{"text":"Question: Let q be (-13 - -14) + (3 - -1). Which is the second biggest value?  (a) 1\/14  (b) q  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 805340?\nAnswer: 2, 5, 67, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 5. Which is the second biggest value?  (a) 5  (b) w  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 102 - 100. Solve 23 - 29 = -u*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (55*u + 6*u + 6 - 35*u)*(u**2 + 3*u**2 + u**2).\nAnswer: 130*u**3 + 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -61210587 or -61210586?\nAnswer: -61210587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3484 by -1742.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 183768 a multiple of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(147)*-2 - (sqrt(30)*-1 + sqrt(30))\/sqrt(10).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -25*j**2 - 15*j + 13. Let y(h) = 16*h**2 + 10*h - 8. Determine -5*t(o) - 8*y(o).\nAnswer: -3*o**2 - 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 2*o - 14 = 0, -3*b + 3*o - 5*o + 12 = 0. Suppose 2*z + 10 = -b. Let u be z - -7 - (0 + 411). What is u rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 27 = 3*v, 39 = 5*v + q + 11. Suppose -g = -5*u + 70, -26 = -g - 31. Suppose -v*w + u = -27. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -3*n + 4*z + 41, -n = 2*z - 17. Suppose -n*a = -10*a + 19500. What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - -44520565?\nAnswer: 44520565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9027 rounded to 2 decimal places?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -6*(3 + 4 + -3*-2*sqrt(112)*-5)**2*4.\nAnswer: -2420380 + 40320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 12597.\nAnswer: 5\/12597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 268 and 1608.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4\/7 + 2\/21. Let x = -10.9 - -11.5. What is the nearest to s in 4, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -86, -175, -266, -359, -454, -551, -650?\n\"Answer: -z**2 - 86*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 456*m + 133*m - 2 - 75*m + 577*m - 220*m.\nAnswer: 871*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1103*y + 2207*y - 1103*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115*i**2 - 26*i**2 - 26*i**2 - 24*i**2 - 27*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 139  (b) -3  (c) -2\/9  (d) -9  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -4*j**4\/5 - 296*j**3\/5 + 3644*j**2\/5 - 8304*j\/5 - 2448 = 0?\nAnswer: -85, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 248 - 114 = 133*c - 930 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -52086, -208300, -468626, -833040, -1301518, -1874036, -2550570, -3331096?\n\"Answer: 4*g**3 - 52080*g**2 - 2*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/120 and -113\/1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -331 - -336. Solve 0 = -t - i, -2*y + 3*t + 6 = -1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -120, -93, -58, -21, 12, 35, 42?\n\"Answer: -v**3 + 10*v**2 + 4*v - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**2 - 121. Let k(z) be the second derivative of -7*z**3\/3 + 3353*z. What is n(k(s))?\nAnswer: 392*s**2 - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -721, 3\/2, 23, 4\/11 in descending order.\nAnswer: 23, 3\/2, 4\/11, -721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47 + -49. Is 2 - (l - 0) - -475 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -1628*i + 42321. Determine u(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**3 + 0*p**4 - p**4 + 2*p**4 + p**4 - 3*p**4 + 0*p**4 + (2*p**2 + 2*p**2 - 2*p**2)*(-6*p**2 + 4*p**2 - p**2).\nAnswer: -7*p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 50 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - (-27 + 7 + -4)) + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216408 is divided by 29928.\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -89764, -179533, -269298, -359059, -448816, -538569, -628318?\nAnswer: -718063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -33117\/7880?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 133353230?\nAnswer: -133353233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**2 - 4*v**2 + 11*v - 15*v.\nAnswer: -v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = -5*m - 24, -54 = 2*m - 4*n - 62 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 3)*(3*x**4 - 5*x**4 + 3*x**4) + 11531*x**3 + 11524*x**3 + 2*x - 23056*x**3 - 115*x**4.\nAnswer: -117*x**4 - x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 766*v + 107*v**2 + 762*v - 1529*v + 6 + 194*v**2 - 2.\nAnswer: 301*v**2 - v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1))**(-6\/13)\/(j*j**0*j*j)**11 assuming j is positive.\nAnswer: j**(-423\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 666603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 22\/5 of a microgram?\nAnswer: 4400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Factor -6*s**2\/13 + 16*s\/13 + 22\/13.\nAnswer: -2*(s + 1)*(3*s - 11)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*t**2 + t**2 + 3*t + 5*t**2 + t**2 wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -6 + 5 + -2 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 9 = 5*k, -2*a = -4*k + 8*k - 28. Solve 0 = k*f + 4*i + 5, -f + 2*i - 17 = 6*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.17 + 1.17. What is the closest to -2 in i, 2\/19, 2\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -2*c**3\/11 + 143984*c**2\/11 + 719962*c\/11 + 575976\/11 = 0?\nAnswer: -4, -1, 71997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*i**3 + 30195*i**2 - 113562*i - 408240.\nAnswer: 3*(i - 6)*(i + 2520)*(4*i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + -41. Let n = -29 - r. What is the smallest common multiple of n and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000757189 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvkkcvbsekbbeb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 4 + l + (-3 + 1 + 1)*(-2 + 2 - 2*l) + 0*l + 6*l - 2*l + (5 + 1 - 4)*(0*l + 2*l - 4*l) to d + p*l and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**4\/7 + 772*n**3 - 7470315*n**2\/7 + 454407300*n\/7 + 2459470500\/7 = 0. Calculate n.\nAnswer: -5, 69, 2670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*o = 59*o + 25. Let d(z) = -8*z**3 - 6*z + 1. Let u(v) be the third derivative of -7*v**6\/120 - 5*v**4\/24 + v**3\/6 + v**2. What is o*d(p) - 6*u(p)?\nAnswer: 2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -27 in 0.4, -514\/23, 0.1, 0.7, 2\/7, -4\/3?\nAnswer: -514\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/4746 and -103\/126?\nAnswer: 14238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 259.893 + -505.187. Let t = -242.4 - g. What is t rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**3 - 4*v**3 - 4*v**3)*((-1 + 1 + 4*v)*(-3*v - v + 3*v) + 10*v**2 - 13*v**2 + 5*v**2 - 2*v**2 + 2*v**2 + v**2).\nAnswer: 5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from qjqeqqqkwqjskjejekj.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28.3 + 6.2976. Let c = 22 + q. Round c to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.7 - 4. Let p = -3.17 - -7.17. Sort -4, o, p in decreasing order.\nAnswer: p, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 5*o = 6*o - 45, 4*o = 4*m - 60. What is the remainder when 34 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14787, -29612, -44437?\nAnswer: -59262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 23, 2, -4, -6, -10 in increasing order.\nAnswer: -13, -10, -6, -4, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166*w = -192*w + 104 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, w: 1, c: 3, l: 2}. Give prob of sequence wkck.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 - -17. Let f = 7 + v. Let a = -6 + 8. What is the nearest to 0 in -5, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -159  (b) 2  (c) -57\/310  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + j**4 - 2 + j - 4 to the form a*j**4 + w + r*j + d*j**2 + f*j**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 51\/4  (b) 3\/5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - (1 - 2\/2). Let v be g*4 - 4\/2. Factor -2*a**2 + 2*a**2 + 2*a**2 - v*a.\nAnswer: 2*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5043*l**3\/4 - 1353*l**2\/2 + 363*l\/4.\nAnswer: 3*l*(41*l - 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence juau when four letters picked without replacement from {u: 1, j: 2, a: 2, i: 1, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -434 - -436. Let m be ((-4)\/(-6))\/(4\/18). Find the second derivative of -v*r**3 + 10*r + 7*r**m + 0*r**3 wrt r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1245 (base 6) in base 3?\nAnswer: 102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-12)\/(-20) + (-3927)\/(-5). Suppose 0*v + 3*v = -5*y - 7, -3*v = 3*y + 9. Is x\/v*(-2)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 315, 1 in descending order.\nAnswer: 315, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 306 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2, 129, 332, 605, 942?\n\"Answer: -g**3 + 44*g**2 + 2*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, y: 3, u: 3, r: 4, c: 1, w: 2}. What is prob of sequence uruy?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 268.5, -1, 1\/10, -2\/5?\nAnswer: 268.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 2*y - 7880 = -0*y, 2*p - y - 7889 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 8 - 6)*(0 + 4 - 6)*(f**3 + 3*f**3 - 5*f**3) as a*f**3 + m*f + r*f**2 + j and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bkh when three letters picked without replacement from bkjblbh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 17*x**2*z - 79*x**2 + 2*z**4 wrt z?\nAnswer: 17*x**2 + 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -4 + (-1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -262922, -262930, -262938?\n\"Answer: -8*i - 262914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -73 + 215. Let d = y - 139. Suppose 5*v + 26 = g, -g + v = 4*g - 82. Calculate the remainder when g is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 130.9 - 135.9. Which is the second smallest value?  (a) k  (b) -45  (c) -0.3  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of -a**4\/3 + 4*a. Let s(y) = 9*y + 7*y - 18*y. Calculate g(s(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1088\/(-952))\/(8\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -93d2 (base 15) to base 8.\nAnswer: -75017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 - 2*q + 1. Let b be w(-2). Let j be -6*b\/(9\/(-24)). Let y = 0 + j. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 7*l**2. Let w(c) be the first derivative of c**5\/30 + 15*c**2\/2 + 15. Let k(a) be the second derivative of w(a). Calculate k(d(h)).\nAnswer: 98*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22.9 + -22.9. Which is greater: n or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f**2 - 161457*f. Let t(x) = 3*x. Give t(v(z)).\nAnswer: 6*z**2 - 484371*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -4*q**5\/5 - 25*q**4\/3 + 44*q**3\/3 + 14*q**2 - 32*q - 130. Let y(k) be the first derivative of z(k). Solve y(c) = 0.\nAnswer: -7, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-8))\/(2\/(-8)). Let x(q) be the second derivative of q**5\/20 + q**4\/6 + 304*q + 1. Determine x(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -14*j - 11. Let h be 1*(-1 + 2)\/1. Let y = -6 + h. Is x(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 7:57 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of 3*k**4\/4 + k - 4. Find the first derivative of t(w) wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, h: 2}. Give prob of picking 4 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19849*c*w**2 + 150818*c*w + 3*w**5 - 2*w**3 wrt w?\nAnswer: 39698*c + 60*w**3 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 - y + 94. Let w be z(0). Let n = 30 + -25. Let j be w\/8 + n\/20. Calculate the greatest common factor of 96 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/7*14\/(-4). Factor 0*s + 0*s**3 + 0 + 1\/3*s**o - 1\/3*s**4.\nAnswer: -s**2*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 3. Let v be 3\/9 + 8\/3. Suppose 2*b = -v*b + 60. Solve h*o = -o + b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -178*f**3 + 6*f**2 + 23*f + 22. Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 + 2298 = 224*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -193, 0, -4, 68383, 2 in increasing order.\nAnswer: -193, -4, 0, 2, 68383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 16319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 + 3 + (-5 + 4 - 1)*(-3 + 5 + 0) + 2 - 2 + 2 + (4 + 0 + 1)*(-7 - 1 - 5))*(3*s**3 - 4*s**3 + 2*s**3) to b*s**3 + k*s + y*s**2 + t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -5  (b) 353.71  (c) 2\/11  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 1\/4  (b) -3  (c) -6  (d) -1\/8  (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9\/20 - -17\/20. What is l in i*l**2 + 4\/5*l + 0 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1041 - -1056. Solve 4*v = 5*o - 12, -o = 2*v - s + 21 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 115104398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-10)*(-55)\/(-66).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1642, 1643, 1644, 1645, 1646?\n\"Answer: a + 1641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/192 and 3\/9 - 591\/105*185\/444.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 20\/(4\/2 - 3). Let j be (-6 - -1)*16\/x. Suppose -5*k = -j*k + 1. Are -3 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 151881594784+346\nAnswer: 151881595130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) + 0 - sqrt(931))*5 + sqrt(931)*-1 + -3)**2 + -4.\nAnswer: 42*sqrt(19) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*h + 0*h - 4*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/5  (b) 3.8  (c) 1\/7  (d) 5  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(1*2\/(-10)). Let x = -0.32462 + -0.07538. What is the third biggest value in v, x, 10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 19131048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -4 + (66 - 2173\/41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3655.2 + -3657.2. What is the closest to 0 in -4, k, 5, -3.7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48 by 528019.\nAnswer: -48\/528019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 114970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minus 78949713800?\nAnswer: -78949713672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -v**4 - 707*v**3 - 178665*v**2 - 18536225*v - 616179250 = 0.\nAnswer: -215, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -747*w + 743*w. Suppose -p - 15 = -w*p + 5*g, -5*g + 25 = 0. Solve -j - p = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(143) + -1*(-1*sqrt(143) - sqrt(143)) + sqrt(143) + (-1*sqrt(143) - sqrt(143))*2))\/(-4*3*sqrt(1331)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 745 - 410. Suppose 106 - b = -2*r + n, 2*n = 5*r - 570. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/50*((-220)\/(-22) - 0)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 29943 and 108.\nAnswer: 119772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2511*q**2 - 4*q + 353. Let s(i) = 5021*i**2 + 8*i - 652. Let n(j) = -6*s(j) - 11*z(j). What is the second derivative of n(v) wrt v?\nAnswer: -5010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvcffsfvvzvvvzvv.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8539441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28 - 28 - (-2 + (-2 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6141.31999 + 6141. Which is greater: p or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1136 is divided by 142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 7:57 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 482*m - 484*m + 1 + 6*m**2 + 0*m**2 + 0 as q*m + a + j*m**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -73085 + 124272. What are the prime factors of l?\nAnswer: 17, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 98 or -1\/95?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (7 + -1)\/3 + 1. Let p(n) be the second derivative of n**5\/20 - 5*n**4\/12 + 5*n**3\/6 - n**2 - 36*n. Calculate p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 1 + 5. Let c(v) be the third derivative of v**4\/24 + 5*v**3\/6 - v**2. Calculate the lowest common multiple of c(p) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*b**2 + 30250*b - 30291*b + 8*b**2 - 5*b**2 + 10*b**2 to t*b**2 + l*b + u and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13962 = -4*w - 5*x, 4*x - 17430 = -5*w + 9*x. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 50 + -34. Let z be (k\/6)\/(24\/(-36)). Let x(y) = -113*y - 3. Is x(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1156*w**2 + 861*w + 260*w**2 - 737*w**2.\nAnswer: -1633*w**2 + 861*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 8*c + 10. Let q be g(4). Let w(s) = -3*s - 15. Let t be w(q). Solve v - t*d + 6 = -d, 3*v - d - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 14*j - 23. Let i be t(-12). Let y = -168\/17 - -10. Which is bigger: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23384 + 49616. Is p a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 712175176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 - -0.23922997.\nAnswer: -0.06077003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(-1) - (-3 - 1). Let g be 3 - p\/(2\/1342). Let h = g + 98. What is h rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 8 = -4*j, 4*f + j - 3 = 6. Find the third derivative of 87*q**4 + 4*q**3 + 4 + f*q**2 - 4*q**3 - 120*q**4 wrt q.\nAnswer: -792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65287483?\nAnswer: 3163, 20641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of 0 + x**5 - 32*x + 1\/2*x**2 - 1\/6*x**3 + 1\/12*x**4. Give a(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**4 + h**2. Suppose 10 - 2 = 4*d. Let j(p) = -2*p**3 + p**3 - p + d*p. Let v(y) = -j(y) + s(y). Let v(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 106*z**2 - 2*z + 1. Let m be w(1). Suppose -9*q + 5*u = -5*q - 188, 4*q + 5*u - 148 = 0. What is the greatest common divisor of q and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23.8 - -59.7. Let l = t + -26.9. Sort -1\/6, 0.1, l, -4.\nAnswer: -4, -1\/6, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -167\/810 and 133\/98010.\nAnswer: 98010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (29 - 0) - (-3 - 9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, a: 4}. Give prob of picking 4 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -53 + 180 - 66 - 1805*l - 61 to v*l + b and give v.\nAnswer: -1805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 divided by 13.\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*h - 384 + 728 - 79*h - 343.\nAnswer: -139*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -16430\nAnswer: 3\/16430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = i + 13*k, 20*k - 14 = -2*i + 15*k. Sort i, -6, 1, 5, -4 in descending order.\nAnswer: 5, 1, i, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 143782 and 143782.\nAnswer: 143782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24333519*d**3 - 5*d - 711689247 wrt d.\nAnswer: 73000557*d**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3166 - -3266. Calculate the lowest common multiple of j and 44.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 15721 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - 2 - -4 - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(1\/20)\/(l**(-7)*l)*l**9*l*l**4 assuming l is positive.\nAnswer: l**(401\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 2*f - 4*l + 8, 3*f - 3*l = -3. Suppose -10 = -f*p + p. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8146*n**2*w**3 - 23*n**2 + 87*n*w**2 wrt w.\nAnswer: 48876*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 - -15. Is ((-7)\/n)\/((-50)\/26 + 2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.93 - -0.884. Let g = -59.8 - -60.346. Let q = g + s. What is the nearest to 2 in q, -5, -0.01?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3880710?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 880*v = 864*v + 34896. What are the prime factors of v?\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2590252 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/14)\/(((-440)\/180*3)\/((-21)\/9))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + -2. Suppose 4*d + 3*k - 79 = 0, -4*d - c*k + k + 85 = 0. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 7*v**2. Let x(b) = 1398*b**2. Calculate x(t(h)).\nAnswer: 68502*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -241 and 0.337036.\nAnswer: -81.225676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.4 - 1.4. Let a = -441 + 440.6. What is the closest to w in 0.3, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22841 = 493*t + 31715 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a factor of 127602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 6\/5*z**5 + 5 + 0*z**3 + 0*z**4 + 0*z - 2*z**2. What is the second derivative of p(l) wrt l?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7664?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.3 or -1\/79188?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*m**2 - 2*m + 35*m**2 - 4*m**2 - 41 - 42.\nAnswer: 9*m**2 - 2*m - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 PM and 2:34 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -14*h + 47. Let y be m(3). Suppose 0 = -2*w - y*b + 1744, 9*w - 4*w + 5*b - 4330 = 0. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 5) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -79 - -83. Let z = -2 - -2.4. What is the second smallest value in z, x, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u\/((u\/(u\/(u**(1\/14)*u)*u*u*u))\/u))*u**5)**35*u**(1\/5)*u**(-6)\/u*(u*u**(-1)\/u)**(-1\/53) assuming u is positive.\nAnswer: u**(16281\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**2 + 0*r**2 + r**3)*((6 + 2 - 3)*(-r - 3*r + 2*r) - 47*r + 65*r - 34*r).\nAnswer: -26*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-67*f - 9 + 9 - 68*f)*(-2*f + 4 - 4) as g*f**2 + b + n*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 312*w**3 - 10*w**2 + 5*w. Let a(b) = -b**3 + 2*b**2 - b. Calculate 5*a(p) + h(p).\nAnswer: 307*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 217\/42 - 1 - 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 + 19. Let s be m\/(((-10)\/15)\/(-2)). Suppose 823 = 5*z - u, s*z - 322 = z - 2*u. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*n - 0*n + 2*a, 4*n + a = 6. Suppose n*o - 175 - 12 = -5*c, 0 = 5*c + o - 186. Let r = 1 + c. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 287977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t**2 - 15*t**2 + 20*t**3 - 21*t**3 + (-2*t**2 + 2*t - 2*t)*(4*t + t - 3*t) - 3*t**2 + t**3 + 3*t**2 - t**3 - 2*t**3 + 5*t**3 - 2*t**3 + 1 - 1.\nAnswer: -4*t**3 - 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 176134 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nwnu when four letters picked without replacement from {j: 4, u: 3, w: 1, n: 7, t: 1}?\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*a**2 - 2*a - 3 + 15 - 10 + (3 + 0 - 5)*(-a**2 - 4 + 4) - 2*a**2 + 2*a**2 + a**2.\nAnswer: 19*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/1 - (7 + -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, 2\/3, 0.006, -2\/9, 0.05, 28.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 5*s - 3. Let w(h) = 96*h - 56. What is 56*i(y) - 3*w(y)?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 4*m = 0, 3*m + 4 = 2*n - m. Let u(k) = k**3 + 8*k**2 - 27*k - 216. Let x be u(-8). Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 4*j**2 - 6*j + 1. Let n be (-1)\/((-4)\/(-12)) + 8. Let m be s(n). Let w be m\/6*9\/12. Which is the smallest value?  (a) 1\/8  (b) w  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.2 - 0.05. Let j = r - 0.333. Let c = j - -0.18219. What is c rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 416*i + 1749. Give s(-5).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**2 - y**2 + 2*y**4 + (2*y**2 - 4*y + 4*y)*(0*y + y**2 + 0*y) - 6*y**4 + 3*y**4 + 4*y**4 - 11*y**4 + 5*y**4 + 27*y**4.\nAnswer: 26*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6859?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 311278689 and 17140?\nAnswer: 311261549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 - 15*z - 18. Let d be s(16). Let k(p) = p**3 + 2*p**2 + p. Give k(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/((-42)\/(-24))*1\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100001100101101 - -101000?\nAnswer: -100001100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -5, -x = -5*x - 2*r + 70. Suppose 5 + 5 = 2*m. Suppose 3*b + m*l = 43, -b = -2*l - 1 - x. Calculate the greatest common divisor of 64 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/25)\/(((-2457)\/(-975))\/((-217)\/310)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 161753 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u + 8. Suppose -2 = 2*j - 2*n, 5*j + 18*n = 14*n - 50. Let p(q) = 3*q - 23. Calculate j*p(r) - 17*o(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*a**4 - 168*a**3 - 3*a + 1 + 131*a**3 + 1 - 27*a**2 = 0. Calculate a.