{"text":"Question: Let q = 779 - 771. Suppose q*c = 17*c - 963. Which is smaller: -0.2 or c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 - 6*h - 1. Let i(l) = 1770*l**2 - 150*l - 25. Give -i(k) + 25*o(k).\nAnswer: -1795*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8) + sqrt(32)\/sqrt(4))\/sqrt(4))**2*2 + (sqrt(132)\/sqrt(150))\/sqrt(11).\nAnswer: sqrt(2)\/5 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8854 + 13061. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -bda1 (base 16) to base 7\nAnswer: -261350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(5) - ((sqrt(5) + (sqrt(5) - sqrt(5)*-3))**2 + sqrt(5))) + -2.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 269700 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/17, 42, 3, 0.3?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (2*1*(-6)\/10)\/((-830)\/(-16600))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2108590 or -2108589?\nAnswer: -2108590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 65\/130*216\/(-84)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d = -5*r + 4*d + 30, 2*d - 6 = 2*r. Let v(s) = 2*s - 3. Let b be v(3). Solve -1 = b*f + r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 83341.551 from 0.\nAnswer: -83341.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2058 + -1597. Is 1382\/3 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 28\/8 - 4\/8. Let h(p) = 52*p**2 + v*p**2 - 19*p**2. Let j(o) be the first derivative of -o**2 - 14. Give j(h(i)).\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 31 + 109. Let f be (i\/(-10))\/(3\/(-15)). Let q = f - -20. Solve -4*o - 2*c + q = 0, 5*o - 8 = -2*c - 0*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(((x\/(x\/(x\/(x**1*x*x))*x))\/x)\/x*x)*x*x**(-1\/8)*x*x*x)**(-2\/3) assuming x is positive.\nAnswer: x**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.94 - 9.4. Let z = r + 0.34. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43276*x**3 + 43258*x**3 - 2*x + 2*x - 86476*x**3.\nAnswer: 58*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eef when three letters picked without replacement from fecce.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 0 - 2*w + 0. Let c(g) be the third derivative of -g**4\/12 + g**2. Determine c(t(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 12:33 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 23*x**3 - 3*x**2 + 3*x - 8. Let k(t) = -34*t**3 + 2*t**2 - 3*t + 9. Let c(r) = 2*k(r) + 3*p(r). What is c(6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -316 plus -2?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, l: 3, a: 7, u: 1}. What is prob of picking 1 l and 1 i?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 3:38 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((472\/3540)\/(9*(-4)\/(-108)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 less than -80\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/(-15) + (-5412)\/15. Let p be (u\/198 - (-4)\/(-22)) + 2. Solve p = -4*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -574738546, -1149477089, -1724215632, -2298954175, -2873692718?\n\"Answer: -574738543*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (7 - 1)*(624\/1716 + 2\/((-14718)\/2687))\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -34\/1045847 or -1?\nAnswer: -34\/1045847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 66 + 17 + -57 + 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 3. Let f(m) be the first derivative of m**4\/12 + 5*m**3\/6 + m**2 + 7*m + 6. Let r(p) be the first derivative of f(p). Determine r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.74615kg in tonnes?\nAnswer: 0.04774615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7311601 to the nearest integer?\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4649151 is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen halves of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of u**8\/336 - 16*u**7\/35 - 7*u**4\/8 - 59*u**2 + 2*u. Find the second derivative of k(b) wrt b.\nAnswer: 20*b**3 - 1152*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w**2 + 1708339433 - 1708339433.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37 - -36.4. Let y = t + 0.4. Which is the nearest to -1?  (a) 3\/7  (b) y  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*t**2 + 54650*t + 409361.\nAnswer: -16*t + 54650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13*z**3 + 491168*z - 22696852.\nAnswer: -39*z**2 + 491168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(80)*1 + sqrt(55)\/(sqrt(11)*-2).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 494731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -118?  (a) 1  (b) -2\/21  (c) 18\/5  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 44*b**3 + 139*b**2 + 140*b + 47. Let j(y) = -y**4 - y**2. Let h(a) = 3*j(a) + 3*k(a). Suppose h(m) = 0. Calculate m.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -6*p - 3. Suppose -28*v - 11*v + 330 = 71*v. Give x(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 76.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 69879 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 7*n - 151. Calculate f(18).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 215 + 1721*u**2 - 1716*u**2 + 48 + 95 as l*u + j*u**2 + a and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -2*t - 8, 6*t - 3 = 8*t - y. Do 4 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v**2 + 7*v - 231. Let d be k(9). What is the smallest value in 10, d, 0, -5, -0.06?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 260.0247527 - 0.1252527. Let v = 260 - a. Let m = v + -0.5215. Round m to two decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 137770633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 + t**2 + t + 22. Let y be n(0). Suppose y*k - 676 = -4*k. What is the highest common divisor of k and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-5\/2))**18 assuming b is positive.\nAnswer: b**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 9  (b) 26.676  (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2116  (b) 14  (c) 0.2  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of 47*t**4\/12 + t**3\/2 + 7*t**2. Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 368748 or 368747?\nAnswer: 368747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3 - 128760*r**2 + 257526*r - 128764.\nAnswer: -2*(r - 1)**2*(r + 64382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, o: 11, r: 3, v: 3}. Give prob of sequence rs.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - -7)*10\/(-20). Let w(c) = 0 - 1 + 0*c + 2*c - 1. What is w(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21366 - -22097. Calculate the remainder when t is divided by 103.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 4 = 2*r, -r - 4*w + 2 + 9 = 0. Solve r*k - 5*k - 4 = 0, -k + 2 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22280410679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 19 = 3*i, 2*w - 3*i - 39 = -10. Solve -w*h + 7 = 67 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2+40093\nAnswer: 40091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 + 8*a - 8. Let u(v) = -v**2 - 5*v + 5. Suppose 4*n + 11 = -q, -3*q - 5*n - 44 = -4. Let i be (-70)\/q - (-1)\/3. Give i*t(b) + 8*u(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 8:45 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.079 * -1256.\nAnswer: -99.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/5  (b) 1\/6  (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 27*x + 278. Let c be j(-10). What is the tens digit of (-716)\/(-14)*(-1 + c) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132 = -76*m - 56. Which is smaller: 367 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1994931 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: Put 0, -1\/2, 9, 5, -1\/3 in descending order.\nAnswer: 9, 5, 0, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 2*p + 5 = 0. Let n(g) be the first derivative of 17*g + p - 32*g**3 - 2 - 3 + 25*g**3. Differentiate n(u) wrt u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/3*(-693)\/(-66)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 + k**2 - 2*k**2)*(2*k**2 + 0*k**2 - 4*k**2) - 62346*k**3 - 30 + 4*k**4 + 62340*k**3 + 3*k**4 as c*k**3 + j*k**2 + p + x*k + l*k**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3188, -6378, -9568, -12758, -15948?\n\"Answer: -3190*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 135615807 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/6*4\/6*(14000\/(-224))\/125\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -3*c**2 + 1266*c - 46858. Give m(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 41819016*s**3*z**2 + 104439*s**3*z - 4*s**2*z wrt z?\nAnswer: 83638032*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 8, s: 5}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -9, -15, -23, -33, -45, -59?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - -10. Suppose -d*x + 18*x - 3270 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -77*f**2 + 10 + 0*f + 25*f**2 + 0*f - 131*f**2 to the form d + k*f**2 + m*f and give k.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26742527 and 3367.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -850, -1697, -2542, -3385, -4226, -5065, -5902?\nAnswer: -6737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -8\/1978681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 296*b**2 + 2*b - 1. Let q be w(2). Let z = -1165 + q. Let c(i) = 9*i**2 - 3*i - 1. Calculate the remainder when c(4) is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001147531027 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of 0*w**2 + 0*w**6 + 0*w**3 - 10*w + 0 + 23\/12*w**4 + 0*w**5 + 2\/21*w**7. Find the third derivative of z(q) wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.03, 0.3, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p - 3*w = -3*p - 30, 2*p - 16 = -w. Let f = 0 - p. Is 2\/(-6) - 50\/f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.08 and -0.088707.\nAnswer: -0.008707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 2*x - 310, 3*x = -2*i - i + 231. Let o = i - 30. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2922\/42 - 4) + (-3)\/(-7)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-15)\/((-1350)\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 130 (base 14) to base 13\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 6:28 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of 9 + 0*o**5 + 1\/120*o**6 + 59\/210*o**7 - 34\/3*o**3 - 3*o**2 + 0*o**4 + 0*o. Differentiate g(f) wrt f.\nAnswer: 236*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 855 = 69*d + 106 - 148 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -2*u - 3. Let z(g) = -g - 1. Let y(o) = -3*b(o) + 7*z(o). Determine y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**4 + r**4 + 2*r**4 + 16 + 2*r**4 - 16 - 6*r**4 + 3 - 3 + r**4 - 5*r**4 + 2*r**4 + (-5 + 3 + 1)*(-r**4 - 2*r**4 + 2*r**4) - r**3 - 2*r**4 + r**3.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44446 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 5*m, m + 3 = 2*p - 3. Let z = m - -16. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + m = -3*m + 329, 3*m = -3*a + 1023. Suppose -a = -30*k + 7*k. Solve t + k = 2*n, -2*t - 3*n - 2 = -7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 - -97\/5. Let t be 10\/(-105)*6 - (-4 + 3). Let o = -38 + 43. Which is the smallest value?  (a) -2\/11  (b) g  (c) t  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4964030 to the nearest integer?\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tmml when four letters picked without replacement from lcoclmtlwlmcl?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27 - 26. Suppose -5*r + 3*r - 4 = 0. Which is the nearest to 0.1?  (a) k  (b) r  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -1003?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 * -0.00776.\nAnswer: -0.06208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23690 and 9410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 - 11*k**2 + k + 10. Let r be o(-11). Let j be (r + 2)*(-8 + 10). Suppose -5*y + 3*s = -14, -4*s + 12 = -y + j*y. Solve 0*p - 12 = -y*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1364039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 25\/2 of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 20 = 5*n. Suppose 10 = -5*t + n*q + q, -3*q = -15. Differentiate 3 - 2 + 5*j**4 + t with respect to j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 27957076.\nAnswer: 139785380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 4)*(-4*a + 6*a + 0*a) + 0*a + 2*a - a + a - a - a + a - a - 2*a + (0 - 1 + 3)*(-4*a + 0*a + 5*a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-45)\/18 + 2)\/((-4)\/16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*o - 16*o + 3*s = 68, 3*o + o = 3*s - 113 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t - 0*w + 36*w - 108, 2*w = t + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 17 + 55)*(-2*r**3 - 30*r**3 - 6*r**3).\nAnswer: -2736*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3638017882 to the power of 1\/3, to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61443 is divided by 131.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 2, 9, -1, 368 in increasing order.\nAnswer: -3, -1, 0, 2, 9, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -443*o - 4855. Calculate m(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -88486\/7 + 29377023\/2324. What is the common denominator of s and -83\/20?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 510814019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*j**3 + 3\/5*j - 1\/5*j**5 - 2\/5*j**2 - 1\/5 + 3\/5*j**4.\nAnswer: -(j - 1)**4*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 129 divide 7305270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -877286 divided by 1.\nAnswer: -877286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - -102)\/((-2)\/(-2)). Let r(s) = s**2 + 6*s + 2. Let i be r(-7). Let h = 6 + i. What is the highest common divisor of v and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*c - 12088 - 9098 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 8*z**2 + 3*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cicg when four letters picked without replacement from pmiomcgppcc?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-164)\/(-164))\/((-46)\/(-4))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 121 divide 4871339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 1:36 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*q = 5 + 9, 0 = -5*y + 5*q + 15. Sort 4, y, 1\/2 in decreasing order.\nAnswer: y, 4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d**3 - 3*d - 1. Let q(z) = -3*z**3 - 2*z - 1. What is 2*p(v) - 3*q(v)?\nAnswer: 3*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 56660477.\nAnswer: 169981431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*1*sqrt(44) - (sqrt(44) + 0 + -2)) + 2.\nAnswer: 4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9455 and 383690.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = p - 4. Solve p - 5 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 5 - 7 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 AM and 6:41 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b - 5*k + 494 - 480, 0 = -5*b + 2*k + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 + 378*t**3 - 6*t**2 - 377*t**3 + t + 20. What are the prime factors of l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -4*z**2 + 6*z - 7. Let i be n(5). Let x = -74 - i. Solve 4*h = x*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 90840?\nAnswer: 90840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(57)\/((sqrt(3) + 2*sqrt(3))*3)*-5)**2 + ((4*(-1 + sqrt(2736)) - sqrt(2736)) + sqrt(2736) - (sqrt(2736) + (sqrt(2736) - (0 + sqrt(2736))) + 3))**2.\nAnswer: -504*sqrt(19) + 1998988\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 7*t + 3*t + 2*t - 3*t = 7*t + 72, -5*t - 30 = -37*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -1. Let r(d) = -d + 3. Let u(n) = -3*o(n) - r(n). Suppose -a + 5 = 2*m, 5*a = -4*m + 4 - 3. Let k be u(m). Solve 0 = -0*i - i - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x + 3. Let q be i(1). Solve -g - 11 = -3*j, q*g + 12 = j - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 113*-8.47.\nAnswer: -957.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-1\/24)\/n)\/((n**(2\/13)*n)\/n*n) assuming n is positive.\nAnswer: n**(-373\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 5:45 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (0 + 6 - (21 + -27))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35144?\nAnswer: 2, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m - 33 = -73. Factor 60*w**m - 13*w**5 - 26*w**5 + 6*w**2 + 48*w**4 + 33*w**3.\nAnswer: 3*w**2*(w + 1)**2*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 486\/(-15)*(-35)\/14. Let z be (6\/60)\/(v\/15 + -5). Do z and 90 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 16*i + 12*i + 21 - 41*i + 12*i. Let b(f) = -5*f + 2. Let c be b(-3). Let n be g(c). Put n, -5, 3 in descending order.\nAnswer: n, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -965000889 and -0.5.\nAnswer: 482500444.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 119 = -3*t, -4*t = z + 89 - 242. Suppose -t*i + 36*i + 550 = 0. Suppose -22*r - i = -27*r. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of 9*z**5\/50 - 29*z**4\/10 + 17*z**3\/5 + 27*z**2\/5 - 6*z - 4. Factor b(h).\nAnswer: 6*(h - 9)*(h - 1)*(3*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10716 - 10158. Calculate the remainder when o is divided by 89.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 9*y - 6. Suppose 2*u + 7 = -5*h, 3*u + 2 = -2*u + y*h. Put 4, -4, u, -3 in ascending order.\nAnswer: -4, -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-99)\/(-216)*6*((-5 + 8)\/3 + 0).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 - 59*i - 42. What is the units digit of h(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3029 and 1091129?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b**(4\/3)\/b*b))**(-29))**(-6) assuming b is positive.\nAnswer: b**(-232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 + 8*m**2 + 5*m - 8. Suppose 17 + 73 = 5*q. What is the common denominator of ((-143)\/(-40))\/(q\/(-24)) and p(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a**3 - a**2 - 2*a - 18. List the prime factors of r(-4).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/((-3)\/4) + 0. Let s = o - 0. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -46*z**2 + 262*z - 1425. Give n(9).\nAnswer: -2793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -530, -7, 2 in ascending order.\nAnswer: -530, -7, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2186825779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6, -32 in decreasing order.\nAnswer: 0, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 187 - 184. Suppose -n*c = -5*r - 4*c + 5079, 4*c = 4*r - 4068. List the prime factors of r.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 61694204 and 1404?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3261191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of 17*v**4\/24 + v**3\/6 - 15*v**2 - v. Determine u(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9 and -1281?\nAnswer: -11529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 276.8676cm to millimeters.\nAnswer: 2768.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 7*z**2 - 12*z - 5. Let x = -30 + 22. Let f be n(x). Suppose 3*b + 0 = f. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**4 - q**4 - 3*q**4)*(1136 - 1136 + 9*q) + (2*q**3 - 5*q**3 + 2*q**3)*(2*q**2 - q**2 - 3*q**2).\nAnswer: -16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of r**3\/3 + 2*r + 4. Let n be l(0). Solve -n*y + 0*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-10) - (-2302)\/(-5). Let h = 640 + b. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 2:47 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 43203.\nAnswer: 12960.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 6 = -14, 2*g - 9 = t. Solve g*z = 4*d + 24, 67*d + 4*z - 12 = 66*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 699*h + 649. Let l be o(-1). Which is the second smallest value?  (a) l  (b) -3\/4  (c) -4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from foffqfecqcoeoecozoo?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 59 - 63. Let c(p) = p**3 + p**2 - 1. Let n(w) = w**2 + 3*w**3 - 2 + 5*w**2 - 4 - w**3. Calculate t*c(m) + n(m).\nAnswer: -2*m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - f - 1. Let o(a) be the third derivative of a**4\/3 + 4*a**3\/3 - 3380*a**2. What is -8*h(t) - o(t)?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, a: 7, l: 3, h: 7}. What is prob of sequence lla?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/3*(-294)\/1372.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19487938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7178 + 7185.282. Let t = 0.018 + n. Let y = t + 0.7. Which is bigger: 2\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2\/4 - 611271*i\/2 - 23228659\/4.\nAnswer: (i - 1222561)*(i + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 17 = -2*z. Let g(n) = -2*n + 2. Let f be g(-2). Suppose z + 63 = f*w. Which is greater: w or 11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -519*u + 498*u + 105 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z + 3*z - 4*z + (3 + 3 + 2 + (1 - 3 + 0)*(2 - 3 + 2))*(-4 + 4 - 2*z).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-77022)\/(-110) - 2\/10. Suppose r + 4*y - 40 = 124, 0 = -4*r - 5*y + q. What is the greatest common factor of r and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i**(2\/43)\/i)\/(((i**(-4\/13)\/i)\/i)\/i))**(2\/41))**29 assuming i is positive.\nAnswer: i**(108750\/22919)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**5\/5 + 3694*z**4\/5 - 1711238*z**3\/5 + 1022314*z**2 - 5104192*z\/5 + 1700168\/5 = 0. Calculate z.\nAnswer: 1, 922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4114949532.\nAnswer: 2, 3, 89, 3852949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5 - (-3 + -1 + 2). Suppose -59 = -p*v + 6*v. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (6 + (4 - 2))) + 3220 + -3213.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7.3 - 7. Let b = a - 0.4. What is the closest to b in -5, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 73272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**5\/5 + 3*f**4 + 228*f**3\/5 - 1824*f**2\/5 + 3744*f\/5 - 432 = 0.\nAnswer: -10, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 5 + (-1 - 4 + 1)*(-4 - 1 + 3))*(-2*i**4 - 1 - 2*i**2 + 2*i**2 - 3*i**2).\nAnswer: -12*i**4 - 18*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, w: 5}. What is prob of picking 3 x and 1 w?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(891)*2 - (2*2*sqrt(11))**2)*4.\nAnswer: -704 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.043855802 to four dps.\nAnswer: 0.0439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*y**5 - 2*y**4 + 8916333*y**3 + 39197909*y**2 + y wrt y.\nAnswer: -120*y**2 - 48*y + 53497998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 394 - 396. Which is the closest to -2?  (a) -6\/11  (b) -0.1  (c) z  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 1963*w + 731. Does 173 divide q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - 3*g**2 - 2*g - 3. Let z be w(4). Let s(h) = -2*h**3 - 12*h**2 - 3*h - 15. Let b be s(-6). Sort 1, b, z in increasing order.\nAnswer: 1, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7902221 and 20?\nAnswer: 158044420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, z: 2, r: 4, p: 6, y: 1}. What is prob of sequence rq?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-5016)\/(-132) - 167)\/((9\/(-2))\/3)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -283 + 277. Put -2, j, -7 in decreasing order.\nAnswer: -2, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 36 - 40 - 1*-4. Suppose -16*f + 8*f = t. Solve 4*j + 8 = -3*r, j + f*j + 2 = -5*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -11. Let f(o) = o**3 - 2*o**2 - 3*o - 1. Let t be f(3). Let h be (9\/(-6))\/t - 1. Sort h, u, -4 in decreasing order.\nAnswer: h, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -9. Let r = 5 - f. Let k(j) = -449999*j**3 + 2*j**2 - 1. Let i be k(r). What is i rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2765064056 - 5\nAnswer: -4.7234935944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 5*o = 12, -i + 639179*o = 639174*o - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 140\/(-96)*2*-3 + 33\/(660\/(-70))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -18521086 and -27.\nAnswer: 500069322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (1 + (sqrt(475) + 1)*3 + 4)*2.\nAnswer: 12 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 24*f**4 + 0 + 154*f**2 - 153*f**2 to b*f**4 + u*f**3 + j*f**2 + s + w*f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -11628*y**2 - 171*y - 171. Let n(z) = 342*z**2 + 5*z + 5. Give -171*n(t) - 5*p(t).\nAnswer: -342*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaabbabbababal. What is prob of sequence lba?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 25\/4  (b) -1  (c) 1  (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = v + 9, -14 = -2*r - 3*r + 4*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 3*y**3 - 2*y**2 + 3*y - 2. Let h be l(1). Let b(w) = -w**2 - w + 6. Let r be b(0). What is the greatest common divisor of h and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/8)\/(9\/(-36)). Put -66, f, 0.5 in increasing order.\nAnswer: -66, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 26 + -0.0455.\nAnswer: 25.9545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, 0.2, 0.4, 496 in increasing order.\nAnswer: -2, 0.2, 0.4, 3, 496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 82 - 80. Solve v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -3  (c) 4  (d) 3\/32  (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 595\/(-68) + 498\/(-8)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1  (b) 2\/3  (c) -2  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -100494, -200974, -301438, -401880, -502294, -602674?\n\"Answer: x**3 + 2*x**2 - 100493*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 13*n + 97*n + 1076*n - 1.\nAnswer: 1160*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2059729, 2059624, 2059519, 2059414?\n\"Answer: -105*y + 2059834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34.95082 centuries to years.\nAnswer: 3495.082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 20, -32, 34403?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/21)\/(((-2)\/(-6))\/(26\/(-130))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -110*s + 127*s - 6426. Does 42 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 33*y + 1. Let d(l) = l**2 + 0*l**2 - 2*l**2 + 0*l**2. Determine d(j(w)).\nAnswer: -1089*w**2 - 66*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17 + 19. Suppose -c*q + 4 = -6. Suppose -q*r + 2*w = -282, -2*w + w - 169 = -3*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + -1 - (16 - (-13 - -23))) + -16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 6, y: 2, j: 1, q: 3, n: 2}. Give prob of sequence qj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 14 = -2. Suppose 1008 = y*m - 0*m. Calculate the highest common divisor of m and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3.8, -2\/5, 0.3, -23, -3?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 30, 7, -16, -39, -62, -85?\n\"Answer: -23*a + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -31*i**3 + 0*i**4 + 3*i**4 + 32*i**3 - 2*i**2 - 5*i in the form h + j*i + m*i**3 + y*i**2 + t*i**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**2\/2 - 189*v\/2 - 588.\nAnswer: -3*(v + 7)*(v + 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -14, -31, -54, -83, -118?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 85?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 349412 + -1.\nAnswer: 349411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11212148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (1067\/(-33))\/(((-1)\/(-39))\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*((-2596419)\/118017 - -22). Is 0 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.22 - 0.32. Put -0.12, s, 2\/9 in decreasing order.\nAnswer: 2\/9, s, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-63 - -112) + -72?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from skgccrcsc. What is prob of sequence cc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrerrrrrreerrr. Give prob of picking 3 r.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*r - 34 = 3*a - 106*r, -5*a + 4*r = 56 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1845*b + 7344 + 14604 = -26022 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103 = -x - 2*s + 132, 32 = 3*x - 5*s. What is the remainder when 758 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*a**2*g**2*y**3 - 4*a**2*g**2 + 20*a**2*g*y**2 + a**2*y**3 - 2*a*y**3 - 2*g**2*y**3 wrt g?\nAnswer: 18*a**2*y**3 - 8*a**2 - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 179*x**2 - x. Let p be u(-1). Suppose -7*i = -12*i + p. What is the highest common factor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (138\/(-8) + 18)*-12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 10 - 1)*(353*o + 1 - 26*o + 26*o + 3 - 3 - 2*o + (2*o - 2*o - o)*(1 + 2 - 1)) to u*o + i and give u.\nAnswer: -4886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6633643033 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-520)\/(-195))\/(848\/108 + -8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ojx when three letters picked without replacement from pxjohojpojjpo?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 92*h**2 + 92*h - 94. Determine z(91).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*o + 2*o - 2 + 4 - 106*o to the form h*o + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 2:27 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 8*r**2 - 1. Let g be x(1). Suppose 4*w + 6 - 14 = 0. Find the first derivative of -g + 1 + w + 2*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 376 and 143068.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -2. Let t = -14 - h. Find the common denominator of -32\/7 and ((-9)\/12*166)\/t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/((1 + -3)*1). Let z be 34\/10 + (-4)\/10. Find the second derivative of 2*f - 3*f + z*f**2 - y*f**2 wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/(-6))\/((-8)\/32). Find the third derivative of -12*p**2 + 3*p**6 - p + p + 0*p**a wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 329185775*l**2*o - 82*l*o - 2*l + 6132*o - 111 wrt l?\nAnswer: 658371550*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3002 is divided by 515.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4\/5, 746, -0.43289 in increasing order.\nAnswer: -0.43289, 4\/5, 3, 746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 292319, 584622, 876923, 1169222, 1461519, 1753814, 2046107?\n\"Answer: -g**2 + 292306*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 109.024.\nAnswer: 32.7072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*f - 25*f + 29064 = 0. Suppose 5*v + j = f, -2*j - 9 = j. Suppose 126 = -5*q + v. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 87150*j**4 - 19965*j + 2 wrt j?\nAnswer: 1045800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = a + 60, 0 = a - 5*a + 2*f - 220. Let y = a + 54. Sort -5, 37, y.\nAnswer: -5, y, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 463474575 a multiple of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 847\/3 - 282. Let x(t) = t**2 + 8*t - 7. Let o be x(-9). Suppose -o*l - 5 = 3. Which is the third biggest value?  (a) -5  (b) f  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 21 = 5*l, 5*x - 21 = -4*l + 6. Suppose 60 = -h + l*h - 4*c, -h - c = -27. What is the highest common divisor of 224 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27508 is divided by 210?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4158 divided by 27.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) + 5*1*sqrt(121) + ((sqrt(121) + sqrt(121)*-1)*-3 - sqrt(121)))\/(sqrt(704) - (sqrt(704) + (sqrt(704) - -5*(sqrt(704) + 2*sqrt(704))))))**2.\nAnswer: 275\/16384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**5 + 5*k**4 - 72*k**3 - 360*k**2 + 1296*k + 6480 = 0. Calculate k.\nAnswer: -6, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1423, -5060, -11139, -19660?\n\"Answer: -1221*s**2 + 26*s - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 3*s = 3*d + 109, -4*d = s - 51. Suppose s = -3*c + 103. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/3*c + 0*c**2 + c**5 - 8\/3*c**4 + 0 + 2*c**3 = 0 for c.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d - 1361. Calculate x(-13).\nAnswer: -1387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1414)\/112 + (-6)\/16. Is x*-2*148\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44.471 - 0.571. Let u = h - 43.609. Round u to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**3 - 1268*u**2 - 7716*u - 11628.\nAnswer: 4*(u - 323)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - (-1 + -7 + 8)) + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -246*s - 11. Let x be f(1). Let r = 263 + x. Solve -2*a - 4*l = -6*l - 12, 5*a + 3*l - r = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2*y**2 - 25*y - 82. Give j(-16).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 269\/2 + 4\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93 (base 11) to base 3.\nAnswer: 10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/2447773 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 + -13. Let v = r - 8. What is the nearest to -1 in -0.4, v, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62205923?\nAnswer: 13, 103, 46457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (10 + 3 - 4) + 0 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 38446, 38728, 39480, 40936, 43330, 46896, 51868?\n\"Answer: 39*v**3 + v**2 + 6*v + 38400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j**2 - 31*j - 24. Let r(k) = k**2 - k - 2. Suppose 11*i = -7*i + 18. Let h(q) = i*l(q) - 2*r(q). Let x be h(30). Solve -w - x = -6*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-2)\/s*s)\/s**(2\/9))\/(s**(2\/5)\/s**(5\/4)) assuming s is positive.\nAnswer: s**(-247\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(130)\/(6*sqrt(250)).\nAnswer: sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1  (b) -2\/17  (c) 1\/2  (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -16*x. Let f(z) = 196*z - 4 - 227*z + 2 + 0. Calculate b(f(o)).\nAnswer: 496*o + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 501297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 PM and 5:16 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/((w\/(w\/(w**(-3)\/w)*w))\/w)*w*w**4 assuming w is positive.\nAnswer: w**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5088 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tfrgrgmb. Give prob of sequence tg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 4 - 42695*w**2 - 2 - 2*w.\nAnswer: -42695*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*k + 2. Solve 3*d - 11 - k = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: How many millilitres are there in 3.997474l?\nAnswer: 3997.474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68 divided by 81.\nAnswer: 68\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, t: 5, e: 4, q: 8}. What is prob of sequence qqkq?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*4*sqrt(114) - sqrt(114)) + sqrt(114))*-1)\/(sqrt(96)*-5 + -2*(sqrt(6)*1 - sqrt(6))).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-46))\/(24\/(-246)) + (-94 - (-259560)\/2760).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1*-1*sqrt(5472) + sqrt(5472) + sqrt(5472)))\/(-5*(sqrt(288) + (sqrt(288) - sqrt(288)*1*5))).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of -k**7\/14 + 3*k**5\/4 - 2*k**3 + 25*k - 9. Let p(x) be the first derivative of a(x). Determine j, given that p(j) = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/13?  (a) -234  (b) -18.8  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a minute in seconds?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -3*t**3 - 1 - 13*t**2 - 154136*t + 5*t**2 + 2*t**3 + 154138*t. Give a(-9).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4977844*c - 19911378*c + 4977841*c + 4977848*c + 4977846*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 186 and 14.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 540 and 20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*-2*(-7)\/2. Suppose 0 = -h + 11 - y. What is the derivative of k**4 + 2*k**h - 1 + 0*k**4 wrt k?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 210*g - 5609. What is o(26)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(2 - (-2)\/(-4)). Let p be (2 + -3)\/(1\/g). What is the common denominator of 3\/(p - (-105)\/(-36)) and 101\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 254100 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(20) + sqrt(20) + (sqrt(20) + -1 + -1)**2 + -4.\nAnswer: -4*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (47*f - 46*f - f - 221*f**3)*(20*f - 6*f + 4*f) in the form v*f**4 + y*f**3 + b*f + i + p*f**2 and give v.\nAnswer: -3978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -9*i. Let n(l) = 38*l**2 - 4*l. What is n(j(y))?\nAnswer: 3078*y**2 + 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 10*z**2 + 6. Let m be (-33)\/(-1 - -4) + 1. Let d be f(m). Calculate the greatest common factor of 54 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4181 = -5*d - 5*j + 4301, 0*d + 6*d = 2*d + 5*j - 84 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from gfffwffwffffffwffffg.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 425*u**4 + 123423*u**3 - 189103944*u**2 wrt u.\nAnswer: 10200*u + 740538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20022212 + 12?\nAnswer: 20100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 3*l**2. Let j(n) = -42*n + 42*n - n**2. What is k(j(c))?\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dld when three letters picked without replacement from ozdddldox.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 1896*k - 15231. Calculate a(8).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 10  (b) -3\/7  (c) -1\/11  (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + l - 3*l**2)*(-3 - 20*l - l**2 + 20*l).\nAnswer: 3*l**4 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 13\/6  (c) -0.3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 2*o + 106 - 45 = -5*i, -2*i = 5*o + 37 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*d - 5191 = 296*d + 1945 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -4800*c. Let g be d(10). Round g to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 1147*y + 572*y + 2 + 567*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1791926582 and 326.34?\nAnswer: 1791926908.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/3*1\/(-3). Is 1 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.056168 rounded to 0 decimal places?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 10:01 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 13. Let s be 4\/y - 40\/(-25). Suppose 5*p + 5 = 0, 2*w + s*p = -0*w + 36. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/19760076 and -41\/14114340?\nAnswer: 98800380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 53 = 2*d - l, 5*d - 4*l - 40 = 0. What is the highest common divisor of d and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1\/8)*v\/(((((v**(2\/5)\/v)\/v)\/v)\/v)\/v)*v\/(v\/(v*(v\/(v\/(v\/((v*v**5)\/v))))\/v))*v\/(v**(-2\/13)\/v)*v)**(3\/29))**30 assuming v is positive.\nAnswer: v**(747\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -70933*x**5 - 2609*x + 7 wrt x?\nAnswer: -1418660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 4*n + 21 = 0. What is the greatest common divisor of 14 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -116 + -4a72?\nAnswer: -4b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 177 by -5.\nAnswer: -177\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425) + 0 + 2)**2 + 3 + (sqrt(425)*2)**2 + sqrt(425).\nAnswer: 25*sqrt(17) + 2132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 708754447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4669 + 102 + 4759*o - 924 with respect to o.\nAnswer: 4759","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-2)\/(-3))\/(6\/9 + 81008\/(-121536)).\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4126045 - 2?\nAnswer: -4126050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-3))\/(-8*13\/(-3432))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 321 - 1159*z + 316 - 636*z - 168*z - 638 to the form b + r*z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -1878, -53, -187 in decreasing order.\nAnswer: -53, -187, -1878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 4, o - 3 = -c + 9. Suppose -m = -5*m + 188. What is the remainder when m is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 80 + -1708?\nAnswer: -1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-3)\/(-9)*-1)\/(2\/12). Do -16\/9 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58, 214, 944, 2360, 4690, 8162, 13004?\nAnswer: 19444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 39*b + 893. What is q(-23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 46868004 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 637.0994 millilitres to litres.\nAnswer: 0.6370994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g + 3*g + 140 = 0. Solve -3*m - g = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 194 divide 6017070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 1119 - 1098. Suppose -1855 = -3*p - 5*m, s*p + 4*m - 1859 = 18*p. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9\/(-12))\/((-34)\/6120). Let n(a) = -a**3 + 4*a**2 + 2*a + 2. Let g be n(-4). Let o = g + -68. What is the highest common divisor of o and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 1090*l. Let u(m) = 2*m. Calculate u(t(v)).\nAnswer: 2180*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -161 or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79476391.\nAnswer: 79476391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h**3*z - h**3 + 18*h**2*z + 31 with respect to z.\nAnswer: 2*h**3 + 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35b6 (base 13) to base 2.\nAnswer: 1110110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 49\/(-14)*(-24)\/21. Factor -2*m**4 + 47 + 35*m**3 + 25*m - 8*m**t - 96 - 50*m**2 + 44 + 5*m**2.\nAnswer: -5*(m - 1)**3*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, 1, 0.5, 78664, 12 in decreasing order.\nAnswer: 78664, 12, 1, 3\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 5760*n**3 - 13*n**2 - 10*n + 3. Let b be a(-9). What is b rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1849161 litres to millilitres.\nAnswer: 184.9161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 169 + -144. Let q = k - 28. Put q, 18, -5, 4 in decreasing order.\nAnswer: 18, 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(891) + -6*(-2 + sqrt(891)))*2 - ((sqrt(891)*3)**2 + sqrt(891) + sqrt(891))*6*-4).\nAnswer: 342*sqrt(11) + 192483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 70578787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -14*n + 310. Give l(23).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1676 - 0.1009789.\nAnswer: -1676.1009789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2886 - -20234\/7. Let y = 946879 - 8512444\/9. Let s = y + -1047. What is the common denominator of s and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18191*i**4 + 131*i - 59 wrt i.\nAnswer: 218292*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 3*h**3 - 2*h**2 + 2*h - 2. Let z(a) = -3 + a**2 + 3*a + 3*a**3 - a - 3*a**2 + 2 - 2. Give -3*n(r) + 2*z(r).\nAnswer: -3*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44 and 85481.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4117 is divided by 11 + ((-350)\/(-10) - 6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of o**6\/10 + 3*o**5\/20 - o**4\/4 - o**3\/2 - 7*o. Factor y(x).\nAnswer: 3*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 68 - 25. What is the derivative of -350*k**3 + 185*k**3 + u + 197*k**3 wrt k?\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252*s + 114 = -75*s - 6848 + 413 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*2*(-2)\/2*(-2)\/(-12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1))**(4\/5)\/(j*j\/(j*j*j**(1\/2)*j)*j)**(-5))**(1\/12) assuming j is positive.\nAnswer: j**(-11\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -3*m - 399, -2*n + 3*n - 93 = 3*m. Calculate the remainder when n is divided by ((-12)\/15)\/(1 - 67\/65).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 20*y**2 + 2*y + 5. Give x(-2).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/4 + (-11)\/(-4). Let w = 1 - z. Let d be -6*((-15)\/(-9) + w). Calculate the greatest common factor of 18 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -3\/7, -0.164, 4, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2210, -8875, -19996, -35585, -55654, -80215?\nAnswer: -109280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28061.\nAnswer: 11, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1075435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 830 = -32*h - 2*l, 4*l = h + 2 + 28 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1667166*h**3 + h**2 - 348319.\nAnswer: 10002996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nsan when four letters picked without replacement from ssaaannssnn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(125) + 2 + sqrt(125))*4)**2 + -4 - (5 + 3*-2*1*sqrt(125)).\nAnswer: 670*sqrt(5) + 8053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15886 divided by 6.\nAnswer: 7943\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3034 is divided by 615.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 188 divide 6768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*w - 88*w = 67*w - 828 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 2*k + 4*m = 28, -2*k + 2*m + 6 = 0. Let c = 7 - k. Solve -40 = 4*q - 4*z, -2*q + 5*z - 45 = c*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pqqqqppqqp. What is prob of sequence qp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42722 and 11667274?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -45*g**3 - 820*g**2 + 7695*g + 1750 = 0.\nAnswer: -25, -2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {i: 4, s: 5, v: 1, o: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1011\/9)\/(((-28)\/(-50208))\/7). Suppose 0 = -2*d + 5*v - 564020, d - 2*v = -4*d - u. What is d rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -17, -36, -41, -26, 15, 88, 199?\n\"Answer: c**3 + c**2 - 29*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 316 + 2111. List the prime factors of f.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 6 + 0 = a, -a + 18 = 5*i. Let r(s) be the first derivative of 3*s**2\/2 - s + 8. Let f be r(a). What is the highest common divisor of 56 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35836, 290512, 981758, 2327854, 4547080?\nAnswer: 7857716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -823 (base 13) to base 10\nAnswer: -1381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (2 + sqrt(15)\/sqrt(3) - (sqrt(5) + sqrt(180) + 2*sqrt(180))**2).\nAnswer: -1803 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 - 9*v - 3. Suppose 3*j + 29 - 129 = -2*c, -c = -2. Let k = 24 - j. Give u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 216055 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 392 + 568. What is the greatest common divisor of 48 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 207298 and 8040.\nAnswer: 12437880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4\/7, 21.633, 2\/17, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 46?  (a) 0.04  (b) -0.5  (c) 252021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(5 + sqrt(52)*-1*1 + (sqrt(117) - (sqrt(117) - (6*(sqrt(117) - (sqrt(117) + 2*sqrt(117) + sqrt(117))) + sqrt(117))))\/(-2*sqrt(81) + sqrt(81))).\nAnswer: -11*sqrt(13)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 + 12215*j**2 - 15 - 23 - 57 - 12214*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 377*s**2 - 5765*s - 175. Calculate m(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 156 - 57. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 174190 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of -5*q**7\/42 + 3*q**6\/2 - 13*q**5\/2 + 85*q**4\/6 - 35*q**3\/2 + 25*q**2\/2 + 2*q - 21. Let k(i) = 0. Calculate i.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6117*g - 11968*g - 11684*g + 9186*g as t + d*g and give d.\nAnswer: -20583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = v + 5*z, 0*v + z = 2*v - 10. Suppose v*q + 4*a - 44 = -0, 0 = 3*q + 3*a - 42. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/6)\/((-1)\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 - 193 = -25*x - 108. Sort 29, 10, -4, x in ascending order.\nAnswer: -4, x, 10, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15612225 by -6063.\nAnswer: -2575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -2*r - 64. Let f = r - 38. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*1*(-1)\/(11\/(66\/(-30))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1147700431.\nAnswer: 1147700431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -26*s**4 - 4*s**3 - 4*s - 42. Let a(i) = -27*i**4 - 3*i**3 - 3*i - 43. Let v(g) = 4*a(g) - 3*u(g). Differentiate v(l) with respect to l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -4*a**5 - 540*a**4\/7 - 376*a**3\/7 + 4752*a**2\/7 - 2656*a\/7 - 1152\/7 = 0?\nAnswer: -18, -4, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o - 8. Let t be g(11). Let d(z) be the first derivative of 1 + 0*z**2 - 4\/3*z**t - 4*z. Differentiate d(q) with respect to q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81 - 5*f - 38 + 7*f.\nAnswer: 2*f - 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 4*q = 2*i - 8, 0 = -4*i - 2*q + 40. Solve -n - i = -4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -133531 + -5?\nAnswer: -133540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v + 6. Let f be r(-6). Suppose f = -4*b + 9*b - 15. Suppose b*l - 18 - 36 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1 from 0.0243938.\nAnswer: -0.0756062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -263 >= -263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*11\/(-14) + 59\/(-413).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -30*j. Let h = -1 - -2. Let q be y(h). Is 6\/q - (-772)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1583654.354 to the nearest 1000.\nAnswer: -1584000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 665\/6 - 111. Let j = 3 - 4. Which is the second smallest value?  (a) x  (b) j  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 1833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {p: 3, g: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/903396 or 0?\nAnswer: -1\/903396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -3*p - 16, 8*l + 16 = 4*l. Let w = 3.1 - 6.1. Put 3, w, -2\/5, p in decreasing order.\nAnswer: 3, p, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58550539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 3 = 1. Suppose -3*f + 634 = -f. Suppose -2*b - c*i = -210, b = -2*b - 5*i + f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -5, 1\/4, -1\/4, -0.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = -3*v - 14, 3*v + 953*u + 4 = 955*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32215 - -32215. Let o(t) be the first derivative of -20\/3*t**3 - 11 + 25*t + s*t**2. Differentiate o(a) wrt a.\nAnswer: -40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20\/(-528)*(80486\/25 + -4) - 1. Let r = 4831\/2 - 50361\/22. Let o = r + j. Calculate the common denominator of o and 131\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5705 - 2455. Calculate the highest common divisor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(64)*-2*6)\/(sqrt(8) + sqrt(1152) + sqrt(1152)*-2 + sqrt(1152))*1 + -1.\nAnswer: -24*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = -q - q + 2, 3*q = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-26)\/((-9)\/(27\/(-6))). Let h = 15 + o. Suppose 6*m = h*m + 20. Solve -m = -3*r - 2*u, 0*u - 2*u = -4*r + 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6.67 - -6.4. Let q = 0.03 + u. What is q rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.228 - -0.018. Let w = b + 0.01. Let a = 5 + -4.7. What is the second smallest value in a, w, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 119  (b) 4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 90\/10 + (-5 - (-2 - -2)). Let k(g) = -g - 13. Let n be k(-14). Put -4, n, p, -3 in descending order.\nAnswer: p, n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5 = -3*i, i - 7 = -3*t + 13. Suppose c = 2*c - t. Solve -c*f + f - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22780325 divided by -4?\nAnswer: -22780325\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1955 + -1944. Let d = -25\/2 + 123\/10. What is the second smallest value in d, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -34  (c) 10\/17  (d) 1\/10  (e) 3016  (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0052859336 rounded to 4 dps?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 2*d**2 - 2 + 2*d**2 - 2*d**2 + 5*d**2 + 4 - 4 - d**2 + (3 - 3 + 2)*(d**2 + d**2 + 0*d**2) + 0 - 2*d**2 + 0 + d**2 + 62*d + 21091 - 21091.\nAnswer: 9*d**2 + 62*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 PM and 11:38 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*d - 7*d**3 - 61*d + 28*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 115847478 to the nearest integer?\nAnswer: 10763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 929, 2770, 7779, 17540, 33637, 57654?\nAnswer: 91175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 305  (c) 19  (d) 2067\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (9574 - 213*v - 9574)*(4 + 2*v**2 - 4) in the form y*v**2 + l*v + h*v**3 + o and give h.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 219113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (31540 + 31113 - 63349)*(-7*t**3 + 2*t**3 + 3*t**3) to v*t**2 + g*t**3 + r*t + h and give g.\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -2\/7, -3, 0.0784, -4?\nAnswer: 0.0784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1722.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8347 - -8346.9842872. What is y rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 379 - 379. Suppose k = 3*q + 38*q - 5166. What is the lowest common multiple of q and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 6:28 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 2*y**2 + 3*y. Suppose 11*p - 3*p + 0*p = 0. Let i be k(p). What is the second smallest value in i, -8, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 6*r + 26. Let s be f(-5). Let u be (-378)\/10 + 1\/(-5). Does 25 divide (u\/s)\/(4\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 2. Suppose 3*m = -g - 10, -g - 5*m - 14 = 2*g. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-32))\/(13\/8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7326 + 14653\/2. Let f = -1.8 - -2. What is the fourth smallest value in c, f, -0.1, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54637600 rounded to the nearest 100000?\nAnswer: 54600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2453 = -33*u + 22*u. Let t = -219 - u. Solve 2*v = -t*h - 2*v - 4, 5*h = -4*v - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*o - o - 4*o)*(-2*o**3 - 2 + 2) + 2*o**4 - o**4 + 0*o**4 + (-o + o + 2*o**4)*(0 + 1 + 2) in the form h*o + c*o**3 + q + u*o**4 + s*o**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/12 - 56\/(-48). Is (-1 - -2) + 9\/t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -471, -472, -473, -474, -475, -476?\n\"Answer: -d - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 - 132*i**2 - 149*i - 1903. What is g(-131)?\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x - 6. Let p be w(-8). Let h(i) = 2*i + 3 - 3 + p*i. Let u(b) = 222 + 4*b - 222. Give h(u(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/((-164934)\/1449 - -114)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 10, 4, 4\/5, -231, -1\/3, -0.4?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 914*-0.3.\nAnswer: -274.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11\/57 + -1\/38. Sort -0.5, 0, g, -2\/7.\nAnswer: -0.5, -2\/7, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1260307 + -0.15?\nAnswer: -1260307.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of 0 + 2\/3*v**3 + 1\/2*v**2 + 2*v. Suppose 2*c + 1 = 3*c. What is q(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -16*h**6 + 309*h**2\/2 + 436*h - 1. Find the first derivative of n(g) wrt g.\nAnswer: -1920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 133 + -123. Suppose 0 = -6*s - i*s + 32. Which is the nearest to 2?  (a) s  (b) -2\/3  (c) 1\/7  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/19?  (a) 5  (b) 2  (c) 99\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 2*i. Let a be o(2). Suppose a = k + 1 - 4. Let x(u) = -4 + u**2 + 3 + k - 5*u - 4. Calculate x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7909 (base 11) to base 3.\nAnswer: -112021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-260)\/30 - -6)*(-2)\/16. What is the third biggest value in -2\/3, d, -0.0595?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 3766*s**2 - 291993*s - 71. Determine x(-76).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1948 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 - 10*b + 1. Calculate the remainder when 45 is divided by w(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kv when two letters picked without replacement from vkkvvukvu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 17*y**2 + 32*y + 5. Let n be b(15). Let c be -1 + 16 + 1 + -2. Calculate the greatest common divisor of n and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4552548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, l: 2, u: 1, x: 1}. Give prob of sequence xl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 33806578, 0, -1 in increasing order.\nAnswer: -1, 0, 33806578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ullilllllufiluiulil. What is prob of picking 1 f and 2 i?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 321*w + 1284. Let n be u(-4). Which is the fourth smallest value?  (a) -2  (b) -1  (c) 2\/19  (d) 6\/25  (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4\/5 - 13*w**3\/5 - 33*w**2\/5 + 77*w\/5 + 98\/5.\nAnswer: -(w - 2)*(w + 1)*(w + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 39 - 4 = 5*x, -2*x + 19 = -3*r. Suppose 6 = x*q - 0. Solve s + 8 = q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 20 = -4*m - m, 0 = -4*w - 2*m + 18. Suppose -3*z - 13 = -2*k, -2*z - 2*z = w*k + 2. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 64 and 44322528?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 184224 divided by -61408.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 5*n + 4 = 0, 0*d + 11 = -4*d + n. Let i be 2\/d - 17\/(-3). Let s = i + 4. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -q + 30. Suppose -q*o + 14*o - 16 = 0. Sort 2, o, -4 in decreasing order.\nAnswer: o, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1771 by 7.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 6*w = -8. Suppose 46 = -3*k - 4*n, -k = w*n - 3*n + 14. Let t(u) = -u - 14. Determine t(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -103.197, 41, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -8*p + 2*p. Let o(n) = -2*n - 5. Suppose -5*r + r = 20. Let m be o(r). Solve p = m*a - 2*i - 21, -4*a - 2*i + 29 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 + 8*o + 10. Let v = 6 + -13. What is the units digit of k(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*z - 5*z - 2*b + 1 = 0, 0 = 3*z + 4*b + 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1030200.42 and -54?\nAnswer: 1030254.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*n - 78 - 102 = 110 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1)\/1)\/(-44*(-17)\/2244))\/735?\nAnswer: -1\/245","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 112210 (base 3) to base 9.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 15*z**2 - 2*z + 1. Suppose 4*u - 9 - 3 = 0. Let o = -2 + u. List the prime factors of a(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*m = -88, 5*m = f - 10 - 123. Suppose -4*k - 4 = -6*k. Suppose 0 = k*u - 6*u + f. Calculate the greatest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 + 50*h**2 + 479*h - 107. Calculate f(-37).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14061 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 - 8*s**2 + 10*s + 10. Let w be t(6). Suppose 0 = 5*j - 3*d - 15, 3*j - j + 4*d = 6. Suppose b - j*b - 2 = 0. Sort -5, w, b.\nAnswer: -5, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98545241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2691\/52)\/((-1)\/(-4)). Calculate the highest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -12866, -12854, -12832, -12794, -12734?\n\"Answer: y**3 - y**2 + 8*y - 12874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 242*v + 17. Let q(s) = -1212*s - 93. Calculate -22*d(h) - 4*q(h).\nAnswer: -476*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55\/24 - -133\/120. Let v be 4 + 2 + (-1 - 1). Suppose 4*h - 13 = -v*j + 7, -3*h = -3*j - 9. Is h at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -29 + 71 - 23 - x - 26. What is w(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wdrvdr. What is prob of sequence vvdw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 0 + 0)*(3 - 6 + 1) + 3 + 1 - 3 + 0 - 2 + 0 - 6 + 1 + 3 + (2 - 3 + 3)*(0 + 1 + 1) + 0 + 6 - 5)*(-y - 1 + 1)*(-2*y**3 - 2*y**3 + 0*y**3).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 15*z**3 + 2*z**2 - z. Let y be (-4)\/28 - (-8)\/7. Let j be c(y). Let x(b) = 3*b - 43. Let v be x(j). Solve 3 = t + v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-4)*(-1572)\/1834.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 214932 at least as big as 214934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -635 - -638. Suppose 3*g = -p + 2*g - 2, -18 = -3*p + a*g. Solve -15 = 4*j + 5*f, -3*j = f + 5 - p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2210575 is divided by 1744.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 AM and 10:33 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 - 16*s + 17. Let y be a(-17). Suppose 0 = -2*v + 4 - y. Factor -127*o - 4*o**v + 3*o**4 + 135*o - 2*o**4 - 2*o**3.\nAnswer: o*(o - 2)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = 4*l + 61. Suppose l*m - m = 34972. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38390243 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 536.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -o**2\/2 + 3. Let q = 6 + -4. Let i(y) = 0 + 0 - 5*y**q. What is n(i(f))?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -296*l**4 + 3*l**3 + 3*l - 422. Let g(k) = -591*k**4 + 5*k**3 + 5*k - 844. Let n(x) = 3*g(x) - 5*u(x). Differentiate n(h) with respect to h.\nAnswer: -1172*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 12. Let g = 11 - 7. Which is the second biggest value?  (a) 0  (b) i  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*sqrt(117))\/sqrt(9).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 53 = -275. Suppose n - 60 = 2*j + 2*j, -a = -4*n - 2*j. List the prime factors of -3*(n\/(-12))\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/48 and 19\/1200?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -428 = -i - 432, 5*h + 3*i = -17. Sort 1, h, 59, -3 in increasing order.\nAnswer: -3, h, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2032910171?\nAnswer: 199, 2081, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.34 + 7041?\nAnswer: 7053.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2 and 8477071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 6*d + 135. Let r be s(9). Let y(x) = -x**2 - 73. What is y(r)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of 3\/2*u**2 - 17\/3*u**3 - 51*u - 66. What is the derivative of z(a) wrt a?\nAnswer: -34*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w = 20*w - 702. Suppose 3*x = -5*f + w, -14*f = x - 9*f - 8. Solve x - 11 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*q + 106 = 578 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 4*y**3 + 88*y**2 - 3388*y + 21296 = 0.\nAnswer: -44, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 965.3392ml?\nAnswer: 0.9653392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8144 + 16640 = 1132*y + 1012 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 363438.\nAnswer: 2, 3, 61, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11110.\nAnswer: 2, 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**2 - 239*f + 604. Calculate l(-122).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -1. Suppose -46*v + 168 = 30. What is the highest common factor of r and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 + 4*r**2 - 10*r + 1. Let z be n(-5). What is the greatest common factor of z and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -94 + 182. Calculate the highest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162*(2688\/48)\/(-112)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 - 6*u + 4. Let x be j(-6). Let w = 0 - -11. Solve -1 = p - d, -x + w = -2*p + 3*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70032 (base 15) to base 11\nAnswer: -222312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2355 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-7) - (-1798)\/609. Factor -1\/6*y**2 + 4\/3*y - f.\nAnswer: -(y - 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 2*h - 16 = -0, -5*q - 2*h = -5. Suppose -q = 3*g - 0, -5*a = 3*g - 77. Let s = -60 + a. Is -45 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**18*d*d\/(d**(1\/2)*d)*d\/(d**4\/d*d)*d**(-2\/91) assuming d is positive.\nAnswer: d**(-3553\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46 - 46.1. What is the second biggest value in 0, 1\/6, -2\/51, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2 + 3 + sqrt(405)*1 + 4 + 0)**2 + 2.\nAnswer: 324*sqrt(5) + 974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1112\/7 in 0.5, -2\/9, 305?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 4*i**3 - 12 + 17.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 3*t**2 + t + 2. Let j be g(2). Let q(x) = x**3 - 2*x + 1. Let s be q(1). Suppose u + s = 2. Put u, j, -2 in descending order.\nAnswer: u, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**3 - 640\/3 + 2\/9*p**4 - 1504\/9*p - 40*p**2 = 0. What is p?\nAnswer: -4, -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhhhhhhhhhnhhnnhh. What is prob of sequence hhh?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -187*-35275.4.\nAnswer: 6596499.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 291.0000201 - 291. What is j rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v - 1. Let y be (2\/4)\/(11\/66). Suppose -4 = -k, -2*k + y = -h - 5. What is g(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -182415*d + 43*d**2 + 24*d**2 + 182415*d.\nAnswer: 67*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 4*z - 380, -3*z - z = -20. What is the remainder when q is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4219 is divided by 329.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001625 rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1, 20, 51, 94, 149, 216, 295?\n\"Answer: 6*b**2 + b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-12))\/(8\/36). Let o = y - -1\/24. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*5*(4 + 5 + 5 + (sqrt(245) - (-4 + 1*sqrt(245)) - -2*sqrt(245)*-4)).\nAnswer: -540 + 1680*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(540)\/(sqrt(48)\/sqrt(4)) + sqrt(45))*-5)\/(sqrt(144)*4 + (sqrt(900) - sqrt(900)*-2) + sqrt(9)).\nAnswer: 40*sqrt(5)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -70, -90, -110, -130, -150, -170?\n\"Answer: -20*m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from dbbbbbbbbbbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/42*6*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3284287?\nAnswer: 163, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5135209 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 5*s = 4*b - 76, 30 = b - 4*s. What is the remainder when 290 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-15)\/600*-16 - 16366\/(-10). What are the prime factors of 3 + (i - -4)\/3?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -166.912.\nAnswer: 667.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 151 divide 21594057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 153 and 6570?\nAnswer: 111690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5501754 divided by 916959?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 5:51 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28850, 45290, 61730, 78170, 94610?\nAnswer: 111050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 5*k = -139, 4*n - 2*k + 38 = 5*n. Suppose o = 50 - n. Suppose 0 = -0*a + 2*a - 4. Calculate the highest common divisor of a and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 368181416 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 6*y**2 + 44*y - 1776. Does 22 divide l(-53)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/((-1)\/(-2)*153\/102).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s**3 - 4*s**3 - 2*s**3)*(79*s**2 - 77*s + 77*s).\nAnswer: -158*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/46950 and 71\/286395?\nAnswer: 2863950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14494841 + -1.86.\nAnswer: -14494842.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*b**2*q**2 + 82252236*b**2 + 617331*b*q - 2*q with respect to q.\nAnswer: 24*b**2*q + 617331*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - 5 - (-16 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 269742668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*w**3 + 806*w**2 + 2266*w - 7820.\nAnswer: 2*(w - 2)*(w + 5)*(4*w + 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 877384 is divided by 4414.\nAnswer: 3412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 66 and 12458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.57 + 0.07. Sort 2, -4, c, 3 in ascending order.\nAnswer: -4, c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -388*v - 2*j - 10 = -392*v, 0 = j - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48 - (64 + -27)) + (11 - 2 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o - 8*o - 15*o)*(0 + 4 - 2) + o + 0 + 0.\nAnswer: -41*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 1550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -5. Factor a**2 + a + a**4 - 2*a - j*a**2 + a**3.\nAnswer: a*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -83\/1132 - 50\/283. Suppose 3*l = -3 - 3. Sort 3, n, l, 15 in descending order.\nAnswer: 15, 3, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 116, 3074, 12750, 33026, 67784, 120906, 196274?\nAnswer: 297770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 5*x - 445, -r - 5*x + 192 = r. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 2*u + 28, -l + 12 = 5*u - 44. Suppose 21623 = 43*t - l*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.1 + -2. Let f be -15*(-3)\/9 + 15\/(-4). Which is bigger: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 324 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -2*c**2\/5 + 6057524*c - 22933498131610 = 0.\nAnswer: 7571905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 1 + 2)*(-4 + 1 + 0) - 4 + 2 + 1)*(-d + 0*d + 0*d) in the form t*d + q and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of -t**6\/3 - 4*t**5\/5 + 7*t**4\/2 + 40*t**3\/3 + 12*t**2 - 583. Suppose b(k) = 0. What is k?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 - (-14)\/(-6))\/(-1). Let g = -6\/13 + 16\/91. Which is the closest to g?  (a) -4\/7  (b) s  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14 + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7464*a**2 - 7283*a**2 + 14520*a**2.\nAnswer: -227*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 210*c**2 - c + 1. Let g be a(1). Suppose 0*w - g = 4*w + 5*v, -w = 3*v + 49. Calculate the remainder when (8\/10)\/((-2)\/w) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.6 + 1.6. What is the nearest to 0 in -5, c, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37086115 to the nearest integer?\nAnswer: 6090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -87 (base 9) in base 6?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.2 + -2.1. Which is bigger: q or -0.08?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34890 is divided by 2492.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3677, 3672, 3665, 3656, 3645?\n\"Answer: -s**2 - 2*s + 3680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -40, -1, -5, 3, 57, -2, -87 in descending order.\nAnswer: 57, 3, -1, -2, -5, -40, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 12963613 at least 12963614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -447*p**2 - 718*p**2 - 1234*p**2 - 87*p**2.\nAnswer: -2486*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -336 - -358. Let b(h) = -5*h + 110. Let w be b(y). Factor -1\/3*l + w - 5\/3*l**2 - 4\/3*l**3.\nAnswer: -l*(l + 1)*(4*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13327565 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 6 = -5*p, -5*c - 6 - 4 = 5*p. Suppose 9 = 3*b - 3*s, 3*b - s = -b + 3. Let f = 27 - 24. Sort c, b, f.\nAnswer: c, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3550930 is divided by 887711?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11324 - 11324 - 16*l**3.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.63 and -6.96.\nAnswer: 4.3848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.774 - -5.056. Let p = 0.69 - s. Round p to 1 decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f. Let s(a) = 4*a**2 - 588*a - 1. Calculate s(v(g)).\nAnswer: 16*g**2 - 1176*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**2 + 12*s + 8. Calculate the smallest common multiple of 4 and b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -27, -35 in decreasing order.\nAnswer: 2, -27, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 207, -27, -69.\nAnswer: -69, -27, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -31\/38?  (a) 0.91  (b) -5  (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-14)\/3)\/((-3)\/9). Let y be 2\/((-3)\/(27\/2)). Let f = p + y. What is the second smallest value in f, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 187431 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-10) - (-744)\/60. What is the greatest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 4*k**2 + k + 4. Let j = 71 - 68. Determine m(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, y: 1, v: 2, z: 4}. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -0.012768396?\nAnswer: -0.0012768396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -f**4\/2 - 3*f**3\/2 + 3*f**2\/2 + 11*f\/2 + 3 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 41 + -43. Let d(g) = -684*g**2 - 6*g - 3. Let w be d(b). Let p = -1750 - w. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1711*v - 968*v - 8173 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of -g**5\/30 + 2*g**2. Let u(s) = -8*s**2. Give a(u(h)).\nAnswer: -128*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.4 - -1. Let w = -19 + 19.1. Suppose -3*z - 15 = -0*z. What is the closest to w in u, -3, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*m = 823 + 962. What is the highest common factor of 69 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 2, 1.07, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5484, 11822, 18160, 24498, 30836?\nAnswer: 37174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 + 11*d - 26 + 11.\nAnswer: 11*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -160, -221, -318, -457, -644, -885, -1186?\n\"Answer: -l**3 - 12*l**2 - 18*l - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.106 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.67330152 times -0.5\nAnswer: 0.33665076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1844.6 - -1845. Which is the nearest to 0.8?  (a) -1  (b) r  (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 4*t + 14 = 0, -22 = 8*i - 3*i - 3*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g = 41*g - 160. Let d = -4 - -13. Is d not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/36 and 95\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1615092 is divided by 100?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g - 4*g + 4*g - 5*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 86083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 187834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 36.43 + -37. Let q = b - -0.5. Let g = q + -0.03. Is 2\/3 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 404812142*c + 288887820.\nAnswer: 404812142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 + 18. Solve -z*y + 6 = -117 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2864 + 2922 - 2*l - 5796.\nAnswer: -2*l - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-25)\/(-3 + (-2 - -4)). Suppose y = -0*f + 5*f. Suppose -6 = -2*o - 2*z, o - 2*z = f*o - 8. Which is the nearest to 0.1?  (a) -5  (b) 0.5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -419819, -419818, -419817, -419816, -419815, -419814?\nAnswer: -419813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8213 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r - 8 - 12 = 0. Let a(w) = 3*w**3 - 2*w**2 - 2*w. Suppose y + 6 = 3*y. Let o(q) = 2*q - 4*q**3 + q + q**2 + 2*q**2. Determine r*o(t) + y*a(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of -1249*j**3\/6 - 2263*j. Let k(v) = v. Calculate k(y(f)).\nAnswer: -1249*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 5*z**2 - 2*z - 6. Let w(q) = -6*q**2 - 53*q + 5. Let j be w(-9). What is the remainder when 107 is divided by x(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*h**2 - 2*h**6 - 3*h**2 + 9*h**6 + 5*h**2 wrt h.\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6\/13 - 68\/91. Let q = -283 + 580. Calculate the common denominator of q\/6*1\/5 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -627912.\nAnswer: -1255824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*u + 128 - 456 = 74*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.15 in 0.1, 1\/5, -2, 0.42?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100111000000111 - 110110011010?\nAnswer: -101101110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73647517.\nAnswer: 59, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {d: 2, m: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 10*f**5 - 255*f**4 - 2640*f**3 - 8215*f**2 - 9600*f - 3060 = 0.\nAnswer: -3, -2, -1\/2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*l - 30*l - 46*l - 34*l + 19*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 188 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 e, and 1 w when three letters picked without replacement from {e: 3, m: 1, f: 3, w: 7}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (42\/(-12))\/7*4\/(-82). Let b = m - -75\/287. Solve 4\/7*r**3 - 2\/7*r**5 + 4\/7*r**2 - 2\/7*r**4 - b*r - 2\/7 = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of h**4\/6 + h**2 + 9*h. Let t(m) be the first derivative of b(m). Let j(y) = -2*y**2 + 2*y**2 + y**2. Determine j(t(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 75342 take away -2?\nAnswer: 75344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -3*m - t + 177, -83 = -m - 5*t. Calculate the highest common factor of 84 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*y**4 - 24*y**3 - 218*y**2 - 60*y = 0. What is y?\nAnswer: -3, -2\/7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 31 - 22*y**2 - 3*y + 24 + 26 + 2*y**3 - y**2 - 77 as m*y**2 + n*y**3 + i + f*y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*j**3 + j**3 + j**3 + (-j**2 + j**3 + j**2)*(3 + 2 + 1).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (11 - 1) + -41 + 42 - -5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21728794 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.894445 to two dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115 = 2*k - 275. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36 - 33. Let v be 30\/2 + (-2 - -4). Let d = v - k. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 180, 2, -2, 68 in ascending order.\nAnswer: -2, 0, 2, 68, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 733*t**3 - 49*t**2 + 40*t - 148. Let b be r(22). Round b to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 103 + -105.02. Let n = t - -0.02. Which is the biggest value?  (a) 4\/7  (b) 3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8039109mm to nanometers.\nAnswer: 803910.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 + (-2)\/(-1) - -6. Let m be (84 - x)*2\/4. What is the greatest common factor of 16 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 431508 is divided by 60.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = j - 1. Let o = 20 - 20. Solve 0 = 3*y - j*h + 5, o*y + 5*y + 2*h + 19 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.369 - -0.031. Let o = -37.7 + 36. Let q = o + t. What is the smallest value in 0.18, 2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 544 + (4 + -3)*-3. Is (n\/(-2))\/(9\/(-18)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -104839 or -105346?\nAnswer: -104839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 35. Suppose -n*p - 3395 = -28*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -117 (base 9) to base 14\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k**2 - 53486*k - 13*k**2 + 53508*k)*(3*k - 4*k + 2*k) - 2*k + 2*k + 3*k**3 + (-3 + 0 + 5)*(6*k**3 - 5*k**3 + k**3).\nAnswer: -10*k**3 + 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1311 = 1545*h - 1614*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 482805*h**5*k**2 + 2*h**5 + 18*h*k**2 + 22*h*k - 1463*h wrt h?\nAnswer: 9656100*h**3*k**2 + 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/3*o + 4\/3*o**2 + 0 + 2\/3*o**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -s + 2132*s**2 + 21*s**4 - 2132*s**2 wrt s.\nAnswer: 252*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 - -18. Let c(u) = u**3 - u - 1. Let i(h) = 3*h**3 - 4*h - 4. What is s*i(t) - 4*c(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 less than 112656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 113053320 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 188043 = -l + 20*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-162)\/(-45) - -7 - 11. Is z bigger than -1\/264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6383\/44 - -1587\/11. What is the common denominator of -61\/8 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of -s**6\/150 - s**5\/15 - 7*s**4\/30 - 2*s**3\/5 - 17*s**2. Factor m(y).\nAnswer: -4*(y + 1)**2*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 - 7*d - 4. Let n be i(-7). Put n, -5, -3 in descending order.\nAnswer: -3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-118 + 35 - 52) + 90.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 603875 and 5560481.\nAnswer: 4831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/(5551\/(-2440)))\/(36\/(-14))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10 and -5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -5  (c) -3\/7  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 3038 divide 214323837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79472*p**2 + 3*p**3 - 79477*p**2 - 79482*p**2 + 238431*p**2 - 11*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 705\/(-7*(-5)\/70). Calculate the greatest common divisor of 30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 25*g*z + 4373*g + 38*z with respect to z.\nAnswer: 25*g + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 + -12. Let i be (-12)\/(-54) - (-160)\/9. Let n = i - s. Solve n*k + 6 = -14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14046?\nAnswer: 2, 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -457 + 676. Let b = p - 195. Calculate the greatest common divisor of 96 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 342 a factor of 210672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -5*q - 30. Do q and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20671, -41380, -62089?\nAnswer: -82798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.679636 - 0.68. Round d to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92 = 6*y - 122 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2201 + -2221211010221?\nAnswer: -2221211020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x**2. Let y(v) = 5*v**2 - 4*v. Suppose -10 = 17*s - 27*s. Let h(u) = u**2 - u. Let l(q) = s*y(q) - 4*h(q). Give i(l(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4*f = -8. Let m be 6\/2 + f\/4. Let a be 3\/(-12)*-10*2. Solve 0 = a*c - 2*v - 23, -2*c = -5*c + m*v + 29 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 400 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*h**2 - 39*h + 6.\nAnswer: -3*(h + 2)*(7*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 21, -877, -2373, -4467, -7159, -10449, -14337?\n\"Answer: -299*u**2 - u + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3352\/48 - (32 - (-1870)\/(-60))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11241584, -22482988, -33724394, -44965802, -56207212?\nAnswer: -67448624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 8477 divided by -7\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -9*n - 4. Let g(v) = v + 1. Let z(d) = -3*g(d) - u(d). Let a be z(2). Solve -3*h - 1 = -3*m - a, 0 = m - 5*h + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.939 + -0.061. What is the fourth biggest value in u, 1\/2, -2, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 7*d. Suppose -5*c + 115 = -150. What is the remainder when c is divided by y(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of -g**4\/14 + 8*g**3\/7 - 3*g**2 - 28*g - 125. Let p(m) = 0. Calculate m.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 5, d: 10, v: 3, e: 2}. Give prob of picking 1 e and 2 d.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (322\/(-7))\/(((-2)\/(-8))\/((-230)\/(-920))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, w: 3}. What is prob of picking 3 o?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(0 - -3)*3. Suppose -w - 5*g - 18 = 8, -q*g - 12 = 0. Let u(c) = -c**2 - 6*c - 8. Calculate u(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 267 = -0*v - 3*v, v - 4*o - 89 = 0. List the prime factors of v.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 3:53 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-6)*1*(1 + 2). Suppose m*h - 7 - 5 = 0. Let a be (2\/(-20))\/(1\/(-2)). What is the nearest to a in 2, h, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -34\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 287, 4, -5, 0, -27, 3 in descending order.\nAnswer: 287, 4, 3, 0, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -106, -237, -470, -811, -1266, -1841?\n\"Answer: -f**3 - 45*f**2 + 11*f - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 7*y - 75. Let w be b(19). Let k = 148 + w. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 183849000 to the nearest one million.\nAnswer: 184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = 6*d + 5*l + 68, 4*l + 74 = 58 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18539 - 18538. Solve 21*t = 26*t - 4*c - 14, 2*t + 5*c = -m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 10) in base 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-112)\/24 - (-1 - -2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2012*7.\nAnswer: 14084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8256 is divided by 8256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + 19*t**2 - 32*t - 22. Is 17 a factor of m(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b (base 13) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-168))\/(11\/(1694\/528)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -97023 divided by -3\nAnswer: 32341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -947*o - 5*b = -943*o - 11461, 0 = -4*o - 2*b + 11446. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zkkxzfxxxzakxxtk. What is prob of picking 2 x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6653 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20545020 - 3?\nAnswer: -20545023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 2*j**2 + 4*j**3 - 3 - 9*j + 7 as z + d*j**2 + c*j**3 + g*j and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34)\/(sqrt(54)\/sqrt(3))*1)**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.07, 3, -148\/35?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.19266 rounded to 1 decimal place?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 - -35 - (7 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 320141570 divided by -45734510?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -3298 smaller than -3298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 2, 3, 30, 162 in increasing order.\nAnswer: -1\/4, 2, 3, 30, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y. Let u be (-6)\/33 - 2943\/(-33). Let z(h) = -16*h + 94 + u - 178. Determine z(l(a)).\nAnswer: 32*a + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 at least 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 24614159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -j**4\/24 - 10*j**2 + j. Let s(g) = -26*g**2. What is s(k(m))?\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3313 - 11?\nAnswer: -3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -967 times 4\nAnswer: -3868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89193?\nAnswer: 3, 13, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - 7. List the prime factors of (15\/(-9))\/(1\/a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 13*c = -56, z - 5 - 48 = -z + 5*c for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 + 38. Let g(c) = 2*c**2 - 45*c - 34. What are the prime factors of g(o)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 2*k - 432. Suppose -k*w + 107*w = -2. Differentiate -50*p**w + 102*p**2 - 71*p**2 + 20 wrt p.\nAnswer: -38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 30*s - 30*s + 23*s**2 + (3*s + 0*s - s)*(-2*s + s + 3*s).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 3*n - 5*f, f + 9 = 120*n - 121*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4\/11 + 46\/11*d**2 - 50\/11*d = 0 for d.\nAnswer: 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-1*24))\/(24\/(-144))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -103017 (base 10) in base 13?\nAnswer: -37b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) + sqrt(432) + 1)**2 - sqrt(432)) + (sqrt(21)*3)\/sqrt(7) + 5.\nAnswer: 39*sqrt(3) + 1734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2 - 252*y + 249.\nAnswer: 3*(y - 83)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102984351?\nAnswer: 3, 17, 19, 106279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-5 + sqrt(468)*-6)*-2)**2.\nAnswer: 864*sqrt(13) + 67428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2155252 and 13651?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 9, u: 3, e: 1, o: 6}. Give prob of picking 1 o and 2 c.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6 and -790620.\nAnswer: -4743720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 5*j - 55 = 0, 0*f + j = 4*f - 29. Let h(b) be the first derivative of b**4\/4 - 7*b**3\/3 + 7*b**2\/2 + 5*b + 4. Calculate h(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 29 = a - 46, -2*k + 13 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2304344023 (base 5) to base 11.\nAnswer: 29aa598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in 1, 0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -63*i + 6693. What is the lowest common multiple of v(106) and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((0 + sqrt(720)*-4)**2 - ((sqrt(720) - (sqrt(720) + -2))*-2)**2) + -1.\nAnswer: 11504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36*i**5 + 23*i**5 - 39*i**5 + 756*i**2 - 1027*i**2 wrt i?\nAnswer: -3120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**2 + 11*j + 14. Let t be l(-10). Suppose q = -t*q - 10. Let y(w) = -14*w + 2. Let n be y(q). Solve 10 = -4*x + n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 161080*f + 269598*f + 220639*f.\nAnswer: 651317*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-4)\/((-64)\/(-20)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/2)\/((-152)\/304) - 25?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-1 + 1*sqrt(720) + sqrt(720))**2 + ((sqrt(720) - -1*sqrt(720))*-3 + -4)**2)*2.\nAnswer: 1056*sqrt(5) + 57640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.013  (b) -132  (c) -1\/6  (d) -0.5  (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Factor -140*v**2\/19 + 554*v\/19 + 24\/19.\nAnswer: -2*(v - 4)*(70*v + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46133\/2052 - -861\/38. What is the common denominator of s and (440\/(-45))\/(-4) - -2?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 - 2390*i - 7160. Determine p(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3101.97058 + -3102. Let s = 14 - 13.971. Let w = b + s. What is w rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - -4. Let t = -3 + c. Suppose 0*i - 3*p - 8 = i, -4*p - t = 3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2be + 5?\nAnswer: 2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 + 3*f**2 + f - 4. Suppose 4*l + 20 = -4*c, -l - 2*l + 4*c = 8. What is d(l)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2314 + 2313.78436. What is i rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -17837 - -15?\nAnswer: -17822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-8) + (-2168)\/(-32). What is the greatest common factor of m and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 577041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 676690?\nAnswer: 2, 5, 7, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -20 + 23 + (-2 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -57840\/13 equal to -4450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of -25*h**3\/12 - 5*h**2\/2 - h + 12. Factor v(r).\nAnswer: -(5*r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 11:34 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 145.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**6 + 9*c**5 + 254*c**3 - c**2 - 2*c + 7681 wrt c?\nAnswer: 240*c**3 + 540*c**2 + 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 + 7*m + 4. Let g = 3 + 5. Let o be f(g). Let x(d) = -2*d - 3. Let z be x(o). Which is the closest to -1?  (a) z  (b) 2\/3  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 - -20. Let o = m - -5.1. Let x = 0.11 + -5.11. Put 0.02, o, x in ascending order.\nAnswer: x, 0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 12 = -18*k + 17*k, 0 = -4*l + 5*k + 24. Solve l = a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 484 + 7818 = 0. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*t - 3*t**3 + 15*t + 10*t + t**3 to the form p*t**3 + u*t**2 + q*t + s and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -358 + 2*z**3 - 334 - z - 15 to the form b*z**2 + f*z + d + p*z**3 and give d.\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 7 = -8. Let p(v) = -6*v + v - 1 + 8*v - 1. Suppose -3*t - 3 = -0*t. Let r(k) = k. Determine t*p(y) + w*r(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -z - 2*b, -2486*b + 7 = -4*z - 2481*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/((-16)\/4) + 2. Let q(m) = -5*m + 1. Calculate q(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = 2*g - 124. Let s = g - 66. What is the remainder when s is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -53.1 - -51.1. Which is the closest to -1?  (a) -11  (b) -5\/2  (c) -6  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.051 - 5.051. Let p = 0.1 - 1.1. Which is the closest to -0.09?  (a) n  (b) p  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 970*p**3 + 13*p**2 + 5?\nAnswer: 5820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-13)\/(-78)*-3)\/((-1)\/(-10)*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -569*q**2 + 159*q + 2. Determine i(2).\nAnswer: -1956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -253*l + 5 + 0 - 54. Let w be -6*1 + 65\/(-325) + (-1)\/(-5). Is m(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 1708 = -28*t. Calculate the remainder when t is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 29\/3, -2\/7, -6.522, 3 in increasing order.\nAnswer: -6.522, -2\/7, 3, 29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 483 a factor of 19693132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y + 25. Let s be n(0). Suppose s = 4*h - 3*h - 2*b, -b = 5. What is the greatest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -32 - -4?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3580462\/(-14604)*54\/(-12). Let x = -18\/1217 + b. Let y = 1120 - x. What is the common denominator of -52\/5 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + 2*i - 1. Suppose -4*n = -m - 10 - 4, -3*m - 2*n + 14 = 0. Let b(f) = -f + 1. Give m*p(j) + 4*b(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/(-20)*30*5\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75 - 61*i + 34 + 42.\nAnswer: -61*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47, -93, -141, -191, -243?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 75147\/7 - 10735. Suppose -2\/7*v**5 + 4\/7*v**4 + 4\/7*v**3 - 8\/7*v**2 - g*v + 4\/7 = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -44894 at most as big as -2461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 3)*(-b - b + 3*b)*(4 + 0 + 0 + (-2 + 4 - 3)*(7 - 3 - 2)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114873?\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -8*l**7\/21 + 9*l**5\/20 - 223*l**4\/12 + l - 1195. What is the third derivative of g(h) wrt h?\nAnswer: -960*h**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -742 and 1366.\nAnswer: -1013572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 752 = -5*w + 747 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + l + 0*l)*(-12 + 1 + 4)*(-1 - 2 + 1).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 1)*(23*q + 0*q + 87*q)*(0 + 0 + 4).\nAnswer: -440*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h. Let d(k) be the second derivative of k**7\/840 - k**4\/3 + 5*k. Let s(v) be the third derivative of d(v). Calculate w(s(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19764 and 581940.\nAnswer: 5237460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -2\/13, 0.048 in decreasing order.\nAnswer: 6, 0.048, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(28))\/sqrt(4) - (sqrt(14)\/sqrt(2) + 3))**2 + -4 + 3.\nAnswer: -6*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 107874 equal to 107224?\nAnswer: False","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 {t: 10, k: 3, a: 1, u: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m - 15. Let g be k(-6). Let y(h) = h + h - 4 + 0*h. Determine y(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, -4, -29, -76, -151?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 16 + (-21 - -45 - 46).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2755 = 4*j + 442, -4*j = -5*b + 11685. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 3. Calculate the lowest common multiple of (-190)\/(-25) + (-6)\/(-15) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**5 + 196*k**4 + 6182*k**3 + 59644*k**2 - 79192*k - 132848 = 0. What is k?\nAnswer: -38, -23, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 374 divide 863212785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-168)\/(-66) - (100\/22 + -4). What is the smallest value in -1\/17, 1, 0, h?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7\/(-2) + (-3)\/(-6). Let f = 7.2 - 7. Which is smaller: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*v = 622 - 2435 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4280777 divided by 29?\nAnswer: 147613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, w: 1, p: 5, i: 3, r: 2}. What is prob of picking 1 w and 1 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.7 and -93357.\nAnswer: -65349.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 833503 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.8937 rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 + 30 + (1 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 + (-3)\/(6\/4). Let f(l) = l**i + l + 5 - 2 + 0*l**2. Is 2 a factor of f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1, -2.1, 20, 2, 3 in ascending order.\nAnswer: -2.1, -1, -0.4, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 17991*w**2. Let u(a) = 8*a**2. Give u(j(y)).\nAnswer: 2589408648*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 15817492.661 less than 0.1?\nAnswer: -15817492.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 7:07 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of -l**4\/6 + 2*l. Let v(z) = 3*z**2 + 2*z - 2*z. What is v(i(y))?\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 PM and 4:41 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -25906, -25908, -25918, -25942, -25986?\n\"Answer: -i**3 + 2*i**2 - i - 25906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16462 - -16461.06618. Let a = g - -0.922. Let d = a - -0.011. Round d to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104 = -19*v + 56*v - 29*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 6 + 2. Let h be (-7 + 4 + -6)*w. Find the common denominator of (h - -9) + (-73)\/16 and -23\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 4 + -4*(6*((sqrt(1152) + sqrt(1152)*1)\/sqrt(4) + 0))**2.\nAnswer: -165880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - (-2 + 24 + -33) - 58?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1179966 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2666720.\nAnswer: 2, 5, 7, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 0 - 4) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -523, -520, -517, -514?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 84270 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 9. Suppose -14 = -3*m + r + 9, -4*r = s*m + 2. Let f be 38\/6 - (-4)\/m. Calculate the greatest common divisor of 63 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v - 4. Determine r(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxzxxxrzpzzr. Give prob of sequence rzx.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -t - 24. Let z = t + 50. Let p = 232 + -96. Calculate the greatest common factor of p and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9940 and 16?\nAnswer: 39760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*z + 13*z - 28*z to d*z + h and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -921587, -922319, -923051, -923783, -924515, -925247?\n\"Answer: -732*l - 920855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/36*((-462)\/(-28))\/(-11)*-3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4127 - -152711\/37. Let b = -586\/2035 + q. Let j = b - -1041\/110. What is the common denominator of 1\/8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-2)*10 - 37\/((-1554)\/216).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -3. Suppose z = -s*z + 12. Let l(o) = o**2 + 2*o + 4. Is 6 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*d - 4*b - b, -4*b - 28 = -4*d. What is the units digit of (-23)\/(-7) + (-2)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d*d\/d**(-1\/3))**(3\/38)*(d**(-7)*d)\/d**2 assuming d is positive.\nAnswer: d**(-291\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m + 4. Let t be f(1). Let v(x) = -76*x**t - 2*x - x**3 + 74*x**2 - x. Give v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.5427  (b) 12  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11000010000111 (base 2) to base 3.\nAnswer: 122001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - -444?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -66*w**3 + w + 2. Give c(-1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -58, -8\/9, 1\/7?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 16*n**2 + 3538*n + 358. Calculate h(52).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - -222001000?\nAnswer: 222001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 557 = -395. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3782*x - 1. Let d(o) = -o. Determine i(d(u)).\nAnswer: -3782*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -203 + 202.87. Let x = s - -0.012. What is x rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - s. Let g be n(0). Suppose g + 72 = 12*x. Calculate the least common multiple of x and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56)\/(-16) + 93\/(-30).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 379483316?\nAnswer: 2, 17, 5580637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (52\/2)\/((-5)\/(-205)). Let c = g + -118328\/111. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 235 = -4*w + 5*w, -3*w = -x - 785. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the first derivative of 3*t**4\/4 - 11*t**3 + 105*t**2\/2 - 75*t - 62. Factor h(c).\nAnswer: 3*(c - 5)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 876.6546 years?\nAnswer: 87.66546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 58.018 - 58. Let w = 1.018 - r. Which is the smallest value?  (a) -5\/4  (b) w  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(41\/3)\/f)\/(f\/(f\/((f**(1\/18)\/f)\/f))))\/(((f*f\/((f\/(f*f*(f\/((f*f*f\/(f\/(f*f**28*f*f))*f*f)\/f))\/f))\/f))\/f)\/f**(3\/16)) assuming f is positive.\nAnswer: f**(6595\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13)\/416*24*16\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 164829756 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 238.57 plus 2.061?\nAnswer: 240.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/3 - (-20)\/30. What is the third derivative of 7*x**6 + t*x**2 + 5*x**2 - 6*x**6 wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {j: 3, u: 3, o: 3, v: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, g: 3, a: 1, b: 4, l: 2}. What is prob of picking 1 l and 2 c?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.5 + 0.3. Suppose -10 - 2 = 4*o. Which is the nearest to k?  (a) 3  (b) o  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from xjvxjjhxvjhjvxhxxj?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11546 by 281.\nAnswer: 11546\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 10945 (base 15) to base 11\nAnswer: 36673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 = -9*s - 913*h + 912*h, 4 = -s + 3*h for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 364 in 36\/11, -6\/5, -3?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00063616175 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -4*m**2 - 3*m**2 + 8*m + 9*m**2 + 7. What is the tens digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 21, -3*o - 144 = 4*h + 43. Is h at most -898\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + 3 + 3)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24.1 + -29.1. Let f be (-41)\/8 - (-4 - (-5)\/(-5)). Put -1\/4, x, f in increasing order.\nAnswer: x, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5350225 and 0.1.\nAnswer: -5350224.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 178*b**2 - 117*b**2 - 137*b**2. Let u(v) = -3*v. Give u(n(m)).\nAnswer: 228*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -498, -180, 1068, 3708, 8202?\n\"Answer: 77*h**3 + 3*h**2 - 230*h - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4642 + 4660 = n + 4*j, -7 = n - j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.1 + -0.6. Let o = 8 - 25\/3. What is the nearest to 2\/5 in c, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/67 and 121\/2010?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, t: 4, o: 4, j: 1, c: 1, q: 1}. What is prob of picking 1 t, 1 j, and 1 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 489*k**3 - 49*k**2 + 19. Let a(x) = -244*x**3 + 28*x**2 - 10. Give 7*a(q) + 4*n(q).\nAnswer: 248*q**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 - m**2 - 2*m - 2. Let k = -475111 + 475255. Calculate the remainder when k is divided by u(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/(-3) + 2 + -2. Let c = -6 + r. Let z be 6*(c\/(-3))\/2. Solve i - 1 = z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -47.7 and -23.014?\nAnswer: 24.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d. Let m(g) = 360*g**2 - 495*g - 30195. Let h(t) = -t - 61. Let j(l) = 990*h(l) - 2*m(l). What is c(j(b))?\nAnswer: -720*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.12 - 4.12. Let r = 2 - 1.5. Which is the nearest to -1?  (a) n  (b) r  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - 2 + 2)*(2*n**2 - 3*n**2 - 3*n**2) + 3*n**3 - 2*n**3 - 2*n**3 + (0*n + 2*n**2 + 0*n)*(0*n + 7*n - 2*n) + (-n - n + n)*(n**2 - 1 + 1).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -97171 or -2\/7?\nAnswer: -97171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5210 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 + -35.04. Let k = r + 6.04. Which is the second smallest value?  (a) -2\/9  (b) k  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 638\/(-1320) + (-15)\/(-100).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 6*o = 5, -5*a - 77399975 = 5*o. Round a to the nearest one hundred thousand.\nAnswer: -15500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2813 + 2?\nAnswer: -2811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from jmrjjffajjf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**5 + 2*i**2 - 2*i**2 + (7*i**2 - 2*i**2 - 2*i**2)*(0*i**3 - 2*i**3 + i**3) + (-i**3 + 2*i**3 - 2*i**3)*(0*i**2 + 2*i**2 + 2*i**2).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - ((1 - -2) + -5). Suppose -h*t + 6 + 6 = 0. Find the common denominator of 1*(-3 + 79\/t) and -113\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**2. Let m(t) = -2484*t + 2. Calculate r(m(p)).\nAnswer: -12340512*p**2 + 19872*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23*j*p**2*q + 110*j*p**2 - 2*j*p*q*r**3 - 15*j*p*q + 2*p**2*q*r**3 + 5*q*r**3 - 902*q*r wrt p?\nAnswer: -46*j*q + 220*j + 4*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1753*d + 26 = 3*z - 1755*d, -5*z = -4*d - 42 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3322, -11216, -24380, -42820, -66542, -95552, -129856?\n\"Answer: -o**3 - 2629*o**2 - 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.155 + 0.167. What is r rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + w - 30461 = 8482, -2*a = -3*w - 19461. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 8 = 0, -l + 0*l = -2*j - 13. Suppose -60 = 4*f + f. Let z = f + 12. Solve z*g + 3*g = 3*u - 3, 0 = g + 2*u - l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 + -4. Suppose 4 = 3*z - z - 3*d, -5*d = 2*z + g. Which is the biggest value?  (a) z  (b) 1\/4  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2. Let i(b) = 25904792*b - 1. Calculate i(p(f)).\nAnswer: 25904792*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 AM and 8:14 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 652 is divided by 212?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.54*-2.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 8 = 17. Let z = 5 - 4. Suppose -2*m + z = -m. Calculate the smallest common multiple of m and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32.0045 - 32. Round q to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 3424 = -5*w, 4*p - 4485 + 1717 = -4*w. Suppose -4536 = 682*a - w*a. Is 36 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**(1\/18)*f**(-1\/4)\/f assuming f is positive.\nAnswer: f**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*x**2 + 5*x**2 - 4*x + 12*x**2 + 18*x**2 - 8 + 19*x**2 + 21*x**2.\nAnswer: 24*x**2 - 4*x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*q + 18 = -32*q. Suppose q = -19*c + 16*c. What is the closest to -2\/7 in 0.4, c, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1412241650 to the nearest one million.\nAnswer: -1412000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -9*l**3 - 5*l**2 + 5*l - 6. Let u(c) = 8*c**3 + 6*c**2 - 6*c + 7. Let p(q) = -5*u(q) - 6*v(q). Let f(w) = 2*w + 1. Let d be f(-1). What is p(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 354911486 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3671 * 25343\nAnswer: -93034153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*n + 22 + 18. Suppose -n*k - 6*k + 1020 = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/(-10)*-869*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 180*k**2 + 669*k + 1083. Let a(l) = 222*l**2 + 836*l + 1354. Let i(c) = -9*a(c) + 11*q(c). Find g such that i(g) = 0.\nAnswer: -7, -13\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10111 (base 2) in base 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/12  (b) -0.13  (c) -0.0451  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + i - 3*a + 3, a + 4 = 4*i. Let r = i + -1. Let t be (3\/1)\/1 + -1. Solve r = 2*v + b + 6 - t, -3*v = -b - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.46 + -0.54. Let p = 73.8 + -75.8. What is the second biggest value in 19, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 29*w**2 + 4. Let u be x(-2). Suppose -12*v - u = -13*v. What is the greatest common divisor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*w + 7046 + 8956 = 0. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**2 - 3*r**2 - 2*r**2 + 5*r**2 + 0*r**2 - 4*r**2 + (1 - 1 - 2*r)*(-r - r + 4*r) + (-27 + 16*r + 27)*(-2 + 2*r + 2).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + i - 2*i**2)*(-5 - 2 + 5) + i**2 + 3*i**2 + 0*i**2 + (2 + i - 2)*(-46*i - 25*i + 95*i).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-6)*(-6)\/1. Find the second derivative of 5*l**c - 5*l**3 - l - l**4 wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25.8 times -2?\nAnswer: 51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(2448) + -2 + ((sqrt(2448) + -1)*3)**2 + (sqrt(1088) - (-1 + 1*sqrt(1088)) - sqrt(1088))**2*3.\nAnswer: -252*sqrt(17) + 25306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1823147 * 0.054\nAnswer: -98449.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.12 in 0.8, -4, 1982?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 2:20 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -4*x**3 + 3. Let l(n) = -9*n**3 + 7. Suppose 189 = 6*f - 51. Let g be 10\/(f\/(-28))*1. Suppose 2*t + 1 - 7 = 0. Give g*z(j) + t*l(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -z**8\/448 + 11*z**6\/160 + 9*z**5\/40 + z**4\/4 - 11*z**2 + 2. Let r(i) = 0. What is i?\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -86, -92, -102, -116, -134, -156?\n\"Answer: -2*y**2 - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120077678 is divided by 531?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 - 7 = -5*o. Suppose -3*t - o = -q - t, -q + 4*t + 13 = 0. Let i(g) = g**2 - g - 6. Let y(x) = x**2 - x - 4. Calculate q*i(j) - 7*y(j).\nAnswer: -2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -7. Let v(y) = -y**3 + 5*y**2 - 5*y + 2. Let z be v(f). What is the third biggest value in -1\/7, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 - 50. Factor -i**5 + 0*i**5 - i**3 + i**p - i + 2*i**3.\nAnswer: -i*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**3 - 315*s**2 + 3360*s - 5500.\nAnswer: 5*(s - 50)*(s - 11)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 33 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 9740 = -4*r, 4*u = 2*r - 3*r + 2456. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + u - 35 = -3*u, 2*x + 2*u = 24. Find the third derivative of 13*i**3 + x*i**2 + 6*i**2 - 46*i**2 wrt i.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -11. Solve -t*v + 0*v = -15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t**(-5)*t*t*t**(4\/7)\/t)\/((t\/(t\/(((t\/(t\/t**(-4)))\/t)\/t))*t*t)\/t**(5\/2)))**14 assuming t is positive.\nAnswer: t**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*o + o - 9*o - o to the form m + v*o and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.081, -5, 1, 5\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -5*n**2\/2 - 55786085*n - 111572165\/2 = 0.\nAnswer: -22314433, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 1796 = 3*n, -3*n + 3*u + 2394 = n. Suppose o + w + n = 5391, -5*w = -2*o + 9575. What is o rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 23424020, 23424031, 23424054, 23424095, 23424160, 23424255?\n\"Answer: m**3 + 4*m + 23424015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (2 - (-8 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9252 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 18075*k + 4 - 13*k**3 + 18205*k.\nAnswer: -13*k**3 + 130*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3 - 42*a**2 + 540*a - 1944.\nAnswer: (a - 18)**2*(a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 PM and 4:31 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 524429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 61*s = 62*s + 8, 3*b - s - 7 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 401 a factor of 1447610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = m + 7. What are the prime factors of 45 + 2*9\/m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -3\/68  (c) -3  (d) 3  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of v**6\/120 + 2*v**5\/5 + 26*v**3\/3 + 23*v**2. List the prime factors of i(-24).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 4:31 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 76.79308 kilometers?\nAnswer: 76793.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12400 * 0.31.\nAnswer: 3844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -27?  (a) -3  (b) -1\/5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -871786*k**2 - 202*k + 871826*k**2 + 202*k.\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t**2)**(-1\/19))**(-26))**(1\/38))**(-41) assuming t is positive.\nAnswer: t**(-1066\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 6 = -10. Let x be 10\/95 + -2 + 224\/38. Suppose 3*m + 34 = -x*h, -3*m + 2*h - 28 = -0*h. Sort 4, m, j.\nAnswer: m, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-233)\/6990 - (0 - (-1)\/(-6))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 26*m - 1375. Calculate the remainder when 158 is divided by m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l\/(l**6*l)*l))\/(l\/(((l*l**(1\/7))\/l)\/l*l)*l))\/(l*l**(-2\/3))**(-2\/7) assuming l is positive.\nAnswer: l**(89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 + 20*j - 34. Let l be z(2). Suppose -4*t + l*n + 35 - 15 = 0, 0 = -5*t - 2*n + 16. Solve -12 = t*k - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 6:37 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 877932 and 18?\nAnswer: 877932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 281512922.\nAnswer: 2, 31, 4540531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 - 57*f. Give g(-57).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -22 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 365 - -4c7c6?\nAnswer: 4cb4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 23 = 2*g - 26, 5*g = 3*l + 9. Solve -k - q + 23 = 4*k, g = 3*k + 5*q - 27 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14896 by -5.\nAnswer: 14896\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142 = 4*i + f, -138 = -3*i + 2*f - 26. What is the highest common divisor of 24 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 6:51 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 - 8. Suppose -8 = -v - 2*w, -v + y*w = v - 40. Calculate the smallest common multiple of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 355*g + 8168. Let o be k(-23). Solve 0 = 5*q + 5*h - 30, -32*q + 36*q = -o*h + 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {w: 2, x: 1, c: 4, u: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 479902381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 258411107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 382038966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 279 - 239. Let j(g) = -160*g + 35*g + 41*g + 42*g + s*g. Let y(z) = -24*z. Give y(j(l)).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 10:22 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(125) + -2 + 3*(sqrt(5) + (sqrt(5) + 0 - sqrt(5))**2 + 5).\nAnswer: 8 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 520*h + h**2 + 4*h**2 + 205 - 730*h.\nAnswer: 5*(h - 41)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20521543 - 2?\nAnswer: -20521545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 37508694 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -677\/3  (b) 5  (c) -7\/3  (d) -0.3  (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 2244.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/16651839 and -111\/322.\nAnswer: 233125746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2039665+-551.1\nAnswer: 2039113.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 1:29 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -1. Let i(w) = 5*w + 5. Let u(m) = -i(m) - 2*r(m). Let z be u(-2). Suppose -3*v + 17 = -5*g, 4*v - 5*g = z + 19. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1025844 divided by -85487.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2434, -5725, -9020, -12319, -15622, -18929?\n\"Answer: -2*p**2 - 3285*p + 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -7. Let i = z - -5. Let s = i - 4. Calculate the greatest common divisor of s and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from spsssospsqosspss. Give prob of sequence pp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k**2 + 12*k - 49. Determine w(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + 5*z**2 - 3*z + 1. Let l be g(4). Let o(v) = 3*v - 5 + 0 - 2*v. Determine o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/((-9)\/(-1 + -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 32 + 40 - 147 + 38 + 38. Let p(t) = 0*t + 2*t - 1 - 4. What is -6*m(c) - p(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 95762700 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 10 - 5) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of -1\/20*s**5 - 8*s - 5\/2*s**2 - 1\/3*s**3 + 0 + 5\/12*s**4. Let i(r) = 2*r - 2. Let z be i(3). What is k(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 87.1 + -87. Which is greater: s or 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -295*d**4 + 5*d**3 - 14793*d?\nAnswer: -3540*d**2 + 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/14*(2 + 3))\/(0 - (-40)\/(-3220)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 + 3)*(-15 + 9 + 73)*(-8*z - 4*z - 3*z)*(0 - 2 + 1) as j*z + m and give j.\nAnswer: 2010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 453*n = 447*n + 9960. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48314.\nAnswer: 2, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100111011101111011 - -101?\nAnswer: -10100111011101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/461723 and 79\/39?\nAnswer: 18007197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 5  (b) -11  (c) 0.4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2966 - -2128. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*i + 3*i - 5*m - 378, 4*i = 2*m + 490. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -231*o - 180 wrt o?\nAnswer: -231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 4, 33732375.\nAnswer: -3, 0, 4, 33732375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, a: 10}. What is prob of picking 2 a and 1 e?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 0. Suppose -5*f - 23 = -48. Suppose v = -4*w - 17, -17 - 20 = f*v + 4*w. Put 4, n, v in increasing order.\nAnswer: v, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 19*j + 87. Suppose 0 = 3*a - 19*a + 96. Let s(l) = -6*l - 29. Let g(w) = a*f(w) + 17*s(w). Differentiate g(i) with respect to i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z + 6. Let t be n(-8). Calculate the greatest common divisor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2395*x**2 - 141*x - 1205*x**2 - 1185*x**2.\nAnswer: 5*x**2 - 141*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4385c5 (base 15) in base 9?\nAnswer: 6043745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*o + 4*u + 32 - 5, 5*o - 8*o - 383*u + 453 + 285 = o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9883.136mg in micrograms?\nAnswer: 9883136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -922206468 - -9.\nAnswer: -922206459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 3*f**2. Let v(s) = -5*s + 4. Let b(y) = -23*y + 17. Let p(j) = 2*b(j) - 9*v(j). Let u(o) = -20*o - 44. Let n(k) = 88*p(k) - 4*u(k). What is n(g(m))?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 50 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b - 17. Let d be j(7). Let a be (0 - (1 + -3)) + 469 + -466. Put 2, -5, a, d in descending order.\nAnswer: a, 2, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*w = f + 148*w + 40, 0 = 2*f - 2*w + 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2042*a**4 - 96*a**2 + 500371*a wrt a?\nAnswer: -24504*a**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -446.719 take away 392?\nAnswer: -838.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of -s**3\/3 + 1. Let x(m) be the second derivative of -m**3\/3 + 8*m. Give y(x(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*u - u - 2*u)*(-4 - 2 + 5)*(0*u - 3*u + 2*u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/10790 and 65\/97857?\nAnswer: 12721410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 8*u**2 - 8 + 4*u + 7*u - u**3 + 2*u. Let c be b(9). What is the greatest common factor of 56 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 656 and 320948.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002635205 to 5 dps.\nAnswer: 0.00264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 6 = 4*z - 2*z, h + 23 = -5*z. Let o be -2*13\/h*3. Let s = o + 67. