5*c. Let s(v) = 4*v + 53. Let l be s(k). Let x = l - -45. Let f(g) = -g**2 - 7*g - 2. What is f(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17449, -17455, -17465, -17479, -17497, -17519?\nAnswer: -17545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65, -132, -225, -344, -489, -660, -857?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6392101\/93 + -68733. Calculate the common denominator of y and 7\/248.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*p*s - 469*p - 115*s with respect to p.\nAnswer: -2*s - 469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-185)\/2*((-48)\/(-10) - 4). Let j = g - -70. Suppose -49*u + 45*u - 4 = 0. Sort 1, 5, u, j in increasing order.\nAnswer: j, u, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + h - 832, -3*h - 786 = -4*j + 858. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of a*c*m - a*m*s - a + 2*c*s**2 + m*s**2 + 4*m - s**2 wrt m.\nAnswer: a*c - a*s + s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -3*w - 25. Let d be k(-10). Let t(z) = z - 10. Let q(l) = l - 10. Let a(p) = -6*q(p) + 7*t(p). Determine a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83709978 take away 56571?\nAnswer: 83653407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3\/8 - 45*m**2\/8 + 213*m\/4 - 99.\nAnswer: -3*(m - 4)*(m - 3)*(m + 22)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 67 + 131 = 0. Suppose 0 + p = 3*y. Suppose 4*u = 2*f + y, 4*u = 3*u - f + 1. What is the greatest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 5  (c) 2\/13  (d) 1  (e) 1.4  (f) 37\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - (0 - 4)) + (-15)\/(-2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.59 + 0.11. Let d = 852.3 - 851. Let n = h + d. Is 2 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 3*w - 33, -6*i + 2*i + w + 40 = 0. Let h be (-2)\/3 - (5 - 42\/i). Let q(x) = 14*x + 1. Give q(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -14809, 16.\nAnswer: -14809, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 96 - 94. Is r\/8 - 6744\/(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 357, 2\/3, 16\/31?\nAnswer: 16\/31","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is ((-1067)\/(-485))\/(12*1\/(-15))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 2*s**2 + 2*s - 1. What is w(4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*b - 8*b - 4*k = -13, 4*k = 21 - 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -727*y**2 - y - 5*y + 4*y.\nAnswer: -727*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.521 + -0.3.\nAnswer: -2.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 14528.2361 to the nearest ten.\nAnswer: 14530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 767 and -54528.\nAnswer: -41822976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 117 - 114. Suppose -20 + 0 = -5*o + 5*y, -o + f*y = -8. Let j be (-12)\/4 - -6 - 3. Sort -5, 4, o, j in descending order.\nAnswer: 4, o, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162929808421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/750)\/(-4 - (-54)\/15)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -424698, -425580, -426462?\n\"Answer: -882*f - 423816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/((f\/f**0)\/f))**30)**(-34)\/((f*f**(2\/5)*f)\/(f\/(f**9\/f)))**(44\/3) assuming f is positive.\nAnswer: f**(-32668\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 19. Let v = p - -16.5. Let a = 0.9 - -4.1. Sort v, a, -2.\nAnswer: -2, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 3*y, 0 = 4*y - 2*g - 25 + 3. Suppose -3*h - y*n + 64 = 0, -5*h + 68 = -2*n - 82. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, -2, 81, 5 in ascending order.\nAnswer: -6, -3, -2, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -5611, -27836, -64879, -116740, -183419?\n\"Answer: -7409*l**2 + 2*l + 1796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**2 - 2*r**2 - r**2)*(-27*r**2 + 43*r**2 + 35*r**2).\nAnswer: 51*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 20 = -10*v. Let z(w) = w**2 - 6*w + 10. Let t be z(v). What is the second derivative of 6*n - 7*n + 7*n**t + 0*n wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mlm when three letters picked without replacement from {m: 2, q: 1, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3696, 3563, 3430?\nAnswer: 3297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.064?  (a) 1\/6  (b) -5  (c) -3\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is a in a**5 - 8695*a**4 + 208120*a**3 - 137200*a**2 - 13314560*a - 35516416 = 0?\nAnswer: -4, 16, 8671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94*z + 190*z + 256 = 128*z. What is the remainder when 76 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-55)\/22)\/((-15)\/(-10) - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 2074197.\nAnswer: 1\/2074197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22629604 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6170.569 millimeters to nanometers.\nAnswer: 6170569000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.24 - -1.59. Let v = a + 1.65. What is the closest to 1 in 3, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 117 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(3 + 2)*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1057 + -89.9543. Let x = -90 - w. What is the third biggest value in -0.4, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q**5)*q**(-8))\/(q*q*q\/q**3*q**11) assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10137 greater than or equal to 12085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of f**3\/3 - f**2\/2 + 60*f - 1. Let i(h) = -3*h + 1. Determine -3*i(r) - 5*p(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 3*m**3 + 15*m**2 - 5*m - 24. Let y be o(-5). Is y at most -54\/223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = -4*m + 2*b - 936, -2*b = m + 240. Let g be (-1 - 0)*2*m\/164. Solve 0*c = c + g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -163, -304, -443, -580?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -10889 > -10894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2 + 4*k - 1. Suppose 0 = -n - 0*n - 4. Let t(x) = x. Let o(u) = n*t(u) + h(u). Differentiate o(i) with respect to i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*n = -74*n. Let j be 7 - 1\/(-2)*6. Solve -j*q + 6*q - 8 = n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 g when four letters picked without replacement from {g: 7, q: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 11) to base 14.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8*-5*1\/(-10). Suppose -2*k = x*h + k - 29, 5*k = 3*h. Suppose 3*m - h*m + 440 = 3*t, -630 = -3*m + 3*t. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 10, 4, -24533, -0.5, -0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (151536\/594)\/28 - 10?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/(-78))\/(2\/(-8)). Let p = -3 + 1. Which is the closest to -3\/4?  (a) p  (b) 1\/3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -505*t**2*v - 14404*t**2 - t*v + 2*t + 386*v wrt v?\nAnswer: -505*t**2 - t + 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 4*(sqrt(192) + 0) + sqrt(192) + 0 + 5)**2.\nAnswer: 320*sqrt(3) + 4816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, -2, 296, 1\/2 in increasing order.\nAnswer: -2, -1\/6, 1\/2, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-25)\/(-20))\/((-1)\/(-20)). Suppose -4*s + m + 5 = 0, 27*s - r*s - 7 = -m. Solve -4*j + 11 = f, 13 = 3*j - s*f - 2*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 811688 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 4*m = -43, 3*m - 34 = -2*t + 32. Calculate the common denominator of ((-376)\/(-384))\/((-72)\/t) and 31\/80.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x + 763 = 61*x - 687. Put -57, x, 4 in descending order.\nAnswer: x, 4, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -11*d**2 - 4. Let u(g) = -734*g**2 - 715*g**2 + 1481*g**2 + 11. Give -4*u(f) - 11*w(f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 179 + -174. Put h, -25, 4, -2\/13 in decreasing order.\nAnswer: h, 4, -2\/13, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/203?  (a) 60  (b) -0.31  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 2920975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 155 - 152. Let u = -2 - -1.9. What is the closest to u in l, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/11*1783782\/30030?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 5:53 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*a**5*c**2*w + 1744*a**3*w + a**2*c**2*w - 13*a*c*w - 6405*c**2*w + 2*c wrt a?\nAnswer: -660*a**2*c**2*w + 10464*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7790 divided by -41.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 4*o**2 + 8*o - 7. Let p(j) = j**3 - 6*j**2 - 12*j + 37. Let m be p(7). Let n be c(m). What are the prime factors of 1851\/9 + (-1)\/(-3)*n?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 568212.\nAnswer: 568212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 0, 69.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 291322 times -4\nAnswer: -1165288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t + 5. Let a be q(8). What is the nearest to 1 in a, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27\/(-21)*(-50)\/(-225).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -727475, -1454947, -2182419, -2909891, -3637363, -4364835?\nAnswer: -5092307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36 - -13. Let w = l + -19. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 530 + -528. Let b = 23 + -14. Suppose 20 - p = b*g. Calculate the least common multiple of 3 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 3) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r**3\/2 - 357*r**2 + 5769*r\/2 - 2527 = 0 for r.\nAnswer: -722, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2*v - m - 523 = 0, -110 = v + 2*m. Let u = v + 161. Suppose -n + 2*n = u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.09, -1\/2, 1\/5, 1, 10.89 in ascending order.\nAnswer: -4, -1\/2, 0.09, 1\/5, 1, 10.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -380836678*m**3 + 55036757*m + 8 wrt m?\nAnswer: -2285020068*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-1 - (3 + -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 + l**2 + l. Let n(s) = -15*s**3 + 5*s + 11*s**2 + 5*s**3 + 8*s. Let h(j) = -22*b(j) + 2*n(j). Find the second derivative of h(c) wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14030 = -1251*d + 65321 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 12 = -10. Suppose n*w + 54 = 36. Is (175\/(-63) - -3) + (-10807)\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q - 8*q + 9*q)*((-8*q + 8*q - 2*q**2)*(-q - q + 3*q) - 29*q + 15*q**3 + 29*q).\nAnswer: 65*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.41 + 2.41. What is the third biggest value in -3\/8, -2\/5, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 33.193571 from 0.\nAnswer: -33.193571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in eighty-seven fifths of a millennium?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from {k: 3, g: 3, o: 1, t: 3, r: 3, n: 2}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 3*j - 1. Let n be i(2). Let y be 3 + (2 + -2 - n). Solve -1 + y = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z + 1. Let k be (-2 - -5) + 0 + -1. Let t(f) = f + 5. Let x(n) = k*h(n) - t(n). Let g be 5*((-4)\/(-5))\/1. Give x(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - 2*l**4 + (2*l**2 - 2 + 2)*(l**2 - 5*l**2 + 2*l**2) - l**4 - 2*l + 2*l + (-4*l**2 + 0*l**2 - 6*l**2)*(-4 + 2*l**2 + 4).\nAnswer: -27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2196972 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of -5*j**4\/4 - j**3\/6 + 6*j. Let h be z(-1). Is 11 a factor of 37*2*(-7)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -8*r**2. Let c(y) be the third derivative of -y**5\/60 - 12*y**2. Determine w(c(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 3*h**4 - 15*h**3 - 6144*h**2 - 96876*h = 0?\nAnswer: -26, -23, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 200437?\nAnswer: 200437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f - 38*f - 2679 + 2679 + 4*f**3 - 6*f.\nAnswer: 4*f**3 - 46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -77 + 1 + -1 + 1. Let i be y\/18 - 16\/(-72). What is the nearest to 0.2 in -0.3, i, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*d**3 - 15792*d**2 + 120585*d - 73374.\nAnswer: 3*(d - 1747)*(d - 7)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21 and 9345?\nAnswer: 9345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -2147*k**3\/2 + 105*k**2\/2 - 2*k - 2. Let n be y(5). Round n to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-2 - (-1 - (2 - 4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 213.221 minutes in milliseconds?\nAnswer: 12793260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 6*p**2 - 1. Let u be z(-1). Suppose -60 = -u*w + 2*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -32\/717 in 1\/3, 7, 1\/5, 0.3, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 322 and 1232?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1430911?\nAnswer: 43, 107, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76\/(-12) + ((-54)\/(-27) - (-20)\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105 - 53 - 52 + 13*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1234 - 612. Let o = 710 - u. Let a be -2*2\/4*-11. What is the highest common factor of a and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30.67 - 30.37. Which is the second smallest value?  (a) -6\/19  (b) s  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 1 + (4 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gkbjubzk. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-14) - (-6)\/21. Let y(d) = d**2 + 1. Let f(x) = -3*x**2 - 3*x + 1. Let o(h) = g*f(h) + 2*y(h). Is 2 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -802*o + 808*o + 96 = 0 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -4*c + 13675 - 863, -5*c + 16060 = 5*q. Calculate the least common multiple of 28 and c.\nAnswer: 6412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 150103 or 148878?\nAnswer: 150103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 4, 1, 270, 0.\nAnswer: -25, 0, 1, 4, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1844*a - 5625 = 1619*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -131 - -127. Which is the biggest value?  (a) 0.5  (b) 5\/8  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - m - m + (-2*m + 6*m - 2*m)*(-2 + 0 + 0) - 2 + 2 - 2*m)*(-11 - 1 + 5).\nAnswer: 35*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35871 is divided by 75.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3*(-4)\/(-14))\/(537\/(-2506)). Factor 17\/2*l**3 + 8*l**2 + 0 + 2*l + 5\/2*l**a.\nAnswer: l*(l + 1)*(l + 2)*(5*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/6)\/(9\/36)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 + 11*w + 9. Let g be h(-8). Let v be (-16)\/10*g\/6. Suppose -4*k + 120 = m, 64 - 17 = k - v*m. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2509 and -192425.\nAnswer: 482794325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(12\/52728) + 17. Calculate the greatest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -5, -1, 46, -2 in descending order.\nAnswer: 46, 2, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -h**5 + 1857*h**4\/5 - 169927*h**3\/5 - 475561*h**2\/5 + 1965744*h\/5 - 139876 = 0.\nAnswer: -5, 2\/5, 2, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 4. Suppose c = -2*h - 2*h. Let o(u) = -7*u**3 + u**2 - u. Let f be o(1). Sort h, 5, f in increasing order.\nAnswer: f, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 3:25 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*v - 2*v + 5*v)*(-4 + 2 + 1) - 1761*v - 1725*v - 7626*v)*(-1 + 1 - 2*v).\nAnswer: 22226*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2067767509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - 3*d + 4*d)*(-22*d + 41*d + 39*d)*(2*d + 4*d - 2*d).\nAnswer: 464*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r, -2 = 4*s - r - 10. Suppose -s*f + 3*b = 5 - 21, 4*b + 33 = 5*f. Let z = 0.17 + -0.17. What is the second smallest value in z, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2\/4 - 3122481*t - 137388801\/4.\nAnswer: -3*(t + 11)*(t + 4163297)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -415, -805, -1195, -1585, -1975?\nAnswer: -2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -58.5 - -59. What is the fourth smallest value in -1, y, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.4, -1, -7, 0.4 in descending order.\nAnswer: 5, 0.4, -0.4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -53016 divided by -74?\nAnswer: 26508\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 582\/4365 + (-104)\/555?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 4*w + 32. Let p be b(-4). Suppose 0 = -4*a + 16, -2*l - 3*a - a = -p. Solve t + 3 + 0 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 12 = -s + 2*y, -3*y - 1 = 4*s. Let z(d) = 0*d**2 + 2*d**s + 45 - 45. Let b(q) = 11*q**2. What is b(z(n))?\nAnswer: 44*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 10:31 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = 2*p - 11160 + 10993, 4*r = -p + 231 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -948\/5*b - 3\/5*b**2 + 1908\/5 = 0.\nAnswer: -318, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i = -976 - 884. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iz when two letters picked without replacement from zzimzsiiiiw?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p - 19*p = 5. Let l be (70\/p)\/((-3)\/(42\/4)). What is the common denominator of 7\/24 and l\/(-147)*(-1 - 136\/10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (43\/((-1548)\/264))\/(14\/(-42)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 - 11*m - 5. Suppose -4*w + u = 42, w - 6*u + 20 = -u. Let c be l(w). What is the first derivative of 4 - 5 - c*k + 3*k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 15 = 4*z + 3, 3*z - r = -3. Suppose -65*m - m = -198. Suppose m*s - 156 - 603 = z. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*n**3 + 79*n + 8432750 - 2*n**2 - 8432750 to h*n**2 + l*n**3 + j + f*n and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -97 - -5.88217152.\nAnswer: -91.11782848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 14 + -13 - 13?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3124 is divided by 1037.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((2*sqrt(450) + sqrt(450))\/sqrt(9))\/(sqrt(1000) - ((-1*sqrt(1000) - sqrt(1000) - sqrt(1000)) + sqrt(1000) - sqrt(1000))) + 0.\nAnswer: -5 + 3*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*l + 20*l**2 + 26*l**2 + 10*l.\nAnswer: 46*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -19*k**2 - 68*k + 103. Calculate w(-8).\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of -p**4 + 2*p**3 - 3*p**2 + 6*p - 19. Let z(t) = -3*t**3 + 5*t**2 - 5*t + 5. What is -5*q(j) + 6*z(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 21, 35, 31, -3, -79, -209, -405, -679?\n\"Answer: -2*q**3 + 3*q**2 + 19*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -1 + (-23 - -8 - 2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7310?\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13699454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 40185507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 89553.32g?\nAnswer: 89553320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3253 (base 6) to base 4.