\nAnswer: -1, -2\/3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 4*b**2. Let u(s) = 1661*s**2. What is z(u(v))?\nAnswer: 11035684*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -2*q + 2*k, 2*q + 22 = -26*k + 31*k for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 475*g - 340*g = 675. Solve 8*x - 4*x = -2*z + 10, 4*x = -5*z - g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {x: 2, u: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1047 - -1854. List the prime factors of l.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -154350 rounded to the nearest one hundred?\nAnswer: -154400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 623a323 - -1?\nAnswer: 623a324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g + 1424 - 1364 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 1710*a - 76. Let w(n) = -114*n + 5. What is -5*h(i) - 76*w(i)?\nAnswer: 114*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - z - 3*t = -15, -6 = 4*z + 2*t. Let x = -2817 + 33829\/12. Let i = x - 7\/12. What is the second biggest value in 2\/3, i, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 921456 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-46 - -43)\/(0 + (-3)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 3*v + 9 = 0, 29 = 3*k + 2*v + 25 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**5*j\/(j**(-1\/4)*j)*j*j*(j**(2\/5)\/j)**(-15) assuming j is positive.\nAnswer: j**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*h - 13*h - 5. Let g be 6\/(-2)*1\/h. Solve g*b - 1 + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21 + 71. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of 0*k**3 - 1\/60*k**4 - 6*k**2 + 0*k - 1\/150*k**5 + 1\/525*k**7 + 0 + 1\/300*k**6. Suppose n(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-54)\/450)\/((-7)\/((-560)\/(-456)) + 9\/(-15))?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -213 divided by -39\nAnswer: 71\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4508138 and 460?\nAnswer: 45081380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12950 and 12110840?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 + 9*l**2 - 1. Let w be a(9). Let u = 2 - w. Suppose 3*h - u*b - 2751 = 0, -b - 3*b - 911 = -h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 124 divide 29016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 70  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 89 and 2.03928?\nAnswer: 181.49592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 1:00 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(-1)*3\/((-90)\/(-4)). Which is the closest to -2\/7?  (a) 2  (b) v  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 6*w. Suppose -5*c + 40 + 50 = w. Let d = c - -30. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + i + 110 = 0. Let r(o) be the first derivative of -o**3\/3 + 3*o**2\/2 + 3*o - 1. Let s be r(3). Solve 5*k = i + s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 194865480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -1506?\nAnswer: -2\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 10598*x - 3253594. Calculate v(307).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 4*g - 1. Let x(r) = 178*r. What is x(j(s))?\nAnswer: 712*s - 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 156066*t**3 - 88689*t + 2 wrt t.\nAnswer: 936396*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45 + -40. What is the common denominator of 59\/27 - (g - 5) and 55\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 3*a - 8 = 0, 6*x - 12 = 2*x + a. Let w(z) = z**2 + 2*z**2 + z**x + 8*z**2. Let r(q) = -2*q. Give r(w(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 26*q - 31368. Does 43 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*o + 6*o - 25*o = -112. Let z(g) be the second derivative of 0 - 1\/12*g**4 - 2*g - 2\/3*g**3 - 2*g**o. Calculate z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 28252, 28629, 29006, 29383, 29760?\n\"Answer: 377*x + 27875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - (-1 + (-4)\/24). Let l(i) be the second derivative of 0*i**2 - r*i**3 + 0 - 1\/12*i**4 - i. Factor l(k).\nAnswer: -k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 8. Which is smaller: -10 or t?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c253 + -a?\nAnswer: c247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 18\/(-4)*(-26)\/(-39). Is -48\/23 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {b: 2, i: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/173901 and 25\/24?\nAnswer: 1391208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2967 + -2967. Let t(c) be the third derivative of 0*c + 6*c**2 - c**3 + 1\/12*c**4 + w. Differentiate t(z) with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 7 = -p + 5*x, 0 = 5*p - 2*x - 12. Solve p*t = -8 + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 5*h - 8. Let v(n) = -n**3 - 4. Let w be v(-2). What is m in 3*m - 1 + w - h - 3*m**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 124*l - 227*l - 88 + 111*l. Determine o(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -14. Let s(t) = t - 1. Let d(r) = 18*r - 17. Let a(f) = n*d(f) - 102*s(f). Let i(l) = -2*l. Determine i(a(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5613, -5600, -5567, -5508, -5417, -5288?\nAnswer: -5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1100 - 23213021?\nAnswer: -23220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 6*q**2 + 12*q - 10. Give x(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 23 + 6 + -35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 3*v + 3 = -8, -2*c + 7 = 5*v. Suppose 2*k + 4 = 14. Put -5, c, -6, k in decreasing order.\nAnswer: k, c, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2. Let u(d) = 0*d**2 - 7*d + d**2 + 0*d**2 + 4. Let w be u(7). Let m(j) = j - w*j + 6*j. Determine f(m(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(2\/9)*u**10)\/(u**(-2\/11)\/u)**(2\/59))**38 assuming u is positive.\nAnswer: u**(2499754\/5841)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is q in q**5\/3 + 2987*q**4\/3 + 739016*q**3 - 20172068*q**2\/3 + 17952032*q\/3 = 0?\nAnswer: -1498, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 124*m**2 + 14 - 133*m**2 - 14*m - 2*m**3 - 5. Let n(y) = -y**3 - 4*y**2 - 7*y + 4. What is 9*n(k) - 4*v(k)?\nAnswer: -k**3 - 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 359\/9 smaller than 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272 is divided by 96.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -12.62195\nAnswer: -50.4878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - w - 22 = -21, 9*w = -d - 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.5, 2\/31, -0.2, 25, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(u*u**1*u)\/u)\/u*u*u**(-9))**(2\/3)*((u*u\/u**(-5)*u)\/u*u**(-8))**(3\/20) assuming u is positive.\nAnswer: u**(-83\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 32.4  (b) -0.4  (c) -5  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 4) + (24 - 28) + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 23, -1, -6, 655 in decreasing order.\nAnswer: 655, 23, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 37\/35)\/(4274\/21370)*(-14)\/5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/93  (b) 1\/4  (c) 5\/2  (d) 67  (e) -5  (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 + -21. Suppose -4*g + l*g + 3 = 0. Let n be ((-2)\/9)\/(1\/12). Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e and 1 l when four letters picked without replacement from {l: 10, e: 10}.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10506 = -725*p + 123*p - 31576 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 157972833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 4*b + 4)*(6*b - 1 + 19*b - 18*b) + (0*b - b + 2*b)*(4 - 2*b - 4).\nAnswer: -30*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -bae3d + 4?\nAnswer: -bae39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45132 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38 + -34. Let p be 0 - (0 - 2\/(-1)). Sort s, -3, p in increasing order.\nAnswer: -3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (x - x + x)*(-1728*x - 2379*x - 2 + 2) in the form n*x**2 + o*x + v and give n.\nAnswer: -4107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - 16*u**2 + 18*u + 51. Calculate z(-17).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 57805, 57820, 57861, 57940, 58069, 58260?\n\"Answer: 2*r**3 + r**2 - 2*r + 57804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 2:35 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 595368007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -6*o**3 + 269*o**2 + 43*o + 101. Let w(r) = -r**2 - 6*r - 3. What is the remainder when u(45) is divided by w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(19)*-3*-1 + sqrt(1216) + -2)*-1)**2 + -5.\nAnswer: -132*sqrt(19) + 6904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 3*f)*(2 - 2 + 1) + 3*f + 4 - 4 + f + f + 0*f + (1 - f - 1)*(0 + 2 - 4) + 3*f - 5*f - f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -239 + 345. Let i be (3\/9)\/((-6)\/(-36)). Factor 53*n**4 - 153*n**4 + 26*n**3 - q*n**3 - 16*n**i.\nAnswer: -4*n**2*(5*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-7015)\/(-69))\/(-61))\/((-5)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -398.3291*-0.09.\nAnswer: 35.849619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1052*l = -1050*l - 14876. What are the prime factors of l?\nAnswer: 2, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43316 is divided by 43304?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (354\/12)\/((-2)\/(-28)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -221544*v**3 - 4*v**2 + v + 124676116 wrt v?\nAnswer: -664632*v**2 - 8*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27390 + 28130.86. Let k = 730 - x. Round k to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6782646 divided by -4?\nAnswer: -3391323\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (26\/286)\/((-1)\/(-6))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 divided by 3681107.\nAnswer: -14\/3681107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = q - 34. Let g(h) = -h**3 + 2*h + 54. Let w be g(0). Let r = q + w. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 9*b = 0. Suppose b*h = 2*h. Solve -w = h, u - w = -6*w + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 6*x - 6. Let z be w(-7). Let a = -5 + 9. Let k = a + z. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -158 + 4?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.07 not equal to -871686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1362\/7 + 8207\/42. What is the closest to 1 in 0.1, 2\/13, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of -u**7\/14 + 4*u**6\/5 - 33*u**5\/10 + 6*u**4 - 9*u**3\/2 + 67*u. Suppose c(o) = 0. Calculate o.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 189336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 74 = -36. Let l(b) = -b + 15 - s + 2*b. Determine l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 8*p**2. Let n(k) be the first derivative of k**4\/6 - k - 6. Let s(u) be the first derivative of n(u). What is s(l(w))?\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 5 + -4 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-13)*(c*c**(1\/4)*c)\/c*c**(1\/3)\/(c\/c**(4\/9)*c))**(-21\/2) assuming c is positive.\nAnswer: c**(3269\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*r + 319 = -5*r. Suppose -450 = -r*j + 2355. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1105 and 10429653?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -6.52758\nAnswer: -26.11032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*w - 3*w**2 + 5*w + (0 - 2*w + 0)*(3*w - 6*w + 7 - 4) in the form p*w**2 + y*w + l and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 28a (base 14) in base 2?\nAnswer: 1000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 4:18 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - (1 - 28\/9). Let p(i) be the second derivative of -2\/27*i**3 + g*i**2 + 1\/54*i**4 + 2*i + 0. Solve p(f) = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0381 in -0.5, 25, 31\/6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 104023*a + 208161. Determine f(-2).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 685*k**5 + 0*k**4 - 1459*k**2 - 1522*k**5 - 912*k**5 + 0*k**4 + 2*k wrt k.\nAnswer: -104940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1764209 rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (67*t + 2*t**3 + 5 - 7 - 60*t - t**2)*(t + 2 - 2) in the form x + d*t**3 + h*t**4 + l*t + o*t**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, -68, 32, 4, 7 in ascending order.\nAnswer: -68, -4, 1, 4, 7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 6 = -0*d + n, -d - 2*n = 0. Put d, -0.4, 0.2, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 42 and 31137209393111.\nAnswer: 31137209393153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -2*k + 1031842, 0 = 4*b - 0*b + 24. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of -y**8\/6 - 11*y**6\/60 + 233*y**5\/60 + 6*y**2 + 38. Find the third derivative of p(a) wrt a.\nAnswer: -3360*a**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12918 - 3307 = -275*g for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, x: 2}. Give prob of sequence xx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 0. Let g = -8 + 8. Suppose h = -3*p - g*p + 2*f + 40, -3*f - 6 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 378562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*r**3*y - 274*r**3 + 9*r**2*y wrt y?\nAnswer: 5*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -635*f + 124. Let x be g(0). Solve -127*q = -x*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*p**2 - 1160 - 4*p**2 + 1160 - 11*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*y - 3. Suppose -g = 5*z + 14, 2*z = -4*g + y + 12. What is the remainder when 10 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*j + 60*j + 51*j - 44*j + 59*j.\nAnswer: 115*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, 1\/2, 49 in increasing order.\nAnswer: -0.04, 1\/2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 9\/5, -2\/63, 2, 14, 8\/17 in decreasing order.\nAnswer: 14, 2, 9\/5, 8\/17, 0.4, -2\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 21*f + 83. Give s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b*b*b\/(b*b**4)*b)*b\/(b\/b**(-9))*b**(-6\/11)*b**(1\/12) assuming b is positive.\nAnswer: b**(-985\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-4) - (-62855)\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + w - 44 = 0, -4*l + 16 + 16 = 4*w. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-7\/3)*(c**(-8)\/c)\/c)\/((c\/(c*(c\/c**(1\/5)*c)\/c))\/((((c**0\/c)\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-218\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + r + 2. Let t(z) = 13*z**3 - 4*z**2 + 15*z + 17. Determine -11*l(n) + t(n).\nAnswer: 2*n**3 - 4*n**2 + 4*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3381 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -1445 - 1159. Let l = j - 17968. Round l to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17312 + 17431.083. Let y = 2.41 + -121.41. Let l = y + v. What is l rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/2))**0*(d*d**13)\/d*d**(-12)\/d assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 52760 rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - f**2 + f + 3. Let u be r(0). Let c = u + 10. Let o(j) = 9*j. Let y(v) = -4*v + 1 - 1. Give c*y(t) + 6*o(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 311995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 313293318 divided by 22439.\nAnswer: 13962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56)\/(sqrt(8) + sqrt(24)\/sqrt(3)*4)*5 - 4*-3*(3*sqrt(14))\/sqrt(2))**2.\nAnswer: 9583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - l**2. Let c be b(2). Suppose 6*p - 6*p = 3*p. Suppose p = -c*g - g + 565. List the prime factors of g.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -201 (base 6) in base 14?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 5*t**2 + 3*t + 7. Let q be n(7). Let c = q - -85. Let k = -10 + c. Solve 5 = k*g, 6*g + 3 = -2*v + g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12\/23?  (a) 4  (b) 0.4  (c) -1\/2  (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + 21*j. Let n(k) = -3*k**2 + 24*k + 26*k + 25*k - 75*k. Calculate n(p(w)).\nAnswer: -3*w**4 + 126*w**3 - 1323*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, i: 3, z: 1, w: 1, d: 3, e: 1}. Give prob of picking 1 e and 1 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28728 and 28728?\nAnswer: 28728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2139140384 to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 94\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 10*c**2 + 228*c - 31. Let o be g(-23). Solve a = 4*z + o, -1 = 5*a + 4*z + 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13\/13666 or 0?\nAnswer: 13\/13666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) -1\/3  (c) 16  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7\/3 + -3 + 0. Suppose 2*y - 16 = -2*y. Let m = 4 + -1. Put b, m, y in ascending order.\nAnswer: b, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1213 - -301003001?\nAnswer: 301001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -10111100111010?\nAnswer: -10111100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -52613002 (base 7) in base 3?\nAnswer: -22101110020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*1)*-2 - 1*sqrt(204)*1)\/((2*sqrt(108) + sqrt(108))*-3).\nAnswer: sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 360 and 9.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 - 4*n**2 + n - 7. Let t be d(4). What are the prime factors of ((-46)\/t)\/((-18)\/(-81))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + -1 + (-2)\/11. Let z = -3.04 - -0.04. Let v = z + 8. Which is the biggest value?  (a) q  (b) 0.2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 31\/5 of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 7. Find the second derivative of 5*a + 0*a + 3*a**o - 4*a wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 18\/27*6*1. Suppose 0 = z*v - 131 + 51. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15*1\/3*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -15*f + 348. Let p(c) = 67*c - 1392. What is 18*i(n) + 4*p(n)?\nAnswer: -2*n + 696","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -2*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -29784861 - 0.053?\nAnswer: -29784861.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12 + -8. Let z be (2\/p)\/((-234)\/(-6405)). Let q = 31\/12 + z. Which is the third smallest value?  (a) 2  (b) -1  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8418 - 7383. Calculate the remainder when k is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3462 + 20621\/6. What is the common denominator of 67\/21 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w = -12*w + 6. Suppose 6*c = 2*c + w*r + 396, -5*c = -5*r - 505. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 253756 is divided by 2305.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 135480 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -753968, 0.2 in descending order.\nAnswer: 0.2, -14, -753968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 39*g**2 + 4. What is v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3553 and 5.\nAnswer: 17765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3901 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -46232362 - 5?\nAnswer: -46232367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yxiy when four letters picked without replacement from ibxyyb?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 93000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 376 + 1630 = 2*n, 627 = n + 2*y. What are the prime factors of n?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-12))\/(((-49)\/5)\/((-3)\/5)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44.6 - -157.5. Let f = v + -119. Round f to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - 0. Suppose -2*i + 6 = -y + i, -4*y + 3 = -n*i. Suppose 5*m = 4*l + 331, -2*m - 2*l = y*l - 106. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(1\/17*-1) + 0. Which is bigger: 53 or z?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + 0 + 249 + -10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - -356?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1fcd8 (base 16) in base 2?\nAnswer: 11111110011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 + (2 - 530)\/(-2). Let a = s - 134. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than 4264050.6899?\nAnswer: 4264050.8899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3 + 48*b**2 - 36*b - 88.\nAnswer: -4*(b - 11)*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -6 + 48 - 42 + 3*v. Let q(d) = -19*d**2. What is f(q(k))?\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = i - 4*h - 13, -4304239*i + 4*h + 8 = -4304243*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -4*b**2 + 3*b. Let u be g(3). Which is bigger: -29 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 310 - 124. Let z = x - 185.49. What is z rounded to 2 dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4 + 0 + 9 + 3 + -2. Solve 2*q + 0*q = n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - n + 11 + 8, -3*n = 3. Let k be ((-33770)\/(-3))\/(l - 8)*3. Suppose -15*b - k = -20*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18.42*173.\nAnswer: -3186.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(1300)*1)**2 - sqrt(1300)) + 1.\nAnswer: -3899 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-29908 - 18134 - 10080 - 2238)*(-u + 5*u - 2*u + 4*u - 2*u + 0*u + (-u - u + 4*u)*(-1 - 2 + 4)) to b*u + r and give b.\nAnswer: -362160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/(24\/9))\/(2\/181). Let h = 68 + l. Let i = 2.3 + 2.7. What is the second biggest value in h, i, 2\/17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -227\/44 - -54\/11. Which is smaller: 15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76570888 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 179565 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1)\/(b\/((b**(1\/4)*b)\/b)))**(-33)*(b**0\/b**(5\/2))**(-6) assuming b is positive.\nAnswer: b**(291\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 4.00001354. What is y rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1106, 2181, 3266, 4367, 5490, 6641, 7826?\nAnswer: 9051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -76 - -76.1. Sort n, -1, 9\/11 in ascending order.\nAnswer: -1, n, 9\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-74)\/(-70) - ((-322)\/196 + (-3)\/(-2)). What is the second biggest value in -0.2, 0.06, 3\/7, d, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 78*b**3*j**2*u**2 - 238*b**3*j*u + 2*b*j**2 - 139*j**2*u**2 wrt u?\nAnswer: 156*b**3*j**2 - 278*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((18\/7)\/(-18))\/((-26)\/14).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - 6*a + 1443. Let c be o(35). Let h(y) = 40*y + 1. Let q(j) = 121*j + 2. What is c*h(i) - 3*q(i)?\nAnswer: -43*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 472 (base 9) to base 16.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 133386254819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 6, l: 2, x: 1, d: 4, t: 2, m: 2}. Give prob of sequence tlx.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1845\/(-2214))\/((-5)\/(-1809))*12\/(-27)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 2*u + 5, -3*f + u - 7 = 7. Let o be (1\/(-10))\/(1\/(-4)). Let v = -12 + 16. Which is the closest to o?  (a) v  (b) f  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + b**2 - 8*b + 3. Let g be r(3). Which is greater: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/((-4)\/(-8)*-1). Let j be (0 - (-2)\/u)*-6. Suppose 0 = 3*l - j*d, -4*l - 5*d + 3*d = -18. Calculate the greatest common divisor of 9 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -206.999962 - -207. What is w rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*m - 82*m - 20*m**3.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.4861 rounded to 1 dp?\nAnswer: 84.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 22544 - 244?\nAnswer: 22300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*((2 - -2) + -3). Suppose 0 = 4*o + d - 10 - a, -4*d - 10 = -2*o. Solve -m = -2*w + o*w, 0 = -5*w - 3*m - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 390546 is divided by 214?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 928045834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**3 - 6*w**2 - w - 25. Let p be q(4). Suppose -4*c = 4*h - 45148, -p*h + 2*c - 346 = -34207. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5 - -3.7. Let t = h - 3. What is the third biggest value in -1\/3, 0.4, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 108, 403, 856, 1437, 2116, 2863, 3648, 4441?\n\"Answer: -5*x**3 + 109*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 5 = -3*r - 7, -m = 2*r + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 825*k - 825*k + 91*k**2 in the form w + j*k + z*k**2 and give z.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1292)\/(-1) - 2) + -1. Let w = -6474\/5 + v. Let c = -251\/45 - w. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6244 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 133 + -105. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10403122 (base 9) in base 10?\nAnswer: -5021453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 18723163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 25, -2*g + 1 = -k - 34. Let w be 10\/(-22)*(-10)\/k. Let t = 225 - 1797\/8. Which is the closest to -1?  (a) w  (b) t  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 11*o**3 + 4*o**2 + 9*o + 2. Let r be l(-3). Let z = 302 + r. Calculate the lowest common multiple of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 6 - 1 - 36624*k**2 + 36626*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1768 by 884.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -213 + 1637. Suppose -5*a = 4*y - 5711, y - a = -6*a + m. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 + 3*g - 4. Let f be y(-4). What is the closest to f in -3, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 211678549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 0, 17*c - 11 = 8*c + 10*c - k for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 358024519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j**3 - 5*j**3 + 4*j**3 - j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, w: 14, j: 5}. Give prob of picking 1 j and 3 w.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = -4*f + 65, 5*f - 1761 + 1681 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.08 + 13.08. Let x = y - 13. Which is the closest to -0.1?  (a) x  (b) 5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 2*q - 40, -l - 4*l + q + 45 = 0. Solve -6*n = 14 + l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 61152492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 26*i**2 - 6034*i + 27916. Let f(p) = 5*p**2 - 1197*p + 5583. Let d(j) = -16*f(j) + 3*k(j). Differentiate d(o) wrt o.\nAnswer: -4*o + 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -0*d - 6. Let f = 3 + -3.5. Which is the second smallest value?  (a) 3  (b) f  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1937?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**(-11)*s**0*s)**(-5\/6))**(-41))**47 assuming s is positive.\nAnswer: s**(125255\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*a**2 + 2*a - 972*a**3 - 823*a**3 - 1 + 15*a**2.\nAnswer: -1795*a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of t**4\/6 - 4*t**3\/3 + 4*t**2 - t - 26. Factor n(q).\nAnswer: 2*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 34  (b) 0.129  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 84\/15 - 6\/10. Suppose w*n = 16 - 1. Solve -3*l**3 + 2*l**n + 5*l**2 - 5*l**2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 7) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*x + 24*x + 11*x.\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-5)\/3 + 1)\/((-4)\/12). Suppose s = -s + z. Let l be 4\/((-4)\/(-8)*2*s). Solve 5*q = 15, 2*w = -3*q + l*q + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - -1)\/((-30)\/(-45) - 17755\/26628). What is l rounded to the nearest one hundred?\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/(-10)*130\/(-468)*-42?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 t when four letters picked without replacement from ttgtzttttz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 120 and 58360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1518?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7427685 is divided by 1571.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8 - 4 - 7*x + 5 wrt x?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2331544 divided by -4?\nAnswer: 582886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-18) + 240\/135. Let x be 45\/(-60)*c\/18*-3. What is w in -1\/4*w**2 - x*w + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**2 + 7*v**2 + v - 2*v**2 - 2*v**2 - 2*v**2 + 2*v**2 + (0*v**2 - 4*v**2 + v**2)*(1 + 1 + 0).\nAnswer: -4*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 = -4*b - 89. Solve -b = o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 4*n**4 + 249*n**3 - 734*n**2 - 1239*n - 260 = 0.\nAnswer: -65, -1, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1438805197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 163*z = 52*z - 159*z + 230040. Calculate the remainder when z is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -875, -906, -935, -962, -987, -1010?\n\"Answer: m**2 - 34*m - 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -7*y**3 - 5*y**2 + 5*y + 5. Let j(v) = 6 - 8*v**3 - 79*v**2 + 146*v**2 + 6*v - 73*v**2. Let n = 1 + -7. Calculate n*h(d) + 5*j(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*d = 150 + 10. Let l(p) be the first derivative of 2*p**2 - 4. Let g be l(1). Put -5, d, -3, g in descending order.\nAnswer: g, -3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 391 + 279 = 4*a, 3*x = -5*a - 113 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 146.9269\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5125.7 - -5126. Let f = 37 - 32. Which is the closest to -0.05?  (a) f  (b) x  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5544257347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 5*o = r - 12, -2*r - 2*o = -24. Suppose 6*j + r = -100. Sort j, -3, 0.\nAnswer: j, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 + 15*i - 6. Let v be 4\/20 + 182\/(-10). Is 4 a factor of j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*p**3*v + 407539*p**3 - 3*p**2*v + 735*p*v + v + 924 wrt p.\nAnswer: 12*p*v + 2445234*p - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y - 47. Calculate m(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (121 - 51) + -42 + (-18 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 199101787 to the power of 1\/3, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -5380?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 5*j**3 + 32*j**2 + 73*j + 736. Give f(-12).\nAnswer: -4172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 152366 + (12\/(-14))\/((-4)\/(-14)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10531 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of -i**4\/6 + 15*i - 2. Let w(d) = d**2 + 27. Give w(c(o)).\nAnswer: 4*o**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 4*j - 13 = 0, -3*c - 25*j - 6 = -22*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13996556.\nAnswer: 2, 7, 71411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 5476*h**5\/5 - 5343836*h**4 + 62083628*h**3\/5 - 44733908*h**2\/5 + 10066272*h\/5 - 702288\/5 = 0.\nAnswer: 6\/37, 1, 4877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -2593210.\nAnswer: 3\/1296605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x**2 - 16*x + 18. Give t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.6 greater than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2971195 is divided by 1568?\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 4*a = 60, -2*n = 2*n - a - 35. Which is greater: -113 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 406 is divided by 61.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9044880 by 5.\nAnswer: -1808976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -357 and 0.264909833.\nAnswer: -356.735090167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = 0, -3*w - 1 = -4*m - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10 + -11 - -36) + -7 - (-28 + 0)) + -9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b = -9 + 144. Which is smaller: 16 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(88) + 3*sqrt(88) - sqrt(88))*6 - sqrt(88))\/sqrt(8))**2.\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 7*p - 10. Let c(u) be the first derivative of 3*u**2\/2 - 5*u + 12. What is 5*c(a) - 2*x(a)?\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2\/15387 + -754007\/338514. Let g = -1\/2 + 2\/7. What is the common denominator of g and f?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/((-3)\/(-6) + 1). Suppose -4*j = 4*b + 16, -2*b - 2*b - 24 = -4*j. Let k be j\/((2\/6)\/1). Solve f + 8 = k*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11079 + -11073. Sort 4, r, -5, -1 in ascending order.\nAnswer: -5, -1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + ((sqrt(343) - (-3 + 3*sqrt(343))) + (sqrt(343) - (sqrt(343) + 2)) + -4)*6).\nAnswer: -420*sqrt(7) - 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 50 - 36. Let p = -3 + 11. What is the least common multiple of w and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 + 18. Calculate the remainder when 63 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4740 by 158.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 72267 (base 10) to base 12\nAnswer: 359a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 6*j**2 + 15*j + 61. Let g be q(-7). Suppose 0 = -g*n + 6*n - 3. Suppose -5*v = -2*v - 15. Solve 2*p = 4*h + 2, 0*p - n*h = -v*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8)*4 + sqrt(8) + sqrt(8))*-1)\/(sqrt(400)*-2) + -2.\nAnswer: -2 + 3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 477351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/510)\/((-3)\/27)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*v - 4*v - 60 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*n + 20*n - 15 = 4*d, -5 = 2*d + n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3210 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 6*x + 117. Suppose -v = -2*f - x + 531, -986 = -4*f + v. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 - -0.7. Let y = 0.6 - j. Let i = 6 + -2. Put -0.4, y, i in ascending order.\nAnswer: -0.4, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/9 and -55\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 - 25102 = -16*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -65*o**5 - 46140*o**4 - 80780*o**3 + 2948400*o**2 - 7814720*o + 1132800 = 0. What is o?\nAnswer: -708, -10, 2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 186 - 906\/5. Let -u*d - 12\/5 - 3*d**2 - 3\/5*d**3 = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4*j**2 + 18*j + 5. Let f(k) = 6*k**2 - 37*k - 9. Calculate -3*f(i) - 5*l(i).\nAnswer: 2*i**2 + 21*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 311 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in -2, -5\/4, -1\/3, 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - sqrt(76)*-2)*-4 - sqrt(76))\/(sqrt(484)*1).\nAnswer: -13*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1753851 or -1753853?\nAnswer: -1753851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/11, -4, 0.4, 0.05, 2.3, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the third derivative of -p**4\/6 - p**3\/6 - 5*p**2 - 2. Let s(x) = 5*x + 1. Give 6*n(k) + 5*s(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1506 + 25920. Suppose 2*p + 117866 = 5*o, -6*o = -2*o + 5*p - 94306. Suppose d + w = -o. Round d to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 47\/4  (b) 0.4  (c) 4  (d) -0.352  (e) -0.1  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 1 - (31 - (49 + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48.71 - -3.61. Let h = l + 48.1. Which is the third smallest value?  (a) -0.2  (b) 4  (c) h  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**2. Let z(a) = -3*a**2. Let v = 1 - 6. Let x(r) = r**2 + 4*r**2 - r**2. Let q(f) = v*x(f) - 7*z(f). What is q(u(b))?\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15093\/(-3024) - (-354)\/(-39648)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-6 + -2 + 6 - 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 359*z + 4. Let s(k) = -754*k - 9. Let n(b) = -4*s(b) - 9*v(b). Let d(q) = -q**2. Give n(d(a)).\nAnswer: 215*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-17)\/(-204)*(1799\/85 + -3). Let q be (-4)\/(-18) + 572\/(-306). Let n = s + q. Which is the third smallest value?  (a) 3  (b) -0.2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13971.\nAnswer: 3, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p**2\/5 - 271*p\/5 + 272\/5 = 0 for p.\nAnswer: -272, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5886 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.80563 to 2 decimal places.\nAnswer: -1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6 + 1)*24\/(-30). Suppose 10 = 3*b - h, 2*b - 18 = b + y*h. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -62.35 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 2*f - 35, t - 47 = -3*f + 2*t. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/23927 and 32\/119635.\nAnswer: 119635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*h**3 + 35*h**3 - 107*h**2 - 66*h**3.\nAnswer: -h**3 - 107*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*l**3 - 4*l**3 + 16*l**3.\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c = 11*c - 108. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(1573) - -6*sqrt(1573)) + -5.\nAnswer: -4 + 77*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/1*-3*(-18)\/243.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1233, 4223, 8983, 15507, 23789, 33823?\nAnswer: 45603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 - -19. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 9. Suppose 0*j - j = -3*k + 10, 18 = 2*k + d*j. Let x(s) = 0 - s**2 + 0 + 6*s. Give x(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12*(-1)\/(0 - -1). Let d = -25\/2 - r. What is the smallest value in 1\/2, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaan when four letters picked without replacement from ararnrrrnnnrararrrn?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -232, -229, -212, -175, -112, -17, 116, 293?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1000)\/16)\/5*8244\/(-1145).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 671 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6704865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4570855 and 88505.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 3 + 7. Let j = -17 + 17. Sort 5, h, j.\nAnswer: h, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14 and 4771046?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - h. Suppose 0 = -h*a - 2*a + 6. Factor 2\/3 + 2*s**2 - 2\/3*s**a - 2*s.\nAnswer: -2*(s - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4606 and 2450.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from rrrxxxx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31456 + 1571. What are the prime factors of u?\nAnswer: 3, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1981\/4965 + 1\/993. Let g(u) be the first derivative of 1 + 0*u - 3\/20*u**4 + l*u**3 - 3\/25*u**5 + 0*u**2. Let g(z) = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 120.9, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (-2 + -2 + 14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*m, -3*m + 39 = -x + 4*x. Suppose -t - 13 = 5*i, -2*i + x = -3*t - 7*i. Suppose t*z = 5*z - 36. What is the smallest common multiple of z and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25 and 210?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 413 + 6.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6547246 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*(f**(-3\/4)\/f)\/f*f))\/f*f*(f**(-3)*f)\/f)\/(f**(1\/3)*f*f*f**0)*(f**(-1)*f*f)**(4\/9)\/((f*f\/f**0)\/f*f**(-1\/6)*f) assuming f is positive.\nAnswer: f**(-179\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -12*y**2 - 276*y - 2. Let p(o) = 2*o**3 + 100*o**2 - 549*o + 32. Let t be p(-55). Determine c(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9893 - -9887. Put x, 167, -3, 3 in descending order.\nAnswer: 167, 3, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4588980 - -183?\nAnswer: 4589163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - m)*(4 - 1 - 2) + 4 - 3*m - 4 + 0*m + 0*m + 3*m + (2 - 6*m - 2)*(0 + 0 + 2).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8203 divided by 13.\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is e11 (base 15) in base 12?\nAnswer: 19ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*c**2 + 0*c**2 - c**2)*(-18 + 2*c**2 + 18) + (-43 + 43 + 5*c)*(5*c**3 + 0 + 0) in the form n*c**2 + r*c + s + b*c**3 + l*c**4 and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of 7*h**6\/60 - h**5 + 3*h**4 - 8*h**3\/3 - h**2. Factor y(m).\nAnswer: 2*(m - 2)**2*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/8)\/(((-63)\/(-4))\/(-7))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 AM and 12:53 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 247 = 7*v + 72. Let a(i) = -i - v + 25. Let u(f) = 7*f**2 + 3*f. Give a(u(c)).\nAnswer: -7*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j = 3*j - 171. Let w be j\/(-6)*4\/2 - 2. Find the second derivative of -184 + 184 + w*s - 11*s**4 wrt s.\nAnswer: -132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.010231 - 0.0199143?\nAnswer: -0.0096833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 377526999?\nAnswer: 3, 6569, 19157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1879824590 to the power of 1\/2, to the nearest integer?\nAnswer: 43357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 361680 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 50357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of n**4\/8 - 5*n**3\/6 - 22*n**2 - 3*n. Let a(x) = 2*x - 4. Give -4*a(v) + 3*u(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 > -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84)*1*6 + sqrt(84) + sqrt(84) + sqrt(84) - sqrt(84))\/(sqrt(48)*5) + 5)**2.\nAnswer: 8*sqrt(7) + 737\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-3)*j)\/(j\/(j**39*j)*j))**(-5\/12) assuming j is positive.\nAnswer: j**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + -6 - ((-18927)\/(-3))\/(-3). Suppose 0 = 37*l - 31*l - i. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -4*x**2 - 168*x + 83. Let u be k(-40). Let a = -382 + u. Solve -25*t = -a*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -3 - 0. Let w(u) = 4*u**2 + 3*u - 1. Calculate the smallest common multiple of (11 + (-195)\/12)*8\/(-3) and w(b).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2928, -23076, -77734, -184158, -359604, -621328, -986586, -1472634?\n\"Answer: -2876*v**3 + v**2 - 19*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 4)*(1 - 1 - 1)*(-2*t - 7*t + 11*t)*(-22 + t + 22).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 1.7. Let j = -0.2 - o. Sort j, -3\/8, 1 in increasing order.\nAnswer: j, -3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10608812 divided by -4.\nAnswer: -2652203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2821179056 rounded to the nearest one hundred thousand?\nAnswer: 2821200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.24, -535, 0.2, 5, 0.5, 0.1.\nAnswer: -535, -0.24, 0.1, 0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 11 + 45\/(-5) + 1307 - 7. Calculate the greatest common factor of 1554 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 28.1711 and 0.0848.\nAnswer: 2.38890928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 4:09 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 189743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, n: 2}. What is prob of picking 3 h and 1 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-19902)\/116095)\/(16\/10)\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 41 - 6 = 5*a, -8 = 5*y - 33 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/10786452 and 113\/14.\nAnswer: 75505164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -5*l + 2. Let c(v) = 4 + 9*v + v**2 - v - 1 - l. Let a be c(-8). Solve 2*r + 0*r + x - a = 0, -x = 3*r - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -50*v**2 + 30*v**2 + 6*v + 23*v**2 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 20*h**2 - h. Let o(m) = -8490439 - 7*m**2 + 8490439. Determine v(o(t)).\nAnswer: 980*t**4 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 573087 to the power of 1\/2, to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 2*h + 4*k = 46, -k + 105 = 3*h. Let z = -297 + 301. Which is the fourth biggest value?  (a) 1  (b) -4  (c) z  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 457 + -377. Let x = y - 79. Suppose w = 2, -t + 2*w - 18 = 9. Which is the closest to x?  (a) 5  (b) t  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -q**2*r*t - 102582*q**2*r - 1309*q**2*t - 4*q**2 - q + 5*t wrt r?\nAnswer: -q**2*t - 102582*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((200\/48)\/25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3599586*i - 3 + 3 + 3599586*i + 3*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + 11. Suppose 5*z - 4245*r + 4246*r - 141 = 0, 3*z - r - 99 = 0. What is the remainder when z is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 12676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -10  (b) -56  (c) -3\/5  (d) -72  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 63 = 3*c, 16*m - 17*m - 5*c = -33. Let j = -20 + m. Calculate the greatest common divisor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570967 divided by 24?\nAnswer: 570967\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2414 a factor of 87787798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 18*c**2 - 9*c + 13. Let r be p(2). Let u = r - 33. Suppose u*d - 36*d = -18. Calculate the highest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 6, c: 1, x: 3, j: 2}. Give prob of picking 2 j and 1 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1346)\/234 - ((-2736)\/(-234) - 12)) + 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 285 = -5*d - 0*d, -5*d = -2*h + 135. Let x = h - 36. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4716 + 12176. List the prime factors of p.\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5 - -19?\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2 + 50*y + 53. Let g be q(-24). Suppose g*v + 286500010 = -0*v + 2*k, 3*k + 171899985 = -3*v. Round v to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) -0.1  (b) 0.2  (c) -0.4  (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 23 - (1929 + -2047).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -3*p + 11, -8*p = -j - 4*p + 17. Let h(f) = 4 + 5*f**2 - 16523*f + 16525*f + 0 - f**3. What is h(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39816 and 6255378?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are -2.4 and 55.83 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l**2 + 2*l - 1. Let w be (-50)\/46 + 4\/46 - 4. Let n(s) = 2*s**2 + 3*s - 1. What is w*k(g) + 4*n(g)?\nAnswer: -2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*y**2 + 51*y**2 - 78*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2306.7 rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/27)\/((-8)\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -222*w - 11. Let k(m) = 40*m + 2. Let q(u) = -11*k(u) - 2*t(u). Let n(y) = -226*y**2. Determine n(q(v)).\nAnswer: -3616*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82717 - -0.36217676.\nAnswer: -82716.63782324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -215 + 219. Suppose 0 = 3*g - 301 + o. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 12 = -2*s, 4*p - 9*s + 4*s = -30. Which is the biggest value?  (a) 11  (b) 4\/5  (c) 62  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -2*y - 39*i + 36*i, 4*y - 46 = -2*i. Solve 4*u = -4*m - 12, y*m + 2*u + 16 = 15*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -669 - 16*o + 1350 + 13*o - 681.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 + 7*q - 12. Let r(w) = -w**3 + 5*w**2 + 4*w + 3. Let o be r(6). What is the remainder when 11 is divided by f(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -112540 - 5?\nAnswer: -112545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttt. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of 15*s**4\/4 + 385*s**3\/3 - 485*s**2 + 280*s - 1433. Find l, given that y(l) = 0.\nAnswer: -28, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 6. Let q = -2.1 + g. Let h = 0.058648 - 0.558648. What is the fourth smallest value in q, 4\/3, h, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 308\/2*15\/(-2). Calculate the remainder when 70 is divided by q\/(-49) - (-6)\/14.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 + -18. Let q = n + 4. Solve -4 + q = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 679054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + -5. Let x be (-1 + -4)\/(2 + -1). Sort x, -3, t.\nAnswer: x, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (t + 0*t - 2*t)*(4 + 25 - 4) as k + y*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -254, -1770, -5866, -13826, -26934, -46474, -73730, -109986?\n\"Answer: -214*h**3 - 6*h**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 10071, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 344 - 328 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, v: 1, n: 3, o: 2, x: 4, a: 3}. Give prob of picking 1 o and 1 n.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -4*b + 25, 3*o = -0*b + 2*b + 5. Solve -3*g - o = -8*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + 13*p**2 + 16*p - 21. Let m be k(14). Suppose 16*y - 27 = m*y. List the prime factors of (15\/y + -10)*(0 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-50)*-5 - (-38)\/10. Let b(z) = z**3 + 5*z**2 - 6*z - 1. What is the hundreds digit of b(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2724\/5 + 2195\/4. What is the common denominator of 39\/22 and h?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 4*m - m - 167, l = -m + 33. Solve l*k - 14 = -48 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -107892540 by 25185.\nAnswer: -4284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 197*b - 92 = 289*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -19\/4, 5, -4\/9, 2\/19, -0.1?