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -24*z + 15. Let x(l) = -1492*l**2 + 2985*l**2 - 1490*l**2. Determine x(y(g)).\nAnswer: 1728*g**2 - 2160*g + 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t - 1. Suppose -5*z = 33 - 38. Let o be (-2*z\/(-3))\/((-6)\/(-27)). Suppose -o*p = -0*p + 2*u + 28, -5*p + u - 25 = 0. What is y(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -1426 - 72*q**2 + 343 + 114*q + 69*q**2 = 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -32*i + 19*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 17 = 3*s, -2*s + 71 - 12 = 5*q. Let x = q + -38\/3. Let m = 0 + 0.2. Which is the nearest to -1\/3?  (a) 3  (b) m  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 54773925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/5, -6, -1.1, -0.1 in ascending order.\nAnswer: -6, -1.1, -4\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 142\/72 - 2\/9. Suppose 2*o + 2*f = 2, -2*f - 6 = -0*f. Suppose 0 - 4 = -o*g. Which is bigger: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 + 50 = 5*q + 5*n, 3*q = n + 44. Suppose -5*x + x + q = 0. Solve -4*u - m = -6, u - x + 6 = -2*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48973898.\nAnswer: 2, 24486949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 164*y - 1618*y + 157*y - 1751*y - 1019*y as m + o*y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (-20)\/15)*(-3 + 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15*8\/280)\/((12\/(-4))\/((-78)\/52)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 5*i - 45 = 0, 4*d + 5*i + 14 + 18 = 0. Let m = -4 - d. Let n = m - -2. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(3 + 3 + -7). Suppose 0 = 11*v - 12*v + p. Let b(i) = -i**2 - i + 1. Let h(f) = -2*f**2 - 2*f + 16. Let d(n) = v*b(n) - h(n). Determine d(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 10*n**2 - 12*n + 43. Is p(26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.03 * -1.115.\nAnswer: 1.14845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(76)*2 + sqrt(76))*4)\/(sqrt(16)\/sqrt(4)*-6 + sqrt(4) - sqrt(4) - ((sqrt(4) - -2*sqrt(4))*-2 + sqrt(4)))*-5 + 2.\nAnswer: 2 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112043455 (base 6) to base 8.\nAnswer: -7665173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 880796020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l**2. Let p(d) = -2*d + 1. Let s be p(-7). Let g(v) = -22 + 7 + v + s. Give g(m(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*t**2 - 6*t**2 - 4*t**5 + 0*t**4 - 2*t**5 + 0*t**4 + (-t**4 + 6*t**4 - 3*t**4)*(7*t + 0*t - t) - 2*t**5 + 4*t**5 - 4*t**5.\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -9.408*-1.2\nAnswer: 11.2896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*y = -10*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*u + 47 + 126 + 57 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 + -2529045212\nAnswer: -2529045211.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/30 - 43\/(-15). Suppose -5*j = -0*z + q*z - 3, j = 3*z - 3. Suppose 0*o = -4*t + 4*o + 44, -4*t + 2*o + 46 = j. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-54)*3*(-54320)\/2716?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + 516?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f**2 - 4 + 6533*f - 2 - 6348*f.\nAnswer: 2*f**2 + 185*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -129 and 11.\nAnswer: -1419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 4*j - 4 = 0, -71 = -4*w - 5*j - 31. What is the remainder when 132 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 - 6)\/(1*132\/120)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00079115962 rounded to 6 dps?\nAnswer: 0.000791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 150 and 1725?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 + 12*m**2 + 10*m + 15. Let g = -7362 - -7350. Calculate k(g).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 991312045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7)\/(-3) + (2\/3 - 1). What are the prime factors of (-3 + c - -142) + -4 + 7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4017832 is divided by 19695.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p + 8 - 12 + 3)*(-10 - p**2 - 1681*p + 1 + 1685*p).\nAnswer: 6*p**3 - 23*p**2 + 50*p + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/32)\/((-69795)\/(-620400))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1475374034.\nAnswer: 2, 211, 3496147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1*k\/k**(-4\/5)*k**(1\/2)*k*k**6)\/(k\/k**(1\/5)*k*(k\/(k*k*k**(-5)))\/k*(k\/(k\/(k**(-2\/3)*k)*k))\/k**1) assuming k is positive.\nAnswer: k**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -38*v - 3. Let w be j(4). Let i = w - -35. Let s be (i\/14)\/((-6)\/84). Calculate the highest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11.9 + 15.9. Which is the third smallest value?  (a) g  (b) -5  (c) -32  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102485869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**5 - 11*l**4 + 11*l**4 + (l**3 - 2*l**3 + 2*l**3)*(1 - 8*l**2 - 1) - 63*l**5 + 25*l**5 + 104*l**5.\nAnswer: 61*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1160 + -741. Let s = j - 414. Put -1\/6, s, -0.03 in descending order.\nAnswer: s, -0.03, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 10:06 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 4*(sqrt(147) - (1 + sqrt(147))*3) + -4)**2.\nAnswer: 2240*sqrt(3) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -13*f**3 + 3*f**2 - 3. Let k(a) = 12*a**3 - 4*a**2 - a + 4. Calculate 3*k(o) + 4*w(o).\nAnswer: -16*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 12 - 4 - 4*u**2 + 12 + 9*u + 59*u + 5.\nAnswer: -4*u**2 + 68*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.5  (b) -3\/2  (c) 2\/231  (d) -5183  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {m: 1, a: 6, z: 2, b: 3, j: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.15 and -21438576.\nAnswer: -3215786.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43659144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*u + 27 - 342. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*p + 5*p + 1224 = 0. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 228361789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = -11*w - 78. Let g = 14 + w. Suppose 7*k - g*k - 1268 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 15) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c**2 - c - 4. What is n(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7882.\nAnswer: 2, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-24)\/(-2 - 1) + 0 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -24, 8, -5, -9, 2 in descending order.\nAnswer: 8, 2, -2, -5, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 3*o = -24 - 13, 4*o = -2*c + 20. Find the common denominator of 103\/14 and (33\/c)\/(13\/(-4)).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 3*d + 839 = 899, -3*u = -4*d - 7 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 + 2*h**2 + 4*h + 8. Let b be k(3). Solve 9*z = b*z + j + 1, j = 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 10885931?\nAnswer: -1\/10885931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4090)\/13088 + (-595)\/400.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, -3, -33?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 267055721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -64858 times -3?\nAnswer: 194574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -153703, -1229620, -4149991, -9837052, -19213039?\nAnswer: -33200188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-12)*m*m**(-2\/17))**(-44\/3) assuming m is positive.\nAnswer: m**(7568\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 4*r + 12, 4*y - 6*y = 2*r - 8. Suppose 30*a - 27*a = r. Solve -4*l = 2*u + 4, a = -2*u + 5*l + 1 + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/2 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -11, -6, 2 in decreasing order.\nAnswer: 4, 2, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 139*f + 31*f + 76*f in the form q*f + k and give q.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/5*3\/((-27)\/(-3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (3 - 0) - -2. Suppose -i*q + 2*q = -25. Suppose q*m = 5*z + 320, -m + 4*z - 280 = -5*m. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 897434 is divided by 103?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/17))**(28\/3)\/((i\/(i\/(i**(-5\/6)*i*i)))\/(i**(-36)\/i*i)))**(2\/143) assuming i is positive.\nAnswer: i**(-1301\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1039304 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 + 17*i**2 + 7. Let l be w(-17). Suppose l*f = 13*f - 24. Solve -2*x - 4*d + 16 = 0, -3*x - f*d + d + 12 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.04 + -4.04. Which is the second smallest value?  (a) n  (b) 0.1  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rkrrkkkrkkrrk. What is prob of picking 3 r?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -204 + 305. Let d(k) = 101 - c - 4*k. Let j(q) = -q**2. Give j(d(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/2  (b) 0.1  (c) -24  (d) -3\/38  (e) 4  (f) 233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2094400, 4188776, 6283148, 8377516, 10471880, 12566240, 14660596?\n\"Answer: -2*z**2 + 2094382*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -3*z**3 + 3*z**2 + 2*z + 1. List the prime factors of s(-2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/3 - 88\/(-12). Let n = c + -5. Solve n*d = d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2474*u - 534. Is 48 a factor of f(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13390972 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1477*f = -978537 + 919457 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 - 2*t**2 + 6*t + 2. Suppose -o + 3*o - 141 = -3*g, -2*o - 188 = -4*g. Let i = g - 68. Let y be 78\/i + 2\/(-7). Calculate z(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.5, -69, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does -4343084 = -4343098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 286958591.40379595055507 + -80.00379633055507. Let f = q + -286958516. Let k = f - -4.6. What is k rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 5*f**2 - 15*f + 14. Calculate x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.635783 + -0.135783. Let c = -2 - -2.14. Let n = 0.42 - 0.02. What is the closest to c in n, g, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 1 + 9. What is the units digit of ((-174)\/9)\/u*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11 and 138.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -493016, -493077, -493138, -493199, -493260, -493321?\n\"Answer: -61*d - 492955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8290 is divided by 1376?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2446 - 1116 + 3659 + 4853 + 1576)*(-2*b**2 - b**2 + 4*b**2).\nAnswer: 6526*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.1+4.538\nAnswer: 4.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 + 5*a - 2. Let c be f(4). Let y = -38 - -40. Suppose y*w = 3*g - 15, c*g - w = 4*w + 10. Calculate the remainder when 12 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + w - 6 = 3*z, -2*z - 4 = -w. Let h be (z\/(-1))\/(1\/2). Suppose o + o = 10, 4*o + 75980 = h*l. Round l to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + 2)*(-2*p - 4*p + 4*p) - 16*p - 178 + 178 + 4*p - 3*p + p as o + c*p and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -2455?\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -569, -1181, -1901, -2783, -3881, -5249?\nAnswer: -6941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 908595 to the power of 1\/2, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52) + 0)**2*2.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*y**2 - 2 + 2 + (0*y + 3*y - 4*y)*(y - 4*y + y) + 3*y**2 + 0*y**2 - 4*y**2 + (4*y + 6 - 6)*(3 - 5 + 0)*(51*y - 28*y + 23*y).\nAnswer: -373*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 - 3)*(-1)\/2. Let d be 1*a\/(1 + 0). Let y = d + 5. Which is smaller: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**3 - 57*j**2 + 28*j - 28. Calculate h(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 24\/(-1)*((-36)\/8 + 4). Suppose -2*d = 3*j - 43 + o, -3*d + 44 = 5*j. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -5*q + 16, 2*q - r = r + 12. Solve 8 = -3*y - 3*v + 29, -q*y - 2*v + 24 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -39 - -2. Let h = 52 + p. Solve -4*v = -v - h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1008 and 152376?\nAnswer: 914256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 5*o - 14. Calculate p(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.0109 - -0.00869. What is o rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/((n\/n**(7\/3))\/n)*n)\/(n*(n\/n**14)\/n)*n**(-2\/21)\/n*n**(3\/13)\/n assuming n is positive.\nAnswer: n**(4496\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 205519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 + 2*z**2 - 2. Let n be v(-6). Suppose -c - n = 4*r, -3*r = -7*r - 16. What is the common denominator of -109\/12 and (c\/40)\/(15\/2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 6) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/6 - 151*b**2\/3 + 4228*b - 74784.\nAnswer: (b - 164)*(b - 114)*(b - 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2868*-4593.\nAnswer: 13172724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 80*d. Let a(i) = 1. Let h(s) = -2*s - 5. Let m(k) = 5*a(k) + h(k). What is m(l(g))?\nAnswer: -160*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2725207, 2725199, 2725187, 2725171, 2725151, 2725127, 2725099?\nAnswer: 2725067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/6 and (-2)\/88*1166\/1694?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(300) + 2 + sqrt(300) + 0 + sqrt(300) + 1 + (sqrt(300) + 1 + sqrt(300))*2 + 0)*-2 + 3)**2.\nAnswer: 27720*sqrt(3) + 530289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 534418 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 351493 = 134*k - 350597 + 24854. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13777 - 13777 - 12*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -3*s + 152, -4*s - 2*w + 3*w = -214. Suppose -3*d + s = 12. Suppose -h + 4*u + d = 0, 4*h - 2*u + u = 26. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5748?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4422 - 13305 + 2*u**2 + 4454 + 4429 - 6*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 0.3  (c) 128  (d) -2  (e) -9  (f) -55  (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -0*j - 631. Suppose -4*d + j + 705 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57783, -115570, -173357, -231144, -288931, -346718?\nAnswer: -404505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 180, -11, -68, 2, -2 in descending order.\nAnswer: 180, 2, -2, -11, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(408)\/((2*sqrt(128) - sqrt(128)) + sqrt(8)))\/(sqrt(432) + sqrt(432) + sqrt(432)*-1*5).\nAnswer: -sqrt(17)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 543 + -543.1. Suppose 4*r = 34 + 190. Let y be (2\/12)\/(4\/r). Put 0.1, x, y in descending order.\nAnswer: y, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/(-7))\/((-6)\/(-42)). Let q be ((-3)\/2)\/((-6)\/g). Let x(h) = 8*h + 0*h - 3*h - 1. Determine x(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 5*i**2 + 27*i + 5. Calculate r(-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1812559 divided by 7.\nAnswer: -258937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 4400*v - 264012. Determine l(60).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003078025 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*w - 37*w = -4*k - 4, 5*k = -3*w - 5. Which is the closest to -7?  (a) w  (b) -0.1  (c) 1\/5  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.022 times 1981635\nAnswer: 43595.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 777 and 2168607.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.3 and 107016.\nAnswer: 107016.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 6 + 4)*(0 + 1 + 0) - 5 + 4 - 1)*(-21*u + 20*u + 27*u + (0 + 12*u + 0)*(-3 + 1 + 0)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 + 8*n**2 + 9*n - 4. Let a be h(9). Is (-4)\/(a - -8) + 294 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 2)*(17*c**2 - 91*c + 91*c)*(-118 - 129 + 237 - 10*c).\nAnswer: -170*c**3 - 170*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 5*l**3 - 25*l**2 + 7. Give v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -0.2  (b) -1.96  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p - 3. Let h be a(3). Suppose -v - v + 34 = h. Suppose 114*l - 113*l = 32. Calculate the remainder when l is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - j**2 + j + 1. Let u(k) = -4*k**3 - k**2 - 3*k + 1. Let w(l) = u(l) + 5*z(l). Let x = -37 - -42. Determine w(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*d - 5*c + 10*c, 5*d + 4*c - 80 = 0. Let s = -6 - -12. Factor -10 - 15*q + 4 + d*q**2 - s*q.\nAnswer: 3*(q - 2)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l**4 - l**3 + 3*l + 6*l**2 + 3*l**2 + 0*l**2 - 2*l in the form g*l + w + o*l**3 + k*l**2 + n*l**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 6883*s - 10 + 8*s**3 + 6872*s as a*s**3 + f*s + n + h*s**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s - 234065 + 234065.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 72241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 307 + 97 = 0. Do -1\/4 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 11*h**2 + 6*h - 29. Let d be a(16). Suppose 6*w + 3*b = 2*w + d, -w = 4*b - 327. What are the prime factors of w?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000011111101010001111101010 - -100?\nAnswer: 10000011111101010001111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*y - 12 = 43*y, -4*a = 32*y + 45*y + 139 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -11. Suppose -787 = -2*b - 783. Let c be (0\/(-4) - -2) + 15. Solve p - x = -n, -p = b*p + 2*n - c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 38 = 23. Let b(j) be the first derivative of -1 + 3*j - 1\/4*j**4 - 3*j**2 + 5\/3*j**p. Calculate b(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/k**(12\/5)))\/k*k*k*k**(-13) assuming k is positive.\nAnswer: k**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -485*t + 2909. Let h be v(6). Which is the closest to 4?  (a) -3  (b) 0.01  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20932.134 * 0.19.\nAnswer: -3977.10546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 224060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jojx when four letters picked without replacement from ojaxojtxjoj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 16.5  (b) 8.7  (c) -0.4  (d) 4\/7  (e) -223  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 15 = -2*o + r, r - 30 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 - 42*b - 110. Let s be n(45). Suppose c = -c - 5*h + 45, -c = 2*h - s. Calculate the remainder when 278 is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 2\/15, 0.2, 4049, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 3*s + 18, -13 - 20 = 3*x + 2*s. Let b = x + 16. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 107 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -3\/5  (b) 4  (c) -1\/6  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 11:10 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1434)\/(-1195))\/(104\/30). What is the second smallest value in 1\/9, -0.5, y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 248*p - 78 = 242*p. Solve 5*c + 3*q - p = 0, -c - 3 = 5*q - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4354*j + 4619*j - 14575 = 0 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 43*w**2 + 5*w - 5. Let c be j(-3). Suppose 0 = -3*q + 494 + c. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2930 - -2972. Calculate the highest common factor of 66 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53.32648 centuries in decades?\nAnswer: 533.2648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2 + 17492562*t.\nAnswer: -3*t*(t - 5830854)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 5*i**2 - 2*i + 6. Let j be q(5). Let k = -7 + 10. Is 28\/k + j\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 - 11*s**2 + 74*s + 624. Calculate h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do 40 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 0.0126.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/11  (b) 3.5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -844*p**4 + 8*p**3 - 20*p**2 - 2990*p.\nAnswer: -20256*p + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*h**4 + 8155*h**3 + 14615*h**2 + 4585*h - 1830 = 0 for h.\nAnswer: -1, 2\/9, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**2 + 0*l**2 + 2*l**2 + (10*l - 47*l + 105*l)*(-5*l - l + 3*l + (l - l + 2*l)*(-1 + 1 + 1)).\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1557 - 1552. What is the third biggest value in u, -0.5, -4785?\nAnswer: -4785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j**(-1\/4)\/j)\/j**(-3))\/(j**(1\/4))**31)**(-6\/5))**(-6\/7) assuming j is positive.\nAnswer: j**(-216\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g*g\/g**(-4)*g)\/g)\/(g*g**23))\/((g*g*g**10*g)\/g)**(-31) assuming g is positive.\nAnswer: g**355","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n**2. Let s(x) = 9*x**2 - 15042 + 15042. Determine b(s(d)).\nAnswer: -162*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 + -6)*(-301 + 300). Let r(m) = 5*m - 3*m**3 - m**3 + m**2 - 8 + 6*m**3. Let c(b) = 3*b + 4*b**3 + 0 + b**2 - 3*b**3 - 5. Determine d*r(y) - 8*c(y).\nAnswer: 2*y**3 - 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -2.7?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 9 + 3*h + 0*h - 7.\nAnswer: 3*h - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 6*v + 111. Let x be g(-17). Let o be (18\/x)\/(3 + -2). Solve -o*w + 0 - 1 = n, -5*n + 2*w = -31 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-764)\/1146)\/((-4)\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14572 - 14362. Solve 230*h - 60 = w*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -2*n**4\/9 - 94*n**3\/9 + 9968*n**2\/3 + 376*n\/9 - 119584\/9 = 0?\nAnswer: -148, -2, 2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*h**5 + 1290628*h**4 - 27842895*h**2 wrt h?\nAnswer: 1800*h**2 + 30975072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m**2 + 558*m**3 + 733*m**3 + 660*m**3 to the form l + j*m**2 + w*m**3 + t*m and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t**2 + 7688*t + 632316 = 0.\nAnswer: -79, 2001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32100330 (base 4) to base 2.\nAnswer: -1110010000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -95 - -135. What is the highest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 62*c**2*o**3 - 664*c**2*o**2 - o**5 wrt o.\nAnswer: 372*c**2 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3083365 or 3083364?\nAnswer: 3083364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/2)\/b)**(3\/10)\/((b\/(b\/b**1))\/b)**(4\/33) assuming b is positive.\nAnswer: b**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 530 = -1786*x + 1789*x - 7*h, 9*h = 4*x + 3*h - 450 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68 - 95 + 247 = -12*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1.067 or -44?\nAnswer: -1.067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -8*1*(-3)\/3. Let t = -6 + u. Let v(l) = t*l - 3*l + 0*l + 2*l. Let n(q) = 4*q**2. Give v(n(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 + 81. Suppose 11*y - 7*y - 44 = 0. What is the greatest common factor of m and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 914866 (base 10) in base 12?\nAnswer: 38152a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w - 27. Let a(f) = -f**2 - 188*f. What is r(a(g))?\nAnswer: 2*g**2 + 376*g - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 5430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b*b*b**8*b)\/b*b)\/(b*b**(4\/5)) assuming b is positive.\nAnswer: b**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/9 - -46\/45. Let o be 36\/(-594)*9*22\/(-16). What is the closest to o in q, 3, 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide ((-26)\/6)\/(9\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*s = 2*d - 33, 2*d - 5*s - 23 = 0. What is the remainder when d is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 12*z**2 - 74*z + 1. Let i(b) = -2*b**2 - 2*b. Give -c(y) - 7*i(y).\nAnswer: 2*y**2 + 88*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 914 = -120*z - 46 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 15*b + 98. Let p be m(-6). Solve 25 = q - 13*z + p*z, 0 = -4*q + z + 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/715 and (-94)\/(-141) + (-269)\/165.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c4c - -1a9?\nAnswer: -a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-3))\/q**(-6\/11))\/(q**(-3\/2)*q**(1\/5)\/q*q)*q**3\/q*q*q**2*q*(q**(-1))**(-6\/37) assuming q is positive.\nAnswer: q**(48871\/4070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 1916, 3\/5, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -216*y**3 - 218*y**3 + 435*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5309 - 5310. What is the closest to u in 1\/2, -96, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((9\/3)\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 - 6*w. Let x be z(-6). Let u(m) be the third derivative of -5 + 3\/2*m**3 - 3*m**2 + 0*m - 1\/60*m**5 + 1\/24*m**4. Calculate u(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -6*m - 9. Is 27 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -166581*a**3*i**3 + a**2*i**2 - 22030*a*i**3 - a*i wrt a.\nAnswer: -999486*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15581311.\nAnswer: 19, 53, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of n**4\/12 + n**3\/6 + 4*n**2 - 4*n - 90. Determine x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.08 - -0.2. Let l be 3\/(-14) - 720\/3360. Sort l, -2, g in ascending order.\nAnswer: -2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/13  (b) 4  (c) -2  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*i**5 + 100*i**4 - 735*i**3 - 80*i**2 + 515*i + 180 = 0 for i.\nAnswer: -9, -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -5*n**3 - 48*n**2 - 7*n - 5. Let z(g) = 2*g**3 + 24*g**2 + 3*g + 2. Determine -3*d(b) - 7*z(b).\nAnswer: b**3 - 24*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*s**2 + 3*s**4 - 2*s - 1 + 3*s - 3 + s**2 as w*s**4 + k*s**3 + v + j*s + m*s**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 32, -1, 0, -28, -119 in ascending order.\nAnswer: -119, -28, -1, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/(-16))\/((-1)\/8). Let z(w) = 2*w**2 - w - 42. Let b be z(y). Find the first derivative of -13*q**4 - b + 2575*q - 2575*q wrt q.\nAnswer: -52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.108347271 to one dp.\nAnswer: -13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, x: 5, b: 4, v: 1, w: 1, c: 3}. Give prob of picking 2 b and 1 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 2*w = 14, 3*l = -l - 2*w + 12. Find the third derivative of -8*p**2 - 278*p**3 - 33*p**2 - 9*p**2 + 16*p**l wrt p.\nAnswer: -1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 647, 591, 525, 449, 363, 267?\n\"Answer: -5*g**2 - 41*g + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 - 3. Let q be y(4). Let k = q - 10. Calculate the smallest common multiple of 2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 82, 676, 2280, 5398, 10534, 18192?\nAnswer: 28876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 91960043 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of -y**7\/21 + 236*y**6\/15 - 6843*y**5\/5 - 14042*y**4\/3 - 14161*y**3\/3 + 1581*y. Factor z(f).\nAnswer: -2*f*(f - 119)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -12, -19, -18, -3, 32, 93?\n\"Answer: w**3 - 2*w**2 - 8*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 + -3 - 2\/(-2). Let n = 139 + -144. Sort -1, 3, n, c in descending order.\nAnswer: 3, c, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3*k**3 + 3*k**2 + 8*k - 10. Let n be w(1). Solve -5*j + n*j + p = 6, 27 = -4*j + 5*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nknyyrynyrrrjrjy. Give prob of picking 1 n and 1 r.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 12:03 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m = -15*m + d + 11, 0 = 3*m + 3*d - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -1. Let f(x) = -7 + 9 - 3*x + 50*x**3 - 49*x**3. Let i(l) = 2*l**3 - 8*l + 5. Let v(n) = 8*f(n) - 3*i(n). Determine -3*o(g) - 3*v(g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 1:11 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kzkkzk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2178, 2180, 2182, 2184, 2186?\n\"Answer: 2*p + 2176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 12\/(-15))*-5. Let p be (-25)\/(-10)*(1 + o). What is the second derivative of p*b**2 - 8*b + 0*b**2 - b**2 wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1692801?\nAnswer: 3, 11, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 177, 1314, 4385, 10356, 20193, 34862, 55329?\nAnswer: 82560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -174 - -299. Let a(l) = l**2 + 4*l + 4. Let c be a(-7). Calculate the greatest common factor of c and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2173080 divided by 310440?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1128 - -1134. Solve 2*x - 2*z + 0 = -k, -3*z + 11 = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -38d + -d4d?\nAnswer: -11db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeen?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/21 and 49\/50133.\nAnswer: 350931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196 = 4*t + 4*z, -3*z - 196 = -4*t - 7. Let b(n) = 16*n + 134. Let v be b(-8). What is the greatest common factor of v and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -26*j. Let n(c) be the second derivative of 0*c**2 + 0 - 2*c + 1\/3*c**3. What is n(i(u))?\nAnswer: -52*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9975 + -9965. Let t(n) = n**3 + 2*n**2 - 3*n + 1. Let c be t(2). Solve x*d = c*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c819 + -6064?\nAnswer: -15880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -1. Let g(v) = -2*v**2 + 28*v + 10. Determine 8*f(a) + g(a).\nAnswer: -2*a**2 + 28*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 451*a**2. Let d(o) = 6*o**2 - 7*o**2 - 5*o**2 - o**2 + 5*o**2. What is d(t(i))?\nAnswer: -406802*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 15456029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 347785?\nAnswer: 5, 69557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/5)*v)**44*(v**(-1\/3))**(-36))**10 assuming v is positive.\nAnswer: v**736","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**4 - 3*r**4 - r**4 + (-4 + 3 + 3)*(-r**4 + 0 + 0) + 80*r**4 + 1175*r - 1175*r.\nAnswer: 75*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36456*j = -3*c - 36403*j + 63, -3*c + 105 = 2*c + 3*j for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-9 - (14 - 25)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 + 5*m**2 + 17*m - 15. Let l be b(7). Solve 2*w = 5*w + l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 6*p. Sort p, -3, -2 in ascending order.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(k**(-2\/5)\/k)))\/k)**(-3\/28)\/(k**4*k*k**(-6)*k) assuming k is positive.\nAnswer: k**(9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2  (b) 11\/13  (c) -2225.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 92 and 32246?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -35 - 10. Suppose h - 43 = k. What is the highest common factor of 29 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 10*z. Let g(i) be the second derivative of i**3\/3 - 8*i. Let q(k) = -28*g(k) + 6*o(k). Let t(b) = 4*b. Give t(q(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of k**8\/56 - 13*k**4\/12 + 3*k. Find the third derivative of i(n) wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -56*g**2 + 6*g**2 - 3*g**2 + 42*g**5 wrt g.\nAnswer: 2520*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.037 or -0.0153052?\nAnswer: -0.0153052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 215 - 95. Let f = 178 - t. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - b + 3*b)*(-505*b + 42*b - 325*b) + 2*b**2 - 2 - b + 2.\nAnswer: -2362*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54 = -13*h + 3*i, 2*h + 11 = 115*i - 114*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 0. What is i rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -t**3 - 2*t**2 + 6*t**3 + 7*t**2 - 3*t**3 as j*t + y*t**3 + f + r*t**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/(-28)*(-12)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 a when four letters picked without replacement from aaaaavaaaavvav?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n - 5. Suppose -3*j + 7 = h, 3*j - 2*j + 5*h = -7. Determine f(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 7*i - 60. Does 17 divide f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 1 - 66*m - m**2 - 5 + 62*m.\nAnswer: -(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 23 = 4. What is the remainder when 35 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/3 + 122*o\/3 - 121\/3.\nAnswer: -(o - 121)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9286 + -2471a?\nAnswer: -319a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -304114 divided by 152057?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(4\/3)*r)\/r*r**(14\/5)\/r)**15 assuming r is positive.\nAnswer: r**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -134 - -132.39. What is u rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 + 0.3. Let g = -2 + 7. Which is the nearest to -0.2?  (a) f  (b) 1\/6  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13480 - -13460.068. What is s rounded to 1 dp?\nAnswer: -19.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/4*4*(-88)\/48 + 6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/9, -5, -6\/11, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from znhhochhshzhoossh. What is prob of sequence oz?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21*(-6)\/(-72)*-8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -4*j**2 - 5. Let t(z) = -2*z**2 - 2. Let l be ((-14)\/(-4))\/(-7) - (-9)\/(-2). Give l*t(g) + 2*w(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4240961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.504628041 rounded to 3 dps?\nAnswer: 0.505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 + 26. Suppose 0 = 6*z - c*z - 128. Let x = -46 + z. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 78 - 544\/7. Which is the nearest to 0.1?  (a) i  (b) 5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -94030000 to the nearest one million.\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(567) + 5 - sqrt(567))**2 + 2)*6 + ((5*sqrt(567)*-3)**2 - (3 + 4 + sqrt(567))).\nAnswer: -9*sqrt(7) + 127430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48599.69ms to seconds.\nAnswer: 48.59969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 6*o**2 + o - 1. What is the tens digit of b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4034?\nAnswer: 2, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155683 is divided by 22238?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {a: 4, j: 1, x: 2, b: 2, n: 1}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.003  (b) -1  (c) 1\/4  (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.22 in 6365, -1, 0, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56 and 420.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of a**3\/3 + 4*a**2 + 3*a + 4. What are the prime factors of g(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h - 6*t - 6 + 36, 14*h - 345 = -9*h - t for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:35 AM and 1:59 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 10200?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -61 + 109 + -80 - (6 - 2 - 2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*q**5 + 0 + 0*q - 2\/3*q**4 + 2\/3*q**2 - 1\/3*q**3.\nAnswer: q**2*(q - 2)*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000012709003877 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1868*z + 1904 = -1596*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 - t + 11. Give c(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -16699130 divided by -1910\nAnswer: 8743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507378.\nAnswer: 2, 3, 103, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111101010 + -10010110?\nAnswer: 1101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 154, 153, 152, 151, 150, 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 2*y - 2*y = 22040, 4*y = 20. Let k = w + 7380. What is k rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2b6b1 (base 12) to base 11\nAnswer: 42209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*((-29)\/5 - (-3)\/(-15)). Suppose -41*i + c = -42*i. Let y(x) = x - 5. Give y(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23938823.\nAnswer: 23938823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/80 and 51\/45453440?\nAnswer: 45453440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 48159045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 - 3*i. Suppose 4 = 5*n + c + c, -3*n - c + 2 = 0. What is the smallest common multiple of 21 - (3 + -2 + n) and h(-3)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 110 = -116, 0*f - 2*f - 5*y - 17 = 68 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 7 = -2*k, -3*k + k + 5*q + 23 = 0. Calculate the lowest common multiple of 8\/24*(1 + 2) and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 66441\/2 + -33217. What is the nearest to -1 in 1, w, -2\/5, -2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a\/(a\/a**34*a))*a)\/(a*a**(-4\/9)*a))**(10\/3))**(4\/17) assuming a is positive.\nAnswer: a**(-11720\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 10101311113 (base 4) to base 3\nAnswer: 2002222120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l**5 - 5*l**5 + 8*l**5 + (0 - 3 + 1)*(0*l**2 - 2*l**5 + 0*l**2) - l**5 + l**5 - 3*l**5.\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -334432300 (base 5) to base 11\nAnswer: -9235a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -92*z**3 - 11*z**4 + 98 - 95 + 9*z**4 to u + r*z**3 + b*z**4 + q*z**2 + a*z and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llyylylylyylyyylbly. Give prob of sequence yy.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 9180956.734 to the nearest 10000.\nAnswer: 9180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l**3 + 4*l**3 + 9*l**3)*(20 - 28 + 29)*(4 - 3*l - 4) to h*l**3 + k*l**4 + w*l**2 + d*l + a and give k.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 109 + -109.07. What is the closest to b in -0.5, 2\/7, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3226052.0127 - -3225896. Let m = 156.57 + -0.57. Let c = u + m. What is c rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1203, -3823, -6443, -9063, -11683, -14303?\nAnswer: -16923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x. Let s(u) = -4*u**3 - 14*u**2 + 3*u. Give 3*p(k) + s(k).\nAnswer: -4*k**3 - 14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjj. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence snj when three letters picked without replacement from {m: 1, n: 8, o: 2, s: 4, k: 2, j: 3}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 22*d + 137. Calculate the least common multiple of 2 and u(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 4*a + 15 = 0, 3*a + 75 = 3*k. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 16 + -12 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5917, 10594, 15271?\n\"Answer: 4677*n + 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2573341 divided by -19?\nAnswer: 135439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 72324 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -9628*q + 9966. Does 222 divide g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 218899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 743848, 743279, 742714, 742153, 741596?\n\"Answer: 2*w**2 - 575*w + 744421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 2*d - 4*g = -162, -75 = -d - 4*g. Let a = d + -82. Let f(r) = -3*r + 4. Give f(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -388253460, -388253461, -388253462, -388253463, -388253464?\n\"Answer: -u - 388253459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 4 - 4. Let b be (-6)\/(-2)*(10 - 9). Let r(v) = v**3 - 3*v**2 - v + 3. Let d be r(b). Put d, 1, u in increasing order.\nAnswer: d, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 (base 13) to base 10\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.45836856 rounded to two dps?\nAnswer: -5.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of 1\/9*k**6 - 3\/2*k**4 + 8\/3*k**2 - 26\/9*k**3 + 2\/15*k**5 + 223 + 8*k. Let d(l) = 0. Calculate l.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 5*k**3 - k**2 - 2*k. Let s = -2 + 5. Let t be d(s). Calculate the greatest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, s: 8, z: 1}. Give prob of sequence zssb.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a - 18*a - 6*a + 21*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -1087995833*x. Let p(s) = -s. Calculate p(h(q)).\nAnswer: 1087995833*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 9*x**2 - 19*x - 7. What is q(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (6 + -4 - 32) + 2 + 21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 43 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 264024950593 minus -5?\nAnswer: 264024950598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 + 4 - 4 + (-2*c**2 + c**2 - c**2)*(505 - 250 - 227))*(0*c**2 - 1 + 2*c**2 + 1).\nAnswer: -116*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 + 133*t - 387. Let c be i(130). Solve 0*a - 4*a - j + c = 0, -a = -3*j - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t + 31. Let l(m) = 1. Let s(a) = 4*l(a) + u(a). Is s(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 21*r**2 - 4*r + 10. Let t be n(3). Suppose -3*d + 6*d = 5*k - t, -k + 27 = 2*d. What is the remainder when 85 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.2 and -119.61.\nAnswer: -382.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, 8, 189, 1\/6 in ascending order.\nAnswer: -1\/5, 1\/6, 8, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -7*v - 384. What is the common denominator of -51\/98 and v\/(-4)*45\/(-525)?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {t: 1, v: 2, p: 1, m: 1, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 4. Let r be (1 - (-2)\/(-4))*h. Suppose r*t + 4*t + 45 = 5*f, 2*t - 62 = -4*f. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 214 - -64. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 - 0. Suppose -16*b + 12*b + o = 0. Find u, given that -2*u**4 + b*u**3 + 4*u**4 - 4*u + 2*u**2 - 4*u**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -75 - 561959.\nAnswer: -562034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (23 - ((1 - 3) + 6) - (-67 + 56))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 - 2*x**2 + 2. Let o be b(2). Let r(w) be the third derivative of -w**5\/20 + w**4\/24 + w**3\/6 + w**2 - 139. Calculate r(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (((-1705)\/66)\/31)\/(1\/(-6)). Solve -4*o + 21 = x*i, -o + 1 = -2*o + 5*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -277.4 + 277. Let v = -124.9 + 125. What is the nearest to -0.2 in u, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 236*i - 488. Let t be u(2). Let l(m) = m**2 + 13*m - 8. Calculate l(t).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 11037, 11109, 11181, 11253, 11325, 11397?\n\"Answer: 72*w + 10965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7089732 and 26910.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**6*r*r**(-8)*(r*r**2\/r)**(2\/11))**(-28\/5) assuming r is positive.\nAnswer: r**(196\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -16415 (base 13) in base 5?\nAnswer: -2324222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -1.7, -0.4 in increasing order.\nAnswer: -1.7, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -5*d + b, -35*d + 32*d + 3*b = 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = -2*h + 24, 5*h - 26*v + 285 = h + 5*h + 3*h - 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -210.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.78 and 0.4.\nAnswer: 2.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (16\/(-4728)*(-12)\/(-18))\/(-3 + 1). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 122417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 375 (base 12) to base 3.\nAnswer: 201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*a + 14*a - 2*a - 6*a - 17*a - 3*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40 and 138356.\nAnswer: 1383560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14*13.35.\nAnswer: 186.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2*z**2. Let y(s) be the first derivative of -s**2 - 2. What is y(a(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 586*q**4 - 17*q**3 - q**2 + 2*q - 7257154 wrt q?\nAnswer: 2344*q**3 - 51*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 + q + 6. Let h be v(0). Suppose 4*b - 4*p = 30 + h, -5*b - 2*p + 59 = 0. Let g = 12 - 7. Solve b = z - g*c, 5*z + c + 8 = -15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 20 = -4*a, 3*a = l + 9 + 25. Solve -4 = -o - t + 3, -4*o = -2*t - a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -82 + 143. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j\/(j\/j**(1\/5)))**(2\/15)*j*j**(2\/25)*j*j**(-12)*j assuming j is positive.\nAnswer: j**(-647\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7, 4, 15, 26, 37, 48?\n\"Answer: 11*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16404881 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -399, 24126, -7 in ascending order.\nAnswer: -399, -7, 24126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 137117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 5*o - 14, -2*p + 2*o = -3*p + 2. Let d = -0.21 + 0.71. What is the nearest to p in 1, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2091930 to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-272802)\/2622 - 2\/(-46)) + -18 + -1?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4123 and 46417?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 AM and 11:05 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-72)\/162 + 1104\/3456.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + d - 4*k = 71, -4*k = -4. Let f be (-37)\/((-1665)\/2600) + 4\/18. Let o = f + d. What is the remainder when 131 is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 - 1 + 5)*(t + 0 + 0) - 52 + 52 - 14*t)*(-3 + 5 + 1)*(2 + 1 + 3)*(0*t + 2*t + 0*t).\nAnswer: -540*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-2 + (1 - -3)) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/9, 1\/5, 0, 0.11, -0.05, 7.6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 8 = 0, 4*t + 726 = 9*t + u. What is the remainder when t is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.623 + -0.033. Let f = l - 0.590114. What is f rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 4*q = 15999984, 2*f - 5*q - 21373200 = 10626780. Round f to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = d + 38, -3*d + 74*q + 26 = 79*q. What is the closest to 0 in d, -7\/15, 2?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 12:27 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/2*((-2)\/(-27))\/(2\/(-3)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1331311 (base 4) to base 12.\nAnswer: -47b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of -5*l**4\/2 - l**3\/3 - 3. What is the units digit of p(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -63, -85, -87, -69, -31?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 183396 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -6*r - 63. What is m(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-16))**(-40)*((f**(-11)\/f)\/f)**(11\/4) assuming f is positive.\nAnswer: f**(2417\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-32)\/5 + 4\/10. What is the tens digit of 15*(-2)\/r*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - 1201111102?\nAnswer: -1201111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/17, -1.18, 48?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 29 by 5.\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -5*o**2. Let k(v) = -5*v**2 + 7*v**2 - 3 - 10*v**2 + 3. What is z(k(t))?\nAnswer: -320*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 PM and 8:33 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -160*12\/(240\/27850). What is x rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 523*a + 14392 + 8456 = 1475*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-11)\/55)\/((-1)\/(-10)*85\/51).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 46707*z**2 + 130*z - 46707*z**2 + 2 + 2*z**3 to the form u + t*z**2 + g*z**3 + q*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11852069*q**2 + 29315342.\nAnswer: -23704138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m**2 - 7*m - 8. Let j(r) = 3*r**2 + 13*r + 16. Let a(g) = -3*j(g) - 5*s(g). List the prime factors of a(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1963724 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 178*l + 11 - 14 - 182*l. Let f(k) = -9*k - 7. Let q(b) = -3*f(b) + 7*u(b). Let v(z) be the second derivative of -19*z**4\/12 - z. Calculate v(q(i)).\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*v = 2*t - 44*v - 5, 0 = -2*t - 5*v + 29 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.9 - -0.1. Let t = 423 - 422. What is the second biggest value in 0.08, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1634721257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 10:19 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 12:33 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 127 divided by 5.\nAnswer: 127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -a**10\/151200 + a**6\/144 + a**5\/15 + 3*a**2. Let g(d) be the third derivative of w(d). Differentiate g(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 8*w**3 - 7*w**2 - 6*w - 3. Let s(h) = h**3 - h**2 - h. Determine -6*s(f) + v(f).\nAnswer: 2*f**3 - f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**3*a*a\/(a**1*a)*a)**36\/((a*a\/(a\/(a\/(a\/(a**(-3\/7)\/a))))*a*((a**6*a)\/a)\/a)\/((a\/(a**6\/a))\/(a\/(a*a*a**5)))) assuming a is positive.\nAnswer: a**(-277\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5468287 to the power of 1\/2, to the nearest integer?\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12073722, -24147440, -36221158?\nAnswer: -48294876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1176 = -3*w + 2*v + 53, w = -v + 403. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 5. Is -1\/8 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 r, and 2 y when four letters picked without replacement from yyjjzyyzbzr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*y - 27. Is (0 - -66)*y\/12 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l**2 - 50*l + 27. Let s be m(-25). Let u be (-9)\/s + (-4)\/(-3) - 4. Put 5, 1, -8, u in decreasing order.\nAnswer: 5, 1, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 + 6*s + 2. Let q be w(5). Suppose -1 = q*b - 43. Calculate the greatest common factor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 214.50213ns in minutes?\nAnswer: 0.0000000035750355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -20. Suppose -3*l - 4*x + 12 = 0, 3*x = -b*l - 2*l + 9. Solve 12 = -q + 2*y, q - 5*y = -l*y - 27 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a\/a**(-2\/7)*a*a**(-2\/5)*(a**(2\/5))**(-13))**8 assuming a is positive.\nAnswer: a**(-368\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 32719 in -0.2, 5, 1\/6, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(sqrt(54)\/sqrt(6)) + -5 + (sqrt(144)\/sqrt(6)*1)\/sqrt(12).\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 7*z + 9 = -2*z, 1 = z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 1) + 33 + -34 - 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20138.\nAnswer: 2, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 18, r: 2}. Give prob of sequence yyry.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7399 + 6780 - 11299)*(2*u**2 - 3*u**2 - u**2)*(-2 + 1 + 2) as t*u + q*u**2 + b and give q.\nAnswer: 23836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -445942 less than -447340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g - 8*g + g + 7*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12114 and 2.\nAnswer: 24228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-5))\/((-11)\/(-55)). Suppose 2*x + 0 - r = 0. Solve -13 + 5 = x*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 - 24. Find x, given that 6*x + 8*x + 4 - 28*x**3 + 14*x**5 - 2*x**2 + 4*x**4 - 6*x**v = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r + 7. Let v be t(4). Factor -3*y**3 - 1 - 2*y**v - 2*y**2 - y + 3 + 6*y**3.\nAnswer: (y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbl when three letters picked without replacement from {b: 2, l: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 6 - 3 + 15*u**2 - 3. Let g(f) = 2*f**2. What is a(g(x))?\nAnswer: 60*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, b: 2, l: 3, e: 2}. Give prob of picking 1 g and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108162.\nAnswer: 2, 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, d: 18}. What is prob of picking 2 d?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*c + 22 = -67*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2545 + 2550. What is the fourth biggest value in -1\/2, v, -0.09, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of 1\/12*n**4 - 3*n + 0*n**3 + 0 + 0*n**2. Let c(v) = 4*v**2. Give c(z(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4656 and 28518?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28) + sqrt(252))\/sqrt(4) + sqrt(35)\/sqrt(5) + 3.\nAnswer: 3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2*m = m - 4, 4*s - 3*m - 12 = 0. Suppose s*f = 5*f. Suppose z - 28821 - 52179 = f. Round z to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -55, -154, -253, -352, -451, -550?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*w - 956 = -7534. What is the smallest common multiple of w and 12?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1290*n = 1288*n - 3*s - 9, n - 8 = s. Factor 28\/3*z - 8\/3 + 44\/3*z**n + 80\/3*z**2.\nAnswer: 4*(z + 1)**2*(11*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -870\/7 - -124. Let d(g) = g**2 + 4*g - 6. Let s be d(-4). Let y be (-8)\/48*3*4\/s. What is the closest to j in y, 0.8, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18081761 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/((-108)\/6)*(-210)\/(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89 = 125*x - 50*x - 96 - 715 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 11:33 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3282 is divided by 1544.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9.5 + -6.5. What is the closest to -2\/3 in o, -3, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 8406 = -5*m + 3*m, 3*m + p - 12624 = 0. Calculate the common denominator of (0 - 0 - -1)\/((-2684)\/m) and -7\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 PM and 7:28 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1536011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101210012120 (base 3) in base 11?\nAnswer: -468859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.41 + -0.91. Let v be 0 - 0 - (-2)\/3. What is the closest to v in -2, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.4 - 0.5. Let o = z - -0.2. Let p(v) = 2*v + 3. Let u be p(-3). Which is the nearest to -0.1?  (a) o  (b) 0  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/1416 and -173\/125670.\nAnswer: 502680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 64*n. Let p(l) = -10*l + 0 + 0 + 11*l + 0. Give i(p(x)).\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -141603 + 895252. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10021.7 and -20.\nAnswer: -10041.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -675726, -675719, -675708, -675693, -675674, -675651?\nAnswer: -675624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 126 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -239.899 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 2, -4, -821, 4 in decreasing order.\nAnswer: 4, 2, -4, -8, -821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -412, 556, 2170, 4430, 7336, 10888, 15086?\n\"Answer: 323*q**2 - q - 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13381.\nAnswer: 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 222*t + 225*t + 216*t - 881*t + 219*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 8 = -5. Differentiate -5*z**o + 5*z**3 + 4*z**4 + 6 - 1 with respect to z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**3*d**3 - b**3*d**2*k**2 - 7*b**3*d*k + 617*b**2*d**3*k**2 - 5*b*k + 6*d**2*k wrt k.\nAnswer: -2*b**3*d**2 + 1234*b**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = -4*s + 3*s - 8, 4*v = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 3  (b) -113\/17  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -10014870 divided by -1669145\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 0*a. Let y = a - -5. Suppose 4*p + 2*u - 2 = 0, -y*p = -3*u - 12 - 7. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16\/4 - (1 - -2). Let x be ((-2)\/4 + 0)\/t. What is the nearest to x in -0.5, -2, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2397, -2259, -2057, -1815, -1557, -1307?\n\"Answer: -4*u**3 + 56*u**2 - 2*u - 2447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/((-5)\/((-5)\/2)). Let f be (6\/(-8))\/(3\/x). Suppose -4*k - 20 = -4*y, -3*k - 7*y + 6 = -3*y. Which is smaller: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 4*u + 10 = 0. Calculate the remainder when -2*(9\/(-6) + 1) - -23 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 7*d**3 - 6*d**2 - d + 3. List the prime factors of r(6).\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*q**2 + q**4 + 14*q**2)*(-3 - 1 + 6) + 2*q**4 + 2*q**2 - 2*q**2 + 41*q**4 + 1 - 36*q**4 + 3.\nAnswer: 9*q**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-7)\/2)\/((-4)\/8). Let l be (1 - o)*1\/(-2). Suppose 68 = l*p + 5. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2382723 is divided by 1116?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1582*z**3 - 1566*z**3 + 3186*z**3 + 20*z**2.\nAnswer: 38*z**3 + 20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 + 67. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -96*b + 536. Let k(c) = -4*c + 6. Let l(m) = -h(m) + 20*k(m). Calculate l(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -546, 20, -5, 1\/10, 1\/4, 0.2.\nAnswer: -546, -5, 1\/10, 0.2, 1\/4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 + i + 2. Let f = -28 + 26. Let p(b) = -2*b**2 - 2. Determine f*p(s) - 3*t(s).\nAnswer: -2*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (-14 - -33) + 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**3 + 2*k**3 + k**3)*(-6 + 2 + 13)*(-10*k - 2 + 2).\nAnswer: -270*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from aqaaaqqaqaaaq?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 + 8*z**2 - 5*z - 10. Suppose v = -s + 8, 0*s + 3*s - 17 = 4*v. Let o(u) = -u + 9. What is the remainder when i(s) is divided by o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 532 and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + -0.15. Let v = q - -0.05. Are -1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19.615 - -19.515. Sort -181, 0.2, j, 5, -3.\nAnswer: -181, -3, j, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**3 - 64*b**3 - 45*b**3)*(3*b**2 - 3*b**2 - 3*b**2 + b**2 + 3*b**2 - 6*b**2 + (-3 + 4 + 0)*(1 + b**2 - 1) + 3 - 3 - 2*b**2 + b**2 - 3*b**2 + 3*b**2).\nAnswer: 545*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3182 and 0.0537?\nAnswer: -170.8734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 8 = 4*b, b + z + 4 - 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-1 + sqrt(1872))*-2)*-3.\nAnswer: 3 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/2211 and -24\/871?\nAnswer: 28743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 523 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -138*u + 1889461 - 1680564 = -3944213. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5257 + 5246. Let h(t) = -t + 2. Let d be h(-3). Is i less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 AM and 5:15 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -248  (b) -3  (c) -0.5  (d) 0.1  (e) 0.2  (f) 0.5  (g) -2\/2095\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 5:52 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -d + 224. Let u = d + -1347\/7. Let i be (-1 + 1)\/2*(33 - 34). Which is the closest to i?  (a) u  (b) 2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 12:20 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-34*j - 17 + 41 - 22)*(-4*j**3 - 2*j**3 - 2*j**3) to the form r*j**4 + o*j + z*j**3 + v*j**2 + g and give r.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2. Let n be w(0). Find the first derivative of n + 5 - 4*y - 4 + 11*y wrt y.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/84392 and 101\/61376?\nAnswer: 675136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 52\/6 + (-1)\/(-3). Suppose 3*w - 51 = -m. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -413, -409, -403, -395?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3*4\/(-480)*27?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -169\/5 + 34. Let q = 284 - 2552\/9. Let u be (-2)\/18*(-78)\/(-91)*(-105)\/(-45). Which is the third biggest value?  (a) q  (b) u  (c) 1  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*p - 25*p - 18 = 0. Solve 0 = 2*f + p*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9647*-5.\nAnswer: 48235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = -3*c - 165, 10428*c = 10424*c - q + 46 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 680 + -677. Which is the closest to 0?  (a) -1\/9  (b) 2  (c) -0.2  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = -4*w + 5, -x - 4*w + 14 = -3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p**2. Let m(y) = -y - 4. Let u(a) = -11*a - 26. Let q(i) = 6*m(i) - u(i). Calculate x(q(w)).\nAnswer: 50*w**2 + 40*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 115495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8650535 (base 9) in base 15?\nAnswer: 61980e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3365934140 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/106920 and -127\/69300?\nAnswer: 3742200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of q**3\/3 + q**2 + 14*q + 2. Give b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227.21016 milliseconds in minutes?\nAnswer: 0.003786836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 3*n - 17. Let q be a(7). Solve q*b = 2*h - 8, h + 12 = -2*h - 2*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/618570 and 67\/397155.\nAnswer: 564754410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -368 * 133\nAnswer: -48944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 86*j**2 - 5*j. Let w be p(4). Suppose -w = -r + 5. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 393756918 by 6.\nAnswer: 65626153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 111464+-4008\nAnswer: 107456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*0\/((-2)\/(-1)). Let s = d - -19. What is the highest common divisor of s and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ksy when three letters picked without replacement from {k: 2, y: 1, s: 2, j: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -3*o**2 - 83*o + 449. Let n(k) = 6*k**2 + 163*k - 895. Let i(p) = 13*f(p) + 6*n(p). Differentiate i(a) wrt a.\nAnswer: -6*a - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 4)*(-2*w + 0*w + w)*(3*w + 5*w - 3*w).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 2:55 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.8423879 to 3 decimal places.\nAnswer: 1.842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20223 + -33322020?\nAnswer: -33301131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 + 39*k - 383. Calculate m(25).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of t**2 + 0*t**4 + 101\/5*t**5 + 109 + 0*t**3 + 56*t. What is the derivative of d(o) wrt o?\nAnswer: 404*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2908828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f. Let u be n(-2). Let l = 0.46 - 96.46. Let v = -93 - l. What is the biggest value in -2, v, 0.8, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 198978888 and 368?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -64  (b) -0.1  (c) 1  (d) 0.1  (e) 28176\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 992 - 992. Suppose -1233 = -5*i + s + 182, t = -s. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 169*y**2 + 66*y**2 - 60*y**2 + 71*y**2.\nAnswer: 246*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -832 + 573*t + 423 - 5281*t + 409 as o + w*t and give w.\nAnswer: -4708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(5) - sqrt(15)\/sqrt(3)) + sqrt(5) + -5 + -3.\nAnswer: -13 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 7 = 13*i. Let x be i + -1 + 0 - 12\/(-2). Suppose -x*v + 258 + 306 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -70*r**3 - 5*r**2 + 35*r**3 - 40*r + 36*r**3 + 4. Let d be j(9). Sort 0.5, 2\/9, d, -2\/3 in increasing order.\nAnswer: d, -2\/3, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -113466*i**3 + 91107*i**2 wrt i.\nAnswer: -680796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1782 and 4734576?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 136 and 238.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o - 3. Let u be h(9). Let a(q) = q**2 - 8*q + 8. Let d be a(u). Is (6\/d)\/((-2)\/56) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -150*o + 156*o - 2835 + 1418 + 1417.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 694123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 1635*d + 29362. Give n(-16).\nAnswer: 3202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 4)*(0*g - 4*g - g)*((1 + 2 - 5)*(10*g + 4*g - 15*g) - 2*g - 12*g + g) as q + x*g + d*g**2 and give d.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-4)\/c)**(-16\/5))**(-4))**20 assuming c is positive.\nAnswer: c**(-1280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2358336 and 768.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-4 - (-4 + 4)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*n - 7926 = 253*n + 1902 + 1679 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) + sqrt(125)*-1 + -2)) + sqrt(125) + 2*(sqrt(125) + -1) + 1 + sqrt(125) + -1 + 4)**2*-3.\nAnswer: -9423 - 600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.15 in 0, 612, 1\/7, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in -0.19, 2, 2\/7, 4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3475, 3543, 3665, 3847, 4095, 4415, 4813?\n\"Answer: a**3 + 21*a**2 - 2*a + 3455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c**2 - 11. Let a(i) = 30*i**2 + 14*i - 7. Let f(d) = 4*d**2 + 2*d - 1. Let g(z) = 2*a(z) - 14*f(z). Give g(v(b)).\nAnswer: 16*b**4 - 176*b**2 + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + 1. Suppose 3 - 9 = 3*s, 2*d + 3*s = 354. Let x = 197 - d. Solve -5*k + b + x = -k, 2*k + l*b = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w**2 - w - 7. Let q be b(5). Round q to 0 dps.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 + (4 - 2\/(8\/(-4))). Let r(y) = 138*y + 17. What is the units digit of r(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 519 + -519. Suppose 0 = -8*d + 7*d - 3*p + 243, 2*d - 3*p - 441 = h. What is the remainder when d is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8\/57 - -337\/1254. What is the common denominator of -49\/16 and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 4*k. Suppose k = -3*a - w + 45, -2*a + 9 + 11 = 4*w. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of 193*p**7\/42 - 40*p**3\/3 + 3*p**2\/2 + 2*p + 282. What is the second derivative of t(n) wrt n?\nAnswer: 3860*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 311\/53577?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from {n: 1, b: 1, v: 2, g: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 22 + 54. Suppose 5*y - k*y = 0. Solve b**2 + y*b + 3*b - b + 2 - 5*b = 0 for b.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*m + 4. Suppose w = -2*k - 3*w - 16, -2*k = 5*w + 21. Solve m*s - 6 = -2*l, k*l + 2 = 4*s - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 4*v - 1. Let j be t(1). Let d be 1 - j*2\/(-3). What is the tens digit of (d - (4 - -2))*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.18 + -30.924. Let w = h + 33. Let j = w - -0.201. Round j to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 12:28 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 3. Let y be (-1631)\/(-1470) - k\/(-1). Let c = y - -2\/35. Are 0 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 54 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*x - 2075 = -51*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -131\/55 - -11\/5. Let w = 31\/10 - 18\/5. Suppose 0 = -z + 4*x - 0*x - 8, 4*z + 5*x = 10. What is the nearest to b in z, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -32. What is the remainder when 151 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 6. Let k(z) be the third derivative of -z**5\/20 + z**4\/24 + z**3\/3 + 2732*z**2. Calculate k(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 2\/65, 0.397, -0.13, -5, 3?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v - 38 + 1 = -2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2289 divided by -763\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 105 and 49644.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {m: 1, l: 4, x: 2, w: 1, v: 3, k: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -3, 7, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 10*w + 3. Let d be x(4). Let p = -40 + d. Solve -2*s = -p*k - 3, s = 2*k - 4*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 4*f + 117, 36 = d - f - 2. Let p = 6 + -4. Calculate the remainder when d is divided by (0 + 4)*9\/p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(6\/(-21)) - (-11 - (-3948)\/294). Determine y so that 6\/7*y**3 + 0 - 24\/7*y - c*y**2 = 0.\nAnswer: -2\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.0082 - 24.2918. Let h = -24.2999867 - o. Round h to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -799973592*p**3 + 981217707*p**2 wrt p?\nAnswer: -4799841552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**4\/8 + 4575*f**3\/4 + 1162431*f**2 + 1573153569*f\/4 - 3155615739\/8 = 0.\nAnswer: -1017, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*i = -31*i - 66 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 3273.7226 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 133.5*10\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 34848368.37 rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2*j**2 - 2*j. Let c be b(-11). Let o = -128 - c. Suppose 3*h + 5*r - 4*r = 104, 3*h = 5*r + o. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2 - 3. Suppose -5*z + 5 = -4*j, -8*z - 35 = -3*z + 4*j. Let n be f(z). Suppose -3*t - 57 = -n*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -4*u + 22*o - 25*o, 0 = 5*u - 2*o + 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 21956 != 417170\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i\/(((i*i\/(i*i\/i**(-13)))\/i*i)\/i*i))\/i**(-5\/3))\/(i*i\/((i**(-1\/5)\/i)\/i)*i**(-2\/5)))**22 assuming i is positive.\nAnswer: i**(4246\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*q**5 + 7824*q**4 + 5892*q**3 + 1475*q**2 + 123*q = 0. What is q?\nAnswer: -1\/4, 0, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5544268 - -4.132\nAnswer: 5544272.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 4*(((-5 + (1 + sqrt(567) - sqrt(567)) - sqrt(567)) + -5)**2 + (-4*-2*sqrt(567) - ((sqrt(567) + -1)**2 + 1))).\nAnswer: 320 + 1008*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, -1, -0.168938, 8?\nAnswer: -0.168938","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 156 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -65*w + 11 + 66 + 53. Let u = -2 + 2.3. Let g = 16 + -4. What is the second smallest value in w, g, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 31253 + -32?\nAnswer: 31221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 5, 1\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 23*q**3 - 32*q**3 + 34*q**3 + (4*q**2 - 5*q**2 - 4*q**2)*(1 - 17 + 2)*(-1 + 1 - 1 - 3*q).\nAnswer: -185*q**3 - 70*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180) - sqrt(180)*-4)**2*-2 + (-6*sqrt(1500)\/sqrt(3))**2 + 4.\nAnswer: 9004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -52\/99 and 55\/39261?\nAnswer: 1295613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 64062768 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4272, 79, 6.\nAnswer: 6, 79, 4272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f + 3905 = -9*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (45 - (6 - (-3 + -9) - 13)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - b + 19. Let n be j(15). Let w = n + 443\/2. Let m be 2\/3 - (-25)\/(-33). Is m greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -13*h**2. Let g = 135 - 132. Let t(m) be the third derivative of 0*m + 0*m**g - 2*m**2 + 0*m**4 - 1\/30*m**5 + 0. Give t(f(a)).\nAnswer: -338*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z*z**(-1\/7)*z))*(z*z**(-20))\/z)\/(z*z**(-5\/2)*z**0) assuming z is positive.\nAnswer: z**(-233\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**4 - 7*g**2 + 7*g**2 + (-7*g**2 + 2*g**2 - 9*g**2)*(-11*g**2 - 73*g + 73*g).\nAnswer: 151*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -s - 3749, -2*k + 1303 = s - 570. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114423 is divided by 427?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tihottiititipoihii. Give prob of picking 1 p, 1 o, and 1 t.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1070\/1589 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -101001000101 (base 2) in base 11?\nAnswer: -1a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 3*n = -3, -26*p = -25*p + 3*n + 3. Solve p = 4*c - 0 + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t**2 + 4 - t**2 + 2 - 5*t. Let u be h(4). What is the common denominator of (-2)\/u + (-27)\/(-16) and 27\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -5. Let z = 7 - f. Suppose 24 = -z*r + 5*r. Solve 2*x = 6*x - r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -62+208\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-6)\/x**2)\/(x\/x**(1\/3))**(-20)*((x**9*x)\/(x*x**(2\/33)\/x))\/(x**9*x\/x**5*x*x) assuming x is positive.\nAnswer: x**(91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = 2*k + 2*k - 75, -2*k + 48*z - 51*z + 69 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -3*x - 15, 2*x - 310 + 290 = 4*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13225 + 13223.5. What is the closest to -0.7 in 5, b, -4\/7, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -10*t**3 + 6*t**2 - 8*t. Let s(q) be the third derivative of -7*q**6\/40 + 11*q**5\/60 - 5*q**4\/8 - 587*q**2 - q. Give 11*g(y) - 6*s(y).\nAnswer: 16*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 12*x**3 + 34. Let j(h) = -16*h**3 + 11*h**2 - 26. Let d(k) = -3*k**3 + 2*k**2 - 5. Let g(b) = -11*d(b) + 2*j(b). What is -68*g(t) + 6*y(t)?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -3*((4*(-3*(sqrt(1053) - (sqrt(1053) + -1)) - (sqrt(1053)*2 + -4)))**2*4 + 0).\nAnswer: -808900 + 6912*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + 1 + 0\/(-3). Let r be q - (-2 + (-26)\/(-7)). Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 5*v**2 + 4*v - 2. Let n = 20031 - 20027. Give o(n).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -94.76 + 94.759994658. Round s to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 255 + -533. Let k = l + 277.5. Which is the second biggest value?  (a) k  (b) -0.3  (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0*q = 4*q - 24, 2*n - q = 3. Suppose 24 = n*f - 56. What is the units digit of (-2072)\/f*-1 - 9\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -0*f + 3*o - 40, -o + 11 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 - 91\/(-39) - (-5586)\/(-1368).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1410453677?\nAnswer: 773, 1824649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, f: 2, t: 2}. What is prob of sequence tfy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-51*n + 39*n**2 + 51*n)*(2*n - n - 3*n) to the form d + j*n**3 + u*n + i*n**2 and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18148*l - 75 = -18163*l. Let c(i) = 17*i**3 - 4*i**2 + 4. Let n(j) = -17*j**3 + 5*j**2 - 5. Give l*c(w) + 4*n(w).\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/5435 and -74\/3.\nAnswer: 16305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -19, -70, -145, -244?\n\"Answer: -12*h**2 - 15*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 5*m**2 - 29*m - 2. Let c be q(-3). Calculate the highest common factor of 26 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/18 and -11\/1564?\nAnswer: 14076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 70307, 562504, 1898457, 4500044, 8789143?\n\"Answer: 70313*f**3 + 6*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 84447 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3782, 13191, 28872, 50819, 79026, 113487, 154196?\n\"Answer: -s**3 + 3142*s**2 - 10*s + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of -r**3\/3 + 4*r**2 - 8*r + 1. Let k be s(6). Is 74 + 2 + k + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 260300\/266 - (-1)\/(28\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 - 23 = 3*m. Let y be ((-28)\/(-35) - 2)\/((-3)\/m). Suppose 0 = 6*a - 2*a. Solve 0 = -2*k + 5*d - y, a = 3*k + 2*d + 2*d - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 11:59 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 976 and 42087743?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 - j**2 - 1. Let c(r) = -4*r**3 - 6*r**2 - 5. Let o(t) = -c(t) + 3*g(t). Let u(v) be the first derivative of o(v). Find w such that u(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.40815 * -4.\nAnswer: 5.6326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 + 8*x**2 + 8*x - 14. Let d be s(-6). Is (-2)\/(-3)*14565\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/8)*t**(-1\/2)\/t*t)\/((t\/t**10)\/((t*(t**3\/t)\/t*t*t)\/t)) assuming t is positive.\nAnswer: t**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/((-7 + 3)\/56). Suppose 3*z - b = -4*s + 6*z, -4*s + 24 = -2*z. Suppose -2*c = -2*d + 324, -s*d - 5*c = -d - 478. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1870, -4969, -10094, -17209, -26278?\nAnswer: -37265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:43 AM and 12:19 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 + 9*c**2 - 10*c - 2. Let q be o(-7). Let w = 32 + q. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -271 + 136. Let q = 135.142 + k. Let l = -0.082 + q. Round l to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 6*n + 2. Let x be t(-3). Let u be (1 + 2)\/((-12)\/x). Suppose 0*d = u*d - 1876. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3 + 11.8. Let l = 26 - 15. Let h = l - q. What is the nearest to -1 in h, 2\/7, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of 0*j**4 + 0*j**5 + 0*j**6 + 1\/6*j**3 + 3*j + 0 + 0*j**2 - 2\/21*j**7. Find the second derivative of c(a) wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -34 + 50. Let w = 1569 + -3139\/2. What is the third smallest value in p, w, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 3955926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131307559?\nAnswer: 79, 1662121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34725.\nAnswer: 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(220)*-3)\/sqrt(4) + 1*sqrt(2695))\/(((sqrt(220) - (sqrt(220)*1 - sqrt(220)) - sqrt(220)) + sqrt(55))\/(sqrt(44)\/(sqrt(4) - sqrt(36)))) + 0.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/((3\/5)\/(-3)). Suppose m*y = 14*y - 16. Suppose 5*n = y*t - 1018, -t + 4*t - 754 = -n. Calculate the greatest common factor of 28 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.81 - 0.81. Let s = 3672 - 3673. Which is the second smallest value?  (a) -1\/4  (b) 6  (c) o  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (189\/(-9))\/21*63\/(-9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -2 - (-9 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (8\/24 - (-1 - -1))*174. Let p = 71 - y. Solve -4*s - 5*c = -25, 2*c + c = -2*s + p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/37?  (a) -0.2  (b) -0.02  (c) -4  (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 9, c: 1, w: 2, j: 2}. Give prob of sequence bwj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 = -2*v - 2*g + 19, -5*g = 5. Which is smaller: 74 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32?  (a) -2  (b) -5  (c) -1  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**4 + 23*u - 106 - 135 - u + 2*u - 20*u**2 + 263 - 24*u**3.\nAnswer: -2*(u - 1)*(u + 1)**2*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104953 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 0*o - o + 0 = 6, j - 130 = -4*j + 5*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(48)\/(sqrt(6) - (sqrt(6) + (sqrt(60) - (sqrt(60) + sqrt(6000) + sqrt(60)))\/sqrt(10) + sqrt(6) - sqrt(6))) + -2*-4*sqrt(648))**2 + 5.\nAnswer: 5031397\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 25426 + 2?\nAnswer: 25428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 300\/(-60)*(-1 - (1 - -355)).\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 853 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2*w + 4423, -5*w = -12*k + 9*k - 11057. What are the prime factors of w?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 44, 31, 16, -1, -20?\n\"Answer: -d**2 - 10*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3099652, 3099734, 3099878, 3100090, 3100376, 3100742, 3101194, 3101738?\nAnswer: 3102380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-75)\/(-9))\/(((-6630)\/153)\/(-26))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(4\/3)*y**(3\/4))\/(y**(-1))**(-2\/13))\/(y**(-2\/9)\/(y*y**(-6)))**(-4\/7) assuming y is positive.\nAnswer: y**(15265\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1040 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 139992 divided by 19\nAnswer: 7368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2135425.36 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 340*g. Let y(k) = -k**2. What is y(t(o))?\nAnswer: -115600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 187243*p**5 + 692*p**2 - 44039023*p - 3 wrt p?\nAnswer: 3744860*p**3 + 1384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 = -r - 69. Let w(s) = -29 - 27 + r + 6*s. Let a(t) = 5*t. Give a(w(i)).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*r - 29*r**3 - 6*r - 15 + 11 + 0*r as h*r**2 + m*r**3 + g*r + a and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*s + 3405 = -2795. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -2. Let c(l) = -l + 4. Let x be c(d). Suppose m - x*m = -858. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-2 + sqrt(612) + -1 + sqrt(612) + sqrt(612)*2 + -3 - (2 + sqrt(612) + (sqrt(612) - (sqrt(612) + 0)) + -5))**2 + -1.\nAnswer: -108*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of -1\/660*t**6 + 0*t + 0*t**4 + 0 - 1\/385*t**7 + 1\/110*t**5 - 59*t**2 + 1\/1848*t**8 + 0*t**3. Solve r(x) = 0 for x.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1994 minus 28?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**2*w**2 - 3964*a**2*w + 270*a*w**2 - 4*a*w + a + 17*w**2 wrt w.\nAnswer: 4*a**2 + 540*a + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 - 4*s**2 + 556*s - 2791. What is q(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - -50?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -5*q + 375, -n - 192 = -3*n - 4*q. Suppose -g = 3*s + 14 + 149, 5*s + 249 = 4*g. Let y = n + s. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 922.6545g to nanograms.\nAnswer: 922654500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 193201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -360\/23 - -29926\/1909. Which is the third biggest value?  (a) h  (b) 52  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4.4 in 2, 1, -2, -10\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 39*v**3 - v**2 - 148*v. Let r(k) = -k. Let i(b) = q(b) + 6*r(b). What is the second derivative of i(u) wrt u?\nAnswer: 234*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 794, 3097, 6936, 12311?\n\"Answer: 768*f**2 - f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 258 + -267. Are -48\/5 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**4\/6 - 4*z**3\/3 - 19*z**2\/6 - 2*z = 0. Calculate z.\nAnswer: -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1526 + -7694\/5. Is -12 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7376325 and 1375?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 192 + -63. Let c = 114 - p. Let r be c\/10*(1 + -2 - 1). Solve 0 = -d, d + 10 - 1 = -r*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28 and 4256.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*x + 3. Suppose -2489*r + 10 = -2479*r. Suppose k = x + r. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4299483 divided by -51801?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 673 - 597. Calculate the remainder when p is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/6, 4, -3\/8, -130, -2, -0.4, 2\/7?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -553 + 833. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3*m + 20 = 0. Let f(i) = 2*i - 16. Let u be f(m). Let v be (-4)\/u*-3*(5 - -1). Which is the biggest value?  (a) v  (b) 0.4  (c) -0.4  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((-14)\/(-95)) + 25*(-84)\/4900\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 540 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*s**2 + 32*s**2 - s**3 - 13*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m - 4*m + m + (1 - 1 - 1)*(-5*m - m + 0*m) + (16 + 48 - 19)*(-4 + 4 + m).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of -4*a**5\/95 + 3*a**4\/38 - 2*a**3\/57 + 2. Suppose c(h) = 0. What is h?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 200341, 400683, 601025, 801367, 1001709, 1202051?\n\"Answer: 200342*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16189853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 2304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/(-48)*(-196)\/(-70))\/((-2)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -20*((-360)\/32 + 2\/2). Calculate the highest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4728401453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 20*a + 32. Let p(g) be the first derivative of -7*g**2\/2 - 11*g + 1873. What is 11*p(l) + 4*s(l)?\nAnswer: 3*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5 and 21514848889005.\nAnswer: 21514848889010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 34807618 + -18051493. Suppose 4*p = -3440125 + q. Round p to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.05 - -0.45. Let q = -66 + 65. Let a = 206.1 + -206. What is the closest to q in o, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1146560 + 2528649. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 7*s - 10. Let n be i(4). Suppose -t + 5*j + 4 = 14, 0 = -4*t - j + n. Suppose 3*k + 12 = t, -a + 235 + 4 = k. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 84980 and 8498?\nAnswer: 84980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.334448 rounded to one decimal place?\nAnswer: 63.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -102120233 (base 4) to base 14\nAnswer: -1d635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-3) + (-2183)\/111 + 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 17\/1)\/1. Let p(n) = -n**3 - n**2 - n - 1. Calculate the remainder when ((-9)\/6)\/(3\/m) is divided by p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 17*m - 5. Calculate d(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/8)\/15 - (71\/28 - 2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 16 + 2*l - l + l**2 - 2. Let t be b(6). Let q = t - 22. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 - 7*l + 6. Give j(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 76 - 68. Let z(w) = -3*w**2 + 21*w - f*w - 13*w. Let c(d) = -3*d. Let x(a) = -4*a. Let h(g) = -5*c(g) + 3*x(g). Calculate h(z(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1*(sqrt(7) + 0)**2 + 2) + 4 + (sqrt(847) - (2*sqrt(847) + -3))**2.\nAnswer: -66*sqrt(7) + 815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.37 times 21389527?\nAnswer: -7914124.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -6036.9 + 0.6243\nAnswer: -6036.2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 102500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 3*b + 35, a - b = -2*b + 7. Let l = 9 - a. Put -3, -5, l in increasing order.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 13630885.\nAnswer: 6\/13630885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 4 + 6. Let r be -6*(-16)\/24 - (139 - 138). Solve -r*a - 16 = 2*t, -4*t - a - 4 = -b*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2111 - -440?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**2 + 44*d - 44*d + 2*d**2 - 2 to i*d + r*d**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of 5*y**3\/3 + 93. Suppose 5 - 1 = 2*g. Let d(v) = v**g + 39 - 39. What is d(n(u))?\nAnswer: 25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 f when three letters picked without replacement from kiiikfiiiffffiik?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 88 + -73. Solve -4*z + c = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**(-2\/3)\/s*s)*s*s)**(12\/11)*s\/s**(-2)*s*s**(-2)*(s\/(((s*s**1)\/s)\/s))**(3\/8)*(s**1*s)**(-47) assuming s is positive.\nAnswer: s**(-7807\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -4*o**2. Let j(c) = -16541*c. Calculate j(a(i)).\nAnswer: 66164*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7761.546um to meters.\nAnswer: 0.007761546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r. Suppose -6*v + 12 = 4*i - 8*v, 4*i - 12 = -4*v. Let t(m) = 7444 - i*m**2 + 11*m - 7444. Calculate p(t(l)).\nAnswer: -3*l**2 + 11*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2285 a factor of 112732760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108 = 4*s + f, -2*f + f = -s - 27. Let a(b) = -b**3 - 26*b**2 + 28*b + 46. Calculate the remainder when 30 is divided by a(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 4.07, -5, -0.6, -4 in descending order.\nAnswer: 4.07, 0.2, -0.6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*a = -12*a + 14*a + 40110. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2250*f + 96 = 2234*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -70*u + 486. Give v(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 33, 79, 145, 231, 337, 463?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2162\/10 - (-1)\/(-5). Suppose 0 = -2*r - 5*k - j + 40, -4*r - 372 = 5*k. Is r\/(-4)*(-2)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -98 + 32. Let l be (-6 + s\/(-8))\/((-18)\/(-480)). Calculate the highest common divisor of l and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1 + -2 - 1638\/(-624) and (-2)\/(-7) - 214\/308.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 3)*(7*b**2 - 3 + 3) + 2*b**2 - 2*b**2 + 2*b**2.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from bbbbybtbbtwbbbbtyby.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let s be (-714)\/(-441) + 16\/(-12). Factor -s*n**3 - 4\/7 - 6\/7*n**2 + 10\/7*n + 2\/7*n**4.\nAnswer: 2*(n - 1)**3*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6822076097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 131695 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1008)*-2 - sqrt(28)) + sqrt(448)*-2 + 1*sqrt(196)\/(4*sqrt(7)*2))**2.\nAnswer: 195223\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + 3 + (1881\/44)\/(-9). Which is the nearest to y?  (a) 4  (b) 0.4  (c) 0.3  (d) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 25101 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-1\/5))**1\/((d\/d**(2\/35))\/d*d*d*d\/(d*d**(-2\/61))) assuming d is positive.\nAnswer: d**(-502\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.1 + -6.3. Put 2\/7, 2\/11, 35, t in decreasing order.\nAnswer: 35, 2\/7, 2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 12:17 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 - 8*o**2 - o - 3. What is t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 3*b**2. Let s(u) = -722325*u**2. Determine s(o(q)).\nAnswer: -6500925*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -88 (base 12) in base 8?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7113, 11322, 12631, 11040, 6549, -842?\n\"Answer: -1450*m**2 + 8559*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/((-5)\/2)*44. Let o be -1 + 7\/(7\/v). Suppose o = 2*w + 21. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20.16 + 20. Which is greater: 0.2 or s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/3)\/(4\/(-30)). Let q(k) be the first derivative of 1\/3*k**3 + 3*k + 2 - w*k**2. What is q(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 0.4  (c) -27  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 37 * 5\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*r - 71*r = 2600 + 4591 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18767323.\nAnswer: 269, 69767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 228 is divided by 44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.5, 1\/8, -2\/13, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 18*j**2 - 49*j + 174. What is i(20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4151*o - 5613*o - 6405*o + 13.\nAnswer: -16169*o + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 less than 0.0558?\nAnswer: -0.2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 5*w - 34, -2*j + 6*j - 5*w = 37. Solve -8*d + j*d = 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 14393399 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41533 and 861?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qddd when four letters picked without replacement from dqdqqqdqqd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 242, 232, 230, 242, 274?\n\"Answer: b**3 - 2*b**2 - 11*b + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 124971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 99*w - 786. Determine k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*d**3 + 7*d**3 + 6*d**3)*(3*d + 0*d + 0*d).\nAnswer: 60*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 7*o**2 + 4. Give t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -11*1*(5150\/100)\/(-103)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2 = 4, -4 = -4*k - 2*v. Let h(r) = 2*r - k + 4 + 33*r**2 - 34*r**2 + 0. Determine h(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -956, -958, -950, -926, -880?\n\"Answer: u**3 - u**2 - 6*u - 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15031231043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -592\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -p**3*v - 44*p**3 - 317*p**2*v**3 + 86*p wrt v?\nAnswer: -p**3 - 951*p**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.1 - 2. Let s = 4\/909 + 2695\/7272. What is the nearest to w in s, 0.4, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1872)*2*1 + 3 + 3*(sqrt(1872) + 0))**2.\nAnswer: 504*sqrt(13) + 91737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4691 = -2043*c - 13696 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 1225623*u**5\/5 - 3*u**4\/5 - 1225623*u**3\/5 + 3*u**2\/5 = 0.\nAnswer: -1, 0, 1\/408541, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -338 + 614. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 3. Let n(c) = -c + 3. What is -3*j(w) + 2*n(w)?\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24\/(-84) - (-4246)\/14 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12*36\/81)\/4\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 7. Suppose 2*l**4 - 2*l**3 - f*l**3 + 3*l**3 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 480 and 864.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2690 and 12?\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*x = -2*t - 248, -124*t = -256*t + 132*t + 4*x - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.6954587 and -3.\nAnswer: -5.0863761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ntyfiyv. What is prob of picking 1 i and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*d - 5*d - 8*d**3)*(-180*d - d**2 + 331*d - 91*d).\nAnswer: 8*d**5 - 480*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (10 + -1)*(-12)\/(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 2*x = -b + 7, 0 = -5*b - x + 16. Suppose 3*y = 3, b = -2*g - 5*y + 10. Suppose -7 = 5*m + 3. Sort g, 4, m.\nAnswer: m, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/9 + (-992)\/(-24). Let o be 14\/x + (-10)\/(-6). What is the greatest common factor of 38 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11021418 is divided by 270.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*t = 139*t - 369 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1518 (base 10) to base 3\nAnswer: 2002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 555*o + 2295*o**2 + 551*o - 936*o**2 + 552*o - 1657*o to s*o + c + d*o**2 and give d.\nAnswer: 1359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*s - 50*s - 2*s)*(-5*s + 4*s + 0*s).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -56*i**2 + 10*i**2 + 9*i**2 + (3*i**2 - 5*i**2 + i**2)*(0 + 1 - 2) + 0*i + 0*i + i**2 - 2*i**2 + 3 - 3 - 2*i**2 - 3*i**2 + 3*i**2.\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from fwsmifsiii?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 783.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -3*i + 2*h + h, -3*i - 2*h = -1. Let b = -5 - i. Let w = b - -6. Solve -w*u - 20 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 4 + (4 - 4 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 337160819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 14*m**3 - 536*m**2 - 1079*m - 14. Give j(-2).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 PM and 12:02 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3287817 and 217726548?\nAnswer: 1959538932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005213 rounded to 7 decimal places?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 + 27*c**2 + c - 24. Let p be z(27). Suppose 3*r + 3*s + 2*s + 13 = 0, -p = 3*r + 3*s. Let g(l) = -2*l + 9. What is g(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*w**2 - 160*w - 465 = 0 for w.\nAnswer: -31\/21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5\/167 - -281\/7348. Find the common denominator of -18 + (1800\/32)\/25 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 24*i**3 + 5*i**2 - 8*i + 13. What are the prime factors of f(3)?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -10. Let s = 18.7 - 19. Which is the closest to l?  (a) s  (b) 0.4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*o**2 + 1 - 2*o**2 - 1 in the form i*o + p*o**2 + b and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/((-3)\/42*2). Suppose -30 = 3*x - 21. Let o be ((-12)\/(-3) - 5)*x. Sort 0, o, c in increasing order.\nAnswer: c, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 1:18 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 544.594ml in litres?\nAnswer: 0.544594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4664, -18652, -41952, -74558, -116464, -167664?\n\"Answer: i**3 - 4662*i**2 - 9*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 21*w**2 - 704*w - 72. What is t(-39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 3*a = -11, 5*l + 4*a + 11 = -25. Let b(s) = s**2 - s + 19. Let w be b(l). What is w rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 j when three letters picked without replacement from {k: 1, l: 1, x: 3, j: 9}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -10127*v**4 - v**3 + 10120*v**4 - 63*v + 7*v**3 in the form l*v**3 + f*v + j + b*v**4 + c*v**2 and give f.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4379 is divided by -1 + 4 - (-306)\/(-306).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.3  (b) 1\/4  (c) -1295  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -41735 (base 8) to base 7\nAnswer: -101436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 13, 0, -44 in descending order.\nAnswer: 13, 0, -2\/5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20960 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q - 13. Let v(s) = 3*s - 8. Let z be v(4). Let j be (z\/(-5))\/((-6)\/30). Suppose 4*c - 8 = 0, 3*u = -0*u + j*c + 13. Calculate l(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b - 5 - 13 = 0. Suppose b*x - 2*w - 4 = 0, 5*w - 1 - 1 = -x. Solve 3*g + 2 = x*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1414 + 5?\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-428)\/(-8) + 3\/2. Suppose 5*n = p + 19, 4*p = -4*n - 11 + c. Solve -p*m + q = -4*m, 4*m = -5*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y - 5*y + y**2)*(-4*y + 7*y - 4*y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 7 - 11 - 2*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*b - 5*b - 2*b**2)*(-3*b**2 - 2*b**2 + 3*b**2) - 77 + 81*b**4 + 77 to the form o*b**3 + f*b + t*b**4 + p*b**2 + q and give t.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -12*(-2 - (-8)\/3). Let d be -3*15\/(-9) + (-168)\/21. Let q be -1 - 407\/c - d\/24. Calculate the greatest common factor of q and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l\/(l\/l**(-2)*l)))**(9\/7))**(3\/2) assuming l is positive.\nAnswer: l**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 83041\/44 + -7547\/4. Let f(h) = -h**3 - 3*h**2 - 16. Let g be f(-4). Solve g - 2\/11*o**3 - n*o - 8\/11*o**2 = 0 for o.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23575407 and 3657?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18.09 + 0.01. Let m = x + -18. Let z = 0.1 - 0.9. Which is greater: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295366 is divided by 6283?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5659.806ml?\nAnswer: 5.659806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 6942873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 1 + (2 - 3) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 268973504 and 606?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1802 and 210993?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/321673328 and 117\/2466820.\nAnswer: 1608366640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 240\/24853?\nAnswer: 240\/24853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t - h = -5, -24 = -2577*t + 2582*t - 3*h + h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 59775 and 7970.\nAnswer: 119550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1025891083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002814 rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 145095647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 3:21 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/2)\/((-6)\/48). Calculate the common denominator of 118\/z + 8\/(-12) and ((-108)\/(-40))\/(2\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2747894?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 6*l - 28. Suppose 2*h - 82 = 4*h. Let q = -32 - h. What is the lowest common multiple of q and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-3 + -1) - -4 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -9*c + 7. Determine o(-9).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u = u - 77. Suppose 2*x = -2*b + u*b - 80, 5*b + 70 = -x. Put x, 1, -4 in ascending order.\nAnswer: x, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*s + 36*s = 76*s - 218 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 + 26*d - 193. What is q(19)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**3\/13 + 112*s**2\/13 + 350*s\/13 + 236\/13 = 0. What is s?\nAnswer: -2, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 10*m - 5*m + 6 = 0, -9 = -2*g + m. Suppose 244 = g*v + v. List the prime factors of v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -109, -236, -381, -544?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -36*k**3*t + 2*k**3 - 4*k**2*t + 296*k**2 wrt t.\nAnswer: -36*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-2)*v)\/v)**(-3)\/(v\/(v**(-3\/5)*v)*v**(-7)))\/(v**(1\/5)*v*v*v**10)**38 assuming v is positive.\nAnswer: v**(-2256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 354*k - 4303*k**2 + 348*k - 702*k.\nAnswer: -4303*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (10 + (6 - 19)) - (1 + 30)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + (1*-2)\/(-1). Let q be (-5 + 2)*4\/8. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39628397?\nAnswer: 163, 243119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyeyjjdjyyyjjjjdy. Give prob of picking 1 d and 3 y.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11927 - -11918. Let f(m) = 7*m + 36. What is f(o)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 414 is divided by 54.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -10*x**2 + 2. Let c(l) = 9*l**2. Determine c(u(h)).\nAnswer: 900*h**4 - 360*h**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 5*d**2. Let u(b) = 3*b**2 - b. Let g be u(-2). Let k(h) = 3*h - 2*h + g - 14. What is k(l(z))?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1246, 1328, 1470, 1678, 1958, 2316, 2758?\n\"Answer: y**3 + 24*y**2 + 3*y + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*r + 0*r + 0*r**3 + 8*r**3 - 4*r wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/2 or -196?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 71\/389 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3844720 is divided by 1357?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 468954.\nAnswer: 2, 3, 26053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -3217 (base 10) in base 13?\nAnswer: -1606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -202 + 2295329*m**4 - 2291862*m**4 - 940 - 352 wrt m.\nAnswer: 13868*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 + 103*y**2 - 197*y - 501. Determine a(101).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8097 + -896?\nAnswer: 7201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Is 55166 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/((-10)\/(-6)) - -10. Let a(r) = 0*r**3 - 6 - 6*r**2 + 2 - 5*r + r**3. List the prime factors of a(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -61*y + 21. Suppose -t = -2*a, 2*a + 3*t = -3*a - 22. Is 5 a factor of v(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {l: 3, g: 5, j: 1, d: 4}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.24397 millennia to decades.\nAnswer: 6424.397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152 = -3*g + 5*v - 0*v, 5*v = g - 64. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1*((-165)\/15 + 9 + 3))\/(17\/1360)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b + 1. Let c(r) = 36*r + 3. Let k(w) = c(w) + 6*g(w). Is k(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 10093, 10.\nAnswer: -0.4, 10, 10093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) - (-4*sqrt(153)*2 - sqrt(153)) - sqrt(153))*5)\/(sqrt(9)*-1*2 + sqrt(27)\/sqrt(3)*6).\nAnswer: 45*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39 and 226759.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -122, 320376, 2.\nAnswer: -122, 2, 320376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 3 = 3*f - 90, 0 = 5*f + 2*c - 126. Calculate the least common multiple of 12 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 12 = 6. Suppose -3*w - 2*s + 555011 = 0, 2*w + s + k*s = 369999. Suppose w = 2*c + 1425007. Round c to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1068633, -2137549, -3206465, -4275381, -5344297, -6413213?\n\"Answer: -1068916*v + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -601 + 26?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1338597, 2677194, 4015791, 5354388?\nAnswer: 6692985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16\/(-28) + (60\/35)\/(-4). Which is the nearest to 11?  (a) 0.3  (b) 2\/11  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**2 + 430*a**3 + 325*a**3 - 804*a**3.\nAnswer: -49*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fif when three letters picked without replacement from {u: 1, f: 6, i: 10}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17 (base 8) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - -15890624?\nAnswer: 15890621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/10, -3.5, -2\/13, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 69988.5 rounded to the nearest 100?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -0.187  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, y: 4, d: 2}. What is prob of sequence pyd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 42371686 to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 PM and 11:46 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.037299 to 4 dps.\nAnswer: -0.0373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**2 + 4*k**2 - k**2 + (1 + 4 - 2)*(58 - 58 - 8*k**2))*(-3*k + 3*k + k).\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4002 and 69147.\nAnswer: 65145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -892 + 894 - 23*a + 84*a.\nAnswer: 61*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29 - -20. Let c = u - -7.7. Let n = c + 1. Sort 0.4, 5, n.\nAnswer: n, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -25, -32, -39, -46, -53?\n\"Answer: -7*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 49054 + 18b?\nAnswer: 49223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-55)\/44)\/((-155)\/(-4))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + 5*h**2 + 12*h - 33. Give p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 9 = -5*s, 26 = -203*z + 208*z - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*g**2 + 1235*g + 490.\nAnswer: 5*(g + 49)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 70 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*p - 14*p**3 + 14 - 14*p**3 - 34 - 3*p**4 + p wrt p?\nAnswer: -36*p**2 - 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102203 (base 4) in base 5?\nAnswer: 14222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -897420600 rounded to the nearest one hundred thousand?\nAnswer: -897400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(931) + (sqrt(931)*-4 - sqrt(931)) + 4)**2 + sqrt(475)*1*1 + 4.\nAnswer: -219*sqrt(19) + 14916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13*396\/572*(-6)\/252.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -1. Suppose -5*j = -x*j + l - 13, -j + 17 = 5*l. Solve -a - j*a = 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 - d + 1128. What is the remainder when 944 is divided by b(31)?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 54357444?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -23330100121 (base 4) in base 2?\nAnswer: -1011111100010000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.05, 11, -16 in descending order.\nAnswer: 11, 0.05, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 171?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, n: 4, v: 1, j: 2, e: 7, a: 1}. Give prob of sequence ajr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000032109991 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 5*j**2 + 11. Let n(l) = -2*l**3 - 3*l**2 + 3. Let s(g) = g**3 + 1. Let c(k) = n(k) + 3*s(k). Give 5*c(b) - 3*m(b).\nAnswer: 2*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*f + 25*f = 3*g + 4, 0 = -g - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 117594048 by 88.\nAnswer: 1336296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.15 times -0.04?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 3*f**3 + 594*f**2 + 38115*f + 782628 = 0.\nAnswer: -77, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + -40a5?\nAnswer: -40a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.6 + 1. Let l = s - -0.1. Let z = 176 - 175. Sort l, -6, z in decreasing order.\nAnswer: z, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 41*h**4 + 101926*h**3 - 14312446*h**2 wrt h?\nAnswer: 984*h + 611556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 42.4288?\nAnswer: 4.24288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -283 + 501. Suppose w = 5*m + v - 12, -2*m + 114 = -4*v. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9128607 is divided by 3634.\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 22 = -5*n + 8*n, 1 = u - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 297*f**2 - 871*f**2 - 2 + 344*f**2.\nAnswer: -230*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 + (-72)\/(-48))*254\/1. Calculate the greatest common divisor of a and 12319.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52463 is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z*z\/(z\/z**1)*z))\/z)\/((z\/z**28)\/z)*z*z**(-20)*z**(3\/7)*z assuming z is positive.\nAnswer: z**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 PM and 6:12 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**4 + 2205*u**3 + 404064*u**2 - 406272*u.\nAnswer: 3*u*(u - 1)*(u + 368)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 - 3*h - 3. Suppose 0 = r + r + 2, -4*r - 4 = -q. Suppose 2*g = 4*k + 18, -4*k - 3*g + q = -7. Is 3 a factor of d(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -47, 2, -5, -1, 6\/17 in descending order.\nAnswer: 2, 6\/17, -1, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 11:40 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000110100010011 (base 2) to base 11.\nAnswer: 25152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3*d - 64 = 0, 14 - 60 = -2*l - 5*d. Suppose -3*r + 1 = l. Which is the second biggest value?  (a) r  (b) 4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p + 2*p - 2*p + (6 - 3 + 1)*(-p + 3*p - 3*p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 358846253.0000158 + -358846182. Let n = 3.5 - 74.5. Let f = y + n. What is f rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 3:02 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*o + 2136 - 2482 = 34*o + 3190 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -216, -750, -1790, -3504, -6060, -9626, -14370?\nAnswer: -20460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -160.906156185 and -0.02.\nAnswer: -160.926156185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t**3 + t**4 + 2*t**3)*(1 + 2 - 5) - 2*t + 3*t**4 + 2*t + (-6*t - 2*t + 4*t)*(t**3 - t**2 + t**2) to b*t**2 + k*t + a + l*t**3 + f*t**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-60)*5)\/((-15)\/5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31916091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 8, y: 4, m: 2}. Give prob of picking 1 r and 2 y.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 83059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*i = -49*i - 2*r - 48, -3*i = r + 72. Put -5, i, 0, -3 in decreasing order.\nAnswer: 0, -3, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 5*c**2 - c - 2. Let x be f(2). Suppose 2*m - x - 274 = 0. Suppose 5*v = 805 - m. What is the greatest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + g + 3 = 0, 3*d - 9 = 202*g - 199*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99*u**2 + 4*u - 318 - 4*u + 317.\nAnswer: -99*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -70 + 71. Suppose 7 = 2*s + 3. Suppose 0 = 7*h - s - 12. Solve 3*a + 3 + h = -r, c = r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of 5*m**3\/6 - 7*m**2\/2 + 253*m. What is c(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2497, 2480, 2457, 2428, 2393?\nAnswer: 2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/((sqrt(2) - sqrt(18)) + sqrt(2)) + (2*sqrt(3) + sqrt(3))*3)**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 176037 (base 9) to base 6.\nAnswer: 2202224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + h = 3333 - 668, -4*d + 5300 = -4*h. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 893 a factor of 329517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 71*p**6*z**2 + 6*p**3*z**3 + 26*p**2*z**3 - 2*p**2 + 7*z**3 wrt p.\nAnswer: 8520*p**3*z**2 + 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j**3 - 3*j**2 + 3*j - 3. Let u(k) = -k**3 - 1. Let x be u(-1). Suppose -m - 10 + 12 = x. What is the units digit of o(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/86 and 55\/28592?\nAnswer: 1229456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5796708781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12010?\nAnswer: 2, 5, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -8. Suppose 2*w - 1 = p, j*w + 5*p + 5 + 0 = 0. Suppose 0*t - 3*t + 0*t = 0. Solve -5*d - 5*f - 1 - 9 = t, w = 2*d - 2*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 0.109  (c) -2  (d) -0.5  (e) 5  (f) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) -0.69  (c) -2\/19  (d) -2  (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*(-10)\/(-315) + 200\/105. Factor -4*l + 5*l**2 - 23*l**2 + 6*l**2 + 11*l**m.\nAnswer: -l*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(38)\/sqrt(2))**2 + (sqrt(19) - ((0 + sqrt(19))**2 + sqrt(19)))*-4.\nAnswer: 10*sqrt(19) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0 and -1488878917?\nAnswer: 1488878917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**2 + 8*h + 2. Let u = -1 + 3. Let t(y) = u - y**2 + 6*y + y - 3*y**2 + 3*y**2. Let v(n) = -3*q(n) + 4*t(n). Factor v(b).\nAnswer: 2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) -2\/11  (c) 552  (d) 0.2  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1494 and 94582206?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = -15*v + 31*v. Let o(w) be the second derivative of 4\/15*w**v + 0 + 1\/30*w**4 + 4\/5*w**2 - 6*w. Let o(x) = 0. What is x?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(210)*-1*-1)\/sqrt(7))\/(-2*(sqrt(24) + sqrt(6))*3) + 1)*-2.\nAnswer: -2 + sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 9 + -12 - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3310*s - 45456. Calculate o(14).\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 6*f**2 + 9*f - 15. Suppose -2*r - 9 + 19 = 0. Let j be d(r). Solve 4*x + 3*g + 15 = x, -g = -j*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5599804 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -t - 4*t + 4, -2*m + t = -2. Solve -10 = -m*i - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 2*u - 66, -3*a - 111 = -48*u + 45*u. Calculate the greatest common factor of u and 3615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3589*a + 297768 - 103962 = 0 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 13) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55666*y + 101506*y + 112537*y.\nAnswer: 158377*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -99*u**3 - 61*u**2 - 5*u - 5. Let s(w) = -49*w**3 - 30*w**2 - 2*w - 2. Let l(o) = -5*s(o) + 2*v(o). What is the third derivative of l(g) wrt g?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/8  (b) -0.5  (c) 3\/5  (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 - -62. Suppose -4*y + l = -2*y + 5*x, 3*y + 5*x = 80. What is the third derivative of -11*z**2 - 12*z**5 - y*z**5 + 2*z**5 wrt z?\nAnswer: -2400*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22193, -21847, -21395, -20837, -20173?\nAnswer: -19403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 3*q + 17 = 0, 5*r + 7*q - 3*q = 24. Let k be -14 + 14 + (5 - 6\/3). Solve -3*w - 15 = 3*a, -r*a - 10 = -4*w + k*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r - 170 = -r. Let t = 68 - r. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2101 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -1. Let o = -3043.0004 - -3044. Let i = f - o. What is i rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6543151877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that m**5\/6 + 13*m**4\/6 - 109*m**3\/6 + 119*m**2\/6 + 70*m - 114 = 0.\nAnswer: -19, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3162536006 + 3?\nAnswer: 3162536012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -79, -161, -243, -325?\n\"Answer: -82*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 471 by 1535.\nAnswer: 471\/1535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (21\/((-567)\/(-18)))\/(26\/(-18))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 710 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 200 - 191. Let x(i) = 17*i**2 + i - 8. Let m(k) = 4*k**2 - 2. Let c(o) = g*m(o) - 2*x(o). Determine c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/43  (b) 1  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 + 5*t + 10. Let a be p(-3). Suppose -a*m = 5*v - 77, 7*m - 86 = 3*m - 2*v. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1362548 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 26816*s - 150. Let h(u) = 29216032*u - 163410. What is -5*h(z) + 5447*i(z)?\nAnswer: -13408*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.01 + 0.31. Let z = -0.3 + p. Let n = -0.1 - z. Which is the closest to n?  (a) 0  (b) 0.1  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 547 a factor of 52538542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50 - 46. Let o be 38*((-36)\/(-8) - s). Is o less than or equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -18. Suppose -o - 3*t = -0 - 6, -5*o = -t + 2. Solve -s + 1 - v = o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (30060\/(-72))\/((-10)\/16) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - g - 22 = 0, l + 2 = -2*l + 5*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3.757 times 0.043\nAnswer: -0.161551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r - 8. Determine b(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.4 + -2.4. Let m = -2 - -5. What is the closest to m in y, -2\/5, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/6, -1, -8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g**2 + 10*g**2 - 2*g**2 + 3*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 34.81 - 34.3. Let r = -1.39 - u. Round r to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -189*i. Let l(f) = -122285*f. Give 1295*k(x) - 2*l(x).\nAnswer: -185*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 32322?\nAnswer: 32315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -14686*d + 190926. What is n(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1323595736 by -4.\nAnswer: 330898934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*j**3*r**3 - 1426094*j**3*r + 39142860*j**2*r**3 wrt j?\nAnswer: -12*r**3 - 8556564*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 208 (base 9) to base 7.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15676*a = -4947*a - 61672 - 142179 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**4 - 60*t**3 + 105*t**2 - 50*t.\nAnswer: 5*t*(t - 10)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 3 - 5 = 0. Let n be -1*o\/2 - -4. Let y = -10 - -14. Which is greater: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 36491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 58 - 58.2. Suppose 5*h + 176 = 3*l, -3*l = 5*h + 141 + 53. Which is the third biggest value?  (a) 0  (b) h  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(((-4)\/10)\/(-1)). Let i be ((-4)\/(-10))\/((-6)\/k). Suppose 1\/3*o**3 + 0*o + i*o**2 - 1\/3*o**4 - 1\/3*o**5 + 0 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.4 - 0.9. Let d = 345 + -347. What is the nearest to d in r, 1\/3, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 4*v + 51 = 79, 0 = 15*x + 5*v - 85 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.030635 less than -8.38?\nAnswer: -8.349365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 174*n**3 + 81*n**4 - 3*n**5 - 4207287*n + 4207287*n.\nAnswer: -3*n**3*(n - 29)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13\/2 + -19\/3. Which is the second biggest value?  (a) 0.5  (b) s  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 2*a = -11, a - 9 = -3*i + 4*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1240.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 5*z**2 + 67*z + 184409. Is r(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1710 + -30779\/18. What is the second biggest value in -0.2, -0.3, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-612)\/8*-1)\/(1\/(-2)). Which is the second smallest value?  (a) 3  (b) -4  (c) y  (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((535\/321)\/(3\/(54\/(-15)))*1)\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*o - 5*b - 29 + 10, 3*b = -o - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -49800 to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/(945\/(-1872))*5\/(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 2)*(2 + 0 + 1)*(-h - 1 + 1)*(-16 + 89 + 97).\nAnswer: 2550*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/102 and -8\/15.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 45*g**5 + 498410*g**4 + 1384185*g**3 + 664360*g**2 - 221460*g = 0. What is g?\nAnswer: -11073, -2, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -145 divided by 7?\nAnswer: -145\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of 0*h**4 + 0*h**2 + 0*h**5 + 2*h**6 + 10 - 4\/3*h**3 + 0*h. Find the third derivative of w(s) wrt s.\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -2749168.\nAnswer: -2749168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/1 - (1 + -1). Let i be (8\/64)\/(c\/(-2)). What is the second smallest value in 0.3, 5, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5*b = -2*k + 1, -3 = -3*k - 3*b. Solve -m = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 378*s**2 + 1471*s + 9477. Give a(374).