\nAnswer: -23301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 2*g**2 - 5*g - 4. What is the remainder when l(6) is divided by ((-1078)\/(-308))\/(7\/48)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24.949 - 0.051. Let d = 727 + -751.74. Let y = d - g. What is y rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -85?  (a) 0.1  (b) 0.01  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11992009 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5, -14, -35, -74, -137, -230?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33)\/((-264)\/16)*(-4)\/(-264)*-2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -791*w + 8621 = -4035 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -6. Suppose -4*k - l*o + 22 = -32, 4*o = -2*k + 36. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-460)\/575*(-55)\/2. Solve -b*d = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -492289146 by 25777.\nAnswer: -19098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.2466459 - 114.7512841. Let y = u + 117. Round y to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-10724483)\/1232)\/(-101) + 9\/(-48) - (-1 - -9)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (260\/(-143) - -2 - (-1539)\/(-7920))\/((-3)\/5)\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -30, -27, -40, -75, -138, -235?\n\"Answer: -l**3 - 2*l**2 + 16*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 11*t**2 - 19*t - 333. Is r(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = 6*q - 177. Let n = q + -18. What is the remainder when 25 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 2) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 63194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1207 - -1211. Solve 0 = -5*p - 4*x + c, -2*x - 24 = -3*p + x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxw when three letters picked without replacement from {a: 4, x: 2, w: 2, o: 1, z: 10}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -5*o - 2. What is f(-8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40 + -33. Let k(w) = 102*w + 21. Let b be k(t). Suppose 0 = 11*v - b + 9. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2 = 0, 0*x = 5*y + 5*x. Let q(n) = 2*n**2 - 2*n - 2. Let l be q(y). Let r(k) = -k**3 + 9*k**2 + 12*k - 2. Is 9 a factor of r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 176 and 1539879?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 36.8 + -191.8. Let o = 152 + b. Let g be (-1)\/1 + (-6)\/(-10). What is the nearest to g in o, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -344322313?\nAnswer: 344322311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/103800 and -169\/150.\nAnswer: 103800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 4+0.72\nAnswer: 4.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6462 - 6459.6. Sort -1, q, 4\/3, -5 in decreasing order.\nAnswer: q, 4\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -9*h**2 - 8*h + 5. Let z(k) = -k**2 - 2*k. Let n(c) = -u(c) + 5*z(c). Let s(w) = 11*w**2 - 6*w - 14. Give 8*n(a) - 3*s(a).\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.029555 rounded to three decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 294734241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 4, -71, -6 in ascending order.\nAnswer: -71, -13, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1038 smaller than 8303\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/40)*d*d\/((d\/(d\/(d*d*(d**35\/d)\/d)))\/d))**(1\/30))**(-6\/25) assuming d is positive.\nAnswer: d**(1281\/5000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 305384 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1001 + -986. Suppose -29 = -4*h - 5*a - 84, 3*h - a + 27 = 0. Let j = l + h. Solve 3*c - 5*n + 5 = 0, -5 = -3*c - 2*c + j*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 1b39b4?\nAnswer: 1b39b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -4*t - 19. Calculate z(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (18 + -2 - 62) - -13.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 13*z**2 + 102*z - 10. Let m be b(-8). Solve 9 = -3*f - 32*v + 29*v, 2*f - v = m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 144 + -23142420?\nAnswer: -23142221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 - 4 = 2*a. Let q = 1716 + -1667. What is the greatest common divisor of a and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 14, -810, 8, -3 in decreasing order.\nAnswer: 14, 8, -3, -4, -810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10\/18359 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 674546320 to the nearest integer?\nAnswer: 25972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1869*i**3 - 1131 wrt i.\nAnswer: -5607*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1)\/9)\/((4095\/(-126))\/65))\/((-2)\/(-21)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1077988.856 to the nearest 1000.\nAnswer: -1078000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-80))\/(372\/65472)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w**2 + 375*w**3 + 7 + 74*w**3 - 7*w + 0*w**2. Is x(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 13, -1, 39 in descending order.\nAnswer: 39, 13, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l + 5. Let q be p(-6). Suppose -7*s = -5*s - 4*w - 1444, -697 = -s - 3*w. Suppose q*d - 3*d = s. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123489 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 33617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 12 = -r, -13 = -2*r - 2*r - q. Suppose -s - 3*i = -3, -2*s + 6*i - 4*i - r = 0. Solve s = -g - g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 980343 = -2*u - 3*u + 32*u. What is the ten thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 64.1806um?\nAnswer: 0.00641806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -28800 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11312*m + 21815*m + 18457*m.\nAnswer: 28960*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 7*b**3 - b**2 + b. Let o be f(1). Suppose o = c - 38. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15336050 + -25.\nAnswer: -15336075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 61684 and 9.\nAnswer: 555156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i = -102 - 87. Suppose -4*n = -2*q + 146, 2*q - 47 = n - 2*q. Let k = i - n. What is the greatest common factor of 35 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + y - 2)*(6*y - 3*y - y) - 3*y**2 + 3*y**2 + y**2 - 3*y**2 + 0*y**2 + 2*y**2 + (4*y - 4*y - 2*y**2)*(-3 + 4 + 1) + y**2 - 5*y**2 + 2*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = -41*h - 576 + 18, k + 2*h + 2*h + 47 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -10*v + 198. What is i(20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000000011100 - -10000110001100?\nAnswer: 1000101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -133 + 24?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 38\/(-10) + (5 - (-6)\/(-6)). Suppose -2*j = -3*j - 10. Let v be j\/25*2\/4. What is the closest to u in -0.3, -2\/9, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2247, 4319, 5777, 6315, 5627, 3407?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 8 - 7. Let j = z - -3. Suppose j = -5*t - 9 - 6, 3*t = b - 9. Solve -d - v + 1 - 6 = b, 5*v = -2*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -320.805 + -0.10813?\nAnswer: -320.91313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**2 - 22*m + 11*m + 11*m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -22565 (base 7) to base 10\nAnswer: -5780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8)\/(-6))\/(208\/(-48) + 5). Suppose l = -3*w + 9, -3*w + 8*w + 10 = 0. Solve -h*n = 5*z + 19, -n + 3*z + l + 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 11, u: 2}. What is prob of picking 1 f and 1 u?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.225 + -0.775. Which is the nearest to 1\/3?  (a) -0.1  (b) -2  (c) m  (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 5  (b) -5\/2  (c) 0.08  (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 107 - 294*b - 557*b - 222 + 115 as c*b + f and give c.\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(8)\/sqrt(4) + 4 - (-2*sqrt(10))\/sqrt(5)) - (-4 + sqrt(198)\/(3*-2*sqrt(11))))**2.\nAnswer: 464*sqrt(2) + 1353\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(112)*2 + sqrt(112))\/(sqrt(28)\/(sqrt(7) + sqrt(35)\/sqrt(5))).\nAnswer: 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1355.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, 23, 39, 49, -18 in increasing order.\nAnswer: -18, -2, 3, 23, 39, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35 by 10.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-108)\/567*119\/(-136)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.6 * 112.\nAnswer: -67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 - 5. Let a(i) = 3. Let z(l) = -5*a(l) - 3*v(l). Let t(b) be the first derivative of 0*b + 1 + 1\/2*b**2. Calculate z(t(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 19715*m + 80015. Determine t(-4).\nAnswer: 1155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -0.2  (c) 13803\/8  (d) 3\/2  (e) -176\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 6 = -3*g, -t = 63*g - 67*g - 18. Put -1, 1, t, -34 in decreasing order.\nAnswer: t, 1, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16.5 - -307428\nAnswer: 307411.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 222210?\nAnswer: 222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u**2 + 46*u - 585. Is 20 a factor of m(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minus -51317787?\nAnswer: 51318189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 359828336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -522 or -532?\nAnswer: -522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -54204, -108376, -162486, -216498, -270376, -324084?\n\"Answer: 6*l**3 - 5*l**2 - 54199*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(500) + sqrt(500) + -5 + (-4 + 2*sqrt(500) - sqrt(500)) + 3 - (sqrt(15)\/sqrt(3)*-3 + -4*(sqrt(5) + sqrt(5) + -2))*-1)**2.\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -16639 and 8879872.034.\nAnswer: 8863233.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 5*c**2. Let b be g(-1). Let l(m) = m - 1. Let h(p) = -2*p**2 - 1 - 3*p + 6*p + 0 - 4. Let o(y) = b*l(y) - h(y). Factor o(w).\nAnswer: 2*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4270 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**3 + 5*z**3 - 4*z**3)*(-64 - 39 - 28 + (-2 - 2 + 18)*(-3 + 3 + 2)).\nAnswer: -103*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -8041739.273 - 1.11?\nAnswer: -8041740.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 255*f - 576 - 595 = -406 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 785 a factor of 2356644575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25675 divided by -5.\nAnswer: 5135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 179, 180, 181, 182?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dyddnyydydnndynddyd. What is prob of sequence dn?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/10 - (-9)\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 4054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28 and 2198?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 850741 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 2*m - 33203, -83018 = -5*m - j + 2*j. Does 123 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 181*f**5\/5 + 5892*f**4\/5 + 4642*f**3 + 1992*f**2\/5 - 51687*f\/5 + 20412\/5 = 0?\nAnswer: -28, -3, 81\/181, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 36.497613 + -87.204256. Let g = x - -21.7066322. Let n = g - -29. What is n rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1865 + 4030. List the prime factors of a.\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5 and 3782480.\nAnswer: 3782480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 8 - 7 - (-6 + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -28\/17  (b) 0.3  (c) 470  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 49?  (a) -9  (b) -0.6  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 110 - 34. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 4*y**2 + y - 3. Suppose 4*o - 8 - 8 = 0. Let q = -24 - -34. Calculate the lowest common multiple of q and u(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-12)\/20 + 1039685\/350. Let o = v + -2977. Find the common denominator of o and 43\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 430985.\nAnswer: 5, 86197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8940973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/5*t**2 + 1899\/5 + 624\/5*t.\nAnswer: -3*(t - 211)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2\/11*y**2 + 6\/11 + 8\/11*y = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 327 from -849.61068.\nAnswer: -1176.61068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*w - 33 = 47. Let f(o) = o**2 + 11*o. Let k be f(-8). Let d = w - k. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001693022 to seven dps.\nAnswer: 0.0001693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -31, -1\/6, 0.3, 1\/48, -0.3, -5\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28.41868m to kilometers.\nAnswer: 0.02841868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4812 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-188)\/28 + 7 + (-78)\/(-21). Let u(l) be the first derivative of 0*l + 0*l**2 + 5\/3*l**3 + 5\/4*l**4 - t. What is the third derivative of u(w) wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 529314 and 101358?\nAnswer: 4763826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 383 <= 382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(24\/4))\/((-3)\/63)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 278.\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*j + 35*j + 123 = 0. Let f(o) = -o + 11. Let z be f(5). Suppose -z = 4*i - 30. Solve i = 3*q - j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1958 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 5 + 6 - 58*s**2 - 5 + 120*s**2 + 2*s - 57*s**2. Let o(z) = -2*z**2 - z - 3. Determine -13*o(j) - 6*x(j).\nAnswer: -4*j**2 + j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 + 6*c**2 - 5*c - 3. Let y(d) = 2 + 0 - d - 1. Let o(j) = s(j) - 4*y(j). Let a be o(-6). Let u(m) = 2*m**3 + m**2 + m. Determine u(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 45*y. Suppose 0 = -3*l + 133 - 124. Let u(i) = 0 - l + 3 + 2*i. What is u(r(g))?\nAnswer: 90*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.001 + 5.001. What is the nearest to -2\/7 in s, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -43*v**2 - 1. Let n(o) = -5*o**2. Give q(n(y)).\nAnswer: -1075*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/9, 0.1, -1.5746, 1\/121?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a + 55 - 55)*(0 - 4 - 2 + (-4 + 4 + 2)*(-4 - 1 + 4) - 13 + 2 + 5).\nAnswer: 56*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*u + 10279 = 0, -2*g + 13184 = 5*u - 7330. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of -w**4\/6 - 2*w. Let p(k) = 13*k**2 - 4. Let r(a) = -9*a**2 - 1. Let s(m) = -p(m) - 2*r(m). What is n(s(b))?\nAnswer: -50*b**4 - 120*b**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 12 = -y. Let r(a) = 2*a**2 + 7*a - 1. Let v be r(-4). Solve -v*c + 5*q = 13, -c + 6*c = -4*q + y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 + 20. Let a = 39 - c. Sort 0, -4, a in ascending order.\nAnswer: -4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8860882 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 36920*q**4 + 2*q**2 + 43412*q?\nAnswer: 443040*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9794022 by 294.\nAnswer: 33313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75052 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4524142 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 484.507 in -8, -2, 5, 2, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**2. Let h(l) = l - 1. Let o(j) = -11*j - 6. Let v = -3 + -3. Let u(m) = v*h(m) + o(m). Calculate u(t(c)).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -6*k - 10. Let j(g) = -5*g - 8. Calculate 4*j(t) - 3*y(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 16085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 176, 180, 186, 194, 204, 216?\n\"Answer: m**2 + m + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3596 + -3466. What is the greatest common factor of 182 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 5*r**2 + 8*r + 4. Let m(s) = -6*s**2 - 9*s - 5. Suppose 3*a - 2*u - 13 = -0*u, 3*a - 5*u = 10. What is a*d(f) + 4*m(f)?\nAnswer: f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.08, -1\/23, 0?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 15*h**2 + 492*h + 3396. Let b(s) = -6*s**2 + 98*s + 9*s**2 + 280 + 345 + 54. Let i(y) = 21*b(y) - 4*d(y). Factor i(p).\nAnswer: 3*(p + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13867113700 rounded to the nearest one million?\nAnswer: 13867000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 0 - (17 - 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14749, -14752, -14743, -14722, -14689, -14644?\nAnswer: -14587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1816518831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23916 is divided by 153.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 z when three letters picked without replacement from jzjv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 0.040392\nAnswer: 0.121176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122*w + 265 = -117*w. Let x = 8 + -6. Suppose 0 = -x*z + 49 + w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78907.48 litres in millilitres?\nAnswer: 78907480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = -2801*d + 2799*d - 30, 0 = -2*z + d + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/5, -0.21, -18, 4423, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 585\/(-25) + 3\/(-5). Let n = 34 + b. What is the highest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 425 divided by 1465150?\nAnswer: 17\/58606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**4\/5 - 21864*i**3\/5 + 460353*i**2\/5 - 833226*i\/5 = 0 for i.\nAnswer: -7309, 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -305829219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 0*y + 3*y = 180, 3*b + 2*y + 127 = 0. Let j = -40 - b. Let l(w) = 6*w**3 + w**2 - 1. What is l(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1882000 rounded to the nearest ten thousand?\nAnswer: -1880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*a - 162 = 0. Suppose -u + f + 1 = 0, 3*u - 5*u - 3*f + 27 = 0. Calculate the greatest common divisor of u and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 317 = 58. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t**(-1\/6))*t)**43*t**(-27)\/t*t*t*t*t\/t**27*t*t assuming t is positive.\nAnswer: t**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -9*r - 10. Determine t(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -66 or -62\/25?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10179 <= 9984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*o + 3*o + 3*o)*(-5 + o + 5)*(-4 + 4 + 1).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.8004 * -321.\nAnswer: 1861.9284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, w: 1, g: 1, v: 2}. Give prob of picking 1 g and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/p**7)**38 assuming p is positive.