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 90\/(-8)*((-902)\/55 - -16). Factor u*t**2 + 3*t + 3\/2*t**3 + 0.\nAnswer: 3*t*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 34534, 2\/3, 183?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1461225 is divided by 1170.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 728*s**2 - 757*s - 21829. Give r(-727).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {a: 1, e: 2, d: 7}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -19367c (base 13) in base 15?\nAnswer: -c86d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 - b - 7. Give k(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**2 + 347485400*d - 6037305160658000.\nAnswer: -5*(d - 34748540)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 2 - 2*d)*(-31 + 29 + 18).\nAnswer: -32*d + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 112*((180\/(-35))\/(-12) - -141)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3\/70 - -13\/105. Which is the fourth biggest value?  (a) -4\/5  (b) n  (c) 0.02  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -47, -96, -165?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 20*l**2 + 0 - 2 - 39*l**2 + 16*l**2. Let b(q) = -3 + 0 - 6*q**2 + 3*q**2. Let y(z) = -5*b(z) + 6*d(z). Factor y(h).\nAnswer: -3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 3*n. Is 6 a factor of 6 - (3 + -5 + (n - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -10001011000000001100011001?\nAnswer: 10001011000000001100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -2*k**2 - 23*k + 455. Determine b(-23).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6419, 12836, 19253, 25670?\n\"Answer: 6417*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1815 and 1095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 5 = 0, o = -g - g + 21. Suppose -4*r = g, -2*r - 69 = -3*t - 20. Calculate the lowest common multiple of 24 and t + 2 + -2 + 3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21210102.948 to the nearest one hundred.\nAnswer: 21210100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3355876698.\nAnswer: 2, 3, 199, 2810617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(204) + sqrt(204) + sqrt(204) + (sqrt(204) - (sqrt(204) + sqrt(204)*-1 + sqrt(204))) + sqrt(204)))\/sqrt(12).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14900 - 5586. List the prime factors of b.\nAnswer: 2, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-90))\/(3\/(-36))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 591*f - 157. Let h(q) = -295*q + 65. What is 5*h(z) + 2*n(z)?\nAnswer: -293*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8262 and 66967794.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i + 11*i = -11. Let u = i + 30. What is the remainder when u is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 6*a = 224. Suppose 5*k - 536 = -a. Suppose 0 = 3*j - 0*j - k. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of 11*c**6\/120 + c**5\/60 - c**4\/24 - c**3\/6 - 181*c**2. Determine d(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 10*n = -35. Let o = n - 31. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2. Let u(s) = -4*s - 13. What is z(u(d))?\nAnswer: -16*d**2 - 104*d - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -174802.975 rounded to the nearest one hundred?\nAnswer: -174800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -0.02, 3\/2, 1.22272, 0.4, 0.3, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 + 29. Suppose 4*b + 4*t - g = 0, -2*b + 6*b - 13 = 3*t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*b - 8460 = -25*b. Let j = b - -900. What is the remainder when j is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 757*u = 754*u - 95, -5*g + 5*u = 75 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t + 11. Let b be x(9). Suppose -b*p = 3*l - 7, 3*p = -5*l + 4 + 7. Suppose 0 = 4*j - 5*h - 8, -h = -p*h. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of 29*n**4\/8 - 19*n**3\/6 - 5*n**2 - 5. What are the prime factors of g(9)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 11033, 11021, 10985, 10913, 10793?\n\"Answer: -2*i**3 + 2*i + 11033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - s - 2*s = 6, 4*d - 20 = -s. Let u be 11272\/924*3\/6. Let t = 18\/77 + u. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1100, -1340, -1576, -1808, -2036, -2260, -2480?\nAnswer: -2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/3)\/o)**(1\/2)\/(o**(-5)*o*o\/o**(4\/5)*o))\/((o**1)**50*(o*(o\/(o\/o**1))\/o)**2) assuming o is positive.\nAnswer: o**(-748\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20703, -82810, -186321, -331236, -517555, -745278, -1014405?\nAnswer: -1324936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 549.88 in -1\/4, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 970*x - 337*x - 297*x - 336*x - 2169*x**2.\nAnswer: -2169*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9111 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: Factor 8*h**2 - 14616*h + 6675858.\nAnswer: 2*(2*h - 1827)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 765 and 28704585.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 = 5*u, 5*y - 4*u = 24 + 43 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.01 + -0.01. Let z = 308\/505 + -1\/101. Let j = -107\/4 - -27. What is the closest to 0 in j, s, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, b: 6, c: 4}. What is prob of sequence sccb?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7.2601 - -1.1411. Round f to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7.67 - 8.17. Let h = 13 + -18. Let g = h - -4.95. Is g less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 19260857 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)*2)\/sqrt(7) - sqrt(130)\/(sqrt(10)*-2) - (-5 + (sqrt(156)\/sqrt(3))**2 + 3).\nAnswer: -50 + 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, z: 2, x: 10}. Give prob of picking 1 x and 1 k.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -13764 - -13704\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.7 + -7.3. Let y = b + 11.8. Let p = 3 - y. Round p to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4362 is divided by 129?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10511 and 706192.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 419 = -10*y + 489. Solve -q + y = -5*g, 0*q + 4*g = 3*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 9 + p**3 - 1 + 3 to c*p**3 + l*p + o*p**2 + s and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d - 1. Let i(o) = -4*o + 6. What is -i(h) - 6*p(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 5, 0.3, 1\/4, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -21, -40, -59?\n\"Answer: -19*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 - 5. Let a be w(4). Suppose 2*x + n - a = 0, -2*n + 4*n + 10 = 0. Suppose x*g - 280 = -0*g. What is g rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 13) to base 15.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 146840000 rounded to the nearest one million?\nAnswer: 147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 176739.4584 rounded to the nearest 100?\nAnswer: 176700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s**3 - 56*s**3 + 26*s**3)*(6 + 2*s - 6)*(3 - 7*s - 3) + s**5 - 3*s**5 + 0*s**5.\nAnswer: 348*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 >= 2705.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3419 by -173.\nAnswer: -3419\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6904.8 rounded to the nearest 100?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 - 2*y - 7. Let l be p(4). Let k(v) be the third derivative of v**4\/8 - v**3\/3 - v**2. Let z(g) = 2 + g + 2 - 5. Give l*k(c) - 2*z(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 13*r - 13. Let l(f) be the second derivative of 0 - 25*f - 3\/2*f**3 + 9\/2*f**2. Determine -7*l(h) - 5*v(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -561.01 + 561. What is the biggest value in -0.2, -2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0992833721 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 1:48 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*n = 3*u - 7863, -u + 8*u = 3*n + 11*u + 235 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**4 - 12*k + 0*k**3 + 16 - 4*k**3 + 5*k**4 - 4*k**2. Let s(b) = -b + 1. Let d(p) = m(p) - 16*s(p). Find y such that d(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/q**(-1\/44))*q)\/(q**(-2\/3)\/q))\/(q*(q*q**(-3)*q*q)\/q)**31 assuming q is positive.\nAnswer: q**(349\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-55))\/(-1 - (-32)\/30). Is b less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 498*y + 11503 = -4931 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9755963\/5 or -2\/7?\nAnswer: -9755963\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (52\/(-8))\/(1800\/720).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - -5 - 93\/(-8).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 + 313?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -266.21 + 264. Let n = i - -2.2. Let s = -1.3 + 5.3. Which is the biggest value?  (a) n  (b) 5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oqqnoqqnnn. Give prob of sequence no.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/7 at most 101524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1526 - -1503. Which is the third smallest value?  (a) k  (b) 2  (c) 22  (d) 2\/15  (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 2, -219037 in increasing order.\nAnswer: -219037, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 - t**2 + t + 2. Let u be k(-2). Suppose 0 = -u*g + 3 + 13. Suppose -1 = -g*w + 19. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*s - 68 = 140 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -52 - -53. Let m be (-35)\/14*(-8)\/10*d. Solve m*t = -2 + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 - (-52 - -26 - (-1 - 19))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -5, -2, -1\/5, 2178?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4a (base 14) in base 11?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 29 + -10 + 2*1. Let c = t + -20. Solve -4*o = -3*r - 12, -c = 2*r - 4*o + 11 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 13 = 8*n - 5*n, 4*v - n - 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 3*t**2. Let a(y) = -2*y**2 + y. Determine a(h(g)).\nAnswer: -18*g**4 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5776*b - 5777*b + 68. Calculate the remainder when 907 is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30 - 12. Suppose j = -0*v + v. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(-5 - 0) + 3. Let z = -8 + f. Suppose z = -4*q + q. Solve 2*c - c + 1 = q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36 - (11 + -5) - 1) + -12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7\/17 - 139\/255. Which is the second smallest value?  (a) -6  (b) o  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 143498796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 43489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*b**3 + 14*b**4 + 22*b**3 - 10*b**3 - b as d*b + f*b**2 + r*b**4 + t*b**3 + w and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.881702 rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-9) - (-58)\/(-6). Let r be ((-7)\/2 + 3)*s. Suppose 3*g + r*w + 31 = -g, w = g + 1. What is the biggest value in -3, -2\/17, g?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -3 - 5. Let i(v) = 4*v. Determine i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n**2 + 4*n**2 - 5*n**2 + (-1 - 1 + 0)*(5*n**2 - 4*n**2 - 3*n**2) - 2 + 4*n**2 + 2)*(-3*n + 8*n - 2*n).\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 63837 - 2180?\nAnswer: 61647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 185057219 to the nearest integer?\nAnswer: 13604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*c + 10*c - 44*c)*(-3 + 5 - 3).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w**3 + 4*w - 4*w - 165*w**2 + 165*w**2 - w**3 + (-4*w - 2*w**2 + 4*w)*(-1 + 1 + 4*w) to k + c*w**2 + d*w + q*w**3 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 1640016 = -0*u. Let c = 520008 + u. Let g be -3 + 2 + 1 + c. Round g to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 - 21. Let q(m) = -9*m + 5. Let p(d) = -8*d + 6. Let w(t) = i*p(t) + 6*q(t). Let j(k) = -k. Give w(j(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 356 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, b: 6, m: 3, v: 2, w: 4}. What is prob of sequence momv?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 5*g - 8*j - 15, -3*j = 4*g - 12. Suppose 0 = 3*f + w - 47 - 259, -g*w + 9 = 0. Does 32 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 8318524.\nAnswer: 5\/8318524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v = 1366 - 619. Is v >= -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4426.862 weeks?\nAnswer: 44622768.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3960, 3959, 3958, 3957?\n\"Answer: -m + 3961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 6 = -r - 3, 4*r - 4 = -4*l. Let w = 1 - 2. Let k be 19 + -5 + -14 - (-8)\/(-2). Sort w, r, k in decreasing order.\nAnswer: r, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = -5*p - 3, -37*m + 34*m = -2*p - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 5*y + 5*y)*(-y - 3 + 3) + 1509*y**2 - 7*y + 4877*y**2 + 6*y + y.\nAnswer: 6384*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 9. Suppose -l = -2*q - 2*q. Solve -2*f + q = -4*y, 0*f = -5*y + 4*f - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 1545411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1582?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 3*s - 3 = 0, -c = c - s + 1. Suppose 110 = 5*x + 4*z + 4, c = x + 4*z - 34. Calculate the common denominator of -81\/2 and 4\/x + 862\/252.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*a = -9*a - 57656. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3*c + 397 - 198 - 6*c - 199. Let n(m) = 18*m - 5. Determine n(s(h)).\nAnswer: -54*h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/28 - 52\/(-14). Is w != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**3 - z**2 - 12*z - 79. Let t be q(-11). Suppose 15*x = 766 + t. Calculate the greatest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 18 + (5 - 1) + -6. Let b = -11 + w. Suppose 3 = -l + b*k - 2*k, -3*l + 41 = k. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of -30\/17*j**2 - j - 1\/51*j**3 + 6 + 1\/102*j**4. Factor r(x).\nAnswer: 2*(x - 6)*(x + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2868*g - 852 = 2797*g. Solve 10*u = -g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5807*m + 5*f + 23 = 5808*m, 0 = -4*m - 5*f - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/2 of a centimeter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15327 and 1842646.\nAnswer: 16583814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 5*i + 6 + 5, 0 = -5*m - 4*i + 15. Is 148\/1 + 7\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 722712 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-468 + 111*u**3 + 468)*(-2*u + u + 0*u) to the form q*u + k*u**3 + a*u**2 + v*u**4 + m and give v.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3475b36 (base 12) to base 15\nAnswer: d4a283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -314.\nAnswer: -1570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 51472562 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*u - 86 = 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2986*w + 3283*w + 5563*w.\nAnswer: 5860*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -219828273 divided by -69?\nAnswer: 3185917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 12:03 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 128 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/(-11))\/6 - (1311418\/221936 - 6). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 151560\/(-75)*60\/(-8). Suppose -9*s + f = 4149. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -5*j - 86. Let b be r(-15). Let l = 146 - b. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -0.2821?\nAnswer: -1.4105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 651638474, 1303276947, 1954915420, 2606553893?\nAnswer: 3258192366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, t: 3, r: 1, x: 3, s: 2, g: 1}. What is prob of sequence kg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 155808*y**4 + 2*y - 88580.\nAnswer: 1869696*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 5*f + 4. Let a be 18\/27*(-1)\/(2\/(-27)). Suppose -15*y + 30 = -a*y. Let g be d(y). Solve c + g = -0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 152439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 611731379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 0*i + 3 = 0. Suppose i*v - 2*v = 3. Solve q = v*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 433950 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -37*u + 3. Let a(i) = -25*i + 2. Determine -7*a(f) + 5*l(f).\nAnswer: -10*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1341 and 1192.\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000007599 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9362 is divided by 64?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 9 = -23. Let l = n + 34. Suppose l*i - 154 = -r + 2*r, -4*i - 4*r + 308 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.26604 litres in millilitres?\nAnswer: 18266.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 8 - ((-2 - 28) + 10).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 648357, 648422, 648529, 648678, 648869, 649102?\nAnswer: 649377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -o - 2. Suppose -2*g = -4*c + 8, g + 2*c - o = 2. Solve g*t = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6 + 3 + (-325)\/(-39))*159\/4. What is the greatest common factor of b and 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23 + -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/3*(-21)\/(-2). Let j(f) = -f**2 + 3*f + 5. Let d be j(-2). What is the tens digit of -2*(-258)\/(-8)*(a - d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 9238*s - 119352. Give h(13).\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of -5*i**2\/2 + 42. Let b(y) = -2*y**2. Calculate v(b(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/19  (b) 693\/4  (c) 246\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -a**3\/4 - 35*a**2\/2 + 33*a\/4 + 24219\/2 = 0.\nAnswer: -54, -39, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 152 and 0.5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 898 + 74*b**3 + 2*b**2 - 18*b**3 - 904 - 4*b**4 to the form x + f*b**2 + h*b + n*b**4 + o*b**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 283073590 rounded to the nearest one million?\nAnswer: 283000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 1. Let k = 9 + -11. Let i = k - 1. Which is the third biggest value?  (a) x  (b) i  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*r**2 + 25 + 156 - 23*r**2 in the form o*r + a + m*r**2 and give a.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -502 - -11045\/22. Let r(c) be the second derivative of 0 - 2*c - 1\/110*c**5 + k*c**4 + 1\/33*c**3 - 3\/11*c**2. Determine t so that r(t) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.4 + 4.2. Let i = 417.87 + -418. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of 0 + 16*t**2 - 2\/105*t**7 + 0*t**3 + 0*t**5 + 1\/2*t**4 + 0*t + 0*t**6. What is the second derivative of b(x) wrt x?\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3182 - -3187. Solve 2*z = y*c - 17, -5*z - 17 = -2*c - 2*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 AM and 11:38 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 9, -4, -3, -5, -544, -11 in increasing order.\nAnswer: -544, -11, -5, -4, -3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x + 1. Let f be 2\/7 - (-48)\/(-21). Let k be s(f). Let n(q) = -q**3 - q**2 + q. Calculate n(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**4\/11 - 4800*m**3\/11 - 3854292*m**2\/11 - 1046824432*m\/11 - 9112708314\/11 = 0. What is m?\nAnswer: -797, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -174*m = -277*m + 103 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*o = -4*z - 22*o + 7932, 10 = 2*o. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -221302544 (base 6) to base 2.\nAnswer: -1111001110000011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + (24 - 13 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 3, -60, 5, 1\/8, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - (-3 + -19)) + -4 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**4 + r**4 + 0*r**4)*(-355*r + 353*r - 2748 - 2408 - 3205).\nAnswer: -6*r**5 - 25083*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 28 divided by 16425\nAnswer: 28\/16425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (4 + -4 + 1 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 7*r**3 + 13*r**2 + 17*r + 1. Let b(q) = 4*q**3 + 6*q**2 + 9*q. Let c(v) = -5*b(v) + 3*h(v). Is 19 a factor of c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 10*d**2 - 4*d - 6. What is o(10)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9297.768t to milligrams.\nAnswer: 9297768000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of f**2\/2 + 7*f - 3. Let d be j(-12). Is d not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 83.2321 + -1.7621. Round k to 0 dps.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f + 15. Let d = -29 - -30. Let b(u) = -1. Let z(h) = d*r(h) + 5*b(h). Let q be z(8). Solve 2 = k - q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 997772000 rounded to the nearest 1000000?\nAnswer: 998000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 80 + -36. Let w = -40 + y. Suppose 0 = -0*p + 4*p - 2*z - 568, -3*p - w*z + 437 = 0. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 4*r + 10 = 0, 3*c - 90*r = -87*r - 21 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -8*o + 243. Give q(24).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/(-4))\/((-8)\/(-32)). Let s be (-370)\/50 + x\/(-5). List the prime factors of (10 - 3)\/((-2)\/s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 2 - (-1 + -39 + 18 + 52)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 7:27 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of -r**7\/3 - r**6\/120 - 49*r**5\/3 - 865*r**2. Find the third derivative of v(j) wrt j.\nAnswer: -1680*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4455478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.334885 millilitres in litres?\nAnswer: 0.009334885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 12137 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3\/7 + 36552*p**2\/7 + 109524735*p\/7 - 1583899002.\nAnswer: 3*(p - 98)*(p + 6141)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/((-8)\/(-10)))\/((-501)\/(-3006)). Solve 0 - 4*s + r*s**3 + 3\/2*s**5 - 8*s**4 + 3*s**2 = 0 for s.\nAnswer: -2\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b**5\/5 + 6*b**4 + 21831*b**3\/5 - 858846*b**2\/5 + 5132244*b\/5 + 85374744\/5 = 0.\nAnswer: -97, -7, 26, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209)*-4*4)\/(sqrt(396)*1 + sqrt(396))*5)**2.\nAnswer: 7600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 - 8*v + 5. Let b be u(-7). Solve 7*a + b = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8.53 - 3.53. Let f be 34\/(-15)*1 - -2. What is the third smallest value in 3, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-25\/3))**(13\/3))**(-10) assuming f is positive.\nAnswer: f**(3250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*k + 21682 = 102*k. What is the remainder when k is divided by 92?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*s - 6*s + 12*s + 2 to the form v*s + o and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 691\/4 - 172. Which is the third smallest value?  (a) 2  (b) k  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*s - 5*s + 2*s**3 + s**3 - 8*s**3 - 8*s**3 - s + 2*s**3 + s + 2*s - 2*s - 2*s**3 + (-2*s**2 + 0*s**2 + 3*s**2)*(2*s + 2*s - 3*s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 s when three letters picked without replacement from {o: 1, i: 3, s: 3, x: 3, t: 5}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of s**3\/3 + 3*s**2\/2 - s + 1. Let r(o) = 2*o**2 + 5*o - 1. What is -3*r(i) + 5*x(i)?\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*l**4 - 39*l**4 + 13*l**4 - 23*l**2 + 15*l**4 - 33*l**3 wrt l?\nAnswer: 24*l - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.66 - 23.34. Is f < 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 14127, -2.9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/1 - (-87363)\/68. Let m = -1302 + a. Calculate the common denominator of m and -18\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 8792*l*v**2 - 2*l*v*w**2 - l*w**2 - 64*l*w - 847*l + 7*v*w**2 + 1 wrt v?\nAnswer: 17584*l*v - 2*l*w**2 + 7*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2035 (base 6) in base 9?\nAnswer: -555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 13891, 27785, 41679?