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = 11*f + 32. Suppose -2*h + 6 = 0, 3*y - 57173 = -2*y + f*h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81 times -1311?\nAnswer: 106191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {t: 1, e: 1, x: 3, i: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 93095 - 93036.017. What is v rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6523 is divided by 1297.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 10*d + 11. Let t be q(9). Let g(s) be the first derivative of -s - 5*s**2 + 3*s**2 - s - 1. Let b(z) = z**2 + z. Determine t*b(n) + g(n).\nAnswer: 2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/130 and -39\/13487746.\nAnswer: 876703490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*c = -16*c - 4*z + 14, 7*z + 4 = -4*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 10) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d = -20*d + 8. Differentiate -39*m**2 + 68*m**d - 32*m**2 - 34 wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 + 10*n - 21. Let m be r(-12). Suppose -3*c + 570 = -2*v - m*v, 950 = 5*c - 3*v. Calculate the greatest common divisor of 114 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25*a**2*i**2 + 69*a**2*i - 79*a*i**2 - a*i - 49*i**2 wrt a?\nAnswer: -50*i**2 + 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -1. Let w be (-6 + 7)*1\/(-1). Let d(x) = 3*x**2 - 5*x + 13. Let v(i) = i**2 - 2*i + 4. Let c(y) = 4*d(y) - 11*v(y). What is w*c(h) - 6*r(h)?\nAnswer: -h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15440 + 15438.1778. Round j to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 + (-15)\/(-9))*165\/110. Which is the closest to f?  (a) -4\/7  (b) -2\/5  (c) 41  (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (78\/507)\/(378\/(-78)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 121 + -115. Let c(l) be the first derivative of 10 + 0*l**2 + 0*l**3 - 5\/4*l**4 + 0*l. Let u(h) = -h**3. Give z*u(p) - c(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, 2\/3, -3, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 6*h**2 - 3*h + 4. Let r = 2 - -7. Suppose 12 = -2*p - k, -k + 15 + r = -4*p. Is b(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (470\/282*1\/(-5))\/6.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1472962 (base 10) in base 2?\nAnswer: 101100111100111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 2434?\nAnswer: 7302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7425.547 meters to centimeters.\nAnswer: 742554.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000037927 to seven dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of 5*k**8\/168 + k**7\/6 + 3*k**6\/8 + 5*k**5\/12 + 5*k**4\/24 + 382*k**2. Suppose n(t) = 0. Calculate t.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 AM and 10:08 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/7*l**4 + 62\/7*l**2 - 40\/7*l + 0 - 23\/7*l**3.\nAnswer: l*(l - 20)*(l - 2)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -340*l**2 + 133*l + 3. Let k(g) = 171*g**2 - 55*g - 1. Give 2*b(o) + 5*k(o).\nAnswer: 175*o**2 - 9*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 489383 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4098085 is divided by 110.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 - w - 1. Suppose -105 = 3*c - 8*c. Let l be (-4)\/(-14) + (-27)\/c. Let i(z) = -3*z**2 - z. Determine l*i(h) + j(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -6 - 25*s - 4 + 23*s. Calculate the remainder when 79 is divided by u(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 73\/(-40) + (-4)\/(-4). Let l = -3\/8 + w. Let x = -32\/35 - l. Is -0.3 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*(l\/l**(-3\/8)*l)\/l*l)\/l)\/l)\/(l*l*l**7*l)*l**(-5)\/l**(-1\/12) assuming l is positive.\nAnswer: l**(-325\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-3) - (-78)\/18. Suppose 0 = 5*j - 11 + 36, 15 = u*z + 3*j. Suppose -p + 4 = z. Which is smaller: p or -4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(-4)\/2 - 4. Let o(n) = 8*n**2 + 3*n + 2. Let y(d) = 8*d**2 + 4*d + 3. Let m(z) = u*y(z) + 3*o(z). Find the second derivative of m(w) wrt w.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3\/5 - 7516*z**2\/5 + 60176*z\/5 - 120384\/5.\nAnswer: -(z - 4)**2*(z + 7524)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1183 - 1172. What is the third biggest value in 2\/19, d, 2, -1\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -15 - -6661?\nAnswer: 6645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of -2*g**3\/9 - 4*g**2\/3 - 8*g\/3 - 4. Find j such that p(j) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(152) + (sqrt(152) - (-1*sqrt(152) - sqrt(152))*3) + (1*sqrt(152)*1 - sqrt(152)))*-1)\/(3*sqrt(288) - sqrt(128)\/sqrt(4)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.663 + 133.437. Let l = j - 135. Are 3\/7 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 667.6447 times 0.52\nAnswer: 347.175244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**3 + 557*x**2 + 5076*x + 10188 = 0. What is x?\nAnswer: -6, -3, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 9. Suppose -2*g = -o - 6. Suppose f + 7 = 3*f - g*x, -2*x = 4*f + 10. Put f, 1, 0 in descending order.\nAnswer: 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 11*t**3 + 5*t - 1. Let k(y) = -32*y**3 - 14*y + 2. Determine 8*j(b) + 3*k(b).\nAnswer: -8*b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30 + 14 + 5)*(-3 - 2 - 2)*(-2*v**2 - 2*v + 2*v)*(0*v**3 - v**3 + 3*v**3).\nAnswer: -308*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-330)\/264*2\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 - 5 = 5*k. Let d(x) = -4*x - 5*x**2 + 3*x**2 + x**2 + 7. Determine d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f**2 - 1664*f + 4. Let u(h) = -95*h. Calculate a(u(o)).\nAnswer: -18050*o**2 + 158080*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 292780.5km in meters?\nAnswer: 292780500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 59, 3 in decreasing order.\nAnswer: 59, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 10, i: 2, b: 1, t: 3}. What is prob of sequence bt?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -528860 or -528859?\nAnswer: -528859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 91.2, 0.4, 31.81 in ascending order.\nAnswer: 0.4, 31.81, 91.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*l + 3*u, 5*u + 30 = l + 3. Let j = 2 - l. Let o(t) = t**3 - 2. Calculate o(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.6 + -2.3. Let n = m - -0.5. Let d = -17582 + 17576. Which is the closest to 1\/2?  (a) -1\/2  (b) d  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 294*q**3 - 1178*q**2 + 1184*q - 8 = 0.\nAnswer: 1\/147, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -3*m**2 + 1000*m - 4972. What is f(5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20863831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 7*c + 1. Let d(f) = f**3 + 10*f**2 - f + 3. Let l be d(-10). Let q(a) = 14 + 18 - 44 + 15*a + 15. Calculate l*k(u) - 6*q(u).\nAnswer: u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 4) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3225 is divided by 203?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m**2 + m. Let b(j) = 2*j + 11*j - j + 36*j**2. Let v(y) = -b(y) + 12*w(y). Let i(p) = 3*p**2. Calculate v(i(s)).\nAnswer: -108*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(-12) - 33\/(-9). Suppose -5*i - o - 2 = 0, 4*i + z*o - 8 = 7*o. Let h be (5 - 5) + (i - -2). Which is the closest to 2?  (a) -4  (b) 5  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, -0.5, -0.3, -22458\/127?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -270*h = -543*h + 293*h - 60. Solve -4*r - 16 = -20, -h*z + 4*r = -11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -978 + 975. Let o(x) = -x**2 - x - 2. Calculate o(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + 3\/6*0. Let u(f) = f**3 - 9*f**2 + 7*f + 11. Let p be u(8). Solve p*s = d*s + 3*t - 8, 4*t - 13 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7.9246 - -7.9. Let v = 129.981 + -130. Let b = v - w. Round b to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209462459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of r**5\/30 + r**3\/2 - 7*r**2. Let y(l) be the first derivative of z(l). Let p(a) = -a. What is y(p(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 3 - -2) + (-8 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttltltttttttlttltttt?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 68753.91 millilitres in litres?\nAnswer: 68.75391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*z + 79*z = 4680. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1079616188 + 1079616188 + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -11, -13, -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4350 is divided by 109?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 3\/4, 459470.\nAnswer: -0.2, 3\/4, 459470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 901 divided by -2?\nAnswer: -901\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1500) - (-2*(sqrt(1500) - sqrt(1500)*1) + sqrt(1500)) - sqrt(1500)*-1*6)\/(-5*-1*sqrt(12) - (sqrt(972)*-3 + sqrt(972))).\nAnswer: 30*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 98959309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-4))\/(189\/56)*-3*(-38421)\/9961?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 60, 62, 64, 66, 68, 70?\n\"Answer: 2*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3\/3 - 290*k**2 - 84100*k - 24389000\/3.\nAnswer: -(k + 290)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u + 3 = -6*u. Suppose u = -x + 5, -4 = 2*l - x. Suppose l = 7*v - 712 - 177. What are the prime factors of v?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of l**5\/20 + l**4\/3 - 2*l**3\/3 + 2*l**2 + l. Suppose 15 = -3*w + 6*w. Let m = w + -10. What is h(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1356 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 84086703 to the power of 1\/3, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 8946 and -39211185479.\nAnswer: -39211176533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 7*l**2 + 3*l + 15. Let r be c(-7). Let v be 3*6\/4*2. What is the units digit of 7\/v - r\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -27675 from 0.2.\nAnswer: 27675.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 + -17. What is the third biggest value in -3\/7, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v. Let s(k) = 6*k. Let r(w) = -2*w - 28. Let f be r(-5). Let z(j) = f*m(j) + 2*s(j). Let d(g) = -g**3 - g**2 - g - 2. Let h be d(0). Give z(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -66, -140, -214, -288, -362?\n\"Answer: -74*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*p**4 - 3*p - 24*p**4 + 4*p**3 + 50*p**4 to u*p**2 + g*p**4 + h*p + m + r*p**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - -150838297729.\nAnswer: 150838297729.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 2*v - 19 - 22, 5*v = -u + 42. Let c = u - 1. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -279879*z**3 + 8*z**2 - 6279*z - 1 wrt z?\nAnswer: -1679274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 46*k**2 - 98*k - 76. Calculate the least common multiple of f(-8) and 3320.\nAnswer: 36520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 1. Suppose -2*p - 4 = -4*i, 4*i + 5*p = -i + 20. Let m(b) = 1 + b**2 + 1 + 0*b**i. Let z(v) = -3*d(v) + m(v). Factor z(k).\nAnswer: (k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/8 + 47\/2. Suppose -4*i = -s + 7. Solve -13 = -3*z - i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (14 + -2)*(-22)\/(-33). Suppose 13*f - q*f - 45 = 0. Suppose f*m = 12*m + 36000. Round m to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/2 - 3*(-10)\/(-15). Let o be (f - (-2)\/(-11)) + (-120)\/(-55). Factor -1\/6*i**o + 0*i + 0 + 1\/6*i**4 + 0*i**3.\nAnswer: i**2*(i - 1)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 9*q**3 - 4*q**2 - q + 2. Let k be c(-2). Let h = k - -129. Let s(o) = -6 + 51*o**2 + h*o**2 - 97*o**2 + 4*o. Determine s(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/16 and -75\/3808.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -34 - 15034?\nAnswer: -15101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**3\/9 + 2*i**2\/9 - 16*i\/9 - 8\/9.\nAnswer: 2*(i - 2)*(i + 2)*(2*i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.79158 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 - 8*z + 9. Let l be k(7). Suppose 5*v - 57 = -3*a, -4*v + 5*a + 15 = -1. Suppose -5*w = -v*w - 11*w. Solve w = l*g + 4 - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.09 - 6. Let o = 0.04 - g. Let f = 1.95 - o. Which is the second smallest value?  (a) -4  (b) f  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*m + 2*m. What is the remainder when 2 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17166 - 53400 = -1857*a for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 62539515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 233.0628l?\nAnswer: 233062.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 + 2*n**2 + 4*n + 1. What is y(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4654 - -4669. Solve 0 = 246*a - 249*a - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23306\/3 <= -314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/48 - (-1370)\/8. Let w = d + -33. Suppose 0 = 5*c - j - w, -2*j - 2*j - 48 = -2*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/5, 4, -5, -0.2, 29\/19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 537172818 and 5902998.\nAnswer: 537172818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8942421 to the nearest integer?\nAnswer: 2990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**4\/5 - 812*v**3 - 85848*v**2\/5 - 602308*v\/5 - 1406986\/5 = 0 for v.\nAnswer: -7, 2051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 14586.\nAnswer: 2\/7293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -r + 31, -38 = 2*r - 5*r - 2*t. Suppose 24 = j - 2*j. What is the lowest common multiple of (j\/(-5))\/(3\/10) and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 - 11*n**2 + 91*n - 108. What is b(-18)?\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 15 - 27 = 0. Is (-204)\/x + (-2)\/(-7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.17 * -16.9.\nAnswer: 2.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6*(-3)\/252)\/(4\/14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 + 12. Let j = 8 + -6. Is u less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2531 = 206*n + 677 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 435430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2658803 < 2658837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 281027*c - 36*c**2 - 281027*c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-2)\/(-40)*4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000 + -1001001011?\nAnswer: -1001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 4*u + 32 = 0, 55 = -u + 52. Let x(d) = 21*d + 99. Calculate x(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9206035*w - 1996972 with respect to w.\nAnswer: -9206035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 21*x + 23*x + 22*x - 68*x. Let k(b) = 176*b. Calculate q(k(j)).\nAnswer: -352*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2283 - 242. List the prime factors of k.\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 84711*x**2 + 100962.\nAnswer: 169422*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3729\/2 - 1864. Let s(c) be the third derivative of 0*c - 2*c**2 - t*c**4 + 0*c**3 + 0 - 1\/20*c**5. Factor s(i).\nAnswer: -3*i*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*k = -40*k + 22*k, 3*k = -4*n + 5*k + 20. Suppose -n*v + 0*v**2 + 0 + 5\/4*v**3 = 0. What is v?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4599 is divided by 42\/(-35)*1250\/(-30).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*g - 8. Let q(j) = -j**2 - 5*j. Let k = -187 - -294. Let n = 110 - k. Let o(c) = c**2 + 4*c - 1. What is g*q(m) + n*o(m)?\nAnswer: m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -26 - -1427652a?\nAnswer: 14276504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 38937 + 2005. Does 59 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o - 79*o**3 + 31*o**2 + 2*o**2 - 3*o - 74*o**3 + 155*o**3.\nAnswer: 2*o**3 + 33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*w - 2 - 11 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -57836.389 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 7 + 17 = 0. Let n = m - 3\/2. Determine r, given that 0 + 0*r**3 - 1\/2*r**4 + 1\/4*r - 1\/4*r**5 + n*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 21\/(-35) - (-26)\/35. Let c = -2 + 2.1. Let j be (1050\/(-66))\/5 - (-2)\/11. What is the nearest to -4 in c, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 - 12. Suppose t + 26 = o*t. Let g = 31 - t. What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50546 (base 9) in base 2?\nAnswer: -1000000111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 308887.\nAnswer: -2\/308887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 833086 = 42*o - 622928. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -15*y - 8. Let a be z(9). Let l = 300 + a. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -6\/203 and 73\/63.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 37452 + 0\/(-1) + 355 + -363 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -2*i - 16, 2*i + 0*g - 8 = 2*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t + 8. Let r be c(-4). Let q be 3 + (4 - 1244\/176). Are r and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 148*v**2 - 39365*v + 38391. Give u(265).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + 9 + 5 + -10 + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-8)*48\/(-234). Suppose q + q + 6 = 0, 5*q + 12 = -3*j. What is the second biggest value in j, -3, 2\/7, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r. Let s(u) = 4*u - 4. Let z = 14 + -10. Let p(l) = -4*l + 3. Let x(t) = z*p(t) + 3*s(t). Calculate g(x(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rmvqcvvrvrmrrqrqq. What is prob of picking 1 q and 1 c?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 41 = 4*s - 37, 0 = -u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u = 18*u - 12. Let t(d) = 2*d - 7. Let o be t(6). Suppose -2*k - o*a + 51 = k, -u*k = 3*a - 79. What is the greatest common divisor of k and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 285452.1382 to the nearest one hundred.\nAnswer: 285500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 3*a + a - 358 = 0, 4*a - 8 = 0. Let l = 58 + t. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1704263, -1704256, -1704247, -1704236, -1704223?\n\"Answer: g**2 + 4*g - 1704268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 70 and 39860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1010000101001101010101 (base 2) to base 12\nAnswer: a75471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 863, 3464, 7797, 13862, 21659, 31188?\nAnswer: 42449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14371*p**4 + 5852*p**2 wrt p?\nAnswer: -344904*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/24 + (-26)\/12. Let b(q) = -q**2 + q + 1. Let f(s) = -3*s**2 + 4*s + 2. Let v(c) = o*b(c) + f(c). Factor v(d).\nAnswer: -d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4623 - -4681. Let i = -30 + -22. Let m = z + i. What is the nearest to m in -1\/3, -5, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/2585 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 142112312 (base 5) to base 3.\nAnswer: 1101111222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 + 5*j**2 + 2*j + 6. Let y be f(-4). Suppose 0 = -19*d + y*d. Is d greater than or equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (60*24\/(-2016))\/(1\/(-14)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of f**4\/4 - 5*f**3\/3 - f**2\/2 + 6*f + 3. Let r be z(5). Suppose 0 = -i - 3, j - i - r = 4. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -764.76 - -761. Round x to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w. Suppose -5*o + 17 = -3*t, -t = 2*o - 0*o - 9. Suppose 0 = 2*j - 0*j - o. Let y(p) = -4*p + 1 + 3 - j. Give -2*b(f) + y(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**6\/120 + j**5\/30 + j**4\/24 + j**3\/2 + 178*j**2. Give u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 148536048.\nAnswer: 2, 3, 3094501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*h**4*y - 2*h*y**3 - 6764*h + 14*y**3 - 6715*y**2 with respect to h.\nAnswer: -8*h**3*y - 2*y**3 - 6764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12204 times 4.324?\nAnswer: 52770.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 10*p**2 - 6*p - 1. Let f be m(-11). Let a = f + -187. Is -1\/50 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -10*s**3 - 2*s**2 - s - 2. Let x(u) = -2*u**2 + 4*u - 2. Let d be x(2). What is the units digit of w(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35762087939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -12*o**3 - o**2 - 3*o - 1. Is 17 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4}. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 210 and 216330?\nAnswer: 1514310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/4030 and 61\/93.\nAnswer: 12090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 + 6*u - 4. Suppose -5 = 5*a, -a = 3*h - 5 - 9. Let g be y(h). Solve o + 2*x = -g + 9, 0 = 5*o - 5*x + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -10 - 1ed8044?\nAnswer: -1ed8054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -407 - -409. Solve w + 3 = -2*b - 3, 5*w + 18 = l*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -11011?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177 = -3*p + 81. Let i = -91 + p. Let r be (-3)\/i*(-9)\/((-27)\/30). Let y(v) = -v**2 + 9*v - 5. What is y(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 387 + -387. Let n(v) be the third derivative of -v**4\/24 - v**3\/2 + 2*v**2. Calculate n(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 + -31\/2. Let p = 139 - 136. Which is the closest to p?  (a) q  (b) 0.3  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - h + 2*h)*(7*h - 8*h**3 - 3*h**3 - 8*h).\nAnswer: -22*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5 - 4 - 62\/(-7). Let w = -2 + 1. Which is the closest to w?  (a) 0.4  (b) 1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*f + 25, -2*m = -0*m - 12*f + 35 + 9 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.22142 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1136 - -1532?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v**3 - v**2 - 1. Let f(o) = -25*o**3 - 7*o**2 - 52*o - 10. What is -f(z) + 9*j(z)?\nAnswer: -2*z**3 - 2*z**2 + 52*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1377) + sqrt(1377) + sqrt(272)*2)**2 + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 9, c: 3}. What is prob of sequence cj?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1770*k - 111700 = -2*v - 1767*k, 0 = 3*v - k - 167557. List the prime factors of v.\nAnswer: 7, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3347, 7494, 12459, 18248, 24867, 32322, 40619, 49764?\nAnswer: 59763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -307450\/19, -0.7 in descending order.\nAnswer: 6, -0.7, -307450\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -231*w + 14 = -227*w - 2*o, 4*w - 18 = -2*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 5 = -c. Suppose 4*u + 3*z - 7 = 0, -c*u + u - 2*z = -10. Find the first derivative of 6*o + 5*o - 7 - u wrt o.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100102002222102 (base 3) to base 8\nAnswer: 23050665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 70317052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 31 + 24*a - 22*a + 28*a + 25*a + 23*a in the form l*a + k and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 + 10*b + 15. Let y(l) = -2*l**2 - 8*l - 12. Give -2*f(x) - 3*y(x).\nAnswer: 2*x**2 + 4*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2586 divided by -3.\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151424 = -4385*h - 53436 + 169497 for h.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 6:16 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17598.000024439 - 17598. What is c rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.18 - -0.12. Let k be (-2)\/2 + 34\/30. What is the second biggest value in 5, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 512067*m - 3*m**2 - 512067*m - 197 + 194.\nAnswer: -3*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 614081?\nAnswer: 13, 47237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 2\/9, -106066?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2690447, -2690441, -2690447, -2690471, -2690519, -2690597, -2690711?\nAnswer: -2690867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32076966?\nAnswer: 2, 3, 647, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1 + -0.9. Let v = -6 + 6.01. Let k = v - 0.41. What is the closest to b in k, -1\/11, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -66889444*g*x - 17109131*x wrt g?\nAnswer: -66889444*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -1350107 and -738 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 = 4*q - 9. Suppose q*g - 20*g = 10, g + 6711 = 4*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.44698 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - 2*k - 3*k**3)*(0*k**2 + 8*k**2 + 0*k**2) + k**5 - 2*k + 0*k + k**5.\nAnswer: -22*k**5 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i*i**(-2))\/i)**(-2\/59))**(1\/21))**(2\/29) assuming i is positive.\nAnswer: i**(8\/35931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 970*10\nAnswer: 9700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -7. Suppose 3*d = s - 20. Let u = 17 + d. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -280*j + 36940. What is s(132)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - 0)\/((-12 - -3)\/(-9)). Suppose t = 13*i - 2176 - 3102. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 + 6 + 10*q + (-1 + 3 + 0)*(-4 + 1 - 8)*(q - 3*q + 4*q).\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/33)\/(((x\/((x*(x\/x**(-11))\/x)\/x))\/x)\/x))\/(x\/x**1*((x\/(x\/(x\/x**5)*x))\/x)\/x) assuming x is positive.\nAnswer: x**(625\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72.12459 micrograms to nanograms.\nAnswer: 72124.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -8*d**3 - 7*d**2 + 6*d + 8. Let x(q) = -q**3 + 2*q**3 - 2*q**2 - 2*q**3 + q + 3*q**2 + 1. Let g(m) = s(m) - 6*x(m). Is g(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32435576, -64871157, -97306738, -129742319, -162177900?\nAnswer: -194613481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 557436279?\nAnswer: 3, 281, 661253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -16*q - 69. Let n(h) = -37*h - 132. Determine -6*n(u) + 11*o(u).\nAnswer: 46*u + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of c**6\/240 + c**5\/60 + 23*c**2\/2 + 2*c. Let k(b) be the first derivative of a(b). Let k(g) = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131550000 rounded to the nearest one million?\nAnswer: 132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*k - 1936 = -7606. Let x = 273 - k. Suppose -70 = -3*u - 2*s, 4*s = 6*s - 4. Calculate the remainder when x is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ju when two letters picked without replacement from gigujj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (41 + -30 - (-2 - (3 - 7)) - 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*f - 33*f + 60 = 0. Let y(a) = a**3 - 7*a**2 + 5*a + 6. Suppose 3*d - 11 = 7. Let r be y(d). Solve r*q = -4*q - f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -15*u**2 + 83*u + 16. Calculate the remainder when 244 is divided by n(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = 16*q - 19*q + 11, -q - 3 = v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -42*d - 7*d - 19733 + 66283. What is the highest common divisor of d and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 96 = -6*s, 4942*t - 4938*t - 48 = 3*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 439191 and 3.\nAnswer: 439191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 140\/7*(10*56\/(-210))\/(10\/15)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 2, h: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -6*q + 6. Suppose -6*o = -2*o - 8. Let y be ((-2)\/3)\/(o\/q). Put 5, y, -4 in descending order.\nAnswer: 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3*p = 3. What is the third derivative of 3*d**2 + p*d**3 - 4*d**3 - 2*d**2 + 0*d**2 wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -73 + 73.975. Let m = f - -0.025. What is the second smallest value in 5, -6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 34480*o - 482728. Determine c(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 - 33*r - 194. Let v be a(38). Let x be ((-21)\/(-28))\/((-3)\/2). Put v, 3\/2, x in ascending order.\nAnswer: v, x, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 438599744 is divided by 767.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*z - 3*z + 4*z)*((-4*z + 5*z - 3*z)*(-3*z + 0*z + z) - 2 + 7*z**2 + 2) to q + j*z + b*z**3 + i*z**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 64188, 64074, 63960, 63846, 63732?\nAnswer: 63618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 + u. Let d(a) = 250 - 248 + 3*a + 2*a**2 + 7*a**2. Calculate d(l) - 5*p(l).\nAnswer: 4*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 14*p = 189 - 664 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2388727.77 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25 - 20. Suppose 12 = -4*i - c*u + 3*u, u - 15 = 5*i. Sort 3, i, -2, 5 in ascending order.\nAnswer: i, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 + -14. Let q(v) be the first derivative of v**4\/4 - 5*v**3\/3 + 5*v**2\/2 - 2*v + 5. Let j be q(x). Solve -3*i = 5*k - 35, -4*i + 18 = j*k - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j + 18. Let t be z(-10). Let p be (-4)\/((t\/25)\/(6\/(-5))). What are the prime factors of ((-378)\/4)\/(p\/80)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**5 + 384*m**4\/5 + 2822*m**3\/5 - 10632*m**2\/5 - 936*m = 0. What is m?\nAnswer: -26, -15, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 882 - 318?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.32 and 308629.06681678?\nAnswer: 308629.38681678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 28, 10.\nAnswer: 0, 10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*u + 10*u - 2 + 14*u + 8*u - 43*u + 2*u**3 - 21*u**2 + u**4 as h*u**3 + g*u + z*u**4 + f*u**2 + a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 12 = 0, 5*n = 2*j + n + 12. Let t = -409 - -413. Suppose j = t*y - 10 - 6. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -80\/3?  (a) -23\/18  (b) 0  (c) 0.1  (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or -543530?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(5 + sqrt(21)\/sqrt(3) + 1 + 3 + 1 + sqrt(343)*2) + 1.\nAnswer: -45*sqrt(7) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 4.79?\nAnswer: 19.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express q**2 + 255*q**3 - 44*q**2 - 254*q**3 as y + w*q + l*q**3 + t*q**2 and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 90, 140, 188, 234, 278, 320?\n\"Answer: -z**2 + 53*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 25 = 0, 4*g + 5*s + 2 = 59. Let f be ((-64)\/24)\/(g\/12). Let i(n) = -2*n**2 - 2*n + 1. Calculate i(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(2448) + sqrt(2448)*-3 + sqrt(2448))**2*-3 + -2)*3.\nAnswer: -22038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 45986 or 45988?\nAnswer: 45988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 847263 = 209*l + 3035911. Which is smaller: -10473 or l?\nAnswer: -10473","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 6, h: 2}. Give prob of picking 2 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15 - 32. Let t = 140 - 84. Let n = t - w. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)*2 + 3 + 4 + -1)**2.\nAnswer: 144*sqrt(5) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 109480+-2\nAnswer: 109478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 302 - 686*g - 1486*g - 302 as p*g + m and give p.\nAnswer: -2172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -185 - -259. Let v = k - -43. Suppose v - 23 = f. List the prime factors of f.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -3  (c) -3.4  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*o = -3*o - 96 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3664861 - 7036532963\/1920. Find the common denominator of r and -37\/320.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1\/5  (b) -0.1  (c) 5  (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1300\/(-15)*(-222)\/4. Suppose 65*t = 75*t - o. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ytrtrz. What is prob of sequence zt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a7882 (base 11) in base 16?\nAnswer: 74ea7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 90594 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 PM and 8:39 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*t - 4760 = -45*t - 48*t. Calculate the highest common divisor of 18700 and t.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 9*x - 4*x + 30 = 0, 5*m = -3*x - 34 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 not equal to 308665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (24*x - 35*x + 103*x)*(-2*x + 4 - 4 + (1 + 2 + 0)*(-x + x + x)) - 5*x**2 + 16 - 16 in the form s + d*x + j*x**2 and give j.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 4*s. Let i(m) = -22*m**2 + 14*m**2 + 13*m**2. Give i(u(r)).\nAnswer: 80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of 0*v**5 + 0*v**6 + 0*v**2 + 0*v**3 - 6*v + 0*v**7 + 9\/28*v**8 + 3\/4*v**4 + 0. What is the third derivative of n(s) wrt s?\nAnswer: 2160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -577 - -595. Solve i = -j - 8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 1164?\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*r + 76*r = 132. Put -265, 2, r in descending order.\nAnswer: r, 2, -265","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/11  (b) 5  (c) 0  (d) 0.0164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3 = -h + 4*h, 0 = 4*m + h + 1. Find a, given that m*a**5 - 3*a**2 - 9*a**3 - 5*a**5 + 2*a**5 - 9*a**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13151426 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: 4874 times 363\nAnswer: 1769262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + m**2 + 2*m + 1692. Let j be g(0). Let h = j + -975. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -33103021 + 0?\nAnswer: -33103021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -111 + 2544?\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/(-8))\/(6\/(-4)). Let k = -95 - -158. Let a = -62 + k. Which is bigger: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3b - 8ab87a?\nAnswer: -8ab8b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/6  (b) 0.1  (c) -5  (d) 12  (e) 534\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1032430\/344)\/(-343)*8\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16337*i**6 - 8*i**5 + i**3 - 7401*i**2 + 543*i wrt i?\nAnswer: -1960440*i**3 - 480*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o**3 + 5*o**3 - 51*o**3 + 26*o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 6*b + 53. Let o(r) = 4*r + 36. Let g(n) = -n**2 + n + 51. Let p be g(8). Let d(s) = p*t(s) + 7*o(s). Give d(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1327 divide 8322829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 1084 = -372. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.156 minus 169?\nAnswer: -168.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + 33133?\nAnswer: 3312b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12061932 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*v - n, v - 3*n + 8 = -3*v. Calculate the smallest common multiple of 3 and -2*(63\/v)\/9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.030387933 rounded to four dps?\nAnswer: 0.0304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*b*o**3 + 11*b*o**2 - 20*b*o + 19*b + 416658*o**3 wrt b?\nAnswer: -2*o**3 + 11*o**2 - 20*o + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20806 + 38281. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2950*b + 62. Calculate o(0).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m - 3*m + m)*(0 - 3 + 1)*(0 + 0 - 1).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -40781*n**2 + 22*n - 3646?\nAnswer: -81562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 351 (base 7) to base 4\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -13*y**3 - 24*y**2 - 9. Let s(c) = 3*c**3 + 6*c**2 + 2. What is 2*a(r) + 9*s(r)?\nAnswer: r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1264*f = 1414*f - 2788*f + 7700 for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 3 + -3 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a + 1. Let y(s) be the second derivative of s**4\/12 + 13*s**3\/6 + 15*s**2\/2 - 17*s. Let j(g) = -3*h(g) + y(g). Give j(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 37084009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**4\/2 - 36*m**3 + 803*m**2 - 5580*m + 24025\/2.\nAnswer: (m - 31)**2*(m - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(36)*1)\/(-4*sqrt(4)\/sqrt(2)*5))**2*2.\nAnswer: 9\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 286 and 507.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 31 = -7*r. Let z(k) = k**3 - 5*k**2 + 4*k. Let t be z(r). Suppose -p = a - 2*p - 44, 4*p - 12 = t. List the prime factors of a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 49 and 28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f - 2*f**4 + 5 - f**3 + 1 - 7 + 5*f to the form s*f + p*f**3 + k*f**4 + j*f**2 + r and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 180 times -0.09548\nAnswer: -17.1864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17599885 and 89837?\nAnswer: 193598735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c**(5\/6))*c)\/(c**(-7\/6)\/c) assuming c is positive.\nAnswer: c**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-6))\/(-32 + (-176)\/(-6)). Let p = -6 - -6.1. What is the nearest to p in 2, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(3\/4)\/(o\/((o**28\/o)\/o))*(o**(1\/11))**4 assuming o is positive.\nAnswer: o**(1149\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v + 0 + 0)*((2 + 1 - 2)*(-3 + 5 - 3) + 3 - 3 - 6)*(-16 - 19 + 38 + 3 - 4 - 1 + (4 - 4 + 2)*(1 - 3 + 1) - 4 + 0 + 3).\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/(4 - -4) + 2. Suppose -j*b - 2*u + 1236 = b, -626 = -2*b + u. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -210 - -550. Let j be (12\/15)\/(8\/t). Suppose 5*p - j = -4. Solve 0 = -f - 2*f + p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 z, and 2 q when four letters picked without replacement from {w: 1, q: 3, z: 1, p: 1, h: 2, n: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of -11*m**2 + 9*m - 4. Is 26 a factor of n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/7))**(25\/4)\/(((g**(2\/29)\/g)\/g)\/(g\/(g**16*g))) assuming g is positive.\nAnswer: g**(-10699\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-2\/5)*z**(-8\/7))**14*(z**1)**(22\/3)*(((z*z*z*z\/(z\/(z\/(z\/((z**(-2\/5)*z)\/z*z)*z*z)))*z*z)\/z)\/z)\/((z*z*z**1\/z*z*z)\/z) assuming z is positive.\nAnswer: z**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 5*h + 5*m, 2*m - 10 = -0. Suppose -2*y = 5*v - 107 - 54, 68 = y + h*v. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6279994 divided by 266\nAnswer: 23609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 598*l - 11. Let b be w(-8). Let q be -2 + 9 + b\/686. Is q at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*j + j + j)*(6 - 6 + 17*j**3 + (5 - 5 - 2*j**2)*(0*j - j + 0*j)) to the form l*j**4 + u*j + d*j**3 + r*j**2 + h and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -293*t + 7358492*t**2 - 298*t - 14716977*t**2 + 7358486*t**2 + 591*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17572, 35140, 52706, 70270, 87832, 105392, 122950?\nAnswer: 140506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*m, -2*x + 35 = 4*m - 13. Suppose 4*l + 2*s - 249 = -19, -4*s - 20 = 0. What is the smallest common multiple of l and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.346 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 11:27 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1237.9806 + 0.0194. Let k = 1237.99997972 - i. Round k to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -176 - -180. Let y(j) = -j**3 + 3*j**2 + 3*j + 2. Determine y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 3, x: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -3 + -2 + (11 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 36\/(-8)*24\/(-18). Find the third derivative of 10*i**4 - 13*i**b - 11*i**2 - 8*i**6 - 10*i**4 wrt i.\nAnswer: -2520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 723725758?\nAnswer: 2, 7, 51694697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 + 394*g + 5289. Give y(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 638 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2843975 not equal to 2843984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 66480 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -27243 and -1144153\/42 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 1 + -18 + (151 - 120).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 32057 (base 8) to base 10\nAnswer: 13359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of 3*r**5\/40 + 3*r**4\/4 + 3*r**3 + 6*r**2 + 15*r. Factor x(g).\nAnswer: 3*(g + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 3:17 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 93280500 to the nearest one hundred thousand.\nAnswer: 93300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -3057*x - 8. Let r be 6\/(-4)*(-182)\/(-39) - -2. Is h(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 2) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8075)\/(-1482) - ((-275)\/(-10))\/((-40)\/(-8))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 8*r - 1. Let j(w) = -9*w + 2. Give -5*j(s) - 6*y(s).\nAnswer: -3*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 + 8*n + 4. Suppose 3*a - 4 - 20 = 0. Let o be t(a). Solve -2*f - 2*f + 1 = 3*z, -4 = 4*z + o*f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2, -69, -274, -685, -1374?\n\"Answer: -12*q**3 + 5*q**2 - 2*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 1\/4, -1\/4 in increasing order.\nAnswer: -8, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1056026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (14\/7)\/(2 + -1). Find the second derivative of -12*u**2 - 2*u**2 + 52 - 2*u**3 - 2*u**p - 57 - 12*u wrt u.\nAnswer: -12*u - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 280 a factor of 54499053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.21 - 3.79. Are 3 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = 9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-2*sqrt(3))**2*4 + sqrt(9)\/(sqrt(3)*-1*3).\nAnswer: -sqrt(3)\/3 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -19*f. Let k(d) = 39*d. Let t = 74 - 80. Give t*k(j) - 13*p(j).\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 + 15*c - 32. Let i be y(12). Suppose -t - 3*s = -15 - 23, -5*t + 245 = i*s. Calculate the greatest common divisor of t and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4320 by 90.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 4 - 4. Let s(q) = -r*q**2 + 4*q**3 + q - 2*q**3 - 3*q + 2. Let x be 1\/4*56\/(-35)*-5. Give s(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of -1 + 0*f**5 + 2*f**2 + 0*f + 11\/6*f**6 + 0*f**3 + 0*f**4. Find the second derivative of y(x) wrt x.\nAnswer: 220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**2\/3 + 128284*q\/3 - 769272.\nAnswer: -4*(q - 32053)*(q - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 80 = 4*j - 7*j, -5*j = -5*l - 150. Calculate the greatest common factor of 1700 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gtjxnlxng. Give prob of picking 1 t and 1 x.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3746.83387 rounded to 0 decimal places?\nAnswer: -3747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 538, 534, 526, 514, 498?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - 27. Let m = q + 17. Solve -m*p = -3*u + 15, u + 2*u = 2*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, e: 2, h: 1, u: 2, k: 1}. What is prob of sequence ee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3797098 is divided by 244.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3103 - -17377. List the prime factors of w.\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-48)\/(-2) + 71 + -76. Solve 5*s + 8 = -3*m - 2, -4*m - b = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1069.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -5*j + 36. Suppose 34*y - 44*y + 70 = 0. Suppose -5*m = -2*r - 21, -2*r = -2*m + 5 + y. Calculate the remainder when j is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - (-3)\/6*-6. Let j(f) = -f**3 - 2*f**2 - f + 9. Let w be j(m). Let g be 280\/w + 2\/(-9). Put -4, g, 5 in ascending order.\nAnswer: -4, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1264 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3104879 is divided by 1169.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 4) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -522 = 16*k + 806. Let f = 91 + k. Solve -4*a = -f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -15*f**2 - 1188*f - 70807. Let c(r) = -20*r**2 - 1187*r - 70808. Let w(k) = 2*c(k) - 3*l(k). Factor w(z).\nAnswer: 5*(z + 119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -697*w**4 + 84*w**4 + 8789*w**2 - 576 + 4688*w + 7812*w**3 + 5*w**4 - 19925*w**2 - 180*w**5 = 0.\nAnswer: -9, 2\/9, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k + 2*k + 2*k)*(0*k**2 + 0*k**2 + 2*k**2 + k).\nAnswer: -2*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.236895411 rounded to 5 decimal places?\nAnswer: 0.2369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.5 - -0.8. Let f = -1.039 + 0.039. What is the closest to f in -1, b, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyyz when four letters picked without replacement from zzryrzyzyyyyy?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -179*y**2\/2 - 494*y - 222. Differentiate s(o) wrt o.\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57111169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -19 + (3 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 13*-1 + 1\/1. Suppose 0 = -6*l + 2*l + 108. Let i = l + m. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {o: 2, j: 4, c: 2, s: 1, v: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 7:13 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1823470 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gwlelbwlgegeel. What is prob of picking 1 b and 1 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4\/49  (b) 2\/19  (c) -0.1  (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142 + 132 - 274 - 781*o.\nAnswer: -781*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1 + (sqrt(27) + 1)**2 + sqrt(27) + (-1*sqrt(135))\/sqrt(5)) - ((sqrt(132) - 2*sqrt(132))*-3)\/(sqrt(11) - sqrt(176)*-1).\nAnswer: -135 - 156*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 551600 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -4*y + 10. Suppose -y = -0*o + o. What is the remainder when 94 is divided by (-6)\/((o\/2)\/4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 376 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 7, t: 2, m: 7}. What is prob of picking 2 m and 1 a?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w = w + 30. Suppose -w*m + 2*m + 12 = 4*d, 4*m = 5*d + 3. Suppose 2*l = -m*o + 34, -2*l + 2 = -5*o + 3. What is the remainder when 23 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 350 and 10164.\nAnswer: 254100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 41176056019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 72 (base 14) to base 5\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 437851 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: Subtract 10841186 from 1371910.\nAnswer: -9469276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 232711 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 15 = -4*x - 5*v, 4*x - 3*v = -2. Let u(z) = -z - 6. Let q be u(-7). Let y = 3 - q. Solve k - y = -x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0  (b) -0.3  (c) -13  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (76\/96)\/19*8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 2 = -9*f + 3*u, 3*u = -f + 14. Let h(j) = j - 1. Let p be h(3). What is the derivative of 2*q**2 + 2*q**2 - q**p - 3 + f wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*f + 14*f - 21. Let y(o) = o + f + o + o - o. Give y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -19\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1009*x**2 + 1009*x**2 - x + 20*x**3 + 2*x.\nAnswer: 20*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 4. Suppose -2*x = -3*k - 9, -k + 3*k = w. Let q(h) = 3*h. Is 9 a factor of q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 18515.41 years?\nAnswer: 222184.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 divided by -5003291?\nAnswer: -12\/5003291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6*11\/(165\/20). Let i be 21\/(-2)*24\/(-14). Let p = i - g. What is the highest common factor of p and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043079281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 5\/11  (b) -1  (c) 0.5  (d) 41  (e) 10  (f) 0.1  (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 - 15*p - 14. Let o be m(16). Suppose x = -3*y + 77, 0*x + o*y = 5*x - 385. What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 456 and 7984560?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (455\/195)\/((-231)\/(-54))*33. Solve 80*o = y*o + 310 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 35102 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1276\/66)\/(33\/(1386\/(-28)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k = -5*k - 170991. Suppose -n + x - k = 0, -65839 = 2*n + 2*x + 48167. Round n to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.01 + 0.11. Which is the nearest to -1?  (a) 4  (b) w  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115254 divided by 39?\nAnswer: 38418\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) + -6*-2*sqrt(70) + sqrt(70))\/sqrt(10).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -166901.\nAnswer: 166901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + 10*y**2 + 25*y + 7. Let p be i(-3). Sort p, -8, -1, -0.5 in decreasing order.\nAnswer: -0.5, -1, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11470.22 millilitres in litres?\nAnswer: 11.47022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8.2 + -8. Let h = -9.9 + 9.4. Which is the fourth biggest value?  (a) x  (b) 1\/10  (c) h  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 559 divide 304893898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 813450 by 102.\nAnswer: 7975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z*z\/z**(2\/7))\/z)**(2\/49))**(-7))**13 assuming z is positive.\nAnswer: z**(-130\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y**2 - y + 1. Let m be s(2). Suppose -f + 2*n = -3*n + 5, 3*f = 5*n + m. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/4)\/(164\/(-8)). Let l(f) = -f**2 - 42*f - 79. Let d be l(-40). Is d > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1243 = -285*w + 398*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16 in -4\/9, 0.4, -11, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -243.17391 + 243.2. What is v rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 AM and 10:12 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2754 less than 0.187285796?\nAnswer: -2753.812714204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (-24)\/(-4) + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 2:47 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*c - 27 - 27 + 54 to the form s + b*c and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/11)\/((y\/(y\/(y*y*y**(-19))))\/y))\/(y**(-7\/5)*y**(-4\/13)))**(1\/21) assuming y is positive.\nAnswer: y**(14026\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -4*w**3 + 4*w**2 - 2*w + 1287. Let t(q) = q**3 - q**2 - q + 1. Let o(l) = -3*t(l) - v(l). Let b be o(0). Round b to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u - 67. Let b be w(14). Let v = -40 - b. Solve 6*d - 11 - v = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 83 by -11433.\nAnswer: -83\/11433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-8)*0 + 6739. Let q = -2772 + s. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 4*c**2 - 7*c - 1. Let k = 168 + -174. Determine x(k).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-196)\/(-2793))\/(-3 - (-17292)\/5760). Let -264\/19*q**2 - g*q - 512\/19 - 2\/19*q**4 - 40\/19*q**3 = 0. What is q?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**2 + 23*k + 42. Let f be z(-2). Solve 0 = -f*a - j + 17 - 2, -a + 5*j = -30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95902937 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1340331, 1340330, 1340329, 1340328?\nAnswer: 1340327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9.173871ml?\nAnswer: 0.009173871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*h**5 - 23*h + 6*h**5 - 2*h - 3*h**5 wrt h.\nAnswer: 680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wkzwkzkkzk. Give prob of sequence zz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1457150.\nAnswer: 2, 5, 151, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 - 2891*j**2 + 21 - 14 - 1632*j**2.\nAnswer: -4523*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 35\/28 - (0 + 1\/4). Let t(h) = h**2 + h + 1. Suppose 11*m = -3*m + 84. Let i(r) = -4*r**2 - 8*r - 6. Calculate l*i(z) + m*t(z).\nAnswer: 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(700) + 5 + (sqrt(700) - (sqrt(700) - (1*sqrt(700) + sqrt(700))*1)) - -4*(1*sqrt(700) + 1))**2.\nAnswer: 1440*sqrt(7) + 44881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(2299) + (5 + sqrt(2299)*-2 - sqrt(2299)) - -3*((sqrt(304) - (sqrt(304)*-4)**2) + sqrt(304) + 1)) + -2.\nAnswer: -14587 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7a8 - -911?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*o**3 + o**2 - o**2 - 2*o**2 - 2 - 6*o**3 as v*o**2 + t + w*o + k*o**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*4*(sqrt(28) + (sqrt(28) - (sqrt(112)\/sqrt(4) + -5)) - (1 + sqrt(28))*-1).\nAnswer: 120 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -82 - -17. Suppose 296 = z - 5*z. Let g = c - z. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19916343 to the nearest integer?\nAnswer: 4463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0922 from -54548.\nAnswer: -54548.0922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 7:47 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7777 minus 32169180?\nAnswer: -32161403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 781174 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 17*k**6 + 6*k**3 - 2*k**2 - 95*k.\nAnswer: 2040*k**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -298, -2438, -4580, -6724, -8870, -11018?\nAnswer: -13168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p - 16906 + 1044 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-196)\/138 - (-6 + (-154)\/(-33))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 551419726 to the nearest integer?\nAnswer: 23482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.94 - 0.06. Let h = v - -1.6. Let x = 11 + -6. Put 2\/9, x, h in descending order.\nAnswer: x, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.2  (b) 4  (c) -6\/7  (d) 1  (e) 2  (f) -0.3  (g) -169.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 112*d - 24*d - 35*d + d**2 - 42*d. Determine c(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + w = 12, 8*m - 3*m - 2*w = -9. Which is the biggest value?  (a) 5  (b) 0.02  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2767940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of 5*x**4\/4 - 3*x**3 - 9*x**2\/2 - 9*x + 7. Let o(w) = w**3 - 2*w**2 - 2*w - 2. Determine 2*l(r) - 9*o(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2165, -0.5, -38539 in increasing order.\nAnswer: -38539, -0.5, 0.2165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 6:46 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 8:23 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/(p**4*p)*p)\/p)\/(p*(p\/(p\/(p**(-1\/7)*p)*p)*p)\/p*p*p))**(1\/5))**16 assuming p is positive.\nAnswer: p**(-768\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 5) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 1 - (-8 - (15 + -36)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t - 20681 = -103513. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of -y**5\/15 - 4*y**4\/9 - 7*y**3\/6 - 3*y**2\/2 - 4*y. Determine a, given that u(a) = 0.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 439934 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, 21, 126, 323, 642?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h + 3*p + 9, -15*h - 1 = -18*h - 5*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2219 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*144\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 6:16 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -13 + 16 - (-26)\/2. Suppose -w = -6*j + 2*j. Calculate the greatest common divisor of 8 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5402.807*5.\nAnswer: 27014.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (144\/(-56))\/(6\/(-28)). Let s = f + -8. Let c(g) = -2*g**2 + 9*g - 10. Let w(r) = -r**2 + 4*r - 5. Let a(l) = 3*c(l) - 5*w(l). Determine a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -78, -74, -68, -60, -50, -38, -24?\n\"Answer: a**2 + a - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/(-1)*6\/(-5). Let n(p) be the first derivative of 2*p**3\/3 - 7*p**2\/2 - 8*p - 18. Is n(s) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1695980287?\nAnswer: 18041, 94007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.3 - -0.7. Let x = 6.8 - 1.8. Let u = 5.1 - x. Which is the closest to g?  (a) 1  (b) u  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.7 - 2.352. Let f = 0.138 - x. Is f not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q = 9*q + 1168. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002725 to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -496 - -1112. Let x = -612 + l. Solve 0*h + x*h = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-4) + (-8)\/(-16). Solve -19 - w = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 763580.\nAnswer: 2, 5, 73, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 13 - 3 = k, -3*p = 2*k - 10. Suppose 0 = 3*a + 15 - 69. Find the second derivative of -a*x**3 + 14*x**3 + k*x - x wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 AM and 7:31 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 AM and 3:26 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from keeejvvle. Give prob of sequence ejlv.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(5*((sqrt(4050) + -1 - sqrt(4050)) + sqrt(4050) + -1)*6)**2.\nAnswer: -10945800 + 486000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of d**5\/20 - d**4\/8 + d**2\/4 - d\/4 - 5. Factor t(b).\nAnswer: (b - 1)**3*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that g**4\/3 - g**3\/3 - 5*g**2\/3 - g = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26678497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**3 + 53*o**2 + 11*o + 156. What is the least common multiple of j(-26) and 2184?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1357549058?\nAnswer: 2, 678774529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 11:40 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 65, 116, 145, 140, 89?\n\"Answer: -2*v**3 + v**2 + 62*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 5*f = -253, -186 - 73 = -4*p - 3*f. What is the remainder when p is divided by 11\/33 - (-203)\/(-105) - 915\/(-25)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(sqrt(56)\/sqrt(7)) + -6*sqrt(12)\/sqrt(4).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1069.6 and -0.3.\nAnswer: 320.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 5*v**3 + 3*v**2 + 8 - 8*v**3 + 2*v**3 - 2*v**2. Let o be 32\/10 - (29\/(-5) + 6). Suppose o*m - m = -5*m. What is r(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + (-40 - -15 - -63).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -20*o**2 - 3*o - 2. Let z(q) = 102*q**2 + 16*q + 10. Let k(v) = -16*s(v) - 3*z(v). Is k(1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -121 - 2?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36294 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 39374652 a multiple of 1124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f + 6. Let x(t) = -t + 19. Let b be x(13). Let p(h) = -h - 7. Calculate b*m(a) + 5*p(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 10 = -0*k. Let w(l) = 5*l**2 + 3*l + 3. Is 8 a factor of w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -1, -8, 0 in descending order.\nAnswer: 3, 2, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -58*i - 77 - 12*i - 2*i**3 + 75 to the form t + h*i**2 + f*i + d*i**3 and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 0*t - 2*t)*(-2*t - 3*t + 3*t) + (2*t**2 + 2*t - 2*t)*(-2 - 6 - 1).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7695*j - 11736*j - 13828*j - 12011*j - 11503*j - 6088*j)*(4 + 3*j - 4).\nAnswer: -142413*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 256113487 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 732 and 4531.\nAnswer: 3316692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2*w + 75 = 0. Let p(g) = 2*g + w - 25. Let s(m) = 3*m. What is p(s(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-57))\/((-23)\/(-46))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (45*t**2 - 23*t**2 - 13*t**2)*(-3*t + 3*t - 2*t) + t + 13*t**3 + t + 3*t + (0*t - t**2 + 0*t)*(31 - 31 + 4*t) to h*t**3 + s + p*t**2 + x*t and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p + 4. Let m be -5*(3 - (-36)\/(-10)). Calculate g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2b - -d2?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -3304798000 to the nearest 1000000.\nAnswer: -3305000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 19 + 13 = 0. Let g(p) = -2*p**3 - 11 + 2*p**z - 3*p**3 - p + 2*p**3. Calculate g(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14041954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5498 + 2*o**2 - 10*o - 5498 + 27*o - 17*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -7  (b) -1\/4  (c) 3587\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 5*c. Let j be y(-3). Let i = j + 8. Let o(x) = -x**2 - 8*x + 8. Calculate the remainder when o(i) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**3 + 11*u**2 + 30*u + 124. Determine o(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (-43 + (-17 + 30 + -5 - 1))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 12:20 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 135 and 29265.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1224 and 1128324.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - 111110?\nAnswer: -111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9.87838 + 0.09042. Let b = 10.013 + -0.013. Let n = b - m. Round n to 3 decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -2*x - 5918, 0 = -4*x + 5*x - 3. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 4*p = -30, 0*d - 10 = -2*d + 4*d - 4*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d + 88. Let n(x) = -2*x + 165. Give -5*f(u) + 2*n(u).\nAnswer: u - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -5. Suppose -9 = x - 4*a + a, -2*x - a + 17 = s. Suppose -3*g + 2*g + 24 = 0. What is the greatest common factor of x and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 - 6*g**2 - 4*g + 9. Let y = 46 + -51. Let z be h(y). Solve 0*j + z*j = -8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (17*o**2 - 40*o**2 - 27*o**2)*(7*o - 4*o - o) to q*o + x*o**2 + b*o**3 + m and give b.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 53345433 + 120?\nAnswer: 53345553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65877 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 554*x**3 - 5*x**2 + 5*x - 156. Let k(w) = 555*w**3 - 4*w**2 + 4*w - 154. Let m(g) = -5*k(g) + 4*z(g). Find the first derivative of m(r) wrt r.\nAnswer: -1677*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + -4 + (4 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -9 + 4*k - 2\/3*k**3 - 2*k**2. Let f(h) = 3*h**2 + 5*h - 5. Calculate 4*f(q) + 5*t(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 385\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2139589253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 + 6867*j - 408423. Determine f(60).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14482 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -h - 5*v, v = -3*h - 5 + 1. Does 28 divide h - -170 - -1*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -502 < -496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -108, -280, -522, -840, -1240, -1728, -2310, -2992?\n\"Answer: -v**3 - 29*v**2 - 78*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24220 is divided by 457?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.412, -4, -2\/7, 0.857 in descending order.\nAnswer: 4, 0.857, 0.412, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 3*t - 4*t)*(-4*t + 3*t + 23 + 2*t).\nAnswer: -t**2 - 23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 422\/15 + -1871\/60. Calculate the common denominator of u and ((-2)\/8)\/((-4)\/72).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(972)*-4)\/((sqrt(9) - sqrt(9)*1)*1 - ((sqrt(9) - -4*sqrt(81)) + sqrt(9))).\nAnswer: -36*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -582383.626 to the nearest ten.\nAnswer: -582380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 20*h**3 + 960*h**2 + 4*h + 186. What is y(-48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 3*j**4)*(-1 + 3 + 0 - 6 + 4 + 0 + (1 + 1 - 3)*(-5 + 1 + 3)) + 0*j**4 + j**4 - 3*j**4 + (-3 + 1 - 3)*(j**4 - j**4 + 2*j**4) - j**4 + 3*j - 3*j.\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 5*y + 33. Let f be u(-6). What is the closest to -2\/7 in f, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 555.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(325) - (sqrt(325) + 0)) + 5 - sqrt(325)))**2 + 4 + (-4 + sqrt(325) + 1)*-4*6.\nAnswer: -120*sqrt(13) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 542 - 540. Solve j - 3*c + 11 = 0, 15 = -d*c + 7*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 58?  (a) 3  (b) -2\/9  (c) 0.2  (d) 0.1  (e) -4\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10488287*v**2 - 10488287*v**2 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 19656817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684)*-1*1 + 5)*3.\nAnswer: -18*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -23 - 17?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*s + 28. Let c(u) = 8*u + 10. Let m(a) = 5*a - 3. Let p(k) = 4 - 5 - 314*k + 315*k. Let f(r) = m(r) - 4*p(r). Give s*f(x) + c(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (2 - 1) - (57 + -58).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 774 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 3*j**2. Let y(w) = -409761167*w. Calculate y(q(r)).\nAnswer: -1229283501*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 - 5. Let y(l) = -4*l - 3. Let i(b) = -61 + 29 + 36 + 159*b - 154*b. Calculate a*i(m) + 6*y(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 408 and 698808?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 38381168+-3.6494\nAnswer: 38381164.3506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 3*v - 2*v = -308, -2*r = -4*v - 658. List the prime factors of r.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - 36.642201156.\nAnswer: -26.642201156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-5\/3)\/o**18)**10 assuming o is positive.\nAnswer: o**(-590\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, y: 1, o: 3, e: 4, r: 6, t: 1}. What is prob of sequence toer?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36772 + 98982. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence izii when four letters picked without replacement from siiigigzaa.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9718038 and 12368412?\nAnswer: 136052532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 3*a**2 - 70*a - 3. Let p(u) = -17*u**2 + 351*u + 16. Give 2*p(q) + 11*v(q).\nAnswer: -q**2 - 68*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 123000 to the nearest 1000.\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -165, -502, -1093, -2004, -3301, -5050, -7317?\nAnswer: -10168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-160))\/((-2)\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12169008 is divided by 6084498.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -26500 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j = -3*j + 4. Let f = 74 + -80.7. Let o = 7 + f. Which is the closest to j?  (a) o  (b) 0.5  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -773456.4335 to the nearest 1000.\nAnswer: -773000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -3021446?\nAnswer: -3021442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t - 1. Let a(h) = 10*h - 1. Let v(w) = -a(w) + 3*o(w). Let g be v(-1). Let z(q) = -q**3 + 5*q**2 + q - 3. Determine z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.48 * 3.\nAnswer: 25.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-87 + 190 + 319 + 478)*(-2 + 3 + 5)*(2*o - 2*o + o)*(-1 - 2 + 4).\nAnswer: 5400*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -204 + b94?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -31 - -20 - (-1211 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10130 is divided by 5057?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 + 4*o - 28. Give l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -9*a + 44. Calculate l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32746 = -178*l + 185*l. List the prime factors of l.\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/339 and 6\/13.\nAnswer: 4407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -150 - 70. Let g = z - -264. Does g = 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 200 = 355. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*2\/((-8)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/2200 and -193\/3525984.\nAnswer: 88149600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 112201221000 (base 3) in base 10?\nAnswer: 290088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + -20 + 34081\/1384)*(-164)\/(-10)?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-14))\/(63\/588)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -6*a**2. Let s(g) = -g - 1. Let f(w) = -2*w**2 + 3*w + 3. Let j(l) = 2*f(l) + 6*s(l). Give j(p(v)).\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 624 and 320?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - 1 - -1 - (-27 - -28).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 201 + 130?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 13032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m + 30 + 6 = 0. Suppose 0 = -5*b - l - 3*l + 37, 0 = -5*b - m*l + 34. Solve -31 = b*t - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 705 and 1632545?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 81679215706 + -1?\nAnswer: 81679215705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(88)\/sqrt(8))**2*3.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 91660\/3 + -30553. Let n*q**2 + 8\/3 - 2*q = 0. Calculate q.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 128, -15, -0.01, -1\/2, -0.3 in ascending order.\nAnswer: -15, -1\/2, -0.3, -0.01, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 1:03 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8738735249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:01 PM and 12:01 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23 - -82 - 35) + -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(512) + 0)*-5 + sqrt(512) + sqrt(512))**2 + 2 - ((5*(sqrt(288) + 1 + sqrt(288) + sqrt(288))**2 - sqrt(288)) + 3)*-2.\nAnswer: 696*sqrt(2) + 30546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of 29*i**7\/70 - 40*i**3\/3 + 2*i**2 - 9. What is the derivative of r(h) wrt h?\nAnswer: 348*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 47618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 f when three letters picked without replacement from {x: 17, f: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17818 and 21712.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 + -2 - 43276\/44526. Let s = -2\/543 + p. Is 0 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/19, -5, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2377862321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-4 - -5 - 0) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 + 17. Let r be (-3)\/x*-12*2. Let n = 22 - 16. What is the highest common divisor of r and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 13101*b + 2866. What is the tens digit of k(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 minus -194540513168?\nAnswer: 194540513128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 4*w - 156 = 0, -2*f + 0*w - 52 = w. Let c be (-960)\/f + (-6)\/21. Let q = 12 + c. Calculate the common denominator of q and 22\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 319.122128 - -124081\nAnswer: 124400.122128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -12*l - 177. Suppose -37 = 4*y + 5*u + 16, -2*u + 57 = -3*y. Let r be z(y). Calculate the highest common divisor of r and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62917903 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, q: 9, n: 1, r: 6}. What is prob of sequence trqq?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as 5\/38534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 59027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 170 - -3 - 4\/((-8)\/(-6)). Let b = a + -165. Solve 0*x + b = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -9*d - 13. Let o = 68 - 77. Is 17 a factor of z(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -529 (base 15) to base 11\nAnswer: -969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (15\/((-390)\/(-13)))\/(-1). Does y = 493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 274*z + 240*z - 29298 = 0. What is the greatest common factor of 54606 and z?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1358072 and -0.3.\nAnswer: -1358072.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*g**2 - 7*g**2 + 5*g**2 - 1 in the form v*g**2 + d + o*g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(280) - sqrt(280))\/sqrt(10))\/(sqrt(8)\/sqrt(18)).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1612901 or 1612909?\nAnswer: 1612901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108479101 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13594548*a**3 - 4*a - 193625?\nAnswer: -81567288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of g**6\/120 - g**5\/56 - g**4\/28 + 10*g**3\/3 - 3. Let p(t) be the third derivative of m(t). Factor p(i).\nAnswer: 3*(i - 1)*(7*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -3*d. Let y(q) = 8367*q**2 + 4*q + 3. Determine i(y(g)).\nAnswer: -25101*g**2 - 12*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/(t*t**(-1\/12)))\/(t\/(t**(-36)*t)))**(2\/7) assuming t is positive.\nAnswer: t**(-419\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128 - 47 = -27*c. Sort 3, c, -2, -55.\nAnswer: -55, c, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/((20\/5)\/(-40)). Let q(y) = 2*y - 37. Let j be q(l). Let n(a) = a - 4. Give n(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 2*o + 0 = -7, -3*j - 3*o = 6. Sort 5, j, 0 in increasing order.\nAnswer: 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m**(-4\/21)*m*m))**(-1\/4)*m\/m**1*m*m**(37\/3)*m)**(35\/4) assuming m is positive.\nAnswer: m**(2035\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7904.981ug in grams?\nAnswer: 0.007904981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 3 = 4*u, 5*u + 23 + 7 = 5*r. Let a(w) = 3*w**2 - 5*w + 2. Let t be a(3). Let p = t - r. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -352 + -115. List the prime factors of (i\/(-3))\/(46\/138).\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -9, -5 in decreasing order.\nAnswer: -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4918137315.\nAnswer: 3, 5, 7, 13, 17, 211943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 228.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*y - 7*y + 2*n = -11, -14 = 2*y + 3*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 18*a - 513 + 1036 = 516, 5*a - 19 = -3*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 19349, 19350, 19345, 19328, 19293, 19234, 19145, 19020?\n\"Answer: -l**3 + 3*l**2 - l + 19348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-294)*126\/24*74\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 11 + 2*i - 18)*(5*i + 3*i - 7*i)*(-i + i + 2*i).\nAnswer: 4*i**3 - 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -12310 (base 4) in base 5?\nAnswer: -3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 74 - 73. Is -25\/301 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9527951.76 rounded to the nearest ten thousand?\nAnswer: -9530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 220713 is divided by 352.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -98 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 + 17*y + 8. What is j(-11)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 140 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)*1)\/sqrt(5)*4)**2 - (4*(-1 + sqrt(1053) + sqrt(1053)))**2.\nAnswer: -67200 + 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (15396\/(-18))\/((-2)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y + 2. Let f be h(-3). Let x be (-138)\/(-2 - (9\/(-2) + 1)). Let a = x - -87. Sort -2, 4, f, a in descending order.\nAnswer: 4, f, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**3*(c\/c**(-8)*c)\/c)\/((c*c**(2\/5))\/c)**47)\/((((c\/c**(-7))\/c)\/c**9)\/(c**9*c**9)) assuming c is positive.\nAnswer: c**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 111531312 and 1248?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -379, -340, -275, -184, -67, 76?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2\/4 + 136715*r\/4 + 136695.\nAnswer: 5*(r + 4)*(r + 27339)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 110405 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 24 = i + m, 5*i - 5*m = 0. Let u be (-3)\/(-4) - (-109)\/4. Suppose 3*p + p - 20 = 0. Solve p*t - u = i*b, -5*b + 2 = 5*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 + -16. Suppose 2*f = f + m. What is the remainder when 24 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 + -19b?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uooooou. Give prob of sequence oouo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2564*f - 2568*f - 4*l = 0, -4*f = -16*l - 100 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.441777 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*d**2 - 55*d**2 - 29*d**2 - 10*d**2 + 201*d**2 - 4*d.\nAnswer: 38*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z + 6*z - z + 32*z**3 - 4*z + 1 to the form n + j*z + t*z**2 + y*z**3 and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) -0.3  (b) -192  (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, -3, -1\/742, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 172971948 times -0.3?\nAnswer: -51891584.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1158, 1145, 1132, 1119, 1106?\n\"Answer: -13*p + 1171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 34364 (base 7) in base 2?\nAnswer: 10001001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyl when three letters picked without replacement from {l: 3, y: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/27192 and 151\/2328.\nAnswer: 2637624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of 13*y**5\/20 + 7*y**4\/12 + y**2\/2 - 732*y. Suppose 5 + 9 = -2*g. Let r(s) = 4*s**3 + 2*s**2. What is g*r(o) + 2*i(o)?\nAnswer: -2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2335 - 950. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 247400 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/24)\/(-5)*(-18)\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-1*6*(sqrt(6) + sqrt(18)\/sqrt(27))\/(sqrt(2)*-2*5)*-6.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {d: 9, u: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -809*t = -785*t - 360. Solve -8 = -34*c + 36*c, -g = -4*c - t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/217, 194\/9, 2\/9 in decreasing order.\nAnswer: 194\/9, 2\/9, 3\/217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 6344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 8:22 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 10:30 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y. Let n(o) = o. Let l(h) = -11*h. Let g(f) = l(f) + 5*n(f). Give g(p(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4110898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 4326.4322 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.63656 - -1.626. Round m to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 358 and 1287.\nAnswer: 460746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 272166, 544325, 816484, 1088643, 1360802?\n\"Answer: 272159*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 15) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 2*v**2 + 3*v - 13. Let f be g(4). Solve -2*o + 5*h + f = 2*o, 4*o = -2*h + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -67, -59, -45, -25, 1?\n\"Answer: 3*i**2 - i - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 130\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -189 + 18aba?\nAnswer: 18931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 4  (b) 1  (c) -2\/191  (d) -0.2  (e) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m - m = -196. Suppose 3*o - 4*z - 98 = 0, 4*o - 88 = -2*z + m. Is o < 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 87\/5 - 24\/(-40). Let w = u - 18. Solve w = 2*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 192 is divided by (21\/2)\/(230\/40 + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 AM and 9:17 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5958072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -33.2 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4.79 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52047.\nAnswer: 3, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, w: 3, p: 1, x: 1, g: 1}. Give prob of sequence jgpx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5.7 - 2. Let x = 4.7 - j. Let l = -12 - -7. Sort x, 5, l in decreasing order.\nAnswer: 5, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 595 is divided by 197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add -7.6 and 711.\nAnswer: 703.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2371 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27.96256 - -0.06344. Let t = 0.026 - v. Let p = t - -28.0000053. What is p rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (0 - -3) + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 624\/416*(-30)\/21*84\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31 + -11. Let g = 181 + -25. Suppose k = -k + g. What is the remainder when k is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 520 a factor of 146097050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.0589337 + -2.9410663. Let p(w) = -28*w - 1. Let m be p(-3). Put -1, s, 1, m in ascending order.\nAnswer: s, -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 221011201 (base 3) in base 15?\nAnswer: 5687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - 8*l**2 + 6*l - 13. Let h be b(7). Let y = -19 - h. Solve -2*x - 1 - y = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/46989?  (a) 2  (b) 1\/6  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -27*f**2 - 3. Let z(c) = 35*c**2 + 4. Let w(p) = -4*k(p) - 3*z(p). Let s(y) be the third derivative of -y**5\/15 - y**2. Determine w(s(g)).\nAnswer: 48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 20 = 5*x, r - 863 = x - 870 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61192 is divided by 8739?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of n**5 + 64266*n**4 + 2*n**3 - 122079144*n?\nAnswer: 20*n**3 + 771192*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l + 63. Let x(u) = -u + 21. Let a(y) = -2*t(y) + 7*x(y). Let v(h) = -h. What is v(a(m))?\nAnswer: 5*m - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.10498 >= -12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*w - 36968 - 170493. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 205212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 25914, 103677, 233278, 414717, 647994, 933109, 1270062?\n\"Answer: 25919*p**2 + 6*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -18*j - 7. Let s be o(-7). Suppose 4*a - m - s = -a, -29 = -a - 5*m. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29 + 28. Which is the closest to w?  (a) -4  (b) 4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -54150 (base 10) to base 7\nAnswer: -313605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 60819*s**3 + 729*s**2 - 2*s + 21?\nAnswer: 364914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - z**2. Let o(t) = t**3 - 3*t**2 - 4*t - 5. Let r(g) = -3*g**3 + 6*g**2 + 7*g + 9. Let u(y) = 7*o(y) + 4*r(y). Calculate -3*j(b) - u(b).\nAnswer: 2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + n**2 + n. Suppose 0 = 5*c + 3*b + 1, -4*c + 6*c = -b - 1. Let i be m(c). Let o = i - -11. Solve -o*h + 20 + 5 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 275 and 5423.\nAnswer: 135575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23043 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.7 in 1\/3, 0.5, -57.6, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2, -4*q + 2*w = -0*w + 28. Let l(c) = c + 12. What is l(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.18 - 7.18. Let s = 4 + m. Let p = -4.1 + 0.1. What is the smallest value in p, -2, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -25*b**2 - b - 4. Let n(p) = -24*p**2 - p - 5. Determine -4*n(q) + 5*v(q).\nAnswer: -29*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2708 - -2712. Solve 5*f + 9 = 5*d + 8*f, -2*f + 6 = -k*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 533183.1l in millilitres?\nAnswer: 533183100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xv when two letters picked without replacement from nxdennv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 + 4*h - 12. Suppose 0 = 5*g - 8 + 38. Let m be q(g). Suppose m = 5*x + 4*y + 14 + 3, -3*y - 8 = -x. Put 3, 4, x in descending order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -5 + sqrt(52)\/(sqrt(4) + sqrt(16)\/sqrt(4)))**2.\nAnswer: -9*sqrt(13) + 337\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 AM and 1:18 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*2*(-13725)\/(-3660)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 905034233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -493 (base 16) in base 7?\nAnswer: -3262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(1\/4)\/(-1). Let i be 64\/8 - (-10)\/(-2). Which is the closest to h?  (a) i  (b) -3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -377 - -48. Let l = w + 328.8. Put l, 0.2, 11 in descending order.\nAnswer: 11, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1684489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(1\/7)*w)\/w)\/((w\/(w\/w**(-14)))\/w))**(1\/9) assuming w is positive.\nAnswer: w**(113\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 9*z**3 - 8*z**2 - 9*z + 24. Calculate the remainder when d(4) is divided by 89.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -82.2.\nAnswer: 41.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1033904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 1314291.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - -5) + 2 + -8 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (15\/(-10))\/((-3)\/(-2)). Is 13\/13 + (-974)\/f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1863031667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (154645 - 6558*b - 154645)*(-2*b + 0 + 0) to the form g*b + r + s*b**2 and give s.\nAnswer: 13116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 + d**2 + 6*d - 257. Let c be i(0). Is -259 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 71.6869896 - 71.637. Let v = -0.05 + j. Round v to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-712)\/(-1157))\/((-56)\/(-154)).\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*u**4 + 1666*u**3 + 67255*u**2 wrt u.\nAnswer: 192*u + 9996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 6. Suppose 0 = -x*v + 2*v + 28500. What is v rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/5 or -137\/6025?\nAnswer: -137\/6025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aoa when three letters picked without replacement from aavno.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 7. Suppose 10*l - p*l = 61. Suppose -l = 2*y - 235. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i - 5. Let p be v(3). Solve n + 1 = -p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1002 (base 5) to base 13\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 455\/(-65) + (-2)\/4 + 82\/4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19769?\nAnswer: 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2030, -4069, -6104, -8135, -10162?\n\"Answer: 2*k**2 - 2045*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1043*929\nAnswer: -96.8947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/1*(-2 - -2). Let n = 8901 - 9419. Is (-1)\/(-1) - (n + q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53200*o - 2*o**3 - 53200*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 32*s + 24*s - 6 - 49*s - s**2. Let b be j(6). Suppose b = -2*k + 2*d - 42, 5*k - 4*d + 172 - 65 = 0. Put 1, -3, k in ascending order.\nAnswer: k, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2431527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 5*t - 11, 2*k - 7 = k + t. Suppose k*s + 156 = 6*s. Suppose s = -3*x + 148. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y + 101. Give d(-13).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**2 - 93 - 24 + 127 - 20*l + (3*l + 2*l - 4*l)*(2*l + 2*l - 2*l).\nAnswer: l**2 - 20*l + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 4*j - 118 = 0, -3*j - 108 = 42*s - 34*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rdja when four letters picked without replacement from {d: 4, a: 2, j: 1, r: 1, p: 3, g: 1}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1872, 1939, 2018, 2115, 2236, 2387, 2574?\n\"Answer: o**3 + 60*o + 1811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**2*f*(f\/(f\/f**4)*f)\/f)\/(f**(-1))**(-7)*(f**(-1)\/f)**(-4)\/(f**0)**(-11\/7) assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 = -28*j + 24*j - 3*c, -3*j = -c - 60. Solve 2*w - 5*y - j = 0, -2*y - 3*y = -5*w + 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 966 + -91776\/95. Let h be ((-15)\/(-4))\/(-3 + (-3330)\/(-1104)). What is the common denominator of 3\/(3 + (-1)\/(h\/555)) and z?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 6  (b) -0.3  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 13*c + 135. Let m be f(-8). Calculate the highest common factor of m and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18847, -37630, -56403, -75160, -93895?\nAnswer: -112602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -146208 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110011111011 - -110?\nAnswer: 10110100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -922916706129 and 1.\nAnswer: -922916706128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 4*k + 538, -4*k + 122 = 3*i - 2*i. Calculate the highest common factor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 7*w**2 - 5*w - 2. Let d = 15 - 9. Suppose 2*o = 12 - d. What are the prime factors of s(o)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from itpliox. Give prob of sequence tlpo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 1 - 9. Suppose 5*x - o*b = 78, 4*x - 2*b - 58 = -b. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p - 296 + 14. Which is smaller: p or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.1, -6.\nAnswer: -6, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/(-4))\/(-20 + 23 - (-100)\/(-32))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 5*b - 2 = 0. Let u be b\/((-9)\/6 - -2). Suppose 0*t + 3*t - 191 = 2*y, 3*t - u*y - 187 = 0. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y\/(y\/(y\/(y**1*y)*y))*y)**(-1\/5))**(-4\/21)\/((y*y**2*y*y**(3\/5))\/(y*y**(2\/3)\/y*y*y**(-3))) assuming y is positive.\nAnswer: y**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17487.\nAnswer: 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.22612832 to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -855\/4 - -180233\/844. Calculate the common denominator of -61\/9 and x.\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0121621506 to six dps.\nAnswer: 0.012162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*u**3 - 51*u**2 + 82*u wrt u?\nAnswer: -12*u - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 135 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-24))\/(123\/(-738)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13456 and 7424.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -97869 times 974\nAnswer: -95324406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) - (3 + 2*sqrt(176))) + sqrt(176) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -144112 - -331?\nAnswer: -1439a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 200807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2169?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7026522 by 113331.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/((n\/(n**(-4\/3)*n))\/n))\/(n*(n*n*n\/(n*n**(-8\/7)*n))\/n*n))\/((n*n*(n\/(n\/n**3))\/n*n)\/(n**(-1\/11)*n*n)))**(-27) assuming n is positive.\nAnswer: n**(11574\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 + 14. Let a be -1 + 5 + h + -3. What is the units digit of (-6)\/(-27) + a*429\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*b - 33*b + 273 = 0. Let v be (-6 + b\/(-6))*(-1 - -3). Suppose -3*u - 2*u = -15. What is the highest common divisor of v and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzfyfzfzzzzfizzzyyi. Give prob of sequence ii.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 32\/280*(-10)\/4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) 4\/7  (c) -0.691  (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 166663966 rounded to the nearest 100000?\nAnswer: 166700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/9)\/(4 + (-147)\/36). Solve -j = g + 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 6, g - 143 = -3*i + 140. Suppose -i = -3*x - 4*d, d - 20 = -x + 2*d. Let n(m) = m**3 + 6*m**2 + 2. Let z be n(-6). Solve -z*c - 3*c = x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -4\/3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-9) - (-34)\/9. Suppose -4*v + 8 = j, -v + j + 2 = k*j. Suppose -3*h - 1 = -l, -4*h = l - v*l + 2. Is -1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b - 2. Let s(u) = -2*u + 2. Suppose -36*q = -65 + 209. Calculate q*n(m) - 5*s(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(80)*-3)\/sqrt(8) - sqrt(10) - sqrt(10))\/(-2*sqrt(18)))**2 + -4.\nAnswer: -19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -680*j**2 - 685*j**2 + 1371*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -67  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**5\/5 + 12*g**4\/5 - 48*g**2\/5 - 48*g\/5.\nAnswer: 3*g*(g - 2)*(g + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 749100 rounded to the nearest 10000?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 42*x + 6. Let o(n) = -176*n. Calculate c(o(a)).\nAnswer: -7392*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 7*r**2 - r - 3. Let a be x(-7). Suppose 2*m - 4*m + a = 0. Solve 5 = -u - 5*c + 2*c, -m*u = c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3401 <= 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 + 7*k**2 - 25*k - 11. Let n be x(-9). Suppose 47*u - n*u = -845. Calculate the highest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 10*q**2 + 7*q - 39. Let y(z) = -7*z**2 - 5*z + 26. Let a(l) = -5*m(l) - 7*y(l). Let s(h) = 2*h**2. Give a(s(o)).\nAnswer: -4*o**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*f + 3*f + 1300. Suppose -132*k + 500 = -f*k. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of y**4\/6 - 107*y**3\/3 - 402*y**2 + 49*y. What is the derivative of m(t) wrt t?\nAnswer: 4*t - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 514 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -14\/9, -2\/3, -1, 0.179?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1231140 - 3*p - 1231140.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 137 + 1?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 131*v - 2164 = 127*v. Let b = 846 - v. What is the remainder when b is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 3*r**3 + 5*r - 18*r + 4*r**3 - 5*r**3 to w*r**3 + u + n*r + x*r**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -36550513 and -0.3?\nAnswer: 10965153.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + 3*j**2)*(-47*j + 60*j - 1 - 44*j) as i + x*j**3 + p*j + g*j**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (9\/(-2) - -2)*-8. Calculate the remainder when (8\/(-5))\/((-8)\/q) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4255903*l**4 - 2506128*l**2 wrt l?\nAnswer: 102141672*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/5, -7, 5\/149, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4511 + -4513. Which is the closest to -3?  (a) r  (b) -1\/7  (c) 9  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.72 - -2.7215. Round w to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x**3 - 48*x**2 + 51*x + 39. What is the lowest common multiple of h(-25) and 888?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -133.2 - 169. Let f = 302 + x. Which is the fourth smallest value?  (a) -0.4  (b) 3.9  (c) f  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1733 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuussuus. What is prob of picking 3 s?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -385901 * 1.134.\nAnswer: -437611.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7036352*j**4 - 16202*j + 182.\nAnswer: -84436224*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 298, 600, 902?\n\"Answer: 302*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) -35\/3  (b) 0.3  (c) -12  (d) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -96 + 177. Let w = y + -81.000082. Round w to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {e: 4, w: 4, i: 4, h: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9775 = -q + 20125. What is q rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 207?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 687*p + 692*p - 1204*p in the form n*p + y and give n.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*b**3*j**2*l - b**3*j**2 + 244*b**3*j + 2*b**3 - 39*b**2*j**2*l wrt l?\nAnswer: -6*b**3*j**2 - 39*b**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 + 10*h - 19. Determine d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 66305 (base 7) to base 3\nAnswer: 211210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -167 - -169. Solve 0 = -3*r + q + 3, -m*r - 4*q - 12 = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67646*a**3 + 67879*a**3 - 135523*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11382 and 33278?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/98 and -4\/5929.\nAnswer: 11858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28059370 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47584 is divided by 5287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 558807705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46095 = -5*u - 30*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of h**6\/345 + 4*h**5\/115 + 8*h**4\/69 + 19*h. Let c(v) = 0. Calculate v.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 46 - -41. Let q = k + -33. Calculate the remainder when q is divided by -2 - (-15 - (3 - 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190559 is divided by 190510?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 879061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-260)\/(-100) + -1*(-6)\/(-10). Let r(u) = 1 - 1 + u**2. Determine r(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - -2935879b?\nAnswer: 29358796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/(-4) - (-18)\/((-360)\/10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*w - 7*w - 3*j + 2 = 0, -5*w = -5*j + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 - ((51 - 37) + -27) - -46?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 922073208 and 18?\nAnswer: 2766219624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 4*l = 142, -l = -2*w - 4*l + 138. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x + 6. Let p be h(6). Let b = -231\/4 - -58. Solve 1\/4*k**3 + 0*k - b*k**2 + p = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((115\/1840)\/((-2)\/(-114)))\/((-357)\/(-1428)).\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - v + 64 = 0, z + 2*v + 46 = -3. Calculate the remainder when (z\/1)\/(2 - 3) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59991898 times 0.5?\nAnswer: 29995949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -27181\/21814 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 9:54 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 7. Let p be 5 + (0 - -4 - z). Let u = p - 5. Is u smaller than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 591 + -590. Which is smaller: -4\/1681 or b?\nAnswer: -4\/1681","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*i = 49*i - 4. What is the nearest to -2 in -0.03, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (856\/160 - (-6)\/15) + 15\/(-20). Which is the second biggest value?  (a) 0.5  (b) f  (c) 2790\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3  (b) -2\/13  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 157*v - 15244. Calculate l(97).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54 and 11340?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {m: 1, z: 6, u: 3, p: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 25 + -34 + (-6)\/(-72)*124. Let m(y) be the first derivative of 0*y**2 - f*y**3 + 5*y - 17. Differentiate m(w) wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1897 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 AM and 6:49 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1056545536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13910 is divided by 188?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 7*u - 126 + 546 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t - 149. Let w be y(0). Let c be 2\/(3 - (-634)\/(-210)). Let f = c - w. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 PM and 10:30 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -16*z + 3. Let p(n) = 399*n - 76. Let c(i) = -76*l(i) - 3*p(i). Let d(o) = -2*o. Determine d(c(t)).\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 50\/27?  (a) -5  (b) -2\/7  (c) -4  (d) -1\/14  (e) 90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -8*r**2 + 10*r - 5. Let p(g) = g**2 - 2*g + 1. Let y(t) = -c(t) - 5*p(t). Let x(j) = 11*j**2. Give x(y(m)).\nAnswer: 99*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-369)\/(-246)*(-4)\/(-4). Factor 0 + o*d**2 - 15\/2*d.\nAnswer: 3*d*(d - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -71  (c) 10241  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 6 = -0. Suppose -s + m*s = -5*n - 2, 2 = s + n. What is the common denominator of 47\/2 and s*4\/(48\/110)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6347, 12803, 19371, 26051, 32843, 39747?\n\"Answer: 56*l**2 + 6288*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y - 11. Let c(p) = -23*p + 998. What is the least common multiple of l(-9) and c(43)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 3:40 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -60*g**3 - 11*g**2 - 4 + 11*g**2 + 33*g**3 with respect to g.\nAnswer: -81*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7700026.\nAnswer: 2, 3850013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 77448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 + 68340*y - 683473. Determine x(10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 14 = -l. Let b(o) = -4*o**3 + 4*o**2 + o - 2. Calculate the least common multiple of l and b(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1677868807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1934 is divided by 1840?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/33 + (-100)\/550?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -0.2  (c) 2\/3  (d) -5\/6  (e) 8  (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5 = -6*z, -z = -2*k + 15. Suppose -15 = 2*q - k*q. Solve -2 = -q*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*i + 255 - 136 = 137 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n**2 - 3*n + 1. Let i(l) = -l**3 - l**2 + l. Let k(s) = i(s) - t(s). What is k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -51, 4, -0.1, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -211102001100 (base 3) to base 14.\nAnswer: -b6a5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = 2*l + 1198 - 1203, -5 = -3*l - 4*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*t - 5*t - 10*t - 12752*t**2 + 12811*t**2.\nAnswer: 59*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -187501*w**3 - 3*w**2 + 4*w + 1. Let l be s(-4). Suppose -4*o - 16000005 = -5*p, 0*p + p - l = 3*o. What is o rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -27*l**4 + 183*l**3 - 120*l**2 - 36*l = 0.\nAnswer: -2\/9, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 323 + -88. Let f = k + -137. Suppose 5*r + 4*y - f = -31, -5*r = -5*y - 40. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-40)\/16*-22*1. Let n = a - 33. Suppose x + 0*x - n = 0. What is the least common multiple of x and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -20*k**2 - 2330*k + 1138. Determine z(-117).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 415863771 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minus 4?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 3*g**2 + 1. Let x be f(1). Let v(j) = -j**3 - 7*j**2 - 2*j - 8. Let o be v(-7). Suppose 0 = -o*t + x*t + 10. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -3*m**2 + 517*m + 10076. Determine v(190).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1978 + 1977. Which is bigger: 12\/1795 or h?\nAnswer: 12\/1795","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 85997, 85993, 85987, 85979, 85969, 85957?\n\"Answer: -l**2 - l + 85999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 23264, 46538, 69810, 93080, 116348?\n\"Answer: -f**2 + 23277*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 134625 - 5?\nAnswer: 134620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-2)*11\/(-33))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 PM and 6:47 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 12:36 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -478 - 0.4.\nAnswer: -478.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 841622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*o - 733 = -1461 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142842 is divided by 543.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01653236 rounded to 4 dps?\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*r = -20*r. Suppose 43*m - 51*m = r. Let t(b) = -b**3 - 2. Let p be t(-3). Solve m = a + 4*a + p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3*6\/(-12)*99832\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 3:45 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrgrgrrrrrrrrg.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.47 rounded to two dps?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 8) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 11:56 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 276014582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*h - 1 + 1)*(-420*h**2 + 256*h**2 - 448*h**2 + 2 - 312*h**2) to i*h + x*h**3 + v*h**2 + o and give x.\nAnswer: -6468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*n**2 - 9*n**2 + n**3 + 2*n**2 as g*n + w*n**2 + f*n**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**3 - 39280*b**2 + 314368*b = 0. Calculate b.\nAnswer: -19648, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 13. Let c be (2 + 36\/(-15))*w. Suppose -m = c, 0*f - 4*m - 19 = -3*f. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 472 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 11\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -4 + -15 + -3 + 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.5 + 2.5. Which is the biggest value?  (a) -2.9  (b) i  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 134300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/8, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 925715?\nAnswer: 5, 7, 26449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 735\/42*(1*(0 - -6) - 4). Let q be 53\/2 - (-1)\/(-2). Suppose w - 3 = 0, 3*w = 4*i + i - q. What is the highest common divisor of j and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 5*m**4 + 5*m**3 + 6*m + 77. Let l(k) = 6*k**4 + 4*k**3 + 5*k + 76. Let a(x) = -5*f(x) + 6*l(x). Find the first derivative of a(s) wrt s.\nAnswer: 44*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37 - -73 - 19 - 43\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30011 - -1?\nAnswer: 30012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -52*q**2 - 648*q. Let j(u) = -11*u**2 - 129*u. Let b(x) = -3*h(x) + 14*j(x). Factor b(p).\nAnswer: 2*p*(p + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 43 - 11*v + 53 - 105 + v**2. Let t = -10 + 22. Let n be q(t). Solve 2*h = -j - 3*h - 20, n*h = -15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from pkfqwqpwzkfpfp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 35604450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/2)*v)**17*(v\/v**(2\/3))**26*(v*v\/v**(-1))**(-8)*(((v*v**(3\/7))\/v)\/v)\/(v**(-1\/8)\/v) assuming v is positive.\nAnswer: v**(1801\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-838)\/(-2514)*15\/6\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 2*s**3 + 634*s**4 + 4*s**2 - 2*s**2 + 29 - 636*s**4 + 8 to n*s + g*s**4 + a + m*s**3 + t*s**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 3. Let d(s) = s**2 - 3*s - 3. Let n be d(3). Let z = n - 2. Does 14 divide v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -l - 5*q, 69 = -4*l - q + 53 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 22 + ((-536)\/90 - (-60)\/(-1350)). Solve -t = q - 423*c + 420*c, -2*c = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14888 (base 10) to base 3.\nAnswer: -202102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -501.1 and -7.\nAnswer: 3507.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*u**3 + 4 + 0 - 4.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5 + -2 - (2 + 1). Suppose 3*i - 4*i + 1 = f. Solve 4*o + i = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00321134 rounded to 5 decimal places?\nAnswer: -0.00321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 12*h**2 - 2*h - 7. Suppose 10 = -0*d - 5*d. What are the prime factors of i(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -i + 2. Let r(a) = a. Suppose -24 = -2*c - 5*k, -5*k = -3*c + 7 - 21. Let j(b) = -2*b**c - 2*b + b + 3*b. Calculate i*j(n) - 2*r(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s. Let i(p) = -5*p. Give -3*i(o) - 5*l(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 413.674 to the nearest integer.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 - 33. Let g be (23\/3 - 1)*p\/(-5). Let f(i) = i + 10. Let s be f(-6). Solve 3*m + s*o = -22, -5*o - g = -0*m + 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of 66*r**5\/5 - r**3\/3 + 13*r**2\/2 + 70*r + 1. Find the second derivative of y(i) wrt i.\nAnswer: 1584*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26751 + 381. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t + 13. Let v(x) = x - 11. Let r = 27 - 22. Let g be v(r). Let k be o(g). Put k, -0.2, -2\/5 in ascending order.\nAnswer: -2\/5, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3*o**2 + o + 2. Let n be d(-2). Suppose -l + 2 = 2*u - 1, 5*u = -l + n. Solve 0 = -3*k - 3*s - 12, 4*k + 13 + 2 = -u*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2041767?\nAnswer: 3, 7, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 12 + -42021?\nAnswer: -42007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 601243 and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*c - 10*c - 10*c**2 + 7*c**2 to the form z*c**2 + l + b*c and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 1. Suppose 2*g + k = 24. Calculate the remainder when 46 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of h**8\/2240 - h**7\/630 + h**6\/360 + 5*h**4\/24 + 3*h**2. Let z(q) be the second derivative of y(q). Is 34 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 695561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 0 + (3 - 2). Suppose -13*q + 8*q = c. Let x be (-6 + q)*40\/(-60). Is 6 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*y - 39 + 39 to o*y + g and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -6*i + 1. Let r be b(1). Let l be (3*2)\/(-3) - r. Let q be (0*1\/l)\/(-2). Solve k + k = q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -806, 7, -57 in decreasing order.\nAnswer: 7, -3, -57, -806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000911019977 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (31*a + 116*a + 106*a)*(-4 + 4 - 1)*(3*a - 7*a + 3*a) to d + t*a**2 + u*a and give t.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 97*d - 16. Let w(x) = -2*x**2. Calculate h(w(b)).\nAnswer: -194*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + o = 44986 - 45000, 3*c - 7*c = 5*o + 22 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 3*r - 69, -4*r - 126 = -4*k + 126. Let q be 6*(-5)\/k*-10. Solve -5*u + 0 = q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uulullllllll. What is prob of sequence ull?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*u - 1)*(-3 + 8 - 1)*(-u - 3 + 3).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -0*m - 5*m - 498, -494 = -4*y + 3*m. Let q = y + -71. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18367 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than 1024?\nAnswer: 1024.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -25894, -23466, -21038, -18610?\n\"Answer: 2428*s - 28322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 2) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2720 and 643705.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 161 = -c. Is c <= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ollooogldlgrlrdlllf. Give prob of picking 1 d and 2 r.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2 + x**3 - 2*x**3 + 2*x**2 - 5*x - 7*x**2. Let v be ((-14)\/(-21))\/(2\/(-6)). Let y be v + (-5)\/((-15)\/(-6)). What is d(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 134379118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101001011100 + -111001?\nAnswer: 101000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (430*f - 430*f - 30*f**3)*(5*f + f - 3*f) in the form v*f**3 + s + g*f + b*f**2 + l*f**4 and give l.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/(-14))\/(13\/(-182)). Which is the smallest value?  (a) g  (b) -0.1  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -93 - 123c?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 PM and 11:03 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-28)*n*n\/(n\/(n**(-1\/10)\/n)) assuming n is positive.\nAnswer: n**(-281\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4873\/18, -2\/5, 3, -14\/3.\nAnswer: -4873\/18, -14\/3, -2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w + 3*w - w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2136*r**3 + r**2 - 7*r + 100?\nAnswer: 12816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 216377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-seven quarters of a millimeter?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 468524273?\nAnswer: 7, 79, 569, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 296a (base 16) in base 13?\nAnswer: 4a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 339 + -672. Let s = 338 + f. Let x be 1*((-3 - 0) + 0). Which is the fourth smallest value?  (a) s  (b) 2\/3  (c) 0.4  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 10*i = 7*i - 9, -43 = -5*a + 4*i. Let p = 45 - 26. What is the second biggest value in -1, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -251*b + 105 = -244*b. Solve 5*x = -t - b, 2*x + 2*t + 6 = -0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*d**4 + 145*d**3 - 155*d**2 - 145*d + 150 = 0. What is d?\nAnswer: -30, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -35 (base 13) to base 10\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 15*b - 21. Let z be (-1 - b)\/(1*3\/(-8)). What is the greatest common factor of z and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 - 2 - 4)*(o + 3*o - 2*o) + 3*o + 2*o - o)*(-2 + 7 + 7) in the form z*o + r and give z.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1\/3 - (-19)\/(-12) - -2\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -544875\/2 + 272436. Let r(c) = c - 15. Let y be r(7). Put 1\/8, -0.4, g, y in decreasing order.\nAnswer: 1\/8, -0.4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + h - 13623 = 24295, -15151 = -2*g + 5*h. Suppose -12*o - 275 + g = 0. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 3. Let g = u - 3.8. What is the second biggest value in g, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - x - 2 = -5, -b = 5*x + 23. Suppose -2*y = 2*y - 4*n, -n + 9 = b*y. Let i = y + 0. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93548*u**2 - 93548*u**2 - 7*u + 9*u**3.\nAnswer: 9*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.74 * 145.6\nAnswer: 107.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 60*l**2 + 5*l + 8. Let p be y(6). Suppose 12*f - p - 12706 = 0. Suppose 5*k - 1463 - f = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1405195054021+-322\nAnswer: -1405195054343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m**2 - 25*m + 25. Let u be f(1). Let i(o) = o - 16 - 2*o + 2*o - 3*o**2. Let x(a) = a**2 + 5. Let w(z) = 2*i(z) + 7*x(z). Calculate w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 6 - 1 - 245*c + 5 - 2 to the form g + d*c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0019 times -4.9?\nAnswer: 0.00931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, n: 1, b: 1, p: 3}. What is prob of sequence rp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -26.3 + -27.081\nAnswer: -53.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 247, 3, 98, 165 in ascending order.\nAnswer: -4, -3, 3, 98, 165, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -49*q**3 + 17*q**3 + 0*q**4 - 3*q**4 + 28*q**2 + 7*q**4.\nAnswer: 4*q**2*(q - 7)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2332, -4729, -7128, -9529, -11932, -14337, -16744?\n\"Answer: -u**2 - 2394*u + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3428 in 2\/11, -4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - 18 - (-4 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-6)\/(-20))\/3)\/((-6282)\/(-5235)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyy. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18) + -1 - sqrt(20)\/(-1*sqrt(10))) + (sqrt(4)\/(-1*sqrt(2)) - 2*sqrt(288)))**2.\nAnswer: 42*sqrt(2) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**2 - 2*j**2 + 559606 - 559558.\nAnswer: -j**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(3*(sqrt(171) + (1*sqrt(171) - sqrt(171) - sqrt(171))) + sqrt(171) - sqrt(171)))\/(sqrt(27)\/sqrt(48) + -6*sqrt(36)\/sqrt(4))*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11613 and 21.\nAnswer: 11613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together 274.1 and -2023.\nAnswer: -1748.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -722421 divided by 103203?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 50*g**6 + 8*g**4 - 13913*g**3 - 5*g**2 - 3*g - 1016029.\nAnswer: 6000*g**3 + 192*g - 83478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 252*c**5 - 67853*c**4 - 540963*c**3 + 148348*c**2 + 34380*c - 8864 = 0.\nAnswer: -8, -1\/4, 2\/9, 2\/7, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10317\/11 + 1\/11. What is the greatest common divisor of 28 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 24 = 2*s - 12, 0 = 3*s + f - 34. Suppose -m - 13 = -4*x, -4*x = -4*m - 26 + s. Is (34\/3 - 2)*x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - l = -3, -45*l = 10*k - 49*l - 177 + 189 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of 1\/10*g**5 + g**2 + 0 + 0*g**4 - g + 0*g**3. Differentiate m(w) wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/5 of a century in years?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 PM and 3:39 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.5 - 22.5. Let r = 9 - v. Let b = r + -31.00042. Round b to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-180)\/360*348\/6.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6136390 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4975\/2 - 67195\/27. Calculate the common denominator of g and (8\/(-44))\/(630\/(-7665)).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes after 12:22 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3414?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125 is divided by (-124)\/(-6) - 3\/(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*g - k = 31, -5*k - 20 = 0. Let s = 128 + -29. Calculate the greatest common divisor of s and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46356 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 4*n**2 + 6*n - 9. What is the tens digit of m(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 43 + -13. Suppose o = u - 5*t, 4*t - 34 = -5*u - 0*t. Suppose s - u = -4*s. Solve 5*v + 0*x = s*x - 1, v - 2*x + 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 5*q**3 + 37*q**2 + 4*q - 12. Let h(t) = -t**3 - 9*t**2 - t + 3. Let o(m) = 9*h(m) + 2*k(m). Give o(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0\/1)\/(-1) - -3. Let d(k) = -k**3 - k + 0*k**2 + 3*k**2 + 2*k - 2. What is d(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27594*k**2 + 2*k - 27587*k**2 + 2*k - 4*k.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 PM and 10:00 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - k - 5008 = 0, 0 = -2*k - 8. Let w = s + 2335. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -1\/3, -4\/9, 1129\/2, -3, 7\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 3*j - 39 = 0, 3*j + 15 = 8*j. Let p = c + 11. Let s = p + 13. What is the remainder when 34 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3265088 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 2 - 5. Suppose 2*t = a - t - 6, -57 = -f*a - 4*t. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 - 12. Which is greater: t or 8\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -18*h + 184. Let y be f(10). Suppose -12*i + y = -20. Factor 0 - 3\/2*g + 1\/2*g**i.\nAnswer: g*(g - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*a**4\/9 + 100276*a**3\/9 - 93096980*a**2 + 2332916954396*a\/9 + 4669186202344\/9 = 0. Calculate a.\nAnswer: -2, 8357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4*d - 64 = 0, 2*s + 2*s - 5*d - 73 = 0. Is s > 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001613432 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 51*i**3 + 193*i**2 + 10*i + 5. Let g(u) = -10*u**3 - 2*u**2 - 2*u - 1. Calculate 5*g(x) + w(x).\nAnswer: x**3 + 183*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 - -221058.4580449.\nAnswer: 221062.4580449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - 1.5. Is 1\/2 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l\/l**(-1)))\/l)**(-16)*l*(l*l**(-4\/7))\/l*l\/(l*l\/(l*l\/(l\/l**(2\/17)))))\/((l**(-2\/7)\/l)**(-15\/4)\/((l**(2\/3)\/l)\/l*l**(2\/9))) assuming l is positive.\nAnswer: l**(114013\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2\/9, 4, 9.\nAnswer: 2\/9, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 14, 3 in ascending order.\nAnswer: -3, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 802.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 (base 11) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-4)*(-3 - -5). Let q = -12 - -8. Let c be o\/10*5\/q. Sort -0.1, c, -5 in descending order.\nAnswer: c, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-39)\/36 - -1)*2. Let f be 9\/(-4) - (-12 + 1281\/140). Which is the third biggest value?  (a) v  (b) -11  (c) f  (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 726371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14 + 15 - b - 68 + b - 2*b + 3*b + (3*b - b - 4*b)*(4 - 2 - 3).\nAnswer: 3*b - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 + -21. Sort -0.2, z, 7 in decreasing order.\nAnswer: 7, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 720768496.\nAnswer: 2, 7, 19, 338707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2*n**2 - 16. Let z(g) = -6*g - 2. Let w(x) = 13*x + 4. Let i(k) = -2*w(k) - 4*z(k). Calculate o(i(c)).\nAnswer: 8*c**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/(-2)*10\/5. Suppose -3*g + n*w + w + 28 = 0, 20 = -5*w. Suppose g*p + 2*y - 1180 = 0, -4*p + y + 3*y = -1156. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55293.1 - 5371498\nAnswer: -5316204.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22*68\/2618 + (-300)\/14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 81\/272098 and 19\/15318.\nAnswer: 56324286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iivi when four letters picked without replacement from vvvvvvvvvivi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of -r + 0 + 0*r**2 + 1\/6*r**3. Let p(m) = 3*m**2 - 5*m**2 + m**2. Determine y(p(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 19 and 32.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23 - 2*a**3 + 5*a**2 + 2*a**4 - a**4 - 6 - 5*a**2 - 2*a**2 - 2*a to the form q + r*a**4 + u*a**2 + z*a + t*a**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3*f**3 - 6*f**2 + 6*f - 25. Is b(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 98160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7787 + 32829. What are the prime factors of c?\nAnswer: 2, 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(117) + -5*sqrt(117)*-1))**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1020311536 + -35?\nAnswer: 1020311501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.429842*4.\nAnswer: 25.719368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dbbpdbdd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.033 + 0.967. Sort -3\/2, -73, s in decreasing order.\nAnswer: s, -3\/2, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 4*4\/16 - (-765 - -863).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 2*t + 8, -3*t = -2 + 14. Solve -4*w - 2*l - 16 = o, 1 - 5 = 2*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2760 + -1318. List the prime factors of s.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-3 + (sqrt(1331) + 1)**2)*-4*-3*5*-2.\nAnswer: 15840*sqrt(11) + 956880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Solve 25125 = 490*d + 4660 - 1095 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/11*f**2 - 5084\/11 - 462*f.\nAnswer: 2*(f - 2542)*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*f - 1 + 2*f + 5*f)*(21*f**2 - 134*f + 134*f)*((-2 - 3 + 4)*(0 + 2 + 1) + 0 - 2 - 3).\nAnswer: -336*f**3 + 168*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -7*f**2 - 2*f + 1. Let h(r) = 3*r**2 + 15*r + 1. Let d be h(-8). Let x = d + -68. Let p = 6 - x. Calculate v(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/4?  (a) 326  (b) -16\/9  (c) -2\/9  (d) -0.08  (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -31?  (a) -12  (b) 488  (c) 0.5  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 55 + 349*f - 30 - 25 in the form a*f + k and give a.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6572*v + 13324*v - 6662*v = -6480 for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 20998*p + 21002*p + 142 = 0, -1 = v + 9*p for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 562503 is divided by 80355.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, 5, -11\/7, 2\/11, 3\/4?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30 - -51. Suppose 168 = 3*n + r. Calculate the remainder when n is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/20 + (2200\/375 + 4\/30)\/56?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3866 and 2.\nAnswer: 3866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(468) + ((sqrt(468) + sqrt(468)*-3)*2 - sqrt(468)) + -4)**2 + (-3 + sqrt(468) + -4)**2 + 4)*1.\nAnswer: 108*sqrt(13) + 8025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19045 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5611 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-14) - 10*(-4)\/336\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103086?\nAnswer: 2, 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -190 = 5*v + 185 - 390. Solve -4 = -v*m - 5*w + 18, 0 = 3*m + 2*w - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3520242067 - 34603.\nAnswer: 3520207464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 130 - 40444212?\nAnswer: -40444042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 11, q: 2}. Give prob of sequence xq.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -919, 28, -2, 1\/56 in ascending order.\nAnswer: -919, -2, 1\/56, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - j + 33636, 0 = -5*v - 24*j + 23*j + 168192. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 28190*w - 84568. Calculate s(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 346 divide 19777311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 680084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (118 - 145) + ((-1 - 3) + 8 - -5 - 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b + 10. Let l be v(5). Let t(a) = a + 1. Let u(g) = -g**2 + 5*g - 5. Let c(p) = -t(p) - u(p). Let s be c(6). Is s greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42 - (135 + -64 - 107).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*c**2 + 17*c**2 - 2*c**3 - c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - sqrt(171)*4) + sqrt(19) + sqrt(38)\/sqrt(2)*-4 + ((1*sqrt(304))**2 + -1)*-3.\nAnswer: -909 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -2*t + 476, -2*t + 220 = -t + 4*f. Suppose -2*z + t = -r - 3*r, -339 = -3*z + r. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 145956549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1457 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/15 + 4 - 6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -4028 (base 11) to base 9\nAnswer: -7308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of -c**7\/840 + c**5\/240 + 15*c**2. Solve r(m) = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -13 - -12 - -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -274, -119, 456, 1457, 2890?\nAnswer: 4761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7913?\nAnswer: 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -100010111111 (base 2) to base 12\nAnswer: -1367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1223 + -105121?\nAnswer: -103454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -104996, -4\/69 in ascending order.\nAnswer: -104996, -4, -4\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of 7*z**5\/6 - 11*z**4\/24 - 10943*z**3\/6 - 9413*z**2. What is the derivative of l(r) wrt r?\nAnswer: 140*r - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (11336608\/(-24))\/(-46)*(4 + -1)?\nAnswer: 2, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1326*z**4 + 2405*z**3 - 41529*z**2 - 720 wrt z.\nAnswer: 31824*z + 14430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.101 and 29.85025.\nAnswer: 3.01487525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 12:52 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-72)\/(-32))\/(2\/16). Let x be (-2)\/(-4) + 3\/m. Let j = 22.3 - 26.3. Which is the second biggest value?  (a) j  (b) 0.4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660.1849 milliseconds in microseconds?\nAnswer: 660184.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**5 - 2*s**3 - 5*s - 2. Let p(c) = 2*c**5 - 5*c**3 - 10*c - 5. Let i(v) = -5*g(v) + 2*p(v). Find the second derivative of i(t) wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 134*j + 56 = -127*j, 16 = -4*k + 2*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s - 3*s + s + (2*s - 2*s + s)*(0 - 1 - 1) + 5*s + 0*s - 2*s - 5*s + 3*s + 3*s - 12*s + 0 + 11*s + 6 - 5 - 143*s + 284*s - 140*s.\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 12*j + 66. Suppose -3*r - 3 - 3 = 0. Let b be j\/8 + r\/(-8). What is the second biggest value in b, -4\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4792, 4854, 4916, 4978, 5040, 5102?\n\"Answer: 62*z + 4730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 452 - 452. Suppose 5*l - 5462 = -2*f - z*l, 4*l = -2*f + 5466. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12\/72 - (-7)\/42. Let z(s) be the second derivative of 0*s**3 + p*s**4 + 0 - 8*s + 7\/2*s**2. Find the first derivative of z(n) wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 26.4 and 0.4.\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4131 and 3672?\nAnswer: 33048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4}. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 6, q: 4, b: 2, u: 2, o: 2, p: 1}. Give prob of picking 1 p, 1 x, and 1 u.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 (base 13) in base 8?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 46241 - 46241.00029603. What is f rounded to 6 dps?\nAnswer: -0.000296","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 23194.176 from 1753465.\nAnswer: 1730270.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u**2 - 87*u + 189. Let b be p(-32). Suppose i + 2*i + 4 = -2*z, -5 = z. Sort -5, b, i in ascending order.\nAnswer: b, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d - 1. Let w be ((-10)\/(-6))\/(3 - (-65)\/(-30)). Let c(j) = 24*j + 33. Let k(u) = w*s(u) - c(u). Is k(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g**16)*g**(-3\/2)*g)\/(g**(-17)\/(g\/(g**16\/g))) assuming g is positive.\nAnswer: g**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5684 + -5684.6886. Let l = -0.0114 + t. Which is the third biggest value?  (a) -0.5  (b) l  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 9, 33, -3, 23.\nAnswer: -3, 4, 9, 23, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 3:22 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -208.9 - -209. Are 2\/43 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 7:31 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2*b + 120 - 125)*(2 - 6 - 4)*(-2 + 2 - 2) in the form c*b + u and give u.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (0 - 3) - -8 - (-1 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3949 = -0*m - m + 3*t, -3*t = -3*m + 11859. Suppose 0*u - 5*u = -m. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-3)*z)\/(z\/(z\/((z*z*z*z**9)\/z*z)))*z**(1\/6)*z*((z**8\/z)\/z)\/z*z assuming z is positive.\nAnswer: z**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/5)*h)\/h**(2\/5)*(h**(-2))**(-33))**(-17) assuming h is positive.\nAnswer: h**(-5678\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1736 is divided by 124.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 17*o**2. Let a(f) = 10*f**2. Calculate r(a(s)).\nAnswer: 1700*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 542031533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -677, -178, 325, 832, 1343?\n\"Answer: 2*d**2 + 493*d - 1172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -5*a**3 - 3*a**2 + 31*a. Let o(r) = 11*r**3 + 7*r**2 - 63*r. Let x = -3521 + 3528. What is x*c(w) + 3*o(w)?\nAnswer: -2*w**3 + 28*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 + 0)*(-3*i + i + 0*i) - 308*i - 403*i + 1 + 799*i + (3*i + 4*i + 0*i)*(5 - 4 - 3) to d + b*i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - ((-31 - -38) + -37).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -36*c + 4775. Let m be n(56). What is the highest common factor of m and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*c + 145*c - 732 = -2*r, -r = 2*c - 18 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6340.9 and -3?\nAnswer: 19022.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (-7 - -1)) + 7 - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 560 + -566 - (-48 - (8 + (3 - 20))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + x + 5 + (-2*x + 0*x + x)*(-1 + 3 - 4) + 3*x + 0*x - 5*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 + 795*o**2 - 4070*o + 4920.\nAnswer: 5*(o - 3)*(o - 2)*(o + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 4  (b) -1  (c) 0.4  (d) -6  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 3:05 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i = 57776 + 8500. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -527100 to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 105939432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -3*p**2 - 63*p + 54. Let l(x) = 3*x**2 + 67*x - 54. Let n = 794 + -798. Let c(f) = n*j(f) - 3*l(f). Factor c(g).\nAnswer: 3*(g - 1)*(g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 7*p**3 + 5*p**2 + 8*p - 44. Let r(i) = -8*i**3 - 6*i**2 - 8*i + 45. Give -5*r(o) - 6*x(o).\nAnswer: -2*o**3 - 8*o + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2957135789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 8*v - 10 + 1 + 0 + 5. Let s(a) = -15*a + 7. Give 11*k(j) + 6*s(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 247414, 494832, 742254, 989680, 1237110, 1484544?\nAnswer: 1731982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 + 10*k**2 + k - 8. Suppose -2*v - 20 = -4*v. Let a be s(v). Let d(g) = g**2 - 6*g**2 - 3*g**a + 2*g**2 + 1. What is d(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 443998957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 26093 - 6?\nAnswer: 26087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 4*g + g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 216\/(-60)*(-20)\/8. Calculate the greatest common divisor of 12 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 534, 2129, 4788, 8511, 13298, 19149, 26064?\n\"Answer: 532*z**2 - z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36384 and 11652.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dmd when three letters picked without replacement from dddmdddmddd.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7377 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -7*x - 2. Let r be d(-3). Let g = r + -9. Calculate the lowest common multiple of g and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -194 = -964\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - ((-3 - -12) + (0 - 7) + 7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -42?  (a) 0.4  (b) -0.37  (c) -90  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31646369?\nAnswer: 47, 673327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4980 and 3?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-638)\/116)\/((-1)\/(-4))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 + 6*i**2 + i - 1. Let j be n(6). Suppose -3*r - 868 = -j*p, -p = p - r - 347. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, -10, -1, 1.00693?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18952 divided by -9476?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*k - 4 + 43 + 33 wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of -v**5\/20 + 13*v**4\/12 - v**3\/2 - 9*v**2\/2 + 9*v. Suppose 9*m = 11*m - 26. Let s be l(m). Round s to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(16\/3))**(3\/35)\/(q**23*q**11) assuming q is positive.\nAnswer: q**(-1174\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 219\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -69488\/943 greater than -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 380 plus 147?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(((-36)\/(-45))\/4*150\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4599 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: Convert 11020 (base 3) to base 5.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26979, 107682, 242107, 430254, 672123, 967714, 1317027?\nAnswer: 1720062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 101097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 2 + 16 - 11*p**3 - 32.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2705 - 2714. Let y = 187.8 + -188. Let q = 1.2 + -0.2. What is the biggest value in f, 2, y, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 120\/43?  (a) -3\/8  (b) 5  (c) -2\/57  (d) -0.3  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 - 3*n**2 + n. Let p be d(3). Suppose k + p*c = -c + 12, 5*c = -5*k + 15. Suppose 0 = -r - 0*h + h + 7, -r - 4*h + 22 = k. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (75\/9 - -1) + 26\/39. Calculate the highest common factor of 20 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -181 in 576, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*a = -15*a - 14. Let l(s) = s. Determine l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 7\/39?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -35. Let n = 18 + d. What is the units digit of 2 + -2*n\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 25?  (a) 10  (b) -0.2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f - 7. Let l be b(0). Let i(u) = u**3 + 6*u**2 - 7*u - 4. Let c be i(l). Let d be 8\/(-6)*c*(-3)\/(-8). Solve -3*x - 4 = -v, 2*v - 8 = 5*x - d*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36a8 (base 12) to base 8\nAnswer: -14040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -492*i + 247*i + 253*i. Let b(g) = 34*g**2. Give b(x(v)).\nAnswer: 2176*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 + 16. Let z = s + 17. Solve -z*i - 11 = -10*i - 2*l, 2 = -l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 9 - 27. Let n be (s\/(-8))\/(3\/8). What is the nearest to 0.1 in 1, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 - -8743360.\nAnswer: 8743360.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zeg when three letters picked without replacement from {g: 3, z: 4, r: 1, u: 2, o: 1, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*i + 13*i - 165 = -18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.4 in -0.1, 3.9, -1\/2, 3\/2, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1256 + -1235. Solve -5 = 22*i - z*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + (-1 - -3))*1. What are the prime factors of 10 - (-1 + 2)*r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, 27, -7\/15, -47, 21 in decreasing order.\nAnswer: 27, 21, -7\/15, -26, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 6, -2*u + 0*u - m = 99. Let o be 1\/3*2718\/u. Let c = o + 4833\/340. Calculate the common denominator of c and 3\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -208064, -416091, -624138, -832205, -1040292?\n\"Answer: -10*i**2 - 207997*i - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 22764.\nAnswer: -68292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2925\/7, 0.8, -50?\nAnswer: 2925\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 21 = 2*q. Let g = -4 - q. What is the lowest common multiple of g and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -328864, -329009, -329152, -329293?\n\"Answer: t**2 - 148*t - 328717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1737230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 3*j = -5, 0 = -2*f - 2*j - 11 + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13352507*u**2 - 55649*u - 31.\nAnswer: -26705014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96\/133200*-15*(22 + -27).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -4*b - 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c + 2. Let p be j(2). Suppose m - 3*m - 2*b = -4, 3*b + 3 = p. Solve 5*y - v + 11 = m*v, 0 = v + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8217?\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3349 - 0.98351466834.\nAnswer: -3349.98351466834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -1. Suppose 6*g + 60 = 11*g. Let n be 8\/g - (-1)\/(-3)*-13. Solve -h + 2 = n*k - 2*h, 3*k + u = 4*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*d + 12*d + 16*d - 96 + 425 - 44*d.\nAnswer: -8*d + 329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1582*b**5 + 2*b + 491?\nAnswer: -31640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 + 41*l - 209. Calculate t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -b**3\/9 + 5*b**2\/9 + 2*b\/3 = 0. Calculate b.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -458 by -3.\nAnswer: 458\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -5*i. Let y be g(-1). Suppose -5*h + 0*h = 0, m + h + 7 = 0. Let k = m - -11. Solve k*u + 15 = u - 4*v, 8 = -y*u - v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 374*p + 4122. Let z be c(-11). Solve 0 = -j + 2, -32*j = 9*h - 36*j + z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -3*f**4 - 59400*f**3 - 293911176*f**2 + 1176357600*f - 1176595248 = 0?\nAnswer: -9902, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**3 - 11*m**3 + 6*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2. Let v(w) = -4762*w. Determine v(k(l)).\nAnswer: 4762*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 6*j + 7. Let b(a) = -a**3 - 3*a**2 - 2*a. Let z be b(-1). Suppose 3*h - 4*h - 5 = z. Let q(o) = -3*o - 3. Calculate h*q(p) - 2*g(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*z + z + 21*z**3 - 5*z.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -861*u**2 + 62845*u + 599. Give d(73).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v + 175*v**2 + 17 - 319*v**2 - 17 + 135*v**2.\nAnswer: -9*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-98)\/(-196))\/((-5)\/(-58)) - 9?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0224 times -0.3?\nAnswer: 0.00672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14906060?\nAnswer: 2, 5, 13, 57331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -818025 at least -818025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 - 22*y + 82. Let m be w(17). Sort -1\/8, 0.1, m, 3 in ascending order.\nAnswer: m, -1\/8, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1239757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 135414 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8457 is divided by 8409.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 969965*s**2 - 1940123*s**2 - 2 + 969981*s**2.\nAnswer: -177*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*h + 353 = -41*o - 2*o, 3*h - h - 3*o = 2*o + 121 - 122 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*q - 4*q + 4 - 14*q + (-6 + 5 - 9)*(-2 - q + 2) to b*q + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 + 24*h**2 + 22*h - 532. Let i be k(24). Which is the biggest value?  (a) i  (b) -2  (c) -57  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7851\/4 - -1983. Find the common denominator of ((-21)\/(-11) - 2)*(-344)\/16 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001381 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*w + 8. What is the derivative of 9*b**2 + 5*b**3 + 5 - w*b**2 wrt b?\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38\/(-133) + -5 + (-44)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-50)\/4)\/(5810\/(-4648)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 828 a factor of 3061838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 61909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-14))\/((-807)\/7532).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 271 = -1. Let j = 48 - h. Let y = -5 - j. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 248.983 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggf when three letters picked without replacement from {z: 2, f: 1, g: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3*q + 0)*(2 - 2 + 3) - 29*q - 16 + 16 - 2*q - 12 + 11*q - 8*q.\nAnswer: -19*q - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 202 - 3?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 8*m + 8. Suppose 3*y - 5*y = -2. Let f(g) = 1. Let u(n) = y*j(n) - 6*f(n). Calculate the remainder when 26 is divided by u(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 84 and 7581.\nAnswer: 30324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 0, 2*x + 12*g - 8*g = 100. Let o = -57 - -200. What is the remainder when o is divided by x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-5) + (-42)\/30. Let u be 3 - (5 + 0 - 0). Is y at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/15)\/(24\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -111 + 114. Which is the fourth smallest value?  (a) r  (b) -1  (c) -4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27.04 - -0.04. Let y = x + 26.984. Round y to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 69687 and 32841.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 21*a**3\/5 + 30243*a**2\/5 + 64716*a\/5 + 8628\/5 = 0.\nAnswer: -1438, -2, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ruii when four letters picked without replacement from iiiuirurrr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddf when three letters picked without replacement from {f: 5, d: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7632.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 - 14*q - 29. Let u be b(-10). Let w(o) = 26*o + 36. Does 14 divide w(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -57.2 - -57. Let x = 743\/9 - 85. What is the second smallest value in s, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42468063 is divided by 5308505.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6584, -6581, -6578, -6575, -6572?\nAnswer: -6569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -4523, -4517, -4511, -4505, -4499?\n\"Answer: 6*n - 4529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 5. Suppose -5*b + 53 = x. List the prime factors of 4\/b - 116\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3635349*u**4 + 1206135*u wrt u.\nAnswer: -43624188*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2590 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.097 + 61.45\nAnswer: 61.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -0.011.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 2*l = -j - 97, 3*l + 282 = -3*j. Let k = j - -158. What is the remainder when k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, d: 9}. Give prob of sequence udu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*l - 9*l. What is the hundreds digit of (-74)\/((-1)\/(-1)*2\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**4 - d + 3*d + 32*d**2 + 10*d**3 + 90*d**2 - 19*d**2 - 8*d**3 to the form q*d + i*d**4 + h*d**3 + u + f*d**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -22 + ((-10661)\/(-273) - 18) and -11\/2?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5826281961+-5\nAnswer: -5826281966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 582706321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4*(-2 - -3) + (151 - 5). Suppose -t = -2*c + 1304. Does 34 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 158190 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 12 = 0, -3*k = 3*o + 45 - 69. Sort -4, -173, o, -2 in descending order.\nAnswer: o, -2, -4, -173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43015 (base 6) to base 16\nAnswer: 16d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(304) - (5 + sqrt(304) + -1)**2) + 4 + sqrt(304)*-2)*2.\nAnswer: -3160 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 12 - 3*b**2 + 10*b**2 - 21 + 14. Let t(v) = 3*v**2 + 2. Let p(n) = -2*d(n) + 5*t(n). Let j(o) = 43*o**2. Give j(p(f)).\nAnswer: 43*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 101642*o**4 - 13*o**2 + 12*o - 93398 wrt o?\nAnswer: 1219704*o**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 4)*(-2 + 4 - 1)*((2 - 3 + 0)*(2*y - y + 0*y) + (-412*y + 494*y - 477*y)*(-2 + 5 + 5)).\nAnswer: -9483*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 14*u - 36. Determine o(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + -15500?\nAnswer: -15508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5273321.\nAnswer: 241, 21881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -55\/4, -1112.925, 1?\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 267023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 5*i - 4*s + 12, i + 5*s = 13. Differentiate i - 4*q**2 - 6*q**2 + 2*q**2 wrt q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and -126329.\nAnswer: -126329.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 16782.103 to the nearest 100.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7616*x - 5434 wrt x.\nAnswer: -7616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 5)*(4 - 4 + 3*q) + 3*q - 3 - 5*q - 33.\nAnswer: 19*q - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3138 - 12547\/4. Which is the third smallest value?  (a) 0.5  (b) k  (c) 0.1  (d) -19.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-660)\/18)\/(-11))\/(5\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342404 to the power of 1\/2, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/3, 2188, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 231232217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -38709210 and 1.\nAnswer: -38709210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -931*u**2 + 5 - 5.\nAnswer: -931*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -7*q**2 - 49*q - 18. What is k(-9)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -182*t + 37. Let k be a(5). Find the common denominator of -89\/4 and (k\/45)\/(12\/(-10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 3 + 4)*(0*r - 2*r + 3*r)*(-3 - 1 + 3)*(1 + 4 - 3) in the form j*r + k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28473, -0.1, 26, -1, 0.2, 2\/3 in increasing order.\nAnswer: -1, -0.1, 0.2, 2\/3, 26, 28473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -18*r**5\/23 - 120*r**4\/23 - 50*r**3\/23 + 140*r**2\/23 + 40*r\/23 - 48\/23 = 0.\nAnswer: -6, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/34580 and 1\/23455614.\nAnswer: 234556140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1240 (base 6) to base 2.\nAnswer: 100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 804066629 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 - -c8?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-5)*13)\/((1008\/(-105))\/(-24))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.046 - 4.354. Let x = i - 40.6. Let l = x + 45.0000285. What is l rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7648708*-4.\nAnswer: 30594832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -7*a**3\/3 + 7*a**2\/2 - 8*a. Let l be u(-2). Solve -4*d - 2*w = 3*w + l, 0 = -4*d - 4*w - 32 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 2) + (-19 + 24 - 1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s - 6. Let j be l(9). Let t be ((0 + j)\/12)\/((-3)\/(-24)). Suppose o + 4*a + 11 = -0*o, 13 = o - t*a. Put -9, o, -1 in decreasing order.\nAnswer: o, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -h**2*j*u - 2636719*h**2*j + h**2*x + 2*h*j*u*x + 3*h*j*u - 2*h*x - 7*h + 39433*j*u*x + 2*u wrt h.\nAnswer: -2*j*u - 5273438*j + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*s - 3*s + 12*s - 15*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5450096?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -80577*v - 80518*v - 5*v**3 - 8*v**3 + 160781*v as h*v**3 + i*v + t*v**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 3*k = 14, -3*m + 5*k - 1 = -60. Suppose -m*w - 21 + 47 = 0. Solve 5*h - w = -22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6516275.\nAnswer: 5, 260651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 910441648 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -7*(-1)\/(-28)*-8. Solve q*i = 3*g + i + 12, -4*g + 5*i = 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -2*a - 4*l, 5 = -a + 6*a - 4*l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (4 - (9 - 7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/64*4*(9 - (-26 - 57))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: -27 (base 8) to base 12\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2975 + -839. What are the prime factors of z?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*a - 6*a - 135. Calculate the smallest common multiple of 21 and a.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 2*u**2 - u - 3. Let b be y(2). Let k(i) = 6 - 8*i + 41*i**b - 25*i**3 + 9*i**2 - 17*i**3. Give k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.029 and 0.097663?\nAnswer: 0.068663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*t + 27 = -75 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*r**2 + 142*r**2 + 61*r**2.\nAnswer: 236*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15363 + 21624. Does 315 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(1\/3)*d)\/(d\/(d*d\/(d\/((d*d**(-2\/7))\/d))*d*d)))\/(d**(-2\/25)*d**(-11)))**16 assuming d is positive.\nAnswer: d**(118672\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -12*l**5 - 1059228*l**4 - 1059219*l**3 - 264804*l**2 = 0.\nAnswer: -88268, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -1180884370 to the nearest one million.\nAnswer: -1181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(1539))*1)**2.\nAnswer: 18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + 3 - 1\/1. What is the first derivative of -w*m - 3*m - 4*m + 5*m - 14 wrt m?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 443 - -6 - (2 - 2 - 3). List the prime factors of 0 + (-9)\/(6 + -3) + s.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-793 + 2137 + 901 + 1445)*(-14*d - 7*d**2 + 14*d) to the form j*d**2 + a + m*d and give j.\nAnswer: -25830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 5 = -6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 + 8*i + 11. Let s(u) = u**2 + 8*u + 10. Let g(y) = -4*o(y) + 5*s(y). Give g(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*h + 12 = 48*h. Let q(l) = 2*l - 1. Let w(o) = 3*o - 2. Give h*w(g) + 5*q(g).\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10 + -1222?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20913 + 29996. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 131?  (a) 5  (b) 0.0346  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i, 0 = -2*d - 162*i + 161*i + 260. Calculate the greatest common divisor of 286 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-5))\/(12\/20). Let h = -1\/3 - n. Determine y, given that h*y**3 + 0 - 1\/3*y**2 - 2\/3*y = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3590\/69 + -52. Let l = 52\/207 - q. Let h = -9 + 5. What is the closest to l in -0.2, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 602 + -611. Let b = 445\/18 + -49\/2. Sort 4, b, g.\nAnswer: g, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/165, -2, -40 in decreasing order.\nAnswer: 2\/165, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j - 115 = c, -50*c + 5*j = -47*c + 85 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*s - 1156 = 215*s + 59 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = 2*t - 1, -t + 2*d + 1 = -0*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - k - 3 = -4*k, 0 = -4*g + k - 1. Suppose g = j + 3*j - 28. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 63 (base 7) to base 16\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1260496 less than -112974600?\nAnswer: -111714104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -29.49 times 6574\nAnswer: -193867.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from {y: 2, s: 1, r: 4, a: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1188, 1184, 1172, 1152, 1124, 1088, 1044?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 3\/4, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u*u**(-6)*u)\/u**(-22)*u*(u*(u\/u**(-7\/8))\/u*u)\/u*u**(-6\/17) assuming u is positive.\nAnswer: u**(3063\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -118 + 188. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7 and 12680666.\nAnswer: -88764662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -772098*x - 6948897. Determine d(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34563, 69124, 103685?\nAnswer: 138246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 2 + 1)*(2*f + 0*f - 5*f) + 0*f - 4*f + 3*f + 4*f - 3*f - 3*f)*(-14 - 8*f + 7 + 8) - 2*f**2 - 6*f**2 + f**2 as m + u*f + z*f**2 and give z.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/6))**(13\/7) assuming k is positive.\nAnswer: k**(13\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from khkh. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7989.\nAnswer: 3, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5956.6 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**3 - 1822*l**2 + 1822*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -208 - -235. Suppose 19*b + 328 = u*b. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l + 15. Let b(h) = h**2 + 7*h + 13. Let r be b(-7). Let q be f(r). Sort q, -5, -1.\nAnswer: -5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 PM and 11:07 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -12, -24, -70, -168, -336, -592?\n\"Answer: -3*j**3 + j**2 + 6*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {f: 15, m: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -6*j**2 + 2238*j + 3. Let r(b) = 2*b**2 - 762*b - 1. Give 4*d(m) + 11*r(m).\nAnswer: -2*m**2 + 570*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 97 - 92. Suppose -s + 1 + 1 = 0. Let z be s*(-1 - (-4)\/8). What is the nearest to z in 2\/13, 1, i?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -145*b**2 + 145*b**2 + 154*b**3 + (-5 - 3 + 5)*(-3 + 2 + 3)*(10*b**3 + 7*b**3 - 8*b**3).\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 3*k + k)*(-455*k - 651*k + 949*k).\nAnswer: -785*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-29\/4)*h)\/h**(-1\/5)*(h*(h**(-16\/9)\/h*h)\/h)\/(h**(-9\/2)\/h) assuming h is positive.\nAnswer: h**(-419\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((-3*sqrt(171) - sqrt(171)) + -4 + sqrt(171)))**2.\nAnswer: 2592*sqrt(19) + 55980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 117*o + 715*o + 896*o + 328*o in the form h + f*o and give f.\nAnswer: 2056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -147 + 233251.\nAnswer: 233104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-2*sqrt(396) - sqrt(396)))**2 + ((sqrt(110) + sqrt(110) + (sqrt(110) - 2*sqrt(110)))\/sqrt(10))**2 + 1.\nAnswer: 89112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16409 and 538.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0143 and 146.9758.\nAnswer: 2.10175394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.017*-0.1\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 25 = 9. Suppose 1452 = -35*u + 9*u + 147*u. Solve o*y - u*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 p when three letters picked without replacement from {c: 3, p: 5, r: 3, e: 3, v: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = 2*c - y + 3, -4*y = -4*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -10  (b) -506  (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10 - 17?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/9100 and 181\/416430?\nAnswer: 54135900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14.6 - 15. Which is the closest to 1.2?  (a) 1\/5  (b) y  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence udic when four letters picked without replacement from cdtcuddctiicu?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - sqrt(117))*1*-5.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + ((-2)\/(-4))\/(6\/84). Let l be (-2)\/p - (-1435)\/1476. Which is the nearest to 0.05?  (a) l  (b) 2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6077877686*q**2 - 6077877683*q**2 + 12155755368*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32937051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/31 bigger than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 5. Let b(g) = -g**3 + 4*g**2 + 6*g + 2. Let c be b(f). Find the second derivative of 4*o + 0*o**4 - 6*o + 2*o**4 - c*o**4 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 - -46. Let w = 866 - 2644\/3. What is the common denominator of w and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(2\/5))**(-32\/5)\/(q**8*q*q**7\/q)*q\/q**8*q\/(q\/(q*q\/(q\/((q\/q**3)\/q))*q))*q*(q*q**(-4))\/(q\/(q\/q**(-2\/15))) assuming q is positive.\nAnswer: q**(-2153\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -4*f**5 - 83420*f**4 + 1001832*f**3 + 4506712*f**2 - 11685220*f + 6260100 = 0.\nAnswer: -20867, -5, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q**(-2\/9))\/(q**(-2\/9)\/q))**27*((q\/(q*q**(-1)*q*q))\/q**(-6))**(-2\/27) assuming q is positive.\nAnswer: q**(2177\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1020 and 330.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8080459 micrograms in milligrams?\nAnswer: 0.0008080459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 90671.46 nanograms in grams?\nAnswer: 0.00009067146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*y - 14*y - 17*y)*(-10 + 10 - 2 - 4*y).\nAnswer: 28*y**2 + 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*2*sqrt(119))\/(-1*sqrt(567)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -k + 11. Let w be (-1 - 42\/k)*2. Solve -5*z - 4*i + 2*i = -w, z - i = 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of -71*h**5\/120 - 17*h**4\/12 + 12*h**3 - 3*h**2 + 2*h. Let f(r) be the first derivative of c(r). Differentiate f(i) wrt i.\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/4)\/(6\/8). Let g(a) = 2*a - 4. Let c be g(l). Solve c = -6*z + 3*z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (447\/1043)\/((-4725)\/90)\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -5*s - 7. Let q(g) = 2*g + 3. Let y(w) = 14*q(w) + 6*v(w). Suppose 2*d = -4*j - 2, 3*d = 3*j + 5*d + 4. Let x(f) = -j*f + f - 2*f. Determine y(x(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m**3 - 3*m**2. Let s be n(2). Let x be (2 + (-16)\/10)\/((-50)\/1500). Let g be 11\/(x\/s + 4). Solve 0 = 3*y - g + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1993.1 + 1993.2. Which is the closest to l?  (a) 10\/7  (b) -0.2  (c) -5  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l - 15. Let k be f(-9). Suppose -8\/3*c - 2\/9*c**k + 16\/9 + 4\/3*c**2 = 0. Calculate c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rro when three letters picked without replacement from rrrorrrrro?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s**5 - 138*s**4 + 524*s**3 - 312*s**2 - 304*s = 0 for s.\nAnswer: -38, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i - 57. Let r(z) = -z + 29. Calculate -4*g(p) - 10*r(p).\nAnswer: 2*p - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14026*l*w**3 - l*w - 5*w - 51 wrt w.\nAnswer: -84156*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 1 = 13. Let n(g) = -g**3 - g**2. Let r(j) = -4*j**3 - 2*j**2. Calculate m*n(y) - r(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 14698*z. Let r(g) = g**2 - 4841. Determine t(r(x)).\nAnswer: 14698*x**2 - 71153018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -70*w + 80 + 60. Let k(q) be the third derivative of 1\/3*q**3 + 1\/4*q**4 + 0*q + 0 - 2*q**w. Differentiate k(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) 7  (b) 5  (c) -0.1  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, e: 3, a: 3, g: 3, p: 1}. What is prob of picking 1 p and 3 g?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21 and 5468134.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1361 and -14.703?\nAnswer: 20010.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2)\/13 - 1215\/(-39) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 24400, 48646, 72892, 97138, 121384?\n\"Answer: 24246*j + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3502, 7056, 10610, 14164, 17718, 21272?\nAnswer: 24826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -g + 37 - 56 + g**2 - 16 - 121 = 0. What is g?\nAnswer: -12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2062 + 0?\nAnswer: -2062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 2*(-1 + sqrt(1872)*-2 + sqrt(1872) - ((sqrt(1872) - ((sqrt(1872) + 0 + sqrt(1872))*3 - sqrt(1872))) + sqrt(1872) + sqrt(1872))))**2.\nAnswer: -96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of q**8\/588 - 2*q**7\/105 + q**6\/35 - 11*q**2\/2 + 32*q. Let m(u) be the first derivative of c(u). Solve m(a) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 686512*s + 686468*s - 1372980*s + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4 + (sqrt(242) - -4*(1 + sqrt(242))) + 4*(-2*sqrt(242) + sqrt(242))*-5 + -5).\nAnswer: 18 + 1650*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*-1*(2 - 0). Let i be 2*(27 + 1025\/(-41)). Sort i, x, -8 in increasing order.\nAnswer: -8, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/2)\/((-1)\/(-8)). Let p(m) = -m**3 - 4*m**2 - 5*m - 4. Let z be p(-3). Suppose -z*c = -3*a - 3, c - a = 4*c + 1. Sort d, 5, c in descending order.\nAnswer: 5, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gmgm. Give prob of sequence gmm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -16*w**3 + 37*w**2 + 64*w - 89. Give t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1083.9 rounded to the nearest ten?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51193*r = 51455*r - 11790 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(180) - (-3 + (sqrt(180) + 0 - sqrt(180)) - sqrt(180))) + 2 + 1 + sqrt(180) + 5)*-2)**2.\nAnswer: 1584*sqrt(5) + 6964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3*(-4 - -5 - 0). Suppose 1057 = -2*j + x*q, 3*j + 0*q - 3*q + 1587 = 0. What is the tens digit of ((-4)\/(-10))\/((-4)\/j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 254 and 39751?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5 = -0*t, 2*i - 41 = -5*t. Suppose -f - 4 + 6 = 0. Suppose i = w - f. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/6296777 and -39\/1354.\nAnswer: 12593554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1592*j*n*o + j*n - 2*j*p + n*o*p - 185*n*p - 2*p wrt o?\nAnswer: -1592*j*n + n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + o = -5 - 15, -o = 5. Let g = 9 + q. Suppose 0 = 6*z - 0 + g. Which is greater: -1\/2 or z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q. Let u(i) = 1 + 13*i + 22*i + 12*i - 36*i. What is f(u(v))?\nAnswer: -11*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 4*g - 21, 4*n = 2*n + 2*g - 8. Solve 2*r + n = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eight sevenths of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-35) + 130\/(-2275). Solve 3*t**2 + f*t - 3\/2*t**3 + 0 - 3\/2*t**4 = 0 for t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1452 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000007116 rounded to seven decimal places?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1\/9 - 1\/18. Let p = 9 + -11. Suppose 8 = 2*v + 2*k, 4*v - 2*k - 23 = k. What is the nearest to p in v, 2\/11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3 - 108041*f**2 + 1945045*f - 1837003.\nAnswer: -(f - 17)*(f - 1)*(f + 108059)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 34e4 (base 16) to base 14\nAnswer: 4d12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 2 = 0, 0*d - 4*d + 129 = a. What is the tens digit of (1 - -2) + d\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 13 = -8*o - 4*w, 0 = -4*o - w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of ((-360)\/10)\/((-2)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/7 - 12*m + 126.\nAnswer: 2*(m - 21)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of -x**8\/1176 - x**7\/105 - x**6\/35 + 2*x**5\/105 + 4*x**4\/21 - 597*x**2. Determine n so that z(n) = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-10) - 14\/(-10). Let y = -247\/7 + 35. Which is bigger: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12022 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -248*o = k - 257*o + 17, 3*k - 5*o = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 3*k - 60 = 0. Suppose 45 - k = -5*w. Let u(j) = -2*j - 3*j + 6*j + 6. Calculate u(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 2 - (-44 - (-71 - -32))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 167, 3, 1, -146, -4 in decreasing order.\nAnswer: 167, 3, 1, -4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - 211?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 256 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*l**2 + l**2 - 7*l**2 + 3*l**2 - 5*l**2 + 4*l**2 + (0 - 1 + 0)*(2*l**2 + 3 - 3) + l**2 + l**2 - l**2 to v*l + i*l**2 + y and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*h**3 + 2 - 1 + 145*h**3 + 0 - 66*h**3 in the form y*h**3 + d*h**2 + o + l*h and give y.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -142d - 3e?\nAnswer: -146b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 1214467*l - 13359142. What is m(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1.43 times 12.2792\nAnswer: 17.559256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*c - 12*c + 2*x - 137, 0 = 4*c + 3*x - 104. Suppose l - 37*f - c = -32*f, -2*l + 5*f = -48. Solve -i - 23 = 5*d, 5*d + l = -3*i - 0*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, -2\/571, 354, 2\/5 in decreasing order.\nAnswer: 354, 2\/5, -2\/571, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 4*y**2 - y - 2. Suppose 0 = -u + z - 4, -3*z + 7 = 2*u - 0*z. Let b(g) = -34 + 35 - 174*g**2 + 340*g**2 - 165*g**2. Give u*s(w) - 2*b(w).\nAnswer: -w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -3, 43\/13, -4.\nAnswer: -4, -3, 1\/4, 43\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -53. Let t = g + 39.3. Which is the smallest value?  (a) 1  (b) 0.2  (c) t  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 354*w - 2128. Calculate g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -89 + 87. Suppose -4*z + 18 = 2. Calculate the least common multiple of (g - -10)*15\/6 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 20*d - 5. Let p(r) = 3*r + 17. Let w be p(-5). Let u be h(w). Let v = u - 26. What is the least common multiple of 13 and v?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73188 is divided by 331.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 - 9*n**2 + 20*n - 24. Calculate y(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - 147*x**2 - 1121*x + 920. Calculate f(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3702, -5843, -9412, -14409, -20834?\nAnswer: -28687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -d. Suppose d = -4*o + 9 + 11. Solve -o = -6*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -q + 3. Let s = q + 1. Suppose 5*a + 41 - 436 = s. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u + 6*u - 4*u)*(-601*u + 152*u + 142*u + 136*u + 139*u)*(11 - 1 + 0) to s*u**2 + k + b*u and give s.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d**3*t - d**3 - 155*d**2 + 342*t**4 wrt t.\nAnswer: 2*d**3 + 1368*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 2\/3  (c) 0.2  (d) -0.2  (e) -12.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n + 140. Let g = 55 + -38. What is the hundreds digit of c(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 - 11. Suppose -3*d - 5*k = 72, 0 = -5*d - 2*k - 131 + 11. Let x be d\/(-5) - (-1)\/5. Solve p + 0*p - x = c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mimimm. Give prob of sequence iiim.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14350 - -15462. Calculate the remainder when g is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w + 1 + 6*w - 18*w**2 + 19*w**2. Is z(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u - 4*u - 5*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1847.200785 rounded to one dp?\nAnswer: 1847.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -479*x**3 - 80*x**3 - 68*x**3.\nAnswer: -627*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of b**4\/4 - b**3 - 4*b**2. Let o(g) = 7*g - 7. What is -5*o(j) + 6*x(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 4*z**2 + 29*z + 292. What is the hundreds digit of c(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 18 - 37*r + 20*r)*(-r - r + 5*r).\nAnswer: -51*r**2 - 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.3 - 2.4. Let o = -12 + 16. Suppose 3*f - o*f + 5 = 0. Which is the nearest to 0.4?  (a) f  (b) m  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/(21760\/(-48)))\/((-108)\/(-16))?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(304) + 1 + -2*sqrt(95)\/(-3*sqrt(5) + sqrt(5)).\nAnswer: -7*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3155690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1074 and 0.355.\nAnswer: 381.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-7.7\nAnswer: -3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 3*f + 28, -3*d + f = -4*f + 20. Which is the third biggest value?  (a) d  (b) -7  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1366 - 517*o**3 - 1362 + 2728.\nAnswer: -517*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*z - 57*z + 36*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -7*c**3 - 5*c**2 + 6*c - 5. Let r(f) = f**3 - 9*f**2 - f + 78. Let p be r(8). Let l(t) = -20*t**3 - 14*t**2 + 17*t - 14. What is p*l(h) - 17*a(h)?\nAnswer: -h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.17, -4, 4, -0.0428?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x - x + 0*x + (-1 - 2*x + 1)*(-1 - 1 + 3))*(2 + 2*x - 2).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 2\/9  (c) 9  (d) -3  (e) 80\/821  (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/15?  (a) -9  (b) 347.875  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of 8*u + 0*u**4 + 0 + 59\/120*u**6 + 0*u**5 + 5*u**2 - 49\/2*u**3. Differentiate w(a) with respect to a.\nAnswer: 177*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 12) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 + 11*g + 1. Give c(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((304\/(-57))\/4)\/(-1)*15?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*f = -27*f + 393. List the prime factors of f.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 72871 = -2*d + 3*i, i = -d + 36432. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 30 = -2*o, -4*u - o - 24 = 4*o. Suppose -4*g = -4*a - 14 - 34, -24 = a - 5*g. Let f = u - a. Solve -1 + f = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - i + 1 = 0, i = -5*g - 4*i + 20. Put g, -1, 0.4 in descending order.\nAnswer: g, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 326216 and 13951800?\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -133393341*b - 1024112197?\nAnswer: -133393341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 + 11*m + 14. Let t be l(-10). What is the second biggest value in t, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/2))**3\/(w**(2\/7))**28)\/((w**1\/w)\/w*w*w*w\/(w*w*((w*w**(-4\/9)\/w)\/w)\/w))**(2\/35) assuming w is positive.\nAnswer: w**(-4183\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2113 divided by -1546\nAnswer: -2113\/1546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 84*((-50)\/(-80) - 2\/16). Suppose i - q + 4*q - o = 0, -4*i + 123 = 3*q. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 269236\/3 - 97048. Which is bigger: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.588357 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of 83*p**7\/7 - 8*p**3 - 54. What is the third derivative of q(y) wrt y?\nAnswer: 9960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 24 - (5 + -5) - (-6)\/2. Let j = 28 - s. Solve l = -u + 2, 2*l + 4*u - 5 + j = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -543280342474.19 less than 4?\nAnswer: 543280342478.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 77059.93ug?\nAnswer: 77059930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -1, 34.\nAnswer: -1, 24, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -24.2 in 129, 0.3, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*t - 3 = -23*t. Let c(z) = -7*z**2 + 9*z + 1. Let r(q) = 6*q**2 - 8*q. Let g(l) = -3*c(l) - 4*r(l). Calculate g(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3051423958.\nAnswer: 2, 11, 47, 2951087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l - 3*l + 2*l**3 + (-2*l**2 - 2*l**2 + 3*l**2)*(-2*l + 3*l + 0*l) + 3*l**3 + 2*l**3 - 3*l**3 - l**2 + 3*l**3 + l**2.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - k)*(-3*k + k + 0*k) - 105*k**2 + 36*k**2 + 34*k**2.\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 347430, 694896, 1042362?\nAnswer: 1389828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/8)\/((-30159)\/294888)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7178595.\nAnswer: 3, 5, 478573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of 5*u**7\/42 + 31*u**6\/3 + 1021*u**5\/4 + 775*u**4 + 750*u**3 + 1141*u - 1. Solve x(p) = 0 for p.\nAnswer: -30, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 29, 2, 1, 51.\nAnswer: 1, 2, 3, 29, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 4065\nAnswer: 1\/813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -69*m + 10. Let s(j) = -373*j + 51. Give 33*r(i) - 6*s(i).\nAnswer: -39*i + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 - 8*n + 16. Let f be 2\/8 - (-462)\/(-56). Let b be z(f). Solve -3*o - o = -b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of a**3\/6 - 3*a**2 + 2*a. Let b be 264\/121 + 4\/(-22) - -2. Give w(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iilxexlxlyyxiyx. Give prob of sequence yly.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1262366475324 + 0.12.\nAnswer: 1262366475324.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 459 + -458.593. Let r = l - 0.207. Let f = 0.1 - -0.3. Put r, f, -0.1 in decreasing order.\nAnswer: f, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 26, -4, 33, 31.\nAnswer: -4, -1, 26, 31, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*i + 1. Suppose 0 = -2*c + m - i + 6, 5*m = -3*c + 6. What is the second derivative of -4*q**2 - q + q**c + 6*q**2 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4659342 and 3.\nAnswer: 13978026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8  (b) -0.2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 613807 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24522 is divided by 8154.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -11*w**5\/20 + w**4\/4 - 3*w**3\/2 + 6*w**2 + 12*w. Is o(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1*12\/12)\/((-2)\/(-6)). Let s(r) = r + 6. Calculate s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*((-508)\/(-254))\/(4\/(-134))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 28494592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 + 16*s + 41. Let y be q(18). Solve -y*x = 4*b + 33, -9 = x - b + 3*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3433*f**4*h + 6*f**4 + 404*f**3*h - 578713434*f**2*h wrt f?\nAnswer: 82392*f*h + 144*f + 2424*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1288068*d**5 + 16*d + 1472.\nAnswer: -25761360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*((b*b\/(b\/b**2))\/b)\/b*b\/(b**(6\/11)*b))\/((b*b**1)\/b)**(-1\/9)*b**(-1)*b*b*(b\/((b**(1\/9)*b)\/b))\/b*((b*b*b**(-1\/2))\/b)\/b**3 assuming b is positive.\nAnswer: b**(-1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3664514.0393128 + 5.\nAnswer: -3664509.0393128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12615292097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4128450 and 25500?\nAnswer: 41284500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 - 2739*z - 21. Let a(n) = 546*n + 4. Calculate 11*a(g) + 2*o(g).\nAnswer: -2*g**2 + 528*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8 + (-35)\/7 + 2 + 0. Factor 1189*q**3 - 92*q**2 + 32*q - 2339*q**3 + 1234*q**3 - 4*q**h - 20*q**4.\nAnswer: -4*q*(q - 1)**3*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1211 and 26273.\nAnswer: 31816603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = 3*n + 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7201\/350 + -584\/25. Let x = -5 - -6. Put -1\/4, x, b in descending order.\nAnswer: x, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the third derivative of c**5\/45 + 2*c**4\/3 + 22*c**3\/9 + 44*c**2 - c. Factor u(x).\nAnswer: 4*(x + 1)*(x + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of 1907*z**4\/12 - z**3 - 81*z**2\/2 + 2*z + 544. Find the second derivative of g(f) wrt f.\nAnswer: 3814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 4*f - 28, 4*f = u - 3 + 13. Is (-853)\/(-7) + u\/(-42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -5. Suppose -5*p = -8 + 3, -3*p - 3 + 0 = -m. Solve v*g = m*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -123, -304, -473, -624, -751, -848, -909, -928?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 take away -1.9?\nAnswer: -33.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 1773\/9 - (-2 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*q = 25760 - 1250. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 7 + 2)*(-x - 2 + 2) + 3 + 4*x - 6*x - 7*x.\nAnswer: -8*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 41*v**2 + 50*v + 352. What is j(-42)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 157\/30 and 95\/709152.\nAnswer: 3545760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of -g**4\/32 + 49*g**3\/16 - 9*g**2 + 6*g + 215. Let o(f) be the first derivative of v(f). Let o(p) = 0. What is p?\nAnswer: 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.53 + 0.13. Sort 1\/7, -7, l in decreasing order.\nAnswer: 1\/7, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*j = -35*j + 1700. Let x be ((-19)\/5 - 3)*-5. What is the greatest common divisor of j and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 7 + 3)*(4*p + 2*p + 4*p)*(0*p**4 - 3*p**4 + p**4 + (6*p**3 - 3*p**3 - p**3)*(-p + 4*p - 5*p)).\nAnswer: -180*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116308.\nAnswer: 2, 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 6*f + 5*a - 104, -5*f + 12*a = -276. What is the highest common factor of 855 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 521*q**3 - 296*q**3 + 317*q**3 + 327*q**3.\nAnswer: 869*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-720)*-9)\/((-1)\/(-5))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -t - 0*t. Suppose -7*o = -t*o. Which is greater: 2\/3 or o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttpiiptiipipitp. What is prob of sequence itpp?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33 (base 5) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 10 - 4)*(32 - 68*a - 66*a + 133*a) to the form q + k*a and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t + 8*t - 2 + 1 + 15*t**2 - 6*t. Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5330615 (base 9) to base 5.\nAnswer: -1212321120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 10*b - 4*b. Suppose 0 = b*c - 7*c + 3. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 53*u = 55*u + 10 - 0, 2*u + 19 = 7*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 44 and 680?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7314 + 146*a - 535*a + 11*a - 395*a wrt a?\nAnswer: -773","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 92175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 4*v**2 + 2*v + 2. Let b be 4\/(-1*2\/(-8)). Suppose -y = -5*y - b. Calculate j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c*c\/c**3*(c\/c**4)\/c*((c\/(c*c*c*c**(-2\/7)))\/c)\/c**6 assuming c is positive.\nAnswer: c**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -278.32 - -345. Let b = g - 70. Let v = b - -2. Round v to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*h + 108*h - 279 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 5:24 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 230412608 to the power of 1\/3, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 65 and 31551?\nAnswer: 157755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 386713816 to the power of 1\/2, to the nearest integer?\nAnswer: 19665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 17\/(-11)) + (-2310)\/2904\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/7 - (-36)\/(-28). Let o = -1.37971 - -0.07971. What is the nearest to i in -3\/5, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -4*v**4 - 9200*v**3 - 6465232*v**2 - 1527196800*v - 47022660864 = 0.\nAnswer: -1236, -514, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n - 4. Let i be z(4). Suppose c - 3*c - 4 = i. Is 8 a factor of (3 - 1)*(-15)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10*c**2 - 14*c**2 + 2 + 18*c**2 wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 35*l - 1032. Let a be k(-55). Solve -a = 2*d + 15*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t. Let a = 3 + -2. Let d be s(a). Suppose -d*w - 5*z + 30 = -z, 0 = 4*w - 2*z - 110. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 + 10*q - 10. Let n be b(6). Solve 0 = n*a - 3*a + 22 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llkgqkklkklkllk. Give prob of sequence gl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/9 - 167960*g\/9 + 839750\/9.\nAnswer: 2*(g - 83975)*(g - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zw when two letters picked without replacement from wfhzzzwzwzzzfhwzfz?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a microsecond in nanoseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-246)\/(-2583))\/(1\/(-2))*-3\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 2:20 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (32\/24*-1)\/(4\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 127 - 965. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 11) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -406 > -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/125 + (6764\/(-2800))\/(-19)\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y**3 + 309*y**2 - 4510*y - 6072. Determine s(138).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7847)\/(-1330) - 26\/4)\/(252\/(-5250))?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 - 6*k + 3. Suppose -25 = -8*b + 15. Let n be x(b). Suppose 26*l - n*l + 22800 = 0. Round l to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2099977410 rounded to the nearest 1000000?\nAnswer: 2100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4957050 divided by -826175\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -4*f + 20. Suppose 3*j + a - 40 = 0, 19*j - 21*j - 2*a = -24. Calculate x(j).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-74)\/(-14) - 6\/21. Suppose -5*m = -t - m - 20, p*t + 2*m - 10 = 0. What is the closest to t in 1, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 170864?\nAnswer: 2, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, h: 1, t: 4, w: 4, s: 1}. What is prob of picking 1 t, 1 w, and 1 a?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 5:26 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/178630 and -32\/4412161.\nAnswer: 44121610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5631 and 21?\nAnswer: 39417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + 3\/((-9)\/(-15)). Let k be (u + -17)*(-2 - 0). Calculate the highest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -547 minus -52147.879957?\nAnswer: 51600.879957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 49*k**2 + 144*k**2 + 78*k**2. What are the prime factors of j(-1)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f - 6. Let n be y(-6). Let g be -1 - (-1 - (n + 4)). Solve 20 = -g*c - c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)\/(sqrt(28)\/sqrt(4)) - (sqrt(208))**2*-4)*-5.\nAnswer: -4160 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -8, -1, -2 in increasing order.\nAnswer: -8, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/27*6\/(-8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 870 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 -2*b - 10*w + 6*w + 12 = 0, 2*b + 5*w = 15. Suppose 4*y = 5*k + 822 + 262, b = -5*y - 4*k + 1355. Is 29 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 16. Let t = -4 + r. What is the lowest common multiple of t and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19513 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -9. Let o = -3 - -5. Suppose o*h - 4 = 4. Which is the second biggest value?  (a) f  (b) h  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 276 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -698091064 divided by 4?\nAnswer: -174522766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16072367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -13, 5, 1, 13 in ascending order.\nAnswer: -13, 1, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 95 + -175 - ((-2 - 3) + (12 - 13))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*b - 41*b + 95 = 0. Solve b*c - 17*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2484 and 2916.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 150140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, e: 1, j: 1, d: 2}. What is prob of sequence judd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6947*-116.\nAnswer: 805852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33.69 + -13.31. Which is the biggest value?  (a) 0.6  (b) 3  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/2 of a microgram in nanograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.2 - 0.4. Let v(g) be the first derivative of -g**2\/2 - 5*g + 4. Let y be v(-4). What is the second smallest value in d, 5, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 34, 45, 64, 91, 126, 169?\n\"Answer: 4*m**2 - m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5534, -22059, -49602, -88163, -137742, -198339?\n\"Answer: -5509*r**2 + 2*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 - 463?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/3266 and 20\/589513?\nAnswer: 1179026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 759 = -4*t + 4*y + 283, 0 = -4*t - 2*y - 458. Let p = t - -221. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, u: 3, e: 6}. What is prob of sequence eeuu?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(9\/5)\/h**(8\/5)*h**(-24)\/h*h**(-1\/11) assuming h is positive.\nAnswer: h**(-1369\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in sixty-seven fifths of a kilometer?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2397 + 2405. Sort -15, 2, u, -3 in descending order.\nAnswer: u, 2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2881 + 2066 + 121*x**4 - 1207 with respect to x.\nAnswer: 484*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 180\/7*o + 12\/7*o**2 - 3\/7*o**3 - 864\/7 = 0. Calculate o.\nAnswer: -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or 239\/143?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*t**4 - 2*t**3 - 6*t**4 - 18*t**4 + t**2 - 4*t**2 in the form k*t + x + v*t**3 + w*t**4 + a*t**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.2, -11337229, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -554.73 + 555. Which is smaller: -1\/16 or q?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3082)\/161 - -22)*((-42)\/(-4))\/3. Solve 24 + 26 = -g*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v + 596 - 596.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -3908\/19 >= -206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22686377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 + -13 + (1 - 3). Let v = x + 38. Suppose -11 = -3*n - w + 3, 0 = -4*w + v. Solve 0*o - 4*o - 3*z = n, 0 = -5*o + z - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.459 to one dp.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of u**5\/20 + 126*u**3 - 1339*u**2 - 4015*u. What is the first derivative of n(d) wrt d?\nAnswer: 3*d**2 + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20309.262 rounded to the nearest 100?\nAnswer: -20300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -50547 divided by -87\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i + 24. Let l(q) = q**2 - 18*q + 11. Let w be l(18). Let c be m(w). Factor -2\/7*j**c - 18\/7 + 12\/7*j.\nAnswer: -2*(j - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3b7 - -8f?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7321 is divided by 3402.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.9 - 2. Suppose -4*h + 6 = -6*h. Let u = -9 - -9.4. What is the biggest value in h, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 3*c + 3. Let v = -39 - -37. Let k be v\/2 + 0 + -3. What is g(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -128371, -128369, -128363, -128353, -128339, -128321?\nAnswer: -128299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/(96\/(-8)))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 - 2*z**2 - 3*z + 2. Let v be f(3). Suppose 144*y = -214*y + 153 + 205. Solve v*h = -y - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -363652, -363931, -364216, -364507?\nAnswer: -364804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 66*o. Let x(b) = -2*b**2. What is x(a(c))?\nAnswer: -8712*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 63*q + 14*q - 19*q - q**2 + 3 in the form k*q + o*q**2 + p and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12*(-1218)\/3024)\/(2\/(-12))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3912, 8762, 14522, 21180, 28724, 37142, 46422, 56552?\nAnswer: 67520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 PM and 8:45 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of -i**5\/20 - 11*i**4\/12 + 4*i**3\/3 + 10*i**2 - 13*i - 3. Let k(s) = -s**3 - 7*s**2 + 5*s + 13. Determine 5*f(b) - 8*k(b).\nAnswer: 3*b**3 + b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 2*n - 4*n = 0, -4*n = -3*r + 11. Find the common denominator of (-2)\/(-6) + 5\/6 and 3383\/(-204) - r\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*t - 1562 = -22*t. Solve 0 = 22*v + 88 + t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 377403992371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 17 - 31 - 1057*h + 2 + 8 in the form n*h + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = y + 17, -y + 28 = 3*h - 0*h. Suppose -2*i + 5*q = -85, 3*i + 3*q - 61 = i. Calculate the remainder when i is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -641*y - 37180 - 87644 = -826*y - 1301*y for y.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1515)\/(-9) - 5)\/(3702\/10). Let k = w - -2\/617. Factor -2\/3*t**3 + 0 + k*t**2 + 2\/9*t.\nAnswer: -2*t*(t - 1)*(3*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, -1.2, -2\/15, -28\/9 in ascending order.\nAnswer: -28\/9, -1.2, -2\/15, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 80 + 846897?\nAnswer: 846977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**11*p*p\/(p\/p**(-4))*p)\/(p\/p**(-2\/7)*p*(p\/p**(1\/12)*p)\/p))**16 assuming p is positive.\nAnswer: p**(1948\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3995 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*o = -3, -3*i - 3*o - 8 = 1. Which is the closest to 2\/9?  (a) 2\/9  (b) 9  (c) 3  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 PM and 4:08 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**3 - 11*q**3 + 5*q**3)*(-2*q**2 + q**2 + 0*q**2).\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 142954145, 142954146, 142954147, 142954148, 142954149, 142954150?\nAnswer: 142954151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 36175720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n + 0*n**2 - 1 + 4*n + 9*n**2. Let v be b(1). Factor -v*s + 17 - 15 + 18*s**2 - 2*s**2 - 8*s**3.\nAnswer: -2*(s - 1)*(2*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 8*p**2 - 6*p + 19. Let i be r(-10). Let m = 532 + i. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54434*s**3 - 108829*s**3 + 54475*s**3.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -935326, -1870692, -2806102, -3741556, -4677054, -5612596?\n\"Answer: -22*s**2 - 935300*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, a: 2, y: 2}. What is prob of sequence wwaa?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -0*k + k. Let z = 3 - k. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1909 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2445 and 3260?\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -16112, -32186, -48270, -64364, -80468?\n\"Answer: -5*o**2 - 16059*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6264 * -0.5.\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -8100940.1 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/107638848 and 73\/168?\nAnswer: 753471936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**3\/5 + 3*o**2\/5 - 51*o + 165.\nAnswer: 3*(o - 5)**2*(o + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -66 + 1?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1251321*c**5 + c**2 - 479*c + 6 wrt c.\nAnswer: -75079260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 33\/22 + 1\/(-2). Suppose -4*x - t = 3*v - 4, -3*x + v = -12. Suppose -x*u = -4*w - 2*u + 1349, 4*w - 5*u - 1353 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: (-9 - -2) + (-28 - -35)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10009*-17096\nAnswer: -171113864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7676 = -72*z + 7100 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 254, 6, -4, 3 in increasing order.\nAnswer: -4, 3, 6, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, n: 2, t: 1, m: 4}. What is prob of sequence mmmw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 6*g + 1. Let a be 4\/6 - 1\/(-3). What are the prime factors of v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*t + 30*t = 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2987, -6093, -9203, -12317, -15435, -18557, -21683?\n\"Answer: -2*s**2 - 3100*s + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**4 - 21777*n**3 + 36444120*n**2 - 17738286096*n.\nAnswer: 3*n*(n - 5107)*(n - 1076)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - -17) + -4 + 1 + -23 + 37\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 33722890298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10001010000100110010101 (base 2) to base 10.\nAnswer: -4524437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2166911651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(147) + sqrt(3) - (-3 + sqrt(3) + 0).\nAnswer: 2 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 3\/5  (b) -3\/32  (c) -4  (d) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 3 = 5*n - 0 - 3, 4 = -2*p - 15876*n + 15877*n + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16*r**4 - 31*r**2 + 1219*r wrt r?\nAnswer: -192*r**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131 is divided by 91?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -58 or -57?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 - 10*q + 2. Let f(p) = 22*p**2 - 32*p + 12. Determine -f(n) + 5*k(n).\nAnswer: -27*n**2 - 18*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1795160970 is divided by 2458.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 3\/11, -441, 0.3, 2 in increasing order.\nAnswer: -441, 3\/11, 0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/3206 and -37\/37825.\nAnswer: 121266950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9648?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(1\/(-4) + 0 - 0). Let a be 9\/((-189)\/12)*2\/y. Determine i, given that -a*i**4 + 0 - 2\/7*i**3 + 2\/7*i + 2\/7*i**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7407343 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 6:28 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 10*v + 25, 2*d - 6 = 2*v + v. Put 5, -201, -5, v, 0 in descending order.\nAnswer: 5, 0, v, -5, -201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13760 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -417, 5, 178, 3?\nAnswer: -417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -751 = -6*y + 5*y. Suppose 0 = 27*k - 2003 - y. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 + 72*x + 1213. Calculate the remainder when 278 is divided by p(-13).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 277 a factor of 1229234036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.23 + 9.23. Let z = 81.2 - 81. Which is the second biggest value?  (a) z  (b) o  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2889692230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -149 + 0?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -4112.\nAnswer: -5\/4112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 533 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4837*o**3 - 1597*o**3 - 1619*o**3 - 1622*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -41 divided by 147\nAnswer: -41\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -100100 (base 4) in base 9?\nAnswer: -1375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*x = -1019 + 343 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -142671 - 164?\nAnswer: -143055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4650 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-3\/5)*h**(-21\/5) assuming h is positive.\nAnswer: h**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5176 less than -0.17567144?\nAnswer: -0.69327144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 246 and 9.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -63 - 24*10564\/(-1824)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 20\/4 + -7 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + 2 + (6 - 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.01 - -5.49. Let j = t + -5.4917. What is j rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*b + 175 - 1759. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9138 divided by 6\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 318, 1243, 2778, 4923, 7678, 11043?\n\"Answer: 305*x**2 + 10*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/61880 and -7\/10?\nAnswer: 61880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3840523.\nAnswer: 3840523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -276959.02 to the nearest 100.\nAnswer: -277000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(50)\/sqrt(5))\/sqrt(5) - (sqrt(24) + sqrt(24)*2)\/sqrt(12))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, b: 3, k: 9, i: 2}. Give prob of sequence kdki.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1939308093?\nAnswer: 3, 19, 541, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2520 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (22952\/12)\/((-4)\/(-3480)). Suppose 2*m + 3*m - 2080010 = -2*z, -4*m - 4*z + b = 0. What is m rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -1863.\nAnswer: -4\/1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3635239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 905304 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 5*i**2 - 36*i + 33. Determine l(12).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -2*c + 90, 0*c - 4*c - 3*w = -180. What is the remainder when 131 is divided by c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 503955591*h**2*n**2 + 33*h**2*n + 2*h**2 + 174116*h*n - h wrt n.\nAnswer: 1007911182*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2324443616 - 4?\nAnswer: 2324443612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1306451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100 - 12000011221222210?\nAnswer: -12000011222000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 333 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 791697820 to the power of 1\/2, to the nearest integer?\nAnswer: 28137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -61 - 66. Let m = c - -647\/5. Factor -m*q**3 - 2\/5*q**4 + 0 - 16\/5*q - 24\/5*q**2.\nAnswer: -2*q*(q + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from sssssssssiiississi.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -108 + 108. Suppose -m + b = -101, -3*m - b + 3*b + 299 = z. Let f = m - 108. Is -12 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 1, q: 2, m: 1, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lklklllakllkl. Give prob of sequence la.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3\/121, 4332.\nAnswer: 0, 3\/121, 4332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a + 20. Let u be s(9). Solve -4*h = u*q - 8 - 2, -5*h + 30 = -q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 82 + 2497. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/5 - 3\/20. Let u = 0.85 - 0.05. Let i = 0.4 - u. Which is the third smallest value?  (a) i  (b) s  (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 89 - 49 - 45 + 5*b**2 - 2*b**3 + 14*b - 13*b. Let y(u) = -u**3 - 2*u**2 - u + 1. Let x be y(-2). Let g be h(x). Is g at least as big as -47\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -80724\/11  (b) 1  (c) 24  (d) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-134*g**2 + g + 387*g**2 + 58*g**2)*(-g**3 + g**3 + g**3).\nAnswer: 311*g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168 = -60*p - 48. Let u = -0.8 + 0.796. Sort p, u, 2\/9.\nAnswer: u, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -149, -571, -1267, -2237, -3481, -4999, -6791?\nAnswer: -8857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 29 + (-10 - (-38715)\/(-2052)) - 6\/57\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1105, 2194, 3271, 4336, 5389, 6430, 7459?\nAnswer: 8476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -7976379.17 and 0.3.\nAnswer: -7976378.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000014337 rounded to seven decimal places?\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25483080 and 1932.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 PM and 3:55 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + o = 6, -6*n + 2*n = 2*o - 4. Suppose 4*i - q = -4*q + 192, -5*q + 96 = n*i. Calculate the greatest common factor of 36 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 131944, 132382, 132820, 133258?\n\"Answer: 438*q + 131506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 - -504.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -1352\/7 + 1248\/7*l + 102\/7*l**2 + 2\/7*l**3 = 0. What is l?\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 219 - 206. Let q = 152 - r. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 5*l**3 + 2*l**2 + 6. Let w(d) = -11*d**3 - 5*d**2 - 12. Determine -7*m(q) - 3*w(q).\nAnswer: -2*q**3 + q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*v + 39*v + 1 + 863*v**2 - 860*v**2)*(-2*v**3 - 3*v**3 + 7*v**3).\nAnswer: 6*v**5 - 6*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -613, -633, -653, -673?\n\"Answer: -20*g - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-63)\/(-3 + (-3)\/(-2)). Suppose 0 = -3*g + d + 30. What is the smallest common multiple of 4 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 + 5 - 15)*(-3 + 0 + 1)*(0*y**3 - y**3 - 2*y**3 + 2).\nAnswer: -186*y**3 + 124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - 3*a**2 - 6*a - 3. Let i(n) = -41*n**2 + 10*n + 13. Let w(r) = 18*r**2 - 5*r - 6. Let s(j) = 4*i(j) + 9*w(j). Give 2*o(t) - 3*s(t).\nAnswer: 2*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(39)\/((3*sqrt(27))\/sqrt(9)))**2*3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 7:50 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 311280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (30\/6)\/(1\/4). Let p be z*(1 - (-1)\/(-2)). Let g = p + -6. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92982 = 793*r + 1240*r + 20097 - 16567 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of t**7\/2520 + t**6\/180 + t**5\/15 + 4*t**2. Let d(p) be the third derivative of l(p). Give d(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 481157 less than 481158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/11 greater than or equal to -13150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1078 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1696894.89 to the nearest 10000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4304.023 centuries in decades?\nAnswer: 43040.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - g - 96 = 0. Let x be 194 - (4 - 2)\/(-2). Let n = g + x. What is the greatest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dpdp when four letters picked without replacement from dppdpdp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -q**4\/12 - 3*q**3\/2 + 5*q**2\/2 + 194*q - 1. Calculate t(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*k = -30*k + 462. Let f be 18 - k\/((-7)\/(-5)). What is the greatest common divisor of f and 286?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -78 - -36. Let d = o + 40. Sort 5, 3, d.\nAnswer: d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 600 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 395769 and 18795?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 + 77*x**2 - 1139*x + 2899. Determine k(-90).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -420, -416, -412, -408, -404?\n\"Answer: 4*s - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1044, 1048, 1050, 1050, 1048, 1044?\n\"Answer: -d**2 + 7*d + 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -1169*s**3 + 6*s**2 - 41*s + 36. Give d(1).\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -0.142  (c) -11  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1062684?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -4*s**5\/5 - 116592*s**4\/5 - 226069720*s**3 - 3620944304432*s**2\/5 + 232708346837148*s\/5 + 236328160909568\/5 = 0.\nAnswer: -9737, -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -1.6. Let d = -1.47 - m. Let f = d + -0.23. Put 2, -0.4, f in decreasing order.\nAnswer: 2, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3823 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53.5, 2, 1, 4\/7, -0.196 in ascending order.\nAnswer: -0.196, 4\/7, 1, 2, 53.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 3*i, -c - 3*c = 5*i. Find the second derivative of 11*d**4 - d**4 - 8*d + c*d**4 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -45.6 and 410.22591.\nAnswer: 364.62591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 63.22 + -65.22. Which is the second biggest value?  (a) -0.1  (b) -18  (c) r  (d) 0.3  (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of i**7\/2520 + i**6\/90 - 7*i**5\/120 + i**4\/6 - 4*i. Let k(c) be the third derivative of u(c). Is 2 a factor of k(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v + 6*v = 2*g - 7622000, -5*g - 2*v + 19055000 = 0. Round g to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (36\/(-30))\/(-3) - (-38)\/5. Suppose h = -3*y + 7*y. Suppose 5*d + 3*g - y*g = 3989, -5*d - 3*g = -3997. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 774687565 a multiple of 3257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8.6 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-91 - -85) + -7 + (25 - -1) - 130.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 3 e when four letters picked without replacement from eeeeeeqeeqeqeqeeeee.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + 48 + -14 + -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 + 4*z + 1. What is w(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 984856 or 984852?\nAnswer: 984856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.4 + 1.5. Let k = -16.9 - p. Let s = -16.99999994 - k. Round s to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 + l**2 + 2*l - 9. Let w(k) = k**3 + 3*k - 9. Let h(c) = 6*d(c) - 5*w(c). Let n be h(-6). Solve -4*i = 2*v - n + 31, 0 = 3*i + 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from ppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87724 is divided by 283?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 248451116 by -7702.\nAnswer: -32258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 14, -2, -3.\nAnswer: -3, -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from inzlf. What is prob of picking 2 z and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*d - 8 - 5. Suppose -p - 3*z = -13, 3*z - 8 = 4*p - 0. Sort d, p, 2 in descending order.\nAnswer: 2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3378\/24 + (189\/(-28))\/9 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -23 - -4c0d?\nAnswer: 4bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/4*(0 - (2 - 50)). Suppose 0 = -12*z + 16*z + i. Let t be 2\/3 - 40128\/z. What is t rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -2  (c) 0.2  (d) -532\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1910?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3*s = 8. Let h = 9 + s. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.2 - 0.3. Let p = 5.04 - 0.04. Let z = 46.3 + -46.8. Which is the second biggest value?  (a) z  (b) u  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-2))\/(23238\/175576).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(-1)*(-20)\/50. Let g(b) = -i - b + b - 4*b - b. Does 26 divide g(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.119 * 0.08.\nAnswer: 0.00952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1290*r + 1276*r + 13958. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 872 rounded to the nearest 10?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s + 1. Let u be f(2). Let r = -329 - -332. Suppose r*t = -g - 4, 0 = -g - g - u*t - 6. Solve -g*y = 2*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 take away -39139?\nAnswer: 39160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2362 - 2786 + 5148 - 2*h**2 + 6*h.\nAnswer: -2*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do -33 and -1404\/41 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 165, 161, 147, 117, 65, -15, -129, -283?\n\"Answer: -u**3 + u**2 + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-1)\/3)\/(1\/(-132)) is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-50)\/((-4)\/15*3*5\/(-2))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**3 + 398*v**2 - 1645*v - 4265. Calculate j(-203).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 - 8. Let a(v) = -6*v**2 - k*v + 0*v + 5*v. Let o(g) = -g**2. Give a(o(p)).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from xllrlllxrllllrxixll.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/16 and 151\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 19 = n - 3*z, 3*z + 13 = -n. Let x(u) be the third derivative of 5*u**4\/24 + u**2. Calculate x(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20539 is divided by 182?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -3. Suppose 15 = -l*r - r. Let c(t) = -t**3 - 4*t**2 + 3*t - 6. What is the units digit of c(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10.24 * -1781\nAnswer: -18237.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 377*h + 2123 - 2123 + (-3*h - h + 3*h)*(1 + 3 - 3).\nAnswer: 376*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5352 is divided by 315.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - 1. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/2)\/((-231)\/385).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in -563\/6, 66, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*r**5 + 0 + 0*r**2 + 16\/3*r**3 + 0*r - 6*r**4.\nAnswer: 2*r**3*(r - 8)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.904425+-3\nAnswer: -5.904425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -4 + 10*q + q**3 - 7 + 8*q**2 + 0*q**3 - 2*q**3. Let p be n(9). Let v = p - -9\/4. Which is the third biggest value?  (a) 0.5  (b) v  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f = -0 - 12 - 36. Factor 0 + f*l**2 + 16\/5*l**3 + 4\/5*l**4 + 8\/5*l.\nAnswer: 4*l*(l + 1)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 18\/791, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 30\/(-24)*196\/280*(-8)\/14. Which is the second biggest value?  (a) t  (b) -4  (c) 6\/11  (d) -0.07  (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 200 and 720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 - 11*n**2 + 47*n - 964. Determine c(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -551 + 553. Solve -n*q = 38*q - 80 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*q, q = 4*i + 5*q - 25536. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.121 - -5.327. Let q = 7.3 - k. What is q rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gplmkpkkll. What is prob of picking 1 k and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -245 divided by -6\nAnswer: 245\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 143253919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -303*l**2*s**2 - 4*l**2*s - 144*s**2 - 29*s + 7 wrt s.\nAnswer: -606*l**2 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 225078 and 628867.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2904) - (-2*sqrt(2904) - sqrt(2904))) + sqrt(24))\/(sqrt(24)\/(sqrt(2) - sqrt(32) - sqrt(2))).\nAnswer: -180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**4\/5 - 36*x**3\/5 - 2*x**2\/5 + 36*x\/5.\nAnswer: 2*x*(x - 18)*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1655, 3336, 5017?\nAnswer: 6698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + u + 446, -312 - 11 = 3*v - 5*u. Let c = -87 - v. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r. Let y(o) = -3751*o**2. What is y(i(z))?\nAnswer: -15004*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of -57*o**2 - 50*o + 33 - 83*o**2 - 49*o**2 + 30*o**2. Let t be h(-25). What is t rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 930050222 or 930050221?\nAnswer: 930050221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15741, 31429, 47127, 62841, 78577?\nAnswer: 94341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1241*y - 1351*y - 121624 + 9922 = 46410 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 0.08. Let a = -154 + 149.08. Let v = j - a. What is the closest to 0.1 in v, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1895 is divided by 938?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6622.92us in hours?\nAnswer: 0.0000018397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12\/469 in -4, -4\/7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.4242 - -4.0242. Sort -41\/4, -1, q, 2\/89.\nAnswer: -41\/4, -1, q, 2\/89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2 + 603*d + 606.\nAnswer: -3*(d - 202)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 6:20 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7099 is divided by 709.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 25 = 6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 112 = 4*k, k - 22 - 6 = -2*a. Suppose 0 = 5*r - 72 - k. Let t = 30 - r. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w**2\/17 + 2400*w\/17 - 77022\/17 = 0. What is w?\nAnswer: 33, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 201932.\nAnswer: 2, 19, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 7.7632184260218 and -4?\nAnswer: 11.7632184260218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/18 and 85\/222.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25\/866 - 8031\/173200. What is the common denominator of -133\/360 and s?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 492, 1028, 1568, 2112, 2660, 3212, 3768?\n\"Answer: 2*y**2 + 530*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2. Let s(z) = -z**2 + 4*z + 2. Let h be s(4). Suppose -3*r - 3 = v - h, -5*r = 5. Let x(k) = 1468 + 3*k**v - 1468. What is x(w(g))?\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of 0*b**3 + 17*b + 0*b**2 + 0 - 2\/15*b**6 + 0*b**4 + 0*b**5. Factor d(y).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 328*d - 1330 = -5594 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1380 by -115.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (402*y - 631*y + 434*y)*(0 - 1 + 0) as l + o*y and give o.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/(-12))\/((-2)\/33). Let d = -23 + j. Calculate the common denominator of 75\/(-54)*d\/10 and 7\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 13\/9 of a week?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1408)\/(-8) + (0 - 3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2469 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 83?  (a) 5  (b) -1\/5  (c) -3  (d) 1\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -i**4\/8 + 209*i**3\/8 + 4227*i**2\/8 - 1696145*i\/8 + 27439775\/4 = 0.\nAnswer: -94, 55, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13132, 26268, 39402, 52534?\nAnswer: 65664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1129 bigger than 1165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + -6. Suppose 2*w = z*k - k + 21, 5*w = -4*k - 5. Differentiate 7 - 3*c**3 + c**3 + c**w - 4*c**3 with respect to c.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 divided by -5?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -438*u**2 - 97*u + 96*u - 24*u**2 to the form m + v*u**2 + h*u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2819\/469 - 39\/67. Suppose -5*p = 3*x + 4494 - 16759, -4*x - 4*p + 16348 = 0. Let h = x - 24647\/6. What is the common denominator of h and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1.197848 weeks?\nAnswer: 12074.30784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - p = 247, -2*b + 2*p - 262 = -4*b. What is the greatest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of (-2)\/8 + (-87)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -bb5a47 - 6?\nAnswer: -bb5a4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 169 - 159. Sort g, -1, -3 in ascending order.\nAnswer: -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 79\/403, -3, -42\/37, -0.1 in decreasing order.\nAnswer: 79\/403, -0.1, -1\/4, -42\/37, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -770000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, f: 6, v: 3, m: 1, r: 4, l: 1}. Give prob of sequence lmi.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101166 is divided by 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u**2 + 16*u - 1. Let o be n(-8). Which is the nearest to o?  (a) 0.3  (b) -0.04  (c) 0.4  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000100 - 111010?\nAnswer: -1111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 3*f + 2. Let j = 27 + -29. Is 8 a factor of j - (f\/(-1) + -22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c15 + 0?\nAnswer: c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 556\/5 - 6016\/55. Let c(a) = -274*a**2 - 19*a - 78. Let p be c(-6). Let g = p - -226092\/23. Find the common denominator of s and g.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -625 + 612. Sort a, 2\/3, -1\/10, -0.2 in decreasing order.\nAnswer: 2\/3, -1\/10, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(243)*-4 + -4 + 2 + sqrt(15)\/sqrt(5) + (sqrt(3) - (-3*sqrt(3) + 4)) + -3.\nAnswer: -31*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2c8669 (base 16) in base 9?\nAnswer: 5436654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.39 * 5.\nAnswer: -1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28403 - 4591. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 238 divide 4201505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: (143936\/(-1352) - -10) + (-16)\/26*15\/(-20)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 681 - 515202?\nAnswer: -514521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (5 + (0 - -1))\/2. Suppose -5*y + 3*k - 2 = 3, 4 = -4*y + 4*k. Let i(l) = l - 1. Let q(u) = 4*u - 9. Let v(n) = y*q(n) + 5*i(n). Determine v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -4*o**4 - 292*o**3 - 6008*o**2 - 24752*o - 27744 = 0.\nAnswer: -34, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 3:52 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 9*g - 11. Give y(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 10:05 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -290006, -289825, -289500, -289025, -288394?\n\"Answer: y**3 + 66*y**2 - 24*y - 290049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/10 and (-81)\/45*25\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 455445 is divided by 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63050 is divided by 985?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 800 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 530498 by -1.\nAnswer: -530498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - 218*l - 435. Let y be z(-2). Sort -4, -5, 59, y in increasing order.\nAnswer: -5, -4, y, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 434940, 1, -16 in descending order.\nAnswer: 434940, 1, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10130, 10129, 10128, 10127, 10126?\n\"Answer: -q + 10131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 = 3*v + 3*m, 33*v + 122 = 5*m - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + -3. Let m be 7\/((p - -1) + -4). What is the remainder when 46\/(-8)*(m + -1) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**5 - 2*o**5 - o**5 + (-4*o**3 + 3*o**3 - 2*o**3)*(0*o - o**2 + 0*o).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34138*100.\nAnswer: 3413800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.1*-27.\nAnswer: 29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 462.7*-2624\nAnswer: -1214124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -365 - -569. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 373.4 * -2\nAnswer: -746.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125 is divided by 92?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2688 and 35672?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 115 = 25. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2479 + 12094. Does 58 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/46128 and 8\/918251.\nAnswer: 1366357488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 5 + ((-40)\/(-12))\/((-24)\/36)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*m - 78 + 43 + 35 as l*m + g and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 67582718 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: b\"What is the yth term of 922, 3618, 8110, 14398, 22482, 32362, 44038?\n\"Answer: 898*y**2 + 2*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(2000) + sqrt(2000) + -1*(sqrt(2000) - sqrt(2000)*-1) - sqrt(2000))\/(sqrt(1000)*2 + sqrt(160)).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 - (20\/(-130) - 2802\/39) and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 4. Suppose 0 = w*y - 4 - 56. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14*-386268\nAnswer: -5407752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -50248.4 plus 0.125?\nAnswer: -50248.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, -1202, -0.74 in descending order.\nAnswer: -0.74, -41, -1202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*o - 28. Let p be (140625\/(-30))\/(o\/11264). Round p to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -468670*m + 3411072?\nAnswer: -468670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + -77 - (-8 - 11 - (-8 + 0)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {o: 1, w: 6, t: 2, k: 1, s: 7}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 = -5022*g + 5012*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/13)*y)\/y*y)**(5\/8)\/(((y\/(((y\/y**(2\/9))\/y)\/y))\/y)\/(y**(-10)\/y)) assuming y is positive.\nAnswer: y**(-10945\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5 and 175585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8244, -16648, -25052, -33456, -41860?\nAnswer: -50264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -7 - (2 + -2 - 1). What are the prime factors of 4\/p + (-60)\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1623600, 3247810, 4872032, 6496272, 8120536, 9744830, 11369160, 12993532?\n\"Answer: k**3 + 1624203*k - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -116 divided by 20994\nAnswer: -58\/10497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.07 + 1.93. Let n = -7 + v. Let q = -46 - -51. Which is the closest to 0.1?  (a) q  (b) n  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or -94\/15?\nAnswer: -94\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 11) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25722.53 + 1633501.47. Let p = 1658940.9829 - d. Let c = p - -283. Round c to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 4:46 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*a*k**4*m - 5*a*k**2*m - 2*a*k*m - 18537*a - 5355*k**4*m + 3*k**3*m - k wrt k.\nAnswer: 48*a*k*m - 128520*k*m + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.4 and -1.45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1222 a factor of 1641146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -78058029 divided by -531007\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -9*x + 7*x + g, x + 55 = 14*g + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3 - 2*i + 4*i**3 - 2*i**2 + 0 - 3*i**3. Give j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -453*51.98.\nAnswer: -23546.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-9 - -2) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - k**5 + 1 + (0*k**4 - k**4 - k**4)*(1 + k - 1) + (-2*k**4 - 3*k**4 + 3*k**4)*(-k - 4*k + 4*k) + 289*k**2 + 90*k**5 - 289*k**2.\nAnswer: 89*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 4*g**3 - 6*g + 3*g**2 + 3*g**3 - 6 - 6*g**3. Let m be x(-4). Suppose r - m*r = -1. Calculate the smallest common multiple of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 0  (b) 1\/3  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29125 - 19486. Is 153 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (6\/(-8))\/(((-56)\/(-5120))\/(-7))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -5. Suppose h - 5*p - 17 = 0, -h + 13 = 2*h + 4*p. What is the units digit of (2 + -10)*h\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 49 - (-88)\/(1100\/25)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1812264, 1812272, 1812286, 1812306, 1812332, 1812364, 1812402?\n\"Answer: 3*p**2 - p + 1812262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 5*t**2 - 2*t + 2. What is b(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 48614854*p - 81155571 wrt p?\nAnswer: 48614854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(200)*-2*4)**2*6 + sqrt(200) + (-4*sqrt(200) + -3 + sqrt(200) - sqrt(200))**2 + 0.\nAnswer: 250*sqrt(2) + 80005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 2016 and 12452 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/((-2)\/18 + 0). Let y(o) = 17*o + 3*o - 7*o - o**2 - 12. Does 12 divide y(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/160 < -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y + 4*y**2 - 4*y**2 - 2 - y**2. Calculate x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10716, -12660, -15892, -20406, -26196?\n\"Answer: k**3 - 650*k**2 - k - 10066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66072 and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 46 - 36. Suppose -2 - j = q. Calculate the remainder when (-9)\/q + (426\/8 - 1) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 64.087 to 0 dps.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/31 and -54\/403?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -35, -39, -45, -53, -63, -75?\n\"Answer: -x**2 - x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 179093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, d: 1, b: 4, h: 7, y: 3}. Give prob of sequence bb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-5\/2)*p**(-2\/17)*p**4*p*p**(-1))\/(p*p*p\/((p**8\/p)\/p)*p\/(p**(-3)\/p)*p)**(4\/11) assuming p is positive.\nAnswer: p**(109\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -9204.6 from -510.\nAnswer: 8694.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 26*u = 440. Suppose -4*x + u = -0*x - 4*d, -4*x + 2*d + 16 = 0. Solve -v + 0*v + 6 = -3*y, 6 = -x*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9201 or -9213?\nAnswer: -9213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**3)*f*f*f*(f\/(f*((f*f\/f**(-1))\/f*f)\/f*f)*f*f)\/f*f*f)**(1\/65)\/(f**(-3)*f**(-3)*(f**(-1\/3))**(8\/3)) assuming f is positive.\nAnswer: f**(4084\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n + 10. Let v be c(4). Let l(m) = 3 - 4 + v - m + 3*m. Determine l(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 395 = 2*z - z, -401 = z + 5*d. Let f = 3297 - z. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1070\/(-26))\/(26335\/(-68471)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8286912 divided by -96\nAnswer: 86322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, j: 4}. What is prob of picking 1 s and 2 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -49*w**3\/2 + 14747*w**2 - 4437041*w\/2 - 181202.\nAnswer: -(w - 301)**2*(49*w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(132)*-6)\/sqrt(12))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 212*z - 6357. Let q be f(30). Factor 5\/2*h + 3\/2 - 1\/2*h**q + 1\/2*h**2.\nAnswer: -(h - 3)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 11) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/6 in -2\/45, -3, 0.1, 1\/28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 705838?\nAnswer: 2, 7, 50417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 180\/8*7\/84*144\/180?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87997.\nAnswer: 7, 13, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, 3, 214, -5 in descending order.\nAnswer: 214, 28, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-38)\/114*8*3*(-1)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 81*y - 104*y + 52233. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2170591 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 928 a factor of 1734503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -96, -186, -282, -384, -492, -606, -726?\n\"Answer: -3*k**2 - 81*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 574*m - 568*m - 90 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68 + -152. Let a = -84.91 - h. Let d = a - -0.911. Round d to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/4*(-930)\/(-155)*27\/(-6).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 12 - -23 - -5 - 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 914 is divided by 302.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13\/10, -3\/7, 29306 in descending order.\nAnswer: 29306, -3\/7, -13\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 3 - 4)*(7*p**2 - 7 + 7) as z + k*p + b*p**2 and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 75537418 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 3 + 2)*(-8 - 4*n + 8)*(7 - 3 - 2)*(2 - 1 + 0).\nAnswer: -48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + s - 28 = 2*i, -5*i - 32 = -3*s. What is the remainder when s is divided by 4\/(-16)*(-72)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -39004 - -38979.029. Let s = 25 + f. What is s rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26442 and 436014.\nAnswer: 640504566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/((-96)\/592) - -11. Suppose 0 = -c - 7 + 73. Calculate the greatest common divisor of c and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 211 is divided by 89.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 12 = 5*q, q - 33 + 90 = -5*o. Let x = o - -14. Suppose -z = 2*b - 5, 41 = x*z + z + b. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 16, 2\/7, -39.1?\nAnswer: -39.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 - (-1 - (1 + -2)). Is (8\/12)\/(n\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -9. Let x be 3 + (16 + -3)*v. Let s(d) = -d - 9. Let z be s(x). Put z, -3, 4 in ascending order.\nAnswer: -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17 and 268379.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 512.3692l?\nAnswer: 512369.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2220 times 3?\nAnswer: 6660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-8)\/(-6)*268\/(-48) and -46.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of 0*s**3 + 0*s - 6\/25*s**5 - 34*s**2 - 4\/175*s**7 + 0 + 1\/560*s**8 + 11\/100*s**6 + 9\/40*s**4. Factor c(q).\nAnswer: 3*q*(q - 3)**2*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1480.553 and 0.4.\nAnswer: -592.2212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-5 + (-54)\/(-10)) - -8. Solve -2*t = -5*a + 4, 3*a + i*t + 6 = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -4*v + 3*x, 3*x - 39 = -4*v + 2*x. Calculate the smallest common multiple of 4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2 + 4 + 3*j**2 + 2*j - 4*j**2 + 0*j**2. What are the prime factors of n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 4*n**2 + n + 2. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 2 = -4*h + 4, -2*h + 12 = -2*r. Suppose h*c = -c - 40. What are the prime factors of c\/24 + 254\/6?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(70)*-2)\/(sqrt(160) + -2*sqrt(160)) + 2.\nAnswer: -3*sqrt(7)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1064933423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llrlrlmoa. Give prob of sequence mo.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 9*x. Let q(p) = 4*p. Let c(b) = 5*q(b) - 2*s(b). Let i be (1\/(-1) - -1)\/2. Let g(a) = a**2 - 3. Let d be g(i). What is c(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14 by 130146.\nAnswer: -7\/65073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o - 16 + 16. Let j be q(4). Sort j, 7, 4 in decreasing order.\nAnswer: 7, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 - 5*v**2 + 3*v + 1. Let z(l) = l**2 - l. Let k = -8 - -23. Let n = k + -11. Suppose n*w + w = 5. What is w*b(u) + 3*z(u)?\nAnswer: u**3 - 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39379046 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - 19\/(-3))\/(6\/243). What is the greatest common factor of 30 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 309468463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4946773 and 1599.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 4*w - 6. Let z(f) = 3*f - 5. Let t(l) = l**3 - 16*l**2 + 38*l + 10. Let n be t(13). Calculate n*z(j) + 2*s(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*s + 4*s - 14. Which is the second smallest value?  (a) 0  (b) -4  (c) s  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wlwzzpzzwzpzzpl. What is prob of picking 2 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -5*v - 12, -20*v = -i - 23*v + 20. Suppose 15 + 41 = 4*p. What is the remainder when p is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 + -15. Suppose -2*q + 14 = -2*j, -8*j - g = -4*j. Suppose 2*n = 3*i + 27 + 1, -4*n + 12 = 5*i. What is the remainder when n is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02709483578 rounded to six decimal places?\nAnswer: 0.027095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 3 = 0, -s - 5*p = 7 - 2. Suppose 4*m + 2*d + 30 = d, s = 3*d + 6. Let u = 11 + m. Solve -u = g + g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 6) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2151 + 2147. Sort 4, f, -5, -141 in descending order.\nAnswer: 4, f, -5, -141","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90*k + 751 = 31. Let j be 1 + 2 - (4 + -4). Suppose -89 = -5*u + w, u + 2*w - 17 = j*w. What is the smallest common multiple of k and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48600*f**4 - 179600220*f**3 + 624018066*f**2 + 13933587*f + 77532 = 0 for f.\nAnswer: -1\/90, 7\/2, 3692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of 0*i**5 - 6*i**2 + 13\/210*i**7 + 0*i**6 - 7\/2*i**3 + 0 + 0*i + 0*i**4. What is the first derivative of z(v) wrt v?\nAnswer: 52*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 372\/20 + -21 + 3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 4 = -5*b, 0 = 2*b + 3*z - 3 - 17. Let p(f) = f - 2. Let c be p(b). Solve -c = -2*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -3. Suppose -5*x - 24 - 86 = k. Let s = 68 - 91. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 3*y**3 - 2*y**2 - 4. Calculate n(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3911 + 3175727\/812. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -1b?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-104)\/169)\/(6068\/1066).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216 divided by 6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of g**4\/2 + 2*g - 2. Let c(b) = 9*b**2 - 6*b. Let k(d) = -10*d**2 + 7*d. Let u(s) = -7*c(s) - 6*k(s). Give h(u(q)).\nAnswer: 54*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*d + 96*d**2 + 30*d - 65*d in the form i + c*d + x*d**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {p: 1, c: 2, x: 2, z: 4, r: 2, w: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1)\/u)**(17\/3)*(u\/(u**(2\/5)\/u))**(-11))\/(u**4\/u**(-5))**(-5\/7) assuming u is positive.\nAnswer: u**(-2363\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12\/527 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13*(-12)\/156)\/((-21)\/35).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 5:01 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173*s + 539714 = 548883 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/1175 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 120829678?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -51*u + 10. Let i be p(1). Let z = 59 + i. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8187*s**2 + 8626*s**5 + 16954 - 8452 - 8502 wrt s.\nAnswer: 517560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h + 32 = 2*h. Let b = h - -4. Sort -5, b, 4 in increasing order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1260484 is divided by 70?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(170) + (sqrt(170) - (sqrt(170) - (sqrt(170)*-2 + sqrt(170))))))\/(-2*sqrt(640)) + -5 + ((sqrt(238)\/sqrt(7)*3)\/sqrt(2))**2.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6598*m**3 - 7714.\nAnswer: -19794*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 205 divided by -41.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.0884  (b) -72\/35  (c) -1\/5  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/3 - 1\/3*k - 1\/3*k**2 = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 8330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*t - 5*t + t)*(323 + 954 - 202) as l + b*t and give b.\nAnswer: 1075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.36 - -0.24. Let c = 3 - p. What is the third biggest value in c, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -3*w + 40, -5*z = -9*w + 5*w + 60. Suppose -90 = w*y - 26*y. Solve 5*a = 2*a + y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 - (-22 + -1 + 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.02629 - -5.02629. Let h = -6 + 8. What is the second smallest value in k, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i*i*i*i**(-1\/10)\/i*i)**(32\/5) assuming i is positive.\nAnswer: i**(784\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u*u**(-3\/8)*u**8 assuming u is positive.\nAnswer: u**(77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.216 + -3.786. Let a = p - 0.43. What is the second smallest value in a, -0.01, -6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -2  (c) 2\/9  (d) -169  (e) -1\/5  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/3))**(-2\/35)\/(m*m*m**(2\/7)*m)**(-1\/33) assuming m is positive.\nAnswer: m**(71\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*b - 9 - 423 + 72 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 8:46 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + -6*776\/(-4560). Sort 2, -2, u.\nAnswer: -2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = r - 2*s + 10, 5*r + 2*s - 50 = 0. Let h(c) = c**2 - 2*c. Let q be h(3). Suppose -r - 35 = -q*d. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9230404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3157 in 5, -2, -1\/4, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*t**3 + 8*t - 8 + 22 + 4*t**3 - 5*t**3 wrt t.\nAnswer: 3*t**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-4)\/6 - 2*(-75761)\/42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 16*p**2 - 2*p - 7. List the prime factors of x(3).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 8 - 3)*(-4 + 2 + 1)*(-m**4 - 2 + 2).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 2, v: 3, w: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (0 + sqrt(1300) + sqrt(1300)*-2 + 2)**2.\nAnswer: -40*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*a - y - 14, -3*a + 159 = -4*y + 155 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 41\/148 - 1\/37. Let v = 9 - 6. Which is the closest to s?  (a) -0.3  (b) 4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*v = 40*v + 175. Solve 3*f**2 - 19*f - 2*f**2 + v*f - 7 = 0 for f.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2833*f + 29771 = -66551 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*a**2 - 5 + 11*a**2 + 2*a - 3*a as g + y*a + p*a**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.31 minus 0.029?\nAnswer: -12.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 2413712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(1\/13))**(-3\/2)\/(y**(-7))**33 assuming y is positive.\nAnswer: y**(2985\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4050 + -3896. What is the greatest common divisor of u and 6160?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by -294.\nAnswer: 4\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 520099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3641 in 1.1, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ufl when three letters picked without replacement from {l: 1, h: 1, x: 1, v: 1, u: 1, f: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4085 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 1:14 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -2 and -3904861.\nAnswer: -3904863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 3*x - 3*n, 2*n = -161*x + 164*x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m + 3*m - 30 - m - 12 + 16. Let s be v(6). Let c(o) = 10*o + 16. Let g(n) = 3*n + 5. Determine s*c(f) + 7*g(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 + 3*f + 4. Let o be c(-2). Let v be 0 - (0\/(-4) + 4). Put v, o, 61, 4 in descending order.\nAnswer: 61, 4, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s*s**(-3\/13))*s**(-2\/51) assuming s is positive.\nAnswer: s**(127\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 4*b**5\/9 - 488*b**4\/9 + 3280*b**3\/9 - 2312*b**2\/3 + 460*b = 0.\nAnswer: 0, 1, 3, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) -2  (c) 20  (d) -27  (e) -2\/19  (f) -22  (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -2212*x + 33035. What is j(15)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of -d**5\/20 - 5*d**3\/3 - 3*d**2\/2 - 2*d. Let b be j(-7). What is b rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 157.6 + -147.97. Let d = -0.63 + u. Let m = -13 - -8. What is the second smallest value in -0.1, m, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) 0.3  (b) -5.6  (c) -194  (d) 3\/8  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77149*-0.02.\nAnswer: -1542.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2896153 is divided by 1013.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -1638.767.\nAnswer: -3277.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-44)\/8)\/(((-2)\/1)\/4). Suppose x + 5*w = 5, 8*x - v*x + 15 = -w. Solve o - 4*i + 14 = 0, -2*o - x*i = -2 - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216120617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Convert 10200212221 (base 3) to base 14.\nAnswer: 1c773","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14030?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 9*m**2 + 17 + 0*m + 6*m**3 + 10*m - m**3 - 4*m**3. Let n be p(-8). Let a be (-2)\/(-10) + (-6)\/(-60). Is n less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 1510.