\nAnswer: p**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/6 + 1)\/(8\/48). Suppose -u*a + 4100 + 3257 = 0. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 706865115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 432960 divided by 33\nAnswer: 13120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 907 - 549. Suppose -5*c - i = -3*a, 4*c + 778 - 203 = 5*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -58*o - 549. Calculate q(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 - 4*l + 31*l - 13*l + 3*l**3 - 13*l as f*l**2 + i*l + r + o*l**3 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - k = 30. Suppose -4*w = -k*w + 66. Suppose 10*y = 9 + w. Solve 0 = 3*q + y*x, -2*x - 17 = -q + 3*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 4*z = 88, 2*z + 59 = -3*t - 2*z. Let a be (-7)\/t*3 + -1 + 2. Suppose a*r - 70 = -6. Solve 0 = -4*i + 3*f - r, i + 25 = -0*i + 5*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -818 by 3.\nAnswer: -818\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + k = 5 - 38, 5*v - 60 = -5*k. Suppose 4*u + u = 25. Suppose v = u*w - 6. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/9  (b) 5  (c) -0.4  (d) 1\/6  (e) -2\/691\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 460780519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 76, 76, 84, 106, 148?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g**0)\/g)\/g**(-9))\/(g**(1\/4)*g)**(-21\/5))**(2\/3) assuming g is positive.\nAnswer: g**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 + 43. Suppose -1 = -9*c - y. What is the closest to c in 4, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*3588.\nAnswer: 358.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5327427934 to the nearest integer?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -779*f**4 + f**3 + 18425*f**2 + 371854090 wrt f.\nAnswer: -3116*f**3 + 3*f**2 + 36850*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 5*i - 1240 = 0, 4*m + 251 - 1912 = -i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 980420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-8)*-11*((-6)\/12)\/(-1)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1122 and 8568?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -147\/5993?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of 0*b**3 + 0*b - 4*b**2 - 1\/12*b**4 + 0. Let v(l) be the first derivative of -l**2 + 2. Calculate h(v(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-1\/20))\/(g*(g\/(g*g**(-1\/40)))\/g))**26 assuming g is positive.\nAnswer: g**(481\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(288) + sqrt(288) + 6*(sqrt(288) + 0)**2).\nAnswer: -5184 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 47\/3  (b) -2  (c) -11  (d) -2\/3  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 3.748.\nAnswer: 7.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 59.8  (c) 20  (d) 2  (e) 0.05  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 989981822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 + 4*f + 1. Let j be m(2). Suppose j*p + 181 = 6*c - 4*c, -23 = p + 4*c. Calculate the common denominator of 248\/p - (-8)\/(-40) and 81\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -148*t**2 + 381*t**2 + 1060*t**2.\nAnswer: 1293*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -2\/19  (b) 2\/13  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sxs when three letters picked without replacement from {e: 3, s: 4, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 6*l**2 - 265*l - 1100. Let q be f(48). Let t(a) = a**3 - 2*a**2 - 3*a - 11. Calculate t(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {q: 5, l: 2, i: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*a - 626 - 166 - 5*a - 2*a.\nAnswer: 2*a - 792","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - 1. Let x = 3487 + -3491. Which is the closest to k?  (a) 50  (b) -0.3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(520) + sqrt(520))\/sqrt(10))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4522 and 836?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.4, 0.13, -0.08 in decreasing order.\nAnswer: 0.13, -0.08, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1485, -1483, -1481, -1479, -1477?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, u: 1, k: 1, v: 2, l: 1, s: 2}. What is prob of picking 1 x, 2 s, and 1 u?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (6\/4)\/((-18)\/(-432348)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -70*h - 2587. Let t be n(-37). Solve 4*c - t = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + p. Suppose -14 = -4*u + 6. Let s be (-2)\/4 + u\/2. Solve p = -x + 2*x + s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16833683 by 6.\nAnswer: 16833683\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, t: 1, k: 2, u: 2}. What is prob of picking 1 u, 1 r, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 51 + -21. Suppose 0 = 2*n + 8, -5*t + t = 2*n - 56. Calculate the remainder when j is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rprp when four letters picked without replacement from prrrcppccccprpc?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 80220.55 nanoseconds?\nAnswer: 0.00008022055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + ((-3070)\/205 - -17))*2.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 2*s**2 + 2*s + 3. Let n be h(-2). Let l(j) be the second derivative of 5*j**4\/6 - j**3\/6 - j. What are the prime factors of l(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*w*y**3 - 15*w*y - 218*y**4 - 38*y wrt y?\nAnswer: 18*w*y - 2616*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(99)*1 - sqrt(99))\/(2*sqrt(225)))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2 - 20*p.\nAnswer: -2*p*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 12*g**3 + 14*g**2 - 28*g - 14. List the prime factors of c(9).\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 101495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -12500.8 to the nearest 100.\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*s + 56*s + 23*s)*(8*s - 14*s + 22 + 7*s).\nAnswer: 92*s**2 + 2024*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - -3. Let h be 5\/(-10) + (-2)\/u. Let w be 4\/(-14) - (-1 - h). Is w at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4578918 to the power of 1\/2, to the nearest integer?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 9212 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 10071 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tnmmnmpttnzmmzxzz. Give prob of sequence mntt.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2040130 + 2553?\nAnswer: -2033133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -7\/3, -30, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 318605.\nAnswer: 5, 7, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, a: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04550503 to four decimal places.\nAnswer: 0.0455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136581.\nAnswer: 3, 53, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11170)\/(-65) - (-2)\/13. Let i = 43 - -86. What is the greatest common factor of y and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of o**6\/120 - o**5\/20 - 7*o**4\/24 - 4*o**3\/3 - 79*o**2. Calculate the least common multiple of x(5) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 10, 503\/2 in decreasing order.\nAnswer: 503\/2, 10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 0 - (41 + -26 + -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1212 + 2?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1050, -1063, -1076, -1083, -1078, -1055, -1008?\n\"Answer: k**3 - 6*k**2 - 2*k - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 5*z + 3. Let w be j(5). Let u(a) = 69*a**2 - 5*a + 4. Let l be u(w). What is l rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 1 = -3. Solve r*z = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of -f**7\/14 + 3*f**5\/10 - f**3\/2 + f - 2. Let v(q) be the first derivative of h(q). Let v(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10034 + 1?\nAnswer: 10035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*y**3 + 3*y**3 + y**3)*(3 + 1 - 3)*(1 - 6 + 4) to the form k*y**2 + r*y**3 + c + u*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 3*i, f - i - 6 = 2*f + 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-a + 2*a + a)*(-5*a + a + 2*a) + 3*a**2 + 1 - 1 to the form x + p*a**2 + q*a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 + 20. Let y(x) = -x**3 - x**2 - x. Let q(d) = 10*d**3 + 8*d**2 + 10*d - 2. Let s(z) = 2*z**2 - 1. Let m be s(1). Give f*y(u) + m*q(u).\nAnswer: 2*u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -5*t, 0 = 71*t - 67*t + f. Solve 7*g + t*g = -28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 96*y - 99*y - 15*y + 1 - 3 - 119*y in the form u + w*y and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 - o + 2. Let v(w) = -w**2 - 11*w - 9. Let a(g) = -2*l(g) - v(g). Let s(u) = u**2 - 7*u - 3. Calculate 3*a(q) + 5*s(q).\nAnswer: 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 8:51 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 102011011 (base 3) in base 10?\nAnswer: 8131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 2 + 6. Suppose -3*r + d*r + 28 = 0. Let j be r\/6*18\/(-12). Let u(y) = -3*y**2 + 4*y + 4. Let a(l) = -5*l**2 + 7*l + 7. Determine j*u(c) + 4*a(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**50*j\/(j*(j*j*j*j**46)\/j))\/(j**(1\/6)*j**7\/j) assuming j is positive.\nAnswer: j**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31 + 31. Which is the nearest to -1?  (a) -1\/5  (b) -3\/13  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -262930, -262931, -262932?\n\"Answer: -y - 262929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 - 664 = -14*z + 2978. Calculate the highest common factor of 3763 and z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 20 = 0, -3*v + 5*y = -7*v - 4. Suppose v*t = t + 54. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 2, -7, 3, 4, 1019 in decreasing order.\nAnswer: 1019, 10, 4, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 567\/4 + -142. Which is bigger: 24 or z?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/49?  (a) -2.38  (b) -1\/4  (c) 2\/11  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.38 + 5.38. What is the second smallest value in -7, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h + 16025*h**2 + 6247*h**2 + 2*h - 5502*h**2.\nAnswer: 16770*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) 2\/9  (b) -2  (c) 5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = 5*d - 3, 0 = -2*d + 3*t - 1 - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 - h - 4. Let x be f(-2). Solve 3*k - x*n = -4, 3*k + k = 4*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 15 = 4*p. Let s = -11 + p. Suppose 5*b = 3*f + 41 + 45, -4*b - 2*f = -60. Calculate the lowest common multiple of s and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q + 58 - 58 + 3*q**2 - 19*q**3 - 3*q**2. Determine v(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 50 - 4 - 434 + 145 - 596 - 2*m as d + n*m and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from 80.51.\nAnswer: 84.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -20221121313 (base 4) to base 7\nAnswer: -25160403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 20 = -2*a, 48 - 119 = 2*w - 5*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(o**(-2\/11)*o)*o**(-2)*o)\/(o**3*o**(-5\/3))*(o**(-2)*o\/o**(-1))\/(o**(3\/8)\/(o*o**(-3)\/o*o)) assuming o is positive.\nAnswer: o**(-931\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33 - -37. Solve -5*r - 22 = -3*i + 18, n*i - 20 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 w, 1 y, and 1 j when four letters picked without replacement from yawdwjyjjwywwewyjdaw?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/3*72\/168.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 2. Suppose -q + 4*s - 6 = 0, -1 - 1 = q - 2*s. Suppose -14 = 2*o - h, -o + q*h = -0*h + 13. Which is the closest to v?  (a) o  (b) -1\/5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1593827 by 37.\nAnswer: 1593827\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*t + t**2 + 21*t)*(-27*t**2 - 20*t + 20*t + (-2*t + 3*t + 0*t)*(-3*t + 0*t - 3*t))*(0*t - 2*t + 0*t).\nAnswer: 66*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 314 + 718 = 0. Is 43 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 598*q**2*w**4 + 128*q**2 wrt w?\nAnswer: 2392*q**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 12, c: 5, f: 1}. What is prob of picking 3 c and 1 n?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7140.951 millilitres in litres?\nAnswer: 7.140951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*(w**9*w)\/w*(w\/w**(3\/7))\/w*w**7*w*(w*w**(-6))\/w assuming w is positive.\nAnswer: w**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/161704000 and 77\/1160?\nAnswer: 161704000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -2878, -96, 5 in decreasing order.\nAnswer: 6, 5, -96, -2878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*n**2*z - 66*n*z - z - 559 wrt n?\nAnswer: 4*n*z - 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (27\/18)\/(66\/(-8)). Are -1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -3*j + 27. Let t = j + -5. Solve -d + 1 + t = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + (2\/56)\/((-3)\/(-92)). Let s = b + -37\/21. What is the nearest to 1\/3 in 2, s, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, q: 1, c: 1, p: 1, g: 1}. What is prob of picking 2 u and 1 c?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -7, 5*x = -31*m + 26*m + 11785. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -74 times -156?\nAnswer: 11544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -8*o. Let h(g) = -6*g**2 + 3*g + 3. Let w(m) = -11*m**2 + 5*m + 5. Let b = -37 + 42. Let l(r) = b*h(r) - 3*w(r). Give j(l(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, 12, 0, -2 in descending order.\nAnswer: 12, 4\/5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 833 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2422 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -5098*i**4 + 3*i**3 - 2*i**2 + 728. Let w(l) = l**4 + l**3 + 1. Let k(v) = f(v) - 3*w(v). What is the third derivative of k(r) wrt r?\nAnswer: -122424*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -169*w**2 - 39*w - 11. Let m(c) = -84*c**2 - 18*c - 5. Let l(j) = -13*m(j) + 6*u(j). Let k = -3 + 2. Does 11 divide l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h**3 - 26*h**2 - h**4 - 5*h**4 + 28*h**2 + 2*h**3 to the form o*h**2 + f*h**3 + i + s*h + m*h**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 150, 1563, 5448, 13041, 25578, 44295?\nAnswer: 70428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 3. Suppose 0 = 39*z - 42*z + 4*v + 193, 4*z - 262 = 3*v. Put z, 3, f, -3 in descending order.\nAnswer: z, 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/4827564479 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1474241.\nAnswer: 1474241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -48831270 divided by -9766254\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2341 - 60)\/(3 + 1)*4?\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -1111011011110101000?\nAnswer: -1111011011110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 21, 81.6, -688.1, 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 6, m: 5, a: 2}. Give prob of sequence am.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 16 + 3\/(6\/(-2)). Suppose 0 = r - 6*r + f. Sort r, -1, 0 in increasing order.\nAnswer: -1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 746 divided by 2?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 4*w**2 - w - 4. Suppose 6 = -165*x + 162*x. Determine a(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 72427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 175467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wu when two letters picked without replacement from uwwuwuwuuwwuwuuwuw?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do -5340974 and 0.8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 98.6 + -107. Let b = 8.39885 + o. Round b to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28 + 28 - 87*n**3.\nAnswer: -87*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, -42, -22.\nAnswer: -42, -22, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 23.26 and -0.1188?\nAnswer: -2.763288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -3. Let t be 1*(0 + 37)*1. Suppose -4*w + t = b, -119 = -d*b + 2*w - 44. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-480)\/360*((-27)\/(-12) + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-5)\/(-10))\/(54\/(-12) - -5). What is the remainder when 83 is divided by h\/(32\/30 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 11*q - 2. Let v be o(6). Suppose -p + v = -3*t, 2*t + 22 = 2*p - 90. Calculate the greatest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 5*x + 0 - 4 = 0, 5*b - 10 = 4*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2461034.499977 + -2461048.3. Let j = r + 13.8. Round j to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 703\/10?\nAnswer: 703\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, y: 4}. What is prob of picking 4 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 39*72\nAnswer: 2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/6, -51\/7, 1 in decreasing order.\nAnswer: 1, 5\/6, -51\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 4 + 2 - 283*h + 48*h - 4 to c + a*h and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - u**2 + u + 1. Suppose 0 = 5*d - 6 + 1. Let c(h) = h**3 - h**2. Determine d*p(a) - c(a).\nAnswer: -2*a**3 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**3 - o**2 + 2*o + 2. Determine p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (58 + 43 - 6)*(x**4 - x**2 - 4 + 4) in the form u*x**3 + w*x + m*x**4 + v*x**2 + t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 43786625461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2 - 175134*k - 700488.\nAnswer: -3*(k + 4)*(k + 58374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o + 98 = 410 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58 - -60. Suppose -q*z = 6*z - 192. Let v = z - 8. Calculate the remainder when 63 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**2\/6 + 5*d + 75\/2 = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 - 15*d - 16. List the prime factors of v(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 59307 and 2446880.\nAnswer: 389053920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2 - 60*j - 1428. Give z(-24).\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -285 = -32*o - 125 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 2580 = 4504. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 397 divided by 1\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -3*z**3\/8 + 2569341*z**2\/4 - 10277355*z\/8 + 1284669\/2 = 0.\nAnswer: 1, 1712892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4414 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*v - 1515167 - 1123243 = 0. Is v a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -36878480 to the nearest 100000.\nAnswer: -36900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l. Let n(b) = 131*b. What is n(m(q))?\nAnswer: -262*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j + 6 - 6 + 3 + (j + 2*j - 5*j)*(2 + 4 - 4).\nAnswer: -5*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35) - (sqrt(315) + (-4*sqrt(315) - sqrt(315))))\/(5*sqrt(5)*-4).