\n\"Answer: 13894*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 185547740 a multiple of 1832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 3 = o. Let k = 78643\/28 - 11249\/4. Is k > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 140 divided by -7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 0 + v**2 + 3 - 4*v**2 + 7*v. Let r(p) be the first derivative of -p**3\/3 + p**2 + p + 1. Let q(z) = 2*i(z) - 7*r(z). Let q(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - 1. Let v be t\/(-3) - (-2)\/3. Determine m, given that 3*m**2 + 2*m**3 - m**5 + m**4 - 3*m**3 + v*m**3 - 4*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 - 6*y + 4. Let k = -12 - -20. Let n be -6*(4 - 36\/k). Give t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (((sqrt(6) + 1*(-1*sqrt(6) - sqrt(6)))*1)\/(sqrt(192) - (sqrt(192) - 1*sqrt(192))*5))**2.\nAnswer: 33\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7)\/(14\/88) + 3. Let d(s) = s**2 + 2*s - 3. Let o be d(-9). Let n = o + r. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2857853?\nAnswer: 17, 168109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 1453 + 420 = -4*f, -5*f + 2*u = -1283. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + 10*k**2 - 10*k + 13. Let i be y(9). Let q = i - 10. Which is greater: -7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -15489, -15509, -15541, -15585, -15641, -15709, -15789?\n\"Answer: -6*c**2 - 2*c - 15481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 3 + 3)*(-z**4 + 0*z**4 + 3*z**4) + 2*z**2 - 2*z**2 + z**5 - 1095*z**5 + 190*z**5 + 471*z**5.\nAnswer: -429*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14524376 + 6?\nAnswer: -14524370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3 + 826*g**2 - 825*g.\nAnswer: -g*(g - 825)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22 - -30. Factor -2*k**3 - r*k**4 + 2*k**2 - 3*k**2 + 7*k**4.\nAnswer: -k**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 + -3. Solve 56*w**2 + 68*w - p + 11 + 12*w**3 + 35 = 0.\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 16*n = 15*n + 7030, -r = -5*n - 1747. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-1) + -2 + 3. Let m = x + 0. Suppose -2*h - m*f + 6 = 0, 5*h + 3*f = -f + 16. Solve -3*y + 5 = -h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -61*p**3 + 0*p + 0*p + 1074*p**2 - 74*p**3 - 1266*p**2 wrt p.\nAnswer: -810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2149414 minus -0.043?\nAnswer: -2149413.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 163045 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 6*l + 2*l)*(l + 3*l - 3*l) + (1 + 1 + 2)*(-118*l**2 - 276*l**2 + 176*l**2).\nAnswer: -874*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 95*a**4*p + 1089*a**3*p**3 - 6*p**3 + 3*p**2 + 12 wrt a.\nAnswer: 380*a**3*p + 3267*a**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -816, 2.3, 14, 0.1, -13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100*f**2 - 2*f - 570*f**2 + 19628 - 19629.\nAnswer: -470*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(-10)\/8*5360\/(-110550).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1083560 divided by -5\nAnswer: -216712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -5*q**5 + 183140*q**4 - 732480*q**3 = 0.\nAnswer: 0, 4, 36624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8012 - -4049. Let l = 3963.2289 + k. What is l rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 596410 is divided by 198799.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11254 + 11258. Let o = -5 - -4.6. Put r, 17, o in ascending order.\nAnswer: o, r, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 6*q**2. Let x(z) = 11757*z**2. Determine w(x(g)).\nAnswer: 829362294*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -124, 746, -28, -5, -2.\nAnswer: -124, -28, -5, -2, 1, 746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 9*n**2 + 49*n - 315. Give o(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5\/97 - -129\/1261. Suppose 18 = -5*z + 121*h - 125*h, 0 = -5*z - 2*h - 14. What is the second biggest value in 0, z, c, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*y - 6*y + 14*y**2 + y**2 + y**2 - y**2 + (-2*y**2 + 0*y + 0*y)*(-3 + 0 + 1).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -7 - 17\/(663\/111).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1228*d**2 + 837*d - 2 wrt d.\nAnswer: -2456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 8 = 8*c - 12*c, -c + 14 = 3*h. Suppose 38 = h*i - 4*t, 20*t - 15*t = -10. Calculate the greatest common divisor of 25 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*z**2 + 33*z**2 + 34*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -493469*d**3 + 2*d**2 - 493513*d**3 + d**2 + 986970*d**3 - 3*d**2.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -176 + 175.767. Let m = x + 0.332. Round m to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5928665 (base 10) to base 15\nAnswer: -7c1995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53866*z = 53904*z + 1026 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 1328, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18428562 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of z**8\/10080 + z**7\/3780 - z**6\/1080 - z**5\/180 + z**4\/12 + z**2. Let s(n) be the second derivative of d(n). Factor s(m).\nAnswer: 2*(m - 1)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.8847 or 2\/13891?\nAnswer: 0.8847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -71631773 (base 8) in base 9?\nAnswer: -31453722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (91\/455)\/((-9)\/30)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**2 + 2*m**2 + 0*m**2 - 4*m + 4*m + 2*m**2 + ((6 - 4 - 5)*(67*m + 17*m + 9*m) - m + 3*m - 3*m)*(3*m - 3*m - 2*m).\nAnswer: 563*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.03  (b) 0.2  (c) 0.042511327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90478*k**2 - 30430*k**2 - 29685*k**2 - 30361*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -18807 times 13005?\nAnswer: -244585035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + (5*-3*sqrt(91))\/(-4*sqrt(700)).\nAnswer: -5 + 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 45\/18 - 10\/(-100)*-10*1\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/5 + 15510\/1175?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 AM and 5:44 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - -2) + (-21)\/(-3). Suppose 4*u - 2*b - 8 = 0, -5*u + 0*b = -b - z. Which is greater: u or 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, m: 7}. What is prob of picking 1 l and 2 m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/3448104 and 111\/1553200.\nAnswer: 172405200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -39 in decreasing order.\nAnswer: 4, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of -985*f**5\/6 + 6256*f**2. Let m(p) = -p. Determine s(m(d)).\nAnswer: -9850*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + h)*(-84*h**2 + 271*h**2 + 59*h**2)*(-1 - 4*h + 1).\nAnswer: -984*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -68403*a**2\/2 + 8922741*a - 1163915427\/2 = 0. Calculate a.\nAnswer: 19697\/151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 432439606 a multiple of 2896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**3 + 5*j**2 + 2*j - 1. Let v be h(-3). Suppose -v + 11 = 2*s. Factor -2\/3*x + s + 2\/3*x**2.\nAnswer: 2*x*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -14422 (base 6) to base 8\nAnswer: -4416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7587987827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 836033 is divided by 20898.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22864*l = 4*d - 22867*l - 50, -8*l = -3*d + 164 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -213 - -214. Let p be ((-3)\/(-5))\/q*(147 - 112). Which is smaller: p or 22?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11136, 22280, 33424?\nAnswer: 44568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 118\/(-29) + (-9 - -13). What is the biggest value in 3, w, -5, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -43 * -4.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do 245\/1063 and -5\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1166 and 29282.\nAnswer: 1551946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-171))\/((-76)\/(-361)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19835513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g - 504*g - 12420 = 126*g + 191*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1539 a factor of 345383360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 115*b**4*j*o + 30*b**3*j**3*o + 5*b*j**3*o + 41*o wrt b?\nAnswer: 1380*b**2*j*o + 180*b*j**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -5*b - 4*a, -3*b - 4*a + 8 = -5. Let r be 3 - (-2 + b - -56). What are the prime factors of r*(-1 - 8\/(-12))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s + 4*s**2 + s**2 - 4*s)*(303*s**3 - 403*s**3 + 865*s**3).\nAnswer: 3825*s**5 - 765*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 5*n + 10 = -2*c, -3*n - 78 = 3*c. Let w be 10\/4*(-156)\/c. What is the highest common factor of 52 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + (-4 - 4) + 9 - 1) + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**4 + d**3 - d**2 + d - 1. Let o(i) = -2*i**4 - 3*i**3 + 3*i**2 - 3*i + 33. Let b(z) = -3*n(z) - o(z). Find the first derivative of b(m) wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2704)\/(-24))\/(-13) + 8 + 1. Let a = 18 - 13. Let z = -1 + a. What is the second smallest value in z, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + 7*z - 207. Give c(10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13ba + -3059?\nAnswer: -4457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.1 and 1195.669.\nAnswer: 1195.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 100111100010 (base 2) to base 9\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - c. Let n(j) = 5*j**3 + 5*j**2 - 5*j. Let o = -45 - -44. Calculate o*n(f) + 5*m(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36051*q - 36059*q - 36061*q + 108172*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of 3*c**5\/10 - 8*c**3\/3 + 19*c. What is the second derivative of a(y) wrt y?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10753197 is divided by 435.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -603\/4 in 1\/5, -8, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*m = 10*m - 4579 - 1955. Calculate the greatest common factor of m and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5158654?\nAnswer: 2, 97, 26591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 7. Let g(f) = -2 + 0 - 1 + 4 + f + 27*f**2. Is g(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 380 and 17481140.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.550439503 rounded to three decimal places?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 664492 less than 664491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -3*s + 4. What is the remainder when 9 is divided by -1 + -1 + (10 - s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/10)\/(4 - 17634\/4410). Let c = -297 - z. What is the smallest value in -4, c, 0, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 2*j + 1. Let k(u) = 2*u - 3. Let o be k(4). Let y(l) = l**3 - 1 + 6 + o*l**2 - 1 + 2. Give y(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*b - 7*b**3 + 10*b**3 - 31 + 35 - 34 - 138 to k*b**3 + l*b**2 + t*b + g and give g.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 11*o**2 - 12. Let w(i) = 2*i. Give w(x(f)).\nAnswer: 22*f**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14\/19 - -1719\/38. Let g be (-3)\/3 + 1785\/(-108) + 0. Let m = g - 20\/9. Find the common denominator of z and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 364395.82 to the nearest one thousand.\nAnswer: 364000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 110100 (base 2) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 744 divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1089*h**2 + 5*h**4 + 7*h**3 - 1092*h**2 - 8*h**3 to i*h**4 + z*h + k*h**2 + j + s*h**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/((-1)\/6) - (5 + -6)) + 2. Let c(l) = l**3 + 2*l**2 - 2*l - 6. Give c(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1083*z**2 + 1 - 10 - 4882*z**2 + 1901*z**2 + 1895*z**2.\nAnswer: -3*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126, 270, 414, 558, 702, 846?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 PM and 1:10 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*l - 4*l - 3 + 1 + (2*l - 4*l + 12*l)*(1 + 0 - 5).\nAnswer: -39*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -3604757\nAnswer: 1802378.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15917113.\nAnswer: 163, 97651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 568911.\nAnswer: 3, 7, 27091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5\/50)\/(2\/5). Is 1 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5960765?\nAnswer: 5, 1192153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6471 - 6471 - 7*t)*(-2*t**3 + 2 - 2) to o*t**2 + u*t**4 + a + h*t + g*t**3 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22462 = -7*z + 34616. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/2)\/(1\/(-6)). Let x be (0 - 1)\/(6\/m). Let l(k) = -4*k**2 + 2*k + 1. What is l(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(((-15)\/10)\/((-15)\/55))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of -f**6\/30 + f**5\/10 + f**3 - 438*f**2. Let m(p) = p**3 - p**2 + 1. What is 6*m(a) + w(a)?\nAnswer: 2*a**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -61.82 + 61.52. What is the closest to 0.1 in f, -2, -16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 10*s - 39. Let m(v) = 5*v - 20. Let u(g) = -5*m(g) + 3*x(g). Let o be u(4). Let 28*t**2 - 13 + 15*t + 6*t - 30*t**o - 7*t + 1 = 0. What is t?\nAnswer: -2\/3, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101011110100 - 0?\nAnswer: -1101011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -9833606?\nAnswer: 2950081.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p. Let c(f) = -6*f + 2. Give c(d(m)).\nAnswer: -12*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2610412162 to the nearest integer?\nAnswer: 51092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9.02 + 9.12. Let x be (12\/10 - 2) + 1. Let j = 0.2 - -0.8. Which is the closest to j?  (a) x  (b) -0.5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6525 - -6524.994776. Round z to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -12, -4, 2, -4448 in increasing order.\nAnswer: -4448, -12, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of (-3*61)\/(21\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 121*v + 3608. Let j be z(-29). Which is greater: j or 15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -15*y - 40. Let o be z(-3). Find the second derivative of -2*p**4 - 1022*p**5 + 181*p + 0*p**2 + 958*p**o + 0*p**2 wrt p.\nAnswer: -1280*p**3 - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - z = 0. Let y be (3\/2 - z)*2. Let o(u) = u + 5. Let j be o(0). Sort y, -1, j in increasing order.\nAnswer: -1, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 66020 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 1755 (base 9) in base 6?\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -202 + 673. Let q = l - 399. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124*o - 366 = -5*t - 2*o, 0 = -2*o - 4 - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 12 = -2*n, 4*n + 2*g = 7*g - 9. Suppose -y = y - 22. Solve -v = 4*v - 3*r - y, 3*v = -n*r - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 5*h - 2*h)*(294 + 43 + 378 + 387 + 296).\nAnswer: 1398*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9458 + -14770. Let c be d\/(-68) + -3 - 2\/17. Let a = c + -72. What is the least common multiple of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 - 2*n**2 - 7*n - 9. Let x be f(-2). Let p(l) = -25199*l**2 - 4*l - 5. Let s be p(x). Round s to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16355405 divided by -11\nAnswer: 1486855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*l + 196 + 49 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of 5*j**4\/24 - j**3\/6 - 6*j**2. Give q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.91 + -0.31. What is the closest to 0 in 4, c, -5\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -229 or -228?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t + 14. Let r be k(9). Let o(n) = 1 + 6*n**2 + n**3 - n - 7*n**2 - r*n**3. Let b be o(-1). Solve 10*q - b*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, r: 1, q: 5, b: 6, f: 1}. Give prob of sequence jf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 409369, 409347, 409325, 409303, 409281, 409259?\nAnswer: 409237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 136 = -3*g. Suppose 0 = -f - 2*f + 12. Let a = 14 + f. What is the remainder when g is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -2*v**3\/13 + 28788*v**2\/13 + 29410608*v\/13 + 58706048\/13 = 0.\nAnswer: -956, -2, 15352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30672645 to the nearest integer?\nAnswer: 5538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 21 or 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nphnpnpfffhtfffh. Give prob of sequence fh.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1038 is divided by 282.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 - (-10 + 19 - -20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/14371 in -1, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33, 40, 51, 66, 85, 108, 135?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35)\/((-175)\/30)*(-2)\/(-32)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1075.1 - -1075. What is the third smallest value in 22, 2\/13, -0.5, h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*j**2 - 14*j**2 - 51*j**2.\nAnswer: -75*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -762 > -761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c + 4*h + 18688 - 18684, 5*c + 31 = 3*h for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -47*c**2*w - 120*c**2 + c*w + 8 wrt w?\nAnswer: -47*c**2 + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2063 in -38, 0.4, 2\/7, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.03807 - -0.29697. What is q rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -6. Let y = -8 - -5. Put k, y, -3\/4 in increasing order.\nAnswer: y, -3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 7*h**2 - 8*h + 3. Let p be 6\/8 - 203\/(-28). Determine d(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**3 - 21*n**2 - n - 3. Let b = -5 + 25. What is the smallest common multiple of b and v(-21)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/295528 and -97\/1034348.\nAnswer: 2068696","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 4508 - 5808. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -132 - q + 46*q + 132 to w + h*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 2 - d - 6.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-5) + (-133)\/(-35). Suppose -r + t + 4 - 1 = 0, 0 = -2*r - h*t. Suppose -15 = -r*d + d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = 5*l + 4*k - 29, -5*l - 3*k + 28 = 0. Suppose -6*p = 4*y - l*p - 11, 2*y - 5*p = 33. Sort y, -5, -4, 14.\nAnswer: -5, -4, y, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.071 - -37.929. Let j = -37.74 + k. Let t = 0.64 + j. Which is the biggest value?  (a) t  (b) -0.5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 - c - 12. What is s(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-114)\/19 - (12\/(-20))\/((-10)\/(-105))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) - sqrt(54)\/sqrt(3))\/sqrt(6) + sqrt(3) + (-2*-2*sqrt(3))**2.\nAnswer: sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (4*sqrt(9)*5)\/(sqrt(108)*-4).\nAnswer: -5*sqrt(3)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 612\/14 + (-32)\/(-112). Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 - d - 1. Let v be (1\/3)\/(1\/12). Let m be 12\/(-18) + v\/(-3). Let c be b(m). Sort c, -4, 1 in decreasing order.\nAnswer: 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(68)*-2)\/(sqrt(20)\/(sqrt(20)\/sqrt(4))).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -386?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 53. Let m(b) = -17*b. Calculate the remainder when d is divided by m(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.054, 1\/6, 0.296, 106 in decreasing order.\nAnswer: 106, 0.296, 1\/6, 0.054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 45 - 359\/8. Which is the biggest value?  (a) 0.1  (b) d  (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22563?\nAnswer: 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.115  (b) -0.3  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (3 + -2 - 0) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1104, 1031, 968, 909, 848?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + 1)*3\/2. Suppose -3*v = o*m + 15, -5*m - 32 = 4*v - 8. Let z = -1.929 + -0.071. Put 0.5, v, z in ascending order.\nAnswer: z, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 11:48 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 + 6*b**2 + 4*b - 11. Let n be u(-5). Let m(y) = y**2 + 3*y - 8. Does 10 divide m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 5*h - 143 = -434, -4*m - 2*h + 362 = 0. Suppose -29 = -x - 4*j + 11, m = 2*x + 4*j. Let k = 91 - x. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*20149.0755\nAnswer: -10074.53775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -4292, -4289, -4288, -4289?\n\"Answer: -n**2 + 6*n - 4297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2 - 7872*m + 218064.\nAnswer: 3*(m - 2596)*(m - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 400.328 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 15 = -3*g. List the prime factors of 1\/g + 99\/55.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - 8. Suppose -7 = -4*n + q. Suppose 3 = -2*v + 3*v - 2*c, -n*v + 25 = 2*c. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 196, -6437, -17486, -32945, -52808, -77069, -105722?\n\"Answer: x**3 - 2214*x**2 + 2*x + 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1316743627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61 is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7132612 litres in millilitres?\nAnswer: 713.2612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + 1bd593?\nAnswer: 1bd596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -3975\/2974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-33) + (-426)\/12*10\/55\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15072 and 5966?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62*x - 90*x + 30 - 65*x - 229 + 221*x)*(-1 - 4 + 4).\nAnswer: -4*x + 199","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1100 divided by -220\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -30  (b) -4  (c) -0.5  (d) -73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 - 4*c**2 + 5*c - 4. Let i be d(3). Solve 6 - i = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 12:03 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 - 4*t + 1. Suppose 4 = 4*d - 4*u, 0 = -3*d + 2*u - 4*u + 8. Let a be h(d). Let b = a - -2. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 + -6. Suppose 19*k - 15 = 16*k. Suppose 4*h - 84 = 2*j, -k*h + d*j - 7 = -117. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 83496803 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 5*2*(81\/(-18))\/(-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -19825.4.\nAnswer: -9912.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15 + -2 + 4\/8*6. Let j = -6680 + 6752. What is the highest common factor of j and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of n**4\/16 - 5*n**3\/12 + 7*n**2\/8 - 3*n\/4 - 34. Factor l(r).\nAnswer: (r - 3)*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4014, 1596, -822?\nAnswer: -3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2772.7643 and 9.72.\nAnswer: -2763.0443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2300684.\nAnswer: 2, 71, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of p**6\/64 - 77*p**5\/40 + 181*p**4\/64 + 61*p**3\/8 + 299*p**2. Factor i(s).\nAnswer: 3*(s - 61)*(s - 1)*(5*s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -7*t**2. Let n be 71\/213 - 5\/(-6) - 1. Let a(q) be the second derivative of n*q**4 + 0*q**2 + 0*q**3 + 0 - 2*q. What is a(p(o))?\nAnswer: 98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*q - 42*q = 6. Calculate the greatest common divisor of q and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q**(1\/2)))\/q**9)**18\/((q**(-1))**(3\/2))**(23\/5) assuming q is positive.\nAnswer: q**(-1641\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 0  (c) 2  (d) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 AM and 12:44 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 9:04 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, s: 1, e: 2, g: 2}. What is prob of sequence gyg?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of -5*c + 0 + 15*c**2 - 1\/12*c**4 - 1\/3*c**3. Is 7 a factor of r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of 91*s**2 + 2\/15*s**5 + 0 + 0*s + 3*s**3 - 19\/8*s**4 + 1\/40*s**6. Find u such that y(u) = 0.\nAnswer: -6, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 - 9*h**2 + 77*h - 534. Determine x(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12)\/sqrt(6))**2 + sqrt(2))*3 + 0.\nAnswer: 3*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 32*r**2 + 31*r - 5. Let s be m(-31). Which is the nearest to -3?  (a) -5\/3  (b) 1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 35496 - 35493. Which is the third biggest value?  (a) 0.5  (b) 1\/6  (c) 1\/3  (d) -6  (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + (sqrt(242)*-2)**2 - 2*(2 + sqrt(242))).