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -14621141447.4 - -51\nAnswer: -14621141396.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 1\/13325634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(11) + 2*sqrt(11))*-4 + -6*(-2 + sqrt(396)).\nAnswer: -48*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llwwwlllwlwlwllwwwww. What is prob of sequence wlll?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*1 + (-237)\/(-15). Let x = -15 + c. Let y = 0 + -0.1. What is the nearest to y in 2, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -113 + (-20664)\/(-205) + -1 + 4 + 4.\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 107, 114, 125, 140, 159, 182?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*k**3 - 24897*k**2 - 17222499*k - 5738067 = 0 for k.\nAnswer: -1383, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 - 667 = -5*q + 3*z, 3*z - 120 = -q. Calculate the remainder when q is divided by 116.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (33\/(-6) - 1)\/(3\/2220). Let o = 14103 + t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2 + 2505474*s - 22549104.\nAnswer: -2*(s - 1252728)*(s - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 72548835811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, 10, -4, -44, -122, -250?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25580055 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 108*o**2 - 2*o + 1. Let f be i(1). Suppose -g + 5*g + 36 = 2*u, g = 4*u - f. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/13 in 1, 26, -5, 9\/4, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 - 10?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4795, 5179, 5567, 5959?\nAnswer: 6355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = -y + 3*i, -i - 67 = -2*y + 16. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, n: 5}. What is prob of picking 1 n and 3 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3266, 6531, 9796?\n\"Answer: 3265*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-142)\/(-35) - 4 - 1215\/(-175)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) - (sqrt(170)*-1 + sqrt(170))))*-1 + sqrt(170) - 4*sqrt(170)*-3)\/(sqrt(10) + 3*sqrt(250) + (sqrt(250)*-3 - sqrt(250))).\nAnswer: -11*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a microgram in nanograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13804\/374 - (-516)\/473?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*s**2 + 5*s - 95*s**2 - 5*s + 91*s**2.\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 186 divide 22148517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6456144 is divided by 121.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-20) + 92\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 13) to base 12\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ej when two letters picked without replacement from emjrbjmb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/(-16)*4 + (-18)\/7. Which is the third smallest value?  (a) 4  (b) 2\/5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103530 = 18419*r - 18377*r. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8984623 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 516.53 and -8.\nAnswer: -4132.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2*1)\/2 - -21. Suppose 0 = 6*k - k + s. Suppose 0 = -n - 7, 5*n = -4*c - 3 - 12. Sort 4, k, c in increasing order.\nAnswer: k, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 427*z - 7687 + 1947 = -128*z + 920 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjj when three letters picked without replacement from {x: 3, q: 2, j: 8, e: 6}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -17347193 < -17347192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/30787 + 616663\/28416401. Find the common denominator of i and -39\/781.\nAnswer: 10153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/15)\/(-1*2\/(-40)). Suppose -7 - 33 = -5*w. Let a = w - r. Solve a*t - 8 = -5*t + 4*g, 0 = 5*t + 2*g + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 AM and 11:10 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (1 + -8 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/26 and -111\/598.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/2134 and ((-10)\/70)\/(15\/105) + 51\/(-10).\nAnswer: 10670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/20*(-17 + 16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -10. Let b be (-3*(-180426)\/225)\/(n\/(-10)). Let c = 3013 - b. Calculate the common denominator of c and 43\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -4*n + 3. Let p be 1\/1*12\/(-4). Let m be p + 2 - (9 - -1). Let v = m + 16. Let b(t) = -7*t + 5. What is v*q(x) - 3*b(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 83.29 - 83.49. What is the closest to p in 0.1, 1\/2, 1\/3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-17)\/(-3) - ((-84)\/(-18) - 4). Suppose 25*n - 26*n - k*t + 6 = 0, 2*n - 2*t = 0. Let r(d) = -1 + 5*d - 2*d + 4*d**2 - d. Give r(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 49660 - 34449. Does 53 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/22 and -59\/5400130?\nAnswer: 59401430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 5 + 6 + (-3 - -2 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -n**2\/4 + 31*n\/4 - 29\/2 = 0.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/9 and -4\/14715?\nAnswer: 14715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**17)\/n)**(12\/7)*(n\/(n**16*n)*n)**40 assuming n is positive.\nAnswer: n**(-4404\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2199852 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 63*u**2 + 15*u - 41. Is b(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-90)\/70 - (-14 - (19 - 3042\/91))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16617 and 191.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/(-6))\/(2\/(-48)). Suppose 0 = 2*q - 7*q - 2*n + 8, 6 = 2*q - 2*n. Suppose 0 = -2*l + q*j + 97 + 3, -h = -l + 3*j. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 60090, 61785, 63480, 65175?\n\"Answer: 1695*s + 58395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-4*(0 + (5 + 1*(sqrt(2736)*-2 - sqrt(2736) - sqrt(2736)) + -4*(2*sqrt(2736) + sqrt(2736)))**2).\nAnswer: -5603528 + 15360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44.2 + -56.2. What is the closest to 0 in 0.1, j, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 4*g**2 - 7*g. Determine f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 20142 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, -0.1, 1915, -14, -0.4, -1, -2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i**2. Let o = 13 - 11. Let v(g) = 3*g**2 - o*g**2 + 3*g**2. Calculate b(v(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-1053)\/6048 - 3\/(-21)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i + 90 + 15 = 0. Let d be (22\/(-5))\/(31\/i - -2). Suppose 4*t - 3*w = -t + d, 2*t = w + 27. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, -16, -56, -130, -250?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -3. Let z = 14 + -9. Suppose 3*r - 1 = 2*w + 62, -5*r + z*w + 110 = 0. Solve 3*s + 6*i - r = 2*i, q*s - 13 = -3*i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of -q**6\/12 - 13*q**5\/40 - 3*q**4\/8 + q**3\/12 + q**2\/2 + 7*q. Determine u, given that v(u) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 7, x: 4}. What is prob of sequence xsx?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*x + x + 2*x)*(-1 - 2*x**3 + 1) + (-1082 - 507 + 590)*(2 + x - 2)*(x - x - x**3) as h*x**3 + y*x + o*x**2 + i*x**4 + t and give i.\nAnswer: 1003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1934 (base 10) in base 11?\nAnswer: 14a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 26547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50769.\nAnswer: 3, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u = -15*u. Let y(h) be the second derivative of h**3\/6 + 6*h**2 - 385*h. Determine y(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -3*h**3 - 58*h**2 - 19*h - 31. Calculate q(-19).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of -7*q**2\/2 - 2*q + 977. Let d(s) = 15*s + 4. Determine 6*d(h) + 13*f(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 421078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 109.0953cm to nanometers.\nAnswer: 1090953000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110122100210 - -1121?\nAnswer: 110122102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 5 - 19 = 4*k, 2*f - 21 = k. Suppose 0*y + 4*y = f. Does 23 divide (-648)\/(-12) + y + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 + 0.2. Let q be 0 - (-6 + -3 + 2). Which is the closest to s?  (a) q  (b) 3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -309 + 319. Suppose o*l + 374 = -l. Which is the smallest value?  (a) l  (b) 2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/19116 and -71\/34992?\nAnswer: 2064528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -108 + 27 + (-10 - (-4 + -19)) + -24?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10565 (base 7) to base 9.\nAnswer: -3622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -45 + 40. Put w, 9, -2, -3 in decreasing order.\nAnswer: 9, -2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -714 times 0.08?\nAnswer: -57.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6015 - -7?\nAnswer: -600a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 23, -0.5, -4\/5, 1\/4 in decreasing order.\nAnswer: 33, 23, 1\/4, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 115, 117, 119, 121, 123, 125?\n\"Answer: 2*p + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -132*0.78\nAnswer: -102.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33 + 58. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fuu when three letters picked without replacement from uuuuuffuffuufffufff?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkkrkkkkrkkkrrkkk. What is prob of picking 2 k and 1 r?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -5*s + 91. Let a be d(16). Sort 1, a, 0 in ascending order.\nAnswer: 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12*(0 - (-7)\/(-3)). Let x(t) = -52*t - 205. Let k be x(-4). Suppose 0 = -13*r + 17*r + w + 118, -r = k*w + 24. Do r and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**3\/7 + 32*d**2\/7 - 67*d\/7 + 34\/7 = 0.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 236 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -7 + -14 + 7 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*k + 19*k = -5*g + 6, -5*g + 13 = 3*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.04 + -0.0400013. What is l rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9942977?\nAnswer: 11, 17, 53171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -111101011000000101111?\nAnswer: 111101011000000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3014281 is divided by 118.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007678617 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -431645 divided by 1?\nAnswer: -431645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 3*x**3 - 22*x**2 + 10*x + 21. Let n be b(8). What is the highest common divisor of n and 9847?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 PM and 6:54 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -9197944 and -9197944 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1306894 and 3638984?\nAnswer: 4618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -338, -505, -774, -1139, -1594, -2133, -2750?\nAnswer: -3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + s + 1. Let k = -3 + 5. Let m(y) = 2*y**4 + y**3 - 2*y - 1. Let b(j) = k*m(j) + 2*w(j). What is the second derivative of b(r) wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -7*b**2 - 14*b - 5. What is c(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 594 and 444.\nAnswer: 43956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 122497, 122500, 122503, 122506, 122509, 122512?\n\"Answer: 3*c + 122494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3766413.\nAnswer: 3, 7, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 24*p**3 + 28*p**2 - 4*p + 1. Let s(b) = -17*b**3 - 19*b**2 + 3*b. Let x(h) = -5*n(h) - 7*s(h). Calculate x(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l**5*v + 2*l**5 + 36*l**3*v - 27*l**2*v + 100*l*v + 3 wrt l.\nAnswer: 60*l**2*v + 120*l**2 + 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 715*b**4 - 715*b**4 - 18*b**5 + (-2*b + 2*b - b)*(-2*b**4 + b**4 - b**4) - 2*b**3 + 2*b**3 + b**5 + 11*b**5 - 15 + 15.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (((-30)\/(-9))\/(-5))\/(4\/(-678)). Suppose -106*d + u*d = 49350. What is d rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.48 + -0.5. Let h = c + 0.62. Let v = -5.6 + h. What is the third smallest value in -0.3, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 17, 4, 5 in descending order.\nAnswer: 17, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.173 and -18.\nAnswer: -17.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 208051704 and 35413056.\nAnswer: 1664413632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -206 + 209. Let n(p) be the second derivative of 0 - 1\/80*p**5 + 2*p - 1\/12*p**q + 0*p**2 + 1\/16*p**4. Factor n(b).\nAnswer: -b*(b - 2)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**3)\/w*w*w\/(w\/(w\/((w**(-1\/4)\/w)\/w)))*w\/(w*w**0)*w*w\/(w*w*w*w**3)*w*w*(w*w*w**9\/w*w\/w**5)**48 assuming w is positive.\nAnswer: w**(1173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -919 + 1107. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 6*f - 10. Suppose -105 = 123*i - 228*i. What is u(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18081 + 26284. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/(-5))\/(2*(46\/(-6900))\/(2\/(-6)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -472, -931, -1388, -1843?\n\"Answer: i**2 - 462*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 134094247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 1.1. Which is the nearest to r?  (a) 5  (b) -1  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 5 = 15. Let f = k - -3. Calculate the lowest common multiple of 3 and 9 - -2*(-1)\/f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3564563\/190 + 18761. Let y be 1\/(-15)*(-20788)\/304. Let t = u - y. What is the common denominator of t and -1\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3  (b) 1\/7  (c) 11.42  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 429*c. Let j(d) = -13*d + 9. What is j(l(b))?\nAnswer: -5577*b + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(891) - (-1*sqrt(891) - sqrt(891))) + 5.\nAnswer: 5 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18775259*l*x**5 - 18964316*l*x wrt x.\nAnswer: 375505180*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 3*t = 0, 0*t + 5*t = -2 + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -1 + (11 - (10 + -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24 - -72. Suppose j = 8*n - 328. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*l + 17*l + 13*l = -133 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 298 = 5*h + 2*y, -3*y + 3 = 0. Solve 6*n = -4*n - h for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -35 - -59. Calculate the common denominator of (-378)\/u - 1\/(-4) and -2 - (282\/(-20) + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9674 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 144 + -1006\/7. Factor -4\/7 + h*j**2 - 2\/7*j.\nAnswer: 2*(j - 2)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -282738 divided by -6\nAnswer: 47123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 8. Let a be n\/(-2) + 10\/5. Factor 1\/2*x**4 - 1\/2*x**a + 0 - 1\/2*x**3 + 1\/2*x.\nAnswer: x*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.3  (b) 1\/19  (c) 1\/3  (d) -26  (e) -2\/3  (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -4*t + 1. Let w(v) = -v. Let p(d) = -7*w(d) + 2*z(d). Is 6 a factor of p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seventeen halves of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 8) to base 5.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 34102*m + 102308. Let y be z(-3). Factor 8\/9*f**y + 2\/9*f - 2\/3.\nAnswer: 2*(f + 1)*(4*f - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2893 - d2?\nAnswer: 27a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.57 - 3.63. Let w = m + 1.9. Let b = w + 0.56. Put 2, -2\/13, b in decreasing order.\nAnswer: 2, b, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36152327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -537*i - 27*i**2 + 537*i - 4*i**2 + 5*i**2 - 3*i**2 + (-2 + 2 + i)*(-i + 2*i - 3*i) + (i**2 + 0*i**2 + 0*i**2)*(1 - 2 + 0) + 3*i**2 + 4*i**2 - 4*i**2.\nAnswer: -29*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 1078*g + 5. Give z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (45\/(-2))\/3*(-10960)\/30. Is -4 - (1 - (c - (-1 - -2))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-12)*p**(3\/8))**19*((p*(p\/(p*(p*(p**(1\/2)*p)\/p)\/p*p))\/p)\/p*p)**(-15\/7)\/(p**(-1\/3))**(-2\/47) assuming p is positive.\nAnswer: p**(-1718761\/7896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3*l + 5 = 0. Let k be 2\/36*22 - l. Let q = -2030\/13 - -156. Which is the third biggest value?  (a) q  (b) -1\/7  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 33 + 51 = 0. Let w(x) = -2*x + 16. Let n be w(l). Solve -4*r - 1 = 3, -n*s = -3*r - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 2*o = -5*d + 75, -4*o + 20 = 0. Let q(n) = n + 23. Let g(b) = -b**2 + b + 2. Let c be g(2). What is the remainder when q(c) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -3*u**2 + 9*u - 15. Let n be f(6). Is -69 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**2 - 6*v**2 - 5*v**2 + 2*v**2.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13.06 + -34.335. Let l = -65.3 - -65.125. Let j = m - l. Round j to 0 decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3. Let w be f(0). Suppose -3*l = w, 4*u + u = -5*l + 10. Suppose 7*i = 3*i + 4. Sort i, 5, u in increasing order.\nAnswer: i, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 368 = 4*c. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*(-4 + 3 + 2). Suppose -2*t = -3*a + 19, -18 = -4*a - n*t - 2. Suppose -15 = -a*s + 50. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, p: 6, j: 6, a: 3, h: 2, m: 2}. Give prob of sequence jgj.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of -31*l**6\/120 + l**4\/24 + l**3\/3 - 10*l**2. What is the remainder when o(-1) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83762.\nAnswer: 2, 7, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 11 + 2790*w**2 - 2789*w**2 + 0 + 11.\nAnswer: w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -17*i - 4. Is a(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of o**7\/420 - o**6\/120 + 5*o**3\/3 - 5. Let f(n) be the third derivative of x(n). Find the third derivative of f(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 584 and 4770550?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.7772359cm?\nAnswer: 7772359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/75*(8 - 3).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0.2, 3, 5\/206?\nAnswer: 5\/206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 2536 and 2534 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, 2\/9, -12 in ascending order.\nAnswer: -12, -4, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*p - 4*p - 44 = 0. Is 689 + (-10)\/5 - p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 18 = -82. Suppose -y = 5*h - i, 4*h + y + y = 26. Find the first derivative of 57*u**4 + 2 - 60*u**h - 4 wrt u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from immmimimmiimiiiiiii.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 1 - 2)*(2 - 5 + 1)*(-252*g + 511*g - 253*g - 115).\nAnswer: -120*g + 2300","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 2*u - 86 + 26 = 0, 69 = -q + 5*u. Calculate the remainder when 5 is divided by (2\/(-3))\/(9\/q).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 - 0.2. Let a = 0.1 + 0.9. Let w = -9 - -6. What is the third smallest value in n, a, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -2, 3, -3, -4.\nAnswer: -4, -3, -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(3 - (8 - (-6)\/(-4)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 - 4. Let x be (-4)\/(f\/(-22)) + 3. Suppose 0 = -5*d + s - 6, -3*d + 0 + x = -5*s. Let o(k) = k**2 - 2*k + 1. Calculate o(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*x + 20279 = 61265. What is the remainder when 440 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.206 - -301.\nAnswer: 300.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 5 - 3 + 177984*v**2 - 177983*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11087558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 - 5*w - 3. Let f be a(6). Let p = 9 - -4. Calculate the remainder when 7*1\/f*21 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 9:35 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 10406661, 10406668, 10406675, 10406682?\n\"Answer: 7*v + 10406654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yaiidmoaayyd. What is prob of picking 1 y, 1 m, and 1 o?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 12, p: 5, c: 2}. What is prob of picking 3 p and 1 c?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 60*y - 43. Let i be w(9). Let s = 717 - i. Let m = s + -91. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 240 - 239.6. Let k be 4\/(1 + 0) - 4. Put r, 0.41, 2\/9, k in descending order.\nAnswer: 0.41, r, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 5*a + 4 = -r, -5*r - 4*a = -36. Suppose 7*g - 3*g = 2*m + 52, r*m = 2*g - 26. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215752 is divided by 588.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1090483 is divided by 754.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*k + 2*b + 14, -k + 4*b + 7 = 0. Let s(i) = 0*i - 2 + 8*i + 2*i**2 + 0 - k*i. What is the units digit of s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - -1001011011011011001010001?\nAnswer: 1001011011011011001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*z + 20*z - 6*z - 32*z - 34*z - 15.\nAnswer: -77*z - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -10*-7971\nAnswer: 79710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((d*d**(-3))\/d)\/d*d)\/d**(-6))\/((d**(-20)*d)\/(d*d*d**(11\/5))))**(-8) assuming d is positive.\nAnswer: d**(-1048\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) - ((-2*sqrt(119) - sqrt(119)) + sqrt(119) + sqrt(119)))\/sqrt(7)*-6.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 + 13*d**2 - 17*d + 3. Let h = 86 + -73. Let w be y(h). Let t = -105 - w. What are the prime factors of t?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 - 28*l. Let j(w) = -316*w - 140. Let r(n) = -210*n - 100. Let u(k) = 5*j(k) - 7*r(k). Determine q(u(x)).\nAnswer: 12100*x**2 + 3080*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of 196\/3*b**3 + 34 - 5*b + 0*b**2. Let p(l) = l**2. Calculate p(i(j)).\nAnswer: 153664*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1459*a + 5031 + 5487 + 28875 = 0 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*j = -12*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -696?\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -2 - (1 - (-44)\/(-8))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1389*w + 896*w - 9367 = 0 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2\/11, 43, 3\/5, -20, 6, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 4*c = -166, -4*x + 308 = -0*c - 4*c. Suppose -5*p + 101 = -x. Suppose 6*g - p = 3*g. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -191 in -0.47, -6, -1\/5, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -3*j. Let z(g) = g + g + 123 - 123. What is z(r(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 2*g = -15. What is the third derivative of 4*i**4 + 5*i**2 - 41*i**3 + 41*i**g wrt i?\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 12. Which is the nearest to 2\/5?  (a) 0.2  (b) g  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (121*b**2 - 206*b**2 + 28*b**2)*(-3*b + 0*b + 4*b) + (6 + 3 + b - 2*b)*(0*b**2 + 2*b**2 - 3*b**2) to the form g*b**3 + c + m*b + x*b**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 2*u = -34, -2*c + c - 2*u = -20. Round c to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = 18*w - 16*w + 22, 0 = 3*w + 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.12999807 - -1.13. Round y to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oaww when four letters picked without replacement from {w: 9, a: 4, z: 2, o: 3}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the third derivative of 4633*z**8\/336 - 1139*z**5\/15 + 2755*z**2. What is the third derivative of y(q) wrt q?\nAnswer: 277980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*x = -k + 17*x + 8680, -5*k + 43466 = x. Is 82 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3816.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*l**2 - 12270*l - 12546075\/4 = 0 for l.\nAnswer: -2045\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -16*t**2 + 7*t + 7. Let r(z) = z + 1. What is 2*c(w) - 14*r(w)?\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of p**5\/20 - 23*p**4\/6 - 52*p**3 - 4049*p. Factor t(j).\nAnswer: j*(j - 52)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5993, 18457, 39227, 68303, 105685?\nAnswer: 151373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 145767 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6157146 - 6157146.5073271. Let p = 0.2926773 - l. Let m = p - 0.8. Round m to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2830391?\nAnswer: 2830391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + 5*g**2 + g + 5. Let r be h(0). Put r, 4, 0, -1 in decreasing order.\nAnswer: r, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110344024 is divided by 27586000?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 107147 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 487 - -2?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 123200 (base 5) to base 9\nAnswer: 6523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 115 = 5*g, -6*g = -5*k - g + 145. Let f be -9 - -12 - k\/18. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-7)\/l)\/l**(3\/5))\/(l**(-1)*l*l**4\/l)*(l**(-3\/2)\/l**(1\/8))**(-46) assuming l is positive.\nAnswer: l**(1263\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 15572943 to the power of 1\/2, to the nearest integer?\nAnswer: 3946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 273 divide 20941011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2091813?\nAnswer: 3, 697271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*s - 2*s. Let x = s + 2. Is (-2 - -2) + x - -31 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(a*a*a\/((a\/a**11*a)\/a))*a)\/(a\/(a\/(a*a**8))*a)*(a*a*a**(-1\/16)\/a*a)\/a**(-1\/2))**(-2) assuming a is positive.\nAnswer: a**(281\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 2*z + 35 = 43, -40 = -10*b - 2*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2184367*l**2 - 10087815*l.\nAnswer: -4368734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 95562348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b = -1743 - 217. Is b > 139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - 9*x - 10. Let k be n(-8). Let m(q) = q + 2. Let z be m(k). Solve z*p - 10 = 5*p, -4*p - 8 = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*r - 22799 + 23649 = 0. Which is greater: 18 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/324 and 179\/3696?\nAnswer: 99792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48069810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -50. Suppose -n*j = -39*j. Put j, 2, -12, 3 in increasing order.\nAnswer: -12, j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12456 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 42+2891597568\nAnswer: 2891597610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-10 - -11)\/((-275)\/(-40) + -7). Sort x, -20, -1 in decreasing order.\nAnswer: -1, x, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -93*z. Let u(k) be the second derivative of -6*k**4 - 10198*k. Calculate u(c(i)).\nAnswer: -622728*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1106)\/(-3) + 2\/6. Suppose -88*b + 145*b = 8664. Suppose -b = -v + h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18.3 - 3.3. Let d = y + -15. Which is the nearest to 2?  (a) d  (b) 5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 3, -2*n - 18 = 2*v - 6*v. Let g be n - 7\/((-42)\/(-114)). Which is smaller: g or -106\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(3*a + 3*a + 5*a) + (-4*a - a + 3*a + (-1 + 0 - 1)*(4 - 4 + 2*a) - a + 2*a - 2*a)*(0 + 4 + 1).\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 17880\/7 in -1\/6, -1, -0.2, -4.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10592474\/1195 + 8864. Is 0 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(4\/7)\/g)\/g)\/(g\/(g*g\/(g*g**(-1)))))**(2\/11)\/((g**0*g)\/g**0)**31 assuming g is positive.\nAnswer: g**(-2393\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, f: 6, a: 3, e: 3}. Give prob of sequence aae.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54, 35, 14, -9?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 92 and 12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1118 is divided by 369.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + 0. Let b(u) = -10*u - 2 - 4 - u**2 - n*u - 1. Let w be b(-8). Round w to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(1300) + sqrt(1300) + (sqrt(1300) + 1)*-5)**2 - sqrt(1300) - (-1 + sqrt(1300))*5).\nAnswer: -46920 - 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9788.1 + 9793.1. Let w = -25 - -78. Sort p, -3\/8, w, -0.1.\nAnswer: -3\/8, -0.1, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -0.2, -0.75, -3.7, -1\/10, -0.35, -1\/2?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 2*q = -1. Let l = -769 + 26913\/35. Let v = 39\/70 + l. What is the third biggest value in q, 2\/9, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -89.83 + 91. Let v = -70.17 + j. Let d = -69.0000062 - v. What is d rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 414\/46 + -18 + 44\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 200 is divided by 12\/(-40) + (-5958)\/(-60) + 2?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from chhcchhccchhcchhchhc. What is prob of picking 4 h?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 494.4633 tonnes in grams?\nAnswer: 494463300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 - 12*l + 10. Let d be m(-10). Let f = d - 26. Suppose 0*n = f*n - 76. What is the remainder when n is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 3:17 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112*k + 107*k = -2*d + 19, -16 = -k + 5*k - 2*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 - 74 = 5*d. Let b = -20 - d. Solve 0 = 5*w + u - 11, b*w - 2 + 7 = -5*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - t + 4*t)*(1 - 3*t + 6*t - t).\nAnswer: 4*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 + 4*a - 3. Suppose -3*s + 9 = -0. Let b be k(s). Suppose 5*g - 9 = 3*l + 5, 0 = -l - 4*g + b. Solve q - l = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3*j - 4 - 4*j + 0*j + 6*j + (j + j - 4*j)*(6 - 3 - 4) + 2*j - 3*j + 2*j + 4*j + j - 3*j)*(14 + 47*j - 7 - 45*j).\nAnswer: 8*j**2 + 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 6651*c**2 - 1. Let x(n) = -6*n**2. Give t(x(h)).\nAnswer: 239436*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12 + -22242203?\nAnswer: -22242220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 2*v = -14272. Suppose 3*o - v = 121. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/6)\/((-2)\/12). Solve 4*d**b + d - 5*d**2 + d**3 - d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3767 + -2979. What is the remainder when p is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2784 - -5544. List the prime factors of g.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6048 - 3400. What are the prime factors of z?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 33843.8323087 + -33827.5245. Let t = 16.80781 - u. Let z = t + -0.5. Round z to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g - 5. Let s be (-1)\/((-2)\/8 - 8\/(-24)). Calculate the remainder when 18 is divided by c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(380)*-2 - sqrt(380))\/sqrt(10) - sqrt(38))\/(sqrt(72)\/sqrt(4)).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do -81895\/2 and -40949 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of -4*w**5\/5 + 5*w**4\/3 - w. Find the third derivative of z(p) wrt p.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -8*h**2 - 4*h - 2. Let z(g) = 7*g**2 + 3*g + 1. Let r(w) = 4*s(w) + 5*z(w). List the prime factors of r(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22b (base 14) to base 2\nAnswer: -110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 204576842.\nAnswer: 2, 102288421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmmjmmfmmm. What is prob of picking 1 m and 1 f?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67468644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v + 34 - 73 + 39. Let b(d) = 4*d. Give b(k(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.3813185g?\nAnswer: 381318.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 + 2. Let h be (-5)\/((-1)\/2 + 1). Let u = n - h. Solve -s - u = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + sqrt(50)*-1).\nAnswer: -10 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of 5*g**4\/3 - g**3 + 13*g. What is the second derivative of x(l) wrt l?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*x = -174*x + 207 + 11604 for x.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)\/(sqrt(9) + sqrt(36)\/sqrt(4)*-4) + 4 - (sqrt(2112) - sqrt(2112)*-2)\/(2*sqrt(891) + sqrt(891)))**2.\nAnswer: -88*sqrt(3)\/9 + 553\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (34\/5)\/(264\/997260)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, o: 6}. What is prob of picking 2 o?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5045 to 2 dps.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/(-444))\/(3*(-6)\/144*-3).\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -240*g**3*p**3 - 81*g**3*p**2 + g**3 + g*p**4 wrt p.\nAnswer: -1440*g**3 + 24*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.19 + -3.81. Let p = -55.1 + 55. Let m(z) = 3*z**2 - z - 1. Let c be m(-1). What is the nearest to p in c, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -841548 + 840968 = 5*z for z.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -11\/42*c**7 + 0*c**4 + 0*c**2 - 8\/3*c**3 + 7*c + 0 + 0*c**5 + 0*c**6. What is the second derivative of v(t) wrt t?\nAnswer: -220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4499.\nAnswer: 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 144\/(-60)*(222\/63 - 4).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 8:37 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 12881 = 55681. What is z rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.18 - 0.08. Let w(b) be the third derivative of b**4\/24 - 7*b**3\/6 + b**2. Let c be w(5). What is the third smallest value in c, m, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 81 divided by 460\nAnswer: 81\/460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kei when three letters picked without replacement from xfppike?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of f**5\/60 + f**4\/24 + 16*f**2. What is n(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 27*g - 1. Let c(m) = 13*m - 1. What is 5*c(p) - 2*v(p)?\nAnswer: 11*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -3, 750, -58 in decreasing order.\nAnswer: 750, 5, 4, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1205 in 0.041, -9, -0.5, 21?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 72*a**6 - 3*a**2 - 81*a**6 - 11*a**2 wrt a.\nAnswer: -1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 827 = u, -2*y + 3*u + 464 - 53 = 0. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1099 - -1103 - (-50 - 0)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.3884 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of -8*d**2 + 0*d + 1\/12*d**4 - 1\/120*d**6 + 0*d**3 + 1\/20*d**5 + 0. Let x be 5 - 1 - (4\/4 - 0). What is j(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2153 + 1177. Calculate the greatest common factor of m and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -257 - -262. Let o(p) = 42159*p**3 - 3*p + p**2 + 6 + 9 + 4*p**2. Let w be o(j). What is w rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -55280 to the nearest one thousand.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -237, -474, -707, -936, -1161, -1382?\n\"Answer: 2*m**2 - 243*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9725*z**5 - 19*z**2 + 553673*z?\nAnswer: -194500*z**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**3 + 6135*n**2 - 1915200*n + 20331520.\nAnswer: -5*(n - 608)**2*(n - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 - 0.1. Let s = -90.27 - -90.47. Which is the third biggest value?  (a) 2  (b) -3\/7  (c) p  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1142?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 55701 and -0.606.\nAnswer: 55700.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -588*n + 1554*n - 3864. Let q(c) = -9*c**3 + 4*c**2 - 4*c + 2. Suppose -1 + 3 = -2*l. Let f(u) = -u**3 + u**2 - u + 1. Determine l*q(m) + n*f(m).\nAnswer: 5*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 8*c**3 + 11*c**2 + 6*c + 11. Let y(u) = -3*u**2 - 4 + 119*u**3 + 8*u**3 - 2*u - 130*u**3 - u**2. What is -4*d(i) - 11*y(i)?\nAnswer: i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 + 7*h**2 - 12*h - 31. Let d be v(-8). Let w be 2*(-5)\/(-2) - -1. Let s = 9 - w. Sort -3, s, d.\nAnswer: -3, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/2*(-3434)\/(-18887)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68164 is divided by 22512.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.13 - 0.27. Sort -5, -1, t in descending order.\nAnswer: t, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 12825.57g?\nAnswer: 12.82557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -98440, -196880, -295320?\n\"Answer: -98440*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/13))**(1\/8)*(c*c*(c*c*c\/(c**(-2)*c))\/c)**(2\/101) assuming c is positive.\nAnswer: c**(419\/5252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13008378.\nAnswer: 2, 3, 47, 163, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 4 - o + 2*o + 0.\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (-15 - (-8256)\/4176).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 3*r**2. Let h(j) = -109*j**2. Give h(u(p)).\nAnswer: -981*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*o**4 + 892*o**3 + 360*o**2.\nAnswer: -4*o**2*(o - 45)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2\/4 - 59*u\/4 - 693\/2.\nAnswer: (u - 77)*(u + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 521652*z - 16171229. Give p(31).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 32423, 32431, 32439?\n\"Answer: 8*b + 32415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1578*z**4 + 9065.\nAnswer: 6312*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, -2\/11, 12.296 in increasing order.\nAnswer: -25, -2\/11, 12.296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - 0. Suppose -7*d + 5*d = 5*s - 30, 14 = s + 2*d. Put s, 2, i in increasing order.\nAnswer: i, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 42158909 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 743 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 16*q - 1. Determine p(-12).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 106142450551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -25 + 26402?\nAnswer: 26388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5103193.\nAnswer: 113, 45161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 1917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.03987 - -9.03987. Which is the nearest to 2\/3?  (a) -3  (b) -1\/2  (c) m  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/16 + 8\/64. Suppose c + v - 1309995 = -n*c, -5*c = -5*v - 6550025. What is c rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**2 - 15*n + 3. Let o(z) = z**2 - 10*z + 2. Let a(q) = 2*b(q) - 3*o(q). Let t(m) = 363*m**2. What is a(t(d))?\nAnswer: 131769*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, w: 1, l: 3, h: 4}. Give prob of sequence llrw.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -567*h**5 - 10626*h**3 - 29*h**2 - 67477*h wrt h.\nAnswer: -34020*h**2 - 63756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 - 8*q**2 - 5*q + 2. Let n be d(-8). What is the third derivative of 0*a**5 + 6*a**2 + 38*a**6 + 0*a**5 - n*a**6 wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2860 is divided by 1407.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 26290855511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 864\/29 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7 + -7 + 2673\/3 + -1. Let t = -482 + l. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*s**3 - 14*s**3 - 8*s**3 - 16*s**3 - 7*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -429*x + 90. Is 36 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(-5 - -8) - (-9 + 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1239.2 rounded to the nearest ten?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1776 = 2*j - 6*j + 4*l, -4*j = 4*l - 1800. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c*c**(-1\/2))**(2\/39)*c**(2\/5)\/((c*c\/((c*c*(c\/(c*(c\/(c*c\/(c*c**5)*c*c))\/c)*c)\/c*c)\/c))\/c))**20)**38 assuming c is positive.\nAnswer: c**(-5168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.03 + -3.97. Let n = s + 1. Let d = n - -3.5. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2 + 4)\/(24\/4))\/(93\/27). Let a = 0.05 + 1.95. What is the nearest to -0.1 in l, a, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/14)\/(((-82)\/(-615))\/((-4)\/10))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 - 45*p**2 - 4716*p + 1673. What is w(-50)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + 12 + -7 - -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of 3*g**5\/5 + 7*g**4\/6 + g**3\/9 - 2*g**2\/3 - 17. Factor q(m).\nAnswer: m*(m + 1)**2*(9*m - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 63246426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26120 + 26126. Which is the third biggest value?  (a) -30  (b) 5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.154474t to kilograms.\nAnswer: 5154.474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 153377275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n**2. Let u(w) be the third derivative of -11*w**5\/6 - 14*w**2. What is j(u(l))?\nAnswer: 24200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*t - 22*t - 91520*t**2.\nAnswer: -91520*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -28 - 20*o + 18 + 5 + 8 + 10. Let u(g) = 2*g**2. What is u(f(n))?\nAnswer: 800*n**2 - 1040*n + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t**2 - 4*t**2 - 365 + 373 - 3*t**3 to n + s*t**2 + c*t**3 + w*t and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 r when three letters picked without replacement from rrlrrrrrrrrlr?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m + 15. What is the tens digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + sqrt(55)\/sqrt(396) - sqrt(50)\/sqrt(360))*-6.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27, -91, -197, -345, -535?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + f - 1. Let x be q(2). Suppose -x = v - 2*v. Suppose 38*z - 624 = -168. Calculate the remainder when z is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23384437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 702 != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*x - r - 42754 = 112*x, 85498 = 4*x + 3*r. What are the prime factors of x?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c + 7*c + 18 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8.65 + 0.35. Let i = -6.7766 - 0.2234. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*f - 11. Let d = -34 - -38. What is the highest common factor of d and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -159 + 78. Let s = -18.3 + -57.7. Let l = s - y. Put -0.3, 0.3, l, 0.1 in decreasing order.\nAnswer: l, 0.3, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-6*(sqrt(102) + 1*sqrt(102)))\/sqrt(6))**2.\nAnswer: -4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f**2 - 37*f + 1. Let j be i(12). List the prime factors of j\/22*(-2 - 836).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*x + 24*x - 15320 = 0. Let h = -351 + x. Calculate the remainder when 126 is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j**3 - 475*j**2 + 1048*j - 140 = 0. What is j?\nAnswer: -70, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/381800 and -3\/4600.\nAnswer: 381800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1024*c + 1023*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 4*l = -1 - 13, -h - 8 = -5*l. What is the second derivative of -5*u**h - u**5 + u**2 + 354*u - 283*u wrt u?\nAnswer: -20*u**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -3*x + 73. Let g be (8 - 8)\/(2\/2). Let d be m(g). Suppose d = -4*r + 513. Is 26 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13.6 + 14. Let b = i + 4.6. Which is smaller: 3\/4 or b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-4) - (-176)\/224.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*v - 5*u + 31 + 1, -44*v - 819 = -91*v + 45*v - 801*u for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 12*i**2 + 275*i + 9765. Let s(b) = 7*b**2 + 137*b + 4879. Let k(x) = 6*r(x) - 10*s(x). What is c in k(c) = 0?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.2 + 10.8. Let z = -6 + t. Let g = z + 0. Sort 2, g, 0.4.\nAnswer: g, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {w: 6, g: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2525 + -772. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 4 + 3 + 12*y - 3*y. Let o(m) = -m**3 - 45*m**2 + 93*m - 39. Let g be o(-47). Does 18 divide t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 38*t**2 - 38*t - 143. What is c(-37)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.25 at least -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -54\/5 - 247\/10. What is the common denominator of k and ((-12)\/112)\/((-2)\/217)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12 + (-1056)\/(-84))*7. Solve b*l + 3 = -13, -3*p + 4*l + 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15.85 - -17.85. Put n, -2\/3, -0.5, -9 in ascending order.\nAnswer: -9, -2\/3, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, i: 11}. Give prob of picking 1 y and 2 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1440405 is divided by 1440405.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*q - s - 187, q - 48 = 1180*s - 1181*s for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 28343923 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q + 1. Let h(a) = -2*a**2 - 8*a - 9. Let n(v) = 2*h(v) + 18*m(v). Let w(p) = p**2 - p. Let d(i) = -n(i) - 3*w(i). Factor d(t).\nAnswer: t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 l when three letters picked without replacement from {u: 10, j: 3, m: 1, l: 1, p: 2}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45180, 181755, 409382, 728061, 1137792, 1638575?\nAnswer: 2230410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m + 10. Suppose -j + 6 = -3*j, -4*j - 68 = -4*s. Let i be u(s). What is the highest common divisor of i and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**1\/x)**(-13) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 + 23*y + 62. Give w(18).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**2 + t - 9. Let a = 39 - 35. Let k be (-102)\/(-8) - a\/(-16). Let w(c) = 11*c - 3*c**2 - 15*c + 3*c + k. Determine -7*d(x) - 5*w(x).\nAnswer: x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express g - 3*g + 0*g - 4*g + g + 5*g + (3 - 3 + g)*(-3 + 3 - 1) + 5*g + 10*g - g as b + j*g and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/440 and 7\/2428.\nAnswer: 267080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1309 divided by 118175?\nAnswer: -1309\/118175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*u + 32*u = -28 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 86*m - 846. Determine y(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.09063 micrograms in nanograms?\nAnswer: 5090.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197324393?\nAnswer: 7, 31, 909329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0025957 rounded to five dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 4. Let y be u(3). Suppose c + 11 = -c - 3*d, -4*c - 4*d = 20. Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 52*a*g**3 - 11*a*g**2 + 35*a + 6 wrt g.\nAnswer: 156*a*g**2 - 22*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of n**3\/3 - 7*n**2\/2 + 3*n - 3. Let t be r(7). Solve 2*z - t + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-10\/7)*r)**(29\/2)*(r**(-2\/11)\/r*r)**(6\/7))**(-17\/4) assuming r is positive.\nAnswer: r**(16677\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/121969 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 + -7. Suppose -m*d = -23 - 13. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 181, 0, -3, 4, -19 in descending order.\nAnswer: 181, 4, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o**2 + 2051*o - 83051. Determine y(39).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -955, -3822, -8601, -15292, -23895, -34410?\n\"Answer: -956*m**2 + m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-83*c**2 + 83*c**2 + 82*c**3)*(-4 - 2 + 5)*(-166*c + 21*c**2 + 166*c).\nAnswer: -1722*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 57.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/12158?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2190, 2176, 2158, 2136, 2110, 2080, 2046?\nAnswer: 2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43.2*2.\nAnswer: -86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(128) - (4 + 1 + sqrt(128)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 21, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -14. Suppose 4*b + 1841 = d*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 244, 1289, 4134, 9679, 18824?\n\"Answer: 150*a**3 - 5*a + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -22. Let s(v) = -20*v**3 + 25*v - 25. Let m(w) be the third derivative of -w**6\/24 + w**4\/4 - w**3 - 2075*w**2. Give n*s(y) + 25*m(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -1\/8  (b) 1  (c) 14\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 345 = -5*d. Let l be d\/21 + (-2)\/7. Let o be (12\/(-9))\/((-2)\/l). Calculate the greatest common divisor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -193 (base 12) in base 7?\nAnswer: -513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100001001 + 1010?\nAnswer: -11111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)\/sqrt(3))\/sqrt(4) + 4 + sqrt(13) + -2 + (-3 + 2*sqrt(468) - (4 + sqrt(468) + 1)).\nAnswer: -6 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1825 and 2.\nAnswer: -3650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of x**5\/20 + x**4\/12 - x**3\/2 + x**2\/2 - 2*x. Let d be t(-3). What are the prime factors of (-17)\/(-4) + 2\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 61*l**2 - l + 11. Is g(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -13. Sort -1, t, -0.4 in decreasing order.\nAnswer: -0.4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 241790 rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c - cf?\nAnswer: -db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 50 - 2. Suppose -b = -5*f + 27. Solve 0*t + t = -r + 2, -3*r = -f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 63.5133?\nAnswer: 6.35133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35389.61 tonnes to kilograms.\nAnswer: 35389610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(44)*4 + sqrt(44)))**2 + 0.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1440 by -4.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001010100111 (base 2) in base 8?\nAnswer: 11247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126657784.\nAnswer: 2, 11, 1439293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8 + 1)*1\/(-3). Let w be (-3)\/((v\/(-4))\/3). What is the units digit of (-2)\/w + 310\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 616 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -824*v. Let f(p) = 2*p + 7. Calculate f(c(x)).\nAnswer: -1648*x + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j - 6. Let l(y) = -4*y + 5. Let h(g) = -6*l(g) - 5*p(g). Let s(n) be the first derivative of 213 - 41 + n**2 - 80. What is h(s(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, b: 6, i: 3, y: 1, q: 5}. What is prob of sequence bs?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2620 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of v**4\/24 - 7*v**2 - 3. Let g(n) = 48*n**2. What is y(g(o))?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-16)\/((-32)\/6198) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 363397 is divided by 234.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 2*a - 4*l - 80, 2*a - 85 = 5*l. Is a greater than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/288 and 7\/104816988.\nAnswer: 838535904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.87 + -2.124. Let o = 23.204 + a. Let u = -2.45 - o. What is u rounded to zero decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 1:25 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 930\nAnswer: 1\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xlm when three letters picked without replacement from fxlclam.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10.34 and -3946.\nAnswer: -3956.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 617 + -612. Solve -b + 0 = 5*o - 18, 10 = w*o + 5*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14140 - -14138. Which is the second smallest value?  (a) 2\/3  (b) 10  (c) k  (d) -0.6  (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -12.2 and 298611.\nAnswer: 298598.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -9*w - 2. Let k be 2*3\/(-2) + 3. Let z be (-4 - -2 - -2) + 6. Suppose k*u - u = -z. Let l(h) = -4*h - 1. What is u*t(n) - 13*l(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 4 = 3*g - 2, 5*g + 5*i - 20 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 + h. Let m(x) be the first derivative of -2*x**3\/3 + x**2 - x + 6. Give 4*i(q) - m(q).\nAnswer: -2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -2*b. Is 3 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45242953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(119)*-1)\/sqrt(7) - -1*sqrt(153)) + sqrt(170)\/(sqrt(250) - (sqrt(250) + sqrt(250) + 1*sqrt(250)) - sqrt(250)))**2 + 3)*1.\nAnswer: 14972\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 - 10626*i - 5312.\nAnswer: -2*(i + 2656)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -8*j - 23. Let p be m(-4). Suppose p*l = -8*l + 12*l. Factor l*z**3 + 1\/4*z**4 - 1\/4*z**2 + 0 + 0*z.\nAnswer: z**2*(z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 612 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -341, -698, -1055, -1412?\n\"Answer: -357*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4216 and 42964202.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42, -294, -976, -2304, -4494, -7762?\nAnswer: -12324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 + 44*x + 7. Give v(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i + 5*i + i)*(i**2 + 10*i**2 + i**2)*(i**2 - i + i) - 4*i**4 - i**5 + 4*i**4 + (-5*i**4 - 2*i**4 - 2*i**4)*(0 - 2*i + 0).\nAnswer: 29*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2895a - 2?\nAnswer: -28960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jww when three letters picked without replacement from {v: 2, w: 6, j: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1743*r**2 - 258057 + 0*r - 258049 + 0*r + 516106.\nAnswer: -1743*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t. Let m be a(1). Suppose m = -u, -u = w - 4*u - 6. Find the second derivative of 4*x**5 - 5*x + 2*x + w*x wrt x.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/(-5))\/(-11 - (-924)\/60). What is the fifth biggest value in -0.4, 192, d, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105100 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 322 divided by -7618.\nAnswer: -161\/3809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-38)\/b*b**(-13)*b**1\/b**(-23) assuming b is positive.\nAnswer: b**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-17508)\/(-30))\/((-22)\/(-275)).\nAnswer: 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000002734 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5200574 rounded to 3 decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42744 is divided by 42740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert cb29 (base 14) to base 11.\nAnswer: 24429","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Convert 1103.96 centuries to millennia.\nAnswer: 110.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 329324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26590 and 1410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-6))\/(2\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23261 + -10330. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -13, -22, -53, -118, -229, -398?\n\"Answer: -2*x**3 + x**2 + 2*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -224 + 483. Let t = -259 + b. Solve 19*g - 10*g + 18 = t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 352 = -59*j + 4 - 655 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20007\/8914 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**34\/(l*l*l*l*l**14*l*l*l*l*l)*(l**9)**2)**19 assuming l is positive.\nAnswer: l**551","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -682 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (5 + 24 + -15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p. Let o be v(2). Let z be ((-18)\/15)\/(o\/40). Is -7 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 64\/(-34) + 18\/(-153). What is the remainder when ((-84)\/(-8))\/(m\/(-4)) is divided by (2\/(-4))\/((-2)\/44)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 0*j - 12. Suppose -2*y + j*k + 4 = 3*k, 0 = -5*y - k + 10. Find the second derivative of -y*v**3 + 5*v**3 - 3*v**3 + v - v**4 wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 1012200?\nAnswer: -1012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 11*k**2 + 35*k + 170. Does 18 divide s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -69 - -73. Calculate the remainder when 11 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/754 and 2\/7515959?\nAnswer: 195414934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 106.95 to the nearest integer.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -473 and 31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1262 * -929.\nAnswer: -1172398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 + 2.3. Let j = 136 - 135. Let m(k) = k**3 - 4*k**2 - k + 4. Let t be m(4). Which is the nearest to t?  (a) j  (b) s  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/3))**(-49)*h\/h**4*h**(-2)*h*h*(((h\/(h\/((h**6*h)\/h*h)))\/h*h)\/(h*h*h**(-1)))\/((h*h**(1\/2))\/h**3) assuming h is positive.\nAnswer: h**(-169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -16740*y**2 + 6*y - 115. Let s(t) = 25111*t**2 - 9*t + 175. Let x(a) = -8*d(a) - 5*s(a). Find the second derivative of x(n) wrt n.\nAnswer: 16730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1548\/9*(-1)\/(-4). Let b = p + -43. Let v be (-3)\/6*15*-2. Solve b*u - u = 3*a + 5, 3*u - 3*a + v = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 720 and 1656?\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1838592333?\nAnswer: 3, 103, 1983379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rhdojom. Give prob of picking 1 r and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 - (-32)\/(-14) - 22\/(-77). Which is the biggest value?  (a) n  (b) -0.3  (c) -3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 124*k**4 - 355*k?\nAnswer: 1488*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 52\/(-16) + (-1)\/(-4). Let n = 0 - s. Solve 3*u = 2*q - 17, -3*u - 20 = -n*q - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 524 divide 201216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 89137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 138*d - 315 - 1065 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.05864 - 0.058643297. What is i rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 203797159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -1900.\nAnswer: 3\/1900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 4\/(-2) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 10:01 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 110*g**4 + 109*g**4 - 396*g**4 + 82*g**4 + 104*g**4 + 4*g**2 - 13*g in the form z*g**3 + f*g**2 + c + r*g**4 + u*g and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 + 3 - -1*24. Let q = -3 + x. Suppose 2*i - 2*k + q = 0, 2*i + i = -4*k - 58. What is i rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16*1\/(-4)*2. Let z = 1951 - 1959. Are j and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 278549339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -15*h**3 - 2*h - 2. Let i(a) be the first derivative of 15*a**4\/4 + a**2 + a + 2. Let u(y) = 3*i(y) + 2*v(y). Is u(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 5*c + 2*c. Suppose c = -4*s - 11 + 27, -102 = -2*f - 4*s. Is 43 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 2 - 2)*(-4 + 2 + 4) - 1 - 1 + 1 + 3 - 2 - 3)*(15 + 26*c - 15)*(2 + 1 - 4).\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -18 - 24 + 9 - 3*o + 12 - 25. Give a(-29).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-6*(-4*1*sqrt(44) + sqrt(44) - sqrt(44)))\/((sqrt(16)\/(sqrt(4)\/sqrt(2)))\/sqrt(2)).\nAnswer: 3 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {r: 4, p: 4, t: 6}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(119)*4 + sqrt(119))*2)\/(-5*sqrt(847)*3).\nAnswer: -2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (0 + 3 + sqrt(1331) - sqrt(1331))*-4 + -3 + 2)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 3*w - w - 3*w**2 - 690*w**3 + 703*w**3 - 5*w in the form t + k*w**3 + p*w**2 + q*w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*i - 80 = 33*i. Let y = -35 - i. Let u(r) = -y + 0 + 5 + 9*r. Let z(j) = -2*j. Give u(z(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2844 = 4*k + 4*d, 5*d - 85 = k - 796. Calculate the greatest common divisor of 948 and k.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -92 or -1\/2?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16800 and 370.\nAnswer: 621600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j - 62. Let s be l(-22). Solve 3*x = x - s, 4*p = -x + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 774 a factor of 1747435242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1016 and 248?\nAnswer: 31496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31523, 31476, 31431, 31388, 31347, 31308?\nAnswer: 31271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -63, 1\/4, -0.5, -4\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s**(7\/5)*s)*s*s**2*((s\/(s*s**(-2\/11)*s))\/s)\/(s*s*s*s**(-11)*s*s) assuming s is positive.\nAnswer: s**(318\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -110011 (base 2) to base 9\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of 2*c**3\/3 + 10*c + 3. Let k(r) be the first derivative of s(r). Let g(t) = 4*t. Determine k(g(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 700*r - 793*r - 215 - 735 - 4258 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00682651503 rounded to five dps?\nAnswer: -0.00683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/2321 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*778210.\nAnswer: 3112840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a + 22. Let t be i(-8). Suppose -4*u = -4*j, 4*u - 18 - t = -4*j. What is the remainder when 38 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -123\/1204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 4*m = -13600, -3*w + 13625 = 2*w - m. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16551898.\nAnswer: 2, 11, 752359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30314.\nAnswer: 2, 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1247 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-91 - 2) + 2025\/((-9000)\/(-120))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 12:13 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - (2 - 329\/(-1)). Suppose s + 8 = 5*n - s, 4*s - 14 = -5*n. What is the least common multiple of (-4)\/(-14) - j\/21 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + (-6)\/((-18)\/(-21)). Let r(u) = -2*u**3 - 3*u**2 + u + 9. Is 17 a factor of r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of 0*t**2 + 4 - 1\/3*t**3 + 18*t. What is the units digit of b(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8566 = 6*g - 6*g - 3*s + 2*s - 8561, 22 = g - 2*s for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from snnnnnvvsnnsnnsvnnv. What is prob of picking 1 n and 1 s?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3*x + x + 2 = 0, 1 = x. Solve 0 = 2*u - h - 0*h + 5, g = -4*u - 5*h - 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-5)\/4*22\/(-55)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3\/16 + 17\/48. Let f(k) be the second derivative of -3*k - s*k**3 - 1\/12*k**4 + 0 + 0*k**2. Determine y so that f(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -549 + 552. Suppose 4*g + i = 4*l - 73, -5*g + 31 = 4*l. Calculate the highest common divisor of l and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 + -25. Let c be b + 1 + 68 + 4. Suppose -4*j + c = -111. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23.8 - 21. Let d = u - 0.8. Let x = -4\/171 + 22\/171. Which is the nearest to -0.1?  (a) -3\/7  (b) x  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-31)\/(-54) + 0\/1. Let p = c + -2\/27. Factor 0*z + 0 - p*z**2.\nAnswer: -z**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75320 times -0.709?\nAnswer: -53401.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -53 + 51. Let g be (-5)\/(-3) + z - (-28)\/12. Suppose -4*v = g*l - 12, -5*v = -v - 4*l - 12. Put v, -1.6, -0.4 in ascending order.\nAnswer: -1.6, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1705 greater than or equal to 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12679 and 180234.\nAnswer: 73715706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2 + 17575738*p.\nAnswer: p*(p + 17575738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of -99*b**4\/2 - 217*b**3\/3 + 28. What is the third derivative of w(d) wrt d?\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - 17*z + 5. Let a be c(-17). Find the third derivative of x**3 - 59*x**a + 83*x**2 - 64*x**5 + 120*x**5 wrt x.\nAnswer: -180*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*o + 83 = 11. Let f(r) = -5*r**4 - 6*r**3 - 2*r**2 + 4. Let i(l) = 7*l**4 + 8*l**3 + 2*l**2 - 5. Let x(v) = o*i(v) + 4*f(v). What is t in x(t) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v - 4*v + 5 + 5*v)*((-2*v - 8*v - v)*(5 + 1 - 1) + (4 - 4 - 2*v)*(-2 + 5 + 0)).\nAnswer: 61*v**2 - 305*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -306668 * 0.1.\nAnswer: -30666.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of d**5\/160 + d**4\/64 + 18*d**2. Factor p(j).\nAnswer: 3*j*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 2*g - 7 = -2*g, 12 = 4*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -9*b + 4*b. Suppose 23 = w + a, -b*w + 2 + 85 = 5*a. Let o = 5 + w. What is the remainder when 130 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 1, -1, -2\/7, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1303*h + 577 + 3332. Suppose 3*n - 8 - 7 = 0. Solve h*f + f + 2*m + 6 = 0, -m + n = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 4*j**2 + 4*j - 6. Let s be i(4). Suppose s*c - 4*c - 12 = 0. What is the second biggest value in -1, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -9*x**2 - 49. Let p(r) = -389*r. What is p(m(d))?\nAnswer: 3501*d**2 + 19061","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f + 29*f - 2800 = 12*f. Solve 2*x = 114*y - f*y - 2, -4*y = 2*x - 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 20 = 2*p. Suppose -4*i + p*s + 13 = -27, 4*i = 3*s + 40. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 199831122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 7*v**2 - 6*v + 6. Let s(b) = 20*b**2 - 17*b + 17. Let d(g) = 17*c(g) - 6*s(g). Let i(q) = 30*q**2. Give d(i(n)).\nAnswer: -900*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 386368550.\nAnswer: 2, 5, 7727371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2270132677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -35520, -35514, -35506, -35496, -35484, -35470?\n\"Answer: o**2 + 3*o - 35524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/4*(2 + -2). Let v(b) = 9 + 2*b + 0*b + 6 - b. Let x be v(-11). Solve c = x*q - 2*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 4707086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and -9.7.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -74?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -7. Suppose -f - 8 = -r*f. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 2*c = 37, -5*d + 11*c - 8*c = 43 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 102001?\nAnswer: 102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.116 in -0.4, 1, -0.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -42. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 2 x, and 1 t when four letters picked without replacement from yyyxtxfxyxxytxrxxyxy?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -12 + -12cd2?\nAnswer: -12ce4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9\/12)\/(6\/4). Let z = 30 - 26. Which is the closest to p?  (a) -2  (b) 1\/6  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = 2*v + 2*w - 18, 12 = 3*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 144*w**4 - 6*w**5 + 3*w - 3*w**5 - 144*w**4 wrt w?\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6904 divided by -4\nAnswer: -1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.12, 4, 0.13, -0.3, 796?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3 + 2 = -3*i, 5*k - 11 = 3*i. Sort 3, k, -1 in descending order.\nAnswer: 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 1291550*b - 3874664. Determine i(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2200 (base 8) to base 7.\nAnswer: -3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*w - 7 + 7 + 8*w - 8*w - 82*w - 2*w + 2*w + w + (-1 + 1 + 2*w)*(3 - 3 - 1) as v*w + h and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 w when three letters picked without replacement from {q: 5, g: 3, w: 1, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.6?  (a) 5  (b) -5270  (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 107*u**3 + 2*u**2 - u - 1. Let z be t(2). Suppose 2683 + z = 8*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13314402 (base 6) to base 2.\nAnswer: 1101100110001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 100755512 divided by 315848?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.9 in -2\/17, -3, 4\/5, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*t**4 - 25*t**3 - 22*t**2 - 3*t.\nAnswer: -t*(t + 1)*(t + 3)*(6*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -25*f**3 - 59*f**2 - 618*f - 1017. Determine c(-2).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 35 = 5*t, 5*t + 10 = -8*r + 6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/((-4914)\/900)*42\/6.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 12124303?\nAnswer: 12124311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.4675312 and 5.\nAnswer: -32.337656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -49*b*c**3*j - 2*b*c**2*d*j - 3*b*c**2*j + b*c*d - 2*b*j - 3*c**3*d - 257*c**3*j - 898*c**2*j + 20*d*j wrt c?\nAnswer: -294*b*j - 18*d - 1542*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17511493 to the power of 1\/2, to the nearest integer?\nAnswer: 4185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 20 - ((0 - (21 - -3)) + 2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11985699157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + p = 5*n - 10, -2*n = 3*p - 2. Suppose -1 = n*d - 9. What is the third derivative of 3*b**3 - 4*b**2 - 4*b**3 + 11*b**d wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 6 - 2 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3851703.\nAnswer: 3, 427967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37623 + 37623 - 15*w**3.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z - 3*z + 5*z + (-1 + 0 + 3)*(z + 4 - 4) - 3*z + z + z + z + 4*z - 3*z + 3*z + 0*z - 2*z + 0 + 0 - z)*(-5 - z + 5).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 5*n + 45 = 0, 27*w - 30*w + 37 = 5*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**4 + 722*k**3 - 716*k**2 - 1440*k.\nAnswer: -2*k*(k - 360)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of n**3\/6 - n**2 + 16*n. Let u be r(18). Let h be (8\/u)\/(3\/84*2). Solve d = -2 + h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*v - 47*v**2 + 42*v**2 - v + v**2 - 52*v + 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/29714304 and 119\/171264?\nAnswer: 59428608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, 63, 1\/27, -1\/9 in decreasing order.\nAnswer: 63, 19, 1\/27, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 77429, 154868, 232307?\n\"Answer: 77439*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -27, -69, -147, -273?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/253 and -27\/1196?\nAnswer: 13156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/5546535 and -59\/5.\nAnswer: 5546535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(17) - (-2 + sqrt(2448))))**2.\nAnswer: -66*sqrt(17) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22241792 divided by -3.\nAnswer: 22241792\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 155997454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from glqmg. What is prob of picking 1 g and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 333 - -2?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-3)*r*r\/(r*r**(-6)\/r))**35)**(2\/23) assuming r is positive.\nAnswer: r**(350\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 10:27 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*u + 4495 - 4488 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6347, -17888, -37117, -64028, -98615, -140872, -190793?\n\"Answer: c**3 - 3850*c**2 + 2*c - 2500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -38.9 - -246.9. Let h = m - 303. Let i = -93 - h. Which is smaller: i or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of 0*n + 7\/360*n**6 - 1\/36*n**5 + 1\/72*n**4 + 0*n**3 - 1\/210*n**7 + 0 - 8*n**2. Factor m(g).\nAnswer: -g*(g - 1)**2*(3*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - r**2 - 1. Let v(j) = -90*j**3 - 4*j**2 - 4. What is -4*n(l) + v(l)?\nAnswer: -94*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1556676*j**6 - 337299*j**2 + 7?\nAnswer: 186801120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 4374*o**2 - 4*o - 2. Let v(m) = -4412*m**2 + 5*m + 3. Give -5*s(j) - 4*v(j).\nAnswer: -4222*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + 7*i**2 + 7. Let l be h(-7). Let a = l + -3. Calculate the least common multiple of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 3*d**2 + 10*d - 2. Let g be j(-4). Suppose y + 62 = 4*n + 4*y, -4*y - g = -n. Suppose 32 = n*v - 10*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4352543986.\nAnswer: 2, 7, 310895999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 103782102 to the power of 1\/2, to the nearest integer?\nAnswer: 10187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**4\/17 - 44*q**3\/17 - 330*q**2\/17 - 936*q\/17 - 648\/17 = 0. Calculate q.\nAnswer: -9, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 99*b**2 + 213*b**2 - 152*b**2 + 4.\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23803419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 20 + -62 + 55 + -136\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of -p**7\/42 - p**6\/30 + p**5\/20 + p**4\/12 - 2*p - 19. Solve v(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2153001*g**3 - 2*g**2 + 7*g - 6. Let w be s(1). What is w rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13633001*u**4 + 2*u - 516042 wrt u?\nAnswer: 163596012*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/(-2) - (23 + -36). Suppose -w = m + 3*r, -4*m + 15 = -4*r - 13. Factor -m + 11\/2*o + 7\/2*o**2.\nAnswer: (o + 2)*(7*o - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/96 and ((-4726)\/(-11220))\/(4\/(-10)).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 467023 (base 8) to base 7.\nAnswer: 1232201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101000 - 11?\nAnswer: 11100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = t - 16. Suppose c = t + 7. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 43, -133, -475, -1001, -1729?\n\"Answer: -3*h**3 - 65*h**2 + 40*h + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 148491636 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qurqqqulqbbbq. What is prob of sequence qruu?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-35)*(126\/(-27))\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6 - -1)*-1 + (-55)\/176*16. Let v be (-80)\/6*(-24)\/10. Find the second derivative of 5*i - v*i**4 + 19*i + n*i wrt i.\nAnswer: -384*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 13 = -h - 259, -h + 328 = -4*n. Suppose 0 = 2*d - g + 7, -4*d - 47*g = -51*g + 8. What is the units digit of n\/(-6) + d\/((-45)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40 and 20\/(-25) + (-86)\/55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-4 - 3 - 9) + 7 + 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6333 = 4*m + 3*y + 52, -2*m = -5*y - 3147. Suppose 2*p - m = 263. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 + 5*j**2 - 6*j. Let q be x(-6). Suppose 0*v + v - 2*k - 24 = q, k = -5*v + 142. Calculate the highest common divisor of v and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -71 + 88 + -92 - -32.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2. Let z(a) = -13*a - 4. Let v(g) = -25*g - 7. Let k(j) = -4*v(j) + 7*z(j). Calculate k(f(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q + 1. Let b be u(6). Suppose b - 4 = y. Suppose -n = 0, y*l + 2*l = n + 35. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/24 and 59\/136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -10022 (base 4) to base 3\nAnswer: -100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qthqfqfqthqtvvqqhfq. What is prob of sequence hfqh?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 213, 433, 653?\n\"Answer: 220*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 30. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) -35  (c) 3\/5  (d) 4  (e) 1  (f) -437  (g) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 231*s**3 - s + 51 wrt s.\nAnswer: 1386*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 193\/3 + -188\/3. Which is the smallest value?  (a) 2  (b) 5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 5:43 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**4 - 67473*y**3 + 301057470*y**2 - 414522257100*y + 186900541191000.\nAnswer: -3*(y - 1330)**3*(y + 26481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 5*b + 125, -b - 4*m + m - 25 = 0. Let q be ((-10)\/b)\/((-18)\/(-10)). Sort 4, q, 2 in decreasing order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 87*a - 5666. Give p(65).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-100)\/(-25))\/(((-21)\/6)\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7 - 1 - 1)*1. Suppose 0 = 5*i - 2*i - 5*k - 230, 402 = q*i + k. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -5 - 1. Let s(u) = 26*u**2 + 72*u - 12. Let g be s(-3). Calculate the highest common factor of c and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*m = -f + 8, -3*f = -2*m - 12. Suppose v + 0*n - 3*n - 222 = 0, -f*n = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of z**4\/2 + 5*z + 9. Let g(v) = -334*v**2. Give g(i(l)).\nAnswer: -12024*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*z - 13*z**2 + 26*z)*(-5 + 4 + 2)*(182*z - 17562 + 17562)*(2 - 2 - 1)*(0 + 3 - 2).\nAnswer: 2366*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/56*8\/6*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-370)\/(-25) - (1 + (-6)\/5). Let n be 3\/x*1 + 840\/50. Sort 6, -2, -5, n in ascending order.\nAnswer: -5, -2, 6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 4*o**3 + 1340*o**2 - 1352*o - 2688 = 0.\nAnswer: -336, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -2*r - 0*r + 50, 3*r - 12 = 0. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*y, 3*y + 15 = -3*n + 5*n. Let i = n + -1. Let s be -1 - (12 - 2)*i. Calculate the highest common factor of 99 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -5*b + 6*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11 or -0.051?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-24*r - 3127 + 3127)*(-3 + 0 + 1) in the form v + x*r and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/5035 and 123\/1670.\nAnswer: 1681690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 842 or 715?\nAnswer: 842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 96253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 40080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24655 + 24249. Put 5, w, -0.4 in descending order.\nAnswer: 5, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*t - 5*w, -3*w + 4 = 2*t - 4*w. Let a = 3 - 2. Suppose -c = n + a, t*n + 2*c + 6 = -2*n. Put n, 1, -4 in descending order.\nAnswer: 1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11\/20 + 3\/4. What is the smallest value in -4, j, -14\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 20, 0.12, -3023?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.9 - -0.1. Let w = -3 + i. What is the nearest to -1 in -0.1, 1\/3, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 227\/9 - 457\/18. What is the closest to -0.7 in -0.7, -2, -3, v?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, v: 5}. What is prob of picking 2 q?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 166590, -3, 5, -9 in increasing order.\nAnswer: -9, -3, -2, 5, 166590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2002807, -2002811, -2002815, -2002819?\n\"Answer: -4*z - 2002803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 166981891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 355609800 divided by -72\nAnswer: -4939025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -167030*g. Let j(l) = 14*l + 1. Give b(j(k)).\nAnswer: -2338420*k - 167030","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -145615, -291227, -436841, -582457, -728075, -873695, -1019317?\n\"Answer: -q**2 - 145609*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1006 = 3*d + 4*k, 5*d - 5*k + 1638 = -2*k. Let g be (-987)\/d + 3 + -6. Is g at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.789883 millilitres to litres.\nAnswer: 0.009789883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4 - -4)\/3)\/2. Is 2 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/3354 and -11\/46956?\nAnswer: 46956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13571072 and 5452?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13\/255?  (a) 0.2  (b) -3\/8  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 3 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 91505592 and 15250932?\nAnswer: 91505592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 739215562?\nAnswer: 2, 1823, 202747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 414215894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*c = 38*c + 180. What is the remainder when 88 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -z**4 + 304944306*z**3 + 709417326*z**2?\nAnswer: -24*z + 1829665836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*i**2 - 5*i**2 + 3*i**2)*(-2*i + 0 - 8 + 9).\nAnswer: -4*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*b + 0*b - 152 = 16*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -98 - -154. What is the least common multiple of x and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -337609\/280 - -6024\/5. Find the common denominator of n and 53\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 236 and 33444858.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12815*y + 12805*y = 50. Let x be (2 + 0)*1\/2. Which is the closest to 2\/5?  (a) -2\/13  (b) y  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-293)\/1172 - 6\/(-56). Which is smaller: -3 or w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2565*w**3 + 3617*w**3 - 500*w**3 - 515*w**3.\nAnswer: 37*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 40*b**3 + 174 wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 2*f - 26, 5*o + f - 20 = 33. Let t be 8\/24 + o\/3. Solve -t*b - 3 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wcwssswwsdssccw. What is prob of sequence wss?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 0*y = 5. Suppose 0 = 3*g + g - 16, 3*g - 24 = 4*p. Sort 3, p, y in descending order.\nAnswer: 3, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2039655*h*k + 819020*h wrt k.\nAnswer: 2039655*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35736039?\nAnswer: 3, 137, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.05, -0.1, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 379*t**2 - 2172*t - 4379. Give j(-2).\nAnswer: 1481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 1337*h + 8517. Give k(-7).\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 895 - 905 = 3*m, 4*t - 2*t + 12*m = -20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 7*w**2 + 9*w + 7. Determine p(-7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -44*l + 22*l + 110 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/294 and 85\/154.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 38 = -3*d + 16, -5*g = d - 18. Suppose -g*c - 20*c + 9456 = 0. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 383 = 4*y, y - 294 = 4*y - 3*k. Let j = y + 99. Suppose 0*u + 6 = -3*s + 5*u, -s + 5*u = 12. Does s = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*z + 35 - 20 - 15)*(-z**3 - 5*z**3 + 3*z**3).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in -15, 2, -103?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1607986924?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-10) + 19\/10. Let z = -1.64 + 2. Let l = z + -0.16. What is the second biggest value in l, 0, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, -1518, 118 in descending order.\nAnswer: 118, -3, -5, -1518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -0*b - 5*b. Suppose -5*n - 75*p = -71*p + 61, -3*p = 27. Let r = -17 - -19. Put n, r, 3, b in decreasing order.\nAnswer: 3, r, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (51\/(2448\/(-32)))\/(6\/189).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 790789648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 3. Let c = 113026 + -113031. Let p = -3 + 11. What is the closest to p in c, g, -1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 - w - 2. Calculate the remainder when 49 is divided by b(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -363*g - 644 = -2096. Suppose -f**3 + 1\/2*f**g + 0*f**2 + 0 + 0*f = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/(-6))\/(13\/(-78)). Solve 0 = 5*g - g - h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xlxl when four letters picked without replacement from ltllxlltlxll?\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 - -0.281074\nAnswer: -0.218926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*x - 3*k - 42, 5*x = -4*k - 43. Let l(q) = -52*q - 124. What is the tens digit of l(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/300 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 537 and 22017.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 863481776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of k**5\/120 - k**4 + 6*k**3 + 3*k - 10. Let u(v) be the second derivative of h(v). Calculate u(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92282 + t**3 + 92282.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 521*o = 463*o + 2204. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13 + 139509\/(-10080) + 4\/7 and -115\/18.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9)\/24 + 0 - (-2691)\/72. Solve 4*o + q = 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 7 = -3. Let c(t) = t**3 - 4*t**2 - 2. Let l be c(u). Let a = 1 - l. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 10. Let i be (-2)\/1 + 0 + w. Put -3, 5, -1, i in descending order.\nAnswer: 5, i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6000 and 8400.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/6)\/(35\/5)*(-8)\/(-4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + -20. Which is the second biggest value?  (a) 4  (b) 1\/5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 98 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 15*u**2 + u + 6. Let q(m) = 3*m**2 + 1. Calculate 2*f(t) - 11*q(t).\nAnswer: -3*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.018 + -0.03.\nAnswer: 0.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - 2 + 2)*(1 + 3 - 5)*(432 + 244 - 18).\nAnswer: -1316*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-38) + 162\/266. Factor -r*s - 4\/7*s**2 - 2\/7 - 1\/7*s**3.\nAnswer: -(s + 1)**2*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2169593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*f + 83 + 189. Let b = f + 30. What is the third biggest value in 0.3, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 27 = d + 2*d, -5 = 3*j + 5*d. Solve -k = 2*k - 12, j*w + 2*k - 18 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/42072 and -65\/7012.\nAnswer: 42072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -z**7\/70 + z**5\/40 + z**4\/24 - z**3\/3 + z**2. Let h(p) be the first derivative of a(p). Is h(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 16*a**2. Let l be ((-8)\/14)\/(48\/28 + -2). Let h(g) = 0*g**2 - 4*g**2 + 2*g**l. Calculate h(b(i)).\nAnswer: -512*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-7))**(-4\/9)\/(g**0)**45 assuming g is positive.\nAnswer: g**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 18, 37, 56, 75, 94?\n\"Answer: 19*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32 - 31. Let z(a) = -28*a - 24*a + 33*a - y. Is z(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 - 14.99733. Round o to four dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/210 and -7\/390.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 193424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1271415307 and -40796.\nAnswer: -1271456103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -0 - 5, -2*s - 4*z + 2 = 0. Let n = s - -1. Suppose q - 3 = 3*o - 2*q, n = -5*o + 3*q - 5. Is o less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -6*k**2 + 77*k + 44. Let q(v) = 4*v**2 - 77*v - 45. Let h(x) = -4*q(x) - 3*r(x). Does 29 divide h(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 6:42 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 599467 (base 12) to base 3\nAnswer: 2201111220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2180588 is divided by 1760?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of -z**5\/5 - z**4\/6 + 17*z**3\/6 + 17*z**2\/2 + z - 85. Let u be n(-1). What is the highest common factor of 58 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 680 is divided by 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(297)\/sqrt(3)*-1.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of t**4\/24 - t**3\/3 + t**2. Let f be -1 + (3 - (3 - 0)). Let m be (f + 2)*(0 - 4). Determine v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 v when three letters picked without replacement from {v: 5, k: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 151*a + 3333. Determine n(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*l*y**2 + 7*l + 3149*y**2 - 2742*y wrt y?\nAnswer: -24*l + 6298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/((-288)\/(-70))*(-6)\/(-15). Let c(v) be the first derivative of 4\/9*v**3 + p*v**2 + 1\/8*v**4 + 1\/3*v + 5. Suppose c(q) = 0. Calculate q.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.3  (b) 25  (c) 0  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25059 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 4*i**3 - 2*i**2 - 3*i + 7. Is v(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/20*(3 + -13). Let k(j) = -4*j**3 - 5*j**2 - j - 25. Is 6 a factor of k(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (-5 - -1)) + (-23 - -18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 0 - 1 - (736\/384)\/((-9)\/108).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 30311407 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 19*o**2. Let g(b) be the second derivative of b**3\/6 - 15*b. Determine g(x(f)).\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by 14619833?\nAnswer: -12\/14619833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 54*c = 59*c + 214671, 4*b - 429330 = -2*c. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(105)\/sqrt(5))\/sqrt(3)*-1 + (sqrt(168)\/sqrt(4))\/sqrt(6) + (sqrt(7) + 2*sqrt(21)\/sqrt(3) - sqrt(7)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 4*f + 4. Let d = 262 - 292. Let m be (12\/d)\/((-2)\/50) - 5. What is n(m)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 61, 140, 261, 430?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 10. Suppose 0 = 2*u - m + 2. Suppose 0 = g - 5*n + n - 26, 4*g = 2*n + 48. Calculate the remainder when g is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -155 + 168 - (7 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 4*p - 8 = 0, 3*i - 5*p + 4 = -6. Suppose 3*h + 50 - 329 = -3*s, s + 3 = i. Which is greater: h or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -882573 + 882405 = -14*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 92389.5 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -3)\/(55\/(-440))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 4 = -4*i, -2*i + 4*u - u = 0. Solve 4*q - 8 = -4*m, m - 12 - 2 = i*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**4 + 0*k**4 + 9*k**2 - 761*k**3 + 4 - 3*k + 760*k**3 in the form r*k**4 + s*k + x*k**2 + y + z*k**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -55*a + 70. Let d(p) = 30*p + 5 - 58*p - 6 + 29*p. Let o(u) = -15*d(u) + w(u). Let z(i) = -5*i + 6. Determine -6*o(b) + 85*z(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-5 + (sqrt(891)*-5 + 1)*2)**2.\nAnswer: 540*sqrt(11) + 89110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13c95a (base 14) to base 4.\nAnswer: 2213323210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 16*p + 95. Let x be j(-3). Let z(m) = -x*m - 38*m + 85*m + m**2. Let w(n) = 34*n**2. Calculate w(z(y)).\nAnswer: 34*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*i - i - i)*(-i**2 - 1 + 1)*(2 + 3 - 3).\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -36?  (a) -5\/42  (b) -0.156  (c) 0.036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 4 = -3*n, -4*s + 8 = -0*s. Factor -2\/11*h**5 - 2\/11*h**3 + 0*h**n + 0*h + 0 + 4\/11*h**4.\nAnswer: -2*h**3*(h - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1696 and 117554?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 796 + 1177. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 13211*n**2 + 3*n + 4. Let c be f(3). Let q(s) = 4434*s**2 + 6. Let g be q(3). Suppose 0 = j - c + g. Round j to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/5181048 and 89\/56991528.\nAnswer: 56991528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -20, -3, 6 in increasing order.\nAnswer: -20, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 535701.016 to the nearest ten thousand.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zddddzzd. Give prob of picking 1 d and 3 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-105)\/(-18)*42\/196*-1*8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/2)\/1 + (-4 - -30). Is c smaller than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1051684 is divided by 5008.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-70)\/96 + (940\/(-60) - -15) and -13\/43.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3, 2, 1, 0, -1?\n\"Answer: -d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of -3*u**4\/4 + 7*u**3\/6 - 2*u**2 - 2*u. Let q be f(-6). Round q to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1784387632 divided by 61530608?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 - -23. Let u = v - -27. Let i = -27 + u. Which is the third biggest value?  (a) -3\/5  (b) 0.3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 11:09 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1))**(-3\/35)*(c**(-1))**(-2\/13)*c**(2\/31)*c**(-1)\/c*c*(c**(-2\/7)\/c)**(14\/5) assuming c is positive.\nAnswer: c**(-60594\/14105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*k + 147, -619*r + 618*r - 4*k + 161 = 0. Calculate the remainder when 6780 is divided by r.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7744923 to 4 decimal places.\nAnswer: 0.7745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.1174*0.00065\nAnswer: 0.00007631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 0*p - 4*b = 8, -2 = -p - 2*b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100110 + -10?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -320\/17 - -7235\/136. Let x = -23 + r. Calculate the common denominator of -111\/10 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 2*q = -0*q + 17, 3*f - q = 19. Let y(p) = -p**2 + 15*p - 2. Let m be y(13). Let t be 1\/3 - m\/(-9). Solve f*a = 2*a - t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 17 - 7 = 0. Suppose -5*d - 36 = -2*b, -z*d + 4*d - 2*b - 18 = 0. Let p be d\/33 - (-4)\/22. Solve 0 = w - 4*f - 18, p*f + 4 = -f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -56193*r**6 + 33084*r**2.\nAnswer: -6743160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 4*j + 23 = 0, -3*x + 6*x - 4*j = 17. Let f(h) = h**2 - 2*h + 1. Calculate the lowest common multiple of f(x) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -10 + 34. Let w(k) = 0*k**2 - a*k**2 - 7*k**2. Let v(n) = 3*n**2. Determine v(w(g)).\nAnswer: 507*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/44 - (-8)\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**1*r)**28*((r**(1\/4)\/r)\/r)**(-1\/12)*r**8*r**(-2)*r\/(r\/r**7*r)*r*r\/(r*r*r**5) assuming r is positive.\nAnswer: r**(3031\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 12) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - q - 48. Suppose -3*y = y - q. Suppose 3*a - 11 = -2*x, 0*x + 2*x + 4*a = 14. Solve f + 5 = -y*f + p, -p - x = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 604881029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 - 4*f - 6. Let u(a) = a**2 - 2*a - 3. Determine -3*b(h) + 7*u(h).\nAnswer: h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6 - -104)*(13 + -1). Suppose 25*z - 27*z = f. What is z rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3*i**2 + 12 - 8 + (i - 4*i + i)*(-5*i + 0*i + 2*i).\nAnswer: 9*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 9*v + 11. Suppose -96 = -6*d + 3*d. What is the remainder when d is divided by k(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 19 = -7. Let t(h) = -h**2 - 8*h + 3. List the prime factors of t(r).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - 0 - (18 - 19)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 251.497cm?\nAnswer: 0.00251497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of -23*q**4\/24 - 19*q**3\/6 + 37*q**2. What are the prime factors of w(-12)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39314611 is divided by 4348?\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 119178*j**6 - 13250*j**2 - 4*j + 2 wrt j.\nAnswer: 14301360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3335 is divided by 441?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6*(66\/4 - 1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 325115*b**3 - 188520*b**3 - 136593*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (8 + -28) - (2 - 5)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -10*f + 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 28783*a + 28855*a)*(8*a - 1 + 0 + 5).\nAnswer: 576*a**2 + 296*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*t - 1. Suppose 2*l - 4 - t = -5*k, 3*k = 2*l + 3. Let x(i) = 1 + 5*i**2 - 7 + 5 + 2*i. What is x(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2448 and 2571624?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 6*p**2 + 53*p - 622. Give b(-22).\nAnswer: 1116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -136 + 138. Let y be (-2 + f)*6\/12. Solve -a - 2 = -4*k, 4*a + y = 4*k + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11866.3 less than -1?\nAnswer: -11867.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -262*r**3 + 4*r**2 - 19*r?\nAnswer: -1572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q*q**(-6)*q)**3\/(q**(7\/6))**(22\/9) assuming q is positive.\nAnswer: q**(-239\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1 and 0.0094?\nAnswer: 1.0094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.818181 - -0.1\nAnswer: -0.718181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (8 - (0 - -4)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 less than 4.4352?\nAnswer: 4.2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.71?  (a) -2\/13  (b) -4  (c) 0.02157  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833) + -2*-2*sqrt(833) - 5*(sqrt(833) + 0 + sqrt(833)) - (-2 + sqrt(833)*2 - (-1 + sqrt(833)*1)))**2.\nAnswer: -84*sqrt(17) + 29989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-4) + 4\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - a = 3109 - 3126, 2*t - 9 = -a. Suppose -d - 6 = -2*i - 2*d, -5*d + 2 = -4*i. Solve 1\/5*s**i - 1\/5*s**5 + 1\/5*s**3 + 0*s - 1\/5*s**t + 0 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50025?\nAnswer: 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3*a + 1. Let c(i) = 4*i - 1. Suppose 4*r = 33 - 1. Suppose -2*u - 24 = -r*u. Calculate u*c(l) + 5*p(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -124*m**3 - 1232*m**2 - 1036*m + 72 = 0. Calculate m.\nAnswer: -9, -1, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -842*z**4 - 1504*z**3 - z**2 - 679766*z - 47.\nAnswer: -10104*z**2 - 9024*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.011 less than -223721?\nAnswer: -223720.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-198)\/24)\/(431\/1724).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -8*a + 74. Let s be u(9). Let k(b) = 10*b - 2*b - 5*b - s*b. Let g(v) = 35*v**2 + 3*v. Determine g(k(o)).\nAnswer: 35*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 3*h + 8*h - 33, -3*h = -4*i + 105. Calculate the greatest common divisor of i and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 241 + 233 - m + 2*m - 5*m - 6*m - 480.\nAnswer: -10*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 + 36 - ((-4 - -2) + 17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -5*s + 74. Let g = 149\/4 - s. What is the closest to 0.1 in g, 5, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*n**3 + 26*n**3 + 10*n - 1 + 5.\nAnswer: 18*n**3 + 10*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 6*k**2 + 12*k + 5. Let a(d) = -d. Let j(l) = a(l) + z(l). Let h(o) be the first derivative of o**3 + 5*o**2\/2 + 2*o - 5480. What is -9*h(n) + 4*j(n)?\nAnswer: -3*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3405216 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2450)\/35*3\/(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-34 + 42 + 57)*(-2*h + 4*h - h) as p*h + t and give p.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -14071578 and -0.09.\nAnswer: -14071578.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 4*a = -28, -5*b + 4*b = -4*a - 22. Suppose 4*t - 4 = -o - o, -2*t = -o - b. Let d(s) = 23*s - 2141. Let q be d(93). Which is greater: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 948 and 9480?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2 + 7 + y**2 - y - 45*y**3 - 6. Is i(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 16, 8, -2, -14?\n\"Answer: -b**2 - 5*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 2\/7, 4\/9, 1\/73, 2, 1 in descending order.\nAnswer: 2, 1, 4\/9, 2\/7, 1\/73, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -1. Let o(v) = 33*v**2 + 3. Let q(p) = 4*f(p) + o(p). What is the remainder when q(-1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -620 - -629. Suppose v - 3*k = -2*k - n, 0 = -2*v - 4*k + 6. Let x(z) = z + 1. Give x(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 4*l**2 + 3*l. Let u be g(3). Let v(r) = -2*r - 2. Let k be v(u). Calculate the least common multiple of 3\/k*(-16)\/12 and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + 27*n**2 - 405*n + 8052. Calculate w(24).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 120 + b2?\nAnswer: 1d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 319048969.1 to the nearest ten thousand.\nAnswer: 319050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from ymmcsgnyc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*z + 7 - 7.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -437*p**2 + 28. Let x(k) = -3*k - 1. What is x(j(r))?\nAnswer: 1311*r**2 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7073 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - (-44)\/6)\/(30\/72)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -22 - 17255c?\nAnswer: -17257e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 636919908?\nAnswer: 2, 3, 269, 197311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 4*r + 229822 = 0, 0 = -8*p + 10*p - 3*r - 153214. Round p to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -42054.1915 to the nearest integer.\nAnswer: -42054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 32917462451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 6 = 16. Let x be (t - -1)\/((-3)\/(-10)). Calculate the greatest common divisor of 30 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -13*s**3 - 4*s**2 + 6*s - 25. Let h(k) be the first derivative of k**3\/3 - k**2 - 33. Let d(y) = c(y) + 3*h(y). Differentiate d(w) wrt w.\nAnswer: -39*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252662 (base 10) in base 7?\nAnswer: 2101424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 161\/7068 and 4\/99?\nAnswer: 233244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-5))\/((-12)\/16*-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 10:57 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 59135.76 months?\nAnswer: 4.92798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 954331967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/(-10))\/((-2)\/(-70)). Sort 1, -2, g in descending order.\nAnswer: 1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -26741 - -3?\nAnswer: -26737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 996344669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -6*w + 7. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38b0b8 (base 12) to base 7.\nAnswer: 10626560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 351135358 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-4 + -6 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 PM and 3:26 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - 2. Let d = 0 - 1. Let z be (h\/((-3)\/2))\/d. Let l(u) = 2*u**2 + u - 2. Determine l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from {j: 5, u: 2, x: 6}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n + 38 - 26 = 0. Let f(z) = -292*z. Let c be f(-1). Let o = c + -7883\/27. Are o and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/3))**(-27\/2))**(-31) assuming d is positive.\nAnswer: d**(279\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 33 = -r, 2*v - r - 17 = 5. Let n = 29 - 23. Suppose -3*k + k + n = 0. Solve p + 7 = -5*i - v, p - k*i = 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 2) + 53 + 0. Let g(h) = h + 8. Let t be g(-6). Suppose 0 = -0*v - 4*v + 2*j + b, -t*v = j - 18. Solve -4*w = -5*k - 8*w + v, 4*w - 18 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.11?  (a) -3  (b) -2\/25  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = -2*a - 21. Let m(d) = d**2 - 18*d + 3. Let r be m(5). Let v = -56 - r. What is the greatest common factor of v and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.04938 greater than or equal to 18202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssldsdsll. What is prob of picking 1 l and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 703253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6665 and 5375.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7961852 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17.9 - 20. Let i = f - -2.2. Suppose 5*l + v + 2*v = 9, -2*v = 4. Which is the nearest to 1?  (a) l  (b) i  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 61 + -239\/4. Let w = 114.8 + -130. Let r = w - -12.2. What is the closest to r in 1, 2, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 13) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21642 or -43281\/2?\nAnswer: -21642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -39 divided by -1532\nAnswer: 39\/1532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 59128349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93 + 112 - 8 + 22*w**3 - 11.\nAnswer: 22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/(-240))\/((-2)\/(-90)*3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/14*(-352)\/6. Let q = 1334\/105 - t. Which is the biggest value?  (a) q  (b) 0.4  (c) -5\/3  (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/80)\/(3\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 710?\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -185 = -18*j - 85 + 152 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-12))\/((-1)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 9:15 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h**2 + h + 2. Let d be q(0). Let x be d\/((-5)\/(15\/6)). Let p be (10\/(-25))\/x*5. Are 2 and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -267*y + 267*y + 290*y**2.\nAnswer: 290*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 4*m - 3*i = 0, -5*m - i = 0. Let g = m + 16. Suppose 0 - 12 = -5*o + 2*y, -7 = -4*o - y. Solve 5*h + o*t = -3, 7*t - 3*t + g = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 477947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-24)\/10)\/(-3)*155\/1. Suppose -2*s + 133 = 5*u + 6, -2*s = 4*u - x. Let w = 44 + s. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 - 118\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-0.2661324\nAnswer: -0.07983972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 25*d**2 - 2*d - 33. Give a(-25).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 10\/13 and -82\/50193.\nAnswer: 50193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 3*y + 2*k = -1897, y + 2*k - 627 = 0. Let v = y - 12601\/20. Calculate the common denominator of 59\/(-3)*12\/40 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fkkmkkfkkffkfkksfmkf. What is prob of picking 3 f?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14.8 and -1886.\nAnswer: 27912.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 84301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a day in minutes?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11471079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 0*h - 57 = 4*v, 0*v + 7*v = -21 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -221 - 120110?\nAnswer: -121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -891 - -890.9. What is the closest to -32 in d, 0.5, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 318 by 10.\nAnswer: 159\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = q + 3 + 12, q + 20 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 - i + 10. Let a be q(0). Let c(x) = -x**3 + 11*x**2 - 10*x - 4. Let m be c(a). What are the prime factors of 41 - (3 - (-28)\/m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - 9, -4*h + 21*t - 23*t + 126 = 0. What is the remainder when 226 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*x**2 - 20*x**2 + 0 + 1200*x**3 - 1204*x**3 + 1 + 3*x to j*x + m + z*x**3 + q*x**2 and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 378\/1701 + (-112)\/18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2395?\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 445, 770, 1093, 1420, 1757?\nAnswer: 2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 4, 2\/3, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, 0.24, 0.09, 0.3.\nAnswer: 0.09, 2\/17, 0.24, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -823676774*f**4 + 333056056*f**2 wrt f?\nAnswer: -19768242576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of -11*h**8\/120 - 7*h**4\/3 + 31*h**3\/3 + 167*h**2. Let z(x) be the first derivative of n(x). Differentiate z(m) wrt m.\nAnswer: -616*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) -56  (c) 15  (d) 19  (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -62?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.040192 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 - 293*f - 2. Let x(g) = 6*g - 15. Calculate x(j(t)).\nAnswer: -6*t**2 - 1758*t - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of n**4\/24 + 10*n**3\/3 + 4*n**2. What are the prime factors of l(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/5 and -16\/395.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 431 is divided by 210.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (6 + (10 - (-5 + 21))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-181 + 183)\/((-64)\/34 + 2). Solve t*d - 78 = -10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.5 - 0.5. Let z = 0.254 + -0.054. Let b = -0.8 + -0.2. What is the smallest value in u, b, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*y - 51. Let m(p) = p**2 + 10*p - 5. Let k be m(y). Let b(z) = z + 7. Let j be b(k). Solve h - 2*i = -h - j, 0 = 2*h + 5*i + 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4.32622 and -107848?\nAnswer: 107852.32622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 4*c + 2. Let f be n(0). Suppose 1 = 5*j + 4*r + f, 0 = j + 4*r + 13. Suppose -29 = -5*t - j*w, 15 = 6*w - w. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -638*n - 35*n + 13460 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 - 7*m**2 - 7*m - 1. Let n be a(-6). Suppose -2*v - 3*v + 100 = 0. Calculate the highest common factor of v and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 119 + 373 = 0. Let h = z + -1106\/9. What is the biggest value in 2, h, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.04 - 14.94. Let x = y + -2.1. Let j = x - -14. Which is the closest to 1?  (a) -3  (b) j  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/7  (b) 9  (c) 3\/5  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**4\/3 - 54*t**3 - 682*t**2\/3 + 54*t + 680\/3 = 0 for t.\nAnswer: -4, -1, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/104 in 5.06, 1\/2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8727713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.29 - 10920\nAnswer: -10920.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + (-1 - -1) - -2. Suppose d = -4*q - 0*q. Which is smaller: -2\/11 or q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 30599723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.028552568 - 4152?\nAnswer: -4152.028552568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 15*r + 14*r = -5, -4*r + 18 = 3*m. Solve -3*t = o - 1, -t - m*o = o + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14041.84 minutes in seconds?\nAnswer: 842510.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the first derivative of 0*i**2 + 16 + 0*i**3 - 3*i - 18\/5*i**5 + 0*i**4. What is the derivative of l(a) wrt a?\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 102000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 48375636 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 2:01 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - 4*s**2 + 2*s + 3. Calculate p(7).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.05 smaller than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 144 and 23512?\nAnswer: 423216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1416 - 5?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-39)\/(-18)*2 - (-16)\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*n + 3*n + 50. Suppose 17 - 3 = 4*l - 3*z, -2*l = -3*z - n. Solve -l*q - 3*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -5*l**3 + 3935*l**2 + 48165*l - 179775 = 0.\nAnswer: -15, 3, 799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((5 + 0)\/5 - -6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3179*m = 10614*m - 1192*m - 327626 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**2 + 23*w + 59. Let l be y(-8). Solve -l*c - 4*a = 3, 0*a = -4*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.042, -2, 7\/9, -0.3, 6.4?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 5*c - 2. Let i(s) = 2*s + 1. Let f be i(-2). Let a be k(f). Solve -3*g + 17 = -0*g - a*n, 5*n + 19 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2761274 is divided by 870?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9484 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 6, 26 in increasing order.\nAnswer: 4, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-42)*0 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 13) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 - 18*j - 73. Give p(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 1. Let x(l) = -2*l**2 + 2*l - 3. Suppose 4*u - 5*m = 3, 4*u = -4*m + 3 + 9. What is u*g(q) + x(q)?\nAnswer: -2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 125*a**5 + 17184850*a**4 - 20621940*a**3 + 8248792*a**2 - 1099840*a.\nAnswer: a*(a + 137480)*(5*a - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.4756 to two decimal places.\nAnswer: 2.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 9:38 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-2\/25))\/j*j**(2\/5)*j)\/(j\/(j\/j**1)*((j**(-10)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(337\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + l - 1. Let d(w) = -14*w**3 + 49*w - 49. Determine 5*d(x) - 245*q(x).\nAnswer: 175*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15642 and 71566?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 10*k**2 + 12*k + 7. Let t be h(-11). Let z be (2*t\/8)\/6. Let q = 1.7 - 0.7. Which is the nearest to q?  (a) z  (b) -2  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 3*r + 4 = 0, 4*r + 0 = -5*b - 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 1825883.6 and 0.05.\nAnswer: 1825883.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-526)\/(-6) + (-6)\/(-18). Let s = u - 64. Solve -1 = -5*f + s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003119356 to 5 decimal places.\nAnswer: -0.00312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -216*p**2*q - 15*p + 2*q wrt p?\nAnswer: -432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -69205, -69207, -69209, -69211, -69213?\nAnswer: -69215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 66185.728 rounded to the nearest 10?\nAnswer: 66190","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 185, 187, 189, 191, 193, 195?\n\"Answer: 2*r + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 5*l - 190, 3*l - i = -4*i + 96. Let y = l + 33. What is the highest common divisor of y and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28592*v**5 - 133*v**4 + 30450772*v**2?\nAnswer: -1715520*v**2 - 3192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -1 - 2*d + 3 - 2*d. Let g(z) = -z**3 + 7*z**2 - 11*z + 10. Let x be g(5). Let b(j) = -9*j + 5. What is x*a(q) - 2*b(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35748097 - -35748095.85000839. Let j = g + 1.15. What is j rounded to seven decimal places?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2\/35, 0.1, 1\/2?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 2 - 337. Let c = 70 + x. Suppose 4*w - 33 = c*w. What is the highest common divisor of 132 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 12:42 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4\/7*f**2 + 0 + 60\/7*f = 0 for f.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i**3 + 6*i**2 - 2*i + 7. Let l(y) = 2*y**3 - 7*y**2 + 2*y - 8. Let x(w) = w**2 + 4*w - 7. Let j be x(-4). Give j*s(d) - 6*l(d).\nAnswer: 2*d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1922670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(18) + sqrt(2))**2 + sqrt(2) - (sqrt(2) + (-1*sqrt(2) + sqrt(2))*-2)) + sqrt(24)\/sqrt(48) + (sqrt(98)*3 - sqrt(2)).\nAnswer: 36 + 73*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6304 (base 7) in base 10?\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = -3, -14 = -2*g - 3*g + l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -4*f - t + 11, 5*f - 4*t - 22 = 0. Find the second derivative of 3 - 221*s - 17*s**5 - 2*s**4 + 226*s + 2*s**4 - 3*s**f wrt s.\nAnswer: -340*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*q - 84*q = 5*d - 17, 4*q + q - d = -16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*z - 6*z + 82*z)*(27*z + 47*z - 48*z).\nAnswer: 2470*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -12*c - 189. Let o(v) = -12*v - 191. Let b(n) = -3*a(n) + 2*o(n). Let l be b(-15). Let z(p) = -p**2 - 5*p + 5. Let q be z(-6). Sort -4, l, q, 0.\nAnswer: -4, q, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12127 + -5727. Does 114 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b. Let t be h(0). Let k be 1*1709 + 2 + t. Let c = k + -15431\/9. Calculate the common denominator of 49\/10 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 2*q + 18, -3*t + 3*q = 6*q - 3. Let u(w) = -w + 4. Let l be u(t). Let d(g) = -g + 12. What are the prime factors of d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/9*(-42)\/196?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 15973.445 and -0.2.\nAnswer: 15973.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -52b?\nAnswer: -52d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m**2 - 6*m**2 + 4*m**2 - m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 75 and 90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 212, 209, 208, 209?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 865291\/60 - 72988\/5. Suppose 76*n + 5878 + 7498 = 0. Let k = g - n. Put -1\/3, k, -2 in increasing order.\nAnswer: -2, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*(-1)\/(-24)*-4. Which is the nearest to s?  (a) -0.4  (b) 1\/3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - -9. Let q(w) = 6*w + 5. Let f be q(0). Suppose f*m = h*n + 141, -n + 2 = m - 19. Solve -2 - 10 = -2*p - 4*d, -5*d + m = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -3*h + 16346409, 2*a = 2*h - 5137037 - 3036169. What is a rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 422977633.3 rounded to the nearest 10000?\nAnswer: 422980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 1:42 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 167910.12 minutes in days?\nAnswer: 116.60425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 689\/(-65) - 2\/5. Suppose 0*f = -2*s - f - 1, f + 4 = s. Which is the nearest to -0.1?  (a) 2\/7  (b) x  (c) -5  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 - 19. Let k = -21 + f. Let z = k + -20. Which is the second biggest value?  (a) 4  (b) z  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-620)\/(-456) - 338\/12844. Factor -q - 1\/3*a**2 - 8\/3*a + 5\/3*a**3 + 1\/3*a**4 - 1\/3*a**5.\nAnswer: -(a - 2)**2*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (516\/(-344))\/(-6*(-7)\/420).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h. Let i(t) = -12*t + 12*t - 145*t**2 - 41*t**2. What is i(f(w))?\nAnswer: -186*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -4)*(-39)\/(-390)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1119732\/5 or 223945?\nAnswer: 223945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (43*(-404)\/(-18))\/((-1860)\/(-9)). Let z = p + -1\/310. Let v = 4 + -4.3. Which is the third biggest value?  (a) v  (b) z  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2b00f (base 16) to base 13\nAnswer: 62236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 167*o + 3480*o**2 + 157*o + 95*o - 417*o as y*o + u + a*o**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2570 (base 12) to base 5.\nAnswer: -114020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (200\/(-10625))\/((-6)\/75)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7 + 3*z**2 - 7 + (35*z + 3629 - 3629)*(-4 + 4 - 2*z) + 2*z**2 + 3*z**2 - 3*z**2.\nAnswer: -65*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*n + 223 + 157 = 0. Suppose -2*w = -7*w - 20. Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - h - 10 = 0, 2*k + 14 = 4*h - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/10726432 and -29\/6432.\nAnswer: 32179296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 112 (base 4) to base 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 761857 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5297334 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.66 - 43.08.\nAnswer: -42.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16123?\nAnswer: 23, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -69 + 70. Solve 2*g = y + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 50\/56553 + 2037701\/1017954. Let r = -160\/27 - b. Find the common denominator of 19\/22 and r.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32 and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 495*f**4 - 2*f**2 + f - 1112 wrt f.\nAnswer: 11880*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 74574189 and 52731.