\nAnswer: -13*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, a: 1, s: 5, q: 3, u: 3, e: 1}. Give prob of picking 1 e and 2 b.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, -158, -1, 4, 164 in ascending order.\nAnswer: -158, -1, 2, 3, 4, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -54020 + -1?\nAnswer: -54021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4738 is divided by 1525.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*a*o**4 - 2*a*o**3 + 5*a*o**2 - a*o - 17*a + 92654*o**3 - 319*o**2 wrt o?\nAnswer: 96*a*o - 12*a + 555924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 5 = 2*i - 2*w, -4*w - 8 = 0. Let t be -4331 - (i\/(-6))\/((-4)\/8). Round t to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4593*n - 1155*n - 10696 = 6548 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 836027800 to the nearest one million.\nAnswer: 836000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 312 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do -114128 and -114129 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {b: 2, u: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkolagl. Give prob of picking 1 g, 1 k, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 - 19*s - 79. Calculate j(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*k - 135*k = -184*k + 3816 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(76) + sqrt(19))*-3.\nAnswer: -9*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7917736907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 205332*b**4 + 1498*b + 27 wrt b.\nAnswer: 2463984*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 39 - -88a?\nAnswer: 8c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -1373*a - 290206. Determine r(-211).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(-5)*r**(-3\/7))\/((r**(-1)*r)\/(r*r**(-5))))**(3\/7))**45 assuming r is positive.\nAnswer: r**(1485\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in 3, 0, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 2*t + 4. Suppose -5*u = 2*q + 18, u + 4*u + 5*q = -15. Let l be n(u). Is (-178)\/l*2 - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -389128, -778264, -1167400, -1556536, -1945672?\n\"Answer: -389136*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16392*g = 16582*g - 4560 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -159 + 52. Let c = q + 164. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: e5a0a (base 15) to base 6\nAnswer: 23333501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3900 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -7*r + 5*a + 14, 3 = 5*r + a. Sort -5, r, 4, -2\/3 in ascending order.\nAnswer: -5, -2\/3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/10 + (-3)\/20*4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89843*x**3 + 44906*x**3 + 44931*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/18)\/(3\/(-18)*-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of m**5\/60 + 21*m**2. Let x be c(3). Solve -x*y + 4*y = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) 1\/9  (c) 4\/5  (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -3*o**4 - 1659*o**3 - 39954*o**2 + 609696*o + 1365984 = 0.\nAnswer: -527, -36, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44) + sqrt(176)\/sqrt(4) + (2*sqrt(99))\/sqrt(9) + (2*(sqrt(121)\/(sqrt(77)\/sqrt(7)) - sqrt(11)))**2.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**4 + 2*s**3 + s**2 - s + 1. Let w(l) = 4*l**4 + 6*l**3 + 3*l**2 + 39*l - 790. Let u(t) = 3*h(t) - w(t). What is the first derivative of u(y) wrt y?\nAnswer: -4*y**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8380, -16824, -25304, -33838, -42444?\nAnswer: -51140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(1\/5))\/p)\/p)**(-1\/10)*p*p\/p**(-1\/2)*p\/((p\/((p*p**(1\/4))\/p))\/p) assuming p is positive.\nAnswer: p**(383\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15194050 is divided by 3798504?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1047, -1359, -1885, -2631, -3603, -4807, -6249?\n\"Answer: -c**3 - 101*c**2 - 2*c - 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131327 + 110436 + 121325 = 8252*i for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 1, 2*n - t - 9 = n. Let p(h) = h - 9. Determine p(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3\/3 + 2182*z**2 - 73610*z + 1872142\/3.\nAnswer: -2*(z - 3239)*(z - 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -1001*j - 1. Suppose 3*g + 4 = 1. Let a be q(g). Round a to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 32\/9 and -89\/3354.\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 19) + 11 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of 1\/3*x**3 + 0*x - 1\/12*x**4 + 3*x**2 + 0. Differentiate s(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136 is divided by 121.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16\/741 + 14708\/5187. What is the second biggest value in 4, -9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1047 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.388276 + 48275500.388276. Let y = t - 48275521.000003. Let a = -21 - y. Round a to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 224 and 1456?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (140\/(-80))\/((-6)\/(-32))*(-3)\/(-2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6158468 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q + 1. Let m be b(2). Suppose -4*u = m*p - 10, u = 3*u - 5*p - 18. Suppose 6*j = u*j. Solve -w + 4*w = j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in ten thirds of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(243) + (1*sqrt(243) + -1)**2)*-4 + -3 + sqrt(243) + 1*sqrt(243) + sqrt(243) + sqrt(243) + sqrt(243) + 0 + -5 + 5.\nAnswer: -979 + 81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 5*s + 4742 = 4604 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3255 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 792 + -323. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130\/8*(30 + (-3473)\/115)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*g + 575*v - 566*v + 29, 2*g = 5*v - 71 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*x + 17 = 3*s + 133*x, 2*s + 3*x - 23 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 108*b**3 - 2*b**2 - 101*b**3 - 5*b**2 wrt b?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(-1 - 2*k**5 + 1) - 4*k**3 + 2*k**5 + 4*k**3 - k**3 + (267*k - 690*k + 342*k)*(k**4 - 3*k**4 + k**4).\nAnswer: 85*k**5 - k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of 0*h + 0 + 20\/27*h**4 - 4\/9*h**5 - 5\/189*h**7 + 4*h**2 + 1\/504*h**8 - 16\/27*h**3 + 4\/27*h**6. Solve p(j) = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1304*l*o*x**2 - 2*l*x**3 + 331*l*x + 90*o*x**3 + 5083*o*x wrt x?\nAnswer: 2608*l*o - 12*l*x + 540*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23*p**2*z**2 + 2*p**2 - 6*p*z**2 - 7795*p*z - p - 22*z**2 wrt z?\nAnswer: 46*p**2 - 12*p - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5335230.\nAnswer: 2, 3, 5, 177841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 PM and 6:56 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1312 - -2a4?\nAnswer: 15b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from lsslsslsssssllslssl.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the first derivative of 3805*h**6\/3 + 222*h**3 + h**2 + h + 2298. Find the third derivative of z(u) wrt u.\nAnswer: 456600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 30\/6 - (2*-6)\/(-3). Let v = 1015 + -974. What is the highest common factor of v and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 6481860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 14 = -2*c, -12 = m + 3*c + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (3 - (-4 - -11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of 0*a**4 + 0 + 1\/15*a**5 - 1\/3*a**3 - 5*a**2 + 0*a. Find the first derivative of u(m) wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/2 - 22*p + 318741\/2.\nAnswer: -(p - 543)*(p + 587)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -58\/207 and 73\/322?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2755*p + 4513*p + 12482*p to the form z + v*p and give v.\nAnswer: 14240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(44))\/sqrt(2) - (sqrt(1078) - (sqrt(1078) - -2*sqrt(1078))))\/(sqrt(176)*2 - sqrt(22)\/sqrt(2)*4)*-5)**2.\nAnswer: 4225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -333*y**3 + 106*y**3 + 112*y**3 + 110*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 = 19*k - 859. Calculate the remainder when k is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c + 7. Let y(t) = t**2 - 6*t + 4. Let p be y(3). Let d be j(p). Suppose -d*g = -g. Solve g = -4*r + 8 + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 332323 - -45522?\nAnswer: 422245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 48 = -3*f. Let i = f + 17. Suppose 8 - 3 = -i*g. Which is smaller: g or 3\/10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/(-3) - -4) + -78. Let j = i + 245. Suppose -4*r = -2*m + j, 3*m + r - 287 = -r. What is the remainder when m is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1773 + -1694. Calculate the highest common divisor of b and 1975.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94846837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 2*l = 8, 4*o - 7*l - 4 = -9*l. Suppose 2*p - 4*g - 40 = p, -2*p + 50 = o*g. Let q be 25 - (0 + -2*1). Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of -2*l**3\/3 - 33*l**2\/2 + 18*l. Let r be b(-7). Suppose 8*k = 6*k + 6. Sort r, -4, k in increasing order.\nAnswer: r, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.67 - -7.67. Which is the nearest to -0.77?  (a) o  (b) 2  (c) 13  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - 1) + 28\/9. Which is the second biggest value?  (a) 0.3  (b) z  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 371786004 less than 371786006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -110, -218, -326?\n\"Answer: -108*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -346881, -1388056, -3123335, -5552712, -8676181?\nAnswer: -12493736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7065637?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -85228, -170455, -255680, -340903?\nAnswer: -426124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/((0 - -3)\/(-3)). Suppose -3*y + 33 - 9 = f. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06394314 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i + 1. Let w be f(-6). Let o = 5 - w. Calculate the remainder when 28 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - g**3 - 4*g)*(0 - 1 + 6 + 6*g).\nAnswer: -6*g**4 - 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -79?  (a) -2  (b) 2\/9  (c) 0.5  (d) 119  (e) 0.3  (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14729765 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/7)*h**(-4))\/(h\/((h**0*h)\/h))**(-3))\/((h**(-2\/15)*h)\/(h\/(h\/(h\/(h*h\/(h*h\/(h**5\/h))*h))))*h**0\/(h*h**(-6))) assuming h is positive.\nAnswer: h**(-1111\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.41 - -2.59. What is the closest to 1 in -5, p, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - -12. Let z be o\/6 - (-3)\/9. Suppose 4*r - 4*g = 16, 4*g - 5 + 3 = -5*r. Sort 4, r, z.\nAnswer: r, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*a**3 + 2773*a - 8*a**3 - 2773*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 + 790*v**2 - 59315*v + 930. Give b(84).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 6. Let i(b) = b**3 - 4*b**2 - 6*b + 10. Suppose 12*l + 15 = 15*l. Let t be i(l). Solve -2*q - 2 = -5*q + 4*s, -t*q = x*s + 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (13 - (25 - 24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (32\/3)\/(5\/(-60)). Let g = 188 + z. Suppose 0 = 4*j + j - g. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, n: 2, h: 4, e: 2, z: 1}. What is prob of sequence hegh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1116, -1198, -1334, -1524, -1768, -2066, -2418?\n\"Answer: -27*m**2 - m - 1088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 82259077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 124816\/20 - 40\/50?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t**2 - 1255*t + 136530 = 0. Calculate t.\nAnswer: -333, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 19\/((-14896)\/32)*(-2)\/(2\/7). Find b such that -4\/7*b**2 + 2\/7 - i*b = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 30*i - 44. Let k be p(2). Let s be 2*-2*(1 + (-36)\/k). Solve s*y - 7*y - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 14*o**2 + 2*o**5 - 8\/3*o - 22\/3*o**3 - 10\/3*o**4 - 8\/3 = 0.\nAnswer: -2, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -385*z + 388*z = 2*d + 2463, z + 2451 = -2*d. Which is smaller: 1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23920331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-20) - (-4014)\/180 - 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 243 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 130358437331 - 43906076398. Let b = 86452360868.999999917 - c. Let f = b + 64. Round f to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, -43, -203, -527, -1069, -1883?\nAnswer: -3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 211*v - 211*v + 228*v**3.\nAnswer: 228*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 1685412\nAnswer: -1\/842706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 + t**2 - t + 1. Let a(q) = 5*q**3 - 4*q - 3. Let v(f) = a(f) - 4*w(f). Let s be v(5). Suppose 0 = -2*o - o + s. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n - 4*n - 3*n)*(0 + 0 + 2) + 2 - 1 - 466*n + 481*n.\nAnswer: 11*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 1 + -2 + (5 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yuuuj. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93 = 89*q - 564 + 123 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/4618 or -1?\nAnswer: -1\/4618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeegeege?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 - 3 + 3 + 0*o**2. Let s(p) = p + 3. Let l(m) = -m - 4. Let f(d) = 3*l(d) + 4*s(d). Calculate b(f(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 1  (b) -6.6  (c) -2\/3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -11. Let j = 8 + z. Suppose -4*t + 4*i + 21 = 61, 4*i - 10 = -2*t. What is the smallest value in j, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -7*a**3 - 6*a**2 + 6. Let s(u) = 7*u**3 + 5*u**2 - 5. Give 5*d(x) + 6*s(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -38 + 42 - (0 - 7) - 6 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -646 = 31*q - 2506. What is the least common multiple of q and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01469 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 448*k**2. Let x(v) = 49290*v**2. Calculate g(x(l)).\nAnswer: 1088417836800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.63241 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + 8 - (-255)\/(-10))*58\/(-87)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q*q\/q**12)\/q*q)**(29\/4) assuming q is positive.\nAnswer: q**(-261\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37746205.\nAnswer: 5, 7, 17, 63439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nononoooon. What is prob of picking 2 o and 2 n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = c + 4 - 3, -5*z - 5*c = 5. Let s be 0 + 3 - (z + 1). Let l(v) = -2*v**2 - s*v**2 + 0*v**2. Let y(u) = -2*u. Give l(y(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -k + 30. Let o(q) = -q**3 + 4*q**2 + 12*q + 5. Let n be o(k). Suppose -5*f = -n*p + 450, 3*f + 5 = -1. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 - -13. Let y(f) = 54*f**2 - 2*f + 1. Does 20 divide y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4, f: 7, l: 2, y: 5}. Give prob of sequence yyf.\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 213373 and 7223?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/6*15\/(-10). Is (11 - 16)\/(1\/y) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of h**3\/6 + 43*h - 1. Let n(i) = 15*i + 13. Let v(u) = 7*u + 6. Let a(f) = 6*n(f) - 13*v(f). Determine a(b(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 110*j**2 - j. Let i(y) = -9*y**2. What is v(i(q))?\nAnswer: 8910*q**4 + 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-7 - (-1 + -10))\/1. Is (-6 - 4 - -8)*(-54830)\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*u - 10. Suppose 2*y - u*y = -12. Suppose 5*h - 2*q - 2*q + 10 = 0, -q - 1 = -3*h. Solve 19 = -z - 2*l - h*l, 7 = -y*z - 2*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 333 or 354?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*n - 0. Which is the nearest to -4\/7?  (a) 2\/3  (b) n  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 + 5*f**2 + 6*f + 4. Let q be t(6). Let y(d) = -93*d**2 - 8184*d + 8. Let i be y(-88). Sort -3, 0, i, q in descending order.\nAnswer: i, q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*f + 49 + 806 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1456 or 1457?\nAnswer: 1456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3\/85, 5, 21380, -1, 2?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 155\/(-20) + ((-306)\/8)\/(-17).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3961 - 4?\nAnswer: -3965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*i**4 + 4*i**2 + 3*i - 14 wrt i?\nAnswer: 60*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 141406199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -28*k**2. Let t(o) = o. Give t(u(p)).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 315 + -312. Let d(o) = o - 2. Let u(r) = -4. Let c(p) = -9. Let w(j) = -6*c(j) + 13*u(j). Calculate z*w(k) + 2*d(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**3 + l**3 + 2*l**3 + (3 - 3 - 3)*(-3*l - 2*l + 3*l)*(0*l + 0*l + 2*l**2).\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -187 - -256. Calculate the lowest common multiple of 10 and h.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*l**2 + 7116*l - 38751?\nAnswer: 12*l + 7116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 6:07 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.7345285 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13857 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = 155 - 131. Let k(q) = -14*q - 50. Let s be k(a). Solve 2*f - 20 = s*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 - 8 - 7 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3297, 12626, 28241, 50196, 78545, 113342?\n\"Answer: 9*v**3 + 3089*v**2 - v + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14388 and 7920.\nAnswer: 863280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -y + 13, -4*y + 8*y + 2*p = 38. Suppose 5*v = -3*o - 70, -3*v = o + v + 21. Let n be o\/y*(-2)\/1. Are n and 5 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 - 7*y + 10. Let x be d(-8). Suppose -2*v - x*v - 8 = 0, -q + 1 = 2*v. Let g = q + 0. Solve 4*j = -0 - 16, 5*m = -g*j - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, j: 4, p: 1, e: 2, y: 2}. What is prob of sequence ey?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -13*24\/(-104)*(-8)\/264\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 6:05 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 256.6 - 256.701. Which is bigger: b or -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-46)\/(-6) + -3)*45. Suppose 4*k - u = -k. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**3\/l)\/(l*l**(1\/4))*l**(-1\/8)*l**3)\/((l**(1\/5)*l)\/(l*l**(-1\/3)))**(-35) assuming l is positive.