\nAnswer: -4830 + 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 31 = 2*w + 7, 4*w + 4*c = 16. Let r(o) = 5*o + w - 3*o - 3*o + 2. Calculate r(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -387683, -775367, -1163051?\n\"Answer: -387684*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3486 - 3485.7. Let t = 1083\/7 - 155. What is the closest to 2 in -2, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q = 2*p + 3*q + 14, -3*p + 5*q - 11 = 0. Let b(x) = -3*x**3 + 8*x**3 + 2*x**p + 4*x + 0*x**3. Let c(g) = 20*g**3 + 11*g. Determine -11*b(r) + 4*c(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = -v - 1, -j - 4 = 15*v - 11*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from uuuuiiuuuuuuuuiuii?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83703 = -6*m + 250005. Let y = m + -418064\/15. Let i = y + 154. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-5\/8)\/d**10*(d\/(d*d**(-10))*d*d)\/(d**(-9\/4)\/d))**(-7\/5) assuming d is positive.\nAnswer: d**(-259\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 23*s**2 + 2*s + 1. Let i(l) = 24*l**2 + 3*l + 1. Calculate -2*i(y) + 3*j(y).\nAnswer: 21*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 3*n = -86 + 84, 10 = 4*q - 3*n. Is q less than or equal to 5\/1992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**2 + 6*q - 5. Suppose 5*m - 29 = -p, 3*m - 5*p + 3*p - 7 = 0. Let r be x(m). Suppose i - w = 13, i = 4*w + 4 - r. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1 - 4\/((-12)\/129) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - 6a?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3000563?\nAnswer: 59, 50857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 - 2*b**2 - 2*b - 1. Let t be n(-2). Suppose 63 = t*u + 4*o + 14, 2*u - 5*o - 2 = 0. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 323, 520, 479, 80, -797, -2272, -4465?\n\"Answer: -20*m**3 + m**2 + 334*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 3*s - 63. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.36 - -0.96. Let c = x - 7.3. What is c rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-117)\/(-36) + 2 - 5. Which is the second smallest value?  (a) -1\/50  (b) -2\/3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -3*v + 2. Let w(d) = -48 - 6*d + 2*d + 50. Determine -3*u(j) + 2*w(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 167781522 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0  (b) 3\/5  (c) -1\/512  (d) 5  (e) -0.5  (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -469*h + 237*h - h**3 + 232*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 170068, 342977, 515886, 688795, 861704?\nAnswer: 1034613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72 - 38*r**3 - 107 + 40*r**3 - 3*r**2 + 3*r**2.\nAnswer: 2*r**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of -1\/12*l**4 + 0 - 2*l + l**3 + 0*l**2. Give w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 - 17. What is the tens digit of -1 + r\/2 - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -3*v. Let s be n(-1). Suppose 3*i - 2*j - 10 = -0, j + 5 = s*i. Suppose i*a = -5*a + 20. Solve -a*h + 2 + 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(4\/(-16))*-7. Let u be 2 + (-5)\/2 - (-6)\/t. Sort u, 0.1, 2\/9, -2\/15.\nAnswer: u, -2\/15, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 384*f - 382*f - 4318. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 4*s + 40 = 0, 2*s = 3*b - b - 24. Solve -f = -3*c + 16, 6*f - b = 3*f - 5*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -153, 0.5, -7893, -2, -1, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42 - (-20 + 8 + -1 + (13 - -3)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 855.8625um in kilometers?\nAnswer: 0.0000008558625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -4*i + 15. Let q(k) be the third derivative of 0 + 0*k + 4*k**2 + 1\/6*k**4 - 1\/6*k**i. Differentiate q(h) with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01254654 rounded to four decimal places?\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*g - 64\/5 - 4\/5*g**2 = 0. What is g?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 537*q**3 + 5*q**2 - 5. Let x(o) = -268*o**3 - 3*o**2 + 3. What is -5*x(f) - 3*y(f)?\nAnswer: -271*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -39*p - 253. Let r(i) = 33*i + 253. Determine -6*j(d) - 7*r(d).\nAnswer: 3*d - 253","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s**4 + s**4 + 0*s**4)*(1 + 2*s - 1) + 5*s**5 - s**5 - 3*s**5 + (3 + 1 - 3)*(-s**4 - 2*s**5 + s**4) + (3*s**2 - s**2 - 3*s**2)*(4 + 41*s**3 - 4).\nAnswer: -46*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-18)*(-3)\/(-2) + (-413842)\/(-238755).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = s - 5, l = 811*s - 816*s + 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1\/6 + 1\/3. Let g = -25.8 - -23.8. Which is the closest to g?  (a) -5  (b) d  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 - 16. Let b(o) be the second derivative of 2*o**3\/3 - 3*o**2 + 3*o. Does 18 divide b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c = 3*c - 110. Let x be c\/(-3) - (-2)\/3. Suppose 0 = -4*l + 16 + x. Solve 0 = 3*o - k + 3*k + l, -6 = 3*o - k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**3 + o**3 - 3*o**3 + (-2*o**2 - 3*o + 3*o)*(-2*o - 4*o + 4*o) + 2*o**3 - 3*o**3 + 5*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4786*x = 4794*x - 40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10318783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -245 or -246?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 13071 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: Let l(o) = 5*o - 248. Let c be l(50). Solve 2*t - 6*h - 13 = -3*h, t = -c*h + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.101196 - 46.804196. Let a = -46.9 - h. Round a to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 63*g**3 + g**2 + g. What is z(-1)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (4 - 2 - (-50 + 2 + 5))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 444, 434, 402, 336, 224, 54, -186?\n\"Answer: -2*k**3 + k**2 + k + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 198067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13173 is divided by 3070.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 22952 = -5*t + 84053, 2*d = t - 12223. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x**3 + 5*x**2 + 4*x - 3. Let a(t) = 6*t**3 + 14*t**2 + 11*t - 10. Determine 6*a(f) - 17*b(f).\nAnswer: 2*f**3 - f**2 - 2*f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 q when three letters picked without replacement from {q: 10, z: 10}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*u - 99*u + 4512 = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 4*h - 2*i, 179*h - 16*i + 11*i = -0*i + 348 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -3*m - 8, -2*m = -5*m + 2*z + 4. Sort -4, -5, m, 4 in decreasing order.\nAnswer: 4, m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1 - -2472.\nAnswer: 2472.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-507)\/(-4732))\/((-1)\/(-4)))\/((-1)\/(-7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 66*w**2. Let t(s) = 1148*s**2 + 18*s - 1. Determine t(x(v)).\nAnswer: 5000688*v**4 + 1188*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1272 divided by 66442.\nAnswer: -636\/33221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 + 107 - 5) + (-447 - -417).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v = -v + 35. Let f(o) = -o**2 - 4*o + 5. Let m be f(v). Let a(i) = -i**2 + 26. Is a(m) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by -64.\nAnswer: -25\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -15 or -465\/32?\nAnswer: -465\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of -t**7\/1995 + 7*t**2. Factor h(z).\nAnswer: -2*z**4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -45?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -140 - -328. Suppose 4*j = -3*b + 185, 4*j = -4*b - 0*b + g. Is j + 0\/(9\/3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/464 and -53\/769008?\nAnswer: 22301232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q + 10. Let x be m(-7). Let l be (-1)\/(4\/28 - (-16)\/(-14)). Calculate the highest common divisor of l and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1840 + 1840 + r**2 - 148*r)*(3 + 8 + 4)*(-3 - 1 + 5)*(0 - 1 - 1).\nAnswer: -30*r**2 + 4440*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 5*l**2. Let k(y) = 7*y + 4*y**2 - 7*y - 7*y**2. Give x(k(d)).\nAnswer: 45*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 244818.\nAnswer: 2, 3, 7, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (3 - -10) + (-28)\/(-42) + (-164)\/12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-14))\/((-7)\/(-49))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193172293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 3:29 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 12) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 5*l**2 - 87*l + 82. Let d be i(1). What is h in -1\/7*h - 1\/7*h**5 + 2\/7*h**3 + 0*h**2 + d*h**4 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6302\/15 - -420. Put h, 0, 3, -23 in increasing order.\nAnswer: -23, h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 1. Suppose 5*g + 2*b = -29, -4*g - b = -g + 17. Let y be j(g). Solve -3*d = -y*a + 35, 2*d + d = -3*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-95)\/57)\/(720\/(-756)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 471 = 2*b - 9, 3*b = -2*k - 308. Let m = k + 357. Let q = -56 + m. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5772115567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -3*p**5\/2 - 47805*p**4\/2 - 644274*p**3 = 0.\nAnswer: -15908, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40 + 12. Let n = 12 - q. What is the remainder when 79 is divided by n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 2. Suppose -g*y + 2*c = 18, 5*y - c + 21 = -2*c. Let b be (-12)\/y - 3\/(-5). Put 4, 2, b in decreasing order.\nAnswer: 4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-4) - (-2940)\/(-120)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -164 - -163. Let s(l) = 22*l**3 + l**2 - l - 1. Calculate s(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 8:17 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -11022122230?\nAnswer: -11022122233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 86 divided by -43\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s + 17. Let j be q(-7). Let f(b) = -b + 15. Let h be f(j). Suppose 4*x - 27 = -3*u, 5*x + 5*u + h = 35. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41106, -41080, -41052, -41034, -41038, -41076, -41160, -41302?\nAnswer: -41514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -15*j**3 + j**2 - 14*j - 25. Let d(g) = 7*g**3 + 7*g + 12. Let x(y) = -13*d(y) - 6*i(y). Let z(m) = m - 14. Let s be z(10). Calculate x(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 136 + -135. Is 6 + (-1 - (-4)\/f) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - (7 + 3 - 13)) + -15 + 3 + -4\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 5) + (9 - (15 - 2)) - 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*p**3 - 12*p - 9*p - 5*p**3 - 8*p**3 wrt p?\nAnswer: -108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 4*n**2 + 9 + (-3*n + 4*n - 3*n)*(3 - 1 - 6)*(-1 - n + 1))*(-4*n**2 + n**2 + 2*n**2).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 583, 486, 389, 292?\n\"Answer: -97*j + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -219 - -1535\/7. Let i = -0.13 - 0.07. Which is the nearest to 0?  (a) 0.3  (b) p  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 166358 and 3730?\nAnswer: 831790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2011 (base 3) to base 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*n = -45 + 172 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 519863?\nAnswer: 519863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10487 divided by 70.\nAnswer: 10487\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-119)\/28 + (-1)\/(-4). Let n = i - -11. Find the first derivative of n*k**4 - 4 - 52*k + 52*k wrt k.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3 - 30*c**2 + 93*c - 90.\nAnswer: 3*(c - 5)*(c - 3)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = 1504*i - 1506*i - 4, 4*f - 5 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 394.33 + -391. Let g = -0.67 - o. Let p = -0.02 - 0.01. What is the nearest to 0.1 in g, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 2 + 15996*t**2 - 2*t + 3*t + 0*t.\nAnswer: 15996*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -365, -350, -351, -374, -425?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 125*n + 2. Let l(u) = 126*u + 4. Calculate -2*l(t) + 3*m(t).\nAnswer: 123*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(((-4)\/2)\/(-2)). Suppose z = 5*c - 29 - 1. Solve -6*y = -3*y - c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -852, -854, -856, -858, -860?\n\"Answer: -2*h - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 1156*a - 3. Let x be b(1). Which is smaller: x or 1154?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.6219098 rounded to 3 decimal places?\nAnswer: 4.622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (846\/(-27))\/((-56)\/787164) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14.9 - 15. What is the nearest to -4 in 3, y, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76875553 + -0.3\nAnswer: -76875553.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 33413302.78 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 4*t = 180, -3*t + 4*t + 67 = v. Suppose v = -10*y + 26*y. Factor -1\/3*n**y + 0*n**3 + 0*n**2 + 0*n + 0.\nAnswer: -n**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1567 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 148 and 745846.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11974*o*r**2 - 2932*o*r wrt r?\nAnswer: -23948*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 3, -t - 2 = 5*r + 1. Suppose 206 + 24 = t*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = 5*o + 161 - 191, -5*f - 4*o = -27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 505 - 504. Solve 2*o + 2*z + 14 = 0, -o + 0*o - x = -2*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -11185.9\nAnswer: 55929.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**3\/11 - 39012*z**2\/11 + 779640*z\/11 - 3897200\/11.\nAnswer: 2*(z - 19486)*(z - 10)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -5 - 1 + 9*n + 4*n - 28*n + n**2. List the prime factors of p(21).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 44.1 + -44. Which is smaller: v or 9\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 119, 288, 563, 938, 1407, 1964, 2603?\n\"Answer: -a**3 + 59*a**2 - a + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2018*g + 5413*g + 3535*g - 46551 - 46540 + 93091.\nAnswer: 6930*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 379217888.\nAnswer: 2, 7, 271, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -193\/12 - -49\/3. Let o = 3\/10 - -6\/5. What is the biggest value in k, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 14) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**2 - 751962*j - 254685276 = 0.\nAnswer: -375642, -339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 23642 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 65 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2 + 2*i + 2. Let m(s) = s**2 + 6*s - 6. Let a be m(0). Let q(v) = 0*v**2 + v - 2*v**2 + 1 + v**2. Let b(w) = a*l(w) + 11*q(w). What is b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(4\/13)\/y*y*y**(3\/13))**44 assuming y is positive.\nAnswer: y**(308\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-9))\/(23\/(-966)*-30)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2\/57 - -65\/228. Factor 0 - x*y**4 + 0*y**2 + 0*y**3 + 0*y.\nAnswer: -y**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -21*y - 4. Let t(o) = -20*o - 4. Suppose 0 = 5*d + 5*z - 0*z + 25, -1 = 5*d - 3*z. Let x(u) = d*t(u) + 3*k(u). Differentiate x(f) wrt f.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 468, 30, -16.\nAnswer: -16, -7, 30, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 0.4, 1\/5, -13.99, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - 30. Let r be k*(2 + -3) - -10. What is the second derivative of 15*y + 10*y**4 + 18*y**4 - r*y**4 wrt y?\nAnswer: 204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 595437197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 15*b**2 + 2*b - 7. Let c(t) = -3*t**3 - 78*t**2 - 4*t - 84. Calculate the remainder when g(5) is divided by c(-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 + 32. Let a = s - 13. Let u be (-2)\/(-1) - 15\/a. Is u less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1013 - -5?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**9*y*y*y)**(-6) assuming y is positive.\nAnswer: y**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 0. Suppose n + c = 2. Let x = -2 - -3\/2. What is the closest to -1\/4 in n, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 PM and 7:50 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 + 28. Suppose 9*u + 1 = g. Calculate the common denominator of -103\/14 and (69\/35 - u)\/(2\/335).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 48.53417 hours?\nAnswer: 174723012000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00399896545 rounded to 5 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of f**5\/60 + 7*f**4\/3 - 19*f**3 + 2*f**2 + 75. What is the derivative of q(z) wrt z?\nAnswer: 2*z + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d\/(d*(d*d*d\/d**(1\/12))\/d))*d*d**(2\/19))\/(d*(d*d*d**(-1\/4))\/d*d*d*d**4))\/((d\/d**(-1\/4))**(-20))**47 assuming d is positive.\nAnswer: d**(133411\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000016217204 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 a factor of 541440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 - 5*r + 4. Let m be q(5). Suppose -13 = -m*v + 3*v. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/153 at most as big as 308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of j**6\/450 + j**5\/25 + j**4\/6 + 11*j**3\/3 + 157. Let d(l) be the third derivative of h(l). Factor d(g).\nAnswer: 4*(g + 1)*(g + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 274959 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 14) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 673 = 701 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*p - 15*p + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9879260 is divided by 1097695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1151 divided by 81.\nAnswer: -1151\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 44886619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -96870448 divided by 544216\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) 7\/1063  (c) 0.05  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/99 - -106\/693. Let f = -22575 - -22571. Sort o, f, 1\/2 in increasing order.\nAnswer: f, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ytipptsiiiyyqqipqip. Give prob of picking 2 y and 2 i.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 29 + 8*n - 29 + (-41 + 41 - 18*n)*(1 + 0 - 2 + (3 - 4 - 1)*(2 - 1 - 2) - 1 - 1 + 3 + 2 + 2 - 2 - 3 + 4 - 3 + 2 - 4 + 3).\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = g + 2*h - 12, 0 = h + 4. Let l = -100 - -99. Which is the nearest to l?  (a) 2  (b) g  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*x - 10*x = 27*f - 31*f - 48, 83*x = 86*x - f - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f - 48 = -0*f. What are the prime factors of (2 - f)*(105 - (-4 - -4))?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -3*d + 2. Let y(x) = 2*x - 2. Suppose -152 = -13*j + 9*j. Let v = j + -34. What is v*y(l) + 3*n(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-2\/45)\/i)\/i)**(-23)\/(i\/((i*i**(-5\/4))\/i*i)*i*i**(-36)))**(-1\/2) assuming i is positive.\nAnswer: i**(-14539\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 81\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 6:32 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 187 (base 12) to base 15.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 - 17*a**2 - 17*a - 14. Let i be f(-16). Suppose -3*c - c = -i*d + 32, 0 = c + 4. Solve 3*o - d*o = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72808?\nAnswer: 2, 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, c: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*g = 2136 - 864 - 852 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 PM and 8:21 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 121, -3, -144, 4, -1 in increasing order.\nAnswer: -144, -3, -1, 4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {m: 10, z: 2, n: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15 + 11?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 - -20. Let p be (-3)\/(k\/4) - -4. Let b be 0\/((0 - p)\/4). Let v(f) = -f**2 - 14. Give v(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 979, 1006, 1037, 1072, 1111, 1154?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -322 - 7175 = -1071*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - -5) + 11 - (3 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -c + 6, -93 = -2*a - 2933*c + 2914*c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*v + 8*v + 61*v - 931 = 0 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 4*r + 36, 44*r = 3*o + 41*r - 63. Solve 10*c + q = 5*c + 29, -o = -4*c + q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/x**(-1)*x*x**(-7)\/x*x*x*(x**(-2))**(3\/8) assuming x is positive.\nAnswer: x**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 - 15*o - 19. Let r be j(-9). Let v = -1578 - -1586. Solve 3 = v*n + r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((4*(sqrt(500) + 2*sqrt(500)))\/(2*sqrt(1000)))\/((sqrt(40) - sqrt(40)*2)*6 - 1*sqrt(5760)).\nAnswer: -sqrt(5)\/60 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 5. Let f(p) = -1. Let i(n) = 11*n + 2. Let d(w) = -4*f(w) - i(w). Let b be d(x). Solve 3*v - b = -2*c, 4*c + v = 1 + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161c1 (base 15) in base 9?\nAnswer: 117701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 + 436*t + 20628.\nAnswer: (t + 54)*(t + 382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -3*d. Let k(c) = c. Let b(l) = 2*k(l) + r(l). Let f(s) = -s**2 + 4. Let o be f(0). Let n(v) = -1 - o*v + v + v. What is 3*b(w) - n(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 3*y + 24, -3206*y + 5*w = -3201*y - 140 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(65)*6 - sqrt(65)) + sqrt(65) + sqrt(65) + -1*(sqrt(65) + (sqrt(65) - -1*sqrt(65))))\/(sqrt(125)*2*-2).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -467 (base 16) to base 2\nAnswer: -10001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -3. Let u(b) = 9*b - 3. Let m be u(4). Let r = m + l. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 124  (b) -5  (c) 4  (d) 2\/7  (e) 0.8  (f) 1.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 15.45 and 33445?\nAnswer: 516725.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 2297 = -5*a, -a = 3*d - 944 - 212. What are the prime factors of d?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 102*c + 5. Let s(z) = -201*z - 8. Give 5*r(u) + 2*s(u).\nAnswer: 108*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 280 divide 851480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4793464996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -332, -342, -352, -362, -372?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 208784444\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 12:39 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -576 + 576. Solve -4*c - p - 9 = w, -3*c - 5*p = -0*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 186, 223, 250, 261, 250?\n\"Answer: -o**3 + o**2 + 41*o + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - -5. Suppose -2 + o = v. Calculate the remainder when 9 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5 - (-96)\/(-21) - (-156)\/(-21). Let m(i) = -i**2 - 12*i - 9. Let h be m(p). What is the greatest common divisor of 78 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61 + (-10 - (25 - 4)) - 93\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, u: 4, i: 10, c: 4}. Give prob of picking 1 c, 1 i, and 1 n.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 19919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/5)\/((-50)\/(-500)). Is (10 - (-13804)\/16)\/(1\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, m: 5}. Give prob of picking 1 d and 1 m.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2953\/13 + 227. Which is the smallest value?  (a) f  (b) 1  (c) -4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17348733 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 7*n**2 + 9*n - 3. Let v(p) = -5*p + 8. Let i be v(0). Determine a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 6, q: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -a4 (base 16) to base 11\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - (-5 + 2)) + 2. Let v = c - -5. Suppose 3 + v = g. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17585.33ug to kilograms.