\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93081.\nAnswer: 3, 19, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u**3 - 5*u**2. Let f(v) be the third derivative of 7\/30*v**5 - 1\/24*v**6 + 0*v**4 + 0 + 0*v + 0*v**3 + 93*v**2. Determine -3*f(y) - 8*n(y).\nAnswer: -y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/(-40)*(-96)\/9*2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10838 - 1830. Suppose 5*g + 5*a = 11265, 0*g - 4*g - 2*a = -f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1930 + -12?\nAnswer: -1942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6570 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -356 = -4*p + 2*x, 0 = 988*p - 987*p - 3*x - 74. Solve -p*k = -77*k + 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xnn when three letters picked without replacement from hlnllnzzaxnn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llollooootglglotgg. Give prob of picking 1 g and 1 o.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**3 - 3*h**2 - 3*h + 1. Let k be q(-3). Let w = 20 - k. Let x = 20 + w. Solve -x*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 324734632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9085 - 612.0709.\nAnswer: -9697.0709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b - 6. Let w be s(5). Let g(t) = -14*t + 2 - w + 1. What are the prime factors of g(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + -5. Let n(y) = -y + 1. Let c be n(r). Suppose c*o - 58 = -13. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -20, 0.3, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 401 is divided by 65?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21192 and 1476376.\nAnswer: 4429128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = -6*i + 2*i - 6, 0 = -5*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -0.1  (b) 1  (c) 110781\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5499487 + 708507 = -k - 5*x, 5*x + 23955020 = 5*k. What is k rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - 3*p**2 - 5*p. Let w be r(4). Let c = 39 + -37. What are the prime factors of (3\/c)\/(w\/(-56))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0086965 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zpz when three letters picked without replacement from pzdzd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(36)\/sqrt(3) + (1 + sqrt(12)\/sqrt(4) - sqrt(3) - (sqrt(90)\/sqrt(3))\/sqrt(10))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-498*z**2 + 476*z**2 + 2*z**3 + 0*z**3)*(0 - z + 0).\nAnswer: -2*z**4 + 22*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 420896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16 + 16. Suppose a = -3*n + 377 + 358. Find the second derivative of -7*j**4 - j - n + 245 wrt j.\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(605) - (-3 + sqrt(605)))**2 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**3 - b**2 - b + 1. Let k(r) = 13*r**3 - 14*r**2 + 13*r - 6. Let y(x) = k(x) - 6*n(x). Factor y(f).\nAnswer: (f - 4)*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 10. Let y = 11 - m. Let k = 12 - y. Solve -k*u - 20 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 9 - 12. Suppose u = t + 3. Suppose -3*x + 1279 = 1267. Calculate the smallest common multiple of x and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 11*x + 2. Let g(m) be the first derivative of 6*m**2 + 2*m + 804. What is -6*g(i) + 5*j(i)?\nAnswer: -17*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 3966 - 3510 = -76*l - 1271 for l.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 383952031*m**5 + 431184207*m.\nAnswer: 7679040620*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of 0*c + 0*c**3 + 13*c**2 + 1\/6*c**5 + 0*c**4 + 0. Let p(a) = -2*a**2. Determine p(f(s)).\nAnswer: -200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 3*r + 1331 = 0, 2*l - 1301 = 4*l + 3*r. Is (l\/(-6))\/((-19)\/(-57)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 16. Let m(q) = -5*q**3 - q + 2. Let o(z) = -6*z**3 - z + 2. Let b(g) = c*m(g) - 6*o(g). Suppose 2*a = a. Give b(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.57 + 0.13. Let n = 4.7 - a. Is -1 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-18))\/(1\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 - 3*a + 5. Let j be 0 - 0 - 1*-5. Let i be b(j). Let w be ((-5)\/i)\/((-1)\/2). Which is bigger: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -321492, -321473, -321454?\n\"Answer: 19*d - 321511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {i: 1, a: 6, s: 1, d: 9}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 - 56*n + 677. What is k(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/159, 3, -2, -0.2?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 2, -8, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1491330 - -187668.\nAnswer: -1303662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -0 + 2. Let k be ((-1)\/j)\/((-4)\/(-40)). Suppose 4*y = k*f + 130, 2*y + 5*f - 7 = 43. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the first derivative of -5*m**3\/3 + 5*m**2\/2 + 147*m + 154. What is the derivative of z(q) wrt q?\nAnswer: -10*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2025738 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 40\/83 + 2874\/581. Let p be 9\/(-36) + 9\/4. Suppose 12 + 0 = p*w. Is k at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x - 2108 = -11*x. What is the greatest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26959633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/g**(-2\/3))\/g)**(8\/13)*(g*g**0)**2)**(-7\/2))**(-3) assuming g is positive.\nAnswer: g**(329\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1128\/(-130284))\/((-1)\/44))\/((-4)\/(-49)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 16 = -11*q + 9*q, -q - 3*r = 13. Let g(y) = 13*y**3 - 8*y**2 + 9*y + 29. Let d(f) = -3*f**3 + 2*f**2 - 2*f - 7. Determine q*g(t) + 9*d(t).\nAnswer: -t**3 + 2*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 81*d - 475 wrt d?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11459 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 16 - 0. Let p(v) = -v**3 + 4*v**2 + 7*v - 6. Let j be p(5). What is the highest common divisor of j and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -71\/33 in -2, 0.02, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a factor of 86933778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3582 = -33*x + 24*x. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*a*l**2*q**3*y - 1863*a*l**2*q**2*y**2 + 2*a*l + a*q**2*y - 147*q**3 - 16*q*y**2 wrt l.\nAnswer: 62*a*q**3*y - 3726*a*q**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1671.1*-0.4.\nAnswer: -668.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 3*h. Let w be s(4). Suppose -3*z + w = z. Put 5, -5, z in ascending order.\nAnswer: -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/42201 and -35\/5161026?\nAnswer: 139347702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 149757477 to the power of 1\/2, to the nearest integer?\nAnswer: 12238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-157)\/((-17584)\/(-64)))\/(-14).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.6 in -3\/8, 2\/113, -2\/13, 2\/59, -0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, l: 2, d: 5, p: 2, q: 1, a: 5}. What is prob of sequence dsl?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of q**4\/12 + q**3\/2 - 3*q**2\/2 + 2*q. Let z be h(-3). Is 2\/z - (-100)\/15 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 15, -0.12, -1\/4, -447, 4?\nAnswer: -447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (-3 + sqrt(1872) + -4 - (-3 + sqrt(1872) + -2)))*5)**2*-6.\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((((sqrt(190)*2 - sqrt(190))*5 - sqrt(190)) + sqrt(190))*6)\/(sqrt(70)\/(sqrt(28)*3)).\nAnswer: 1 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 153  (b) -0.1  (c) 4  (d) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -4*r + 300. Suppose -5*d = -4*d - r. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**2 + p**2 + 5*p**2 - 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 PM and 3:41 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1110210 - 102?\nAnswer: 1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(0\/14)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 110 (base 2) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -507.613 and -0.01.\nAnswer: 5.07613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4180 = 211*v - 21*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -186.4 smaller than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88890 is divided by 3173.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of -481*z**4\/2 + z**3\/3 - z**2 - 6. Let w be h(2). Is (-1)\/(3 - w\/(-2564)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 293 divide 3786732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvv. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of -x**3\/3 - 3*x**2 - x + 6. Let u(q) = q**3 - 2*q**2 + q - 4. Let k be u(3). Let v be 4\/(2*(-4)\/k). Determine a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18249 or -18223?\nAnswer: -18223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 25118 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 197 is divided by 86.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15 and 705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7905875 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2573 + 13?\nAnswer: 2606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 565 - 275. Let m = c - 260. Let i = -0.1 - -0.1. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 159563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1104143 (base 5) in base 12?\nAnswer: -b202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 4*p**2 - 4*p - 6. Let t be r(-4). Let y = 11 - t. List the prime factors of 68*(y - (-6)\/(-8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 36 + -6 + (-9)\/(-3). Let g = 14 + d. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1397, 2395, 2543, 1391, -1511, -6613, -14365, -25217?\nAnswer: -39619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 4*v - 6. Let i(p) be the third derivative of -3*p**4\/8 + 2*p**3 - 12*p**2. Let m(u) = 3*i(u) + 7*y(u). Determine m(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*j**3 + 12582*j**2 + 12621*j - 151020 = 0. What is j?\nAnswer: -4, 3, 4195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10200 - 211?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1250356.\nAnswer: 2, 312589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (26*76\/8398)\/((-4)\/(-6))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrgyarraaygr. Give prob of sequence ray.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24 - -5) + (57 - 24).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*k = -2*c - 10, 5*k + 4*c + 20 = 0. Suppose 3*a - 2323 - 1922 = k. Suppose -587 = -11*h + a. Calculate the greatest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 6 - (27 + -23)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 5*p + 28 = -3*p, 5*m + 4*p = 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 90791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 476 a factor of 11798322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 PM and 4:29 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of a**3\/3 + 5*a**2\/2 + 9*a + 2. Calculate the remainder when y(-7) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(44)\/((-2*sqrt(4) - sqrt(4)) + sqrt(4))) + 5.\nAnswer: -2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13556 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4769, -38621, -130507, -309443, -604445, -1044529?\n\"Answer: -4836*q**3 - q**2 + 3*q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (33\/(-6) - -4) + 1\/(-2). Let h be (-1)\/11*(-2 - -4). Which is the nearest to 0.1?  (a) h  (b) o  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4*m - 6*m - 4*m**2 + 11 - 6*m + 3*m**2. Let a be z(-10). What is the tens digit of a\/2*128\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 4 = 0, 4*d - 52 = 2*d + 2*v. Suppose -4*r + 76 = -3*m, d = 2*r - 6*m + m. What is the lowest common multiple of 20 and r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20390 and 121126795.\nAnswer: 242253590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 517468 (base 10) in base 8?\nAnswer: 1762534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -65*r + 19. Let l(b) = -79*b + 1. Give 2*l(c) + q(c).\nAnswer: -223*c + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 0.4  (c) 3\/2  (d) -6218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/14632 and -10\/491939.\nAnswer: 232195208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -130, -299, -546, -877, -1298, -1815?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.503 + 71.717. Let g = v + -1.22. Let l = 74 - g. Is 3 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2124140 + 120?\nAnswer: -2124020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 15*t = 4*t - 32. Let u(j) be the first derivative of 0*j + t - 5\/2*j**2. Let w(d) = -2*d**2. Calculate u(w(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - 2 - (-19 + 14). Suppose -v*o - 2*q + 42 = 0, -2*q = -5*o + 8 + 46. Calculate the smallest common multiple of 2 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*i + 0*i - i)*(-5 + i + 5)*(-4 - 1 + 4)*(0*i**3 + 4*i**3 - 9*i**3 - 10*i**3 - 2*i**3 - i**3 + (-i**2 + 0 + 0)*(-2*i + i - i)).\nAnswer: 80*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1673 - -1672.8. Which is the closest to -1?  (a) -5  (b) f  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30875264 divided by -4054.\nAnswer: 7616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 28251 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -5  (b) 45  (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - w = -3*v, -4 = -w. Let f = -10 - -12. Let a be 3*(f + v) - 1. Solve 3*t + a = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 3 = 5*x, -5*j - 2*x + 4*x = 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 440 + 409 = f + 873, 1 = 5*u - 0*f + f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 - 22. Suppose 15 = -5*c, a*b + 249 = 8*b + 2*c. Let j = 54 - b. Solve j*p + p = d - 21, 0 = 5*d - 4*p - 25 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -42*j**3*k + 380*j**3 - j**2*k + 68*j**2 + 23*j*k + j + k wrt j?\nAnswer: -252*k + 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-36))\/(-1 - 26\/(-18))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2234, 4463, 6688, 8909, 11126?\nAnswer: 13339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 550949.245 rounded to the nearest one hundred?\nAnswer: 550900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 251588 take away -1?\nAnswer: 251589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 822708 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 q = 8164.90362 - 8165. Round q to 3 decimal places.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of -f**7\/21 + 2*f**6\/15 - f**5\/10 + 9*f. Factor n(c).\nAnswer: -2*c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27243840 a multiple of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 + 6*y. Let p be z(-5). Let d = -3 - p. What is the third derivative of -m**3 - m**3 - m**2 + 3*m**d wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of -3*u**2 + 1\/6*u**3 - 1\/20*u**5 + 0 + 0*u**4 - 18*u. What is v(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 374881504 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {o: 2, n: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49 - -67. Let q = -22 + 29. Calculate the remainder when j is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 7084 = g, 5*b - 42*g + 40*g + 8868 = 0. Which is bigger: b or -1774?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 8. Suppose -5*i = -5*f - 25, -5*i - 25 = 3*f - 10. Let p = 7 + i. Solve -u + b = s*u - p, 2*b = -6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, -86, -1.2, -20, -112?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 6*y + 4*p - 33, 0 = p - 2. Sort 9, -5, y in decreasing order.\nAnswer: 9, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 AM and 2:45 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 885510 is divided by 3402.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/36*(-9)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4949982*u - 3501135 wrt u?\nAnswer: -4949982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 - 150*h + 1875.\nAnswer: 3*(h - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -15  (b) -1  (c) -27549\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, -122 in decreasing order.\nAnswer: 2, -4, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*g + 9*g - 28 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2367 less than -2366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 4*s + 76, 4*s + 0*t = -3*t - 48. Let i = -13 - s. Calculate the greatest common divisor of i and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 32502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 10*j. Let d be b(-1). Let s(v) = 4*v**5 - 9*v**2 - 5. Let x(i) = -i**2 - 1. Let q(p) = d*x(p) + 2*s(p). What is the third derivative of q(f) wrt f?\nAnswer: 480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from {k: 1, r: 5, f: 5, h: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -206*z - 35. Let o(j) = -104*j - 18. Let w(x) = 5*o(x) - 3*v(x). Is w(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28810, 57609, 86428, 115273, 144150, 173065, 202024?\nAnswer: 231033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - 2*p + 12. Let c be n(-4). Suppose -29*a - 21 = -c*a. Let x(k) be the first derivative of -3*k**2\/2 + 4*k - 2. Give x(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of -g**10\/30240 - g**7\/840 + g**4\/4 + 2*g. Let v(j) be the third derivative of y(j). Find the third derivative of v(z) wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -6*w**3 + w**2 - 886*w + 885. Determine g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 140 divide 35057494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence alvl when four letters picked without replacement from {l: 6, a: 1, v: 11}?\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -103799018, -103799015, -103799012, -103799009, -103799006?\n\"Answer: 3*a - 103799021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 35599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.07 + 0.48284471.\nAnswer: 0.41284471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*w + 23*w = 76. Solve 4*v = w*o + 2*v + 14, 5*v = 2*o + 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 0\/2 + (2 - -5)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 79075 and 1475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - 0 - -2)\/2. Let w(r) = -27*r**3 + 2*r**2 + 3*r - 4. Let m(u) = 81*u**3 - 6*u**2 - 8*u + 11. Let h(c) = 3*m(c) + 8*w(c). Does 16 divide h(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 6*h**2 - 2*h + 8. Let f be v(6). Let n = f + 11. Solve -3*r + 2*s = r + 22, 5*s = -2*r + n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - -3) + (0 - (5 + 14)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 117, 236, 355, 474, 593, 712?\n\"Answer: 119*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5, 4, -1, -10, -23?\n\"Answer: -2*r**2 + 5*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 473768 is divided by 4783?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/o**(2\/23)*o**(-3\/4)*o*(o**(-3)*o*o)\/(o*o**(-3\/5)*o)*((o*(o*o**(-1)\/o)\/o)**(4\/15))**21 assuming o is positive.\nAnswer: o**(-629\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -5667.\nAnswer: 4\/5667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 899367818?\nAnswer: 2, 449683909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*c + 13 - 61 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of 1\/10*t**5 + 0*t**2 + 0*t + 0*t**4 - 3 - 1\/6*t**3. Factor z(h).\nAnswer: h**2*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4062 or -89347\/22?\nAnswer: -89347\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-124497252)\/(-161))\/11 + 4\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 3 + 2)*(-4*d + d + 2*d)*(0 - 1 + 2)*(0 - 1 - 1)*(4 - 6 - 9) in the form j + u*d and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -7*p. Let k(d) = d. Let b(x) = 5*k(x) + r(x). Suppose 5*y - 586 = -121. Let v(t) = -t - y + 93. What is b(v(z))?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -4*h - 5*f + 1, 3*h + 5*f + 11 = 0. Suppose h*a - 729 = 780. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.17 + -31.17. Let a = j - -32. Let z = 0.01 + 0.29. Is z <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 4*n)*(3085*n - 1 - 6 - 3095*n)*(3 - 1 - 1)*(0 + 5 + 1).\nAnswer: 240*n**2 + 168*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4602, 4946, 5814, 7470, 10178, 14202?\n\"Answer: 44*w**3 - 2*w**2 + 42*w + 4518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*z**5 + 27450*z**4 - 5937365*z**3 + 211354650*z**2 + 155714500*z - 61605000 = 0. Calculate z.\nAnswer: -1, 2\/7, 45, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 755027329 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 8 - 8. Let w = 17 - 3. Let z be (-4)\/w - (-4)\/14. Solve 0*v - 4*v + f = z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1609247 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*h**3*u - 371291*h**2*u**2 - 173*h**2*y + 131274*h*u**2*y - 629*h*u**2 wrt h?\nAnswer: 12*h*u - 742582*u**2 - 346*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 2) + -31 + 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**2 + 0 + 0)*((0 + 0 - 1)*(-4 + 6 - 3) - 9 - 4 + 4).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -152*y + 1026. Give h(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -3*c - 18. Suppose -2 - 4 = -r. Calculate the smallest common multiple of c and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1239\/(-532) - 2\/(-8) and -109\/22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -5*r - 2966, 0 = -11*r + 6*r - 5*w - 2960. Let a = 292 - r. List the prime factors of a.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**2 + 5*o**2 - 5*o**2)*(2*o - o - 2*o) + (4*o**2 - 4*o**2 + 2*o**2)*((4 + 0 - 5)*(4*o + 0*o - 6*o) + 0*o + 0*o + o + o - o - 2*o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.3 - 1.5. Which is the biggest value?  (a) -14  (b) y  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 111010 (base 3) to base 7\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000091376 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -7*h**3 + 8*h**2 - 5*h + 1. Let j(m) = m**3 - 1. Let x(l) = 6*j(l) + z(l). Is 9 a factor of x(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6021 is divided by 750?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 divided by 536698.\nAnswer: 19\/268349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 3321.299 grams?\nAnswer: 0.003321299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3773229773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 491 - 722. Let o = f - -289. Is 58 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*i + 17 - 167. Let c be -11 - -9 - (i - 2)\/(-2). Solve 10 = -3*j - c*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1263 by 2.\nAnswer: -1263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 0 = -2*o - 32, o = 5*q + 47. Let i = -382.863 - -0.863. Let v = i - -378. Which is the third biggest value?  (a) q  (b) v  (c) -1\/6  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18953 - 16834 = 796*v - 7927 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 376621 is divided by 125507.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-6)*(16 + -18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.032 - -0.168. Which is the smallest value?  (a) h  (b) -0.1  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250 is divided by 109?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3088 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 14. Let g(u) = u**2 - 8*u + 6. What is the remainder when g(l) is divided by 26\/8 - 3\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -4857*t - 46. What is the tens digit of g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 0 + 1 + sqrt(200))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 10 + 0 = 0. Let y(s) = 3*s + 0*s - d*s. Let p(n) = 2*n**2. What is y(p(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 309460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1737 (base 9) to base 2\nAnswer: 10100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-18) - 19\/(-36). Put -0.1, i, 4 in decreasing order.\nAnswer: 4, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -72 - -74. Suppose 0 = -2*i + 3*i - 3*c - 2828, 0 = 2*i - g*c - 5644. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*m + 34 = -5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*h - 77*h - 5007 = -43*h - 507 for h.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (137\/(-28))\/(3362\/328) + 9\/21?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v - 1. Let j be a(-1). Let n(y) be the third derivative of y**4\/24 + 5*y**3\/6 - y**2. What is the units digit of n(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -177200*((-2)\/8 - 110\/(-40)). What is u rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 56016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (162\/(-60))\/(-4*(-9)\/60).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 45802.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 AM and 11:21 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1967012363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1465 = 696*n + 4103 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 38650764803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 9*r + 4. Let q(f) = 19*f + 9. Let s(i) = 4*q(i) - 9*u(i). Let g(n) = -n. What is g(s(y))?\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*d**2 + 25*d**2 + d**2)*(-2*d**2 - 3*d**2 + 4*d**2) + (-d**2 + d**2 - 2*d**4)*(0 - 1 - 1) - d**4 - 2*d**4 + d**4.\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z + 3. Let k(d) = d + 1. Let s(h) = -h - 12. Let q be s(-10). What is q*l(m) + 5*k(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.48 + -0.48. Put k, 15, -1 in increasing order.\nAnswer: -1, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130659271.\nAnswer: 331, 599, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 639492208 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(32\/12) + 26\/8. Suppose 5*y - 6 - f = 0. Solve -k + y + 3 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 12:49 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k. Let s(u) be the third derivative of 0*u + 11\/20*u**5 + 0*u**3 + 0*u**4 + 14*u**2 - 1. Give s(z(q)).\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -149 (base 13) to base 14\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 6*g**3 + 5*g**2 - 5. Let l = -1 - -16. Suppose 0 = 4*n - 3*n + 5*n + 18. Let b(p) = p**3 + p**2 - 1. Calculate l*b(i) + n*o(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160*j + 266674 + 646770 = 179364. Calculate the remainder when j is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n + 14. Suppose 0 = -s + p - 4, -s + p = -2*p. Let l be x(s). Let o(m) = m**2 - 2*m - 3. Let g be o(4). Sort l, g, -5 in decreasing order.\nAnswer: g, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -67 + 105315?\nAnswer: 105237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16639?\nAnswer: 7, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -22290, -22812, -23334, -23856?\n\"Answer: -522*g - 21768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8.88 - 9. Let u = 0.28 - x. What is the second smallest value in -2\/7, u, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209) + sqrt(209) + -2*(sqrt(209) + 2*sqrt(209)))\/((sqrt(77)*1)\/sqrt(7)) - (1 + sqrt(1216) + 4)*6)**2 + -2.\nAnswer: 3120*sqrt(19) + 52274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 702366 and 2793?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.2*38149.\nAnswer: 45778.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 - 28*c**2 - 25*c - 79. Let l be d(-27). Sort 5, 4, l in increasing order.\nAnswer: l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 92 - 642\/7. Let v = 1 + 2. Suppose -n = -k - 6, 2*n - 5*n + 6 = v*k. What is the biggest value in k, b, 1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 3:02 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 3 + 11 = 4*n, 5*n = 3*u - 30. Suppose 4*k + 10 = 5*k. Calculate the lowest common multiple of u and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/5)*w*w*w**(-4\/5)*(w\/w**(-6))\/w**5)\/(w**(2\/15)\/(w**4\/w*w)*(w**(-2\/5))**(-40)) assuming w is positive.\nAnswer: w**(-131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of t**4\/6 + 12*t**2 - 900*t. Let l(g) be the second derivative of -g**3\/3 + g. What is y(l(s))?\nAnswer: 8*s**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 333, 344, 355, 366, 377?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1919 - 10091 = -189*d - 38*d for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2513*y + 20165. What is s(-8)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (270\/(-450))\/((-27)\/60). What is the closest to -0.2 in x, -10, -2\/7, 2.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-246)\/6888)\/(3*6\/(-63))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 38 = l + 4*l, -4*r = -5*l + 31. Let x = 18 + -13. What is the smallest common multiple of l and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqeqqqqeqqeqeqeee. What is prob of sequence qe?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-26))\/((-828)\/(-2691))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 6*h**2 - 4*h - 9. Let b be z(-6). What is the highest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -634, -617, -598, -577, -554?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 248 = 8*z + 205, -3*z + 2*d = -16 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, -6, 11, 30, -10.\nAnswer: -10, -6, 0, 3, 11, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/24 in -0.79, -167, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -3*sqrt(1872))**2.\nAnswer: -144*sqrt(13) + 16852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(190)*-5 + sqrt(190))\/sqrt(10) + 1.\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 20. Let p = l + -2. What is the remainder when 26 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - -2b6156a?\nAnswer: 2b61567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -676, -679, -682, -685, -688?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -h**2 + 260*h - 260*h + 2 in the form d + w*h**2 + v*h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 289859, 289860, 289861, 289862, 289863, 289864?\n\"Answer: o + 289858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26007643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - c62?\nAnswer: -c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 16 - 9)*(3 + 0 - 4)*(0*w**2 + 0*w**2 - w**5).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -2\/27*k**3 + 2\/9*k**2 - 2\/9*k - 2. Factor p(z).\nAnswer: -2*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 565200874 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -153 + 193. Let i be 5 + 375\/36*(-16)\/q. Solve -1\/3*p**2 + 0*p - i*p**3 - 1\/6*p**5 - 2\/3*p**4 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -123, -133, -143?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 79 + -119. Let m = n + 40. Is 1 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-702)\/1092)\/(2\/(-7)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - 20*a + 23. Calculate o(-22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.3 - 0.265. Let t = -19.965 - a. Let n = -22 - t. What is the closest to -6 in -1, n, 3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17035 + 17034.5. What is the closest to c in -4\/3, 0.06, -0.4, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2*(-1 + 1\/2). Let w = 1190 + -1188. Put q, w, 3 in decreasing order.\nAnswer: 3, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -15577  (b) 4\/9  (c) 0.4  (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-30)\/25)\/((-2)\/5). Suppose -i = -5*n - 4*g + 1, -4*n = 2*g - 8. Let u = 6 - n. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22 + -3103?\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 - 2*h + 1. Let p = 3158 + -3158. Determine v(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - -2 - (0 - (-1 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1686)\/(-14) + (-42)\/98. Suppose u = -57*k + 63*k. What is the lowest common multiple of 50 and k?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10868 + -408.\nAnswer: 10460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11153 by -168.\nAnswer: 11153\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**3 - 2*g**3 - 400 - 18*g**2 - 38*g**2 - 260*g - 6*g**3.\nAnswer: -4*(g + 4)*(g + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (64\/38880*27)\/(833\/140 + -6).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30104313 + -1?\nAnswer: -30104314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = -119 + 144 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 11:37 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r + 45 = 339. Suppose 0 = 17*u - r*u + 508. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -443 - -447. Suppose 2*l = -2*l + w*k + 48804, 5*k = -l + 12213. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/94 and 79\/9306?\nAnswer: 9306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 429658 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1661 + 1183. Let p = a + 523. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 473569 is divided by 61.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 1 + (51 - 59 - -27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-29)*w*w)\/w**(4\/3))\/(w**(-28)*w\/(w*w\/(w\/w**(-2\/63)*w))) assuming w is positive.\nAnswer: w**(-86\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1\/532 - 809\/5852. Let f = 17652 + -9483. Let p = f - 179809\/22. Find the common denominator of w and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/128260 and -11\/8.\nAnswer: 256520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36320, -144582, -325016, -577622, -902400, -1299350, -1768472?\nAnswer: -2309766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 58 + -34. What is the greatest common divisor of 16 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2808)\/(-352))\/3 + 3. Let l = o + -54\/11. Let k = -4 + 3. Which is the closest to 0?  (a) l  (b) 6  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1046834491 and -39.\nAnswer: -1046834530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 52  (b) -9  (c) 262\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7860, -15643, -23426, -31209, -38992, -46775?\nAnswer: -54558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -18) + -9 - -20\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 plus -140684?\nAnswer: -140681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 31405711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 11.2. Let n = 272.891 - 273. Let z = -0.109 - n. What is the smallest value in -0.4, y, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 77688.49ug?\nAnswer: 77688490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -3*i**2 + 7 - 4 - 4*i + 5*i**2 - 4*i**3. Suppose 4*c - 5 = -c. Let w(d) = 6*d**2 + 2*d**3 + 4*d - 5*d - 3*d**3 + 1 - 5*d**2. What is c*y(a) - 2*w(a)?\nAnswer: -2*a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-135)\/2*74497\/(-410))\/((-3)\/(-8))?\nAnswer: 2, 3, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 200033220 (base 5) in base 3?\nAnswer: 1110210211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {u: 9, m: 7}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 16*m**3 - m**2 + m - 1. Let i be d(1). Suppose 5*f + 2*l - 7*l - i = 0, -4*f - 3*l = -26. Suppose -7 - 168 = -f*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 26 = f - 3*f, 1 = 2*o + 3*f. Suppose -o*m - 6 = a, -2*a + 2 = m + 5. What is the third biggest value in 3\/7, 6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.04 - 0.04. Let s = 98 + -100. What is the smallest value in s, -0.2, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*k + g - 1261 = 0, -844 = -2*k - 4*g. Suppose 5*z = -3*l + k, 13*l = -2*z + 14*l + 157. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of -y**7\/126 - 11*y**6\/72 - 2*y**5\/3 + 5*y**4\/2 - 28*y**2. Factor t(k).\nAnswer: -5*k*(k - 1)*(k + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22110200 (base 3) in base 5?\nAnswer: -144144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 3*d - 19102 = 0, 0 = -2*m + 97*d - 99*d + 7636. Calculate the greatest common divisor of m and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*b + 5*b. Suppose 0 = b*a + 25 - 893. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16*k**2*m - k**2 - 15*k*m - 364*k - 6*m wrt m.\nAnswer: -16*k**2 - 15*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 158282854*l**5 + l + 7421077.\nAnswer: 3165657080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22385\/8 - 2788. Let c be -3 + (-140)\/(-44) + -57. Let a = 57 + c. Find the common denominator of a and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 - 15.93. Let u = -0.09 - c. Let l = 3.24 - u. What is l rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -17*w + 271. Let d(n) = -200*n**2 - 1. Calculate u(d(r)).\nAnswer: 3400*r**2 + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10138?\nAnswer: 2, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(475) - sqrt(475) - sqrt(475)) + sqrt(475) + sqrt(475) + sqrt(19))**2 - -5*(sqrt(19) + sqrt(19)*-1)**2)*4.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eu when two letters picked without replacement from euue?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-8) - 2) + 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1224 - 1234. Put 3, -34, -1, t in decreasing order.\nAnswer: 3, -1, t, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1044995418 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10060  (b) 313  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Add -4715 and 5.\nAnswer: -4710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j\/j**(-7))\/j*j)\/j*j*((j**(2\/5)\/j)\/j*j)\/j)\/(j**(-2\/3))**(-2\/17) assuming j is positive.\nAnswer: j**(1867\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 245 + -131. Let d = -117 + u. Let a be (6\/(-3))\/(2\/d). Solve -x = x + 2*k - 12, 4*k - 17 = a*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -3*y + 156. Let h = -588 - -626. Is 2 a factor of s(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11250 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -2*n + 36, j + 1 - 4 = 4*n. What is the highest common factor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39*((-177)\/18 + 10))\/((-2)\/(-448)*16).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((40\/(-12))\/(-5))\/21. Which is bigger: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*g - c, 7*g - 4*c = 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-49 - (-31 + 98)) + 123.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + y**2 + 6*y. Let k(o) = -2*o - 1. Determine -6*k(i) - 2*p(i).\nAnswer: -2*i**3 - 2*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 2. Suppose -4 = -r + d. Let h(o) = 2*o**2 - 7*o - 6. Let q(a) be the third derivative of a**4\/24 + a**3\/6 - 4*a**2 + 5*a. What is r*q(y) + h(y)?\nAnswer: 2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 42d223b - -17?\nAnswer: 42d2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 40, 79, 118, 157?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a. Let m(p) = 30747*p + 2. Calculate y(m(i)).\nAnswer: -61494*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22\/((-704)\/(-24))*-8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 - 19*r - 86. Calculate s(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*c**2 - 2*c**2 - 2*c**2)*(16 + 14 - 5) - 28 + 28 - 67*c**2 as j*c**2 + g + n*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.1, 0.395, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 2:23 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c - 5*c**3 - 2*c**2 - 4 - 3*c**3 + 9*c**3 to l*c + v*c**2 + q*c**3 + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 554*y**5 + 8500*y**4 - y**3 + 219*y**2 + 202*y - 178?\nAnswer: 33240*y**2 + 204000*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -7, 1, -1.2, 14566?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, a: 9}. Give prob of picking 1 a and 2 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*k - 3 = k, -2*k = 4. Solve -2 = 5*m - r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 223123 (base 8) to base 10\nAnswer: 75347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/117*510\/50. Let w = t + -6\/13. Put 1, 0.2, w in descending order.\nAnswer: 1, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -2*w**2 + 13*w - 32. Let g be p(4). Let h(x) = -20*x**3 + 12. Let o(d) = d**3 - 1. Determine g*o(r) - h(r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2805 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 182064674 and 682?\nAnswer: 182064674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of (-5)\/(-10)*(807 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/10 and (-555)\/100 + (3 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z*z**(1\/4))*z**(-2\/11)\/z)\/((z*z**5)\/(z*z**(-4)\/z)))\/((z**(-1)*z\/(z*z*z**(-1\/2)))\/(z\/(z\/z**(-2\/3)))**9) assuming z is positive.\nAnswer: z**(-745\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 + -4 - -3)*3. Suppose -p*u + 60 = u. Let r(c) = -5*c**3 + u + 13*c**3 - 9*c**3. Let o(k) = 5. Determine -15*o(d) + 5*r(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1754 + 1844. What is the highest common divisor of c and 204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 34238 - 33487. Let z = s + -12743. Suppose 10*f - 2758 - z = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 2.8, -0.1, -5, 3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 796*v**2 + 34553*v - 34553*v to the form m*v**2 + k*v + t and give m.\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m = 4*h - 31804009, 4*m - 2 + 6 = 0. Round h to the nearest 100000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000556 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 2:59 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -3. What is the common denominator of (-95)\/(-14) + z + 1 and (-4)\/(-24)*69\/(-11)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*l = 123790 + 236910. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 2 d when four letters picked without replacement from {l: 1, z: 1, d: 2, s: 2, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*v**2 - 9*v**2 - 45*v - 9*v**2.\nAnswer: -9*v**2 - 45*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/2 - 6\/4. Let s(a) be the second derivative of a**4\/4 + 2*a**3\/3 - a**2 + a - 462. Let p be s(m). Solve x + p*r + r - 13 = 0, r = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1745672?\nAnswer: 2, 31, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*b + 1699*b**3 - 5 - 1696*b**3 + 12*b + 15 to the form s*b + g*b**3 + j*b**2 + z and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 9.6. Let o = 7 + -6. What is the third biggest value in 0.5, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 139 - 140. Is i smaller than 105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 38\/39  (b) 0.1  (c) -5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8987041 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -4*c + 46 + 5 - 2, 0 = -17*s + 8*s - c - 34 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5241, -10477, -15709, -20937, -26161, -31381?\nAnswer: -36597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 765\/(-170)*-2*3\/(-18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 2. Let q = 94 - 92. What is the highest common factor of q and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*c**3*d**2 + 87*c**2*d**3 + 9*c - 3*d**3 - 1 wrt c.\nAnswer: 12*c*d**2 + 174*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 9 + 3 + -2 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19906911 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**2 + 115*n - 110.\nAnswer: -5*(n - 22)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39705 is divided by 3602?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -215*u - 1454. Give j(-4).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -265.0154 - -0.0154. Let q = f + 257.72. Round q to 1 decimal place.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 6*z - 4. Suppose -2*d + 5 = -d + 5*u, -5*d = 5*u - 25. Let m(p) = p. Let r(g) = d*m(g) - l(g). Let y be r(-7). Solve 5*w + y = -9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9465 is divided by 2365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 8, t: 1, g: 1, f: 5, z: 3, j: 2}. Give prob of picking 3 a and 1 t.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 3*d**2 + 1663*d + 2. Let n(s) = -16*s + 1. Calculate a(n(x)).\nAnswer: 768*x**2 - 26704*x + 1668","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -3*m**2 + 51*m + 16. Let b be x(17). Let p(t) = -t**3 + 17*t**2 + 17*t - 28. List the prime factors of p(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 731114, 731116, 731118, 731120?\nAnswer: 731122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-7) - (-13838)\/2618. Put -6, 2, m, -9, -5 in increasing order.\nAnswer: -9, -6, -5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3271737 and 3739128?\nAnswer: 26173896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of -r**5\/70 + r**3\/7 - 2*r**2\/7 + 6*r. Solve m(j) = 0 for j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 3)*(-1 - t + 1) - t + t - t + (-2 + 2*t + 2)*(-4 + 4 + 1) + (-1 - 2*t + 1)*(0 + 1 + 0) - t + 3*t - t + 4 - 3*t - 4.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from {p: 4, i: 1, n: 8}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 4) + 4 + (3 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 10 = -20. Let w = 8 + d. Let v(j) = -j**2 + 3*j + 3. Let o(c) = -2*c**2 + 7*c + 7. Give w*v(l) + 3*o(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 17361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - 0.85.\nAnswer: -5.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) -2671  (b) -103  (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3510 divided by -30\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 = -18*p + 6*p + 7*p + 9*p - 11*f, 4*f = -5*p + 177 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 2*v - 10 - 7.\nAnswer: -2*v - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 PM and 7:55 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t + 113 - 46 - 39 - 30 + 411*t**2 in the form j + g*t + u*t**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/((-21)\/(-180)))\/(3\/315). What is the greatest common factor of 84 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136)*1*-6)\/sqrt(8))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 12*p**2 - 20*p + 89. Determine m(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*r + 26*r - 65*r - 56*r - 48*r.\nAnswer: -187*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 141790*n**3 + 6 - 8 + 4.\nAnswer: 141790*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 44 - 37. Let t be (c\/(175\/(-40)))\/((-2)\/40). Suppose -2*l + t = -3*s - 0, 0 = -l - 4*s + 38. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-1\/22)\/(x*x**2\/x) assuming x is positive.\nAnswer: x**(-45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n**2 + 6240*n**3 + 0*n**2 - 4*n**2 - 6348*n**3.\nAnswer: -108*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1377) + (sqrt(1377)*-2)**2 + -2 + ((sqrt(1377) + 0)**2 - sqrt(1377))*-6 - ((-3*sqrt(1377))**2*1 + -4).\nAnswer: -15145 + 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5219329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = -20, -9*l + 547*d - 550*d = 51 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 672?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-18)\/2)*(-558)\/279*(-2)\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(1\/8)*q*q**(-19))\/(q**(2\/9)\/q*q**(-16)\/q) assuming q is positive.\nAnswer: q**(47\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2376, 4749, 7122, 9495, 11868?\nAnswer: 14241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, u: 1, a: 5}. Give prob of sequence as.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, q: 1, s: 1, l: 2, d: 1, x: 1}. Give prob of sequence qids.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 1 = -0*k + 5*k, -2*k = h - 7. What is the second derivative of -310*z - 2*z**2 + 6*z**3 + 17*z - 2*z**h wrt z?\nAnswer: 24*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 + 30*j**2 + 85*j + 110. Determine z(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56 - -77. Solve r = 4*f - 9*f + 2*k, -f = 5*k - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*r + 11 + 24 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -3*f**3 - 8*f**2 - 2*f - 8. Let k be m(-4). Suppose k*d = 59*d + 210. What is the greatest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39894, 39940, 39986, 40032?\nAnswer: 40078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -23 + 1753*j - 28 + 51 as z*j + i and give z.\nAnswer: 1753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-0.75.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 - -61. Suppose -18 = -m + 5*u, -3*m - u = -6*u - j. Are -6 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.95 - -1.45. Suppose 5*q + 8*q + 130 = 0. Which is the third biggest value?  (a) q  (b) -5  (c) y  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12.4, 20.86, -0.5 in increasing order.\nAnswer: -0.5, 12.4, 20.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 14, -6.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 416324 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -u + 3*t, 2*u - 18 = -u - 3*t. Let w = -4 + 6. Suppose w = -3*o + 14. Solve 0*h + h - 3 = -o*z, -u*z = -4*h - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 13*l - 60 = 0. Let n(i) = -i + 2. Let s(h) be the third derivative of h**4\/24 - h**3\/3 + h**2. Calculate l*n(q) - 5*s(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + 40. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9287129, -18574263, -27861397, -37148531, -46435665, -55722799?\n\"Answer: -9287134*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b**5 - 6576*b**4 - 2636046*b**3 - 23291700*b**2 - 38492175*b + 64426500 = 0. Calculate b.\nAnswer: -1668, -515, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 7, -1\/8, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in thirty-three fifths of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 36 = -3*i, g + 5*i = -g + 33. Let p = 412 - 410. Sort p, g, 4, -2.\nAnswer: -2, p, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 761 and -0.01.\nAnswer: 760.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1049503, 1049508, 1049517, 1049530, 1049547?\n\"Answer: 2*j**2 - j + 1049502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 + 6*p**2 - 6*p - 9. Let c be v(-7). Let f = 7 + c. Let i = -7 - f. Solve -s + i = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -2  (b) -2\/3  (c) -0.5  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18 - (10\/(-4))\/(14\/(-28)). Solve 7*r = -27 + i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*r**2 - 5*r**3 - r**3 + r**3 wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 + -13.18. Let i = 2.82 - a. What is the biggest value in -3, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -x + 694, -x + 285 = 5*c - 415. Calculate the highest common factor of 30 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -1740*o**3 - 6890*o**2 + 480*o + 25. Let j(r) = 145*r**3 + 574*r**2 - 40*r - 2. Let p(g) = 25*j(g) + 2*t(g). Factor p(x).\nAnswer: 5*x*(x + 4)*(29*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 4*l**3 + l**2 + l + 2. Let b = 64 + -75. Let i(f) = 21*f**3 + 6*f**2 + 5*f + 11. Give b*n(s) + 2*i(s).\nAnswer: -2*s**3 + s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 - (-6 - 2)) + (-2 - -17) - 17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.01 + -0.29. Let u = -14 + 16. What is the nearest to 1 in -3\/4, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.5 + 5.5. Which is the nearest to 2?  (a) -0.1  (b) p  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 490?\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + g**2 - 52*g + 3. Give a(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(75\/(-10) + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*w - 5*w**5 - 9*w + (-1 - 2*w**2 + 1)*(2*w**2 - 2*w**2 - 2*w**3) + 126*w - 126*w - 65*w**5.\nAnswer: -66*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 - 12*w**2 - 3*w - 9. Is 10 a factor of v(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 488 = 2*g + 2*g - 4*h, 0 = 4*g + 5*h - 470. Is (-484)\/(-2) - g\/(-24) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2902 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -40, 3, -111 in ascending order.\nAnswer: -111, -40, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.302 + 3.32719. What is m rounded to four dps?\nAnswer: 0.0252","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 divided by 817451?\nAnswer: 12\/817451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*q**3 + 234*q**2 - 10246*q wrt q?\nAnswer: 12*q + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32601990?\nAnswer: 2, 3, 5, 239, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from uuuvccocoaavcac.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 41372128 divided by 3\nAnswer: 41372128\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 20 - 12. Differentiate 9*u**2 + 16*u**z + 13*u**2 + 8 + 9 wrt u.\nAnswer: 76*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + 2*a**2 - 4 + (4*a - 3*a - 2*a)*(2 - 2 - a) + 110*a**2 + 12 - 12 - 5 + 5 - a**2 + (-1 + 2 - 3)*(4*a - 4*a - 4*a**2).\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 11)\/10*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from eveveeeeeeeee.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of 331*q**6\/24 - q**5\/20 + q**4\/6 - q**3\/3 - q**2 - 240*q. What is the hundreds digit of d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.73847 to two dps.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 33234881 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 130*f**4 + 3*f - 131.\nAnswer: 1560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -25601 + 25613. Let p(m) = -30*m**3 - 5*m**2 - 4*m - 3. Calculate the lowest common multiple of f and p(-3).\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 157 + 3. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - o + 58. Let g be u(0). Let z(b) = -b**2 - 3*b + 12. Let m be z(-6). What is the units digit of g\/6 + (-2)\/m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-3\/4)\/v**4*(v**(-7\/4)\/v)\/v**(-1\/4)*((v\/v**(-8))\/((v**10\/v)\/v))**19 assuming v is positive.\nAnswer: v**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -320*y - 26. Let a(x) = -2241*x - 197. Calculate -4*a(m) + 30*h(m).\nAnswer: -636*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1368*i - 5*j = 1365*i - 39, -i - 4*j + 4 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -1\/7, -53\/2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwnnn. What is prob of picking 2 w and 1 n?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*l + 22, 2*a - 16 = l. What is the closest to -1 in a, 8, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.042578 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 899 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 347528 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 232*r**4\/7 - 1534688*r**3\/7 - 4552686*r**2\/7 - 470826*r + 119124\/7 = 0 for r.\nAnswer: -3\/2, 1\/29, 6618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 - 46298741.\nAnswer: -46298740.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -355.9 * 11634\nAnswer: -4140540.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 873, -0.4, 1\/42, -5?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7609446660.\nAnswer: 2, 3, 5, 41, 3093271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1297000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oihiiivovoiooioihhoi. Give prob of picking 1 v and 1 i.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.002865 + 0.502865. Let a = 13.8 - 0.8. Sort i, a, 0 in descending order.\nAnswer: a, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-11))\/(672\/1232)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/6*4\/6. Let b be (-1 - o)\/(1*-2). Let w = 1 - b. Solve z + 4*t + 12 = w, t = -5*z + 3*t - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -33212?\nAnswer: 33205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -285 + 307. Calculate the remainder when 791 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 523424311 (base 6) in base 15?\nAnswer: c05e4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 414*v = -216*v - 203*v + 445*v + 32592 for v.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12932 - 1409598\/109. Let t = -150214 - -150214. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + 2b54a79?\nAnswer: 2b54a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 5*c**2 - c - 1. Let j be t(-1). Let z be 66\/8 - (-2)\/(-8). Solve 2*u = 2*r + z, u + j*r - 3 = 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -27*z - 4*z**2 + 13*z**2 - 41 + 5*z - 10*z. What are the prime factors of i(-12)?\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-21) - 21\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7a8a7687 - 1?\nAnswer: 7a8a7686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 8, 25, 40, 53, 64?\n\"Answer: -w**2 + 20*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1155977 is divided by 9846.\nAnswer: 3995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 8 = 24. Suppose -j*z + 2*z - 11 = -5*c, z - 14 = -4*c. Suppose c*x - 17 = 7. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 5. Let p(h) = -2*h**2 + i - 4 + 2*h + 3 - 2. Let z be p(1). What is the closest to 0.1 in z, -1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 1526?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2970 and 113749515.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 6*c**2 + c. Let g be q(-1). Suppose 2*y = 2*i - g*i - 54, 3*i - 2*y = -42. What is the units digit of (-1)\/(-2*(-2)\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2135988716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -45, -61, -77, -93?\n\"Answer: -16*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 95, 187, 279, 371?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 197 + -8 - 5\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (-1 - 0)*(-1254)\/(-132)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 168 and 7106708.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 7:10 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4 = 2*f - 36, 0 = -3*o + f - 34. Let z = 33 + o. Suppose 0 = -l + u, 3*u = z - 6. What is the highest common divisor of 10 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*t - 39 - 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170 + 22 = h. Suppose 5 = 3*a - 4. Suppose 0 = -4*k + 4*d + h, 4*k = -0*k - a*d + 227. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 3*r = -22, -34*a - 3*r = -31*a - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1612152 - -1612155. Suppose 4\/7*z**2 + 0*z + 2\/7*z**l + 0 = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158 is divided by -2 - 1 - (160 + -258).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (12\/(-15))\/((-4)\/50). Let o be (-1)\/2 - n\/(-4). Suppose 0*f = 5*f - p - 1599, -o*f + p = -639. Round f to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o + 6*o + 20 = 4*r, -4*o + 2*r + 12 = 0. Put -3, o, 2, -124 in increasing order.\nAnswer: -124, -3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 96\/45 - 10\/75. Let o = -300 - -910\/3. Find y such that 8\/3*y**d + 2\/3*y**3 + o*y + 4\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.01 + -1.01. Suppose 16 = 2*h + 2*h. What is the nearest to t in 2, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 + 5*d + 6. Let w be n(6). Suppose -5*v + m + 48 = -w*v, -2*m + 14 = v. Let u = v + -14. Put -6, u, -3\/5 in descending order.\nAnswer: -3\/5, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iqqy when four letters picked without replacement from {q: 2, i: 1, f: 1, x: 7, y: 2, n: 2}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -8*u + 26. Let w be v(-3). Calculate the highest common divisor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-3))\/((572\/539)\/52)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -3*t + 43. Let o be 16 + -1 + (0 + 2)*200\/(-80). Calculate l(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/2)\/(46\/1265*(-5)\/(-4))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 18810961 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7514 + -35?\nAnswer: -7549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 104, 621, 1474, 2657, 4164, 5989, 8126?\nAnswer: 10569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*x**3 - 22*x**3 + 35*x**3 - 36*x + 2*x**2 to the form v*x**3 + c + z*x + r*x**2 and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m + 5*m = 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -3*i + 29, 2*k + 3*k - 5*i - 5 = 0. What are the prime factors of 2190\/k - 81\/54?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/449 and -35\/2.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*h - 31*h = -16. Sort 1, -23, h in increasing order.\nAnswer: -23, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133858427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 178128 and 61236448.\nAnswer: 551128032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.84 + -0.76. Let m = 6.6 + f. Sort m, -1\/4, 0.9, -5 in increasing order.\nAnswer: -5, -1\/4, 0.9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 157077 by -52359.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2\/32171 - 997173\/2058944. What is the common denominator of 19\/206 and v?\nAnswer: 6592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d - 134 + 119 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 51 - 27. Suppose 5*y + 13 = -4*b, 2*y - b + 3 = -3*y. Let p(k) = 12*k**2 - 4*k - 3. What is the remainder when r is divided by p(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5 - (-9 - 1 - -5 - 18). Let u be (5\/(-3))\/((-15)\/c). Solve -3*g - u = 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-14))\/((-33)\/(-924)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*t - 371 + 373 + 3*t)*(9*t + 11*t - 7*t).\nAnswer: -39*t**2 + 26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-5\/2)\/(u\/u**(-5)))\/(u*u**16*u**(3\/8)) assuming u is positive.\nAnswer: u**(-207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -1, -3, 7\/3 in decreasing order.\nAnswer: 5, 7\/3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 3*y - 2*y + 56904. Round y to the nearest 100.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*n + 2*l, 6*l - 4*l = -10. Let h(b) be the second derivative of 0 + n*b + 1\/2*b**2 + 1\/3*b**3. What is h(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b + 1. Let o(u) = -2*u - 4. Let i be o(-4). Let j = i - 0. Suppose -j*l + 3*l - 5*g = 16, 0 = -2*g - 8. Determine r(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -96 in -2, -6847, -7, 0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3813303 and -5.\nAnswer: 19066515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -89.9207 rounded to 1 dp?\nAnswer: -89.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -80 divided by 7377?\nAnswer: -80\/7377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 5:17 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - 4*f + 0*f)*(211746*f**4 + 237194*f**4 - 427980*f**4).\nAnswer: -41920*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-60) - (-7)\/(-28).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 + 35. Suppose -2*h - 4*j = -12, -2*h - 4*j = -j - l. Solve w = -h + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -54*f**3 - 2*f**2 - 2*f - 1. What is the remainder when a(-1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) 166  (c) -22\/9  (d) -5  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 14d86 (base 14) to base 6\nAnswer: 1041002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4 + 1)*(-3*l - l + 2*l) + 16*l - 80*l - 142*l.\nAnswer: -204*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -839475 * -2.\nAnswer: 1678950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 + 1. Let n(o) = -2*o**3 + o**2 + 2. Give -n(v) + 3*r(v).\nAnswer: -v**3 - v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -416 by -52.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -196\/85 + 13\/5. Let g = -2\/51 - p. Find the common denominator of (-62)\/(-25)*10\/8 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-2\/25)\/z**(-5)*(z\/z**(4\/3)*z)\/z*z**(2\/21)\/z assuming z is positive.\nAnswer: z**(1933\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -69185, -138412, -207639, -276866?\nAnswer: -346093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of -7\/6*u**3 + 0 - 1\/12*u**4 - 12*u + 9\/2*u**2. Give n(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13)\/(-130)*10)\/(4\/(-28)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 5*p**3 - 3*p + 1. Let j be w(2). Let h be (-6)\/(-10) + 119\/j. What is the first derivative of -59*r**4 + 45*r**4 - 2 + 34*r**h wrt r?\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 307405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -5 and -26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*s**3 - 26*s**4 - 14*s - 11*s**3 + 35*s**3 - 8*s**3 in the form a*s**3 + u*s**4 + f + g*s + z*s**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/((u**(4\/3)*u)\/u))\/(u**1*u*u))\/((u**2\/u)\/u**(-1\/6))*u**(2\/7)\/((u**(-3)\/u*u)\/u)*(u*u**(2\/7))**(5\/4) assuming u is positive.\nAnswer: u**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 185*k**5 - 3*k**4 - 2634*k**2 wrt k?\nAnswer: 11100*k**2 - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-12)\/(-9)*3)\/((-92)\/(-2047)) is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 11, 0, 6858, 352?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 2*a**3 - 239*a**2 - 5116*a + 1378. Determine u(138).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -951.1432 less than -0.027?\nAnswer: 951.1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 3 + 2 - v - 5. Let o(m) be the second derivative of m**4\/24 - m**2 + 2*m. Let j(k) be the first derivative of o(k). Determine z(j(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -57 divided by -20\nAnswer: 57\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*h)*(h + 0*h + h) + 2*h - h**2 - 2*h - h + h + 2*h**2 - 4*h**2 + h**2 + h**2 + 1598*h - 1613*h + 4*h**2 - 2*h**2.\nAnswer: -3*h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 5 + 15*h + 153*h in the form j + v*h and give v.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -105\/58 - -661\/261. Find the common denominator of -17\/20 and g.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4958191 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/11 - (4095\/26)\/(-21)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dndnu. Give prob of sequence un.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 + -43307196321?\nAnswer: -43307196320.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 0)\/(8\/(-24)). List the prime factors of -2 - 126\/(-3) - o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1222?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 162*c**2 + 24*c**2 - c - c.\nAnswer: 186*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*z - 54*z = 18*z - 432 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-3\/7)\/d*d*d)\/(d**(-6\/11)*d)*d**(5\/6)\/d**(-1\/2) assuming d is positive.\nAnswer: d**(335\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 562 and -0.022614?\nAnswer: -12.709068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of o**5\/60 + o**3 + 3*o**2. What is the lowest common multiple of 4 and p(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13398 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-10)\/15*3*3. Let b be w\/(1 - (0 + -1)). Let l(x) = x**3 + x - 1. Determine l(b).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 253, 105, 1.\nAnswer: -5, 1, 105, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(65)*1*-4)\/sqrt(5) + -6*sqrt(208)*-5 + 0)**2 + 5.\nAnswer: 140613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {t: 3, j: 1, e: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - f - 3*i = -48, 2*f - 4*i = 20. Let b be (410\/3)\/(3\/f). Round b to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 838 - 833. Let m(k) be the first derivative of 1\/15*k**h + 0*k + 0*k**3 - 1\/4*k**4 - 4 + 2\/3*k**2. Solve m(q) = 0 for q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/150 - (-42149)\/2825.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 176\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1053) + sqrt(1053) + -1 + 3*sqrt(13)*6 + -4*(sqrt(52)*-1 + 2).\nAnswer: -9 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/375 and 38\/225.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 8. Suppose -g - 1 = -8. What is the smallest common multiple of g and y*2 + 7 + 1?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by -1301\nAnswer: 9\/1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -330 + 323. Suppose r - 4*r + 3 = 0. Which is the closest to 0?  (a) r  (b) 0.2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.3, -414\/31, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 + 12*o - 8. Determine y(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + -1. Let d = 5 + w. Put -3, d, -5 in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k + 2*s, 6*s - 4*s = -4*k - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 587708 is divided by 81?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-40)\/(-22) + (-4)\/(-22). Let w(l) = -3*l**2 + l**q + 3*l**2. Let p(y) = -y**2. Give w(p(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -419 and -84671?\nAnswer: 35477149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -7.612\nAnswer: -2.2836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3*v + 162 = 0. Let b(j) = -231*j - 2. Let w be b(-1). Let d = w + v. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209)*-3 - sqrt(209))*-1)\/(sqrt(275) - -1*sqrt(275) - sqrt(275)) + -1.\nAnswer: -1 + 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 111?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - y + 2 = 0, 7*y = 2*y - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1612?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 1, -3, -7 in increasing order.\nAnswer: -7, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 + (13 + -25 - (-17 - -5) - 12)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 2, -5, 8 in ascending order.\nAnswer: -5, 2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5819256 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 2*s = 12. Let h = 41 - 41. Put h, s, -3 in ascending order.\nAnswer: -3, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-495)\/(-72) + 1\/8. Suppose 0 = m*g - 11*g + 64. Let r(q) = q**3 + 4*q**2 - 4*q. What is the smallest common multiple of r(-4) and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 37457016 or 37457017?\nAnswer: 37457016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 113 - 113. Solve 4*x + x + 20 = l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -322 in -2, 33, 1\/15, -1, 2\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-18)*(-5)\/(75\/(-6))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -950.42539 from -0.1.\nAnswer: 950.32539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*t - t - 3*t)*(0*t + 0*t - t) + (0*t - 16 + 2*t + 7)*(36 - 36 - 13*t) in the form b*t + k*t**2 + v and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-36 - 104 - -141) + -1 + -18.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -285*m + 104 = -181 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -7*f**3 - 6*f**2 - 6. Let d(t) = 4*t**3 - 5*t**3 - t**2 + 0*t**3 - 162201 + 2*t**3 + 162200. Calculate 6*d(p) - s(p).\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 5*y + 24, -5*n + 3*y = -4*n - 13. Let l(v) = -v + 2 + n + 3. Let d(c) = -c + 5. Let w = -2 + 8. What is w*d(x) - 5*l(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.8737mg in tonnes?\nAnswer: 0.0000000128737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 - 4*o + 2. Let j be z(4). Calculate the common denominator of 2\/j - 404\/(-80) and -55\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 0.0947?\nAnswer: 5.0947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*z - 42 = -24*z. Let h(p) = 2*p + 5. Let u(s) = s. Let o(l) = z*u(l) + h(l). Let t(d) = 2 + 3 - 4. Calculate o(f) - 5*t(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 6, j: 1, d: 3, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122903 is divided by 523?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 418*o**2 + 1. Let b(l) = -13*l + 20. Let v(t) = -3*t + 5. Let k(d) = b(d) - 4*v(d). Determine m(k(f)).\nAnswer: 418*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(-2)*(w\/(w*w*w**5*w*w*w*w)*w*w)\/w*w*w*w*w*w\/(w*w**(4\/7))*w*w*(w**(3\/2)\/w)\/w*w assuming w is positive.\nAnswer: w**(-57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 729841 is divided by 243267.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 6*c + 2. Let f be b(6). Suppose 0 = 5*t - 7 + 2. Sort 0.1, f, t.\nAnswer: 0.1, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.2 - 5.8. Which is the nearest to -1?  (a) 0.5  (b) u  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2021210122 (base 3) in base 8?\nAnswer: -127775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-112)\/(22512\/4623) + (-1 - 21).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 63 + -93. Suppose -m - 2*i - 23 = 16, -141 = 4*m + 5*i. Do m and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -25*g**2 + 15*g. Let j(p) = -218*p**2 + 134*p. What is 6*j(r) - 52*x(r)?\nAnswer: -8*r**2 + 24*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s**3 - 144367*s - 3*s**2 - 5*s**3 + 288753*s - 144386*s + 3*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - q = 39, 5 = -16*q + 21*q. Find the second derivative of -t*s**5 + 369*s - 373*s - 77*s**5 wrt s.\nAnswer: -1740*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k + 2*k + k**2 + k + (730*k - 480*k + 2717*k)*(k + 2*k + k).\nAnswer: 11869*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/(r\/(r*r*r**(-1)\/r*r*r))*r)\/((r*r**(-4))\/r))\/(r*r**(2\/5)*r**(-6)) assuming r is positive.\nAnswer: r**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 18 + 1)*((r + 1 - 1)*(-4*r**2 - 7*r + 7*r) - 3*r**2 + 2*r**3 + 3*r**2).\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -977 or -967?\nAnswer: -967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + 2 + 1 + sqrt(425) + sqrt(425) + sqrt(425))**2 - ((sqrt(425) + -1)*6 - (sqrt(425) + 5 + (sqrt(425) + 1 - sqrt(425))))**2)*5.\nAnswer: -34715 + 2850*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2*v = -31, -4*s + s + 102 = 3*v. Suppose -35*b + s*b = -50. Let o(d) = 3*d**2 - 2. Let i be o(3). What is the highest common factor of i and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -46, -67, -106, -169, -262?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15132257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -5*d**3 - 8*d**2 - d + 4. Let k be n(6). Let i = k - -2463. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*(1 - (-8)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1364688, -1364689, -1364690, -1364691, -1364692, -1364693?\nAnswer: -1364694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 58\/6 + 8\/24. Suppose -2*n + m + 6 = n, -3*m = -5*n + h. Suppose 0*s + 4 = n*s. Solve 0 = -s*p + 2*w - w, 0 = 3*w + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 6) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2718  (b) 1\/2  (c) -2  (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 9:24 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1644522499*y + 1644522499*y - 409*y**3.\nAnswer: -409*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -211*a + 38*a - 51*a.\nAnswer: -224*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 251256799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-7)\/(-5) + -2)\/((-1)\/20). Suppose 27*u - q = 24*u. Solve -12 = y - u*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1\/2 = -1083622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*k - 5*k. Let n = -0.01 + 0. Let d = n + 0.01. What is the nearest to d in k, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 55, 450, 1563, 3766, 7431, 12930?\n\"Answer: 62*v**3 - 13*v**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-6\/5)\/a**(-2\/19)*a**(-4)\/a**1 assuming a is positive.\nAnswer: a**(-579\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvn when three letters picked without replacement from gggnvvgvggnv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -3*z + l, 42*l = -2*z + 37*l - 21 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 2*k - 10 = 0. Let u(g) = -g**3 - 11*g**2 - 9*g + 12. Let p be u(k). Let y(b) = -b**2 + b - 1. Determine y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*f**3*v - 178*f**3 + 5*f**2*v + 2*f*v - 126*f - 46 wrt f.\nAnswer: 84*f*v - 1068*f + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**3*a**(-8)*a**(3\/8)*a\/(a*a**(-4)) assuming a is positive.\nAnswer: a**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -1538*k + 454*k + 2919*k + 8578*k + 6087*k in the form g + h*k and give h.\nAnswer: 16500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qkzfwnqqzwznqfqnzqzq. What is prob of picking 1 k and 1 f?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 9:07 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 3, 5, -5, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n - 13*n + 195 = 0. Let a = -10 + n. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 556056.\nAnswer: 2, 3, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(119)\/sqrt(7))**2*-4 + 1 + sqrt(17) + 3) + -1.\nAnswer: -4*sqrt(17) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27 and 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 561774886 is divided by 628?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -422141 (base 5) to base 11\nAnswer: -a60a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 1:05 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-6593)\/1041)\/(((-2)\/(-42))\/((-30)\/(-560)*8))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 92082022 to the power of 1\/2, to the nearest integer?\nAnswer: 9596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 708 - 702. Sort -3\/2, -2, w, 5 in decreasing order.\nAnswer: w, 5, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3089\/11 - 281. Let d = 24 - 23. What is the nearest to d in c, 4, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2430688837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.34 - -0.06. Let z = -390.3 - -390. Put -1, z, t in decreasing order.\nAnswer: t, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -1\/470, 393?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 1)*(-6*o + 3*o + 2*o) - 2*o - 3*o + 6*o + 2*o - 2 + 2 + (0 + 0 - 2*o)*(-2 + 2 - 2) - 2*o + 0*o + 3*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**(-3)*n)*n**(-3)*n)**(2\/51)*(n\/(n*(n*n\/(n**1*n*n))\/n))**(1\/6)*n\/(n*n**3\/n)*n**(1\/4) assuming n is positive.\nAnswer: n**(-281\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**3 + 128820*h**2 - 257724*h - 3091824.\nAnswer: 3*(h - 6)*(h + 4)*(h + 42942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 1302674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -5202.\nAnswer: -520.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of -m**3\/3 - 5*m**2\/2 - m - 2. Let q be i(-3). Solve 4 = -3*d - q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/(-2))\/(21\/56). Suppose -2*g + f*g = 8. Suppose 75 = t + 2*x, 247 = 3*t - g*x + 12. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*j = 117 - 108 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of d**5\/30 - 697*d**2. Let q(j) = -671*j**2. Give q(a(c)).\nAnswer: -2684*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7, 13, 19, 25, 31?\n\"Answer: 6*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -4*u**4 + 5532*u**3 - 952624*u**2 - 732358032*u - 731399872 = 0.\nAnswer: -268, -1, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 2:34 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 164245 and 642?\nAnswer: 985470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 7:49 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28 - 19. Let a = -8.75 + k. Let r = a + -0.05. Is r bigger than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.453 + -115.953. Let a = 84 + q. Let w = 22 + a. What is w rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**9\/(s**(5\/7)*s))**36 assuming s is positive.\nAnswer: s**(1836\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20.65 + 20.394. Let g = -0.044 + c. Let a = g - 41.000034. What is a rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(32) - 2*sqrt(1152)) + -2).\nAnswer: 4 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 102*x + 611. Let m be s(-6). Which is greater: 1\/27586 or m?\nAnswer: 1\/27586","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3961807 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 1, 2, -4 in descending order.\nAnswer: 2, 1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 957601, 957600, 957599, 957598, 957597?\nAnswer: 957596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 59217982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6366 and 234.\nAnswer: 248274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 5*t + 101 = -252, 0 = f + 3*t - 84. Calculate the smallest common multiple of f and 24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**2 + 39*h - 149. Give i(-22).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202033 (base 4) to base 14.\nAnswer: -b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 120 a factor of 1484760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 - 5*b**2 + 7*b + 8. Suppose -1 - 5 = y. Let s be h(y). Suppose 5*d = s*z + 55, -d + 32 - 3 = -4*z. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3 - 66821*u**2 + 1115693315*u + 18986102537.\nAnswer: (u - 33419)**2*(u + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -30, -65, -134, -255, -446, -725, -1110, -1619?\n\"Answer: -3*k**3 + k**2 - 17*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.07  (b) -6  (c) -5  (d) 3  (e) -197  (f) -3  (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5909 = 181*w + 2289. Solve w*s - 26*s = 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 2*s**2\/15 - 271936*s\/15 + 326280 = 0.\nAnswer: 18, 135950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 b when three letters picked without replacement from ejengnbjbjyj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 18 - 50 = 0. Suppose 0 = 2*g + 5 - s. Let j(u) = -u**3 + 7*u**2 - 5*u. Calculate j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 13*i - 58 - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 43300 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/7 + 3)\/(1\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -853, -3414, -7681, -13654, -21333?\nAnswer: -30718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1804, -3612, -5408, -7186, -8940, -10664, -12352?\nAnswer: -13998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 31218 and 242.\nAnswer: 31218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-27) - 398\/(-9). Let b = j + -25. Suppose b = -5*w + 6*w. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 116 = -2*l. Let h(y) = -58*y + l*y + y**2. Let c(s) = s**2 + s + 1. Let p(a) = -6*a**2 - 7*a - 7. Let g(f) = 28*c(f) + 4*p(f). Determine h(g(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 120101010202 + 2?\nAnswer: 120101010204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -4*z + 3. Let d(r) = 13*r**2 + 3. Let f be d(z). Suppose q + f = 6*q. What is the highest common factor of 16 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 7*z = 12. Find k, given that 8*k + 44 - k**3 - 7*k**z - 40 - 4*k**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.103 - 43.103. Let n = 89892.95298 - 89849.95297931. Let u = n + y. What is u rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -103020 (base 4) to base 7\nAnswer: -3366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -254*l**2 - 335*l + 335*l + 263*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -62 - -70. Suppose 0 = 3*c + i - 20, z - 3*c - 11 = 0. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 7636*n + 0 - 3 + 6 + 5. Let a be h(22). What is a rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1159  (b) -198  (c) 0.05  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b**3 - 4. Let h(k) = -13*k**3 - 7*k**2 + 7*k - 2. Let f(u) = -4*u**3 - 2*u**2 + 2*u - 1. Let r(z) = 7*f(z) - 2*h(z). Give -3*p(c) + 4*r(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -p**5\/4 + 4499*p**4\/4 + 342687*p**3 + 33584404*p**2 + 1058764168*p - 2254625436 = 0?\nAnswer: -98, 2, 4791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 486 - 445. Let p(c) = 32*c - 77*c + s*c. Let w(n) = -n. Determine w(p(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/5)\/(6\/160). Calculate the greatest common factor of 7488 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-20)\/8)\/(-5)*10. Solve 4*w + 3*b + 11 = 0, 0 = -k*w - 4*b - 3 - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-one halves of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 175100 divided by -1751?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 4. Let r = -4 - d. Let h = -5.7 - -6. What is the nearest to 2\/7 in -2\/7, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -3*y - 4. Let s = 5.0115 - 2.0115. Sort 70, s, y in increasing order.\nAnswer: y, s, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1579254, 3158885, 4738512, 6318135?\n\"Answer: -2*n**2 + 1579637*n - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2 - 1188564*w - 117723698508.\nAnswer: -3*(w + 198094)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4 and -0.5.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16747 - 16742. Suppose -3*a + 0*a = -27. Solve -b*g - 1 - a = -5*z, 2*z = g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 + 13*b + 20. Let i be g(-5). Let z be (-45)\/(-13) - (i - -23). What is the second smallest value in -1\/5, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 - -0.2. Let z = -0.49 - 0.01. What is the nearest to m in -1, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffhm when four letters picked without replacement from mfhhmmfm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -2. Let h(w) = 6*w - 19. Let p be h(4). Suppose 16 = -3*m + 7*m - p*n, -n - 4 = -m. Which is the smallest value?  (a) 0.1  (b) k  (c) m  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/4*3\/2. Let y = 0.43 + -0.73. Which is the nearest to -2\/7?  (a) y  (b) -6  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -14.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -125869934*f**5 - 14*f**2 - 151*f + 23034 wrt f.\nAnswer: -7552196040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 + 10*f**2 - f - 6. Let u be p(-10). Suppose -n + 65 = u*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 286308 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-9)\/15)\/((-1)\/5). Let b be 10\/(-4)*(-24)\/(-20). Let y = -321 - -311. Put -4, b, s, y in ascending order.\nAnswer: y, -4, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 606 and 774.\nAnswer: 469044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/543384 and 85\/4?\nAnswer: 543384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*l + 903 - 2311. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -0.1, 5\/3, -5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-8) + (-568)\/(-64). Suppose -a*f = -684 - 549. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2200 = -23*s - 1441. Solve s*g - 41*g + 32 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m - 5*p + 353 = -3*m, 4*m = 2*p + 462. Let n = -150885 - -150884. Is n greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvgg when four letters picked without replacement from {l: 2, v: 12, g: 3}.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -108, -219, -402, -657, -984, -1383?\nAnswer: -1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 3:20 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1010 + -1112?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 6*v - 80. Let t be n(16). Suppose 0 = -5*j + t - 36. Let h(s) = 3*s - 6*s + 2*s**2 - 4 + s**2 + s**3. Calculate h(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 0  (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 101110111 (base 2) in base 3?\nAnswer: 111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -102469910 rounded to the nearest one million?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -1962390217\nAnswer: -1962390221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n**2 + 16*n + 11. Let w(c) = -2*c**2 + 13*c + 10. Let g(h) = -4*f(h) + 5*w(h). Determine g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172.2875065 rounded to 1 dp?\nAnswer: 172.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1790845.68 rounded to the nearest 10000?\nAnswer: 1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 18, -3, 3\/5, 0.1 in decreasing order.\nAnswer: 18, 4, 3\/5, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.07804 * 12\nAnswer: -0.93648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p + 74. Calculate s(-25).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {v: 2, k: 7, a: 3}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -343b (base 12) to base 4\nAnswer: -1122233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*m**4\/5 - 204*m**3\/5 + 1176*m**2\/5 + 352*m\/5 = 0.\nAnswer: -11, -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 3*a + 301, -a - 121 = 2*f - 4*f. Let k = 104 - f. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {f: 2, n: 1, c: 1, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 5. Suppose 2*b - q = 15. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 29.35?\nAnswer: 29.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 108285, 217274, 326263, 435252, 544241, 653230?\n\"Answer: 108989*q - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1674 and 18432?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in 0.5, 0.3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6 - -8) + ((-42)\/9)\/2. Sort s, -0.08, -3\/4 in decreasing order.\nAnswer: -0.08, s, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - 19. Let t = 16 + y. Which is the nearest to t?  (a) -0.3  (b) 0.1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 894 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1880 and 128290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 7*z. Let a(r) = 3*r. Suppose 5*h - 2*h - 12 = 0. Suppose 3*o + h = -5. Give o*k(i) + 6*a(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/3, 1.2, -4.6?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p + 6. Let b be z(5). Suppose -5*n + 5*r - 10 = 0, 0 = -3*n + 4*r - 2*r - 3. Let h = n + b. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -8*c**2 - 3*c + 6. Let v(k) = k + 280 + k**2 + 354 - 635. Let n(i) = -i - 1. Let p be n(0). Calculate p*l(t) - 6*v(t).\nAnswer: 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-13)*(-3)\/(-4)*(-284)\/(-213)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, 0.37, -232.5 in descending order.\nAnswer: 0.37, 2\/17, -232.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-4)*12\/(-9). Factor z**f + 3 + 3*z**2 - 2*z - z - 7*z**2 + 3*z**3.\nAnswer: 3*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/25 and -31\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 148162.3178 - 148325.31781898. Let w = -163 - p. What is w rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 10*o + 7. Let r be q(9). Let d = -4\/613 - -1867\/4291. Sort -3, d, r.\nAnswer: -3, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 193682 and 140548?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(5*(sqrt(68) + (sqrt(68) - sqrt(68)*-1 - sqrt(68)) + sqrt(68))*5)\/((sqrt(4) + sqrt(100))*-1*-6)*-3.\nAnswer: 125*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 50360001 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 4*o**2. Let h(f) be the third derivative of 0*f + 3\/4*f**4 + 0 - 32*f**2 + 0*f**3. Determine u(h(s)).\nAnswer: 1296*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -412 + -35650?\nAnswer: -36362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, t: 1, c: 1, p: 1, d: 2, q: 1}. What is prob of picking 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - a = 4. Let d be (a\/3)\/((-4)\/24). Let v be 6*(2 - 10\/d). Sort v, 1, 3 in increasing order.\nAnswer: v, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55028019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.89 - 0.49. Which is the nearest to 5?  (a) n  (b) 2\/3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/5  (b) 5\/4  (c) 0.02  (d) 5  (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 30110 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10031987 to the nearest integer?\nAnswer: 3167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25980 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*l - 36 = 3*w - 10*l, w - 4 = l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of -b**4\/6 - b**3\/2 + 3*b**2\/2 + 22*b + 2. Let i be p(0). Solve 6*y = 5*y + 2, i*y - 12 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 0*f = -3, 2 = -j + f. Which is the third smallest value?  (a) j  (b) -2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 628.971 to 0 dps.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 16) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (7*6\/126)\/(64\/1728)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 2:12 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10.8 - 10.8. Let p = 93 - 375\/4. What is the third biggest value in -0.4, 4, p, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 56*u - 15. What is the hundreds digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -266*k**3 - 103*k + 3. Let a(f) = -264*f**3 - 101*f + 4. Let t(g) = 2*a(g) - 3*o(g). What is the second derivative of t(i) wrt i?\nAnswer: 1620*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -5  (c) 366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -2, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -38.77 - -38. Let r = -0.8 - s. Let x = 2.97 - r. Put 2\/17, -5, x in decreasing order.\nAnswer: x, 2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 10*l - 7*l. Suppose l*n - 8*n + 216 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 222 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.112 - 5.012. Let l = 15 - 14.1. Let v = l + q. Sort v, -0.3, 3.\nAnswer: v, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 7:24 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -1\/3  (b) 2\/5  (c) -1784  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17665 = 24*o - 31559. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110.3 * -18\nAnswer: 1985.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 5*x + 23 = 6*x, 0 = -3*s + 5*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 70\/56 + 1\/(-4)*-75. Let r be (-4)\/w + ((-7356)\/20 - -2). What is r rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -348885623 + 2.1.\nAnswer: -348885620.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 9764, -34, -70 in ascending order.\nAnswer: -70, -34, 9764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -18\/55 and -10\/3?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, -2235, -0.1, 0.5021 in descending order.\nAnswer: 0.5021, -0.1, -3\/4, -2235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/14 and (-6)\/14 + (-131)\/(-126).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.1 - 0.1. Let h = -43 - -31. Let i = h - -10. What is the biggest value in i, a, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-3) + 192\/(-28) + 3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/3246 and 5\/366?\nAnswer: 198006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - -3808431?\nAnswer: 380842a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4593?\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10100 (base 2) to base 4.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 35096273161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7864451km in nanometers?\nAnswer: 786445100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**5*l**20)\/(l**(1\/29))**(-45) assuming l is positive.\nAnswer: l**(799\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 200 + 103?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + 19*v - 0 + 21. Put -3, -39, 1\/4, v, 5 in decreasing order.\nAnswer: 5, 1\/4, v, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 551.4384s to nanoseconds.\nAnswer: 551438400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 1426810 = -641040. Let a = -203921 + y. Suppose -3*k + 1032309 = -2*d - 1457683, -k = d - a. Round k to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4856754.\nAnswer: 2, 3, 7, 115637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(1008) + sqrt(1008)*2 + 4)**2 + (sqrt(1008)*-1)**2*1)*-1*5.\nAnswer: 2880*sqrt(7) + 100960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 12 = -4*r. Suppose 0 = 4*f + f - 25. Suppose 0 = -4*z - 8, 7*j + f*z = 3*j - 2. Solve -r*q + 6 = -j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 41, 81, 121, 161, 201, 241?\n\"Answer: 40*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 2, -2\/5, -4\/5, 5.5 in descending order.\nAnswer: 5.5, 2, 2\/3, -2\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6532930 or -6532927?\nAnswer: -6532927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 557 and 897358192?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of n**4\/4 + 13*n**3\/6 + 5*n**2\/2 - 58*n. Let d be h(-6). Solve v + d - 5 = 5*b, 5*v + 2*b + 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 181 a factor of 1946239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 18*h - 56. Let v(g) = 2*g + 1. Give v(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of -5*z**4\/6 + z**3\/6 - 90*z**2. Calculate j(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3*z - 14 = 0, 0*z = -p - 2*z + 14. Suppose 0*j + p = j. What is the remainder when 26 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3407 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 equal to -567\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a factor of 12096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 4*a**2 - 5*a + 12. Suppose -3*z = -m + 36, -4*m = -2*z + 4*z + 10. What is the hundreds digit of p(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -188.7 + 189. Put -1, 6, f, -2 in descending order.\nAnswer: 6, f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -803691*l + 803687*l + 5*w = -13, 3*l - 2*w + 7*w - 36 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j + 2*j**2 - 2*j + (j + 0*j + 0*j)*(-2*j + 1 - 1) + j**2 - 2*j**2 + 2*j**2 - 1 + 2*j**2 + 1 + 3 - 14*j**2 + 7 - 13.\nAnswer: -11*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 8 = 0, -5*n + 19 = -5*q - 1. Solve 4*u + 2 = n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -439*b**3 + 8 - 962*b + 3*b**2 + 962*b - 18.\nAnswer: -439*b**3 + 3*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 11*o**2. Let l(s) = 4*s - 4*s**2 - 4*s + 23*s**2 - 6*s**2. Give l(r(f)).\nAnswer: 1573*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 197.49 - 196. Let a = 0.99 - q. What is the second smallest value in a, -2, 4, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13012110303 (base 4) to base 10.\nAnswer: -1860915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - t - 10 = 0. Suppose 0 = 4*q - q - 12. Suppose 8 + 12 = -q*v. Sort 3, v, t.\nAnswer: v, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 590614 is divided by 599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s. Let r be x(0). Suppose r = -2*w + 35 - 7. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 + 4*g + 1. Suppose -11*q = -34 + 12. Suppose -q*s + k = -1, 2*k = 3*s - 3*k + 16. Calculate c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 8*u - 15. Let n = -14 + 10. Suppose -2 + 14 = -4*a. Sort u, a, n.\nAnswer: n, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 20 = -5*z, 0 = -4*z + 3*q + 3 + 10. Let a = 38 - 14. List the prime factors of z*-3 - (-308)\/(a\/6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-9)\/(-6)*-17)\/(228\/(-1216)). Solve 130*i = t*i - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1976 - 142*g + 178*g - 43*g.\nAnswer: -7*g - 1976","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 53443555591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*j = -495*j + 994666. What is the remainder when j is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -229*k + 42 + 32*k + 114*k to the form w + p*k and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of 7\/2*x**2 - 13\/10*x**5 - 1\/3*x**3 - 47*x + 0*x**4 + 0 + 1\/15*x**6. What is the second derivative of d(c) wrt c?\nAnswer: 24*c**2 - 156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -5*d + 9. Let v(r) = r - 2. Let k(n) = -2*a(n) - 9*v(n). Let h(y) = -15*y**2 + 12*y. Let c(w) = w**2 - w. Let l(m) = 36*c(m) + 3*h(m). Give k(l(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/4770 and 91\/855.\nAnswer: 90630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 - 3)*(1 + 2 - 5)*(-k + k + 2*k + 2)*(-k - 2*k - k)*(2 + 0 + 0).\nAnswer: 64*k**2 + 64*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) 1  (c) 0  (d) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 172 = 5*b, -b + 97 = -5*t + 81. What is the greatest common divisor of b and 3252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 95 = 7*y - 5*y, -4*i - 115 = -3*y. Calculate the greatest common divisor of y and 2460.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 203, -1615, -6731, -16795, -33457, -58367, -93175, -139531?\n\"Answer: -275*n**3 + n**2 + 104*n + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 (base 11) in base 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -125355, -124923, -124491, -124059?\n\"Answer: 432*s - 125787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 630507?\nAnswer: 3, 210169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + k - 4*k)*(-2*k + 7*k - 6*k) - 6 + 6 + 2*k**2 - 4*k**2 + 0*k**2 + k**2 + (-3*k + 3*k - 2*k)*(-1 - 3*k + 1) - 3*k**2 + 3*k**2 + k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 36, 2\/7.\nAnswer: 2\/7, 2\/5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -0.015\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + (4 - (2 - -1)). Suppose 2*v = -y, -y + z + 3 = -4*v. Let l = -522\/31 + 4915\/279. Is y less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/2)*l**(-8))**(-3\/8) assuming l is positive.\nAnswer: l**(51\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {f: 2, o: 2, g: 8, w: 3}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 0.1. Which is the nearest to h?  (a) 1\/5  (b) -1  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + -32 + 17 + 21 - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 - 2*o**2 + 0*o**2)*(0*o + o + o) + (-37*o**2 + 93*o**2 + 16*o**2)*(10*o + 13*o + 30*o).\nAnswer: 3814*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 982, -1 in descending order.\nAnswer: 982, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15976349?\nAnswer: 43, 71, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 550 = 3*j + 8*j. What is the highest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 7 = -2*b. Let x be (78\/4)\/(b*(-5)\/(-20)). Let p = 73 + x. What is the highest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f + 1. Let z(v) = 6*v + 26. Let d be (-1)\/6 - (-1 - (-70)\/12). Let g be z(d). Determine t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 PM and 6:30 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, p: 3, l: 7, a: 2, r: 1}. What is prob of picking 1 a and 3 p?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 95760177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*b - 2*b - 29 = 0, 16 = 4*b. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + v + 0*v = r - 67, 14*r + 190 = 11*v - 6*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*w**2 + 8*w**2 + 5*w**2 - 3*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 16)*(-27 + 27 - 11*l) + 5*l - 4*l - 3*l + (2*l + 0*l + 0*l)*(2 - 1 - 2).\nAnswer: -114*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12556?\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1143 is divided by 132?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.66681 weeks?\nAnswer: 403286688000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 47704085*a. Let u(n) = -n. Determine u(b(z)).\nAnswer: -47704085*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 53 = 28. What is the remainder when o is divided by (0\/3 + -1)*-15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v - 6. Let m(o) be the second derivative of o**4\/4 + 495*o - 3. Determine m(c(q)).\nAnswer: 3*q**2 + 36*q + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*p + 0*p + 6039 = 0. Solve -900 + p*f - 4*f**2 + 273*f - 576*f = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 15226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 + -0.6. Let g = 0.1 + o. Do g and 4\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (h - 2*h - h)*(7*h - 7*h - 3*h**3) + h**4 + h**4 - 3*h**4 to the form d*h**3 + q*h**4 + f*h**2 + u*h + i and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9c8 (base 15) to base 11.\nAnswer: -1732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0143 + 85.9857. Let b = 85.7 - c. Let o = -0.07 - -1.07. What is the third smallest value in o, b, 4, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(1\/8)*z)\/((z**(5\/4)*z)\/z)*z*((z**(-2\/11)\/z)\/z)\/z*z**(-2\/9)*z)**(-2\/35))**1 assuming z is positive.\nAnswer: z**(173\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20355*a**4 + 24501*a**2 + a wrt a.\nAnswer: 488520*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + z - 4 = 0, z - 12 = -2*z. Does c = 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -6*y. Solve f - 4*g - 20 = y, -3*f + 9 = -3*g - 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -4173, 39 in increasing order.\nAnswer: -4173, 1, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -6*v**3 + v**2 - 3. Let c(r) be the second derivative of 7*r**5\/20 + r**2 - 142*r + 2. Calculate 3*c(p) + 2*z(p).\nAnswer: 9*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 7:49 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 86 = 9*a - a - 4*i, 11*a = 2*i - 98 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23 + (58 - 18) - 8) + (5 - 5 - 22).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*z = -4340 + 24800. What is the smallest common multiple of z and 93?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c + 0*c - 5 + 10 + 6*c - 8*c. Calculate t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23 - 19. Suppose -u*m + 306 = 42. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*h - 65 = 132*h + 5*x, -2*h + 17 = -3*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2. Let v(w) = w**2 - 8372565*w + 2. Calculate v(b(k)).\nAnswer: 4*k**4 - 16745130*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - (-368)\/(-20)) + 3\/(-5). Let m(q) = q**3 + 20*q**2 + 21*q + 23. Is m(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 73883001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 53\/6890*52*145?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 6*i**2 - 4*i. Let m be j(5). Suppose 13 = m*p + 253. Let n = -25 - p. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22 - -45. Suppose -3*i = -2*y - c, -7 - 7 = -2*i + y. Solve 5*v + 0 = i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10*-1*108\/(-54)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17938656.\nAnswer: 2, 3, 199, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, 5, -26 in ascending order.\nAnswer: -26, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 1113*w**3 + 1107*w**3 - 2221*w**3. Let y be (0\/(-1) - 38) + -2. Let t(b) = 12*b**3. Give y*v(c) - 4*t(c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 7. Suppose -z + 1 = -f. Let g(r) = r**3 - r**2 - 1. Calculate g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 147 (base 8) to base 3.\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10354 + 10353. Let k = 0.1 + -0.1. Sort 1, k, u, 2.\nAnswer: u, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18703544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -10, -5, 10, 41, 94, 175?\n\"Answer: z**3 - z**2 + z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 567 and 3131163?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2*u = 6. Let l be (-380)\/(-25) + u\/(-10). Suppose -l + 3 = -3*n. Solve -n = -0*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 3. Let k(w) = -w - 1. Let d(p) = -4*p + 3. Let r(o) = d(o) - 3*k(o). Let n be (-9)\/6 - (8\/16*-23 + 8). What is n*r(u) - 5*q(u)?\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 667784661 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 + 37. Let f = 11 + 8. Let o = f + -8. Calculate the greatest common divisor of v and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 528 = 32. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 65 + -61. Suppose 0 = -3*t - 5*c - 20, 8 - 28 = -x*t + 5*c. Which is smaller: t or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8687757?\nAnswer: 3, 13, 331, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -103 - -468. Suppose 64*d = 63*d + w. Round d to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 237*g = -4220 - 283 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1085, -2281, -3475, -4667, -5857, -7045?\nAnswer: -8231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -2\/239393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3799, 0.1, 3.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d + 4. Let s(p) = 9*p**2 + 3*p**2 - 16*p**2. Calculate r(s(i)).\nAnswer: -4*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.8, 918, 2\/35, -2\/15?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -163 > -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2036609481 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 126\/(-4) - (-17 + (-187)\/(-11) + 39)\/(-3).\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -284*t**5 + 7497*t**2 - 7458645*t?\nAnswer: -5680*t**3 + 14994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -2 + ((sqrt(2057) + (2*(sqrt(2057) + -1) - sqrt(2057)))*-5 - (2 + -3*(sqrt(2057) + 0))).\nAnswer: -77*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1890 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -19856, -19617, -19450, -19391, -19476?\n\"Answer: -6*u**3 + 281*u - 20131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(325) - (0 + sqrt(325) + 1*sqrt(325)))**2 + ((1*sqrt(325) + sqrt(325))*6)**2).\nAnswer: -47125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3253 (base 6) to base 15\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*y - 19 + 67 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.02612 + -0.47388. Let y = 343\/6 - 57. Let j = 0.6 - -2.4. Which is the second biggest value?  (a) r  (b) j  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -12*j**3 - j + 1. Let w be u(1). Let o(q) = -28 - 12*q + 16*q**2 + 3*q + 0*q + 43. Is o(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s**3 + s - 2. Suppose 4*j = 5*u - 21, -112*u = -115*u - j - 1. Give q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7210 times 0.019\nAnswer: 136.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12 + -3545?\nAnswer: -3557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -0*m - 5*m. Let n = 7 - m. What is the highest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 2*n - 16. Let w be (8\/(-5))\/(n\/10). Let i = 1 + 0. Sort -3, w, i.\nAnswer: w, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2\/3, 0.6 in decreasing order.\nAnswer: 2\/3, 0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8100)\/(-1215) + (-2)\/(-3) + 12\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2001, 4000, 5999?\nAnswer: 7998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -123.48 plus -0.1?\nAnswer: -123.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of h**8\/216 + 26*h**7\/945 - 29*h**6\/540 - 4*h**5\/9 + h**4\/3 + 2*h**2 + 1377*h. Suppose q(x) = 0. Calculate x.\nAnswer: -3, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -206*z**2 + 7*z**2 - 191*z**2.\nAnswer: -390*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/34 + 342\/(-2584). Let h be (-4)\/45*3\/2. Which is the third biggest value?  (a) -4\/7  (b) v  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29b6430 (base 13) to base 2.\nAnswer: 110010110100110000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-4)*3)\/3. Suppose 6 = 5*t + 11. What is the second biggest value in c, t, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 4*s - 51 = 0, s = 3 - 2. Let n = -34 + 41. Calculate the remainder when o is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((5\/2)\/(-5))\/((-73)\/563706) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38500172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1167440062 to the power of 1\/3, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 47 - 2. Let u be 1\/2 + d\/10. Suppose 150 = 3*a - 2*p, 2*a - 2*p - 2*p - 100 = 0. Calculate the greatest common factor of u and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, -5, 15, 3, 4250 in descending order.\nAnswer: 4250, 15, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 + 28. Suppose n - w = -0*n. Is (-1 - n)\/((-20)\/50) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-14) + 478\/42 + (-38)\/57. Let x be (1 - -1) + 1 + 4. Suppose 2*t + r = 21, -t - 2*r - 2*r = x. Is t >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1751523327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-19))\/(44\/(-8)*(-2)\/(-462)*21).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yeezezznennyynzmen. What is prob of picking 2 z?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**(-2\/3)\/c)\/(c**5*c))\/(c\/c**0)**(-2\/9))**(-3\/23) assuming c is positive.\nAnswer: c**(58\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*g**3 + g**2 - 2*g**2 - 40*g**3.\nAnswer: -51*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/7  (b) 9  (c) 8  (d) -1\/7  (e) -2\/279  (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 285026231.\nAnswer: 7, 43, 946931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10640)\/(-950))\/((1\/((-12)\/8))\/(5*1))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (69565*n + 11569*n**2 - 139124*n + 69559*n)*(2*n + n - n) as f*n**2 + l*n + d + z*n**3 and give z.\nAnswer: 23138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away 12700.83?\nAnswer: -12701.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(840\/(-32)))\/(4\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -2*x + 255 - 245, z - 718*x + 219 = 3804 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*y + 2. Let d be (-3)\/y + (-75)\/(-10). Solve -d + 2 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3*i**2 - 3 + (-2 + 2 - 2)*(i - i + 2*i**2) - 2*i**2 + 2*i**2 + 2*i**2 - 271*i**2 + 528*i**2 - 46*i - 268*i**2.\nAnswer: -16*i**2 - 46*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 2. Let u(k) = 23*k**3 + k**2. Let l be u(1). Suppose 5*w + l = -w. Sort 2, w, j in increasing order.\nAnswer: w, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**2 - 29513*a**3 + 1058*a**3 - a**2 - 11794*a**3.\nAnswer: -40249*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 3*b**2 + b + 0*b**2 - 2*b**2 + 6 + b**3 + 0. Let n be w(0). Suppose 3*x = 6*x + a - n, a = 5*x - 10. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1538830 = 3745*m - 24540*m for m.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -750 - -755. Suppose -2201 - 2344 = -4*j - f*l, 2286 = 2*j - 2*l. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - 971b4d7?\nAnswer: -971b4d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 + 5*j**2 + j - 4. Let k be 2\/(-18) + (-222)\/(-54). What is the least common multiple of u(k) and 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.316 + -0.08. Let o = f + 2.63. Round o to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1446384 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -376*x + 126*x = -821500. What are the prime factors of x?\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 260\/160 - (-2 + 2 + 2). Let p = -0.4 - -10.8. Let f = p + -10. Which is the closest to -2\/5?  (a) f  (b) o  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10001 (base 2) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -347.\nAnswer: -2\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*b - 16*b. Suppose b = -t - 5 + 25. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/837963 and 73\/609.\nAnswer: 24300927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y - 1. Let j be c(-4). Let t be 2*(18\/4)\/j. Solve -3*s = -t*h - 9, 4*s + 4*h - 9 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 10305680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 (base 6) in base 4?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 334\/(-5) + (-20)\/100. Let n = t - -552. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 218357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -437 - -436.9999779. Round a to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 7*y. Let b(p) = -p + 12. Let l be b(7). Suppose -5*z - 4*k = -13, -3*z + 2*k - l*k = -6. Let i(w) = -6*w + z*w - 2*w. What is i(j(s))?\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {d: 3, u: 1, s: 6, f: 5, h: 1, o: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -480 + 484. Let x(t) be the third derivative of -2*t**3 - t**2 + 0 - 1\/24*t**b + 0*t. Give x(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4456 + 8958. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tcj when three letters picked without replacement from jbjbjhbbjtcbbcbtc?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1904)\/680)\/(2\/(-5)). Solve 3 = 2*p - u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 52 + -50. Let d(v) = v**3 + 19*v**2 - 21*v - 16. Let n be d(-20). Suppose -n*j + 8 = -6*j. Put 4, f, j in ascending order.\nAnswer: j, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 59 + -1. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4374 divided by 18.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -2*g - 13442, 3*g = -0*g - 3. Suppose 3*m - v = -13*m. What are the prime factors of m?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-290 - -313) + (-21 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52452507.\nAnswer: 3, 17484169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m, 1 q, and 1 s when four letters picked without replacement from {s: 5, m: 6, k: 1, j: 1, q: 2, y: 5}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 3*f = 19, -2*f - 4 + 20 = 5*g. Let l be g\/((-2)\/5) - -3. Let p = 1.4 - 0.4. Which is the nearest to 2?  (a) l  (b) 0.4  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7206 = 6918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 11:43 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 324 - 1\/4*x**4 + 36*x - 9*x**3 - 80*x**2.\nAnswer: -(x - 2)*(x + 2)*(x + 18)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -28, 13*c + 1637649 = 18*c - 2*h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 + 8*c**2 - 3*c - 4. Let b be (0 - (-2)\/4)*6. What is the remainder when q(b) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 10*p + 6*p - 4*p - 1 + 6*p + 6*p**2. What is the hundreds digit of m(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3390?\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 5*b**2 + 7*b + b - 17*b**3 - 3*b - 13. Let j(x) = -8*x**3 + 3*x**2 + 3*x - 7. Let g(s) = -3*f(s) + 5*j(s). Differentiate g(h) with respect to h.\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y - 4. Let j(o) = o + 1. Let f(k) be the third derivative of k**4\/4 + k**3\/6 - 10*k**2. Let u(m) = -f(m) + 4*j(m). Determine -2*a(n) - 3*u(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 463956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -41 in 3\/2, -2\/7, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21221210202021 (base 3) to base 7.\nAnswer: -50636404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/3*b**2 + 0*b + 2\/9*b**3.\nAnswer: 2*b**2*(b - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*g = -39*g + 12. Suppose 3*q - 44 = n - 121, 101 = -g*q + n. Put q, -3, 0 in descending order.\nAnswer: 0, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-185)\/222*4\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23203528, -46407047, -69610566, -92814085?\nAnswer: -116017604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + -1 + (-4)\/(-2) + 0. Solve -2*a + 4 = -t, k + 9 = -2*t + 5*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22*l + 116341 - 116781 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y**3 + 2*y**2 + 3 + 5*y - 3*y + 2*y**3. Let v be i(-3). Suppose -4*w + v = -w. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 814334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1610 and 84042.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7690019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*(-6)\/(-27)*-3 - 34. Let n be -2 + y\/(-8) + -2. Let u = -0.31 + 0.01. What is the closest to n in u, -3\/2, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325741435 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(13\/((-455)\/28))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 300*r + 130 = 980*r - 12790 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.038 - 0.038. Let o = 0.9316 + 1.06844. Let j = b - o. What is j rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57040.\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 6155 = -2*b - r, -2*r = -4*b + 4938. List the prime factors of b.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 0. Let k = -5.608 + 3.608. Which is the nearest to -0.1?  (a) k  (b) s  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -90*t - 150*t - 284*t + 30392 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6174 - 33?\nAnswer: 6141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (168\/(-49) - -3) + 2187\/7 is divided by 106.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hph when three letters picked without replacement from pppppppphhppppp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: (17 - (-4 + 1)) + -53\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(700) + 0 + sqrt(700)).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5\/3, -1\/2, -2, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 6:48 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 12220 (base 3) to base 11\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -99, -86, -75, -66, -59, -54, -51?\n\"Answer: -h**2 + 16*h - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -15*i + 117. Calculate the remainder when 34 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 4*d = -2*l - 18, 3*d = -4*l - 41. Let w = -9 - l. Factor -3*g**w + 2*g**4 + g**3 + 0*g**4 - g + g**4.\nAnswer: g*(g - 1)*(g + 1)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 + 2*d**2 + 6*d - 7. Let r be t(3). Suppose -m + 0*w = r*w - 27, -2*w = 0. Calculate the highest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from envvvnvvnvunnvnwnnew. What is prob of sequence nw?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 i when three letters picked without replacement from vivay.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(((-1771)\/42)\/(-23))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -z**6\/40 - 7*z**5\/60 - z**4\/8 + 4*z**3\/3 - 5*z**2 - 11. Let p(m) be the second derivative of w(m). Is p(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 2\/3  (c) -2  (d) -8.2  (e) 1  (f) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -31516192 divided by -31516192?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 756962 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - (6 - (-6 + 13)). Let f be 6*(84\/(-18) + j). Which is bigger: f or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30231003 (base 4) in base 10?\nAnswer: 52035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2348 = -960*z + 112748 for z.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60 + -106. Calculate the common denominator of g and 1\/(-1) - 7\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h - 3*h - 2*h**3 + 3*h)*(-5 - 4 - 8).\nAnswer: 34*h**3 - 34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -11*a**2. Let g(i) = 2*i + 3 - 3 - 7*i. Determine g(c(r)).\nAnswer: 55*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 (base 16) in base 2?\nAnswer: 1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(1*5\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 2. Let u be t(-2). Let q(z) = -z**3 - 4*z**2 + 6*z + 5. Let x be q(-5). Let l be x + 2 + -1 + 0. Sort -2, l, u in descending order.\nAnswer: u, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.05 times 1?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7012 + -6181.8. Let i = 407 - z. What is i rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-45)\/(-3))*322\/966?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/((-25)\/(-40)))\/(6\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7110\/315 + 0 + (-12)\/21.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-9832)\/(-40)*(18\/2 - 4).\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3731 times 0.00682\nAnswer: -0.002544542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 10586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 106\/103845 and -97\/742.\nAnswer: 11007570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 12  (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from hhrrhrjhgbbrhgghj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 2470504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = n - 114, 4*n = -2*m + m + 444. Let i be (-1603)\/(-14) + 2*-1. Let v = i - n. What is the common denominator of -22\/5 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*n + 15 = 154*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + c - 31, 3*n + 0 = 4*c + 26. Let y(s) = 2*s**2 + 25*s + 16. Let h be y(-12). What is the highest common factor of n and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133 + 35*q - 133 + q**3 + 56*q.