\nAnswer: l**(535\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 2\/7  (b) 2  (c) 0.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 146.612 + 1.088. Round y to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4696 * 0.05.\nAnswer: 234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-9) + 2108\/(-18). Is ((-3436)\/3)\/2*u\/78 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2236, -0.029, 24, 0.4 in descending order.\nAnswer: 24, 0.4, -0.029, -2236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -298*g**3 + 97*g**3 + 99*g**3 + 99*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*p - 183*f + 185*f, 0 = -2*p + 2*f - 2. Sort -5, -1, p, 26 in increasing order.\nAnswer: -5, p, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 74 - 71. Suppose 0 = d - 2*d - 14. Let r be d\/6*-1 - h. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(864) - sqrt(864)*-3 - sqrt(864))\/(-1*sqrt(12)\/sqrt(4)) + ((sqrt(72)*3 + sqrt(72))*4)\/(sqrt(9) + (-1*sqrt(1089) - sqrt(1089))).\nAnswer: -788*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3854935, -3854940, -3854945, -3854950, -3854955?\n\"Answer: -5*j - 3854930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12\/10)\/((-12)\/(-40)). Factor 25*w + 29*w + 18*w**3 + 43*w**2 - w**4 + 11*w**2 + 3*w**g.\nAnswer: 2*w*(w + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 + 14*w + 69. Is 5 a factor of j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -416\/175, 2, -2, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from onnoon. Give prob of picking 2 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16124 by -48.\nAnswer: -4031\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21 - -3 - (3 + -5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47535155 divided by 5.\nAnswer: -9507031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12*5\/(-135))\/(-1*1).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 19*i = -9*i - 8*i + 148, 5*c - 2*i + 132 = 0 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 17121.\nAnswer: -51363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1468 times 4\nAnswer: 5872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-4)*2*7\/(-7)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28732339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/128 and -25\/16.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1738723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 + 3*q**2 - 2. Let d(j) = -j + 7. Let v be d(5). List the prime factors of w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (3 - 6) - (3 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 535837284 and 1136.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 AM and 4:06 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -8946 and -17889\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 98\/(-8)*(-18414)\/(-587636). Let w = -6\/677 - m. Let -3\/8*y**3 - 3\/8*y**4 + 0*y + w*y**5 + 3\/8*y**2 + 0 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -93 + 93. Suppose z + 7*l - 2*l - 134 = m, -4*z + 554 = 2*l. List the prime factors of z.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3444044 (base 6) to base 11.\nAnswer: -111104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p - 4. Let a be b(5). Let s(o) be the third derivative of -o**4\/24 - 12*o**2. Calculate s(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -109886.4542178 - -0.347\nAnswer: -109886.1072178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.6 - -1.44. Let j = 0.04 - l. Are 0 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1678376 is divided by 167835.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 11. Suppose -h = -2*l - 13, -5*l = h + 4 + y. Let u(p) = -p**3 + 6*p**2 + 9*p + 4. Calculate the least common multiple of 12 and u(h).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.1  (b) 0.3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (5 - 2)\/(4\/(-24)). What is the tens digit of (5304\/h)\/(4\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 6:47 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 15*(-37)\/((-3441)\/(-217))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -24358253 or -24358255?\nAnswer: -24358253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + 1)\/(2 - 0). Suppose 3 = 2*u + 5*x - 41, 4*x = 2*u - 8. Let d be (u\/50)\/((-6)\/20). What is the biggest value in c, 3\/5, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence papz when four letters picked without replacement from aapzpzzpz.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 0*d + 3\/2*d**2 - 2. Let x(i) be the first derivative of -i**3 - 1. Determine x(z(s)).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 21*i - 2818 = 26*i, 4*i - 2800 = -2*r. Is 49 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 3*i = -39, 6*h - 3*i = 4*h + 3. Suppose -h*b + 25 = -b. Let c be 4 + (-4)\/1 - 78\/(-3). Solve b*n = c - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - y + (-2 - 2 + 2)*(-3*y + y + 3*y) - 1 - y + 1)*(4*y - 14*y - 11*y).\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = -4*y - 9, -4 = 2*y + 5*b + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 1 + 16 + -6 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -19, -61, -139, -265, -451?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i + 532504*i**2 - i + 1006357*i**2.\nAnswer: 1538861*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*d = 90*d + 6978 + 968 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 4*l - 17 = 0, 3*y - 6*l + 2*l = 1. Suppose 0 = 3*g - 10 - 2. Sort -3, g, y.\nAnswer: -3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 1 + c**2 + 10*c + 5 - 5*c + 3. Let p be o(-4). What is the units digit of 1\/(p*(-3)\/(-135))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2626 times 2\nAnswer: -5252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 9}. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 53 - ((2 - -5) + (8 - (31 + (-19 - -4))))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32 + -29. Suppose -y - l*y = -164. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84 = 75*z + 1059 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3*v + 3 + 21 = 0, 30 = 4*f - 3*v. Let o(b) = b**3 - 5*b**2 - 6*b + 8. Let j be o(f). Let q = j + 5. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -5*u + 92. Let z be a(17). Solve -4*l - 11 - 1 = 0, l + z = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -65*h - 9. Let z be i(-11). Suppose 5*j = 7*j - z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a millennium in decades?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 270747666 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a**5 + 280*a**4 - 46670*a**3 + 316460*a**2 - 670935*a + 400860 = 0. Calculate a.\nAnswer: -131, 1, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -47 + 2893. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -482 + 496 + 1 + 0 - (-72 + -3).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3522?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*t + 8*t + 17*t)*(2*t + 3 - 3) + 0*t**2 + 0*t**2 - 11*t**2.\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4777*m + 5267*m - 9611*m.\nAnswer: 433*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*d + 37*d = 7*k + 19*d - 94, -d = 3*k - 4*d - 39 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + 13*b + 25. Let n be l(-2). Suppose -n*t = -50*t. Solve -3*i - 6 = 2*p + p, i + 4 = t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k**4 + 22784*k**3 + 48555232*k**2 + 45883603968*k + 16222399511616 = 0. Calculate k.\nAnswer: -1542, -1306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 6*i + 5. Let c be b(7). Suppose 4*z - 4 = c. What is the third derivative of 4*k**2 + 18*k**4 - 18*k**z + 3*k**5 - 5*k**2 wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 4*u + 14. Let s be o(-8). Suppose -62 = -4*j + 2*j. Let w = j + s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 172511 is divided by 10725.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2786 or 2\/5?\nAnswer: 2786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from zqqzzqqzzqzzzzzzzzz?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5205548.34 + 1587?\nAnswer: 5207135.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of -4 - 5\/2*h**2 - 11*h. Find the first derivative of i(s) wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000419 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 600 = 8*s. What is the greatest common divisor of s and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 55 = -5. Let y be -188*6\/(-72) + 2\/(-3). Let r = y - x. Put r, -3, 2 in ascending order.\nAnswer: -3, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of d**9\/211680 - d**8\/70560 + d**5\/15 + 3*d**2. Let a(g) be the third derivative of c(g). What is r in a(r) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 314*s + 10234 = -40*s + 17*s - 4594 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*b = -11*b + 6. Is b != -1\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 14 = 4. Suppose 5*y - 16 - o = 0. Calculate the lowest common multiple of y and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 957 divided by 238845?\nAnswer: 319\/79615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 6 = 4*v + 6, 0 = -4*v + 4*o - 36 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 57*i**3 - 1378000*i**2 - 261033290*i wrt i?\nAnswer: 342*i - 2756000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = i + 7, 2*i + 17 = -2*v - i. Let h = 6 + -6.4. What is the third smallest value in 0.4, h, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4254839513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1460 = 4*i + 4*w, -i = -5*w - 104 - 231. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00010848554 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/3, -16\/2703, 4\/429?\nAnswer: -16\/2703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of 0 + 5*x - 3*x**2 + 1\/2*x**3 - 9\/10*x**5 - 3\/4*x**4. Let h be t(6). Round h to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 175 and 980.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 + 24*k + 1. Let i be t(-24). Let g(f) = 39*f - 2. Let y be g(i). Let h = y - 36. Is h <= 2\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1101 (base 2) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0007041 rounded to 5 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0*j + 10 = 0. Suppose -l + 189 = 459. Let b be (l\/63)\/((-8)\/28). Solve -5*h = -j - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 7, -33, -155, -401, -813?\n\"Answer: -7*c**3 + c**2 + 6*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 155199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 3*r**4\/2 + 57*r**3\/2 + 333*r**2\/2 + 567*r\/2 = 0?\nAnswer: -9, -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*f + 3084*f**2 - 15*f + 7*f + 4*f to the form g*f**2 + q + k*f and give g.\nAnswer: 3084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 3\/4*v**3 - 7\/4*v - 3\/4 + 7\/4*v**2 = 0. What is v?\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2651*f - 654*f - 650*f + 4*f**3 - 658*f - 689*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -14*x - 6. Let h(m) be the first derivative of 4*m + 9\/2*m**2 + 3. Calculate -8*h(g) - 5*v(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, m: 6, f: 1, j: 2, l: 2, p: 4}. What is prob of picking 1 j and 1 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z = 12*z - 4. Find the third derivative of 2*r**5 + 7*r**z - 3*r**5 + 4*r**5 wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*z + 21*z + 24*z + 780 = 0. Let p(f) = -f + 38. What is the remainder when p(0) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 2*a**3\/7 + 6*a**2\/7 - 8\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/4*(2 + -21 - -15). Solve q*a - 329 = -311 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -9, -18, -41, -84, -153, -254, -393?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**2 + 2*f. Let u be 1*((-8)\/4)\/2. Give n(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27.45 + 0.45. Let y = o - -27.3. What is the smallest value in -1\/3, 5, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 4*i - 4. Let b be t(2). Suppose 3*g + b - 13 = 0. Solve -1 = -a - g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29765112.\nAnswer: 2, 3, 13, 95401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 + 18*g + 4. Let s be k(18). Suppose 0 = -s*v + 4, -o + v + 582 = -0*o. Let p = -188 + o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (663\/884)\/((-5)\/220)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 28 + -25. Suppose -4*k + 57 = 6*c - d*c, 5*c - 130 = 5*k. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4\/11381 - -90588\/1308815. What is the common denominator of x and -41\/253?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2483.045433 and 2.55.\nAnswer: -2480.495433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 11:43 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 187*t + 102. Let y(i) = -51*i - 28. Let c(p) = 14*o(p) + 51*y(p). Let v(k) be the second derivative of 2*k**3\/3 + 6*k. Calculate c(v(h)).\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1367792?\nAnswer: 2, 85487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.13057 rounded to 1 dp?\nAnswer: 12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -3ac5 (base 15) in base 3?\nAnswer: -122020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 33\/4 - 489\/4*y - 375\/2*y**4 - 3675\/4*y**3 + 2385\/4*y**2.\nAnswer: -3*(2*y + 11)*(5*y - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 1:07 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {z: 2, o: 7, x: 4, y: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -134*k + 16. Let t be m(6). Let c = 1125 + t. What are the prime factors of c?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -503585 (base 10) to base 9.\nAnswer: -846708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*z**3 - 443*z**2 - 132*z = 0.\nAnswer: -44, -3\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 41 + -26. Suppose 2*i = 7 + l. Suppose -13*v + 92 = -i*v. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 732.4279 micrometers in kilometers?\nAnswer: 0.0000007324279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -845d (base 16) in base 7?\nAnswer: -200535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -38779401, -38779399, -38779397, -38779395, -38779393?\n\"Answer: 2*z - 38779403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (30 + 0)*(-7 - 414\/(-63)). Let s = 93\/7 + v. Suppose 2*y = -2*y - 4. Which is the closest to y?  (a) -4  (b) s  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 486 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -890, -869, -846, -821, -794, -765?\n\"Answer: d**2 + 18*d - 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-5)\/(-10)*-53)\/((-1)\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -651244228 times 3\nAnswer: -1953732684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3386*k**2 + 6880*k**2 - 3494*k**2 + 3 - 3 - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 115, 117, 119, 121?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -77 + 79. Let u(h) = h**n - 3*h + 4*h - 8 + 131. What is the hundreds digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 9 = -19. Suppose -4*z = -p - i, -p + 1 = -z + 2. Let k(g) = 2*g**2 + 13*g - 4. Calculate the lowest common multiple of k(-7) and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -730 + 2*y + 2*y**3 + y**4 - 6*y + 0*y**2 + 733 + 6*y**2 as i + r*y**2 + n*y**3 + l*y**4 + o*y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2030 divided by -5.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**3 + 1 - 1 + (-3 - 2 + 7)*(0*i + 2*i - 4*i)*(2 - 2 - 3*i**2).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -201791 (base 10) to base 11\nAnswer: -128677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 286418 is divided by 6686.\nAnswer: 5606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 299.1346ns in milliseconds?\nAnswer: 0.0002991346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 239787346 by -414857.\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, v: 1, j: 1, a: 1, f: 1}. Give prob of picking 1 f and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.075, 3, 10, -2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - 4*l + 4*l)*(-5*l**4 + 3*l**4 - 4*l**4).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1225)\/(-50)*70\/49. Solve 48*s - 55*s - z = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0223 + 0.0523. What is the smallest value in -7, 4, g?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 3*z**2 - 51*z + 10. Give c(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24011 + -3011400?\nAnswer: -2432334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 3:57 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bixbxxdxwbxyi. Give prob of sequence xxb.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.007 - 1479.16.\nAnswer: -1479.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u - 3*u + 5*u)*(2*u - 2*u - u) - 13*u**2 + 25*u**2 - 8*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -8. Let s = 5.9 + -2.9. What is the smallest value in n, s, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/8*(-56)\/(-3). Let t be 8*(p\/8 + 4). Find the third derivative of -5*r**4 - r**4 + 0*r**t + 6*r**2 + r**4 wrt r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 645 + 817 - 389*l**4 - 153 + 430 - 1633*l**4 wrt l.\nAnswer: -8088*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8099)\/6279)\/(-89)*-30\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-15)\/(-30) + -1*(-4)\/(-8). Let w(o) be the third derivative of 1\/24*o**4 - 1\/60*o**5 + 0 - 1\/120*o**6 + 1\/6*o**3 + j*o - 6*o**2. Solve w(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 9 - 62 - (19 - (-11 + 13))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-13)\/(-13)*(-4)\/22. Which is the closest to 251?  (a) 5  (b) -2\/9  (c) -1  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -3*a**5 - a**2 + 2*a. Let p(j) = -4*j**5 - 2*j**2 + 3*j. Let c(d) = -2*p(d) + 3*w(d). Find the third derivative of c(s) wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 76\/8595 and 1\/4043088?\nAnswer: 20215440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1017, -1977, -2937?\nAnswer: -3897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(51) + sqrt(7344)*3 + sqrt(7344))\/(-6*sqrt(75)) + 4 + -5)**2.\nAnswer: 49*sqrt(17)\/15 + 41717\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -9, -53, 4 in ascending order.\nAnswer: -53, -9, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - -303002?\nAnswer: 303011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 220048987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 198491 = 3*q, -5*q - 161792 = -4*r - 492581. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - a - 4*h - 11, -2*a - 3*h - 10 = 0. Let x be a\/(((-33)\/6)\/(-11)). Solve -3*f + f = x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4 + 8*v + 9*v in the form a + s*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(-4*(sqrt(720) + 2*sqrt(720) + sqrt(720)) + sqrt(720) + 4)*-1 + 3 + 4)*3)**2.\nAnswer: 9720*sqrt(5) + 1458081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 2*k**2 + 4*k - 1. Let c be a(-3). Let q = -8 + 8.1. Let y = -0.4 - q. What is the second biggest value in y, c, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 140*v**3 - 81*v**2 + 1 wrt v?\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-32)\/(-22))\/((-44)\/242).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.411 + 0.189. Is 39 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6045 - 240*s + 98*s + 113*s**3 + 142*s + s**2 - 529*s**3 wrt s?