\nAnswer: 0.00001758533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 5*x = -58, 0 = 5*x - 32 - 8. Solve 14*m - u = 12*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + 8. Solve 0 = -3*t + 3*d - d + 2, -t = 2*d + w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 18. Let p = -8 + t. Suppose 2*u = -p*a - 4*a + 20, -3*a - 4*u + 10 = 0. Put a, -2\/13, 1 in decreasing order.\nAnswer: a, 1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, -3, -107 in decreasing order.\nAnswer: 0, -2, -3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -39.692 and -42669004.2?\nAnswer: 42668964.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s - 1. Let z(l) = 80*l + 44. Let v(n) = 88*h(n) + 2*z(n). Let o be v(-3). Let j = 1515\/7 + o. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 4*n + 12 = 0, -79*z - 5*n = -74*z - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -583, -1302, -2249, -3526, -5235, -7478, -10357?\nAnswer: -13974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of -2\/9*m**3 + 2\/15*m**5 - 1 - 1\/18*m**6 + 0*m + 1\/6*m**2 + 0*m**4. Let x(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*6\/4 + 4. Let r = l - -37. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 3*h - 7 = 0, -3*h + 7*h = -u - 8. Let b = -4 + 4. Suppose -t - u*t + 10 = b. Sort -2\/13, t, -3\/5 in decreasing order.\nAnswer: t, -2\/13, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -3*n**3 + 6*n + 4*n**3 + 2 + 11 + 16*n**2 - 19. Calculate the remainder when q(-14) is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -6779457234.531 and 0.1.\nAnswer: -6779457234.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8 - 8 + 5*k + (-6*k + 11*k + 12*k)*(1 - 34 + 3).\nAnswer: -505*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 + 6. Let l be s(2). Suppose -3*g - l*c = -121, 0 = -4*g + 5*c + 277 - 85. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*o + 3*o - 31*o**3 - 6*o**3 - 8*o to the form v*o**2 + x + h*o + s*o**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*m**2 + m**2 + 9*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -5*p**2 + 39*p + 3. What is k(6)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 2*v**2 - v**2 + v**2 - 23 + 10. Let i be m(-3). Factor -255*d**2 - 13*d + i*d + 261*d**2 + 2.\nAnswer: 2*(d - 1)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-4)\/6 - 546\/(-112) and -95\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4039 - -4200. What is the greatest common factor of 1909 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + 10*i + 12. Let s be m(-8). Let b(q) = -2*q**2 + 2*q - 2. Let y(t) = 3*t**2 - t + 2. Let w(v) = s*b(v) - 3*y(v). What is w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the third derivative of -7\/6*b**3 - b**2 + 0 + 1\/6*b**4 - 11\/60*b**5 + 163*b. Let j(w) = -6*w**2 + 2*w - 3. Calculate -3*g(x) + 7*j(x).\nAnswer: -9*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1022  (b) 2\/23  (c) -15  (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18.4 - -14.4. Which is the closest to 1\/3?  (a) 4  (b) j  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -146, 3 in descending order.\nAnswer: 3, 2, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-2*(sqrt(288)*-3 + sqrt(288)).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -7*f**3 + 5*f**2 - 4*f - 5. Let q(l) = -6*l**3 + 4*l**2 - 4*l - 4. Let r = 27 - 25. Suppose 4*s - 10 = r*s. What is s*q(g) - 4*v(g)?\nAnswer: -2*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 1:47 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 180429 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 4) + 4 - 2 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2135903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*y - 7*y - 147. Calculate the lowest common multiple of ((-98)\/56 + 4)\/((-3)\/(-8)) and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 3*o**2 + 16. Let i be l(-4). Let q be (-4)\/(-10) - 48\/(-30). Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 + 12. Let m be 3 + (3 - v) - 1. Sort -0.4, -1, m in descending order.\nAnswer: m, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 163 - 252. Let h = n - -98. Suppose -4*j - 106 = -3*t, -j - 68 = -5*t + 103. Calculate the remainder when t is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - -2) + (19 + -21 - (1 + 14))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*c**2 - 93*c - 100*c**2 + c**3 + 131*c**2 + 108*c**2.\nAnswer: c**3 + 250*c**2 - 93*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(2\/43)*h**(-1\/5)*(h**(-4\/7))**(6\/13) assuming h is positive.\nAnswer: h**(-8163\/19565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -172392869473.6 - -0.8?\nAnswer: -172392869472.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0  (b) -1\/4  (c) -0.1  (d) -0.07  (e) 26  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k**4 + 5*k - 5*k + (1 + 4 - 4)*(-2 + k**4 + 2))*(k - 5*k + 3*k).\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**3 + 4*b**2 - 3*b - 7. Give p(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*p**3 - 81*p**2 - 21*p.\nAnswer: 3*p*(p - 7)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, 1, 5 in ascending order.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 84389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**3\/10 + 6536*j**2\/5 + 872942*j + 711064872\/5 = 0. What is j?\nAnswer: -322, 13716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/6 + -2 + 0. Let d(k) = -k**2 + 4 - k**3 - 6*k**2 - k**2 + 10*k. Let s be d(-9). What is the nearest to y in -1\/7, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {y: 1, m: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 535922 divided by 5?\nAnswer: 535922\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of g**5\/40 - g**4\/6 + 5*g**3\/12 - g**2\/2 + 2*g + 7. Let k(z) be the first derivative of t(z). Let k(m) = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -32, 2\/7 in increasing order.\nAnswer: -32, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 0*p + 38 = -2*p, -3*w - 5*p + 61 = 0. Suppose 3 = 4*s - 13. What is the greatest common factor of s and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3)*f\/(f*f*f**(5\/2)))**(-29)\/(f*f\/(f\/(f*f**(1\/4)))*(f\/f**(-1)*f*f)\/f*(f*f**(-1))**(1\/47)) assuming f is positive.\nAnswer: f**(733\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -226 - -235. Let p(d) = d**2 + 6*d - 6. Is 14 a factor of p(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43\/5 - 119\/15. Let x = 0.1 + 2.9. Which is the nearest to 0?  (a) -5  (b) y  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 637*h + 664 = 339*h + 381*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 47, 84, 115, 140, 159?\n\"Answer: -3*r**2 + 46*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1247909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h**(-6\/7)\/h))**(-2\/3) assuming h is positive.\nAnswer: h**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f - 14. Let x be q(9). Let p be 19\/(-45) + (-1)\/(-10)*2. What is the closest to -1 in p, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11158680499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 2 + 2 = 0. Suppose 0 = -y - 15*y + 6*y. Solve -4*u - 4*j + j - 1 = y, 0 = r*u + 2*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5938 + 6043. Which is greater: 104 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 28800348*v**2 + 278436 wrt v?\nAnswer: 57600696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-3\/4)\/u)\/((u\/(u*u**(-7\/3)\/u))\/u) assuming u is positive.\nAnswer: u**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r**(-1\/2)\/r*r)**(-35)\/(((r**(-1\/4)*r)\/r)\/r)**(-9\/8)*((r*(r\/(r\/((r*r**(-1))\/r))*r)\/r)**(-30\/7))**(1\/7) assuming r is positive.\nAnswer: r**(-1725\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 + 234*m - 234. Calculate p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9273 and -0.3.\nAnswer: -2781.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(195\/(-14))*100*482\/19280?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - b = 412. Let d = b - 134. Let x be (-108)\/78*104\/(-12). What is the greatest common factor of x and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 9 = -4*i. Calculate the highest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -74 - -217?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 572864 is divided by 2983.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*p - 85 + 92 - 5*p**3 + 2*p to the form s*p**3 + w*p + c*p**2 + k and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1255 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 + z**2 + z + 15. Let h(v) = 3*v + 24. Let y be h(-8). Let u be f(y). Solve -4*i + 5*i = 2*p - 3, u = i + 4*p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 + -106. Let y = q + 124. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 546*l - 9 = 544*l, 4*w + l - 18 = 0. Which is greater: -1400 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 5*v**2 + 8*v - 7. Let j be x(6). What is the greatest common divisor of 55 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*k - k + 8*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p + 7. Let v be z(6). Let k = 21 - 13. Let u = v + k. Which is the third biggest value?  (a) -3  (b) u  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*y**2 - 2454837*y + 4909630*y - 2454765*y.\nAnswer: -8*y**2 + 28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 - 5*h**2 + 4*h + 1. Let d be j(4). Suppose 19 + d = -4*b. Let c(v) = -v - 5. Calculate c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14830\/7 at most 2119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4950130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/5 and -36\/1475?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 + 17*q**2 + 39*q - 7. Let v be z(-9). What is the greatest common factor of 174 and v?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3984 - 566*x + 3254*x**2 - 6867*x + 1289*x - 1820*x + 722*x**2 + 4*x**3 = 0. What is x?\nAnswer: -996, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 3:05 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 13) to base 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -26.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34 + -50.5. Let p = m - -25. Round p to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 213122 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.8, 0.5, -99.\nAnswer: -99, 0.5, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 69 - 63. Solve 27 = m*k + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 9) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-29)\/(-58) + ((-3403)\/(-2) - -1). Suppose -6527 = -9*q - h. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1676.9 rounded to the nearest 10?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -870 divided by 191?\nAnswer: -870\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r\/r**28)))**(2\/71) assuming r is positive.\nAnswer: r**(-54\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.7 - 0.3. Let p be 10\/2*(4\/(-5))\/(-2). Suppose -8*k - p = -42. Put x, 0, -3, k in decreasing order.\nAnswer: k, 0, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(288) + 1 - sqrt(288) - sqrt(288)) + 1)*-1 + -2)**2.\nAnswer: -96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 165\/(-99) - (-218)\/3. What is the greatest common divisor of h and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 x, and 2 a when four letters picked without replacement from azarmxmrxmraxargar.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of -y**6\/24 + y**5\/3 + 5*y**4\/8 - 15*y**3 + 23*y**2. Determine f so that n(f) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1040.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -4660526*h. Let s(d) = 2*d**2. Give q(s(z)).\nAnswer: -9321052*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 2 - 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16695782.\nAnswer: 2, 43, 83, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10847393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -64  (b) -4  (c) 0.6  (d) -3\/65  (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 4*k**3 + 2*k**2 - 2*k + 1. Let h be ((-2)\/3)\/((-14)\/21). Let y be l(h). Factor 0*a**4 + 0 + 2\/3*a**2 + 2*a**3 + 0*a - 8\/3*a**y.\nAnswer: -2*a**2*(a - 1)*(2*a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1656*b - 519*b + 10*b.\nAnswer: -2165*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -25375*k - 1875. Let y(f) = -115 + 106 + 2*f - 124*f. Let v(c) = 3*u(c) - 625*y(c). Let j(n) = 2*n**2. What is j(v(i))?\nAnswer: 31250*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -302*j + 8225 - 2941 = -4078 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.846, 1, 5, 0.3, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of -l**4\/12 + 829*l**2. Let z(m) = m + 63. Calculate i(z(d)).\nAnswer: -2*d - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -2*m**2. Let u(z) = 2989349*z**2. What is x(u(o))?\nAnswer: -17872414887602*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -103898, -103941, -103984, -104027?\nAnswer: -104070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 9  (c) 4  (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2079 and 28?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16587285 a multiple of 1443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwfwwfwwfffywfywwff. Give prob of picking 2 y and 1 w.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**2 + 1241102*g - 1241104 = 0 for g.\nAnswer: -620552, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 14) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -39. Let s be (-2)\/10 + h\/(-35). Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qydq when four letters picked without replacement from {d: 4, y: 4, f: 2, q: 2}?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 7 - 5 - 3 + 0. Let w(d) = -1. Let x(p) = o(p) - 2*w(p). Let v(b) = -b**2 + 5*b + 7. Let q be v(6). Let n(c) = 2*c - 6. Calculate q*n(i) + 4*x(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*8928\/(-8680)*(42\/(-10))\/3?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 190184424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 27 - 6 = 0. What is the remainder when 101 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.815 - 0.015. Let m = -60.8 + o. Let i = -53.99828 - m. Round i to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -35893, -36072, -36251?\n\"Answer: -179*t - 35714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.11872 weeks to microseconds.\nAnswer: 8539001856000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ffffefeffffff.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 3*m - 5*p - 35, -2*m = 4*p + 10. Suppose -z - 2*z + m*x = -1, -2*z + x = -3. Factor 4\/7*u**z + 0 + 2\/7*u + 2\/7*u**3.\nAnswer: 2*u*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 0) + -5 - (-13 + 23).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24897131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6368168 divided by 8?\nAnswer: 796021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t + 3*t - 6120 = 0. Suppose t = 12*h - 9*h. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 12*x**3 + 9*x + 9. Let u(w) = -w - 1. Determine -9*u(v) - z(v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 237042 and 95238.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 3*d**3 - 2*d**2 + 2*d - 1. Let u be m(1). Let s = 188 - 192. Which is the nearest to u?  (a) 0.4  (b) -2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40098703*-1\nAnswer: 40098703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -361 - -304 - (-27 + 0).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*f**5 + 27*f**4 - 45*f**3 + 33*f**2 - 9*f.\nAnswer: -3*f*(f - 1)**3*(2*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -113.65 - -114.15. Which is the fifth smallest value?  (a) -0.2  (b) l  (c) 1\/13  (d) -0.1  (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 408 - 261 = 197*s - 444. Which is smaller: s or 166\/61?\nAnswer: 166\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 24368 - 137157. Let b = o + -1234107\/11. Let c = b + -593. Calculate the common denominator of -12\/5 and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 3*b + 48. Let k be h(-15). Solve 0 = -k*r + 15 - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**4\/(x\/x**(-2))*x**(1\/6)\/((x**1\/x)\/x) assuming x is positive.\nAnswer: x**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*i - 0*i + 5*s, 2*s + 3 = 3*i. Let t(g) = 0*g + i*g - 4*g. Let z(h) = 3*h - 1. Determine -2*t(r) - z(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cscc when four letters picked without replacement from {s: 7, c: 9}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**2 - 49*n - 41. What is x(-22)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 15 = -5*x. Suppose -10*i = -x*i. Suppose 36 = 3*d - i*d. 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: What is 129314909 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2. Let d(s) = 7*s - 6*s + s. Determine d(r(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 284595909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -591*z = -441*z + 1800 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*y - 52*y + 42 = -6*y - 3*l, 2*l = -y - 28 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 196 (base 14) to base 5\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -133 - (-137 + -5) - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**2. Let m(o) = -o + 5. Let w be m(3). Suppose 0 = -w*d + d + 2. Let s(z) = -z**2 + z**d + z**2. Calculate s(p(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33055602 is divided by 387?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/(-6) - ((-224)\/(-42))\/16. What is the tens digit of 532 + (-2 - -9 - q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -9\/2, 1.9, -10, 3 in descending order.\nAnswer: 3, 1.9, -2\/7, -9\/2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c**3 + 80*c**2 - 52*c - 12. What is q(26)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n = 8*n - 7*l - 171, 5*l - 120 = 5*n + 9*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9274 = -3*q + 5*b, -14287 = -3*q - 5*b - 5063. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-195)\/105 - 18\/(-21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w**2 - 2*w**2 - 3*w**2)*(-w + w + w**2) + 5*w**2 + 4*w - w + 3*w**4 - 3*w**2.\nAnswer: 2*w**4 + 2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.106043044 from -0.2.\nAnswer: -1.306043044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 2*c + 4*c)*(4*c + 151 - 151).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 + 7*v**2 + 10*v + 2. Let g be p(-5). Suppose -4*l = -7*l. Let a(x) = x**3 + x**g + 0*x + l*x**2 + 2 + 2*x. Give a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 470*x - 3 + 8 + 6.\nAnswer: 470*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 - -4 - (46 - 42) - 21.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98*c = -2*m - 100*c + 8, 5*m = c + 14. Let k = -13 + 25. Calculate the least common multiple of k and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 + 1)*(3934 - l**3 + 7518 - 7596) as o*l**3 + n*l**2 + p*l + j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-p + p + 2*p)*(263 + 310 - 636)*(-13 + 2 - 1)*(-5 + 0 + 3) as m*p + j and give m.\nAnswer: -3024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1700 - -1763. Calculate the greatest common factor of 36 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(2\/(-8)))\/2. What is the third smallest value in h, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 704765858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (690\/20)\/(2\/4). Suppose -k = -9*i - 33. Which is the closest to -1\/7?  (a) 0.5  (b) -0.1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -512 (base 9) in base 14?\nAnswer: -21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 464 and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10089*a - 10089*a - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 112840013 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4 + 7 + -19 + 20. Let s(u) be the first derivative of 0*u**2 + 5 + 1\/2*u**g + 0*u**3 + 6*u. What is the first derivative of s(p) wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -733890 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-15))\/(24 - (-112344)\/(-4680))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -26 in -102, -0.78, 3?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -16\/7 and 13\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/180 and 19\/8766.\nAnswer: 87660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + l + 3. Suppose -4*r - s = -11, r + s - 4*s + 7 = 0. Calculate the smallest common multiple of (18\/4)\/(0 + r\/4) and h(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/(-14) - 14\/49. Let v be (6 + h + 0)*1. Suppose f - 4*f - 904 = -v*b, 360 = 2*b - 2*f. What is the highest common factor of 26 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g**3*s + 2*g**3 - 575*g**2*s - 1024*g**2 - 217121327*g*s wrt g.\nAnswer: -12*g*s + 12*g - 1150*s - 2048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 times 0.0332449?\nAnswer: 0.000664898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v. Let a(z) = -6796*z - 24. Let t(f) = 6795*f + 28. Let u(j) = -7*a(j) - 6*t(j). Give u(i(l)).\nAnswer: -6802*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of -2*a**3\/3 - 9*a**2 - 5*a. Let g be t(-6). Suppose -g*c = -7*c. Solve c*s - 4*i + 13 = -s, 0 = -2*s - 3*i + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 4 = x. Let z be 28\/21 - (2 - x). Which is the third biggest value?  (a) 0.1  (b) z  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 0 + 3 - 6 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 2 = 2*u, -5*u - 210 + 171 = -6*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3351.85 * -0.5\nAnswer: -1675.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -80 - (-87 - 30 - 18).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 17\/4 + -2 - (53 - 51). What is the fourth smallest value in f, 2\/9, -8\/11, -52\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -7*x + 3*z, -5*x + 37*z - 41*z = 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*((u**1*u*u)\/u*u)\/u)**39\/(u**1*u*u)**49 assuming u is positive.\nAnswer: u**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.1, -22, -0.8, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.11*58648.\nAnswer: 6451.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 38407.7mg?\nAnswer: 0.0384077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 921 a factor of 4824557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 74 - -278669?\nAnswer: 278743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 189759 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4.554 and 0.3.\nAnswer: 1.3662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) + 4)**2 - (3 + (sqrt(11) - -3*sqrt(11))).\nAnswer: 12*sqrt(11) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*l + 1781742 - 1778358 = 0 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + l + 5200 + 36380 = 0, -4*l - 83156 = -4*o. What are the prime factors of o?\nAnswer: 17, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 - 2*v**3 + 0)*(4*v - 6*v + 4*v) + 5 - 5 + 6*v**4)*(6 + 1 + 18) to s + m*v**3 + p*v**4 + g*v + x*v**2 and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1400954 kilograms in micrograms?\nAnswer: 140095400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -3*g - 23. Let d(q) be the third derivative of -q**4\/3 - q**2 + 197. Give i(d(o)).\nAnswer: 24*o - 23","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Express 2*p**2 + 3 - 4*p**4 + p**4 - p**3 + 5*p**4 in the form z*p + w*p**4 + l*p**2 + b + v*p**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3764229961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 31.5 - 27. Let b = p + -36.5. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 139, -21.\nAnswer: -21, -3, 0, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 114.808 + -114.74. Which is bigger: h or -21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**2 + 5*q - 4. What is the units digit of a(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-156)\/(-48) + (-6)\/(-8). Suppose -5*o - v + 47 = v, 5*o - 41 = m*v. What is the remainder when 34 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(432) + sqrt(432) + -3*sqrt(432) + sqrt(432) + -1)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l + 170 = 2*l. Calculate the common denominator of 49\/22 and (-2)\/((-32)\/l)*-4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 75, 136, 217, 324?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -977 at least as big as -1000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 4*g = 4. Suppose -7 = -6*w - 1. Let x(a) = -17*a + 11*a + 10*a - w. Calculate x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*m**2 + 115*m + 32*m**2 + 6 - 268*m + 2*m**3 - 65*m**2 to the form f + h*m**3 + d*m + a*m**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-3)*v*v**(-1\/16)*v*v*v*(v**(1\/18)\/v)\/v*v\/v**(-13) assuming v is positive.\nAnswer: v**(1871\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nzzz when four letters picked without replacement from {h: 2, n: 1, k: 1, z: 8, c: 6}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 18, d: 2}. What is prob of sequence xdd?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 3*s**4\/4 + 7*s**3\/3 - 7*s + 2. Let v be 1*(10 - 2) + -1 + 1. Is d(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -34 + 32.88. Let h = l + 0.12. Suppose 18*k - 13*k = -4*t + 32, -5*k - t = -23. What is the third smallest value in -4\/3, 0.1, h, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-252)\/(-30))\/((-6)\/140). Let x = i - -221. Solve 6*u - x = 11*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 22\/9, -3\/2, -2, 129?