\nAnswer: q**3 + 91*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -44111?\nAnswer: 44104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -13*v**2 + 15*v + 144. Let j(b) = -24*b**2 + 37*b**2 - 10*b**2. Let k(f) = 4*j(f) + q(f). Differentiate k(h) wrt h.\nAnswer: -2*h + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12 and -2880337?\nAnswer: 34564044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (35\/(-21))\/1*-150. Let h = i - 9. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that j**3 - 4299*j**2 + 1239642*j + 2496488 = 0.\nAnswer: -2, 313, 3988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 71994 (base 12) to base 7\nAnswer: 1155220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**3 - 2*x**2 - x - 3. Let q be u(3). Let s be (q\/(-5) + 6)*(-3)\/9. Solve -3*y + 5*i = s, y = 4*i - 2 - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (4 + -2 - 9 - 0 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-20) - (-104)\/5. Suppose -4*f - 2*k = -31 - y, 0 = -2*k - 8. Suppose s + q - f = 0, 4*s + 2*q - 66 = -0*q. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, j: 10}. Give prob of sequence wj.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -6. Let v = a - 1. Which is smaller: 1\/4 or v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 160, 80, -148, -602, -1360, -2500, -4100, -6238?\n\"Answer: -13*b**3 + 4*b**2 - b + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.112236404 to two dps.\nAnswer: -2.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*(z\/z**(2\/5))\/z*z\/z**1*(z\/(z*(z*((z\/(z*z\/z**(9\/5)))\/z)\/z)\/z))\/z**(2\/5) assuming z is positive.\nAnswer: z**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 20*u - 4. Let v(k) = -k + 6. Let b(j) = 8*j + 9. Let d be b(-2). Calculate the remainder when m(2) is divided by v(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (13160\/3948)\/(65\/1482)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110220120 + -202100?\nAnswer: -111122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001788066933 to 7 dps.\nAnswer: -0.0000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6 - (1 + 0 + -1). Let b = 14 - k. Suppose 0*g + 2013 = 134*g - 6563. Calculate the highest common factor of b and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-2 - (5 + -4))) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 328 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89880.\nAnswer: 2, 3, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 0, 3, 18, 51, 108?\n\"Answer: y**3 - 4*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*t + 50*t = -y + 81409, -81413 = -y - 5*t. What are the prime factors of y?\nAnswer: 7, 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -4*o - 21, -5*o - g - 15 = 3*g. Let t be o\/3*69*-1. Let a = 21 + t. What is the nearest to 1 in a, -3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1504 - 2356?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*h**3 - 26*h**3 + 15*h**3 + h**2 - 13 + 2*h - 3 in the form r*h**3 + x*h + i*h**2 + d and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*o**2 - 85*o**3 - 11*o**2 + 80*o**3 + 11 - 3*o + 28*o**2 to the form h*o**2 + s + r*o**3 + d*o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 0. Let p(m) = m**3 - m**2 + m - 8. What is the remainder when p(3) is divided by g\/(-4)*14\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n = -6*n + 78 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 31 + 2 = -4*a, 2*m + 28 = -9*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -2, -4\/35, 4, -4, -1\/58, 1.21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/5 - 13924*n**2\/5 + 83571*n\/5 - 25074.\nAnswer: -(n - 3)**2*(n + 13930)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -91*z + 20. Is u(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + c + 118 = 123, 3 = -5*l - c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -r**6\/1800 - 4*r**5\/75 - 2*r**3 + 19*r**2\/2 - 279. Let o(g) be the third derivative of b(g). Suppose o(q) = 0. Calculate q.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -5*t + 60, 7*f = 3*t + 4*f - 60. Solve 3*p = -t + 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -0.3, -1\/14, 11, 4 in decreasing order.\nAnswer: 11, 4, -1\/14, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, c: 5, u: 4}. What is prob of picking 3 u and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + 42*p**2 - 426*p - 521. Give s(24).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 24, 8, 155, 2, 1 in ascending order.\nAnswer: 1, 2, 5, 8, 24, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 10:28 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-2) + (6 - 5). Suppose -5 = -x*a + 11. Solve 2*s + y = s + a, 0 = 2*s - 5*y + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of j**6\/5 - 2*j**5\/25 - 3*j**4\/2 + 2*j**3\/3 + 12*j**2\/5 - 8*j\/5 + 4. Let t(a) = 0. What is a?\nAnswer: -2, -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -4*v - 719, 3*u + 434 = -0*u - 5*v. Let g = 161 + u. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-6)\/(-2) + 651577\/(-211580) and -85\/6.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13787 - 13787.008544. What is v rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5257 and -301?\nAnswer: -158.2357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176 = 56*w - 78*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 2 + (143 - 165)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - -6. Suppose 35 = 20*n - 15*n. Let k(i) = -g*i**2 - 2 + 3*i + 0*i**2 - n*i. What is k(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 9:16 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2*z + 2)*(-2 + 4 - 4) - z - 4 + 4 + 311*z - 643*z + 333*z + 219 in the form d*z + x and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 17 + 1\/10*x**4 + 9\/5*x**2 - 8\/5*x - 4\/5*x**3. Solve p(s) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3959, -3972, -3993, -4022, -4059?\nAnswer: -4104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/36 + 37376\/(-252). Let n = p + 148. Suppose -9 = -5*o - 4. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.28 - -1.92. Let s = 91951 - 91948.80004. Let w = p - s. What is w rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - -31) + -3 + 0. Suppose -c + r = 3*f, 4*f + 5*c = f + 46. What is the remainder when 26 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 3*m - 1. Let r be q(-4). Let z(c) = c**2 + 3*c + 4. What is the tens digit of z(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2060*o = -1104*o + 2522 - 28334 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 95*p - 99*p + 16. Solve -4*j + 6 = -3*k, p*j + 3*k - 8 = 5*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 + -7767?\nAnswer: -7775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/31 in -124, -0.3, 262, 2\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 23, 32, 43, 56, 71?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1888 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 5\/5 - (-4 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 + 4*s**2 + s - 3. Let h be (6 + -2)\/(-2) + -2. Let n be l(h). Which is greater: n or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -80552, -80556, -80560, -80564?\n\"Answer: -4*h - 80548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 203 (base 6) to base 11\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 16 = 2*v, 5*v - p - 47 = -2*p. Solve 0 = -w - 2*w - v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -8, -25*d + 1083 = -26*d - 5*o. What is d rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8 + -7 + -2 + 166. Suppose -3*p - d = -105. Let a(n) = -n**2 - 22*n - 24. Calculate the remainder when 42 is divided by a(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 16 = w - r, 2*w - 1 = r. Let p(j) = -10*j**2 - 1. What is p(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 319905 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.05 + 0.13. Let g = d + 0.02. Let i = 2\/105 + -23\/105. What is the closest to -1\/4 in g, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -69*y + 4. Let p(t) = -3*t + 1. Give -c(a) + 2*p(a).\nAnswer: 63*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-4))\/((-5580)\/(-240)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10010000100110100111101 (base 2) to base 5\nAnswer: -2203111430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 7*x. Suppose -5*m + 135 = 5*q, x = -7*q + 2*q + m + 123. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((5*sqrt(539) - sqrt(539)) + 1 + -5 - (sqrt(1584) + -1 + 3)**2).\nAnswer: -1592 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of 536*g**4 + 8*g**3 - 3*g**2. Let t be 5*((-185)\/25 + 6). Let v be j(t). Round v to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20063\/74635 + 3\/1265. Find the common denominator of -57\/5 and j.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -952, -949, -936, -907, -856, -777, -664?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q + 6. Let s be b(-5). Suppose t + 4*m + s = m, t - 3*m = 1. Sort 11, t, 1 in decreasing order.\nAnswer: 11, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*1*sqrt(110))\/(3*-1*sqrt(10)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3\/17 - 16*a**2\/17 - 10*a\/17 + 28\/17.\nAnswer: -2*(a - 1)*(a + 2)*(a + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/3)\/((-8)\/(-1476)). Suppose i = 5*c - 193, -c = -4*c - 3*i + a. Let t(b) = c + 11*b - 39. Let j(s) = 2*s. What is t(j(g))?\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3337.261635 and 58?\nAnswer: 3279.261635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 8:23 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fhg when three letters picked without replacement from {j: 1, g: 1, a: 1, w: 1, h: 2, f: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*a - 3508 = -1933. What is the highest common factor of a and 1722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -899*d - 4. Let v(o) = -899*o - 5. Let g(j) = -3*s(j) + 2*v(j). Let u be g(2). What is u rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4692 and 16?\nAnswer: 18768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -8243\nAnswer: -7\/8243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -70, -71, -72?\n\"Answer: -x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 315, 1260, 2827, 5010, 7803?\n\"Answer: -h**3 + 317*h**2 + h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -739 = -1395*q + 1469*q - 2071 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) 14  (b) 1\/3  (c) 3  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1166809 and -0.4.\nAnswer: -1166809.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 800000 = -6*u. Let v be 120\/16*u\/6. Round v to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10346486 - 15?\nAnswer: 10346471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -235374 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 10:35 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 2*u = -1, 4*h + 13 - 28 = -3*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d**2 + 249*d - 1043. Let g be p(-87). Let c(b) = 8*b**2 + b - 1. What is c(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6106 is divided by 357?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 34\/((-272)\/(-24))*1. Solve 11 = -2*m + n*f, m + 0*f + 3*f + 1 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, 0, -5, -4 in descending order.\nAnswer: 20, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*j**3*n**4 - 7*j**3*n**3 + 2*j**3 - 230*j**2*n + j*n**2 - 2*n**4 wrt n?\nAnswer: -96*j**3*n - 42*j**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/70 and -97\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 3289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*n + 10260 = -9*n. Round n to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 - 3 - (32 - 22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*v - 22. Calculate the remainder when 50 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 3 w when four letters picked without replacement from {s: 3, w: 2, q: 5, o: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i - 288*i - 1127*i + (2 - 1 + 1)*(-i + 0*i - i).\nAnswer: -1420*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.6 + 0.45. Is 2\/3 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, b: 3, i: 2, u: 1, k: 1, v: 1}. Give prob of sequence vk.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -60 - -62. Factor 4*y**2 - 13 + 0*y**2 - 7*y**k + 25.\nAnswer: -3*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.5, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -69169*a**5 - 97160353*a**4 - 34152835656*a**3 - 23171195160*a**2 + 10015243056*a - 869306256 = 0. Calculate a.\nAnswer: -702, -1, 42\/263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 498 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 41523128 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2706 + 2695. Let i(x) = -3*x - 13. What is i(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(-4)*(-40)\/10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -5  (b) 11\/9  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of -g**5\/90 + 137*g**4\/6 - 18769*g**3 - 296*g**2. Let o(x) = 0. What is x?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -46\/35, -9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.4 + 0.6. Let m(l) be the first derivative of l**3 - 3*l**2 - 14*l + 109. Let y be m(4). Which is the nearest to y?  (a) h  (b) -1  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -52 - 236*i - 112*i + 35*i**2 + i**3 + 451*i - 9*i**2. Determine b(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -66 + 66. Suppose 4*c + 8 = y, 2*u - 5*c - 55 = -3. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1616, -2\/19, 0.3, -7, -1\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 80 = 3*n, -6*n + 3*a + 140 = -2*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v. Let c(y) = -7*y**2 - 4*y - 2. Give -c(n) + 3*m(n).\nAnswer: 7*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.53031193 rounded to 2 decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, q: 4, f: 2}. What is prob of picking 2 q and 1 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 24\/263  (b) 0.35  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -15975*h - 24. Let c be q(-7). Let x = c + -216801. What is x rounded to the nearest 1000?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 0*c - 3*c)*(-2 + 3 - 2).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-8) - 391\/646. Which is the nearest to -1\/2?  (a) 1\/20  (b) z  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12 - -1*(5 - -2 - 6). Solve -11 = 3*g + 4*z - 2*z, z + f = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1739686*b**2 - 10218 + 10218 + 1739690*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*u - 83*u + 2832 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2568, -5899, -11458, -19251, -29284?\nAnswer: -41563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 6*n + 315. Let f be i(-49). Solve 0 = -5*m + f + 9 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2249097 a multiple of 613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 718326 divided by -102618\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 20242.\nAnswer: -1\/20242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 179b0c5 + 10?\nAnswer: 179b105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-21)\/28)\/(((-30)\/40)\/((-12)\/2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 80\/10 - 11 - 3. Let n(s) = s + 6. Let g be n(-9). Put -1, f, 1, g in ascending order.\nAnswer: f, g, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 2*g - 30, -4 = -l + 3*g + 16. Suppose 58*z - 59*z = -5. Solve -4*t + 24 = i + 3*i, -z*i - t + l = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3  (b) -4  (c) 0  (d) -0.012173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 30 = 3*c, 5*c + t - 74 = -0*t. Suppose -79 = -5*p - c. Sort 4, 1, p in increasing order.\nAnswer: 1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24072 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/862146 and -55\/95794.\nAnswer: 862146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.4+2.4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 47041 <= 68\/411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 55*y**2 + 10*y**2 - 40*y**2 - 58*y**2 - y to z*y**2 + l*y + h and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of -4*a**5\/5 - 19*a**4\/6 - 14*a**3\/3 - 3*a**2 - 2*a\/3 - 12. Find v such that r(v) = 0.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(315)\/(sqrt(27)\/sqrt(3)))\/sqrt(5).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 - 6*w**2 - 7*w - 8. Calculate v(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2901272 by -1.\nAnswer: 2901272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a**3 - 4*a**2 + 4. Let j be w(2). Suppose 4 = 8*s - j. Let m be (s\/2)\/((-14)\/42). Put m, 6, 1\/4, -0.1 in increasing order.\nAnswer: m, -0.1, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w**5\/2 - 195*w**4 - 567*w**3 + 582*w**2 + 2649*w\/2 - 1143 = 0. What is w?\nAnswer: -127, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in -0.04, -12, -5, -4, -9.93?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-9) - (-30)\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/552 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 3*d - 26 = o, 2*o = 5*d - 45. Find the first derivative of d*m**3 + 17*m**3 + 9*m**3 - 32 wrt m.\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.8 and 0.35?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/1988 and -1\/9674.\nAnswer: 1373708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2239 (base 14) in base 6?\nAnswer: 43243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1155 is divided by 282?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*x - 5*x = 5*x - 38 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -107996 + -377284. Let v = g - -485280.09000272. Let u = 0.09 - v. Round u to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**6\/(q*q\/(q**(-1\/2)*q))*q\/q**(-1\/3)*q**(-2\/5)\/q)**38 assuming q is positive.\nAnswer: q**(2527\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5361 - -5044. Which is smaller: r or -318?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -76654 smaller than -76656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.012947 rounded to four dps?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -287 + 289. Suppose -m + 2*v + 35 = -v, -127 = -3*m - i*v. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.7 + 2.87. Let h = a + 13.83. Let s = h - 13.9999993. What is s rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/(-18)*113\/((-44296)\/224)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**3 + 10275*h**2 - 20559*h + 10281 = 0.\nAnswer: -3427, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 58 - 58.19. Let j = h - -0.18999898. What is j rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 1350 = -5*w, -2*w + 540 = -0*w + 5*r. Is w a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/2071, -2503, 0.5, 4 in decreasing order.\nAnswer: 4, 0.5, 2\/2071, -2503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 35467141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 421071889.\nAnswer: 7, 60153127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 11:35 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (-2 + 4 + 3 + -10) - 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72 - 428*x**2 - 14*x**3 + 428*x**2.\nAnswer: -14*x**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w + 4. Let r be m(-8). Suppose 0*t + t = -8. Let q be 1\/3 - t\/(-6). Sort 0, q, r in ascending order.\nAnswer: r, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 154478458 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*y = -3*x - 11*y - 65, -24 = x - 4*y for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 h when four letters picked without replacement from ehhehhehhhehe?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8050, -15686, -23552, -31642, -39950?\n\"Answer: u**3 - 121*u**2 - 7280*u - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 140, 152, 180, 230, 308, 420, 572?\n\"Answer: u**3 + 2*u**2 - u + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120330222 (base 4) to base 14.\nAnswer: -29350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 3*l + 0*l)*(-20 - 133 - 66)*(4 + 0 - 5) + 4*l + 0*l + 0*l.\nAnswer: -653*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 111599 at most as big as 557994\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -86388.759 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 16 + -30 + 26 + -22 + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*s = -694, -4*o - 4483 + 1725 = -2*s. Let g = o + 695. Solve 0 = u - g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - 5346232?\nAnswer: -5346233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 470416 and 20.\nAnswer: 2352080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -104139, -208203, -312267, -416331, -520395?\n\"Answer: -104064*o - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 676 + -844. Let u = t + 490. What is the highest common factor of 46 and u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 69058497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 126, 129, 134, 141, 150?\n\"Answer: i**2 + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -264  (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 12 = -0*u + 4*q, 5*q - 21 = -4*u. Suppose u*y = -1 + 13. Suppose -105 = -4*s + 4*a + 19, 5*s = -y*a + 171. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 2*h = 0. Suppose 0 = -h*l + 3*l. What are the prime factors of 10 - l\/((-3)\/(-1))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*1*((-60)\/(-9))\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -10, 4, -4\/3, 2\/9, -13 in decreasing order.\nAnswer: 4, 2, 2\/9, -4\/3, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 + 9*l - 7. Suppose v = -3*v + 20. What are the prime factors of d(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**2*w)**(-1\/16))**30)**(-5) assuming w is positive.\nAnswer: w**(225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3257 (base 8) in base 15?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 8, u: 1, g: 1, x: 2, y: 3, h: 1}. Give prob of picking 1 g and 1 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {y: 1, n: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - 5. Let z = d + -6. Sort -3, -2\/15, z.\nAnswer: -3, -2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 0.14. Let z = 0.15 - m. What is the biggest value in 0, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 824 (base 16) to base 10\nAnswer: 2084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k - 4. Let l be x(6). Let w(b) = -12040*b - 180600. Let f be w(-15). Solve 6*o - l + 26 = f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 131, 119, 105, 95, 95, 111, 149?\n\"Answer: u**3 - 7*u**2 + 2*u + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -3*u. Suppose -29*a - 17 + 36 = -39. Let f(g) be the third derivative of 0 + 0*g + 0*g**3 - 1\/30*g**5 + 0*g**4 + 2*g**a. Give v(f(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2*z + 2 = -0*z, 4*t = z + 8. Let l(g) be the first derivative of -t*g - 1\/2*g**2 + 1. What is l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2369032977?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11.2 * 12724.\nAnswer: 142508.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + 3*o - o - 6, 4*o = 4*v - 36. Suppose -67*i = -69*i + 20. Calculate the greatest common factor of v and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - 2) + 5 + 9 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 54*c**2 - 2032*c + 18855. What is b(21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fblm when four letters picked without replacement from lllrzmfmlllfblllfm.\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y = -5*y - 8. Suppose y*z + 5*p = -16, 2*p - 3*p - 14 = -5*z. Find the second derivative of -7 + 3*u**5 + 7 - z*u - 14*u**5 wrt u.\nAnswer: -220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54031.5g in kilograms?\nAnswer: 54.0315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 45*h - 37*h + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1030, 1037, 1048, 1063, 1082?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k**4 - 137*k**3 + 531*k**2 + 137*k - 532 = 0. Calculate k.\nAnswer: -1, 1, 4, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -3*n**2. Let j(r) = -85*r**2 + 22 + 20*r**2 - 28 - 39 - 45*r. Let t(k) = -3*k**2 - 2*k - 2. Let h(p) = -4*j(p) + 90*t(p). Give h(z(f)).\nAnswer: -90*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 1302?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 AM and 3:24 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -7*r**2 - 8*r - 116. Let i(g) = -23*g**2 - 24*g - 347. Let o(u) = -7*a(u) + 2*i(u). What is the first derivative of o(b) wrt b?\nAnswer: 6*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -425514492 at most as big as -851028985\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36775 + 10066. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m + 1. Let z(n) = -6*n - 4. Let p(q) = -8*g(q) - 3*z(q). Let u be p(9). Let k be u\/(-4) - (-4)\/8. Which is the biggest value?  (a) 2  (b) k  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-b + 4 - 4)*(2*b - 3*b + 2*b) + (46*b + 3*b + 36*b + 2)*(-b + 3 - 3) - b**2 + 2 - 2 to y*b**2 + w*b + m and give y.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3886\/(-64119)*(-66)\/63.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*q - 606 + 190 + 196 = 0 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -12*q**3 - q - 4. Let l(p) = -10*p**3 - 5. Determine -3*c(m) + 2*l(m).\nAnswer: 16*m**3 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, g: 3, m: 4, i: 2, s: 3}. Give prob of picking 2 g, 1 v, and 1 s.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**2 + 7*a + 5. Let n(k) = k**2 + k + 1. Let g(t) = 3*n(t) - q(t). Let m = -95 - -113. Suppose -m = o - 4*o. Give g(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5215.985t to milligrams.\nAnswer: 5215985000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 2*m + 32, u - 10 + 39 = -2*m. Let n = -12 - m. Sort -3\/5, n, 5.\nAnswer: -3\/5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 5*w + 28, -w + 21 = -4*z - 6*w. Let p(a) = -3*a**2 + 3*a - 1. Let c(k) = -k**2 - k + 1. Calculate z*p(f) + 2*c(f).\nAnswer: -5*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*o - 24 = 30*o. Is -19\/7 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005628742 to six decimal places.\nAnswer: 0.005629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 4*g = 260, 0*g + 70 = b - 2*g. Suppose -4*u = -4*t + 368, 2*t - 112 - b = 4*u. Let i = t - 48. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 6*w**3 + 8*w**2 + w - 15. Suppose 0 = h + 7 - 2. Let i be c(h). Round i to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 5, 10484, -2 in descending order.\nAnswer: 10484, 5, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16409 and 786229?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7148179 is divided by 257?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 1 - 6) + (13 - -38) + (-43 - 82)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(308)*-2*4*-3)\/((sqrt(11) - sqrt(22)\/(sqrt(2)*-2))*5))**2.\nAnswer: 7168\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 1)\/(16*19\/912)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/6*(-8 - 1). Let w be (4 + 0)\/(-4)*-14. Let h = w - d. Solve 5*m + h = 3*z, -4*m - 16 = -3*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 67 or 1.206?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1117312277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*h + 5851 = -2591. What is the highest common factor of h and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x**3 - 77*x**2 - 37*x + 109. Calculate r(-38).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Multiply 84705 and 21.\nAnswer: 1778805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + 2*w**2 - w + 40. Let d be s(0). Let l be 2\/(-10) + -6*(-28)\/d. Solve -3*b - 2*p = 7, l*p - 6 = -14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 3*i - 678, -3*o + 4*i - 639 = 377. Let p = o - -338. Solve 0 = -p*l, 2*s - l = 2*l - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 981621 is divided by 2183.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -9*p**4\/7 - 87*p**3\/7 - 261*p**2\/7 - 39*p - 90\/7 = 0.\nAnswer: -5, -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7146 is divided by 7049.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qx when two letters picked without replacement from xppapqppqppqpqpqp?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 117 - -45. Let v(t) = h - 162 - 4*t. Let d(r) be the first derivative of r**3\/3 - 1. Determine d(v(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 5949 = 1429. Suppose 126*l - p = 116*l. List the prime factors of l.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 AM and 9:41 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {p: 3, a: 6, i: 3, d: 3, r: 2}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26 + 36. What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -22*d*p - 37*d*w**4 - 112*d*w**2 + 5*d + 945*p*w + 3564*p wrt w?\nAnswer: -148*d*w**3 - 224*d*w + 945*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:47 AM and 2:04 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 1\/5 - 1\/2*l + 1\/5*l**2 = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5525 - 4693 = 72*m - 6330 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - 2) + (1 - -5). Suppose 5*l = 3*v, 28 = -v - j*l + 8. What is the nearest to -0.1 in v, 2\/9, 3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -26, -2\/3, -3, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 12, b: 7}. Give prob of picking 3 b.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -124, -154, -206, -286, -400, -554, -754?\n\"Answer: -m**3 - 5*m**2 - 8*m - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by 133.\nAnswer: 10\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 8) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -1668857?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3470, -3467, -3466, -3467, -3470, -3475?\n\"Answer: -y**2 + 6*y - 3475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-3)*2\/(((-364)\/(-21))\/2).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(13) + 2 + sqrt(637)).\nAnswer: -8*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1908792 - 1908792 + 3*x + 57*x**2)*(-3*x**2 + 3 - 3 - 2*x**2 + 2*x - 2*x + (2 - 1 - 3)*(-4 + 4 + x**2) + 2*x**2 - 4*x + 4*x).\nAnswer: -285*x**4 - 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1255, 2578, 3901?\n\"Answer: 1323*b - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 12 = -j. Let c = 6 - j. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.8 - -0.8. Is k > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2*i**2 - 7*i. Let a(q) = 2*q**2 + 6*q. Suppose -3 = 2*o + 9. What is o*p(v) - 7*a(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0108321579 rounded to 5 dps?\nAnswer: -0.01083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 10 = 2*d - 3*d, 3*j + 3 = 3*d. What is the greatest common divisor of 24 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*z - 2*z + 2*z)*(z + 2*z - z)*(-76 + 76 + 345*z) to h*z + c*z**3 + d*z**2 + p and give c.\nAnswer: 1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 - 8. Suppose -u = -l*u - k + 95, -5*k = u - 19. Suppose -4*i = -4*v - u, -v = i - 5*v - 15. Solve -2*j = -i*x, j + 9 = -5*x + 2*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u - 5*u - u)*(6*u**3 - 22*u**3 - 31*u**3)*(4*u - 2*u - 3*u + (1 - 2 - 1)*(u - 2*u + 2*u) + 195 - 195 - 35*u).\nAnswer: -3572*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/186 and -29\/237.\nAnswer: 14694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1\/k**(1\/2))\/(k\/(k\/k**(-5\/4)*k)*k**1*k))\/(k*k**(-3\/4)\/k*k**(2\/7)*k*k*k*k)**(-1\/17) assuming k is positive.\nAnswer: k**(114\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 11  (b) 428  (c) -2  (d) 0.154  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.6791 + 0.3209. Which is the smallest value?  (a) 7\/5  (b) o  (c) 2\/3  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -6*n + 2*n + 6 + 3*n. Let a(k) = -2*k**3 + 20*k**2 + 2*k - 19. Let d be a(10). Let q(j) = 1. Let y(o) = d*b(o) - 2*q(o). What is y(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5512397 + 0.06.\nAnswer: 5512397.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 562661 - 462?\nAnswer: 562166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.7172536 years?\nAnswer: 0.0007172536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1559648 and 136.\nAnswer: 1559648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k - 16 - 9 - k. Let f(z) = -z - 12. Let w = 47 - 51. Let q(l) = w*s(l) + 9*f(l). Determine q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 16. Suppose 1 - b = -2*l. Calculate the remainder when 2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -122 - -202?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 3457  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -16*(2\/(-4) + 1). Does 0 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6.93652 centuries?\nAnswer: 8323.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1141*f - 1206?\nAnswer: 1141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 210.25 to the nearest integer.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 318, 317, 316?\n\"Answer: -w + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 3*s**3\/7 - 73548*s**2\/7 + 418784256*s\/7 + 398879686656\/7 = 0.\nAnswer: -828, 12672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-6) + 1\/2. Let g(d) = -d**3 - 9*d**2 - 8*d. Suppose -21*y + 8 = -22*y. Let i be g(y). Solve -2*x + p + 3 = i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -14*m**3 + 6*m**2 + 190*m + 13957. Let i(x) = -7*x**3 + 3*x**2 + 96*x + 6983. Let u(w) = -7*i(w) + 3*p(w). Find the first derivative of u(g) wrt g.\nAnswer: 21*g**2 - 6*g - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(1872) - (3 + sqrt(1872)))*2 + sqrt(1872) + -2 + sqrt(1872) + -2 - ((sqrt(1872) - (sqrt(1872) + 1)) + -2 + -4 + sqrt(1872)*4))**2.\nAnswer: -7497 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1957217.53 to the nearest one hundred.\nAnswer: 1957200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(210)*1)\/sqrt(10) - sqrt(21))\/(sqrt(686)\/sqrt(2)) + -3)*2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - -12122?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 71511123 to the power of 1\/2, to the nearest integer?\nAnswer: 8456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 87552 and 13851.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 55941 = q - 5*t, -5*q + 139730 = 5*t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23404.47255 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -599471\nAnswer: 299735.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2 + sqrt(2448) + sqrt(51)\/sqrt(3) + -3 + sqrt(170)\/(sqrt(40)\/(sqrt(28)\/sqrt(7)) - sqrt(10) - sqrt(10) - sqrt(10)))**2.\nAnswer: -31887\/2 + 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 7, o: 8, y: 3}. Give prob of sequence yoh.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -25774 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 13, -7 in descending order.\nAnswer: 13, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-135 + 122 + 110)*(0 - 6 + 4)*(14*k + k + 4*k)*(0*k**2 + 5*k**2 - 3*k**2) to r*k**3 + u*k**2 + f + n*k and give r.\nAnswer: -7372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 9:10 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + -2 + (-3 - -7). Suppose 4*d = g*t, 3*t + 18 = -d - t. Let h(y) = -y**2 - 3*y - 3. Give h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 - 1 - -2) + 3. Let r be z + 0 - 9\/((-9)\/(-3)). Let j(u) = -19*u - 1. Let n be j(r). Calculate the greatest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - j - 87. Sort -5, 1, j, 2\/5.\nAnswer: j, -5, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 232 + 887 = 0. Suppose 3*k = 58 - v. List the prime factors of -2*(k\/6 - -3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32432 is divided by 4630?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 4*b + 6. Suppose 0 = -5*x + 68 + 502. Let n = x - 118. Calculate z(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/6 + (-9)\/(-2). Let c = t + 17. What is the lowest common multiple of c and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 6 = -5*m + 3*c, -5*c - 7 = -3*m. Suppose 4*n = 23 + m. Solve 6 = -6*a + n*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2 + 5422008*c - 10844028.\nAnswer: 3*(c - 2)*(c + 1807338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-6\/5)\/o**6*o**(-4\/3)*o**(-5\/4))\/(o**(-1\/12)\/o*o*o*(o*o**0)\/o*(o*o**4*o)\/(o**(-2)*o*o)) assuming o is positive.\nAnswer: o**(-167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 433*j**3 + 3*j + 127?\nAnswer: 2598*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 122762 + -122755. Let u be (-2)\/8*(-32)\/3. Is u less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2618 divided by 385?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1846130*k**4 + 19*k**3 - 14321*k**2 - 2*k - 618?\nAnswer: -44307120*k + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41091623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -381*d**4 - d + 231 wrt d.\nAnswer: -4572*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 207 + 395. What is the remainder when u is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 35 and -86086?\nAnswer: -3013010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 135 and 7155.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/78 - 2\/6. Let x = -11794\/216307 - 1\/2377. Let y = d + x. Which is the second biggest value?  (a) -0.1  (b) y  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -241001 (base 6) to base 11\nAnswer: -14819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(8\/5)\/((u*u**(-14))\/u))\/((u*u**0)\/((u*u*u\/(u**17\/u)*u*u*u)\/u)) assuming u is positive.\nAnswer: u**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 16) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 13990614310 to the nearest 1000000.\nAnswer: 13991000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -31 + 47. Let t(m) = m**3 - 17*m**2 + 18*m + 19. Let i be t(l). Calculate the greatest common divisor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 - -4. Let v be 5\/10 - d\/(-4). Suppose 0 = -m + 8 + v. Calculate the highest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-3)*24\/(-120).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 7, d: 3, v: 3, n: 2, j: 1, r: 1}. Give prob of picking 1 j, 1 n, and 1 r.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.3215 + 2.32107068. What is a rounded to 6 dps?\nAnswer: -0.000429","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3565 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l - 2*l - 3320 - 3340 + 6685.\nAnswer: -l + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 - 8*x + 5. Let v be h(-8). Let t(r) = 5*r**2 + 19*r**2 - r + v*r**2. List the prime factors of t(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9417?\nAnswer: 3, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 93.6 + -94. Suppose -i = -3*i + 2. Put -1, k, i, -2\/3 in decreasing order.\nAnswer: i, k, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -378*f**2 + 3 + 588*f**2 + 15238*f**3 - 3 - 210*f**2.\nAnswer: 15238*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1969 and 30239?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 140873*k = -140872*k + 1, -k - 13 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -313*q - 2 + 2.\nAnswer: -313*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*p**2 + 2*p + 4*p - 6 - 6*p.\nAnswer: 13*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1675604 (base 9) to base 11.\nAnswer: -58a095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 427.719 to zero decimal places.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -402.\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5f36 (base 16) to base 8.\nAnswer: -57466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9632241.6 rounded to the nearest one hundred thousand?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67 - 12622*q**3 + 67907*q**3 + 67.\nAnswer: 55285*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccoococc. Give prob of picking 1 o and 3 c.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and -0.73?\nAnswer: -0.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1543.3986 + 1544. What is d rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75762 = -q - 4*f, 4*q - 5*f + 269588 = -33397. What is q rounded to the nearest 1000?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 142670 and 11000.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1\/11, -2\/5, 1\/39, 0?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 1 - 10 + 20 - 5 - 8*j.\nAnswer: -8*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u**2 + 36*u - 23. Calculate l(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -16. Let z = -8.784 + 13.784. Let v = -10.78 + -0.22. What is the nearest to f in v, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 193854708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25309418 is divided by 766?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -4*o**2 - 16*o - 15. Let f be g(-9). Let s = 451 + f. What is the greatest common factor of 96 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 18*t - 43. Let u be n(15). Suppose 0 = -y - 2*w - u - 6, 30 = -5*y - 5*w. What is the closest to y in -2, 15, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0805361 to three dps.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.26 + -3.26. Which is the nearest to 1\/4?  (a) -0.7  (b) v  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:53 AM and 6:03 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 7*a + 17. Suppose 12 = -t + 5*i, 4*t + 2*i = a*t. Sort 1, t, 7.\nAnswer: t, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 689 + -643. Calculate the highest common divisor of 529 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 2\/55202437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -850662 divided by 18.\nAnswer: -47259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1034.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -94395.9 take away 438418?\nAnswer: -532813.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/24 and 65\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - -49 - (-11 - (11 + -28)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*z = 95*z - 24. Let g(w) = -25*w - 2. Let f(s) = 1. Calculate z*f(a) - 2*g(a).\nAnswer: 50*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-525)\/(-1890))\/(10\/(-8))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d**3 - 6070*d**2 + 1872220*d - 18120200 = 0.\nAnswer: 10, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d**3 + 134*d + 50*d - 2*d**3.\nAnswer: -8*d**3 + 184*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3 + 1 + 111 - 0.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*m - 9282 = -38*m. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 0.1  (c) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**28)**38 assuming o is positive.\nAnswer: o**1064","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 1588 = 4*p. Which is smaller: p or -399?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10 - -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*x - 9*x = -5*z + 21, -5*z = 4*x - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2293*l**3 + 3488*l**2?\nAnswer: -13758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35 - 31. Find the first derivative of -8*s - t - 5*s + s + 4*s wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 442 - 1538\/3. Is k != -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 - -2 - 2)*(-6)\/(-4). Put 5, b, 3, -5 in decreasing order.\nAnswer: 5, 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of w**4\/24 - w**3\/3 - 6*w**2. Let j be n(6). Suppose 140 - 56 = j*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 84\/56 + 9\/(-2). Is -39\/10 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 89876 or 15?\nAnswer: 89876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y - 9*y + 11*y + 0*y + y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 143433530 (base 6) in base 9?\nAnswer: 5534140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3\/2)\/((-15)\/20) - -867?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 63293665 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*a - 4*a + 8*a + 1060 - 5*a**3.\nAnswer: -5*a**3 + 1060","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 72*n**2 - 3*n - 1. Let f be l(-2). Let q = 289 - 284. Suppose q*a = f - 63. Calculate the greatest common factor of a and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*c, 3*n + 2*n - 64 = 2*c. Let x = 14 - n. Factor 7*o - o**4 - 3*o + x + 4*o**3 - 5*o**2 - 1 - o**2.\nAnswer: -(o - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 50*0.4333\nAnswer: 21.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*v - 5. Let w be v\/((-4)\/(-5) + (-140)\/300). Solve 5*z = d - w*d - 35, 2*d + 30 = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011001110 + 11101010101?\nAnswer: 10010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 453798142 = 167*a + 155*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -193*x**3 + 12*x**2 - 6*x + 4. What are the prime factors of q(-4)?\nAnswer: 2, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65735.98 millimeters to kilometers.\nAnswer: 0.06573598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 5 + (6 - 6) + 0 + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -28670791*-3\nAnswer: 86012373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.35 - 0.05. Which is the nearest to 0.2?  (a) -3\/2  (b) l  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/4*5100\/(-765)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -92 - -96. Solve -4*u + 20 = -4*v, -m*u = -0*v + 3*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - -5. Suppose -i - i = -v. Suppose -5*n = 4*c - i*c + 42, 0 = -2*c + n + 35. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22.41 - 1.41. Is 4 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u + 3. Let r be w(-2). Let g = r - -9. Suppose -n - 5*i = -6*n + 10, 5*i = -5. What is the greatest common factor of n and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of -2*j**7\/7 - 2*j**3 - 12. What is the third derivative of a(p) wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from nngnnggnngnng?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1368070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -475*d - 16 = -471*d. Let i(x) = -5*x**3 - 5*x**2 - 3*x + 4. Let w(f) = 6*f**3 + 6*f**2 + 4*f - 5. Give d*i(r) - 3*w(r).\nAnswer: 2*r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19\/2 in 0.1, -1, 213, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3634356, -3634379, -3634440, -3634557, -3634748, -3635031, -3635424?\nAnswer: -3635945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/681?  (a) 2  (b) -22  (c) -1\/5  (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -201314 - 757336 = -210*h. Is 154 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2418552 divided by 268728.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -5*a - 2*a**2 - a**2 + 13 - 18*a - 9*a. Let i be f(-11). Put -2, i, 4 in ascending order.\nAnswer: -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 - 2)*(-d - 1 + 1) + (7 + 17 - 3)*(1220937*d - 1220942*d + 6 + 9) + 2*d - 4*d + 3*d + (1 + 0 - 2)*(2 - 2 - d).\nAnswer: -102*d + 315","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5)\/90 - (-8)\/(-72). What is the nearest to 0.2 in p, -100, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5030 - 4315. Calculate the remainder when 3584 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o - 1. Let y(r) = 4*r - 4. Suppose -11*k - 25 - 41 = 0. Give k*y(z) + 22*t(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*n = -756 + 903 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -484, -1920, -4306, -7642, -11928, -17164, -23350?\n\"Answer: -475*q**2 - 11*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of -2*h**6\/15 + 2*h**5\/5 - h**4\/3 + 2*h + 7. Determine z, given that m(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -35*j - 92. Let d be i(-3). Suppose 3*g = d - 10. Solve 0 = -z + 3*m + 5, 5*z - 5*m + g - 6 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, i: 1, y: 1, j: 2}. Give prob of sequence yq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1217226547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*b**2 - 62*b + 40.\nAnswer: -2*(b + 4)*(9*b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.299 + -0.3. Let r = -336.8 + 336.801. Let p = v + r. Sort -2\/9, p, -10.\nAnswer: -10, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*x**5 - 585*x**4 - 38022*x**3 - 823290*x**2 + 38025*x + 823875 = 0. Calculate x.\nAnswer: -65, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-10) - (-24)\/15)*440\/(-89100)*135.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1293*m + 823*m + 3290 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c13792 (base 15) to base 11.\nAnswer: -51a7315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 14*a**2 + 17*a. Let v be y(15). Let b(g) be the first derivative of 2 + v - 57 - g**3. Let r(s) = 7*s. Calculate b(r(l)).\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 512482 divided by -30146?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -60150456+-1\nAnswer: -60150457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21943908.\nAnswer: 2, 3, 7, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1417 and 436.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -73*m**3 - 3*m**2 - m - 16. Let q be g(-4). Suppose 1115 = -13*x + q. List the prime factors of x.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 2*x**2 + x - 4. Let l be r(0). Is 12 a factor of ((-304)\/12)\/(l\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 92898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/4 - 43787*p + 1917301369.\nAnswer: (p - 87574)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19\/145 - -2\/29. Suppose 1 = 4*t + s - 6, 4*t = 2*s + 22. Let x be -4*t\/(-18)*3. Which is the nearest to x?  (a) 4  (b) -0.4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -281*v + 2. Let t(q) = 20*q. What is m(t(c))?\nAnswer: -5620*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5*(-1)\/((-10)\/(-12)). Suppose 0 = 535*i + 1359 - 5104. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 14) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -292*n - 3*r - r = 290*n - 577*n + 87, 3*n + 603 = -33*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*k - 48*k + 40*k + 1680 = 68*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/10*-2*1. Sort 2, 0, d, 5 in increasing order.\nAnswer: d, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**2\/5 + 9788*a\/5 - 23951236\/5 = 0 for a.\nAnswer: 4894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -73  (b) 0.2  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (30\/(-25))\/(-2) + (-98496)\/10. Let j = a - -206768\/21. What is the common denominator of -127\/6 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3\/6850 + -1708\/10275. Which is the nearest to -1?  (a) -1.775  (b) m  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -62, -4 in descending order.\nAnswer: 6, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of 14\/3*c**3 - 7*c**2 + 0*c + 9. Find the second derivative of h(k) wrt k.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 431 + -199. Suppose -n = 3*n - r. What is the units digit of n - ((-8)\/(-4) + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 5*z - 2, -3*d = -2*z - 0 + 10. Suppose -u = -3*u + 8. Solve -r - 7 = 3*l, -11 + 3 = u*l + z*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.526187 centimeters in micrometers?\nAnswer: 65261.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express r - 2 - 19*r**2 + 4*r - 2 - 5*r - r in the form i + u*r**2 + a*r and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -3, 6*l + 2*w - 51 = l. Let j = -5 + l. Find the second derivative of -6 - h + 4*h**j + 6 wrt h.\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -62*h + 26*h + 82656. Calculate the greatest common factor of 56 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 36851 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16)\/(sqrt(56)\/(sqrt(56)\/sqrt(8)))*2 - (sqrt(18)\/sqrt(9) + -4 + sqrt(2) + -5*sqrt(2)*2))**2.\nAnswer: 80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12 + -551?\nAnswer: -53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(75) + (3 + sqrt(75) + -1 + sqrt(75))**2 - 1*6*sqrt(75) - (-4 + (sqrt(75) - (-2*sqrt(75) + 3) - (sqrt(75) + 1*sqrt(75) + sqrt(75))*-5)**2).\nAnswer: -24001 + 555*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 15 = -2*m + 5*u, 4*u - 12 = 0. Let y(f) = -4*f + 5. Let z be y(m). Let j = -10 - z. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3149 - 3148.99. Which is the nearest to 2\/5?  (a) -3  (b) -2  (c) s  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*z**3 - 6*z**3 + 0*z + z to the form q*z**3 + a*z + g + w*z**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -159680349*v**2 + 138890505?\nAnswer: -319360698*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22968191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2101632, -4203280, -6304926, -8406570, -10508212, -12609852?\nAnswer: -14711490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 33482694 to the nearest integer?\nAnswer: 5786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, k: 3}. What is prob of picking 2 g and 2 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 5*u - 5*m, -5*u = -u + 3*m - 114. What is the highest common factor of u and 1164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*d*f**3 - 419*d*f + 12*f**3 - 36846*f**2 + 8*f - 5 wrt f?\nAnswer: -18*d*f + 72*f - 73692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-12)\/(-15) - (11906\/(-5) - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 13) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 413*o**5 + 2*o**3 + 365*o wrt o.\nAnswer: 8260*o**3 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (14\/(-3))\/((-10)\/(-15)). Let l be (-2)\/7 - 37\/v. Suppose 5*b - 8 = b + f, b + l*f - 2 = 0. Solve 5*z = -t - 24, -7*z - 23 = 2*t - b*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -7*(-10)\/35 - -2. Let y be 2\/(2\/(-6)*-2). Suppose -m + 3*k = 2*k - 326, y*k - 1339 = -d*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29404.\nAnswer: 2, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1320*m - 1321*m + 7 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + w = 0. Let q(t) = t**3 + 2*t + 2. Let f be q(w). Let r be 0\/((-9)\/(f - -1)). Solve 0 = -5*k - 2*z - 6, -5*z + 0 - 15 = r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 + 18*n - 260. What is s(10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.7 - -0.3. Let v = 35 + -32. Suppose 2*y = v*u + 1, -2*y + 1 = u - 4. What is the nearest to 1 in l, -3, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -1116\/7  (c) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 PM and 3:25 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 49*h**3 - 6*h**2 - 2*h - 6. Let r be l(3). Suppose 1252 = 2*o + o - 2*g, 3*o - r = -3*g. List the prime factors of o.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-22)\/4 + (-6)\/(-12). Let c(q) = q + 9. Let f(s) = 4*s + 23. Let z(m) = 2*c(m) - f(m). Calculate z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z**(-5)*z)\/z)\/(z\/z**(2\/7)))**(5\/6))**(-1) assuming z is positive.\nAnswer: z**(100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 - 6*d**2 + d + 4. Let m be p(5). Let z = -20 - -32. What are the prime factors of (44\/m)\/((-1)\/z)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6621\/18 + (-1)\/(-18)*3. Let w(g) = -611*g - 563. Let d be w(-1). Calculate the highest common factor of d and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 110963 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g + 15. Suppose 3*q - m - 20 + 3 = 0, -20 = -3*q - 2*m. Suppose -6 = q*y + 36. What is s(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 87755.16 milligrams?\nAnswer: 0.08775516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 - 5*r**2 + r. Let b be z(5). Find the second derivative of i**4 + 133*i + 39*i**b - i**4 - 157*i wrt i.\nAnswer: 780*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - -2 - -5) + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2\/1 - (-65)\/(-39)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -5*q**2 + 19*q + 19. Let f be y(9). Which is the second biggest value?  (a) f  (b) 1\/2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30*f + 38*f + 39*f)*(-6 + 4 + 4) + 3*f - 2*f + 0*f + (0*f + 0*f - f)*(1 + 3 - 6) - 2*f + 0*f + 3*f - f + 2*f + f.\nAnswer: 100*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(108) + (sqrt(108)*5 - sqrt(108)) - sqrt(108)) + sqrt(108).\nAnswer: -138*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 65059194 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7484?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - 18*v**2 + 33*v - 16. Calculate t(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 8*o - 10*o. What is the common denominator of o\/4*53\/15 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 234*r - 113*r - 4*r**2 - 121*r - 10*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**(1\/6)*c))**(-12)\/(c*c**(-3\/5))**8 assuming c is positive.\nAnswer: c**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -6*i + 359. Determine t(67).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 643 and 53.\nAnswer: 34079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 14, q: 5}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 420 and 7415380.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -68*x - 1 + 2 + 120*x - 93*x to the form q*x + s and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*x**2 + x**2 + 4*x**2)*(0 + 1 + 1) + x**2 + 3*x**2 - 3*x**2 + (3*x - x + 0*x)*(2*x - x + x) - 7*x**2 + 7*x**2 - x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 470 = 454. What is the highest common divisor of 42 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -4\/5*l**4 - 72\/5*l**2 - 32\/5*l**3 - 4 - 64\/5*l = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 + 3*n**2 - n - 1. Let p be j(2). Is -1\/4 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/12)\/((20\/(-3))\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*r*v**6 + 3*r*v**4 + 32*r*v - v**5 - v**2 wrt v?\nAnswer: 1920*r*v**3 + 72*r*v - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*z**2 + 2598*z + 2601 = 0. Calculate z.\nAnswer: -1, 867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5275, -5291, -5309, -5329?\n\"Answer: -i**2 - 13*i - 5261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*h**2 + 599*h**2 - 34*h**2.\nAnswer: 599*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -109, -366, -795, -1396, -2169, -3114, -4231?\n\"Answer: -86*j**2 + j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qclllgeuucqlqeleqlc. Give prob of sequence guuc.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*j - h, -3*h + 8*h = -4*j + 17. Let s = j + 292. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/94 + 1455\/188. Let n be (-70)\/(-32)*(-72)\/20. Let q = n + h. Which is the closest to 0.3?  (a) q  (b) 3  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31, 155, 355, 625, 959, 1351?\nAnswer: 1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.17 - 1.33. Let w = j + 1.4. Let k = 4 + -8. Which is the closest to 2?  (a) w  (b) k  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -26, -107, -242, -431, -674?\n\"Answer: -27*h**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2879223 and -341.619?\nAnswer: 2879564.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 41742010 times -3\nAnswer: -125226030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1365807, 1365773, 1365739, 1365705, 1365671?\n\"Answer: -34*s + 1365841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, j: 7}. What is prob of picking 2 j and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 12 = 3*w. What is the first derivative of -2 - 3 + 4*s**w - 5*s**3 wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(77)*-1)\/(sqrt(7) - (sqrt(7) - sqrt(28)*1)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 70, 164, 296, 466, 674, 920?\nAnswer: 1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g - g - x - 4, -12 = 2*g + 3*x. Suppose g*c = -4*c + 8. Suppose -3*y = c*y. Solve y = -z + 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -8, 318 in increasing order.\nAnswer: -8, 1, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/390870 and -19\/210?\nAnswer: 2736090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 24*i**2. Let c(n) = -11*n + 24. What is c(d(p))?\nAnswer: -264*p**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -11405504 (base 7) to base 12\nAnswer: -408868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, z: 4, y: 10}. What is prob of sequence yzyz?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -45*h**4 + 183*h**3 - 148*h**2 - 168*h - 41. Let o(g) = 22*g**4 - 92*g**3 + 74*g**2 + 84*g + 20. Let s(l) = 4*j(l) + 9*o(l). Factor s(a).\nAnswer: 2*(a - 4)*(a - 2)*(3*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 505 + -197. Calculate the highest common divisor of o and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**2 + 2*b. Suppose -5*v - 5 - 50 = 0. Let i(f) = -6*f**2 + 6*f. What is v*l(d) + 4*i(d)?\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 0. Sort -1\/4, b, 1\/2 in ascending order.\nAnswer: b, -1\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65, -69, -95, -155, -261, -425, -659?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2*49\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, 176, 465, 872, 1391?\nAnswer: 2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.01645934 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 193314.\nAnswer: 2, 3, 11, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (1 - 8 - (66 - 77))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u + 5*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134 = 4*g - f, 0 = -3*g - 2*f + 55 + 62. Let u = 107 - 70. Solve -u = -l - g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 324346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/(-78) + 17*(-396)\/(-3978))\/(6\/352). Determine f, given that -2\/9*f**3 + 968\/9 - b*f - 86\/9*f**2 = 0.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*c = 6*w + 41*c + 2, -8 = 4*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 46*g**2 + 3*g + 3. Let q(s) = s**3 - 47*s**2 - 2*s - 2. Calculate 3*q(t) + 2*w(t).\nAnswer: t**3 - 49*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000629262 to 6 decimal places.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17174953 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 298593060 and -2.49?\nAnswer: 298593062.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 40530631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1794 and 27?\nAnswer: 16146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-8 - 4*(-50)\/24). Factor 8\/3 - y - 3\/2*y**2 - 1\/6*y**o.\nAnswer: -(y - 1)*(y + 2)*(y + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 - 8*k - 5. Let s be 4 - ((-6)\/3 + -2 + 2). Let m(d) = d**2 - 9*d - 6. Calculate s*m(l) - 7*u(l).\nAnswer: -l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 f when three letters picked without replacement from {o: 5, f: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -2  (c) 2\/3  (d) 188  (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37, -71, -93, -97, -77?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3\/4)*q)**(-15)*(q*q**5*q)\/(q**7\/q) assuming q is positive.\nAnswer: q**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24334460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -469*j**3*q**4 + 304*j**3 - 52*j**2*q**5 + 10*j*q**2 + j*q wrt q?\nAnswer: -11256*j**3*q - 3120*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1122351 + 3?\nAnswer: 1122354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3378 (base 9) in base 16?\nAnswer: 9c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22730 by -22730.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2113 < 2115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -82, -151, -228, -313, -406, -507?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 92.7437 centuries in decades?\nAnswer: 927.437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5\/(-20)*16\/22. Let t = 0.8 + 0.2. Which is the nearest to p?  (a) -1  (b) t  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of f**4\/6 - 28*f**3\/3 + 24*f**2 - 2*f. Let v be s(14). Solve -15*u + 19*u - 12 = v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6.96 * -182\nAnswer: -1266.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 7:15 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -364 + 372. Calculate the highest common divisor of 16 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(0\/(-1) + 2). Let m = 725 + -718. Suppose m*a - 16 - 152 = z. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 3*j + 1 + 12, 4*i + 4*j - 4 = 0. Suppose -13*x + i = -8*x. Let u be 3 - x\/2*2. Solve -m - 2 = -u*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 439*n - 3 = 438*n. Let d be (-2)\/(((-2)\/5)\/1). Solve -d = -2*z - n*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + 9 + -1 + 1. Let v be (-934)\/(-4) - (-5)\/r. Factor -16*o**4 - 4*o**5 - 24*o**3 - 16*o**2 - v - 4*o + 234.\nAnswer: -4*o*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -504059 + 42?\nAnswer: -504017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 269*p**3 - 90*p**3 - 13*p**3 - 63*p**3.\nAnswer: 103*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 17. Suppose -3*h - 4 = -h. Put 5, j, h in ascending order.\nAnswer: j, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 23236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*h**3 + 1655*h**2 - 31600*h + 155500 = 0. What is h?\nAnswer: 10, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/15*(-15)\/(-20)*24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 43*d - 41*d - 8. Sort d, 2, -1, -3 in descending order.\nAnswer: d, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170)\/(sqrt(5) + sqrt(20) - sqrt(5)) + sqrt(136)*-2)\/(sqrt(162) + sqrt(2) - 1*sqrt(8)\/sqrt(4)) + -3)**2.\nAnswer: 7*sqrt(17)\/3 + 3749\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 145622 = 2*x, -10*o - 3*x = -11*o + 36418. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 3*i - 1893, -5*n = 13*i - 9*i - 2522. Let u = 671 - i. What is the greatest common factor of u and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00010042 rounded to 7 dps?\nAnswer: -0.0001004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 5*p**2 - 3*p + 1. Let q be r(4). Solve -3 = -b - 2*b - q*m, b - 2 = -2*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + 5*w**2 + 121*w - 57. Let s be m(-17). Solve -s*y + 4246*y = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -1 + 4*g**2 + 2 + 3 - g - 3. Let h(y) = y**2 + 1. Let v(t) = -42*t + 209. Let r be v(5). Give r*d(m) + 2*h(m).\nAnswer: -2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1417 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of 0 + 5\/336*s**8 - 1\/12*s**6 + 0*s**5 + 0*s**7 + 0*s**3 + 5\/24*s**4 - 9*s**2 - 8*s. Let p(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 48\/27 - (-2)\/9. Suppose -r*p = 2*p. Suppose 18 = 2*m - p*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 + 29 - -5) + -24.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 4*f**3 + 3*f - 37. Let v(a) = -a**3 - 5*a**2 + 805*a + 19. Let n be v(26). Let d(l) = 3*l**3 + 2*l - 25. What is n*d(s) + 5*m(s)?\nAnswer: -s**3 + s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 6:41 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 241.824 rounded to 0 decimal places?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389040 is divided by 413?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17391\/259 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -55 at least as big as -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-396)\/(-1595))\/(-2))\/((-1128)\/940).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80, 132, 172, 194, 192?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25098413.\nAnswer: 25098413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -2, -0.4337?\nAnswer: -0.4337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*f + 211 + 7415 = -4374 for f.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (2*sqrt(343))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -165*d**2 - 8298*d - 57455. What is r(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1685, -1689, -1703, -1733, -1785, -1865?\nAnswer: -1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 879 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t - 3. Let j be i(7). Let c(s) = -s**3 + 7*s**2 - 2*s - 5. What are the prime factors of c(j)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 461 = 6*o - 10*o - 3*q, -4*o = -q + 465. Let h = o - -1046\/9. Factor -2\/9*n**4 + 0 - 2\/3*n**2 - 2\/3*n**3 - h*n.\nAnswer: -2*n*(n + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + (4\/(-1) - 0). Let p(d) = 1 + 0 - d + 1. What is p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70907.59m in nanometers?\nAnswer: 70907590000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3*m = -50. Suppose -2*z - 100 = -4*a, 4*a + m = -a. Let t = z + 85. Solve t = -2*c + 3*f + 2*f, 5*f - 16 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**7)\/n*n)**31 assuming n is positive.\nAnswer: n**(-186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {r: 5, j: 7, l: 4}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u**2 - u**2 + 2*u**2)*(u + 11*u + 4*u) + (u**3 + 5*u**3 - 4*u**3)*(4 + 0 + 0).\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 720 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 676799312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1796 - -24. What is the hundreds digit of 48\/(-12) + (-6)\/(-1) - z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2724 + 2710 - 5434 - 2*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 3*b + 15. Suppose 0 = -0*v - 3*v - b. Put -2, -5\/3, v in decreasing order.\nAnswer: -5\/3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 739*y - 23 + 479*y + 38 - 15 to the form p*y + a and give p.\nAnswer: 1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 453821121*s**2*w**2 - 7316151*s**2*w - 4*w wrt w?\nAnswer: 907642242*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1189)\/(-27) - 23064\/622728?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 1499?\nAnswer: 1499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -67 - -94. What is the second derivative of 7*v**4 - 24*v - w*v + 2*v**4 + 9*v wrt v?\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 955721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -1162*l - 21012. Determine o(-18).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1\/6)\/b*b)\/((b*b**10\/b)\/b*b)*((b\/(b**(-2\/7)\/b))\/b*b)\/b**(-1\/3))**(13\/5) assuming b is positive.\nAnswer: b**(-4121\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11.07 - -11. Let f = -954.4 + 954.4. Let n = 71\/209 + -3\/19. Put f, z, n in decreasing order.\nAnswer: n, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -795342 times -0.1?\nAnswer: 79534.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 770 - 756. Solve -3*g = 4*g - s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*g - 15*g + 480 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 3 = -3*q, 2*q - 30 = -t - 37 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(4\/27)*u*u**(-8\/7))**(1\/10) assuming u is positive.\nAnswer: u**(1\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -392353227 by 189.\nAnswer: -2075943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxywxyyqqq. Give prob of picking 1 q, 2 y, and 1 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of -m**2 - 5*m - 1. Suppose -2*l + 4*k - 8 = 6*k, -36 = 3*l - 3*k. Calculate the least common multiple of i(l) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j + 85. Give w(35).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -128535.5 times -0.1547\nAnswer: 19884.44185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*i**2 + 4*i**3 + 50*i**2 - 27*i**2 + 2 + i to the form g + k*i**3 + m*i + h*i**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -k + 80 - 441, 2 = -2*k. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*z + 15 = 36*z. Let p be (z\/(-20)*-4)\/(9\/(-6)). What is the nearest to -59 in -0.2, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 AM and 4:04 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 24*j - 673. Calculate l(25).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 + -6. Let w = h + -4. What is the closest to w in 4, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4*w = -89, 5*l + 3*w - 142 = 21. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(7) - sqrt(28)*4).\nAnswer: -7*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1589\/6129 - 4\/(-54). Factor -g + b*g**2 + 0.\nAnswer: g*(g - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 2:53 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -3*k**2 + 42*k. Let z be u(14). Suppose z = 3*n - 11*n + 3472. Let x = -306 + n. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 367510781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**3 - w**2 - 3 + 3)*(40*w**2 + 72*w**2 - 26*w**2) - 4*w**5 + 3*w**5 - w**5 + w**5 + w**5 + w**5.\nAnswer: -85*w**5 - 86*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -878\/165 + 60\/11. Put -0.02, n, -1\/2, -0.03 in increasing order.\nAnswer: -1\/2, -0.03, -0.02, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00254624703 rounded to four dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1808.512 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*n - 1 - 1 + 0*n + 13*n - 10*n - 11*n.\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3*((-15)\/(-1) - -3). What is the units digit of 4\/18 + (-798)\/v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8207028, 8206983, 8206938, 8206893, 8206848, 8206803?\nAnswer: 8206758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 3*h**3 - 32*h**2 - 57*h + 47. Let i(l) = -l**3 + 16*l**2 + 28*l - 25. Let c(b) = -2*f(b) - 5*i(b). What is c(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 4 - (0 - (-2 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*k - 2*w + 10347 = 10685, -5*w = 3*k + 67 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 86 + 60 - 4037*u - 4044*u + 8070*u in the form g*u + b and give b.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12085631, 12085634, 12085637, 12085640, 12085643?\nAnswer: 12085646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -720783*z + 673. Let l(t) = 5359*t - 5. Determine 5*f(q) + 673*l(q).\nAnswer: 2692*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = q - 20, 4*c + 8 = -0*c. Suppose 0 = 4*d + 2*u + 456, -4*d = 6*u - u + 468. Let k = -67 - d. Calculate the remainder when k is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -6*l - 1. Let t(y) = y**2. Give j(t(g)).\nAnswer: -6*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - n**2. Let i be q(-2). Let l = 21 + -19. Suppose -l*m = i*u - 122, -5 = u - 2*u. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -295, -11.\nAnswer: -295, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 - 8*u - 32. Let d be i(11). Is 49293\/4 + d - (-55)\/(-44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 268 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qkapwamqm. What is prob of sequence wqmp?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4629 + 1839 = -62*u. Sort 1, u, -4, 4, -1.\nAnswer: -4, -1, 1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -12*t**4 - 4*t**3 - 4*t**2 + 17. Let i(s) = 24*s**4 + 7*s**3 + 7*s**2 - 33. Let b(l) = 4*i(l) + 7*j(l). What is the first derivative of b(q) wrt q?\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -247290 rounded to the nearest one thousand?\nAnswer: -247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 3*a**2 - 13*a - 3*a**2 + 1 + 5*a - a**2. Calculate the lowest common multiple of y(-5) and 26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - 0)\/(5 + -3 + -1). Let r(q) = 96*q**2 - q. Let l be r(s). Suppose l*v + 36 = 100*v. Solve 2*n = 8, 0 = z + 3*n - v + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9861854 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1302 - 1081. Suppose 0 = -t - 4*t + 65. What is the highest common factor of h and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79 + 99. Suppose 0 = -h*q + 14*q - 59400. What is q rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4308, -12566, -26326, -45582, -70328, -100558, -136266?\n\"Answer: g**3 - 2757*g**2 + 6*g - 1558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 - 11*m**2 + 10*m - 2. Let q be j(10). Let z(l) be the third derivative of l**4\/6 + l**3\/3 + l**2. Calculate z(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.02 - 1.98. Let o = -420372 + 420371. Let m be 3\/(-2)*(-4)\/9. What is the third biggest value in a, m, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8195246 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 smaller than 213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*d - 81*d + 0*d - 110 - 46*d + d**2 = 0 for d.\nAnswer: -2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 551 (base 6) in base 8?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of l**6\/240 - l**5\/40 + l**4\/16 - 13*l**3\/6 - 4*l. Let b(o) be the second derivative of a(o). Find s, given that b(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 9203*v. Let y(d) = 42*d. Determine y(i(s)).\nAnswer: 386526*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, 6, 48, 90, 132?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, 5, 33 in decreasing order.\nAnswer: 33, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of b**4\/3 + 20*b. Let q(p) = -2*p**2 + p**2 + 2*p**2. Give -a(j) + 2*q(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110.86 micrometers to kilometers.\nAnswer: 0.00000011086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(0 + sqrt(1216)))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28791, -57580, -86371, -115164, -143959, -172756?\nAnswer: -201555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*q**5 + 4239445*q**4*u**2 + 5*q**2*u**2 - 43*q*u**2 + 180*q*u - 2*u - 6 wrt q.\nAnswer: 720*q**2 + 101746680*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -3*x**2 - x. Let l(n) = -2*n - 202596. What is l(s(q))?\nAnswer: 6*q**2 + 2*q - 202596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8738.\nAnswer: 2, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.03  (b) 5  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141495?\nAnswer: 3, 5, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 22*g - 5. Let q be t(1). Let j be (q - 15)\/((-2)\/(-10)). Suppose j*r + 1063 - 3303 = 0. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 84657 - 48470. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -13371 + 1?\nAnswer: -13370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -37 in 1, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4155641951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(1*sqrt(108) + sqrt(108)))\/sqrt(9))\/(((-2*sqrt(396))\/sqrt(11) + sqrt(36))\/sqrt(9)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000040615 to seven dps.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 + 3*p**2 + 3*p - 5. Let f be n(-4). Let k = 131 - f. Find the common denominator of 125\/6 and 109\/k - 24\/(-108).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 353.6 or -7\/5?\nAnswer: 353.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 19 and -0.2.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + c + 12 = 0. Let o(n) = -n**2 + 4*n - c*n**3 + 7 - n + 0*n**3. What is the units digit of o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + i - 9 = 0, -4*l + l = i - 31. Suppose 0 = 5*d - d - 168. Calculate the remainder when d is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -37701 - 59?\nAnswer: -3775a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 95 = -23*h + 20*h, 0 = -2*r - 3*h + 55. Calculate the remainder when 39 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-44)\/(-6) + -7)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11300, 22626, 33974, 45344, 56736, 68150?\nAnswer: 79586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 2*t = 4, 0 = -6*n + n + 2*t + 18. Suppose -a - 4*s + 12 = -12, n*a - 3*s = 26. Solve 0 = -2*l - 4*j - a, 2*l - j + 4*j = -12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2 = -10, -4*s - 6*x + 17260 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/14)\/(((-13)\/6)\/(767\/(-177))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1442550 (base 6) in base 3?\nAnswer: -11020122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 96\/8 + -9 - 9 - 102. Which is smaller: z or -977\/9?\nAnswer: -977\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7613407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together 950 and 0.2.\nAnswer: 950.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 29*u - 7. Calculate the remainder when c(5) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnh when three letters picked without replacement from {n: 2, h: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1112 in -5, 55, -1\/7?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -784, -4, -5, 5, 1, 2\/11, -3\/4 in increasing order.\nAnswer: -784, -5, -4, -3\/4, 2\/11, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -10 and 514341679?\nAnswer: 514341689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7175170 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/1157 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 7, e: 1, d: 6}. What is prob of sequence iii?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33070060.\nAnswer: 2, 5, 1653503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2230 (base 7) to base 12\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4043441 (base 5) to base 15.\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -155546, -155408, -155066, -154418, -153362, -151796, -149618, -146726?\nAnswer: -143018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75220, 75212, 75192, 75154, 75092, 75000, 74872, 74702?\nAnswer: 74484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 370781 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(1\/5)*g**8*(g*g**(-3))\/g**(-2\/11) assuming g is positive.\nAnswer: g**(351\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*-3 - (-16)\/1 - 0. Let b(p) = -p**2 + 12*p + 32. Let u be b(w). Let x(r) = r**2 - 20*r + 24. Calculate the lowest common multiple of x(u) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.6 + -0.8. Let u = -0.2 - q. Let i = u - 4. Which is the third smallest value?  (a) 3\/5  (b) -0.4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - -1) + 83 - (5 - 1). Suppose -204 = -2*k - m. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of 0*k + 30*k**2 - 1\/24*k**4 + 0 + 0*k**3. Let o(z) = -2*z + 0*z - 4*z. Give j(o(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + x - 155 = -3*w, 4*w - 207 = -x. Let b = w + -107. Let c = b - -91. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 1 = 1. Let a(s) = 9*s - 5*s + s + i*s. Let h(b) = -2*b**2. Calculate h(a(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-36)\/(-104) - 3\/6. Let l = 0.3 - -0.2. Which is the nearest to -1?  (a) l  (b) y  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.7 times 363658?\nAnswer: 5345772.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 4*h**2 - h - 1. Let o(z) = 10*z**3 + 32*z**2 - 772*z + 8. Give -8*n(j) - o(j).\nAnswer: -2*j**3 + 780*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 10) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 841263 is divided by 75.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 47b1bb (base 12) in base 8?\nAnswer: 4331137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(162) - (-2*sqrt(162) - sqrt(162))) + sqrt(162) + -2 - 5*-1*sqrt(162)) + -2*(sqrt(162) + 1*sqrt(162))*2)*1)**2*-4.\nAnswer: -2608 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12\/11*r + 2\/11 + 18\/11*r**2.\nAnswer: 2*(3*r - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 7802*n**2 + 101431*n + 67. Determine k(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*o = -44 - 47 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61084178 to the nearest integer?\nAnswer: 7816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -26725 or -454335\/17?\nAnswer: -26725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.23 * -1874161.\nAnswer: -431057.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4416196703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 812 is divided by (-3600)\/(-39) + (-1024)\/3328?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/1*-5 + -3. Suppose -2*c = -c - q. Let h = c + -12. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/5))**(-4))**(1\/2)\/(t*t**(-1\/7)*t**(1\/7))**(-40) assuming t is positive.\nAnswer: t**(204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 748*u**3 + 1160*u**3 - 526*u**3.\nAnswer: 1382*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 w, and 1 p when three letters picked without replacement from ghhwdpog.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 243*g + 252*g - 667*g - 3 + 171*g.\nAnswer: -g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1639 - -1011. Let b = -114 - p. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 923145095?\nAnswer: 5, 47, 67, 58631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 12:17 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 111.64359 and 10?\nAnswer: 1116.4359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j + 1. Let i(g) = 24*g - 12. Calculate -2*i(m) - 44*r(m).\nAnswer: -4*m - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.5 - 60.5. Let t = 256.29686223 + -196.2968618. Let q = d + t. What is q rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 10, 5, -4, -17, -34?\n\"Answer: -2*w**2 + w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of f**4*m**2 + 12586*f**4 + m**2 + 3831 wrt f?\nAnswer: 4*f**3*m**2 + 50344*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -161\/120 and 7\/2290.\nAnswer: 27480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k**3 + 295*k**2 - 295*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*q = 56*q - 6068. What is the remainder when q\/1066 + 2260\/13 is divided by 55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43445.69 years in centuries?\nAnswer: 434.4569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 263 and 1071199.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -141 + 162. Calculate the remainder when n is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5101*t**4 + 431*t**3 - 3*t**2 + 832699808*t.\nAnswer: -61212*t**2 + 2586*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -9*d**3 + 55*d**2 + 2*d + 15. Determine h(6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 12*s + 3. Let h(c) = -15*c - 1. Let o(v) = -26*v - 3. Let p(i) = 4*h(i) - 3*o(i). Give 8*k(l) - 5*p(l).\nAnswer: 6*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1602 = -75*w + 57*w. What is the remainder when w is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5 and 67819?\nAnswer: 339095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from {t: 1, b: 2, l: 1, f: 4, k: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -0*q - 2*q. Let l = -46 - -61. Let v = q + l. Solve v*k - 2*p + 3 = 0, 4*k = -0*k - p - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99115 less than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -4*y + 12, -6*y = -5*f - 4*y - 6. Factor 0*j**3 + 0 + 0*j**2 + 2\/7*j**4 + 2\/7*j**5 + f*j.\nAnswer: 2*j**4*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-8)\/12)\/((-14)\/6))\/(269\/(-16947)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6504\/(-34146)*3*1\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 4) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 198508*i**4*n**2 - 3*i**3*n**3 + 726*i*n**3 + 127*i*n**2 wrt i.\nAnswer: 2382096*i**2*n**2 - 18*i*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 392251.6t?\nAnswer: 392251600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (1034514\/2340)\/(2\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f**5*f*f\/f**25)**19 assuming f is positive.\nAnswer: f**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4813, 4736, 4645, 4534, 4397, 4228?\nAnswer: 4021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -11*w**3 - 1249*w**2 - 8796*w + 221. Give p(-106).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n**3 + 500225*n - 500225*n.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00035194563 to six dps.\nAnswer: -0.000352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4288477327 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, -1, 1394 in descending order.\nAnswer: 1394, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 31 + 9 = 0. Let l be ((-16)\/y)\/(4\/10). What is the third derivative of 7*a**3 + 5*a**3 + 6*a**2 - 17*a**3 - 3*a**l wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95001*a**3 + 21162*a**3 - 23200*a**3.\nAnswer: 92963*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -138*v + 275*v - 136*v. Let n(m) = -49*m - 21. Let s(x) = -5*x - 2. Let r(f) = -2*n(f) + 21*s(f). What is l(r(y))?\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggwg when four letters picked without replacement from {g: 12, w: 6}?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by 35786451.\nAnswer: 13\/35786451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u + 29*u - 230 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x + 2. Let z = -13 + 12. Calculate n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17 and 6575.\nAnswer: 111775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(7 + 845\/(-117)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - 12. Suppose -n + 6*n - 65 = o. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1052.79 to the nearest 10.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -149, -606, -1367, -2432?\n\"Answer: -152*g**2 - g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*(-1)\/(4 + -2). Suppose w = -2*h - 2*h + 4. Let c be (h + -1)*2\/4. Solve m + 15 = -2*m - 4*a, c = -3*m + a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 + 6*f + 2. Let b be p(-3). Is -8 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2815482 or 2815477?\nAnswer: 2815477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/56 - (3141\/126 - 8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**0*q*q*q)**(-3)\/(q**(-2\/25)*q*q*q**19) assuming q is positive.\nAnswer: q**(-823\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 6*y + 7 - 60, 8*y - 3*y - 15 = -3*m + 28 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2*j - 4*z = 1052, 528 = 2*j - z. Let c = -244 + 94. Let u = c + j. What are the prime factors of u?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -123*k*t**3 - 7*k*t**2 + 3*k*t + 212*k - 93*t**3 + 146*t**2 - 33*t wrt k?\nAnswer: -123*t**3 - 7*t**2 + 3*t + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 6 - 6. What is the tens digit of (0 + z)\/(21\/(-28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 12 = r. Suppose -r*m + 4 + 16 = 0. Suppose -3*w + m = p, -3*p + 3*w + 4 - 1 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 2*y - 162, 2*q - 3*y = 3*q + 101. Let m = -66 - q. Solve -6 = -3*a - 5*h + 14, 0 = 5*a - 5*h + m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (29 - 29 + 8*y)*(y + 2 - 2) to the form r*y + z*y**2 + g and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*s - 52 = 85*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60 and 2324715?\nAnswer: 9298860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62132 is divided by 167.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 3*r + r + 110 = 0, 5*r = m - 67. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4\/41 - -103\/205. Let t = 7 - -3. Let z = -10.2 + t. Which is the closest to -1?  (a) z  (b) 6\/7  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -4*z**2 - 11. Suppose -5*v + 4*v + 6 = 0. Let w(p) = 2*p**2 - p + p + 5. What is v*s(r) + 13*w(r)?\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.08 + 4.92. What is the closest to -0.1 in 0.4, 7\/3, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1447\/78 - 239\/13. Let i(d) be the second derivative of -b*d**6 - 23*d + 0 - 20\/3*d**4 + 0*d**2 - 10*d**3 - 7\/4*d**5. Factor i(z).\nAnswer: -5*z*(z + 2)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16872 divided by 456.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -85 - -349. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 5*n = 751 - 726, -3*n = -s + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16185 is divided by 3709.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/35 and 27\/154?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 - 9*p**2 + 3. Let d be w(-9). Suppose -d = -2*f + f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -13. Suppose 2*z - o*y - 716 = 426, 2*z - 3*y = 1150. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.9031 + 29.2213.\nAnswer: 32.1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -0*w - 540. Let i = w + 476. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 0.5  (c) -1\/3  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9426 = 244*d + 4482 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10021333421304 + 1?\nAnswer: 10021333421310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 155580 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) -9\/113  (c) -0.1  (d) -4  (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mx when two letters picked without replacement from xxxmxxxmxx?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 - -9. Let x be (-362)\/t + (-4)\/18. Let m = -24 + 28. Solve -z + u + 9 = -0*u, x = 5*z - m*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -77*a**2 + 226*a - 11. Determine w(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*h + 54*h + 31 = -47 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 300 and 1700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-1)\/(-7)*(-980)\/(-140).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**3 - x**2 + x**2)*(1 + 8 + 5)*(0 - 1 + 4).\nAnswer: 42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 7 = -2*b - 455, -4*y + b = -893. Suppose 8*s - 2919 = -y. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 2*a + 4260 = 0, -d - d + 4255 = 3*a. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of s**7\/315 - s**6\/90 + s**2\/2 - 2*s + 46. Let y(q) be the second derivative of j(q). What is h in y(h) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 734 divide 3813864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2\/5 + 508069*j - 846782\/5.\nAnswer: (j + 846782)*(3*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus -159.8510485?\nAnswer: 154.8510485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5486.6 - 5487. What is the nearest to 1 in i, 2\/13, 0.09, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a kilogram in grams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 709120 to the power of 1\/2, to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - 3*c**2 - c - 1. Let h = 1 + -2. Suppose -5*a - 4*q = -0*q - 3, -7 = 3*a - 2*q. Let z be (1 - h)\/a + -1. What is x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 4*b = 116. Let z = -36 - b. Let q be 44\/1*20\/z. What is the greatest common factor of 99 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*1 - (-2940)\/(-700)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bjjj when four letters picked without replacement from {j: 10, b: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d**4 + 618*d**3 - 30225*d**2 - 163062*d - 200232 = 0.\nAnswer: -3, -2, 103, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 + 45*j + 3. Let k(v) = 1. Calculate 3*k(u) - x(u).\nAnswer: -u**2 - 45*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3729000.\nAnswer: 2, 3, 5, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 45\/8 of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 5*t**2 + 3*t - 41. What is the units digit of r(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*((sqrt(2736) - (-1 + sqrt(2736) + -5)) + 0 + (-2 + (sqrt(2736)*-1 - sqrt(2736)) - sqrt(2736)) + (2*(0 + sqrt(2736)) - sqrt(2736))))**2.\nAnswer: -3072*sqrt(19) + 175360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 3*m = 5, 5*s - 3*m - 35 = -8*m. Solve 0 = -f - s*i - 7 - 0, 0 = 2*f - 2*i + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p + p - 5*p + 3*p - p - p + (-3*p + p + 3*p)*(1 + 0 - 2) - 2*p + 0 + 0 + (4 - 5 - 1)*(2 - 2 + 4*p) - 3*p + 3*p + p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -s, 0 = -3*t - 3*s + 115 - 109 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in thirteen eighths of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((3 + sqrt(1584))*5 - (1 + sqrt(1584) + 3)))**2.\nAnswer: 16896*sqrt(11) + 407440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0742 + 3.9258. Which is smaller: s or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (62\/(-62))\/(1\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9 - (-4 + (-2 - -4))) + 3. Let o(i) = i**2 + 3*i - 16. Let s be o(-8). Let u be (s\/(-36))\/(t\/198). Calculate the highest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -48.24 + 6.04. Let z = f - -42.20001565. What is z rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 5*c**2 - 55*c - 130 = 0.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(-2) + 1\/2. Suppose 0*h - 5*h + 15 = y. Let w(x) = x + 3. Let o be w(0). Is h bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1305 - 1308. What is the nearest to 0 in -4, -5, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13071200 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 118 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 36\/(-16)*(14 + 2). Let w = -22 - -82. Let j = s + w. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9 and 159265269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.2  (b) -26  (c) 5\/2  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i. Let q(u) = 2540191*u - 9. Give y(q(t)).\nAnswer: -5080382*t + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 88 + -32. Suppose 2*s = -6*s + z. What is the smallest common multiple of s and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/15 + (-24)\/(-10). Let w(c) = -2*c + 2. Let s be w(-2). Solve -5*m - s - 7 = -4*h, d*m + 5*h = 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 73688 - 42244. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus -0.26319151917?\nAnswer: -0.13680848083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -6*i**3 - 2*i**2 - 3*i - 2. Let m be u(-2). Suppose m = 4*c - 0*c. What is the highest common divisor of 99 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 6. Suppose s*x - 4*c - 18 = 0, 0 = -5*x + 2*c - 5*c + 4. What is v in -2*v**x - 125*v + 125*v = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -57*x + 7. Is g(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1369401 to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-28 - -25)\/((-6)\/(-4) + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 37\/6 - 2\/12. Suppose 9*k - 12*k = -36. What is the lowest common multiple of 20\/r*(-90)\/(-75) and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -144 - -146. Solve -1 = n - x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-11))\/((-16)\/((-288)\/27))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 130 - 111.36. Let j = b + -19. Round j to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3627497187?\nAnswer: 3, 23, 61, 287281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + 36446?\nAnswer: 36449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -2*b**3 + 28740*b**2 - 172386*b + 258552 = 0.\nAnswer: 3, 14364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -244*r + 2. Let h be p(-12). What is h rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 6 = 2, -3*w = -q + 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 462788820 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -29 - -4 - (26 + -59 - -19)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 8 = -5*p - 7, -9 = 3*p. Suppose 4*c + 40 = 5*k - 35, u = -k - 5*c - 14. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 2*u - 2. Calculate o(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*s**5\/2 + 147*s**4\/2 + 1347*s**3\/2 + 3597*s**2\/2 + 1197*s = 0. Calculate s.\nAnswer: -38, -7, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8 - -5) + (-40)\/(-12))\/(1\/2013). What is v rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 26468, -5 in ascending order.\nAnswer: -5, 11, 26468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.06  (b) 2\/7  (c) -0.1  (d) -7  (e) -3\/47  (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00972022424 rounded to 6 decimal places?\nAnswer: 0.00972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 67789926*l**3 - 28379124*l**2.\nAnswer: 406739556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -74 + 70.04. Let q = 0.04 - j. Let k = -1\/302 - 299\/906. What is the nearest to 1 in q, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 8. Let h be (4\/(-6))\/(4\/(-18)). Suppose -x*a - 4 = -h*a. Let v(p) = -p**2 - 3*p - 2. Determine v(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z**(-2\/5)*z))\/z*z**(-1)*z)\/(z**(1\/3)*z*z*z**0*z) assuming z is positive.\nAnswer: z**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 1 = -3*q, -2*q = -2*y - 6*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0, 309, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c**4 + 5*c + 2579295*c**2 - 2579295*c**2 + 89*c**3 as z*c + b + y*c**4 + n*c**2 + o*c**3 and give o.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4082338?\nAnswer: 2, 13, 157013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 c when four letters picked without replacement from {v: 4, w: 5, c: 5}.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -17*o - 399. Let b = o - -21. Sort 5, 7, b in decreasing order.\nAnswer: 7, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) - -2*sqrt(80))\/(-1*sqrt(144)).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -61a (base 15) to base 9\nAnswer: -1787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 31992*m**2 + 234*m. Let b(t) = -12797*t**2 - 90*t. Give 26*b(k) + 10*v(k).\nAnswer: -12802*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/5*(-115)\/(-1173)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 5*y + 17. Let n = 8 - -15. Suppose -l = -0*l + r - 7, -2*l + r + n = 0. What are the prime factors of w(l)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 5*f + 135 = -9*f, 0 = -5*f - 25. Solve 5 = -22*x + g*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d + 150 = 13*d. Let z = d - 13. What is the lowest common multiple of 20 and 465\/6 + z\/(-8)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 5*w - 3. Let g = -6 - -3. Let r be (0 + 2)*g\/(-2). Let z(s) be the second derivative of -3*s**3\/2 + 5*s**2\/2 + s. Determine r*z(q) + 5*p(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**2 + 2*b - 2. Let f(v) = 35*v**2 - 25*v + 25. Suppose 5*y + 125 = 8*m - 12*m, m - 75 = 3*y. Give y*r(w) - 2*f(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 4*k + 9*k + 2.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 16 = -h, -2*h = -3*c - 0*h + 4. Suppose c*m - 2*w = -0*w + 640, -2*m = w - 320. Suppose -15*b = -10*b - m. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538677 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3\/9*0 - -51 is divided by ((-6)\/14*-3)\/((-114)\/(-532)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*19.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 3*i + 6, -i + 17 = p + 3*p. Which is the second biggest value?  (a) 0.1  (b) p  (c) -5\/3  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 - -19. Suppose 5*k - 22 = -0*k - 3*g, 0 = -y*k + 3*g - 6. Let r(h) = -6 - 3 + h**2 + 2 + k + h. Give r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -130872, 0 in decreasing order.\nAnswer: 3, 0, -130872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (8\/(-40))\/((-1)\/15). Find j, given that -59*j**3 + 33*j**3 - n*j**4 + 29*j**3 + 3*j**2 - 3*j**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 542 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6293, 9762, 13233, 16706, 20181, 23658?\nAnswer: 27137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 times -0.603?\nAnswer: 3.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12014 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 197*0.029.\nAnswer: 5.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 318 - 306. Let u(w) = -w**3 + 11*w**2 - 4*w + 5. Let d be u(8). Suppose d = -4*k + 9*k. Calculate the remainder when k is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 42245 + 1221?\nAnswer: 43510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-91)\/65*12\/21*(-17)\/(-68)*370?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 divided by -12.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 + -6. Suppose 0 = m*p - 6*p + 18. Let j be (p\/6*4)\/2. Solve -a - 2*a - j = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/6, -3\/8, 0.1, -3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -25 + 12 + 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of r**7\/70 + r**6\/10 + r**5\/4 + r**4\/4 - 2*r**2 + 64*r. Let t(q) = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 9:52 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.92693 and 5.\nAnswer: 4.07307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5495975 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 u when three letters picked without replacement from ufuffppfffuzj?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1617408*r**2 - 1992756?\nAnswer: 3234816*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 16465.1375745 - -0.44\nAnswer: 16465.5775745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1495 is divided by 81.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17.07 + 17. Let u = d + -3.93. Let t = 0.59 - 0.29. What is the second biggest value in t, -3\/4, u?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p\/((p*p*((p**(-2\/39)*p)\/p)\/p)\/p))*((p*p\/p**(-1\/5)*p)\/p)\/p*p**(-1\/13)\/(p\/p**(-7)) assuming p is positive.\nAnswer: p**(-1351\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 81, 465, 1203, 2289, 3717, 5481?\nAnswer: 7575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17474 is divided by 603.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/4)\/(((-310)\/180)\/31).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**3 - 23*v**2 - 53*v - 33. Let l be z(15). Suppose 116 = 2*p - 50. Calculate the greatest common divisor of l and p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 4*f + 2 = 0, -2*o - f + 6*f - 14 = 0. Let p be 10\/4*(-4)\/o. Let h(g) = 2*g + 1. Let x(d) = 4*d + 3. Give p*h(t) - 2*x(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1113012 (base 4) in base 8?\nAnswer: 12706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/387 and 76\/225.\nAnswer: 9675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s + 2*s = 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -805, -780, -739, -682, -609, -520, -415?\n\"Answer: 8*r**2 + r - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 49040541 or 49040540?\nAnswer: 49040540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27 and 1431.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -20*1*(-2)\/4. Let b be q\/(-4)*12\/(-10). Suppose 4*p = 4*u - 45 - 7, b*u + 3*p - 21 = 0. Solve 0*g + 2*g - u = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 1*((-3*sqrt(1053))**2 - (5*sqrt(156))\/sqrt(12)).\nAnswer: -5*sqrt(13) + 9473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-18 + (-4 + -1 - (0 - -3))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z**3 - 7*z**3 + 2*z**3 - 61*z**3.\nAnswer: -69*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(2\/5)\/j*j))\/(j\/j**12)*j**(1\/13)*j**10 assuming j is positive.\nAnswer: j**(1409\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5871 + 12890. Suppose 4*v + 5*i - 5608 = 0, -5*v - i - 3*i = -b. Is ((-2)\/(-3))\/(14\/v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 4, -0.2, -3, 78 in descending order.\nAnswer: 78, 4, 3\/4, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -108*n**4 - 14972*n**3 - n**2 - 8971922*n?\nAnswer: -1296*n**2 - 89832*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (0 + 4)) + (-7 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -856.955*97.\nAnswer: -83124.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes after 9:38 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 6*m**2 + 296*m + 98. Let c be f(-49). Sort 3\/4, -9, -0.2, c in decreasing order.\nAnswer: 3\/4, c, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 26800 in descending order.\nAnswer: 26800, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((-2*(1*sqrt(17) + 1) - (1*sqrt(272) + -4))*2)**2.\nAnswer: -96*sqrt(17) + 2462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 4) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45 - 52) + (-10)\/(1\/(-12)*(-56)\/(-21)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bqb when three letters picked without replacement from qbqbjqqjqjqq?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 2 + 0)*(-2*x + 1 - 1) + 2*x - 879*x - 202*x + 3*x - 2*x - 3*x)*(1 + 4 - 1).\nAnswer: -4316*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 0, 10.\nAnswer: -5, -3, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*h**3 + 17789705*h - 17789705*h.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 3*x = -2, 5*m = -4*x + 32. Suppose -m*i = -3*i + 93750. Let r be 0 - -2048*i\/(-2). Round r to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 8 = -5*w. Suppose 5*d = -2*x + 2, -3*x - w*d - 5 = -2*x. What is the remainder when 42 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/106 and 6\/3551?\nAnswer: 7102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 13817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.22 times -4106033\nAnswer: -903327.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*a**2*z**2 + 219029*a*z - 275*z**2 - 140*z - 2 wrt a?\nAnswer: -6*a*z**2 + 219029*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117 = -7*l - 348 - 63. Let x = -366\/25 + 3257\/50. Calculate the common denominator of l and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 387 is divided by 150.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*p**5 + 45*p**4 - 145*p**3 - 405*p**2 - 220*p = 0. What is p?\nAnswer: -11, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 108558, 108559, 108560?\nAnswer: 108561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 29094537 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3 + 3317*b**2 + 140893*b + 621415.\nAnswer: -(b - 3359)*(b + 5)*(b + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 336*f. Let p(k) = k**2 - 20*k + 63. Let v be p(4). Let a(c) = c**2 - c - 1. Let d(o) = -2*o**2 + o + 1. Let q(l) = v*d(l) - a(l). Calculate b(q(y)).\nAnswer: 336*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -68, -130, -212, -320, -460?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of -n**5\/20 + n**4\/3 + n**3\/6 - n**2 - n - 44. What is t(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.031 times -0.0495?\nAnswer: -0.0015345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17 or 264?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 10) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -10  (b) -0.06  (c) -3  (d) -1\/7  (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162258 is divided by 380?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/(-6)*-2 + -17. Let w be (-75)\/o + 1\/4. Solve 2*b = -4*t + 2*t, w*t - 5*b - 27 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3*d = 13, 18 = -4*d - 2. Let y be ((-6)\/(-4))\/(-3)*-6. Solve -7*b + 3*b - m = y, l*m = 4*b - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 2073541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 j, 1 s, and 1 r when four letters picked without replacement from {s: 3, j: 1, r: 3, i: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qyppypuqnncq. Give prob of sequence qy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 3 + 3. Let q = -1 + y. What is the least common multiple of q and (0 - (-1 + -8)) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -145.9999928 + 146. Round g to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 510 = 7*x + 888, 165 = -5*x - 4*m - 105 for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jtbtjtjrtjbtbbbjbjj. What is prob of picking 1 j, 1 t, and 1 r?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 92639?\nAnswer: 833751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -9. Let n(o) be the first derivative of o**2\/2 - 3*o + 13. Let d be n(y). Solve 3*r - 25 = -d*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 314 divide 17672861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -77*g + 7. Let z(h) = -38*h + 4. Let b(c) = 4*w(c) - 7*z(c). Let s be b(-1). Let o = s + -30. Solve 7*a - 4*a - 2 = -4*f, 4*a = 4*f + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k - 2*k + 4*k - 40*k**3 - 2*k.\nAnswer: -40*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 223702 is divided by 1017.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -3*r - 5*h, -h = -539*r + 533*r + 29 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1357\/11 - -123. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -26*f + 8*f + 9*f + 7*f. Let p(i) = -14*i + 8. Let k(l) = 5*l - 3. Let y(c) = 8*k(c) + 3*p(c). What is x(y(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g + 15. Let u = 174 - 120. Let j = u - 41. Let d be l(j). Solve -d*o - 4 = -6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 381 != 381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 15*t**2 - 36*t - 40. Let k be p(-17). Let y(o) = 39*o**2 + 10*o + 16. Is y(k) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 606 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*m + 21*m - 6*m + 574*m**2 - 3*m + 3*m to the form z*m + o + n*m**2 and give n.\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2204 + 2142 - (-1 + -93).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 2*k - 48. Is 4 a factor of k*(-2 + 16\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28053722 is divided by 99?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 - 6*g + 10. Let k be f(6). Let r be ((-25)\/15)\/(k\/(-12)). Suppose 3*d - 15 = r*d. Solve -4*h - 5 = d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 212\/20 - 11 - (-72)\/(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1144365 divided by 465.\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*z - 9*z - 12*z)*(18*z + 85*z - 3*z) to l*z + n + r*z**2 and give r.\nAnswer: -1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133490*b**2 + 11755*b**2 + 95747*b**2 + 57802*b**2.\nAnswer: 298794*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -1\/4, 29\/4, 3307.5, -3\/4, -0.5, -0.2, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 74 - 39 - 23 = -4*r, -r - 10*d = -41 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/1)\/((-30)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6491849068 - -291.81.\nAnswer: -6491848776.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 7 = 1. Solve -6 = -5*t + t - u, -4*t + 4 = w*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1327 - (2 + -8 + 1). Suppose 13*o = 397 + y. Let q = o + -94. Calculate the lowest common multiple of q and 21.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/59247 + -2725228\/3969549. Let b = p - -4\/201. Sort -8\/5, b, 4, 2\/3 in decreasing order.\nAnswer: 4, 2\/3, b, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8029 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i**3 + 106*i**2 + 107*i + 110. Determine u(54).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 163852 and 123229308?\nAnswer: 12604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 709, 801, 955, 1171, 1449, 1789, 2191?\nAnswer: 2655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t**2 - t - 4. Let w be q(3). Let u = w - -62. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 365586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-w**3 + 2*w**3 - 3*w**3)*(5406 - 10799 + 781*w + 5399) to o*w + v*w**2 + m*w**3 + r*w**4 + d and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 5*n - 7. Let y(r) = r - 1. Let u(o) = -t(o) + 3*y(o). Let d = -17456 + 17459. Calculate u(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.06 + 0.06. Let s = 2918991 - 2918990.88000088. Let n = c - s. What is n rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 34.83 - 4.73. Let q = 25.1 - h. Sort 8, q, -3\/5.\nAnswer: q, -3\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1331)*2 + -1)*-5 + -1)**2 - (sqrt(6336)*2)\/((sqrt(36) + sqrt(144) - sqrt(36))\/sqrt(9))*6.\nAnswer: -952*sqrt(11) + 133116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6542018 a multiple of 3478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (108*z**4 + 52*z**4 + 19*z**4)*(3 + 1 - 6) to q*z**3 + t*z + g*z**4 + n + k*z**2 and give g.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2578 + -2578. Solve 80 = -40*c - o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16703*n - n**2 + 8348*n + 8355*n + 0*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (8 - 6 - -1346) + (-4)\/(-1) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/5  (b) 5  (c) -364\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1549647 and 81?\nAnswer: 13946823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 12*s + 99. Let v be p(-9). Calculate the least common multiple of (-420)\/v - (-75)\/(-45) and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-177)\/295 - (-181521)\/(-15). Let d(s) = -300*s**2 + 5*s + 3. Let h be d(-3). Let x = q - h. Round x to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*q + 0 + 0 + (4*q - 2*q - 4*q)*(-3 + 6 - 1) + 0*q + 3*q + 2*q + 0*q + 3*q - q as u + z*q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -772 - -768. Sort f, -89, 1, -1\/6.\nAnswer: -89, f, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 656 = 409*r - 450*r for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -y**5\/60 + 5285*y**2. Let m(o) = 867*o. Give a(m(g)).\nAnswer: -751689*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, g: 1, b: 1, h: 2, x: 2}. Give prob of sequence bgh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 526134 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x + 2*x**5 + 0*x + (x**3 + x**3 - x**3)*(-4 + 4 - x**2) + (x**2 - 4*x**2 + 2*x**2)*(8*x**3 + 0*x**2 + 0*x**2) - 70*x**5 - 126*x**4 + 126*x**4.\nAnswer: -77*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2 - 2)*(-29*q - 30 + 8 + 15 + 9) in the form d*q + z and give d.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7770200 rounded to the nearest ten thousand?\nAnswer: 7770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 39, 36, 19?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6344578 divided by 3.\nAnswer: 6344578\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/203 and 95\/18921?\nAnswer: 548709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 - 4.4. Let p = 0.525 - o. Let x = -0.1 - p. Round x to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v + v**3 - 83909*v**2 + 84225*v**2 - 3*v.\nAnswer: v**3 + 316*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/((y\/(((y\/y**(1\/4))\/y)\/y))\/y*y))**47*(y**(-1))**(-43))\/((y**3*y*y**(-3))\/((y*y**5\/y*y)\/(y\/y**(-2)*y))) assuming y is positive.\nAnswer: y**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - 2*m + (0*m + m - 5*m)*(-2 - 1 + 5) + (1 - 1 - m)*(3 - 1 - 1).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2 + -0.4. Let m = 0.7 + y. Let p = 4 + -4.3. Sort 0.4, m, p.\nAnswer: p, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -123 at least -377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -18*f - 13. Let v = -2421 - -2424. Determine b(v).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 549, 1103, 1657, 2211, 2765, 3319?\nAnswer: 3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12254214997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g + 7. Let l(t) = 1 - 2 + t - 2*t. Let v be l(5). Let r be w(v). Calculate the greatest common divisor of r and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51098.94m to millimeters.\nAnswer: 51098940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 5*u - 0*u + 320, -4*z + 1196 = u. Suppose 0 = 9*g + z + 276. Let v = -62 - g. Solve -v*x + 6 - 16 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1733289676 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-4*sqrt(98)*3 - -4*((sqrt(98)*2 - sqrt(98)) + sqrt(98)) - 5*5*2*sqrt(98)*-2)**2.\nAnswer: 903172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u + 15 = 16*u. Suppose -50 = -r + u*o, -4*r + 250 = r - o. Calculate the highest common factor of 100 and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6184676 is divided by 817?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 12*d - 58. Suppose -g - 1 = -62. Let q be g\/9 + 6\/27. What is the greatest common factor of d and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of -23*u**5\/20 - 83*u**4\/12 + 9*u + 5. Find the third derivative of d(y) wrt y.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.03 * -55777.8.\nAnswer: -1673.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 9 = 6*j. Which is the nearest to -8?  (a) j  (b) 0.3  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gegqgds. What is prob of picking 1 s and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -56 + 96. Calculate the common denominator of 51\/8 and (2\/o)\/(12\/1770).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 67716 + -10991. Let f = 98370 - a. Is f 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 -2, -9\/4, -3\/2, -8?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 = f + 2*f. Let w = 0 - -3. Let t = f - w. Solve -4*z = -t, 0*z - 1 = -4*y - z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 6 = -2*x. What is the highest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4658 + 4937. Which is smaller: 4\/7 or d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3424.2 + 3424. Let g = 2 + -2.03. Which is the third smallest value?  (a) j  (b) 0.3  (c) g  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -6*b - 1. Let r = 48 + -49. Let c be u(r). Suppose c*f + 2*q - 31 = 0, q + 13 = 5*f - 24. Are f and 7 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/18 and -33\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 138 - 139. Put -22, a, 5 in decreasing order.\nAnswer: 5, a, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 1697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-4602)\/(-117))\/(854\/1281)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 96\/15 - 10\/25. Let f be 37\/(-7) + c\/21. Let b(p) be the second derivative of -p**3\/3 - 7*p**2\/2 - p. What is b(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4 + 36*j**3 - 192*j**2 + 256*j.\nAnswer: -2*j*(j - 8)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44560196 - 215*y**3 + 44560196.\nAnswer: -215*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 183 - 175 = -4*z. Let t(l) = 3*l**2 + 11*l - 1. What is t(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-240)\/54*-9*(-11)\/495.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 12*v**3 + 2*v**2 + 5*v - 6. Let y be (10\/4)\/(42 + (-1975)\/50). Determine q(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*b - 31*b - 38*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3a - -a?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - -1) + (-15)\/(-5). Suppose -j*z + 44 = 2*u, 0*u + 14 = z - 3*u. Let d(c) = c**2 - 5*c - 3. Calculate the remainder when z is divided by d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000262748355 to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 4*w**2 + 151*w + 46. Give m(-37).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 22043, -22, -5 in descending order.\nAnswer: 22043, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 689*u + 15363 + 5567 = -221*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -648*r**4 - 4*r**3 - 597*r - 16. Let b(p) = -649*p**4 - 5*p**3 - 597*p - 20. Let c(h) = 4*b(h) - 5*l(h). What is the second derivative of c(s) wrt s?\nAnswer: 7728*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5585 + 2*t - 5579 - 5584 + 16748.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -0.439.\nAnswer: 0.439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -3*sqrt(1008) + 0)*-4 - (-1*(4 + sqrt(1008) - sqrt(1008)) - (4 + sqrt(1008)*1))**2.\nAnswer: -1056 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 120220112211221 (base 3) in base 12?\nAnswer: 29b8a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30862669.\nAnswer: 19, 1624351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-38)\/664*(-88)\/418?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0803237us to nanoseconds.\nAnswer: 80.3237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 9912, 13107, 18432, 25887, 35472?\n\"Answer: 1065*d**2 + 8847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 1 + 7 = 4*n, 0 = 3*z + n + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (47 - 13) + 9 - 60 - (-1 - 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 3*c**2 - 4. Let t be b(3). Suppose 5*h - 2*x = 32, -x = 4*h - 0*x - t. Suppose -h*r + 87 = -3*r. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26629452 is divided by 364787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2987 = 4*u - 8959. Let f = u + -14871\/10. What is the common denominator of f and 27\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 162 - 58 = -5*o, 0 = -5*h. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74749 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101001 - -1001?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.15 * 4.7\nAnswer: 0.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -172*f**3\/5 - 2916*f**2\/5 + 3232*f\/5 - 144\/5 = 0.\nAnswer: -18, 2\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 16, 232 in increasing order.\nAnswer: -3, -2, 16, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -12141252 divided by 2?\nAnswer: -6070626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -11679.07 and 5751123.\nAnswer: 5739443.