\nAnswer: -1248*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f = 37*f - 259998000. What is f rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*n**2*r**2 + 72016*n**2 + 3975*r**2 wrt r.\nAnswer: -6*n**2*r + 7950*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 + 13*a**2 + 3*a + 1. Suppose -2*y - 3*m = -8*m - 10, 4 = -5*y - 2*m. Suppose -40 = -y*u - 4*u. Is t(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337412 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 225466 - 70?\nAnswer: 225396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 240 + -262 - 1*-11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 131 + -59. Suppose 42 = -4*l + 2*a, -3*l - 15 = -l + a. Let r = 0 - l. What is the greatest common factor of r and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 1072 = 5*i, 5*m + 267 = 6*m - i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2477 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 43 + -46. Is 21 a factor of (-6)\/d + -3 + 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 569, 1138, 1707, 2276, 2845?\nAnswer: 3414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hrwh when four letters picked without replacement from ssswshshhssrwh.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (((5 - ((-7)\/(-7) + 4))\/3)\/(-4))\/6. Factor -5\/2*h**3 + 0*h + 0*h**2 + r - 5\/6*h**4.\nAnswer: -5*h**3*(h + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 1\/29, 0.3, 1\/4, 1?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 * 6441.3\nAnswer: 4508.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 1 = 5*a. Let q(i) = 8*i - 132. Let z be q(18). Find the second derivative of g + 0*g**2 + 7*g**a - 2*g**2 - z*g wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2148515.7 milliseconds?\nAnswer: 35.808595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21860 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 4*w**2 - w - 2. Let o be f(-4). Suppose v = 2 + o. Solve u = v - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7357*y = 368167 + 80610 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(325)*-1 - sqrt(325))*-5 - (sqrt(325) + (-1 + sqrt(325))*6) - (sqrt(325) + sqrt(325)*-2 + 1 + sqrt(325) + sqrt(325)*1 + -4)) + -1 + -2)**2.\nAnswer: 120*sqrt(13) + 1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(156) - 2*(sqrt(156) + sqrt(156)*1 - sqrt(156) - sqrt(156))) + sqrt(156) + sqrt(156))*6)\/(sqrt(972) - (sqrt(972) + -1*sqrt(972))*5).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f + 985 - 985. Let w(p) = -6*p**2. Determine o(w(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 183*u + 36 = 192*u. Solve w + u - 7 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ftiavtfttt. Give prob of picking 1 a, 1 i, and 1 f.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - -110102?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-3*-2*sqrt(76)*1)**2.\nAnswer: 2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -106*k - 538. What is h(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2\/3, -2\/9, -1, -3\/2 in decreasing order.\nAnswer: 1, 2\/3, -2\/9, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(7260) - 2*sqrt(7260) - sqrt(60))\/(((sqrt(24) - sqrt(48)\/sqrt(2)) + sqrt(24))\/sqrt(2)) + (-2 + sqrt(125) + -3)**2 + 1).\nAnswer: -906 + 372*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 250794973 and 1144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1340?  (a) -1  (b) -865.2  (c) -4\/7  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 284 - 128. Let p = 158 - c. Solve 0 = 5*w - p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1947*s**3 + 1740*s**3 - 3686*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 33473 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 + -14 - (-6 + 5 + 5). Let q(d) = 5*d - 1. Let j be q(-4). Does n = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.30659938 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 28363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/308896 or -1?\nAnswer: 1\/308896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15517 and 1522244.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*l**2 - 5*l**4 + 58*l**3 - 58*l**3 wrt l.\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -191, -190, -189, -188, -187, -186?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -11489987\nAnswer: 4\/11489987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -1218.\nAnswer: -1\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1333 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -i + 140. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 2*p + 718. Let s = -180 - p. Suppose -2*f - 3*h - 2*h = -111, -3*f + 5*h + s = 0. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3\/14, -1\/10, 25?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 0 + -2 + sqrt(320)*2*-5 + (-3*sqrt(320) + 1 - (sqrt(320) + sqrt(320)*-1)*5))**2.\nAnswer: 1040*sqrt(5) + 54105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 2*s - s)*(-4 + 3 + 3 - 3 + 3 - 1 + (3 - 2 + 1)*(4 + 1 - 6) - 1 - 3 + 6 - 1 - 7 - 5)*(5*s - 8 + 8).\nAnswer: -60*s**2 + 60*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 23 + 49 = 5*d, 0 = 4*d - 5*q - 34. Let c(i) = 5*i - 22 + d*i - i**3 - 8*i**2 - 15 + 41 + 0*i**3. Give c(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 - 14. Let f = a - -28. Suppose -3*y = y - f. Solve -5*d + 4 = -y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1344 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 668 is divided by 197?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + -5*sqrt(84)*-2)\/(sqrt(1200)*2))**2 + (sqrt(70)*-3*-3)\/(sqrt(60)\/(sqrt(6) + 1*sqrt(6))).\nAnswer: 847\/400 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 9912, 1, 412 in decreasing order.\nAnswer: 9912, 412, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7659*c + 7660*c + 5017*c + 6929*c.\nAnswer: 27265*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 35031322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2\/(-2) + -1)\/(8\/(-4084)).\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-2\/3))**(-23)\/(v\/(v*v**(-5))*(v**(-3)\/v)\/v) assuming v is positive.\nAnswer: v**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 4*l. Suppose -35 = -4*n + 3*j - l*j, -5 = -2*n - j. Let d be 4*1\/(-3)*-3. Solve d*x + 4 = -4*y - y, 5*y = -n*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19594361, 39188720, 58783079?\nAnswer: 78377438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 275154845 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does -3033\/2 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) -0.5  (c) 13369\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*l**3*v**2 + 3*l**3 + 111*l**2*v - l**2 + v**2 wrt v?\nAnswer: 8*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2025602?\nAnswer: 2, 31, 37, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 13682901 and -41 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h + 7. Let z be b(-5). Suppose -90 = -4*g - 2*m, -z*m = 4*g - 6*m - 84. Let p = -9 + g. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(200) + -2 + sqrt(200)*-1 + sqrt(200))**2 + sqrt(200)*4*5)*5.\nAnswer: -4800*sqrt(2) - 6120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 678920937 a multiple of 597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(300) + sqrt(300) + sqrt(432)\/sqrt(9))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuxtxeecduuuedcceu. Give prob of picking 1 e, 1 c, 1 x, and 1 t.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12038545 - -6.\nAnswer: -12038539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.106 and -150719 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the second derivative of k**3\/6 + 7*k**2\/2 - k. Suppose -5*d + 7 = 2*w, 4*d - 4 = -w + d. What is the lowest common multiple of w and n(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g + 4*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2675799839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 998*h**2 - 116*h**5 + 19947*h**3 - 19947*h**3 - 3*h**4 wrt h?\nAnswer: -6960*h**2 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + k**2 + k + 1. Let x(r) be the first derivative of -2*r**5\/5 - r**4\/2 - 20*r**3\/3 - 3*r**2 - 10*r + 1. Let n(w) = -10*c(w) - x(w). Factor n(d).\nAnswer: 2*d*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13\/3 + 71\/15. Let u = 5.015 + -5. Let f = u - 0.315. Which is the second biggest value?  (a) g  (b) 1  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(4\/3)*o\/o**(2\/9)*o*o)**(1\/2) assuming o is positive.\nAnswer: o**(37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42*c + 77*c + 70 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the third derivative of -37\/6*t**3 + 0*t + 1\/12*t**4 + 0 + 17*t**2. Let h be i(19). Solve -h + 0 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from heexeeexxhxxe. Give prob of picking 1 x, 1 e, and 2 h.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*(69 + -2) + 3. Suppose -5*a = -a - m - n, -5*m + 58 = 4*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.65 rounded to one dp?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 7 + 6)*(-3*g**4 - g**4 + g**4).\nAnswer: -54*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 47  (b) 45  (c) -3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 436583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31.35 + 31.3500000817. Round m to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -110364, -110366, -110368, -110370, -110372?\n\"Answer: -2*c - 110362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/109352 and -143\/240?\nAnswer: 3280560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-67410)\/(-20972))\/(-5*((-18)\/20)\/3)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 6:52 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 13*y - 14. Let p be 1 + -1 + -11 + 0. Let s be b(p). Suppose -285 = s*l - 13*l. List the prime factors of l.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9634697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j**5 - 462*j**4 - 13004*j**3 - 91548*j**2 - 248886*j - 235926 = 0. What is j?\nAnswer: -17, -3, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-10) + 27\/30. Let f be ((-84)\/(-105))\/((-14)\/5). Suppose d - b = 0, 0*d - 5*b + 6 = d. What is the nearest to f in d, w, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - 0)\/((-1)\/4) - 3. Let v be (-1200)\/(-42) - (-9)\/21. Let j = y + v. Calculate the remainder when 149 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-3) + (-44)\/(-12). Suppose -p*h + 3 = -57. Let r be 2\/(-6) + (-2)\/(-6). Solve r = -j + 4*o - 16, -2*j + 5*o - h = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81544.\nAnswer: 2, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 7, g: 1, v: 4, f: 1, s: 4, w: 1}. Give prob of sequence goog.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*g - 1138791440 = 251880175 + 430325385. Round g to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.323 * 0.08.\nAnswer: 0.02584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 201112?\nAnswer: 2, 23, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkcckcesskkxs. What is prob of picking 2 s and 1 c?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, m: 10, v: 2}. Give prob of sequence vmv.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - 0.3450562061?\nAnswer: 6.6549437939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + -1 - (-2 + 2). Suppose 20 = 4*b - 2*i, b = -l*i - i + 5. Suppose 71 = b*t + 1. Solve 0 = h + 2*o + o - 2, 3*o = 2*h + t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*p**3*y**3 - 69*p**3 - 31*y**4 with respect to y.\nAnswer: -12*p**3*y**2 - 124*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4*c - 3*v - 3 = 0, -3*v - 1 = 4*c. Calculate the lowest common multiple of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**4 + k**3 + k**2 - 1. Let h(s) = -s**4 + 4*s**3 + 4*s**2 + 5*s - 4. Let i(x) = -4*c(x) + h(x). Find the second derivative of i(o) wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -341222?\nAnswer: -341226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 8*t**2 + t + 7. Let l be g(-8). Let m(p) = 1207*p**2 + p + 1. Is m(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of -w**7\/280 - w**6\/32 - 3*w**5\/80 + 5*w**4\/32 + w**3\/2 + 3*w**2 + 481. Solve i(b) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -104*m + 10. What is d(-1)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23630481319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 189 + -102. Suppose l - 12 = 5*j. What is the hundreds digit of (j - 17)*(-506)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 3*n**2 + 3*n - 28*n - 1227 + 1236. Is s(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 4765*i - 2 + 4997*i.\nAnswer: 232*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8080*h = 7885*h - 3771 - 6174 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -941133228 divided by 6716.\nAnswer: -140133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -10*p - 77. Determine a(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -5, -9, 983, -3 in decreasing order.\nAnswer: 983, -3, -5, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -7*u + 2. Let h(l) be the third derivative of 179*l**4\/24 + 3*l**2 + 12*l - 2. Calculate h(a(t)).\nAnswer: -1253*t + 358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -267 + 227 + (-3 - -36)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 571677 divided by -4?\nAnswer: -571677\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 283 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -7 + 1 - (3 - 8 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s**2 - 2721*s - 8178. What is q(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 8*x**3 + 7*x**2 - x + 2. Suppose 0 = -0*r - 2*r + 2, r - 7 = -l. Let i(z) = -7*z**3 - 6*z**2 + z - 2. Calculate l*t(k) + 7*i(k).\nAnswer: -k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44142.\nAnswer: 2, 3, 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from lbiqg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2503566 = a - 0*a. Suppose 3*t - 1486150 = 2*q + 1017451, 4*t = -2*q - a. Let n = -271793 - q. What is n rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -4, -0.17, 3660, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 + 11*x**2 + 9*x + 1. What is the smallest common multiple of g(-10) and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 230101398.\nAnswer: 2, 3, 83, 109, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2274 a factor of 1216140096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5.7, -482, -1, -95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/2*(-1 - -1). Suppose -4*h + 20 = -n*h. Suppose -h*c = -4*b + 59, -3*b + 0*b + 53 = -2*c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*y**3 - 5*y**3 - 14*y**4 + 21*y**3 - 115*y**2 + y**4 wrt y.\nAnswer: -312*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 457 + -467. List the prime factors of (-1096)\/w + 2 - 152\/(-380).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -1 + 2 - (7 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i**3 + 2365*i**2 - 337968*i - 1035216 = 0. What is i?\nAnswer: -3, 156, 2212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4\/3, 3, -0.3 in descending order.\nAnswer: 3, 2, 4\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 3:11 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of a**5\/5 + 7*a**4\/2 - 31*a**3\/3 + 8*a**2 - 4. Factor s(o).\nAnswer: o*(o - 1)**2*(o + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(91) - (sqrt(91) - -2*sqrt(91))))\/(sqrt(7) - (sqrt(7) - (sqrt(7) + sqrt(14)\/sqrt(2)))*5).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10488380 is divided by 699225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -147 - -176.5. Let g = l - 24. Let x = g - 6. What is the second smallest value in -1\/7, x, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-2))\/((-6)\/36). Solve 0*z + 5*z - 3*k - 12 = 0, k = -j*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a = 28*a - 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 18*k - 24. Let w be b(2). Let y(a) = -2*a**2 + 24*a + 4. Let i be y(w). What is l in 17\/9*l**i - 4\/3*l**5 + 0*l + 0 - 1\/3*l**3 - 2\/9*l**2 = 0?\nAnswer: -1\/4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of (21\/(-2))\/(((-9)\/27)\/((-7784)\/(-18)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 equal to 2424094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -291 by 5.\nAnswer: -291\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*j - 6. Let x(z) = 0*z + 0*z + z - 3*z**j - 6 + 2*z**2. Determine x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 333303132 (base 4) to base 6.\nAnswer: 5333530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 1791 - 1791 - 1064*n as x*n + k and give x.\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 1:21 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 1 + 0 = 0, 0 = -3*v - q + 83. Is 28 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2237246801 to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17334 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, r: 4}. What is prob of picking 1 f and 3 r?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d - 5*d + 3*x - 7, 0 = 4*x - 16. Let w = -3 - -2. Let p be 2\/(-8)*(w + -3). Is d bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -7*g**2 + 0*g**2 + 5 - 5*g + 0*g + 5*g**2. Let c(v) be the third derivative of v**4\/24 - v**3\/6 + 24*v**2 + 3*v. Determine 4*c(r) + f(r).\nAnswer: -2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 29 - 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3054 and 32016609?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 + 38 + 107 = -139*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**3 + 2*j**3 + 2*j**5 + (0*j**5 + 0*j**5 + j**5)*(-441 + 157 - 180).\nAnswer: -462*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2072848 is divided by 195?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1231152343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 11:04 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.4551 - -49933\nAnswer: 49932.5449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 544 and 588472?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - 0)*(-363)\/(-6). Let v = 30 - m. What are the prime factors of v?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 14 = 2*j. Let b be j\/9*90\/12. Let m(i) = 4*i**3 + 5*i**2 - 5*i - 5. Let x(l) = -4*l**3 - 4*l**2 + 4*l + 4. What is b*x(k) + 4*m(k)?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 198583048*k**3*q - 4448622*k**3 with respect to q.\nAnswer: 198583048*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -g**2 + 12592*g - 12594*g - 2*g**4 + 2*g**2 + 37*g**3 - 40 to f*g**4 + n*g**3 + r*g + t + v*g**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.01 - 0.01. Let w = -0.1 - 0.1. Let d = 2.951 - -0.049. Which is the nearest to -0.1?  (a) w  (b) r  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 46, 134, 294, 550, 926, 1446, 2134?\nAnswer: 3014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 2  (c) 7  (d) -1\/36  (e) -0.05  (f) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 8 = 5*m, 0 = -0*m - 3*m - 2*s + 4. Solve -2 = m*n + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1*sqrt(243))\/sqrt(9))\/((sqrt(45) + (sqrt(45) + sqrt(45) + 5*(sqrt(90)\/sqrt(2) + sqrt(45)) - sqrt(45)))\/sqrt(5))*-6.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.278636288 rounded to two dps?\nAnswer: -8.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -3 - (-4 - 0 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 52055913 to the nearest integer?\nAnswer: 7215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 11. Suppose -2225 - 70 = -w*o. What are the prime factors of o?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 - 9*s - 10. Calculate i(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -15*f - 162. Let h be b(-11). Let t be (-36)\/(-16) - 2\/8. Let m = 1 - -1. Solve -2*a - 5*x - h = -t, m*a - x = -7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 + -33 - (1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 2  (b) -2\/9  (c) 0.4  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t = 39*b - 42*b + 48, -666*t + 668*t = -5*b + 20 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.06 + -0.94. Let n = 381 + -2291\/6. What is the third biggest value in t, n, -1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l**(4\/3)\/l*l**(-1\/7)*l*l**(-3)\/l*l\/l**(-7)*l*l assuming l is positive.\nAnswer: l**(172\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52321812 is divided by 129?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**2 + 36*z - 135. Let r be d(5). Sort -4, r, 2\/5, -45 in descending order.\nAnswer: 2\/5, -4, r, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 318 + -317.99999906. Round c to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 159 + 2*l - 1324*l**2 - 173*l**2 - 151.\nAnswer: -1497*l**2 + 2*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -174877363.7 rounded to the nearest 10000?\nAnswer: -174880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.01 + 0.51. Let l be ((-2)\/(-1))\/(2*1). What is the nearest to l in -0.1, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 13. Let o be 1\/(0\/1 + k). Let w be (-2)\/(-7) - (-8)\/28. What is the closest to -0.1 in o, w, 1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -6. What is the units digit of t\/(-1) + 3 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-246 - 119 - 349 + 2035)*(4*p + 14 - p - 12) in the form l*p + g and give g.\nAnswer: 2642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 5780619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -105*y - 5665. Let t be m(-54). Solve 0 = -5*p + t*n + 25, 5 = -2*p + 5*n + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -115 + 179. Find the common denominator of -145\/12 and 5 - -137*(-4)\/o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**2 - 2*z**5 + 3*z**2)*(12 + 4 + 13).\nAnswer: -58*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 3*i + 2. Let f be v(0). Let o = -0.05 + 0.55. What is the second smallest value in f, o, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67, 63, 63, 73, 99, 147, 223?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01819 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 less than 193493\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 + (-1)\/((-10)\/35). Let m = -136 + 131. Which is the second biggest value?  (a) m  (b) 0.2  (c) -7  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/(-1))\/((2\/(-6))\/(235\/705)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10830.4614803303 + 0.4\nAnswer: 10830.8614803303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14356*p**2 - 8069*p?\nAnswer: 28712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 52935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 - 2507162?\nAnswer: -2507170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -139312.45 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1757585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from ttttttujjtfjj.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 5*u + 33, 2*j - 21 = j - 3*u. Let c = j - 7. Calculate the least common multiple of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**3\/4 - 14647*w**2\/2 + 31472591*w\/4 + 15750943\/2 = 0.\nAnswer: -1, 1118, 28177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(14)\/((sqrt(7) - (sqrt(21)\/sqrt(3) - sqrt(7)))*-3)*5*-4.\nAnswer: 3 + 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 y, and 1 o when three letters picked without replacement from {d: 2, o: 1, y: 7}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 14 = 2*j, -4*j + 835 = 3*m + 809 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 42*u + 20. Let w(i) = 13*i + 6. Calculate 3*o(m) - 8*w(m).\nAnswer: 22*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 516735345 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-18)\/4*2*8\/(-36). What is the third derivative of -45*m**l + 240*m - 19*m**3 - 240*m wrt m?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 5 = j. Let t = -10614 + 116656\/11. Let i = t + 316\/33. Is i > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*t + 115 - 16*t - 41*t - 231 + 114.\nAnswer: -118*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -66 - -27. Let t = -17 - d. Suppose 5*k - 770 = -9*k. Calculate the highest common factor of k and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 15*s**2 - 17*s + 25. Let i be w(16). Let n = 108 - 104. Solve 5*r + n = i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 7, z: 2, l: 1}. What is prob of sequence zz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s**3 - 46*s**2 - 23*s - 8. What is j(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 92 = -0*t + 2*t, 140 = 4*t - 5*k. What is the third derivative of 30*n**6 + 21*n**2 + 19*n - t*n + 19*n wrt n?\nAnswer: 3600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36045551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 5 = -5*n - v, 0 = v - 5. Suppose n = 10*c - 5*c - 8570. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 47388000 to the nearest one million.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -55158*a**4 + 2*a**2 + 165083*a.\nAnswer: -661896*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 2*n - 6, 3*q + q = -5*n + 41. Let g = -5 + q. Let l(v) = -2*v + 0 + 2 + 4*v. Let a(w) = -w**2 + w + 1. What is g*l(u) + 2*a(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 412 - 364 - (3 + 55).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 8. Let i(t) = -3. Let y(f) = -4*b(f) - 11*i(f). Let d(u) = -16*u - 15. Let m(k) = -d(k) - 4*y(k). Let p(a) = 3*a + 2. Determine 2*m(x) - 11*p(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2236.3999990919 + -2236.4. Round g to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 39 - 7. Let w be (x\/(-16))\/(((-21)\/(-396))\/7). What is the highest common factor of w and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25374492 and 286.\nAnswer: 25374492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -5*k**3 - 4*k**2 + 5*k - 5. Give b(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 616.4496 tonnes to milligrams.\nAnswer: 616449600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.2 times 0.06?\nAnswer: -0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14365008703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 694.676 millimeters in nanometers?\nAnswer: 694676000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 51 + -55. Let n = 0 - -0.2. Let u be -4*2\/6 - -2. Sort n, u, i in ascending order.\nAnswer: i, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6785759065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 14432668 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-6)*c**(-2\/9))\/(c**(2\/13)*c**(-5))*((c**(-2))**5)**(-47) assuming c is positive.\nAnswer: c**(54829\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 4*b - 4*b + 9*b. Let d(s) = -2. Let n(a) = 343*a + 1372. Let o(j) = -686*d(j) - n(j). Determine -2*o(f) - 77*u(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*v**2 - 2*v**2 + 152*v - 126*v wrt v?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185*w + 2*y + 12 = 188*w, 14 = 4*w - 2*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -4*q - 7. Let k(c) = 5*c + 8. Let b(x) = 6*i(x) + 5*k(x). Suppose -4*j + 20 = 0, -4*g + 15 = -2*j + j. Calculate b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v**(-9\/5)\/v*v))\/v)\/v)**9\/(v**(7\/4))**(1\/35) assuming v is positive.\nAnswer: v**(143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -328 - 35 - 457 + 2*f - f + 64.\nAnswer: f - 756","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000317954 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 235 = -3*z + 3*f, -4*z = 2*f + 348. Which is the third smallest value?  (a) 4  (b) z  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 4730647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.7 and 12533.\nAnswer: 12533.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -g**4\/2 + 16*g**3\/3 + 21*g**2\/2 - 22*g - 33. Let p be t(9). Which is the third biggest value?  (a) -2  (b) -1\/6  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245)\/(-1*sqrt(5)))\/(sqrt(847) + 4*sqrt(847)) + -4 + 0.\nAnswer: -4 - sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 + -57*1)*(-2)\/5. Let d = w - 13. Let t be (-206997)\/d - 2\/6. What is t rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = h + 36727, -5*h - 9*l + 11*l = 183603. Let y = 90310 + h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -769076290028 from -14.\nAnswer: 769076290014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-34)\/3*((-2)\/4 - 1). Put -0.1, 3, 5, y in decreasing order.\nAnswer: y, 5, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 2:08 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - 4*c + 14408, 10808 = -125*n + 128*n + 4*c. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 5 = -29. Let a(q) = q**2 + 8*q + 10. Let f be a(-6). Let s be (2\/d)\/(f\/(-3)). Sort 0.1, 1, s in increasing order.\nAnswer: 0.1, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2045*m + 106 = -2043*m. Calculate the greatest common factor of 2 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 38364, 153387, 345086, 613461, 958512?\n\"Answer: 38338*h**2 + 9*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 8076*a**2 - 1804*a**3 - 8078*a**2 + 566*a**3 + 2 - a in the form c*a + i + n*a**2 + l*a**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -21 - ((-21 - -48) + -18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, l: 1, k: 3, f: 3}. What is prob of picking 2 k, 1 l, and 1 e?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2016 and 72?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*q = 8*q + 3*i - 19, -i = 2*q - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.57 + 0.76. Let v = 0.35 + -0.05. Suppose 0 = 7*f + 63 - 42. What is the third biggest value in f, m, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31840869.\nAnswer: 3, 29, 139, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 351.4 less than 547623?\nAnswer: 547271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from acmfeceeecce. Give prob of picking 1 m and 1 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2, 0, -0.4, 34, 2\/9, 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f + 5 - 7, 0 = 2*x - 3*f - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2538, 13224, 42232, 98724, 191862, 330808?\n\"Answer: 1527*f**3 - f**2 + 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 3*c + 4. Let w(i) = i**3 + 19*i**2 - 19*i + 23. Let y be w(-20). Let d be b(y). Sort 0, -3, -2, d.\nAnswer: -3, -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of -o**7\/2520 - o**6\/720 + o**5\/20 - o**4\/6 + 2*o. Let f(b) be the third derivative of g(b). Determine f(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*n - 202 = -134 + 202 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -414 by -2.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = 20*o - 5*a - 300, 40 = 2*o + 3*a for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*i - 1172 = 40*i + 689 + 461 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4149, -3, -37.\nAnswer: -4149, -37, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, i: 4, b: 3, j: 2, q: 2, f: 3}. What is prob of picking 2 a and 2 b?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4839, -4842, -4845?\n\"Answer: -3*y - 4836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1079 = 194*m - 180 - 293 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2, -23, -76, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2, -507, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ju when two letters picked without replacement from uujj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 + 3*l - 74. What is q(-8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p - 3. Let k be a(3). Suppose -t - t + 10 = k. What is the remainder when (2\/(-6))\/(1\/(-39)) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 39298970 to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 6. Let x = j + -2. Solve -k - 1 = -2*w + 1, -5*w - x*k = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**3 + 3*q**2 - 4*q + 3. Determine h(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 640986.4 millennia?\nAnswer: 7691836800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/(-10))\/((-27)\/(-5)). Let i = 101\/135 - k. Let h = -3.2 - -0.2. What is the smallest value in h, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 6 = q. Calculate the lowest common multiple of q\/6*-6 + 8 and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(9\/10)\/j))\/(j**(3\/29)\/j) assuming j is positive.\nAnswer: j**(579\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 210 and 601158810.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/20 - 2\/(-10). Let g = 43\/55 - h. Factor 0 + 0*o**2 - g*o**3 + 2\/11*o.\nAnswer: -2*o*(o - 1)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, o: 2, r: 1, d: 2, x: 2, k: 1}. What is prob of sequence xodo?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5336 (base 7) to base 6.\nAnswer: 12425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 3*w**3 + 3*w**2 + 3*w. Let m = -4 + 1. Let a be c(m). Let n = 103 + a. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 44 by -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5669719823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*q**6 + 107*q**3 - 23*q**2 - 7*q - 2.\nAnswer: -480*q**3 + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the first derivative of c**3\/3 - 4*c**2 - 3*c + 5. Let a be j(9). Find the second derivative of 7*k - 6*k - a*k**5 - 7*k wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04*-6.78.\nAnswer: -0.2712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2592527464?\nAnswer: 2, 324065933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/(-60) - (-200036)\/(-30). Let q be (-17)\/17 + n + 1. Let p = 3318 + q. What is p rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1415.42 and 0.5?\nAnswer: 707.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 224 - 106. Suppose 3*w = a - 40. Calculate the greatest common divisor of 65 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -16 + 112\/(-126)*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -363*f**2\/2 - 22*f - 2\/3.\nAnswer: -(33*f + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lbqc when four letters picked without replacement from {b: 1, l: 1, q: 2, c: 1, n: 1, p: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6180 and 1236?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhyeehthyhytheyhhyyy. What is prob of picking 1 t, 1 h, and 2 e?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -15. Let r = -4 + h. Suppose -2*x = -r*x - 8. Solve 2*w - 16 = 4*d, -4*w - 8 = -x*d - 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g + 20. Let f be y(17). Suppose -f*q + 6*x = 3*x - 36, x = 0. Solve 3*j + j + q = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*z + 145*z = 54 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 84 = -5*z + 14, 2*s - 2*z - 52 = 0. Suppose x - 2*i = -7*i - 2, 0 = 3*x - 3*i - s. Solve -6*c = -2*c - x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31\/(1550\/(-375))*((-1749)\/(-220) - 8).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -10*u + i + 10, -2*i - 10 = -3*u. What is the smallest value in 4, -10, u?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 225999.\nAnswer: 903996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.277059 nanoseconds to milliseconds.\nAnswer: 0.000001277059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 4*l = 0, 4*q + l - 4*l = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -77.846 + 78. Let z = -0.154 + q. Which is the nearest to 0.2?  (a) z  (b) -6  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83a5 (base 13) in base 5?\nAnswer: 1040333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 92634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1280957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4822*f + 1202671 = -12194*f + 2927*f - 51250 for f.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14*1 - 17612\/1360 - (-1)\/(-4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 19650*v + 12142 with respect to v.\nAnswer: 19650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -511717410 + 0.09.\nAnswer: -511717409.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1159\/870 - 85\/58. Which is the fourth biggest value?  (a) i  (b) -3  (c) 2.6  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9785?\nAnswer: 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/9 + (-4)\/6. Let w(q) = 8*q**2 - q - 1. What is w(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 741 and 14357538?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5207634 and 420.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {d: 5, h: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - 16\/(0 + -1). Calculate the common denominator of x\/(-42)*(-51)\/(-68) and 29\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -x**7\/2940 - x**6\/1260 + x**3\/6 - x. Let r(l) be the second derivative of p(l). Factor r(t).\nAnswer: -2*t**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j + 45*j**4 + j)*(7 + 0 - 1) to the form q*j + r*j**2 + t*j**3 + n + p*j**4 and give p.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 10*j**2 + j - 12. Determine x(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10 + 20. Let g be 4\/(-10) - (-34)\/c. Let r be (-1)\/(795\/80 + -10). Solve -4*h = -2*o + 10, -g*h = 5*o + 43 - r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3033 + -3025. Calculate the smallest common multiple of 818 and g.\nAnswer: 3272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -0.4  (b) -0.1  (c) 1\/26  (d) 0.1  (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -4*l. Let o(v) be the third derivative of -v**4\/3 - 38*v**2 + 3. What is p(o(s))?\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(243) + -4.\nAnswer: -4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1311865571.\nAnswer: 17, 131, 457, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 344787305 is divided by 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/3929?\nAnswer: -2\/3929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -53, 6, -3, -10 in decreasing order.\nAnswer: 6, 0, -3, -10, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 8 + 1)*(-972*b + 482*b + 484*b + 83) to the form g + s*b and give g.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 4375.78 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 120 and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*m = 43*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -74503138.235 less than -0.893?\nAnswer: 74503137.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2 + 8140974*d - 16568864417169.\nAnswer: -(d - 4070487)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -29, 555, -1, 2 in descending order.\nAnswer: 555, 2, 1, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 37926340 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, -18 in descending order.