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 = 2*t - 0*f - 4*f, 5*t = -2*f + 536. What is the highest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -34\/1612055 and 107\/7106?\nAnswer: 602908570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i - i - i - 6 + i. Let g be o(6). Let t be 4\/(2\/((-2)\/(-7))). Is g greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 614 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 5*r**4 + 26*r**3 + 13*r**2 - 8*r. Let q(f) = -f**3 - f**2. Let k(s) = a(s) + 3*q(s). Factor k(c).\nAnswer: c*(c + 1)*(c + 4)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(11))*5 + 1 + sqrt(396).\nAnswer: -9 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/2 - (-117)\/18. Let g(j) = 2*j - 16*j + k*j + 7*j. Let p(s) = 31*s**2. Calculate g(p(r)).\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i - 4*n - 2080 = -13*i, -i + 2120 = 4*n. Calculate the greatest common factor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -192*g + 4. Let t(b) = 28696*b - 7. Determine t(q(l)).\nAnswer: -5509632*l + 114777","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 20108 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - x - 7 = 0, 2*x + 0 = 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -96 + 89. Let n(d) = d**2 + 3*d - 13. Let s be n(m). Let q(c) = s*c - 4*c + 7*c. Let w(b) = -2*b. Give q(w(p)).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-3))\/(-5*2\/45)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bw when two letters picked without replacement from bzfrxwbx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2184705*g**3 - 3*g**2 - 187122 wrt g.\nAnswer: -13108230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 40932286 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 37 - -1327740?\nAnswer: 1327777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/519 or -1?\nAnswer: -2\/519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56\/9 - -746\/117. Let a = -564707\/9 + 62843. Let q = 98 - a. Put 0, 9\/5, q, l in ascending order.\nAnswer: 0, l, q, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -r - 3*r. Let q(s) = s**3 - 2*s**2 - s - 1. Let c be q(r). Let k(o) = -o**2 + 6*o - 6. Let l be k(c). Put 4, 0, l in descending order.\nAnswer: 4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i**(14\/5)))\/(i\/i**(-7\/2)) assuming i is positive.\nAnswer: i**(-73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 2*c = -3*l - 2, -5*c - 16 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 563, 493, 381, 233, 55, -147?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 4, k: 2, r: 3, b: 6, m: 4, h: 1}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*h**3 + 3*h**2 - h**2 + 0 + 2 + 4*h**3 to the form u*h**2 + b*h**3 + v*h + r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 2 = -s, 2*s - 22 + 8 = 3*x. Suppose s*c - 19 = 101. Let m(z) = 12*z - 1. Calculate the remainder when c is divided by m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 640.12 - 640. Which is the second biggest value?  (a) 8  (b) v  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence anh when three letters picked without replacement from thhhtkhna?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1794*x**3\/7 + 5487*x**2\/7 - 3903*x\/7 + 30 = 0. Calculate x.\nAnswer: 35\/598, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/41)*y)**(-2\/45)\/(y**(-4))**(-33) assuming y is positive.\nAnswer: y**(-243626\/1845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1636098 - -0.033.\nAnswer: -1636097.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 40 = -637*k + 636*k, 4*k + 224 = -4*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -256.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -10814732?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 349904 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = -16*f + 64 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (8 - (7 + (-1 - 5))) - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(6\/(-5)))\/((275825\/(-1496))\/(-295))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 10, -22, -86, -188, -334, -530, -782?\n\"Answer: -t**3 - 10*t**2 + 5*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1101 (base 2) to base 12\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 60\/(-70)*(-4872)\/72. What is the nearest to 2 in 5, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 189900 to the nearest 1000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 175*j**2 - 2*j - 1. Let y be q(-1). Let v = y + -499\/3. Calculate the common denominator of v and 83\/12 - 2\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -186?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/4))**(10\/7)\/(c*c*c*c**(2\/3))**(-1))**(2\/75) assuming c is positive.\nAnswer: c**(169\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.166048ml to litres.\nAnswer: 0.001166048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence it when two letters picked without replacement from ttitttttttttttitttt?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 602 and 140.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 - 9. Let m(i) = 0*i**2 + 3 - s - i**2 + 5 + 7*i. Is m(7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 4*u = -20, l - 4*u = -2*l + 6. Calculate the remainder when 44 is divided by ((-1)\/l)\/(5\/150).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 1. Let i be j(1). Differentiate -3*q**4 + q**2 + 3 + i*q**4 - q**2 wrt q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000012198 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(17 - -4) + (-26676)\/630. Which is greater: -42 or o?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = n + a + 5, 0 = 3*n + 4*a + 25. Let c be (-4)\/n*5\/2. Let k = -602\/5 - -120. Put c, k, 2 in decreasing order.\nAnswer: 2, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2160, -2162, -2164?\nAnswer: -2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (78540\/(-12903))\/(28\/322).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1147237068 to the power of 1\/3, to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 11:15 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + -19. Suppose -2*j = 5*q - 27, -2*q + j + 6 = a*j. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -2*x - 8. Let r = x - 4. What is the units digit of -6 + -2 + r - -96?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -31, -0.4, -1320, -79?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 w, and 1 q when three letters picked without replacement from jwqjkgg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -7.7*-385.64\nAnswer: 2969.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17402 and 467594?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20295.92 + -20296. Which is the second biggest value?  (a) 2  (b) 19  (c) 1  (d) -1\/3  (e) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79, -120, -179, -250, -327, -404, -475, -534?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 8*v - 2. Let l(k) = -k. Let q(d) = h(d) - 3*l(d). What is the units digit of q(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 37 = -3*p, 0 = -8*p + 10*y - 15*y + 107. What is the highest common divisor of p and 8540?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j - 3 + 3*j**2 - j**3 + j**2 + 1. Let z be h(3). Let p = -2 + 2. Sort p, 5, z in ascending order.\nAnswer: p, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2690 - -2721. What is the remainder when 148 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b + 4*b - 3*b + 11.\nAnswer: -2*b + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 181833 + -118627. Calculate the greatest common factor of 22 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a century in years?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cpr when three letters picked without replacement from {c: 1, p: 2, s: 7, r: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 13 = 2*o, 1035*q + 21 = 5*o + 1036*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 3)*(2 + 3 - 2)*(-t + 0*t - 2*t)*(1 + 2*t - 1) in the form v*t**2 + j + a*t and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**4 + 160*q**2 + 3 + 400*q**2 - 772*q**2 + 0 to n*q**3 + g*q**2 + a*q + j + t*q**4 and give g.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1248814, 1248816, 1248818, 1248820?\n\"Answer: 2*o + 1248812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 206656913.8 to the nearest 1000000.\nAnswer: 207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -2*u**3\/13 + 4*u**2\/13 + 30*u\/13 = 0?\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 156 + 33. Let y = k - 58. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**4 - 15*l**3 - 150*l**2.\nAnswer: 3*l**2*(l - 10)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 252 * -13813\nAnswer: -3480876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4868.838 + 4880. Let q = 0.262 - n. What is q rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**3 + v**2 - v - 2. Let a(b) = -2*b**3 + 2*b**2 - 2*b - 3. Let n be 1 - (-1 + (-4)\/4). Let i be (-32)\/14 - 6\/(-21). Calculate i*a(d) + n*r(d).\nAnswer: -2*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31638635.\nAnswer: 5, 7, 331, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -327*v**6 - 4*v**3 + 3358*v**2.\nAnswer: -39240*v**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -1. Let r be -3 + 0\/(-4) + 24. Let c = 21 - r. What is the closest to q in c, -1\/2, -1\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.27 - -2.17. Let j = r - 1.938. Let m = -0.037771 - j. What is m rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33132 + 47132. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*o**4 - 52*o**2 + 129.\nAnswer: 8*o**3 - 104*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -38*g - 118. Let h be u(-3). Sort h, -0.2, 3, 1\/4 in descending order.\nAnswer: 3, 1\/4, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 10}. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 9, v: 11}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 < 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54731968.\nAnswer: 2, 855187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 w, and 1 o when three letters picked without replacement from {c: 1, h: 1, f: 1, s: 1, w: 2, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1, 37, 75, 115, 157?\n\"Answer: y**2 + 33*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 7\/23 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 7*t**2 + 7*t. Suppose 2*k - 3*x - 356 = 0, 13*k - 8*k = 2*x + 879. Suppose -370 + k = -5*r. What is the lowest common multiple of g(-5) and r?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/112*(-12256)\/(-2298)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**3\/9 + 4670*w**2\/9 - 891316*w\/3.\nAnswer: -2*w*(w - 1329)*(w - 1006)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -0.2, -2, -1\/3, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 8. Let b be 2*(3 + (-1 + -2 - -1)). Suppose 0 = -b*c + z + 44, -3*z + 20 = c - 2. What is the smallest common multiple of s and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/19)\/(w\/(w**4*w)))\/(w*w**(-8))**(1\/4) assuming w is positive.\nAnswer: w**(445\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 + 40 = 4*c. Suppose -3*f = 3*b - 12, -4*f - 16 = -5*f - 4*b. Suppose f*r - 126 = -6*r. What is the highest common divisor of c and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -348 = 103*r - 78 + 39 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 415.5477 years?\nAnswer: 0.4155477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 176739908267 less than -0.2243?\nAnswer: -176739908267.2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*i - 3*i + 2*i)*(-4 + 7449*i + 8 - 7280*i) - i - 2*i**2 + i.\nAnswer: 843*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5258*x - 5261*x - j - 41, 5*x - j = -71 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 AM and 5:16 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 5*c**2 + 2*c - 4. Calculate u(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 11101010 (base 2) to base 15\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c**2 - 23*c - 21. Suppose 3*s = -2*m - 35, -4*m - 15 = -4*s + 5. Let a be i(m). Let l(g) = -g**2 + 10*g - 3. What is l(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0*-2*2\/8. Suppose 2 + r = 4*n + 2*p, 7 = 4*n - 3*p. Let w = -2 + n. Which is the closest to w?  (a) -1\/3  (b) 1\/7  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410532 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2808 - 606 = -367*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 12:18 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 - 17*c**2 + 85*c + 387. What is the least common multiple of 16 and p(-21)?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -116*t + 4107. Calculate b(35).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-6))\/((-2)\/3)*(-638)\/638.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 214\/8 + -5*27\/(-45). Let y = g + -29. Factor 0 - 3\/4*h + y*h**2.\nAnswer: 3*h*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15423 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 + -71. Let b = n - -37.5. Let o = -1.4999795 + b. Round o to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -43 + 24 + 6 - (-3 - 20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 104 and 7423?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1903*d**4 + 1356*d**2 wrt d.\nAnswer: -45672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c**2 + 7*c + 4. Let n(a) = -a**2 + 7*a + 3. Let j(y) = 2*f(y) - 3*n(y). What is j(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 238 - 268.7. Let x = 26.7 + g. Which is smaller: -2\/95 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i - 3*i**4 + 1310*i**3 - 1308*i**3 - i**4 - 2 as g*i + r*i**4 + q*i**3 + t*i**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -48 + -8. Let h = -61 - a. Let y = 7\/17 - 45\/68. What is the closest to -1\/5 in -4, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54*o + 6 + o**2 - 53*o + 109*o)*(0*o**2 + 0*o**2 + 2*o**2 - o**2 + 0*o + 0*o + (-4*o + o + o)*(o - o - 2*o) + 13*o - 13*o + 10*o**2).\nAnswer: 15*o**4 + 30*o**3 + 90*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**2 - 140208*v - 74953548.\nAnswer: -4*(v + 543)*(v + 34509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.36 + -30.36. Let i = j + 30.0000275. What is i rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**3 + 25398*s**2 + 203088*s + 406112 = 0. Calculate s.\nAnswer: -12691, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**5)**(-15\/7))**(-36))**(-1\/2) assuming l is positive.\nAnswer: l**(-1350\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1041187549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 2*k - 2 - 2, -10 = -k - 3*q. Suppose -k*f + 12 = 0, 177 = -2*j + 4*j + f. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.65627 centimeters to meters.\nAnswer: 0.0965627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3745864211.\nAnswer: 3745864211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 9) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 AM and 3:15 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - i + 25. What is the tens digit of z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 35*a**3 + 67 + 9*a**3 - 77 wrt a.\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1261, 1283, 1309, 1339, 1373, 1411, 1453?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.3  (b) -755  (c) 1  (d) 4  (e) 0.1444  (f) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*j = 55*j. Let w(m) be the second derivative of 0*m**3 + 1\/150*m**6 + j*m**5 + 4*m - 1\/15*m**4 + 0 + 0*m**2. Determine t so that w(t) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z**3 + 12*z**2 - 81*z + 25. Let n be g(5). Solve n*l + 2*k = 172*l + 14, 0 = 2*l - 4*k + 24 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -2. Let l(b) = b + 2. Let i = -24 + 20. Let t(r) = i*l(r) - 4*y(r). Let m(g) = -2*g. Determine t(m(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -1656*x**3 + 1. Let a = 21 + -22. Is t(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + -2 + -1 + 6. Suppose 0 = j*f + 2*h, 0 = -2*f - h - 4*h. Suppose -2*p + 2*m + 30 = f, -5*p - 6*m + 4*m = -47. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30364 and 4500.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 - -0.2. Let g = 877 + -858. What is the second smallest value in -1\/3, t, g, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*5*4\/420.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o\/(o*o**11*o)))\/o)\/o*o**(10\/3)*(o**(-1\/2))**(-14) assuming o is positive.\nAnswer: o**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - h = 6*z + 24, -3*z - 2*h - 13 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97 + 133 = 12*f. What is the nearest to -1\/11 in -6, -2\/13, f, -1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + n + 41 = 0, d + 54788 = -4*n + 54778 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 3*c = -3482 - 4687, 3*c - 8139 = -3*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5980 and 368.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 1 + 2)*(-36 - 3 + 9) - 40 + 139 + 51)*(2*f + 2*f - f) to the form m*f + d and give m.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14 - -32532?\nAnswer: 32514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2516775 and 12?\nAnswer: 10067100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 21*b**3 - 18*b**2 - 18*b. Let j(f) = f**3 - f**2 - f. Calculate -18*j(q) + y(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h - 10 = 6*h. Suppose -3*z + 746 = -c, h*z - 516 = c - 5*c. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128*t**2 - 37 + 137*t**2 - 264*t**2.\nAnswer: t**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -625*n - 8634 = -115*n + 3606 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 2\/47  (b) -0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -s. What is the remainder when 64 is divided by (2 - s) + 3 + 17?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 278182620 a multiple of 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*c - 16*c - 6*c - 2*c - 323674945 + 323674946.\nAnswer: -21*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (565\/(-678))\/(95\/6 + 10\/(-12))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -70 + 73 + -37 - -9\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*h + 0*h**2 + 2*h**2 + 7 + 5*h**2 + 3*h**3 - 9 + 6*h to the form f*h + s*h**3 + j*h**2 + d and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5368.902ms to minutes.\nAnswer: 0.0894817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 312380476586 from -0.5.\nAnswer: -312380476586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3 - 216*g**2 - 4743*g - 32946.\nAnswer: -3*(g + 17)**2*(g + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89097 is divided by 44536.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6 - -172)\/(0 + 2). Suppose 5*d - u - q = 0, -u + 61 = 3*d + 14. Calculate the remainder when 45 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -124 + 2*h + 103 + 39 + 18 + 27. Determine s(-25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 80548245, 80548247, 80548251, 80548257?\nAnswer: 80548265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13310 = q + u - 7109, 0 = q + 2*u - 20425. What are the prime factors of q?\nAnswer: 137, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 251243484 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*d + 24*d - 20 = -5*x, 16*d = 2*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2877 is divided by 223.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04 - -223.78468.\nAnswer: 223.74468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 54\/(48\/8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3387 times 4?\nAnswer: -13548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2451029?\nAnswer: 7, 50021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2207 - -2203. Let y(j) = 3*j**3 + 11*j**2 - 40*j + 17. Let r(g) = g**3 + 4*g**2 - 13*g + 6. What is d*y(o) + 11*r(o)?\nAnswer: -o**3 + 17*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/11, 0.4, -1\/5, -5.5?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5797 + 11849. What are the prime factors of x?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61, -63, -63, -61, -57?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 4*z = 40, -z - 7 + 2 = 0. Let v(i) = i**2 + 9*i - 5. Is v(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112628074523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -20670624 divided by 288?\nAnswer: -71773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75 + 139 - 4340*q**2 - 4974*q**2 - 64 + 9318*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2528 and 41396?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 + 7 + -5 + 6 - (-73 + 58) - 108.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1592483 centuries in millennia?\nAnswer: 0.01592483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (z**2 + 4*z**2 - z**2)*(6*z - 11*z**2 - 6*z) - 2638*z**2 - 63*z**4 - 50*z**4 + 2636*z**2 as j*z**4 + f + o*z**2 + c*z**3 + y*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 2056289?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -481.8 take away 42.5?\nAnswer: -524.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -53358 (base 10) in base 14?\nAnswer: -15634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1945, 2\/3, 1\/5, 3, 0.5 in ascending order.\nAnswer: -0.1945, 1\/5, 0.5, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 5*c - 11. Let h(j) = 14*j - 33. Let p(w) = -6*h(w) + 17*l(w). Let s be p(-9). Solve 5*d - 2 = n + 13, -3*n + s*d - 6 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4584 - -4584.3. Sort -100, 1, 2\/5, f.\nAnswer: -100, f, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 536574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*(q*q**0)\/q)**(1\/25))**(-1\/12))**(-43) assuming q is positive.\nAnswer: q**(43\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l**2 - l**2 - 29*l**2 + (2 - l - 2)*(-6*l - l - 4*l) + (-2*l + 2*l - l)*(0*l + l + l) to the form x*l**2 + w*l + n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 + 8*b - 3. Let u be n(5). Let q be ((-8)\/(-14))\/((-1)\/(-7)). Suppose -6*y + u = -q*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: Let j = -514 + 874. Suppose -356*d = -j*d. Let h be (-4)\/(-2)*5\/(-2). Sort d, h, 5 in ascending order.\nAnswer: h, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/(-32))\/((-28)\/(-14))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -3*o + 30. Suppose -4*u = -4*z + 20 - 4, 2*z - 8 = -2*u. Calculate the least common multiple of z and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1476*m + 20798 wrt m.\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5008 and 64478.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b**2 - 6*b + 6. Let d(k) = 3*k - 4*k + 5*k - 5*k + 3. Let u be d(1). Let g(y) = 5 + 0*y - 11*y - 3*y**u + 4 + 2. Determine -6*g(q) + 11*p(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q**3 + 38*q**2 + 4*q - 61. Let k be o(19). Let g = 73 - 71. Solve -g*f = 3*f - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 125449675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/3)\/(8\/36). What is the closest to -1 in t, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*d + 11. Suppose d*t = t. Solve t = -0*b - 2*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + 2. Let j = -9 + t. Let x = j - -3.99999. What is x rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 5\/(-30) + 139\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 79 + -84. Let u = -2729 + 2728.5. Which is the closest to -0.5?  (a) k  (b) u  (c) 38  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-14))\/(-7*(-6)\/42)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - 1 - ((-3 - -3) + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4025020 greater than 4025018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4639873286.\nAnswer: 2, 35759, 64877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1536 times -6404.8?\nAnswer: -9837772.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = s + 4*f, -4*f = 2*s + 4 - 22. Suppose 7*p - s = 26. Suppose -4*r = 4*o - 236, -p*r - 78 = -4*o + 194. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 27 and -0.08.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.065 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*f = 88*f + 640. Calculate the remainder when f is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*h + 45*h**4 - 89*h**3 - 118*h**3 + 205*h**3 - 6 in the form s + c*h**4 + i*h + r*h**2 + n*h**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0275945945 rounded to four dps?\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((504\/35)\/12)\/((-26)\/5).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49827\/36 - 1 - 58\/696 is divided by 343.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -43, -48, -57, -70?\n\"Answer: -2*b**2 + b - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 116.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 187*v**2 + v + 1. Is a(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 + 2*d**2 - d. Let x be q(-2). Let r(f) be the second derivative of -3*f + f**x - 1\/2*f**3 - 1\/12*f**4 + 0. What is r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 5*z + 2*z - 121 = 0, z = 4*j - 123. What is the remainder when j is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 14*s - 11. Suppose 4*d = -2*r - r + 39, 4*r + 2*d - 52 = 0. Let t be m(r). Solve -t*g - 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-3) + (-38)\/57. Let u = 108 - 542\/5. Sort v, 4, u.\nAnswer: v, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 126*t*u**3 + 386*t + 672*u**3 - 297 with respect to u.\nAnswer: 378*t*u**2 + 2016*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 81 + 26.889164998.\nAnswer: 107.889164998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 0.002  (b) 1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 7*u + 65. Let h(x) = -x**2 - 6*x - 3. Suppose -g = -2*r + 5*r + 1, 4*g = -r - 15. Calculate the remainder when u is divided by h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 113, 224, 331, 434?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00005188 to 6 dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 + 5. Let o be q(0). Let f(c) be the third derivative of -1\/480*c**6 + 0*c**4 + c**2 + 0*c**o + 0 + 0*c**3 + 0*c. Let f(s) = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*h - 65 = -10018*v + 5005*v + 5009*v, -25 = 4*v - 5*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -p, 0 = y - 6*p + p - 9. Let b(t) be the second derivative of 1\/6*t**y + 0*t**2 + 0*t**3 + 0 - 3*t. Let h(a) = -4*a**2. What is h(b(n))?\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 0, -91 in decreasing order.\nAnswer: 0, -10, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -4*u + 3*u + 16 - 16. Let g(r) be the third derivative of -1\/12*r**4 + 0*r**3 + 0*r + 0 - r**2. Give g(y(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of m**8\/560 + m**7\/280 - 2*m**3\/3 - m. Let b(n) be the second derivative of f(n). Factor b(p).\nAnswer: 3*p**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*l + 6*l + 158 = -70 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 408\/31, -0.6, -1\/2, 0.3, 1\/3, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/25)*s*(((s*s\/(s\/(s**(1\/10)*s)))\/s)\/s)\/s)\/(s**(-6)\/(s*s*s\/(s*s\/s**(3\/8)*s))) assuming s is positive.\nAnswer: s**(1279\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -119*b - 4159. Let s be u(-60). Calculate the highest common factor of s and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**4 + 2116*l**3 - 2116*l**3 - l)*(-7 - 2 + 2).\nAnswer: -21*l**4 + 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1645 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 59 = -19*h, h - 4*q = -2*q - 1. Let p(x) be the first derivative of 5\/4*x**4 - 5\/3*x**h + 5*x - 20 - 5\/2*x**2. Factor p(a).\nAnswer: 5*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(325) + -1 + (sqrt(130)\/sqrt(5))\/sqrt(2) - (3 + (sqrt(13)*-1)**2 + -2 + sqrt(13) + 5)*5.\nAnswer: -94 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**3 + 46*h**2 + 128*h + 96.\nAnswer: (h + 2)*(h + 12)*(3*h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 843264 and 44544?\nAnswer: 24454656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllzlfoollllllllfolf. Give prob of sequence zo.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 302  (b) 4  (c) 0  (d) -4  (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 54, 0, -54, -108, -162?\n\"Answer: -54*y + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 432 = 14*g. What is the highest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1527799 is divided by 447.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) - (sqrt(12) + sqrt(108) + -2*sqrt(108)))\/sqrt(4) + 0 - ((sqrt(216)*-1)\/((-2*sqrt(80) - sqrt(80))\/sqrt(10)))**2.\nAnswer: -3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l**2 - 154*l + 154*l as o*l + d + n*l**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 28 = -2*m, -y - m = -3*m - 8. Let n be (y\/(-9))\/((-3)\/252). Let k = n + -30. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3*w - 2)*(0 + 1 + 1) + 2 - 2 - 2*w - 3*w + 3*w - w - 3*w - 3*w + 5*w + (2 - 1 + 1)*(-2*w + 2*w + w) - w + 4*w - w + 4*w + 0*w - 5*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70856 divided by -4.\nAnswer: 17714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 42 - 42. Let i(a) be the second derivative of 0 + z*a**2 + 1\/2*a**3 - 3*a. Let f(v) = 2*v. Give f(i(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -l + 2, 4*l - 4 = 3*l + 3*d. Suppose -h + 5 = l. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t + 2*l + 15 = -2*t - 5*t, 3*l = -2 - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 0*r - 352 = 4*r, r - 252 = -3*g. Let p = -52 + g. Suppose -4*w = -53 + p. What is the greatest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1155 and 29849868?\nAnswer: 29848713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is -b (base 16) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10.6 - 522.4. Let l = 532.7 + f. What is the nearest to -2\/5 in -1\/4, 1\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 183 divided by 61.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**4\/4 - 12471*f**3 + 1297687*f**2\/4 + 673785*f\/2 = 0.\nAnswer: -49910, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 595 + -591. Solve -b = -2*a - 3*b + 8, 0 = -h*b - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1407, -2701, -3985, -5253, -6499, -7717, -8901?\n\"Answer: s**3 - s**2 - 1298*s - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -k - 26 + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-6\/11)\/u**(-1)*(u*u**0)\/(u**0\/u))**33 assuming u is positive.\nAnswer: u**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 135 and 173205.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 237.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 19512.8 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -656885 - -656921. What is the remainder when (-6)\/(-4)*(-3160)\/(-6) is divided by i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1250)\/(-4375)*49\/40)\/(2\/8).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*p**2 + p**2 - 3*p**2 + (-8*p - 19*p - 3*p)*(-2*p - 1 + 1) to the form u + b*p**2 + t*p and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*2*(-56)\/16 + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -56 - -103. Let i = -45 + h. What is the highest common divisor of i and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 17 = -t - 3*c, -5*t + 5*c + 85 = 0. Let n be (-8)\/(-12)*-3 - -234. Let v = 266 - n. Calculate the highest common factor of t and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 6717*k + 6338. Let u(s) = 13439*s + 12675. Let q(h) = -9*f(h) + 4*u(h). What is the derivative of q(y) wrt y?\nAnswer: -6697","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 46*p - 38. Let c be z(3). Does 13 divide ((-325)\/c)\/((-1)\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 26 + 14?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39039 and 1413126?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -228408249 divided by 76136083\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 205 = -8*s. Suppose -i = -24 + 10. What is the remainder when s is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/5*-1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 11, o: 5}. Give prob of picking 2 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -108, -325, -760, -1521, -2716, -4453, -6840, -9985?\n\"Answer: -18*b**3 - b**2 - 88*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -11 - 105b3?\nAnswer: -105c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h + 14. Is y(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rxxrs. Give prob of sequence xsrr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-19 - 24\/(-6))*-15*1. What is the highest common factor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 23*h**2 - 303*h + 1013. Let x(v) = 11*v**2 - 151*v + 506. Let u(m) = -6*n(m) + 13*x(m). Determine c, given that u(c) = 0.\nAnswer: 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11569453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -209*j - 6779. What is s(-40)?\nAnswer: 1581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58540 is divided by 9754?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 AM and 6:26 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5141\/4 or 1286?\nAnswer: 1286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -4  (b) -2\/5  (c) 1\/5  (d) -3\/38  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 145500690.\nAnswer: 2, 3, 5, 4850023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 6593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000006861 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 235982002 divided by -2.\nAnswer: -117991001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3328\/(-260))\/(-64))\/((-2)\/((-12)\/1)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -14 + 7 + -2 + -1. Let b be (k\/(-4))\/(4\/456). Calculate the highest common factor of b and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 22*b**2. Let m(u) = -164470*u. Give m(y(n)).\nAnswer: -3618340*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhuh when four letters picked without replacement from {h: 4, u: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -162 + 85. Let w = -53 - x. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of -d**5\/270 + 200*d**4\/27 - 160000*d**3\/27 + 1140*d**2. Factor r(n).\nAnswer: -2*(n - 400)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 29*l**3 - l**2 - l + 1. Let y be g(1). Suppose y = 7*r - 3*r. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (6 + -5) - (3 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 4 = 4*l. Suppose 0 = w + l*w. Suppose w + 0*s + 2\/9*s**2 = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 8) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 117977786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -16*(-6)\/((-36)\/3). Let i(m) = -m**3 - 6*m**2 - 10*m + 6. List the prime factors of i(t).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/(-15)*(15\/50)\/((-15)\/(-125))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4562.34262 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 6*v = -4*v - 18, -4*m - 5*v + 34 = 0. Suppose -2*n + 6 = 5*u, n + 3*u = -4*n - 23. Let f = m + n. Solve -5*a - 19 = 1, 3*a = -f*s - 32 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4.273229 years?\nAnswer: 51.278748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 19*h + 8. Let a(c) = 10*c + 4. Determine -5*a(b) + 3*m(b).\nAnswer: 7*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 4*i = 94 + 69, 2*i = 4*s + 596. Which is greater: -144 or s?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 914216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -41*s + 286. Let f be d(7). Let l be (10\/(-5))\/(1\/15*f). What is the highest common factor of 150 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86690 = -2755*h - 698*h - 7271 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -2*sqrt(19) + sqrt(19) + 2 + 2 + sqrt(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.62 + 0.22. Which is the biggest value?  (a) 0.5  (b) f  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(3*sqrt(200) + sqrt(200) - sqrt(200))\/sqrt(10).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 18 = -6. What is the highest common divisor of 57 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -362 + -1?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 60 = r. Let h = -20 - r. Is (-282)\/h - (-4)\/(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 78 + -64. Suppose -2 + 12 = -5*x + 5*k, 4*k = x + 14. Suppose 16 = 3*j + 2*a, x*j + 2*a - 5*a = -11. Calculate the smallest common multiple of p and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.071 + -29.92\nAnswer: -27.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-1)*(-2)\/4. Let s = j - -1. Differentiate -8 - 32*k**2 - 1 + 12*k**s + 5 with respect to k.\nAnswer: -40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 29*r**2 + 6*r - 8. Let h(a) = -10*a**2 - 2*a + 3. Let g be (-18 + 15)*(-8 + 9). Calculate g*s(m) - 8*h(m).\nAnswer: -7*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 2) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pkkkppkppppkp. What is prob of picking 1 p and 3 k?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 o when three letters picked without replacement from {u: 7, w: 2, o: 1}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2993122600 rounded to the nearest one million?\nAnswer: -2993000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36 + 395*g - 101 + 34 + 31 to the form f*g + q and give f.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.709471229 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w**2 - 2652*w + 608302. Calculate n(1031).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -78*n + 336*n + 225*n - 33327 for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -40 + 63. Let d = -21 + a. List the prime factors of d\/(-11) + (-7)\/231*-2283.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iww when three letters picked without replacement from lowllwlwwliiwiwlio.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 - 14. Let h = -42 - -102. What is the greatest common factor of d and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -0.2  (b) -0.3  (c) -1382024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/(-9) - (-22)\/6. Suppose 2*y - d*y = 0. Suppose y*l + 3*l - 57 = 0. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -4*r**2 - 8*r + 18. Let i be k(2). Sort -1, -4, 4, i in decreasing order.\nAnswer: 4, -1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -44684 or -44687?\nAnswer: -44684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 201 + -203. What is the second biggest value in -0.4, 12, n, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 + t**2 + t + 1. Let s(d) = -8*d**3 + 11*d**2 - 6*d - 3. What is s(l) + 6*w(l)?\nAnswer: -2*l**3 + 17*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -169 (base 12) in base 10?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 321254*x**4 + 520766*x**2?\nAnswer: 7710096*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2105 (base 6) in base 5?\nAnswer: -3343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**2 - 20*s - 25.\nAnswer: 5*(s - 5)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 12*l - 8. Suppose -5*c - 25 = -0*c. Let f(y) = 8*y - 5. Let p be ((-75)\/35 - -1)*-7. Calculate c*z(i) + p*f(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -6*p. Let u(k) = 7*k. Let b be -3 + 108\/126*7*1. Determine b*u(j) + 2*r(j).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-1)*3\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06945067 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (-10 - -5) - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 850 is divided by 690\/(-966)*(-64 - -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 + 14. Let d(y) = -y**2 + 4*y**o + 9*y**2 + 2*y**3. Let j(b) = -2*b**3 - 3*b**2. Give 3*d(z) + 8*j(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 AM and 9:18 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 5, -130, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 279781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29 - 26. Let p(g) = i*g + 5*g + 106 + g**2 - 97. Let c be (4 + -1)\/(1\/(-2)). What is p(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of a**6\/120 + 4*a**3\/3 - 2*a**2. Let d be q(0). Solve -3*h + d*h = -5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005651 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -77 + 2571. Solve 2514 = 4*r + v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (139 - (7 + 11) - 19) + -9.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y*y**10))\/(y*y**2))**47\/((y*y*y**(1\/3)*y*y*y**(-2))\/((y\/((((y\/(y**(-5)\/y))\/y)\/y)\/y))\/y*(y**1\/y)\/y)) assuming y is positive.\nAnswer: y**(-1996\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1372 and 1195355?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/6)\/((-3)\/9). Let i = 0.15 - 0.18. Let p = -0.13 - i. Which is the nearest to 0?  (a) p  (b) x  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1454.64, -0.31, -1\/9 in ascending order.\nAnswer: -1454.64, -0.31, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mlspmpmlmmsmmmlllmmm. What is prob of sequence lmpp?\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3123\/10 + -75067\/240. Calculate the common denominator of 151\/66 and w.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1586971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1156841763 divided by -1883.\nAnswer: 614361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 - 3*f**2 - 6*f + 4. Let d be x(-5). What is the greatest common divisor of 42 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 4 + 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g*g*g\/g**25)\/g*g\/(g\/g**(5\/2)))\/((g\/g**29)\/g**8))**43 assuming g is positive.\nAnswer: g**(1419\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 80\/(-3)*(-54)\/36. Suppose k - 148 = -u. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26 (base 10) to base 9\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 9. Suppose 0 = 4*k + f*d - 8639996, 3*d = -5*k - 1425914 + 12225911. What is k rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from alxxpioi. Give prob of picking 2 x, 1 i, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1533)\/(-63))\/73*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 34243 - -75?\nAnswer: 34340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 + 440*c + 27091. What is r(-74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 3  (c) 1\/4  (d) -47  (e) 0.4  (f) 7\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 2:23 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 9754 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 + 118*t + 1047. Give a(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6132012 is divided by 511?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((2*-2*sqrt(136)*-5)\/((sqrt(800) - (sqrt(800)*-1 + sqrt(800)))*-4) + -4).\nAnswer: 3*sqrt(17)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 833 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 657489458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14303?\nAnswer: 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 3, 0.1, -2.8, 5, 1\/5 in ascending order.\nAnswer: -6, -2.8, 0.1, 1\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64302.45ug to nanograms.\nAnswer: 64302450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 226 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 771936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 + 12. Let j be o(-7). Let k = -36 - j. What is the highest common divisor of k and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -4*f**2 + 48516*f - 147092760 = 0.\nAnswer: 5994, 6135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 9 = 6. Sort f, 1, 4 in descending order.\nAnswer: 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 PM and 3:28 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1857500537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Round -5680 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 + -0.3. Let q = -7\/228 + -9313\/1140. Let l = -343\/40 - q. Which is the closest to -2?  (a) 1  (b) s  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 4*g - 14 = 0, -3*m + 0*g = 4*g - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44 is divided by (-1)\/2 + (-186)\/(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 98983616*n**4 + 1062760*n + 11.\nAnswer: 1187803392*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -85341.4 and -0.2.\nAnswer: 17068.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -561 - -960. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q + 34. Give i(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 388509 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8782649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t**3 + 0*t**3 + 3*t + 4*t**3 - 3*t**2. Let f(q) = -4*q**3 + 5*q**2 - 6*q. Let l(d) = 3*f(d) + 5*z(d). Find the second derivative of l(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**5 - 33394*n**4 + 100170*n**3 - 100166*n**2 + 33388*n.\nAnswer: 2*n*(n - 16694)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10415 + -10397. Solve -m*k = -26*k - 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 3*n = 5*w + 86, -7063*w + 80 = -5*n - 7068*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43180 by 10795.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -884 != -881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -28014*i**3*w + 2*i*w - 15734*w wrt i?\nAnswer: -168084*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0049645 rounded to 4 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -822 - 491 = -3*u + 4*x, 0 = -4*x - 8. Let m = u + -706. Which is smaller: m or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 81192850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40699.\nAnswer: 40699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 41.9 - 41.683. Let s = 104.217 - j. Let c = s + -104.0148. Round c to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 635565283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/24 and -61\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 + 1. Let u(p) = 5*p**2 - 4*p - 3. Let l = 36 - 40. Calculate l*t(d) - u(d).\nAnswer: -d**2 + 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5460 = -4*u + 5*i - 5490, -5*u + 2*i = 29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-256 - -145) + 6 + (-4 - (6 + -23)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 - 10. Suppose -k + 10 = y. Solve -5*x + y*x + 2*t - 7 = 0, 3*x = -5*t + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(18) - sqrt(162))*2)\/(2*sqrt(18)\/sqrt(2))*3)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331)*-2 + 3)*6.\nAnswer: -132*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of -205*z**4 - 26*z**3 - 6*z**2 - 139. What is the third derivative of y(a) wrt a?\nAnswer: -4920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -512079803*u**5 - 4377*u**2 - 2668 wrt u?\nAnswer: -30724788180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -11*r**3 + 6*r + 6. Let x(b) be the third derivative of b**6\/12 - 5*b**4\/24 - 5*b**3\/6 - 229*b**2. Determine -5*j(f) - 6*x(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in 4\/43, 354, -3?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 4*u - 7. Let m(l) = 3*l**3 - 4*l**2 - 2*l - 2. Let h(p) = -8*p**3 + 11*p**2 + 5*p + 6. Let x(d) = u*h(d) - 11*m(d). What is x(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 516163179?\nAnswer: 3, 7, 103, 127, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -6*w + w - 25, 5*w + 25 = -3*o. Let u(l) = l + 9. Give u(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -663 greater than or equal to -665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of -f**4\/12 + 7*f**2. Let b(z) = 15*z. Give o(b(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 58 = 5*j + 84, 0 = 3*k + 4*j + 23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 4*j - 3 = 0, -118*k - 36 = -127*k - 3*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -42 + 32. Let s be ((-64)\/240)\/((-4)\/x). What is the nearest to 0 in 1, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 1. Let d be 2\/8 + (-15)\/12. Let n(x) = x + 2 - 2*x + 1. Let o(v) = d*n(v) + 5*s(v). What is the first derivative of o(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (-11 - (0 - (1 + -4)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -68.1 + 71.1. Which is the closest to -2\/9?  (a) -1  (b) 0  (c) m  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-4)*(2 - 1). What is the second smallest value in 0.2, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6047 + -13?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -192 divided by -48.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, m: 11, h: 1}. Give prob of sequence hmm.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55 = -81*x + 76*x + 2*f, -2*x - 49 = -3*x - 2*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is x in -2*x**2 - 97760*x + 391072 = 0?\nAnswer: -48884, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.65 - 1.1. Let v = 4 - 3.95. Let j = v + y. Which is the nearest to j?  (a) -1\/2  (b) 3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 - 3*y. Let b be x(2). Let d = b - -2. Factor -1\/5*o**4 + 1\/5*o**2 + d - 1\/5*o + 1\/5*o**3.\nAnswer: -o*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**2 - 4*d**2 + 0*d**2)*(-4*d**3 - d**2 + d**2) + 137*d**2 + 810*d**5 - 137*d**2.\nAnswer: 818*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 60 + -36. Let l(y) = 9*y**2 + 2*y + 1. Let d be l(-1). What is the highest common factor of u and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3976 - 3976.0002777. Round c to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - 0. Let o(k) = k**3 + 4*k**2 + 4*k + 3. Let a be o(-2). Suppose -2*d + a = 1. Is b at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 + 6 + 6 - 12. Is l(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = f - 6*f + 11, -2*f = -3*y + 50. Let t be 4\/(-3)*(-2520)\/112. Is 493 + (-75)\/t*y\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4.79003, -2, 0.02, 4?\nAnswer: -4.79003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = -j + 96, -71363 + 71384 = 2*j - b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*v - 108 + 71 = 647 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 87441.309us in days?\nAnswer: 0.0000010120521875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 28*h**2 - 9*h + 344. Is r(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 = 20*y + 51 + 209 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (64\/(-14))\/((981\/4905)\/((-3)\/30)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18940552, 37881095, 56821634, 75762169, 94702700?\nAnswer: 113643227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 9547160112255 and -71?\nAnswer: 9547160112326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 + 6*w**2 - w - 4. Let p be -607*2*(-1)\/10*5. Let b = 675 - p. Calculate the least common multiple of b and q(3).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 6 - 16 = 0. Let i(z) = 50 - 48 + z**x - z - 6*z. What is i(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 5 = a, 5*q + 6 = -19 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 162 - 161.9. Let l be 3 + ((-198)\/(-90))\/(3\/(-5)). Which is the second biggest value?  (a) -1\/2  (b) l  (c) y  (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -11. Let z = -54 - -55. Let q be (18 - 25)*(v + z). Solve -q*x + 5*x + 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of b**3\/3 + 2*b + 4. What are the prime factors of p(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t = -5*t - 15. Solve 0 = 4*h + 4*s - 36, -2*h - t*s + 44 = 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a - 3*g + 6, -3*g - 1178 = 4*a - 1184 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1972 and 17962948?\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -5*s + 112 + 125, 5*s - 231 = -4*i. Differentiate -6 - s*h + 12 - 5 + 34 with respect to h.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -461380 to the nearest ten thousand.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4651 is divided by 432?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 181671607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -42 and 276.\nAnswer: -11592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - 4*i + 7. Suppose -2*p = -6, 5*w - p + 3*p - 21 = 0. Let g be ((-2)\/w)\/((-16)\/(-120)). Let c be l(g). Solve h - c - 2 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 25128856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 7, b: 6, n: 4}. What is prob of sequence nb?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 4 - (228 + -280 - ((-8 - 0) + 20))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2414*d**4 - 1 + 1 + 4364*d**4)*(-2 + 3 - 3).\nAnswer: -3900*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*q*y**2 + 17*q*y - 16*q - 6*y**2 - y + 282 with respect to y.\nAnswer: -4*q*y + 17*q - 12*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11762 + -11757. Solve a - o*h = -12, 7*a = 9*a + h + 13 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(1161\/(-86)))\/((-4)\/(-570)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, e: 3, o: 1, r: 2}. Give prob of sequence erry.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*9\/30)\/((-6)\/15)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(242) + sqrt(2) + 2*(sqrt(2) + -1).\nAnswer: -8*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 - 2*r**2 - 2*r - 6. Let x be t(0). Let f(z) = z - 1. Give f(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*x - 5*c, 0 = 5*x - c - 9 - 1. Let 20 - 61*h**2 - 36*h + 75*h**4 - 8 - 12*h**x + 9*h**2 + 27*h**5 + 9*h**3 - 23*h**2 = 0. What is h?\nAnswer: -2, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 653934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in -2\/27, 0.032, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 5e?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = 4*y + 35, -3*h + 339*y = 335*y - 29 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + 6\/(-5) - (-22)\/10. Let g = w + 0. Solve x - g*x - 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 317182348.\nAnswer: 2, 7, 59, 191999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 - 16*t - 17. Let m be b(-15). Let u = 22 + -40. Let j be 2\/6*u\/(-8). Put 3, m, j in descending order.\nAnswer: 3, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**4 - 6*c**3 + 831*c**2 + 11144*c + 37632.\nAnswer: -(c - 32)*(c + 7)**2*(c + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 divided by 1?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 24624 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-144))\/((-30)\/(-540))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2308910 take away -14?\nAnswer: 2308924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + 2*(-12)\/(-8). Suppose -3*j = 5*y - 1227, 0 = -3*j + 4*j - a. Suppose 0*f + 3*f - y = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1973 times -5?\nAnswer: -5.9865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 15063954193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 155 and 2?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -26*b**2 - 13*b + 13. Let q(a) = 13*a**2 + 7*a - 6. Let k(i) = -3*o(i) - 5*q(i). What are the prime factors of k(5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 - 4*z - 3. Let f be y(5). Suppose f*q = q. Solve -3*i + 4*i + 3 = q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 2) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -9304.2 to the nearest 100.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 5:05 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r**2 + 3*r. Let l(x) = 22*x**2 + 34*x. What is -68*h(d) + 6*l(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 3*d + 17. Let t(k) = -16*k - 85. Let m(i) = 11*l(i) + 2*t(i). Calculate the remainder when 2\/((-12)\/75)*-4 is divided by m(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -38 - -40. Let y(k) = -k**3 - k**2 + 2. Let r be y(d). Which is smaller: -11 or r?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1a0689 - 1?\nAnswer: -1a068a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 5. Let j be 12\/(-54) + 28\/(-36). What is the closest to -1 in j, o, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -2.109504.\nAnswer: 8.438016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1190 a factor of 53052580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -7012756 and 1.37?\nAnswer: 7012757.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (24 - (7 + 58) - -3) + -39\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 13 = 5*u, u + 618 = 5*g + 627 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 29, 121, 275, 491?\n\"Answer: 31*z**2 - z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12*d*i**3*y**2 - 69619*d*i**3*y - 20*d*i**2 - 260*d + i**3 - 4*i wrt y.\nAnswer: -24*d*i**3*y - 69619*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 58197 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 900 and 18756?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 358 or 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1073014 or 1073015?\nAnswer: 1073014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8428007 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 143 + -141. Let l be (1*f)\/((-21)\/(-6)). Which is the third smallest value?  (a) -0.2  (b) -11  (c) 0.5  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 AM and 6:20 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.1079809 tonnes?\nAnswer: 107980900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3.722, 4, 1\/4, 6\/11 in decreasing order.\nAnswer: 4, 3.722, 6\/11, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2670 + 86410?\nAnswer: 83740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 325849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p - 8. Let f be q(12). Suppose 10 = -2*g, f*g + g + 11 = 2*z. Let x = 4 - z. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*u**4 + 5*u**4 + 2 + 2*u**3 - u + 5*u**2 - 6*u**2 + 2 as o + n*u**3 + m*u + a*u**4 + b*u**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**4\/2 + 6*h**3 + 485*h**2\/2 + 1524*h + 2728 = 0. What is h?\nAnswer: -11, -4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1467 and 618585.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 162322282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 8:39 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (803*v + 1363*v - 845*v)*(7 - 1 - 2*v**4 + 1).\nAnswer: -2642*v**5 + 9247*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 14*r - 6 + 8 - 134*r**3 - 6.\nAnswer: -134*r**3 + 14*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9434 or -575475\/61?\nAnswer: -9434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -104354 to the nearest 1000.\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -133 - -137. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 12. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 - 2*x**2 + 0*x**2)*(-5*x - x + 2 + 2*x).\nAnswer: 16*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-34)\/(-105))\/((-4)\/9). Let s = -33\/10 - f. Find the common denominator of s and -10 - -6 - (-82)\/(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -45.7 + 46. Let j = 0.7 - s. Which is the smallest value?  (a) j  (b) 2  (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2092, -2089, -2086, -2083, -2080, -2077?\nAnswer: -2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-16)*(-14112)\/(-34398)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -30770174 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h + 4*h - 32. Suppose -9 = 5*p - h*p. Is (-29)\/(-5) + p\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (-3 - 32) - 15 - (-1 - -17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -369*m - 3100 = -59*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -2, -4528, 271 in decreasing order.\nAnswer: 271, -2, -9, -4528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(42) - (sqrt(336)\/sqrt(32) + sqrt(42)))\/(sqrt(847) - (sqrt(847) + 2*sqrt(847)) - sqrt(847)))\/((sqrt(1080)*1)\/(sqrt(10) - 1*sqrt(40) - sqrt(10))).\nAnswer: -sqrt(2)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*3)\/((-396)\/24).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1031948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(6*(sqrt(70)*-1 - sqrt(70)) + 4*-2*sqrt(70))\/(-1*(sqrt(160)*2 - sqrt(160)))*-4.\nAnswer: 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1454613885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3202545)\/427006 - (43\/(-2) + 1 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, e: 4}. What is prob of sequence ex?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jmm when three letters picked without replacement from mjmoomocrro?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*q**2 + 5*q**2 + 12*q + 8*q + q + 2*q**2 in the form b*q + f + n*q**2 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1942769724 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5*(-4520)\/(-50) - -17. Do -435 and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 - 2*y**2 + y. Let m be o(2). Suppose 0 = -m*q + q. Differentiate -3*k**3 - 2 + 6*k**3 + q*k**3 + 0*k**3 wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50, 97, 142, 185?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -3 + -10 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/((-189)\/266) - (2 + 2). What is the second smallest value in -5, -25, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5990410249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1071233757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 513644790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -10583, -10548, -10513, -10478, -10443, -10408?\n\"Answer: 35*t - 10618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 2*c - 1. Let t be g(3). Suppose 5*v - 2*v = u, -t*u = 2*v. Suppose i + i = u. Solve 2*z + 6 + 4 = i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -20*u - 76*u + 15*u - 4. Is t(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*a - 39 - 6. Solve 0*y + a = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that i**5\/2 - 90*i**4 + 5825*i**3\/2 - 31105*i**2 + 92310*i - 82076 = 0.\nAnswer: 2, 17, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 4*x = 3*c - 21, -7 = -c - x. Suppose 0 = 3*k - c*k + 88. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - (15 + 9 - (-6 + 21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -427.4 - -427. Let n be 17*1\/(-5) - 3\/5. Which is the fourth biggest value?  (a) y  (b) 0  (c) n  (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151*r = -72*r - 71*r + 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26028585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {h: 4, l: 5, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(143) - (1*5*sqrt(143) + sqrt(143) + sqrt(143)))\/(sqrt(704)*1))**2.\nAnswer: 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i**3 - 2*i**2 + 5*i + 8. Let w(l) = l**3 + l**2 - 6*l - 11. Give 3*d(k) + 2*w(k).\nAnswer: -4*k**3 - 4*k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2529 is divided by 438?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 9*g - 15. Let d be p(2). Let -29 - d*c**2 - 22*c + 16 + c**2 - 7 = 0. Calculate c.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/5 - 106*a\/5 - 108\/5.\nAnswer: 2*(a - 54)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*q**4 + 11*q**4 - 3*q**4)*(-4 - 4*q + 4) + (2 - q - 2)*(-17*q**4 + 21*q**2 - 21*q**2).\nAnswer: -107*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 296 a factor of 1830760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x - 3103 + 11*x - 19*x - 6.\nAnswer: -9*x - 3109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 118343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1448 is divided by 644.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9053 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**2 + 18*d**3 - 4*d**3 + 4 - 12*d**3 + 2*d + 3*d**2 to a*d**2 + u*d**3 + p*d + w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 9:53 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4*j. Suppose 0 = -5*q + 37 + 68. Let i = q + -25. Let a(w) = w**2 + 2. Let g(x) = -6*x**2 - 11. Let y(f) = i*g(f) - 22*a(f). What is y(o(k))?\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 0.1, 15, -1579.4, 3 in ascending order.\nAnswer: -1579.4, 0.1, 3, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -12*m**2 + 174*m + 352. Give x(16).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 91 + -10. What is the least common multiple of 18\/(-24)*-4 + 1 + 1 and a?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*n**3 + 137*n**2 - 1096?\nAnswer: 6*n**2 + 274*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -g - 0*w + 1, -g - 4*w = 2. Solve v = -7 + g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 14, 22, 46, 92, 166, 274?\n\"Answer: w**3 + 2*w**2 - 5*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 23021 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 28822049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -r - 3*j - 14, -4*r + 150*j - 146*j + 24 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29644*g**3 - 29648*g**3 + 7*g - 7*g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 320411*i**3 + 3*i**2 - 14136*i wrt i.\nAnswer: 1922466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 56, 77, 90, 95?\n\"Answer: -4*r**2 + 33*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 4*r = -24, 4*a + 3*r + 19 + 2 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2381 is divided by 92?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 7:20 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 283366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24102267 and 1652.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = s - 8. Let x be 3\/(6\/s)*-1. Suppose t = 2*w - 6 - 2, -4*t + 8 = 0. Which is greater: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*n + 21*n + 9*n - 4*n.\nAnswer: 84*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13 + 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 0*j + j**2)*(2 - 6 + 1)*(-4 + 3 + 2).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3521673\/1738006 + 2\/45737. Find the common denominator of -4\/3 and k.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18319.71075 to the nearest 10.\nAnswer: 18320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*t**2 - 4*t**2 + 0*t**2 + (-2 + 2 - 2)*(213*t**2 - 252*t**2 - 4*t + 6*t) to p*t**2 + g*t + c and give p.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -411.8512 to the nearest 10.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3013411799 to six dps.\nAnswer: 0.301341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 5*u + 104, -10753*x + 3*u + 436 = -10748*x. Solve x - 91 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -801 (base 9) to base 12.\nAnswer: -461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -11*i**2 + 9*i - 13. Let z(s) = 5*s**2 - 4*s + 7. Give -6*l(r) - 13*z(r).\nAnswer: r**2 - 2*r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, g: 3}. Give prob of picking 1 g and 3 c.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 2*s = 4, 1 = 4*s + 5. Suppose 29*h + 114 = -8*h + 299. What is the greatest common factor of z and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3197.9 - 3188. Are s and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 940 is divided by 231?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 6*p**3 - 5*p. Suppose 0 = -3*m + 216 - 198. Let v(s) = -7*s**3 + 6*s. What is m*f(r) + 5*v(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 202 and 29189.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 25\/(-20) - -2 - 6027\/(-28). Let f = x + -208. Solve f = -15*b + 11*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1076 is divided by 78\/(-208) + ((-24234)\/(-16))\/7?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-555775)\/10340*(-8)\/(-10)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 16660076436231 and -0.2.\nAnswer: 16660076436230.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6324645611.\nAnswer: 6324645611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 554*b**2 - 7*b + 16. Is k(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 327120 divided by 870\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*y - 575 = -42*y - 13812. Which is smaller: y or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/4)\/(1\/(-36)). Let q = r + 34. Calculate the highest common factor of 112 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/5, -0.029, 3, 38 in increasing order.\nAnswer: -4\/5, -0.029, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h**2 - 2*h**2 + 2*h**2 + 12*h**2 - 39534*h + 19766*h + 19762*h + (-h + 6*h - 2*h)*(3*h + 4*h - 5*h)*(-1 - 1 + 4) to l*h + a*h**2 + x and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(27)\/((sqrt(90) - -4*sqrt(90))\/sqrt(10)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2532946459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 162371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 55 + (-44 - -38 - (2 - 36) - 17)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-308)\/(-63) + (-20)\/4 - 236\/(-18). Solve o + 3*x = r, 0 = -o - 2*x - 25 + 35 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 + 3*g + 6. Let n be f(-2). Let y be 3\/n - (-40)\/32. Suppose -v = -y, -5*v = 4*h - 4*v - 506. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 251914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b - 4*b + b - 3*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -5792328.753 rounded to the nearest one hundred?\nAnswer: -5792300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 times -0.83?\nAnswer: -43.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*((-37)\/(-42) + (-10)\/15)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + (10 - 3 - -3) + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-12)\/i)**1 assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + 4*k - 8 + 88, 0 = 2*h + 5*k + 28. Let y = 0 + h. Is y > -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 11:36 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fofoof. What is prob of picking 2 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/4572128 and 49\/16368.\nAnswer: 13716384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 37748*d - 37743*d + 4*l, 0 = -5*d - 5*l + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*p = 1380 + 153 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10043.6 - -8269. What is t rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of u**7\/42 + u**6\/24 - u**2 - 25*u + 44. Let j(b) be the second derivative of d(b). Factor j(i).\nAnswer: 5*i**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 25*y + 106. Let x(q) = -9*q - 35. Give -6*r(b) - 17*x(b).\nAnswer: 3*b - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 6*i. Solve 0*l + 3*l = i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91876 divided by -14487\nAnswer: -91876\/14487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 18*m**2 + 5*m + 4. Let x(g) = g**2 - 66*g - 1022. Let w be x(-13). Let i(p) = -p**2 + p + 1. What is w*i(a) - v(a)?\nAnswer: -23*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -3 + 3*i + 19 - 4. Let n be k(-5). What is the nearest to 0.1 in -0.5, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) 3\/4  (c) 2  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4802*d**3 - 2*d**2 + 10074*d**3 + 9829*d**3 + 2*d**2.\nAnswer: 15101*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 120260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 2*t + 5*i + 34, 212 = 4*t - i. What is the remainder when t is divided by ((-80)\/(-15) - 3)*6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -13*w**3 - 144*w**2 - 19*w - 134. Determine a(-11).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000531727701 to six dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -2*l**3 - 39*l**2 + 18*l - 27. Let u be j(-20). Let m(n) = -n**3 + 13*n**2 - n - 1. Determine m(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -2. Let n(d) = -7*d - 20. Let y be n(-4). What is the highest common factor of y and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32\/12*(-15)\/(-70).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + -6 + -13 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2  (b) 321.63  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of l**4\/4 + 2*l**3 - l**2 - 1. Let q be 2\/3 - (-60)\/(-9). List the prime factors of g(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16.06 - 5.06. Sort v, -3\/8, 7 in decreasing order.\nAnswer: v, 7, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 614 = -4*y, -109 = -5*y + b + 658. Let w = -761\/5 + y. Calculate the common denominator of w and -18\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -2 - (6 - -1 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 - 3*f - 1. Let u(i) = 2*i**2 + 7*i + 2. Let s(b) = -9*j(b) - 4*u(b). Let n be s(-1). Solve -n*w + 4*m + 10 = 0, 6*m + 20 = m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-268852.\nAnswer: 26885.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-16)*(-6 + 2808\/(-198) - -26) + -6\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 130491 = -5*p, -144 = 4*w - 172. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*g - 580 = 95 + 397 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.1 - 0.6. Which is the third biggest value?  (a) 2  (b) f  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 4 = 3*p, -4*p - 7 = 9. Let q = -2 + 3. Let z be 0\/(q - 0) + 44. Calculate the greatest common factor of z and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y**2 - 524*y + 3177. What is w(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-120)*4)\/((-1)\/(-3))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 9  (b) 70  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 547*z + 4*d = 552*z + 117, -3*z - 4*d = -77 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + z**2 - 3*z - 3. Let j be w(-2). Let i = -3.1 + 2.8. Let u = -0.311 - 0.189. What is the second smallest value in j, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -355, -706, -1057, -1408, -1759, -2110?\n\"Answer: -351*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m - 4. Let j(f) = 2*f + 5. Let x(w) = 4*j(w) + 5*z(w). Let h(y) = y + 6. Calculate h(x(r)).\nAnswer: -2*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 125 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-4)*(8\/6)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*i + 85. Let y = 31 - i. Let u = 38 + -30. What is the remainder when y is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99146837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/(3600\/162) - (-974)\/530.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 - 5*x**2 + 6*x - 4. Let q be i(4). Suppose 4*l - 2*s = 0, -7*s + q*s = 5*l - 22. Is (-36 + 3)\/((-3)\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 19\/123845973?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5.98 * -0.1\nAnswer: -0.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1608493*f**3 + 1573415*f wrt f?\nAnswer: -9650958*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 5*h - 45 = 0, 4*j + 160*h - 30 = 157*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 4 = 5*y + 16, -2*y + 2*x = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 1505*j**2 - 301*j. Let n(m) = -8*m**2 + m. Give -602*n(t) - 2*s(t).\nAnswer: 1806*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -59 + 90*d + 50*d + 67*d + 4 - 9*d. Let w(j) = -11*j + 3. Determine -3*g(r) - 55*w(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 6*d**2 + d + 4. Determine o(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 + 248 = 67*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -7*k**2. Suppose 5*z + 15 = s, 4*s + z - 1 + 4 = 0. Let x(u) be the second derivative of s*u**2 + 0 - 1\/3*u**3 - 4*u. Give x(v(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/2)\/((-1)\/(-4)). Let m be l\/4*40\/(-12). Suppose 4*u - m = -u. Solve u = 2*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 266489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 7*w**2 + 5*w - 2. Let v be h(-4). Suppose v*x - 85*x - 10 = 0. Solve x*n - 10 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1839840091 to three decimal places.\nAnswer: -0.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.46?  (a) 0.06  (b) 1  (c) 0.173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 71935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-95 + 36 - -62) + 30 + -1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 39, 67, 99, 135, 175?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1490\/15 - 1\/3. Let f = 596 - l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 18164*b**2 + 145316*b + 27. Determine f(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.049 - -0.951. Is -1 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7874586 and 3.\nAnswer: -23623758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + -2. Let b be (-1)\/(-2)*6\/k - -3. Suppose -10*s - b = -11*s. Solve s*y + 3*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (65790\/14)\/1 - (-845)\/1183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 545731 plus 0.03?\nAnswer: 545731.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -97 or -1816\/19?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1812364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 1:18 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -23*u + 1. Let t(f) be the second derivative of -3*f**3\/2 - 5*f + 37. What is t(s(p))?\nAnswer: 207*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.164124612 and -0.4.\nAnswer: -0.0656498448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/2)*t**(-10)*t*((t*t**(-3\/5))\/t*t)\/(t*t\/t**(3\/4)))**(-1\/29) assuming t is positive.\nAnswer: t**(187\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + -11011131302?\nAnswer: -11011131312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (-7 - ((8 - 4) + -12))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 0 = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 964263 divided by -3291?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -626*f*l**3 + 4*f*l**2 - 51*f*l + 1 wrt l.\nAnswer: -3756*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.16 + 0.011?\nAnswer: -2.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (3 - 4377*(-1)\/4)\/((-5)\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1192302 is divided by 1476.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 867 - 383. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.1, 1\/175, 12, -36, -182 in ascending order.\nAnswer: -182, -36, 1\/175, 0.1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 93.5 - 104. Let i = a - -10.500523. What is i rounded to five decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7259.071*0.9\nAnswer: 6533.1639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2. Let m(q) = 15*q**2 - 3*q + 7. Let h(l) = -6*c(l) - m(l). Let x(k) = -22*k**2 + 4*k + 7. Determine 7*h(a) - 5*x(a).\nAnswer: 5*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 0.0325, -2, -0.5 in decreasing order.\nAnswer: 0.2, 0.0325, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*n + 14*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/2*78\/30*20\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z + 2*z + 7*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*i + 21 + 15 = 0. Solve -y = i*k - k + 9, 13 = 3*k - 5*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tlttgttdillltitlt. What is prob of picking 2 g and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -26673 divided by 335?\nAnswer: -26673\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - ((3 - 2) + -22) - (-38812 + 38817).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 28  (b) -0.1  (c) 0.2  (d) 0.04  (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 4. Let n(c) = c**3 + c**2 + c - 1. Let k(l) = 5*l**3 + 6*l**2 + 2*l - 6. Let f(m) = j*n(m) + k(m). What is the second derivative of f(r) wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-5 + 1*(sqrt(720) + 0 + 0) + 3)**2*-1.\nAnswer: -727 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -421a3 + -193?\nAnswer: -42366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 150 = 4*p, 2*p - 111 = -p + 3*s. Calculate the remainder when 73 is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**19)**(-2\/43) assuming c is positive.\nAnswer: c**(-38\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -498350 - -498347. Let h = 2.1 + -2. Let a = h + -4.1. What is the third smallest value in 20, a, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 - 25*s + 524. What is p(13)?\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 2*y - 60 = 0. Suppose 7*u - 204 = -10*u. Calculate the lowest common multiple of u and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -77*h**3 + 62*h**2 + 164*h - 1. Determine s(-3).\nAnswer: 2144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c\/((c**2*c)\/c)))\/c)**(16\/7))**(3\/17)*(c*c*(c**(-2\/13)\/c*c)\/c)\/c**(-6)*c**(-3)*c**(4\/5) assuming c is positive.\nAnswer: c**(39058\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.14 in -1\/3, -9, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1 - 0.2. Let w = 0.082 + 0.018. Which is the smallest value?  (a) w  (b) 0.5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3\/13 - 86*p**2\/13 + 588*p\/13.\nAnswer: -2*p*(p - 6)*(p + 49)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 58*b + 4. Let r be w(2). Let n = r - 118. Suppose n*m = 2*a + 398, 4*m + 149 - 972 = -5*a. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g + 10*g - 4*g - 6*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*t + 11 - 53 + 3*t + 2*t - 2*t**2 as b*t**2 + k + q*t and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1656651 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 27441*p**3 - 11415*p.\nAnswer: 164646*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*y - 8742 - 34015 = 0. Suppose 5*v = 5*u - 2*u - y, 4*u + v - 2517 = 0. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2668, -2678, -2688, -2698, -2708?\nAnswer: -2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -98, -202, -298, -386, -466?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from zmagggggzggggammaaga.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 + n + 1. Suppose 6*x + 12 = -0*x. What is g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5\/4  (b) 3  (c) -2\/9  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.43657 millennia?\nAnswer: 4.3657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -57 - -59. Suppose 0 = 3*q + t*m - 51, -m - 85 + 28 = -4*q. What are the prime factors of (-1*89\/(-3))\/(5\/q)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 5*y - 84 = y, 4*d - 3*y = 56. Let u(z) = 2*z**2 + 31*z + 130. Calculate the remainder when d is divided by u(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 399602261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.07977  (b) 4  (c) 1\/3  (d) 3\/7  (e) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -50*(-7)\/56*-2*72\/60?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 0*m - 515. Suppose 0 = 14*s - 15*s + 16. Let o = s + m. List the prime factors of o.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -f*j**2 - 6*f*j*t**2 - f*j - 6*j**3*t**2 - 10*j**2*t**2 - j*t - t**2 wrt j?\nAnswer: -2*f - 36*j*t**2 - 20*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -2*s - 2, -s + 3*v = 5 - 20. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (213 + -199 - (-7 + -2)) + -67.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69538?\nAnswer: 2, 7, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122267.\nAnswer: 122267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 81 by -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -45955, -92020, -138083, -184144, -230203, -276260?\n\"Answer: j**2 - 46068*j + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29574987?\nAnswer: 3, 13, 23, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10\/11, 2\/7, 1\/10 in increasing order.\nAnswer: 1\/10, 2\/7, 10\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/173088 and 29\/4406532.\nAnswer: 105756768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*d - 5*x - 27, 5*d - x - 25 = 0. Suppose -2*c - 1 - 1 = -4*m, 2*m + d*c - 16 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/2, 4704, 3, 74?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7059 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1 + 150\/4 + 3 and -43\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 1 + 4)*(-3*o + 2*o + 3*o) + 0*o - 5*o + 4*o + (1 - 1 - 2)*(0*o + o + o) + 2*o + 0*o - 4*o - 126 + 126 + 4*o + (-3 - 1 + 2)*(-o + 2*o + o).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 600240909?\nAnswer: 3, 200080303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.07 at least 0.077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -5  (b) -3  (c) 9  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17403078 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/331 in 1\/4, 4, 11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 78 (base 15) to base 3\nAnswer: 11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2068876, -4138396, -6207916, -8277436, -10346956, -12416476?\n\"Answer: -2069520*o + 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4272469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 10*a**3 - 4*a**2 + 6*a - 3. Let t be (-3 - -7)\/(0 + -2 + 4). List the prime factors of q(t).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.3126 + -0.0854. Let z = o + 1.41326. Round z to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*x + 2*w + 847 = 857, -2*x = -2*w + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 1. Suppose -h*n = n. Which is the nearest to n?  (a) -0.2  (b) 1\/3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**2 + f + 24. Let u be i(4). Let n be u\/26 + 60\/52. Sort n, -4, -37 in ascending order.\nAnswer: -37, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 15 + 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((27\/108)\/((-12)\/(-16)))\/((-4)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -30629276 divided by -4\nAnswer: 7657319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 153835485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 5*b - r, 3*r + 16 = 2*b + 6*r. Let u(t) be the third derivative of t**4\/24 + 5*t**3\/6 + t**2. What are the prime factors of u(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*0.174568\nAnswer: -0.0698272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -13*k + 60. What is the smallest common multiple of 6 and z(-3)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -51*s - 165 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3403056.327 less than 442?\nAnswer: -3402614.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21260026 - -5?\nAnswer: -21260021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 7*d + 9. Suppose n - 36 = -5*s, s + 0*n - 12 = -5*n. Calculate the smallest common multiple of q(s) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -1623*c + 22750. Give b(14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**4 + b**3 - b**2 + b - 1. Let g(j) = -12*j**4 + 5*j**3 - 14*j**2 + 5*j - 5. Let p(k) = g(k) - 5*s(k). What is the third derivative of p(y) wrt y?\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -23763035 - 7?\nAnswer: -23763044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3*i + 2. Let q(c) = 3*c - 2. Let u(h) = 6*f(h) + 7*q(h). What is u(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -5*k. Let r(h) = -h. Let p(g) = -g**2 - g. Let m(o) = 5*p(o) - 5*r(o). Calculate m(t(q)).\nAnswer: -125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 2*f = f - 18301, -5*c = 2*f - 30498. Round c to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2635*v + 853159. Calculate g(324).\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -511493 by -34.\nAnswer: 511493\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 + -3 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2220 (base 7) in base 10?\nAnswer: -798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/8*((-24)\/18)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 8*h + 5*h + 72, -4*v + h = -111. What is the second derivative of 0*r + 3*r + v*r**3 - 48*r**3 wrt r?\nAnswer: -126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -540 divided by 135.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -21 + 2*l + 21. Let f(s) = 5*s**2 + 100*s + 16. Let w(c) = -c**2 - 18*c - 3. Let u(b) = -3*f(b) - 16*w(b). Give u(v(m)).\nAnswer: 4*m**2 - 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s + 100. Let o be l(0). Suppose -3*q + j + 280 = -o, -q + 108 = -5*j. Let x = 898\/7 - q. What is the third biggest value in -1\/2, 4, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.303 and 12?\nAnswer: -3.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -53*z**2 - 1. Let t(x) = -x - 314. Determine t(a(n)).\nAnswer: 53*n**2 - 313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.1 + -4. Let b be (2\/(-1))\/(-1)*(-1)\/(-19). What is the closest to 1\/4 in l, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 2*c - 3. Suppose -c*h = h - 60. Solve o + 2*m = 2 + 4, -4*o - h = -5*m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**4 - 32*i**3 + 420*i**2 - 736*i + 350.\nAnswer: -2*(i - 7)*(i - 1)**2*(i + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 10:31 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of -h**7\/10 - 127*h**6\/40 - 137*h**5\/20 - 17*h**4\/8 - 10587*h**2. Find c such that n(c) = 0.\nAnswer: -17, -1, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 12*g**3 - 9*g**2 - 46*g + 102. Let q be p(5). Which is smaller: q or 1144?\nAnswer: 1144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, w: 5, e: 1, q: 4}. Give prob of picking 2 r.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 769291.9cm?\nAnswer: 7692.919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(1584) - (-4*sqrt(1584) - sqrt(1584))) + -1 + (sqrt(1584) + 0)**2.\nAnswer: 72*sqrt(11) + 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6686, -131, 72 in ascending order.\nAnswer: -6686, -131, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 - 1. Let t(y) be the third derivative of -y**6\/60 + y**5\/30 + y**3\/2 - 19*y**2. Suppose 2 = -w - 0. Give w*r(i) - t(i).\nAnswer: 2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10.97 + -11.47. Let v = 11 + 5. Which is the biggest value?  (a) v  (b) q  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*p**5 - 1232*p**4 + 61396*p**3 - 195360*p**2 + 68400*p = 0.\nAnswer: -95, 0, 2\/5, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/(-15))\/((-189)\/(-324)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/2124*-16)\/(2 + -4). Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 5*o = -19, 5*d + o - 14 = d. Solve -d*z - 3 = 4*h + 6, -15 = 5*z - 5*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462749091 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1796\/7 - -257. Which is the fourth smallest value?  (a) 1\/4  (b) 0.4  (c) 1  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17 and 1 - (-3 - (-1)\/(3 - 4)).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*m**2 - 1 + 48*m + 11*m**2 - 20*m - 28*m.\nAnswer: 14*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -2*k - 3. Let h be 1\/1*k + 4. Solve 3*u = 4*y + 1, -1 - 1 = h*y - u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**3 + 3*v**3 - 4*v**3 + (5*v - v - 2*v)*(-19 + 19 - 38*v)*(-3 + 3 + 5*v).\nAnswer: -378*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3064 = -194*m - 1441 - 1429 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f - 3*f = 6. What is the tens digit of 142 + (-3)\/f + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w + 11. Calculate m(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by 79\nAnswer: 15\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3\/5 + 2078*m**2\/5 - 8288*m\/5 + 1656.\nAnswer: -2*(m - 1035)*(m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 5*i**2 + 9*i - 14. Let k be w(6). Suppose 0*a = -k*a + 136. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - -3)*(0 - -1). Let h be (a\/(-6))\/(1\/(-4)). Factor h*y + 5 + 2*y**2 - 5.\nAnswer: 2*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -6 + (-2 - -15) + 16\/(-4). Solve -2*b - x*a + 1 = 7, -28 = -4*b + 4*a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4087*q**4 + 9*q**3 - 3*q**2 - 5025315*q?\nAnswer: 49044*q**2 + 54*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - v**2 - 5*v + 2. Let f be u(3). Suppose -2*t = 3*y + 124, 62 + 162 = -4*t - 2*y. Sort 3, t, f in ascending order.\nAnswer: t, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1031 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000202146558 to six dps.\nAnswer: 0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of -4\/3*h**3 + 24*h**2 + 2 + 1\/36*h**4 - 27*h. Factor i(t).\nAnswer: (t - 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of 61*v**4\/8 + 437*v**3\/3 + 875*v**2. What is the first derivative of z(x) wrt x?\nAnswer: 183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17991706 and 11599.\nAnswer: 125941942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-6)*y)\/(y\/(y*y*y*y\/y**11*y*y)))\/(y**(1\/4))**(10\/13) assuming y is positive.\nAnswer: y**(47\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 6*s - 42. Let p(t) = -t**2 - 19*t - 35. Does 22 divide p(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9303.257l to millilitres.\nAnswer: 9303257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 5 = -2*q, -2*v - 65 = -5*q - 5*v. Solve -18*d + 9*d**2 + 5*d + 8*d + q - 24*d**2 + 5*d**4 + 5*d**3 = 0 for d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -42, 0.4, -1, 0.9, 0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - 70329444286331.\nAnswer: -70329444286330.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.33 and 269.\nAnswer: 88.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218*q + 229*q - 6 = 27. Solve -7*h + 12*h - 2*r = -14, -r - 15 = q*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 330*g**2 - 111*g**2 + g - 108*g**2 + 43697*g**3 - 111*g**2.\nAnswer: 43697*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 169 is divided by (-424)\/6*18*(-7)\/168.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 227 is divided by 79?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j**4 - 20405*j**3 - 81505*j**2 + 142745*j + 203850 = 0.\nAnswer: -4077, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 86 + -63. Is -2 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 1147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 30 - (5 + (0 - -10)). Let o(q) = -q**2 + 10*q + 63. Give o(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1728)\/20)\/3)\/((-4)\/(-440)*33).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*g**4\/11 + 84*g**3\/11 - 6*g**2\/11 - 84*g\/11 = 0 for g.\nAnswer: -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 300 - 596 + 36*b + 296.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 703 by -703.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10 + 8 + -6*(-4)\/8. Solve -x = 14*i - 49 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 168 divide 1092651000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18 by 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3144 + 3853 = 126*r + 203*r - 5213 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28191, 56382, 84573, 112764, 140955?\nAnswer: 169146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 11:48 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -290, -440, -492, -446, -302?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 3*a = 1 - 17, 0 = 3*a + 6. Find the third derivative of -66 - 17*l**5 + 0*l**5 - 15*l**k + 66 wrt l.\nAnswer: -1020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 561 = -55*s + 10*s + 28*s. Is -670\/21 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 4*l. Let i(j) = 1554*j + 1517*j - 3023*j. Calculate b(i(h)).\nAnswer: 192*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 577847 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -5310\/4861?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minus -0.17248428169?\nAnswer: 646.17248428169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24084351 and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*k**3 - 323728*k**2*w**3 + 2335659*w**3 - w wrt k.\nAnswer: 15*k**2 - 647456*k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 12*z**2 + 2*z - 2. Let w be p(-3). Suppose 0 = 4*r + 5*q - 98, -q = 5*r - 6*q - w. What is the remainder when r is divided by (-1 + -7)\/(3 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-4 - (-2 + -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33213768.\nAnswer: 2, 3, 7, 61, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36050 - 66691 - 87759 = -50*v. What is the highest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1875?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 172, 341, 508, 673?\n\"Answer: -a**2 + 172*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 3*r = 32, 0*k + 5*k + 2*r = 177. Let o = -31 + k. Solve o*u - 6 = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 r, 1 o, and 1 g when four letters picked without replacement from {r: 1, o: 1, m: 1, g: 1, h: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2586, 2586, 2578, 2556, 2514, 2446, 2346, 2208?\n\"Answer: -s**3 + 2*s**2 + s + 2584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vpvvvpvvvvpvvv.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 294565 is divided by 147243.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 5:02 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 10:49 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**0\/j*j*j**(-2\/9)*j*j*j*j**(-1\/3)*j*(j\/j**(-2\/19))\/j assuming j is positive.\nAnswer: j**(778\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 777047, 1554060, 2331073?\n\"Answer: 777013*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of 5*n**9\/42 + n**6\/60 - n**5\/10 - n**3\/3 + 22*n**2. What is the third derivative of z(a) wrt a?\nAnswer: 7200*a**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3498101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34649, -69370, -104105, -138860, -173641?\nAnswer: -208454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 + -29. Let x(i) = -8*i - 2. Let r(c) = -4*c - 1. Give s*r(d) + 6*x(d).\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 67  (b) -1  (c) -3\/5  (d) 0.04  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3 - -1)*(-3 - (-49)\/(-2)) is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.6 + -0.85. Let c = g - 1.7. What is the second smallest value in 1, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i - 2*i + 3*i)*(-3*i**2 + 2*i**2 + 0*i**2) + 3*i**3 - 2*i**3 - 2*i**3 + (-i**2 + 2*i**2 - 2*i**2)*(11*i - 18*i + 13*i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 909.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1308  (b) 0  (c) -4.1  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 + -2 + 1)\/(-2). Let z(h) = -3*h - 2. Let u be z(-3). Suppose -35 = 2*m - u*m. Solve i = -3*o - m + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72053*i**3 - 64030*i**3 - 63349*i**3 - 15*i**2 + 17*i**2 - 118193*i**3.\nAnswer: -173519*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/12 + 674\/6. Suppose 36 = 2*x - v. Does 33 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f + 18*f - 10*f - 3*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(4*((-1)\/1)\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 + -21. What is the remainder when 8 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -652 - -655. Suppose 6*f = 80 + 130. Is f > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-204)\/(-20) + 2\/(-10). Suppose -j - 28 = 5*n, 0 = 5*j - 5*n + 4*n + f. Let p(a) = -a**3 - 2*a**2 + a - 4. Let l be p(j). Solve 1 + 3 = l*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -233.66 - -233.07. Which is the smallest value?  (a) -2\/5  (b) w  (c) 0.01  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22222 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - (-1976)\/(-224))*-4.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4*(135\/(-36) - 0). Suppose t - 5 = s, 0 = 4*s - 81*t + 78*t + n. Solve z + 4*z + 5 = s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + h = -12, 2*d + 7*h = 2*h. Let z be (1 - 2)\/(1\/(-25)). Suppose 5 = -5*p + z. Calculate the lowest common multiple of p and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(5\/2)*h*h*h**(-2)\/h)\/(h**(5\/4)\/h**(-6)))\/((h**2\/h)**(-13\/2))**(-3\/13) assuming h is positive.\nAnswer: h**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 174, 141, -5, 98\/9.\nAnswer: -5, 98\/9, 141, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1366*s**3 - 669*s + 6380354?\nAnswer: -4098*s**2 - 669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 223105578 is divided by 2262.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -402, -791, -1166, -1521, -1850?\n\"Answer: h**3 + h**2 - 399*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -571 + 1083 + 1192 = -71*w for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 7:31 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of p**3\/6 + p**2\/4 - 1. Factor f(k).\nAnswer: k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 8*k**2 + 10*k + 4. Let d be (-6)\/(24\/18*4\/8). Give q(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (15\/2)\/(3\/4). Suppose 29 = 3*h - 4*q, 8*q + 13 = -4*h + 3*q. Let j = w - h. Solve -s = 2*s + m - j, 2*s + m - 5 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 7*w + 69. Let b be f(-9). Suppose b*x + 5*t - 955 = 3*x, t = -5*x + 1555. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 3:00 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of w**5\/35 - w**4\/21 - 10*w**3\/21 - 6*w**2\/7 - 3*w - 2. Factor n(z).\nAnswer: 4*(z - 3)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2054*m**4 - 927*m**3 - 5649464*m**2 wrt m?\nAnswer: 49296*m - 5562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17337342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -21*i**2 - 1. Determine p(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 5, -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (208\/(-156))\/(8\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2528882502?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mbmnnmbqmbmqmqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 + -12.5. Let c(r) = r - 9. Let w be c(7). Let l be (-6)\/(-21) - ((-264)\/315)\/w. What is the third biggest value in -5, l, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 272746 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 13, -0.3, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -69 + 75. Find the common denominator of 8085\/(-266) + p\/19 and -79\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 176931, 353670, 530405, 707136, 883863?\nAnswer: 1060586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 22. Is (h + 2 - -1)*-7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1736\/(-98) - -35) + -16. Let k(o) = -o + 7. Let b be k(3). Let m be 4\/(-6) + b\/6. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14937 and 1149.\nAnswer: 14937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(170)\/(sqrt(30)\/sqrt(3)) + (sqrt(153)*-2)\/sqrt(9).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 + 11*o + 7. Let z be i(-19). Suppose -u + z = w, -3*w + 159 = 5*u - 314. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/2541 and -65\/17787.\nAnswer: 17787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2)*(16*y**3 + y + 13*y**3 - 1 - 31*y**3 + 2*y**2 + (-5*y + 4 - 4)*(-2*y**2 - 2*y**2 + 2*y**2)).\nAnswer: 16*y**3 + 4*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*g - 20*g = 299680. What are the prime factors of g?\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5977, -23935, -53861, -95749, -149593, -215387?\n\"Answer: n**3 - 5990*n**2 + 5*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-11998)\/(-7) + 0 + -5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -447*k + 645*k - 1184*k + 1941 - 972*k - 436*k wrt k?\nAnswer: -2394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1688, -1700, -1728, -1778, -1856, -1968, -2120?\n\"Answer: -j**3 - 2*j**2 + j - 1686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -6*f + 3. Let t(p) = p**2 - 6*p - 9. Let a be t(8). Let n be 26\/a - 2\/(-7). Suppose -15 = 2*y - 5. Let b(x) = -5*x + 2. Calculate n*l(u) + y*b(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 15923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 q, and 1 w when three letters picked without replacement from xawxaakqa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1))**33\/(h**(-3\/5)\/(h**(-6\/7)\/h)))\/((h**(-1\/2))**(2\/3))**32 assuming h is positive.\nAnswer: h**(-2477\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) - (-1 + sqrt(162) + 0)) + -2*sqrt(162) + 5 + sqrt(162) + -5 + 0 + (2*(0 + sqrt(162)) - (-1*sqrt(162) + sqrt(162))*-2))**2.\nAnswer: 18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6801269*u**5 - 64938*u - 8?\nAnswer: 136025380*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 267 - 174. Let k(j) = 13*j**2 - 17 - 55*j**3 - 3*j - 58*j**3 + 114*j**3 + 11*j. Let r be k(-12). Calculate the greatest common factor of o and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1002 - 1005. What is the third smallest value in n, -0.2, 8, -0.5, 2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 0*y**2 + 3 - 4*y - y**2 - 5. Let f(w) = -77*w + 4847. Let g be f(63). Give i(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u, 1 j, and 1 i when four letters picked without replacement from qquxbuqjuuxquqiqux?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 AM and 4:20 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 10  (b) -7  (c) -4  (d) 1448  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**4\/3 - 1419620*o**3\/3 - 83972179222*o**2 - 503828816480*o\/3 - 251913698432\/3 = 0.\nAnswer: -354904, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 4*x**2 + 5*x + 1. Let s be c(-5). Which is bigger: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 506206 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -6628\/33 at least as big as -202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.7 - -0.7. Let n = p - -1. Let d = n - 3. Which is the third smallest value?  (a) 2\/13  (b) d  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = 20*w + 1395, -4*l + 142 + 73 = -3*w - 15 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 40901714 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.042681215 rounded to five dps?\nAnswer: 0.04268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000046534 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112\/(-84)*(-3)\/50.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43853 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61 - ((-113 - -32) + 66).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 431057046 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -668*l**2*v - 610446391*l**2 - 590*l*v + 8*v wrt v.\nAnswer: -668*l**2 - 590*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 0.2102147?\nAnswer: 1.0510735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 146 = 2*p - p, p = 4*r - 116. Calculate the remainder when 58 is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -7*h**2 - 5*h - 9. Let n(s) = -13 - 4 - 87*s**2 + 74*s**2 - 9*s. Determine -6*n(z) + 11*o(z).\nAnswer: z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 50 + -38. What is the least common multiple of k and 0 - -1*6\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 88*y**2 + 111*y**2 + 3.\nAnswer: 199*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*((d**(-3\/11)\/d*d*d)\/d)\/d))\/(d*d\/((d\/d**7)\/d*d*d)))\/(d*(d*d*d**(-11\/3)*d)\/d*d*d*d*d*(d*d*d**8)\/d*d) assuming d is positive.\nAnswer: d**(-629\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 120, 461, 1038, 1857, 2924, 4245?\n\"Answer: n**3 + 112*n**2 - 2*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of -19*p**6\/30 - 19*p**4\/12 - 15*p. Find the third derivative of s(v) wrt v.\nAnswer: -456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 4*o - 7. Let k be q(6). Suppose 0 = -5*d + j + 132, 108 = d + 3*d - 2*j. Let a = d - 21. Solve 0 = -4*x + 2*u - 7 - 11, -k*u = a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2959632 divided by -7956.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -234 (base 8) in base 3?\nAnswer: -12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3489*m**3 - 527*m**3 + 287*m**3.\nAnswer: 3249*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 785192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**3 + 2*d**2 + 16*d**3 + 16*d**3.\nAnswer: 31*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 11053411 (base 6) to base 14\nAnswer: 8995d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of i**4\/2 - 8*i**3 + 9*i**2 + 44*i - 1078. Find q such that u(q) = 0.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n - 3. Suppose -h - 3*r = 10, 0 = 5*h - 14*r + 9*r - 30. Let x(c) = 2. Let g(a) = h*x(a) + 2*w(a). Calculate g(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -64*y - 41. Let h(d) = d**2 - 18*d - 7. Let m be h(18). Let x(i) = -i**2 - 4*i + 8. Let t be x(m). Is f(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 239790582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 - 1. Suppose 0 = 5*u - 2*u + x + 109, 4*x = -5*u - 184. Let g = s + u. Solve q + 0*c + c - g = 0, 0 = -c + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -12*z + 156. Let o be u(5). Let w = 13 + -10. Calculate the greatest common divisor of w and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/((-6)\/4 - -1). Let h be k + 28\/(-20)*-1. Which is the third biggest value?  (a) -0.5  (b) 0.1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -12, -2, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192 - v**3 - 49 - 143.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 9:27 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*3*76\/18*12. Let f be g\/(2\/825*27\/900). Round f to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7755288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 33 - ((-75)\/(-45) - 26)*3\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 less than or equal to 1.288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1243 (base 7) to base 11.\nAnswer: -39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.1 - -3. Let s be 403\/52 - (-2)\/8. Suppose -l + 22 = 4*f + f, 2*l - s = -f. What is the biggest value in r, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2419854?\nAnswer: 2, 3, 403309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -139.4 and -874152.88?\nAnswer: 874013.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 25 + -61. Let a be (120\/i)\/((-4)\/(-6)). Let b = 0.22 + 0.08. What is the second biggest value in a, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3051507?\nAnswer: 3, 41, 24809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*((u\/u**(-3\/7)*u*u)\/u)\/u*u*u\/u**(-12))\/((u**(3\/5)*u)\/u)**2 assuming u is positive.\nAnswer: u**(568\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/19, 3582, -7, -0.4, -0.3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0104763507 to six dps.\nAnswer: -0.010476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14659 + -14656. What is the nearest to -0.1 in -141\/2, -4\/5, 2\/13, f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 420 - 407. What is the remainder when 764 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/3627 and -20\/10881.\nAnswer: 10881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 104*i**2 - 496*i - 34. Calculate x(5).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 5 - 2*h + 7\/4*h**4 + h**2 - 1\/3*h**3. Let t be n(1). Solve s - 6 = 2*v, -v + 2*s = -0*s + t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 + 14*h + 37. Let y(c) = -3*c**2 + 28*c + 75. Let f(a) = 5*w(a) - 2*y(a). Let g be f(-11). Solve -2*m = g*m + 3*q + 17, 5*q = -15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1220644 and 32882?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -2*o - 2*o, 0 = 3*j - 3*o. Solve -4 = -g - j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -2*y**2 + 5*y + 12. Let g be k(4). Suppose 7*a - 12*a + 10 = g, 0 = c + 4*a - 11. Let f(w) = -2*w + 3 + 2*w - 4*w. Calculate f(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 581\/8 + -73. Let l = -0.7 - -0.7. Let c = -0.2 + 0.3. What is the nearest to l in -0.2, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/7, -15, -3\/2, -1\/2, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/6)\/(-44*420\/12320).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/9, 140, -2\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + d = -6, u + 2*d = 3 + 7. What is the second derivative of -u*q**2 + 7*q + 2*q + 15*q**2 + 4*q**2 wrt q?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 65 + -453\/7. Which is smaller: r or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1543*i**3*k - 17*i**3 + i**2*k + 19*i**2 - 2*i*k - 2*i - 31*k - 4 wrt k?\nAnswer: -1543*i**3 + i**2 - 2*i - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*y + 0)*(y + y + 0*y)*(4622*y + 130 + 28 - 158).\nAnswer: 18488*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 309309 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -40, 3\/5, 0.2, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 29*l**2 - 7*l - 15. Suppose a + n = 3*n - 12, 5*a + n = -5. Let b(m) = -m - 1. Let z(x) = a*b(x) + c(x). Is z(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 321 is divided by 115.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11b4b (base 12) to base 8.\nAnswer: 57053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30\/1538161 or 1?\nAnswer: -30\/1538161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l. Let p = 32 - 23. Suppose -3*j = -0*j - p. Let b(k) = -j*k - k + 3*k. What is b(h(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24852 + 25708.003. Let r = -783.97 + h. Let i = -72 + r. Round i to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*-256\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 - 20*p**2 - 34*p + 40. Let w be f(-18). Suppose -20 + 80 = 15*l. Solve 10 = l*h - 6, 4*j = w*h - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 - 2*w. Let b be y(2). What is the second derivative of -88*j - 16*j**4 + 43*j**b + 6*j wrt j?\nAnswer: 324*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -2*b - 502123695, 0 = m + 5*b - 40405134 - 60019605. Suppose -5*z - m + 25424739 = 0. What is z rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 46644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -311.1579938 and 29.14?\nAnswer: 340.2979938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 1428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -2*w**3 - 121*w**2 - 42*w + 999. What is p(-60)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19*k - 12*k**4 + 7*k**4 - 2 + 2 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31613*g**3 - 31622*g**3 + 40*g**2 + 28*g**2 - 68*g**2.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20 and 155685710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -584, -2454, -5570, -9932, -15540, -22394, -30494?\nAnswer: -39840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 4*a - 65 = 15, 0 = -x - 3*a + 16. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*r = -321 + 443. Solve -5*p - 2 = -r*p + 4*l, -5*p + 6 = 2*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 1 - (5 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eyl when three letters picked without replacement from {y: 4, e: 2, l: 1, a: 3}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 30 + 10. Suppose -o*d + 8 = 2*h, -3*h = 2*h + 5*d + 10. Let v = -6 - h. Solve 2*r - 2*z - 19 + 5 = v, 4*z = -4*r - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 29, 39, 55, 77?\n\"Answer: 3*p**2 + p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(114)\/sqrt(6)*-6 + -3.\nAnswer: -6*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 - 32. Which is the third biggest value?  (a) m  (b) -2  (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 + 8*w**2 - 10*w + 6. Let f be s(6). Suppose 2*z - 5 = -2*j - 45, -z - f = -j. Let g = z + 37. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 610797 or 610796?\nAnswer: 610797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18563.\nAnswer: 19, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 275304 and 825912.\nAnswer: 825912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 16113 (base 14) in base 3?\nAnswer: 2210120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 5*z**2 + 3*z - 19. What is v(-7)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, r: 1, p: 1, b: 4, v: 1}. What is prob of sequence frfv?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 11:45 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 19536 and -1118502401.\nAnswer: -1118482865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 4*o = 2*j - 20, -4*j - 4 = -3*j + 2*o for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/2, 0.5, -3\/8, -191, 18\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1663.5 minus -0.066098118?\nAnswer: -1663.433901882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 2888.279 micrometers?\nAnswer: 0.000002888279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ymyyyymyyym. What is prob of picking 3 y?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2905 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26262?\nAnswer: 2, 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.91967 rounded to 1 decimal place?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 32*y**3 - 4*y**2 + 5*y. Let o be k(2). Let b = 358 - o. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 664.31 - 8.31. Let l = 658 - y. Which is the second biggest value?  (a) l  (b) 0  (c) 1\/6  (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 48463 - 22674. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 62700 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*p - 8784 + 8770 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 26 = -2989*l + 2993*l, l = -d - 13 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**5\/4 - 9*i**4\/4 - 13*i**3\/2 - 17*i**2\/2 - 21*i\/4 - 5\/4.\nAnswer: -(i + 1)**4*(i + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -190 and -0.1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 8*y - 3. Let g be t(2). Let u = -66 + g. Let v = -28 - u. Solve -v = -5*j + k, 4*j - 5*k - 16 - 25 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1368283854?\nAnswer: 2, 3, 7, 2671, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3408 by 3408.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + -16. Let i(m) = -7*m - 3*m**2 + 2*m**2 + 0*m**2 + 6. Let l be i(t). Solve -o + 13 = -3*w - 2*o, 2*w - 2*o = -l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 AM and 2:48 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185*q - 762 = -182*q. Let a = q - -255. Let j(c) = -12*c - 1. Give j(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1666 by 9978.\nAnswer: -833\/4989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 70*m - 2 - 36*m - 37*m. Let k(t) = -7*t - 5. Calculate -2*k(h) + 5*y(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1714643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1702*q**3 + 1731*q**3 - 3366*q**3.\nAnswer: 67*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 36.8 + -149.8. Let k = 112 + j. Which is the nearest to k?  (a) -3\/4  (b) 4  (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1\/3))**(-37))**(-2) assuming j is positive.\nAnswer: j**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1762723.\nAnswer: 1009, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -18b + 5?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*l + 12. Let g = l - 12. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/15 - 396\/(-165)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*t + 7 - 14 + 45*t**2 - 7*t + 7 in the form s*t + h + j*t**2 and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -72 + 411. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/869756 and 109\/44?\nAnswer: 9567316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*p + 11*p + 33*p + 1395 = -30*p for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/2*(-39 + 39).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 + -7. Let s = 7 - f. Let a = s - -1.9999992. What is a rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 522.9 + -523. Let o be 1\/(-4)*(-128)\/(-144). Put 42, j, o in increasing order.\nAnswer: o, j, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13*p**6*s**2 - 10309*p**4*s**3 + 56*p**2*s**3 + 79*p*s**2 + 2*s**3 - 2 wrt p.\nAnswer: 1560*p**3*s**2 - 247416*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26 + -5. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 5*p**3 + 20*p**2 - 83*p - 476. Calculate b(-7).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 + 6*q**2 - q - 9. Calculate the least common multiple of z(5) and 17.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 779, 4, 5, 1, -18, 0 in increasing order.\nAnswer: -18, -3, 0, 1, 4, 5, 779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31000300 (base 5) to base 6.\nAnswer: 5205431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 13. Let z = 19893 - 19892.9. What is the smallest value in y, z, 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 142358021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 162373649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4166 + -4133. Solve 26 + 7 = -q*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 387883575 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l - 919*l**2 - 2*l + 981*l**2.\nAnswer: 62*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 55\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**2\/3 - 14516*z\/3 + 26339282\/3 = 0.\nAnswer: 3629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1397812, -1397762, -1397694, -1397602, -1397480, -1397322, -1397122?\n\"Answer: m**3 + 3*m**2 + 34*m - 1397850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 312*u - 1463*u - 91*u.\nAnswer: -1242*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 5*q = s - 116, 136 = s + q. Let f = 143 - s. Solve -f*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**2\/2 - r\/2 + 1 = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 - 4*j - 3. Let r = -1 - 1. Let g = r + 0. Let y be b(g). What is the greatest common factor of 26 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77.8981 - 81758.448?\nAnswer: -81836.3461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7959 + 7959 + 3147*d to s + k*d and give k.\nAnswer: 3147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/14590 and -113\/70.\nAnswer: 102130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*n**3 + 6*n**3 - 14*n**3.\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -569*-0.2.\nAnswer: 113.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -5*h - 4. What is the units digit of (-148)\/h*72\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**14)**(8\/11)\/(m**(-20))**(27\/4) assuming m is positive.\nAnswer: m**(1597\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -5*c + 1 - 5 + 13483*c**2 + 2. Let y be d(-3). Suppose -4*p + 86640 = -y. Round p to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 - -3) + -4 + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -4*f + 585. What are the prime factors of f?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - -16a57881?\nAnswer: 16a57885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -3*f**3 + f**2 + 1. Let r(t) = -t**3 - t**2 - 1. Let q = 1 - 2. Let v = -135588 - -135587. Give q*a(p) + v*r(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 6) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, a: 1, h: 7}. What is prob of picking 1 b and 1 h?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -251777296, -503554593, -755331890, -1007109187, -1258886484?\n\"Answer: -251777297*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of c**5\/20 - 5*c**4\/12 + c**3\/3 - 7*c**2\/2 - 24*c. Let d(x) = -x**2 - 5*x + 5. Let j be d(-5). Let i be o(j). Is 3 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 39*x - 1. Let p be c(2). Let r = -33 + p. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102 (base 4) to base 11.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40 - 37 + 100 - 2*o)*(0*o**2 - 2*o**2 + 0*o**2).\nAnswer: 4*o**3 - 206*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.0895*-4.1358.\nAnswer: -4.5059541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8676 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 160*b**5 + 2*b**4 - 68*b**5 + 8*b**3 - 985*b**2 - 27*b**3 + 8236*b**2 wrt b?\nAnswer: 5520*b**2 + 48*b - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156704\/(-3245) + 42 - 30\/33.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**5 + 1160*d**4 + 3*d**3 - 117*d**2 + 1004*d + 1 wrt d.\nAnswer: -120*d**2 + 27840*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -10*c - 8*c**2 - c**3 - c**2 - 2*c**2 - 2 + 0*c**3. Let a be k(-10). Let u be (-10)\/(-15) - (-4)\/3. Put u, a, 4 in descending order.\nAnswer: 4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**2 - 19368780*s - 31262469890700 = 0. What is s?\nAnswer: -3228130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42996*t**3 + 86015*t**3 - 43021*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 147 - 58 - 15*x + 42*x - 62 in the form c + m*x and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 67*s**2 + 2*s + 2. Let d(i) = -269*i**2 - 9*i - 9. Determine -2*d(k) - 9*m(k).\nAnswer: -65*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 142.5886 litres to millilitres.\nAnswer: 142588.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 + 0*t**4 + 10 + t + 3*t**4 to the form c*t**2 + f*t**3 + y*t + r*t**4 + h and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 5*d = -19, -3*n = 3*d - 6*d - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - g + (1 - 1 + 1)*(-g + g - g) - 2*g + g + 0*g + g + 5 - 5)*(2*g + 5*g + 0*g).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(288) + -2 - ((sqrt(288) - (3*sqrt(288)*-4 - sqrt(288)))**2 - sqrt(288)) - (-5 + (1*sqrt(288))**2 + 1)*5.\nAnswer: -57870 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}