\nAnswer: 5, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -7, 1\/2, -1, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8907798 + -6308029. Let b = f - 2599868.00504. Let q = b - -99. What is q rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2619606 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66330 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 1  (b) 4  (c) -2  (d) -22.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*x - 5*o - 1, -2*x + 14 = 5*o. Suppose -x*l = -15*l + 429. What is the greatest common divisor of l and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1685849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1 - (-255)\/52) + 2\/(-13) and -1 - ((-6875)\/(-90))\/(-11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -565, -3 in descending order.\nAnswer: 6, -3, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 19777822619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324*x = -3556 - 2901 - 129 + 1078 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 0.2  (c) 9\/19  (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 552 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2 + 3108*r + 3110.\nAnswer: -2*(r - 1555)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m - 8. Let y(k) = k - 6. Let r(u) = -4*y(u) + 3*z(u). Let v = -4 + 7. Let i(n) = v*n**2 + 2*n**2 - 2*n**2. Give i(r(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + u = -12820, -17 = 4*u - 1. Let x = -1313 + r. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 6361?\nAnswer: -4\/6361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/5))**(4\/15)*u**(2\/9)\/u**(-2\/15) assuming u is positive.\nAnswer: u**(56\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**(-3)*o)\/(o*o\/(o*o\/o**(-3))))\/(o**(-6)\/((o**9*o)\/o)))**(-2\/3) assuming o is positive.\nAnswer: o**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 3\/5, -0.2, 4, 2186?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.5 + -0.52. Which is the third biggest value?  (a) -3\/5  (b) -0.5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 83 by 1788.\nAnswer: 83\/1788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -82.941 - -0.041. Let q = j - -79. What is the nearest to 1 in q, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000983 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -63 - (-52 - -16 - -54)) + 10?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -0.18, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -487 + 501. Solve m*g + 6 = 17*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -6*p + 2. Let y(u) = 26*u - 151. Let g be y(6). Let a(d) = -d + 1. Give g*a(s) - w(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2 + 7 + 1 + l - 4*l - 2*l. Let d be n(-6). Suppose 3*p + d*p = -2*x + 39, -5*p + 25 = 0. What is the remainder when 27 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 - 4*v**2 - 6*v + 4. Let c be p(5). Let a be 1 - 2\/((-2)\/c). Suppose -3*g - 7 + 4 = a. Sort g, 2, 5 in ascending order.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 3*j + 2246, 94 - 59 = -5*j. Is r > 1334\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -5, 1.77, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3*(-12)\/27)\/(-2). Let y = 212 - 463. Let s = -250.8 - y. Put -2\/5, s, z in descending order.\nAnswer: z, s, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - r + 9 = 2, 0 = -2*r + 6. What is the common denominator of -9\/5 and v\/(-10)*275\/(-68)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - -1112?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**5 + 2*o**3 - 2*o**3 + (4*o**4 - o**4 - o**4)*(o + 3*o - 3*o) + (15 + 4*o**2 - 15)*(3121 + 45*o**3 - 3121).\nAnswer: 183*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -5, -3.3, 4, -1, -62?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from byfyfpyyybpbfbbyyyy?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -67430 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 4, -4, 105, -250 in decreasing order.\nAnswer: 105, 6, 4, -4, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -19, -2, -38.\nAnswer: -38, -19, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 239 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3420 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1267 - 1303. What is the biggest value in 0, g, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of -2*s**6\/15 - 2*s**3\/3 + 2*s. What is the second derivative of o(n) wrt n?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f**2 - 18*f - 13. Give b(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7068 - 7708 = -160*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5293, -10662, -16021, -21364, -26685, -31978?\nAnswer: -37237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 35\/10 - ((-84)\/9)\/(-7). Let k = g + -43\/18. Which is the third biggest value?  (a) 3  (b) 1.5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -39*r + 470. Determine h(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (7 - (-3 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -5*b + 17, 8*g - 3*g = -b - 19. Let y(t) = 2*t**3 - 6*t**2 - 23*t - 44. Let j be y(g). Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 73.4389 litres?\nAnswer: 73438.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/6)\/((1\/18)\/(11\/3))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 11:36 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = -9*x - 71 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17303 is divided by 1729?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/69475 and 129\/10430.\nAnswer: 20703550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does -4\/7821 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -20, -77, -170, -299, -464, -665, -902?\n\"Answer: -18*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -2*u**2 + 53*u - 19. Let g be v(26). Solve 20*t + g = 21*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166 = 2*u + y - 180, -3*y + 27 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 - 495. Let y(w) = -38*w + 22. Let o(v) = 7*v - 4. Let s(b) = -22*o(b) - 4*y(b). Determine i(s(g)).\nAnswer: 4*g**2 - 495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxkx when four letters picked without replacement from {k: 6, x: 13}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 164 divided by 39\nAnswer: 164\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 402 - 242. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 195*f**3 + 4*f**2 - 4*f - 4. Let s(t) = 108808*t**3 + 2233*t**2 - 2233*t - 2233. Determine 4*s(h) - 2233*u(h).\nAnswer: -203*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 45876049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Put -0.3, 0.4, -23.38 in ascending order.\nAnswer: -23.38, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1327\/(-63) - (-9012 - -8991)?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -12*r - 129. Let f(h) = -300*h - 16. Calculate x(f(g)).\nAnswer: 3600*g + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 11*b. Let v(m) = 351*m. Let d(z) = 130*r(z) - 4*v(z). Let c be d(5). Let x = c - 233. Round x to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -2*y**3\/21 - 860*y**2\/21 - 44518*y\/21 - 43660\/21 = 0.\nAnswer: -370, -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 0*m + 2230 = m, -2*m = 8. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*s + o + 8, -9*s - 4*o = -10*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -377 = -5*w - 2*j, -w = -2*j - j - 72. What is the highest common divisor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16.3512 - -0.2052. Let s = z - -0.146. Let o = s - -15.7. What is the third biggest value in 2, 3, 0.07, o?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/5 + 2616*a\/5.\nAnswer: -a*(a - 2616)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 430725*l - 18951896. Give n(44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 6*m**2 - 16067*m + 144648. Calculate h(9).\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 64.9 - 65. Sort 0.5, 5, -5\/6, f in increasing order.\nAnswer: -5\/6, f, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5548374.\nAnswer: 2, 3, 13, 131, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/f**6)\/f)\/(f**(-15)\/f))\/(f**1\/(f*f\/(f\/(f\/((f\/(f*(f\/f**(-3\/13))\/f))\/f*f)))*f)) assuming f is positive.\nAnswer: f**(159\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d + 0*d + 0*d - 2*d - 4 + 4 + (4 - 6 + 0)*(-3*d + 0*d + d) + 2*d + 0*d - d)*(-2 - 1 + 2)*(-35*d**3 - 3*d**3 + 4*d**3).\nAnswer: 170*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 != 202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/1*((-237)\/(-1) - -3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -6. Let i = q + -3. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 13383400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -12*t + 1. Let u be (8 - (7 - 5)) + -4. Calculate v(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(-1) + 3 + 10\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*i - 3629*i + 7592 = -30*i + 200102 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 5*y - 60, 2*p + 61*y + 53 = 60*y. Are p and -19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 2) + (26 - (57 + -35))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 273 and 1315062.\nAnswer: 17095806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**3 + 2*d**3 - d**3)*(-18*d - 21*d + 31*d).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 834*-94132\nAnswer: -78506088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1097\/68 + 65\/4. Let t = -5 + 2. Let x be t - (40\/(-6) - -3). What is the closest to x in 0.4, -2\/9, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 11 + 23910?\nAnswer: 23921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6157009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 g, and 1 c when four letters picked without replacement from {c: 4, r: 2, g: 3, b: 9}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -146?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 19399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 712 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -42334 - -43807. Calculate the remainder when z is divided by 290.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 8, t: 5, n: 5}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y - 5*y - 3*i - 10 = 0, 3*y + 5*i = 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.36351 litres in millilitres?\nAnswer: 35363.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 9*g**2 + 138*g + 15. What is d(-15)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 8 + 2)*(n - 4*n + 6*n).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 13 - 10)*(0*u - 2*u - u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*v - 16. Suppose -v*x - 5 = -1. Let w = 1 - x. Calculate the greatest common divisor of w and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13455 = -3*j + 3*w + 13437, -4*w + 9 = 11*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12672 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2976 - -27135. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, 4, -3, 41 in ascending order.\nAnswer: -5, -3, 1, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 88 = -132. Let o(h) = h + 22. Let b be o(n). Find the common denominator of (270\/(-5) + 0)*(-2)\/b and 75\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000534714 rounded to six dps?\nAnswer: 0.000535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0107483 - -0.0064.\nAnswer: -0.0043483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 284 (base 13) to base 3.\nAnswer: 121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2288 - 45*c - 2288)*(-c**2 + 2*c**2 - 2*c**2 + 0 - 2*c**2 + 0 + (c + 0*c - 3*c)*(c - 2*c - c)).\nAnswer: -45*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 278699095 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -54 + 95. Suppose 54 = 2*l + 2*s, 5*s - 33 - 48 = -3*l. Let g = t - l. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 301480909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 2*t + 35176 - 35102 = 0, -5*t = -3*z - 135 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1548548 is divided by 3274.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7  (b) 0.3  (c) 2\/5  (d) 0  (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.8 - 1.2. Suppose -i - 3 = 0, 0*i + 2*i = 2*x + 2. Which is the biggest value?  (a) 0.5  (b) x  (c) -0.1  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 4 = 0, 5*l = 4*w - 2*w - 31. Calculate the least common multiple of 23 + (l - -1) + 3 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -134*j*s - 39949*j + 96395192*s wrt j?\nAnswer: -134*s - 39949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.543 and -0.5.\nAnswer: -1.2715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 29653388 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 13599*z. Let r(m) = m + 4. Give r(y(a)).\nAnswer: 13599*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 192 or 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -34  (b) 0  (c) 0.01  (d) 19  (e) 2  (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27845*s - 27846*s + 9 = -5*i, -9*i = -3*s - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9559 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56.99999972 - -57. Round l to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144699455 - -80315?\nAnswer: 144779770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -55195 divided by -415\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 45366669 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.5110454 rounded to 3 dps?\nAnswer: -13.511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(-15)*(-117)\/((-12636)\/(-14940))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 12*c**2 - 2*c + 1. Let l(d) = -d**2 + d - 1. Let m(y) = -2*l(y) - z(y). Let u(x) = -x**2. Calculate u(m(j)).\nAnswer: -100*j**4 + 20*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 295 and 7361666?\nAnswer: 36808330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*p + 66 = 42*p. Suppose 25 = p*r + 3. Solve -a + 4*j = -3, -8 = -r*a - 4*j - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -101683587\nAnswer: 10168358.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 617 + 85 = 3*m. Is m a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 times -335\nAnswer: -16415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3, -17, -41, -75, -119?\n\"Answer: -5*q**2 + q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**2\/5 + 364*t - 1830 = 0.\nAnswer: -915, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**2 + 453434956*g - 453434960.\nAnswer: 4*(g - 1)*(g + 113358740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1756006 (base 9) to base 12.\nAnswer: -3b4329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 725 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -507 + 710. Calculate the highest common divisor of 116 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5.65759 decades?\nAnswer: 678.9108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -241214 (base 5) in base 15?\nAnswer: -29a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3699622671?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 347 is divided by 53?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68664 - 68665 + 0*s**2 + 20*s**3 - 11*s**2 - 2*s**2.\nAnswer: 20*s**3 - 13*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -0.5, 1.1, -0.02.\nAnswer: -0.5, -0.02, 1.1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**3 + 13*f**2 - 17*f + 4. Let c be p(12). What is the smallest common multiple of (c\/(-21))\/((-2)\/(-12)) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0.217, 0.3 in decreasing order.\nAnswer: 0.3, 0.217, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17818219 is divided by 2222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and 243142.\nAnswer: 243142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 361*t - 1946 = 86*t + 2454 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000717134 to five decimal places.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 37*y**3 - 43*y**2 + 6*y + 4. Let m(b) = -110*b**3 + 128*b**2 - 18*b - 11. Let w = -386 + 397. Let c(v) = w*z(v) + 4*m(v). What is u in c(u) = 0?\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-one halves of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 - 6*q**2 + q + 5. Let f be w(-6). Let n be f\/(-2) - 70\/(-28). Suppose n*v = -2 - 1. Is v at most as big as -1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k. Suppose 5*d - 3*z = -11, d - 2*z = 5*d. Let v be g(d). Let q = 7 + -7. Sort q, v, 2.\nAnswer: q, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/7 + (-238)\/(-49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 1 - 4)*-1. Let d be (-2894)\/(-12) - 3*14\/252. Suppose -d = -i*a - 29. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((98\/245)\/(2\/10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 2*f + 29 = 3*r, 3*f - 3*r - 36 = 0. Suppose -39 + f = -u. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 798.\nAnswer: -1\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 170233837\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/3, 0, -68, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 + 8*o - 21. Let a(y) = -3*y**2 - 20*y + 53. Let b(t) = 2*a(t) + 5*n(t). Let w(g) = 8*g**2 + g - 9. Calculate -5*b(c) - w(c).\nAnswer: -3*c**2 - c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -1.4. Let q = -7.882 + -0.018. Let t = q + 8. Which is the closest to t?  (a) 3  (b) m  (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 94\/27, -0.3, 7, -1 in descending order.\nAnswer: 7, 94\/27, 2, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 - 2*x**2 - 4*x - 3. What is h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -1002021112021212202?\nAnswer: -1002021112021212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5036482*c - 25 = -5036487*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 396\/120*7\/(8\/1040*91).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 7  (c) -2\/6439\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 1196069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -5. Calculate the common denominator of (-1)\/((-20)\/(-111)) + g and (-5)\/(-16) - (-2)\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 102810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 6 = -3*x, 42 = 3*x - 22*q + 21*q. Let z = 5 - 2. Solve 4*t + z*v = 3 + 10, -x = -4*v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g**3 + 288*g**2 + 316*g - 1752 = 0. What is g?\nAnswer: -3, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 - 12*l**2 - 13*l - 17. Let x be u(-11). What is the tens digit of (-964)\/(-6) + 4\/(x - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 4*t + 12, 3*q + 2*t + 0 - 10 = 0. Suppose 3 = -u, 16 + 7 = q*f - u. Suppose 4*p + f - 13 = 0. Solve -x - p = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 4. Suppose -3*l = -y*l. Solve -15 = -l*c - 5*c, -k - c + 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 - 4*n + 3. Let w be s(-4). Let v(u) be the third derivative of u**4\/24 + 6*u**2. What is v(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 130 - 20?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**3 - 412*h**2 + h**3 + 214*h**2 + 198*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 5*s + 6. Let w be g(-2). Let m = w - -16. Let a be (13 - 12)\/((-3)\/(-6)). Solve -a = 2*v - m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 m, and 1 s when three letters picked without replacement from {a: 1, c: 1, n: 2, m: 5, s: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}