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 880.277l?\nAnswer: 880277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 326397353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5209.\nAnswer: 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 718*o - 476. What is the thousands digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 77854 and 664?\nAnswer: 311416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 7166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -g - 13. Let o be (10 - 3) + g + -8. Suppose 0 = -o*i - j + 48, -2*j - 34 = 2*i - 5*i. Calculate the greatest common divisor of i and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -2*x + 90, -6*x + 2*x = -4. Suppose -4*n = -4, 4*g - 5*n = g + 4. Suppose -g*i = i - 5*y + 191, 35 = -i - 3*y. Is i >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 539.8514cm to meters.\nAnswer: 5.398514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q**2 - 55. Let v(w) = 183*w**2 + 14*w + 7. Let s(m) = -104*m**2 - 8*m - 4. Let b(t) = -7*s(t) - 4*v(t). What is x(b(o))?\nAnswer: -32*o**4 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/((q\/((q\/(q*q**(1\/5)*q))\/q))\/q)*q**(-1)*q*q**12*q**(-21))**(4\/37) assuming q is positive.\nAnswer: q**(-204\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 2 q, and 1 x when four letters picked without replacement from {k: 1, x: 4, w: 1, h: 3, q: 8}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000052878 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1112 (base 14) to base 7\nAnswer: 11422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -35*y + 318. What is z(10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*w = 44*w - 408 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4630 is divided by 360.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**2 - 15*w. Let t be q(8). Suppose -4*s + 4*r = -t, -9*s + 8*s - 13 = -4*r. Let x(y) = y**2 + 1. What is the remainder when x(-5) is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69.73042 millennia to centuries.\nAnswer: 697.3042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-11 + (-361)\/(-38))\/((-1)\/2). Solve 5*y - 3*a = -35, -m*y + 3*a - 17 = 2*a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2519007707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**4 - z**2 + 1. Let s(j) = 5*j**4 - 19*j**2 - 3. Let y(a) = 3*o(a) + s(a). Find the third derivative of y(g) wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 1215880?\nAnswer: 3647640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70 (base 10) to base 12.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 300719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.9 - -655724180.82.\nAnswer: 655724189.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -32, -77, -158, -287?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from {r: 2, n: 1, e: 1, p: 2, f: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of -7*l**5\/10 + l**4\/6 + l**3\/6 + 2*l. Let k be y(-1). Suppose -5 = -5*u + k. Solve 5*n + 3 = m + m, -u*m = 2*n + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -256*r**5\/3 - 54176*r**4\/3 - 894340*r**3 + 2022433*r**2\/6 - 126614*r\/3 + 1760 = 0. Calculate r.\nAnswer: -132, -80, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**2 + 364480*x - 394524515.\nAnswer: -5*(x - 71797)*(x - 1099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 f when three letters picked without replacement from afwqk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*s + 44*s - 94*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -763\/146 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/20 and 103\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 - 10. Let a = 311 - 78. Let d = a + -228. Solve -5*z = d*x + 10, x - 6*x = 3*z + n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + 2. Suppose f*h - h - 1325 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.1 + 2. Which is the nearest to i?  (a) -4  (b) -2\/21  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 192*q - 14374. What is t(56)?\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 10:43 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*x**2 + x**2 + 3*x**2)*(1 - 1 - x) + 0*x**3 - 2*x**3 + 3*x**3 - 6*x**3 + 3*x**3 + x**3)*((-2 + 1 - 9)*(1 - 1 + x) + (x - 3*x + 4*x)*(3 - 1 - 1)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 611 in -0.035, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1706 + -1050. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2 + 176*c - 3872.\nAnswer: -2*(c - 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -11 - 25. Let g = l + 20. Let k = 21 + -6. Calculate the remainder when k is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 + 4*g - 1. Let j be n(2). Suppose 2*w + 66 = 5*r + w, -j*r = -w - 38. Suppose -c = -3*c - r. Which is greater: -8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 69923481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5186*q**3 - 4*q - 54895.\nAnswer: -15558*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 (base 8) in base 7?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*w - 70 + 360 = -310 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 1 - 606*c + 1 + 611*c + 3 - c**2 + 2*c**2. Let o(n) = 2*n**2 + 11*n + 9. Calculate 3*o(q) - 5*r(q).\nAnswer: q**2 + 8*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 283 divide 110712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -13815848 >= -13815847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, 1\/3, -0.2, -1, 3\/7, 0, -16 in ascending order.\nAnswer: -16, -1, -0.2, 0, 1\/3, 3\/7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 498 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(12) + (sqrt(21)\/(sqrt(7) + (sqrt(7) - sqrt(7)*-1)))**2.\nAnswer: 2*sqrt(3) + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggggnngggggggnggn. Give prob of picking 2 n.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 126\/(-1386) - (-78)\/374 - (3 - 598\/221).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 + 4*w**2 + 3*w + 13. Let x(o) = 2*o**3 - 9*o**2 - 7*o - 28. Give -5*r(d) - 2*x(d).\nAnswer: d**3 - 2*d**2 - d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1898901409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 4*l**2 + 67*l - 18. Let g be b(-17). Sort 1, 0, g, 10 in descending order.\nAnswer: 10, 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -1109*b. Let o(d) = -999*d**2. Give v(o(f)).\nAnswer: 1107891*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 39  (b) -2  (c) -60912  (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -370.9596 - 0.0404. Let p = -29.43 - -430.83. Let u = l + p. What is u rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -87329.629*-0.5\nAnswer: 43664.8145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25 - -25. Is 10\/11 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*q**5 - 103033*q**4\/2 - 330299*q**3 - 144707*q**2\/2 + 330284*q + 123870 = 0. Calculate q.\nAnswer: -6, -1, -2\/5, 1, 20645\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - 27?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -3, -0.1, 30?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 4*j**3 + 16*j**2 + 16. Suppose -822 + 821 = u. Let f(s) = -s**2 - 1. Calculate u*w(t) - 16*f(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 3200864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1227688 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.12 + -111.88. Let b = 166 + v. Let d = b - 52.99931. What is d rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 1)*(1 + 2 - 2)*(-178 - 21*p + 178)*(5 - 1 + 3).\nAnswer: 294*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 PM and 5:14 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 5*d + 263 - 287 = 0, 0 = -x - 2*d - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/9 - 13*(-22)\/10296?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2610110101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*j**5 + 72*j**4 - 1601*j**2 wrt j.\nAnswer: -540*j**2 + 1728*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 3*z - 2*c, -3*z + 30 - 34 = c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 2:43 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 - 2*u**2. Let m = 5 + -7. Let v(p) = 5*p**3 - 11*p**2 + p. Give m*v(n) + 11*w(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2614514 litres to millilitres.\nAnswer: 261.4514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 3\/218, -3, -2\/5, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11996379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 237 = n + 216, 5*n - o = 63. Solve 86*u = 90*u - n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -n - 12. Solve 2*a + 4*t + 9 = 3, n*a - 3*t = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 350797505 to the nearest integer?\nAnswer: 18730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18288 and 762?\nAnswer: 18288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -193063, -193061, -193057, -193051?\n\"Answer: r**2 - r - 193063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -305376*m**3 + 1006572*m wrt m.\nAnswer: -1832256*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - (2 + -3)*9. Let u(y) = y + 1. What is the units digit of u(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 13*h. Let u(b) = 5*b. What is n(u(d))?\nAnswer: 65*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5c + -8?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156 - 68 = -4*n. Let w be (n\/5)\/(6\/90). Suppose h = 13 + 8. What is the highest common factor of h and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2709)\/231 - -12 - (-114)\/(-55).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of 172*m + 0 + 54\/5*m**2 - 7*m**3 + 8\/5*m**4 + 3\/50*m**5. Suppose s(f) = 0. Calculate f.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 20285425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*g**2 + 3 - 96*g**2 - 2*g**3 + 30*g**2 - 6*g + 4*g in the form h*g + x + u*g**2 + d*g**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 80 - 5. Suppose -5*c + 25 = 4*i, 4*c - 5 - 15 = -i. Suppose 3*b - 7 - 8 = i. Solve b*j + l = -5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.104 and 2535.\nAnswer: 2535.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -9364.861 rounded to the nearest ten?\nAnswer: -9360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nef when three letters picked without replacement from {e: 3, o: 2, i: 1, f: 7, n: 1, t: 4}.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 5*i + 12 - 1 = 0, 11 = 5*o + i. Solve -10 = -o*v, -2*v + 0*v = -2*l - 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/((-10)\/(-2)) - -3. Suppose 5*s - 5 = -b*g, -4*s + g - 25 = -9*s. Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of 8*y**5\/35 - 11*y**4\/14 + 6*y**3\/7 - y**2\/7 - 2*y\/7 + 12. Factor o(w).\nAnswer: 2*(w - 1)**3*(4*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 98, -1, -5.\nAnswer: -12, -5, -1, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40 + 13*i - 40)*(-3 + 2*i + 3) + (9*i - 9*i - 13*i**2)*(-4 + 0 + 2).\nAnswer: 52*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -52.6  (b) 4  (c) -1  (d) 5  (e) -0.6  (f) 226\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 4510657 = -4510663, -2*p - 5*z - 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/((-3)\/12*1). Suppose -l*r + 20 = r. What is the least common multiple of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15 + 610?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ocggcnxxxcngcxnnnxcn. What is prob of sequence ngn?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 656.6?\nAnswer: 656.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9079*o*x - 540*o + 4845945*x + 1 wrt o?\nAnswer: -9079*x - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 3 + (-2*((sqrt(85) - 5*sqrt(85)) + sqrt(85)))\/(sqrt(605)*-3).\nAnswer: -2*sqrt(17)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/49 + -95\/147. Let b = 2.64 + -4.94. What is the second biggest value in b, -1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42 and 1036.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40647 + -40650. Let m(z) = z**2 - 35*z - 4. Let b(g) = -g**2 + 36*g + 3. Give w*b(n) - 2*m(n).\nAnswer: n**2 - 38*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b + -1cb?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1492483\/2935 + -418\/587. Let m = -25379812\/35 + 5079474\/7. Let x = m - k. What is the common denominator of x and -16\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -5*m + 139, -3*d = -6*d + 4*m + 360. Is d\/2 - 2*-1 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 83\/33 - 120466\/47883. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k - 3. What is d(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**2 + 23*o**2 + 4*o**2)*(5 + 67*o - 63*o - 3).\nAnswer: 108*o**3 + 54*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 57040413 to the power of 1\/3, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (957\/(-522)*(-6)\/22)\/((-1)\/26)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 1. Let p(f) = -f - 2. Let n(r) = -4*g(r) - 2*p(r). Suppose z + 2*b + 6 = 0, 3*b + 10 = -2*z + z. Let w(j) = 1 - z*j**2 - 1. Give n(w(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 44600773.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**5 - 2*r**3 + 2*r**3 + (-r + r - r**3)*(2*r**2 - 3 + 3).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + 2*d**2 - 3*d + 3. Let i be t(-3). Suppose 2*q + 2*v = 10, -5*v = 6*q - i*q - 23. Calculate the least common multiple of 3 and q*14*(-3)\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 19, 38, 63, 100, 155, 234, 343, 488?\n\"Answer: s**3 - 3*s**2 + 21*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 286 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4200 and 6450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/124891 and 20\/39.\nAnswer: 374673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001192 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 5509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -467*r + 492*r - 547575 = 0. Is r a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 88 and 23306504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 16*k - 337. Give b(0).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 171380*z + 2 + 171380*z + 2683*z**2.\nAnswer: 2683*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 8.6.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 9 = -3*z, w + 2 = -5*z + 17. Suppose -2*s + 0*r = -4*r - 256, 4*s = -z*r + 534. Suppose -j = 3*j - s. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 58700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5640, 5650, 5660, 5670?\nAnswer: 5680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-7)\/14*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 622 divide 568508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/46264 and 77\/555168.\nAnswer: 555168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d**2. Let t(w) = -12*w + 35. Let f(g) = -17*g + 53. Let h(m) = -5*f(m) + 7*t(m). What is h(x(k))?\nAnswer: 2*k**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 8) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-33)\/45 + ((-12)\/(-100))\/(54\/180). Put c, 0.2, -3\/2, -0.5, -1 in descending order.\nAnswer: 0.2, c, -0.5, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14845687 to the nearest integer?\nAnswer: 3853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 7) + (-25 - (-56 + 18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/2352333 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - -3)\/(14\/21). Let b(o) = -o**2. Let r be b(0). Put v, -4, r in descending order.\nAnswer: v, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 183696 and 206658?\nAnswer: 1653264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 599 - 594. Let l(m) = 0 + 0 + 3*m - m**2. Let f(j) = j**2 - 5*j. Let d(q) = p*l(q) + 3*f(q). Let y(t) = 9*t**2. Give y(d(k)).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2. Let d(n) be the second derivative of -n**4\/12 - n**3\/6 + 9*n. Let f(b) = 3*b**2 + b. Let u(p) = 2*d(p) + 2*f(p). What is u(k(m))?\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {m: 2, j: 1, g: 2, l: 1, b: 2, e: 5}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1076*p - 61278 = -23618 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t - 25 + 1 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -276 - -312. Suppose -42*p = -v*p - 60. Solve 6 = -4*x + p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 11:30 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 343, 3\/8, -55\/28, -2\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10 + 1)*(9 - (-980)\/21). Let d = y - -520. What is the highest common factor of 266 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -6*y**2 + 2*y - 1. Let n be (0 - -2)\/((-1)\/(-2)). Suppose 0 = g + 3*w + 2, -n*g - w + 3 = -0*w. What is f(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6101787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -341, -1379, -3115, -5555, -8705?\nAnswer: -12571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 - 3. Let u be 4\/(-6) + y\/(-6). Let n = 4 + u. Solve n*r + 9 = 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-20)*j**(-25))\/(j**(1\/33)\/(j*(j*j**(1\/3)*j)\/j)) assuming j is positive.\nAnswer: j**(-1376\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12708074 is divided by 15385.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 27285941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of o**3*t*w + 4*o**3*t - 5*o**2*t*w + 5*t + 168*w + 16 wrt w.\nAnswer: o**3*t - 5*o**2*t + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1942541458 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(224)\/sqrt(8)*4 + (sqrt(7) + -2 + 4 - (sqrt(7)*3 + 4)))**2.\nAnswer: -24*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1977549475 to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -384.2 + 384. Let u be 327\/(-109) + -4 + (2 - 4). Which is the closest to u?  (a) r  (b) -2\/11  (c) 0.3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5717 is divided by 152.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -421798 divided by 2414\nAnswer: -210899\/1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 5*q**3 + 3*q**2 - q + 1. Let c be m(2). Suppose -2*v - 1 - c = 0. Let y = v + 74. 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 x(t) = 1267*t**3 - 3*t**2 + 7. Let p(u) = 845*u**3 - 2*u**2 + 5. Let q(l) = -7*p(l) + 5*x(l). Is q(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 22436, 54940, 87444, 119948, 152452, 184956?\n\"Answer: 32504*b - 10068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -116 + a - 168 - 83 + 4 - 181*a**4 with respect to a.\nAnswer: -724*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*c + 9 - 83 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((57 - 24) + -36 - 15) + 89\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.406999819 + -0.407. Round i to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3429 divided by 3.\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r**(-8\/5)*r)))**34 assuming r is positive.\nAnswer: r**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*p**4 + 6*p**3 + 13947*p**2 + 14980483*p wrt p.\nAnswer: -36*p**2 + 36*p + 27894","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7188 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 12. Which is the nearest to -3\/2?  (a) t  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + 1. Calculate the least common multiple of 53 and n.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 2*w = -3*v + 9, -13 = -3*w - 2*v. Solve 0*j - 16 = -w*j - 5*p, -2*j = 4*p - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -6 - -3 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 33*j**2 - j. Let m be b(-1). Suppose 4*p - 4*t - 33 = 27, -5*p + 3*t + 73 = 0. Solve p - m = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1022 (base 3) to base 8.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 8  (b) 17.92775  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32 - 2)\/(-204)*(3\/1 - 0)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i**5\/4 - 45*i**4\/4 - 51*i**3\/4 + 45*i**2\/4 + 12*i = 0.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 9*k - 256. What is the smallest common multiple of 480 and y(29)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21442 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s**3\/2 + 3*s**2\/2 + 3*s\/2 + 1\/2 = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 292*l - 276. Let s(r) = -36*r + 34. Give -2*h(d) - 17*s(d).\nAnswer: 28*d - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6112 (base 7) to base 5\nAnswer: 31431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/5)\/(l**(-5)\/l))\/(l**7*(l*l**(-1))\/l))\/((l*l\/((((l*l**2)\/l)\/l)\/l)*l*l)**14)**(-43) assuming l is positive.\nAnswer: l**(12039\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -4*p**3\/7 + 48*p**2\/7 + 604*p\/7 - 1368\/7 = 0?\nAnswer: -9, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h = 10039 - 62923. Is h\/30 + 12\/270*3 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 302 + -315 - (-5 + 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + -1 + -2)*(-20)\/20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(1216) + 1)*-3*-3 - ((-2 + -2 + sqrt(1216) + -4)**2 + 4).\nAnswer: -1257 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*k**4*z - 2*k**3 + 13*k*z + 1000*z wrt k?\nAnswer: 52*k**3*z - 6*k**2 + 13*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + (-14 - 6 - -8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 10*g - 80. Suppose -16 = 4*q - 4*k, q - 2*k = -2*q - 9. Put g, -5, q in increasing order.\nAnswer: -5, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -127 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 3*j**4 + 6)*(-4*j - 6 + 6 - 2).\nAnswer: 12*j**5 + 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 + 10 + 0 - 0. Calculate the highest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 433431549 and 47448?\nAnswer: 5931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4066915776.\nAnswer: 2, 3, 7, 11, 239, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6087 is divided by 232?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.265 - 0.058. Let o = 0.2157 - i. Round o to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -15*m - 2. Does 27 divide 3*m\/(-6) - -4 - -78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 161350915 or 161350916?\nAnswer: 161350916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 6*d**2 - 1. Let f be s(-1). Suppose -2*i = -3*i - a + 14, -f*i = a - 54. Calculate the smallest common multiple of i and 4 + -6 - 406\/(-7).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 226855 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 PM and 1:58 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3 - 776*b**2 + 32334*b + 104040.\nAnswer: 2*(b - 340)*(b - 51)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 AM and 1:59 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 0)*(-n**3 + 5*n**3 - 3*n**3) + 4*n**3 + 2*n**3 + 0*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 61749 and 486621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/(-1))\/(3\/(-15)). Suppose p - 1 = -5*h, 1 = 4*h - b*h. Suppose -g - p = -4*g. Solve -g*w - 9 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 8*g - 312. What is the greatest common factor of 39 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*j**2*t*v - 4*j**2*v + 3*j**2 - 5*j*t - 10*j + 8*t*v wrt t?\nAnswer: 2*j**2*v - 5*j + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1050 a factor of 764848350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 367.673166 minutes?\nAnswer: 0.0364755125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5, 59, 149, 275, 437, 635, 869?\n\"Answer: 18*g**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 25*w**2. Let p(r) be the third derivative of r**4\/12 + 12*r**2. What is p(q(k))?\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -48*c - 49*c + 103*c - 13086. Calculate the remainder when c is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -256 divided by 32\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 100 = -2*d. Suppose -5*y + d = -5*u, 3*y + 2*u + 3*u = 7. Let v(b) = -b**2 + 4*b. Let t be v(y). Sort -1, t, -5 in ascending order.\nAnswer: -5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**2 + 2*p. Let n be q(-2). Let j = 11 + n. Let u be (6 + 3)\/(24\/32). Which is the nearest to j?  (a) u  (b) -0.5  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 11040769 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(792)*-3)\/((sqrt(11)*-4*1 - sqrt(11))*1).\nAnswer: -36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 13 = p, -p - p + 5*i + 31 = 0. Suppose 9*o - 4*o + 230 = 5*g, -56 = -g + p*o. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-18)*108\/180.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 + 8927?\nAnswer: 8926.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 1\/4, 440.699 in decreasing order.\nAnswer: 440.699, 6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a microgram in nanograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*k - 7*k + 62*k**2 - 10*k**2.\nAnswer: 52*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -234, -238, -244, -252?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 958744 at most -7\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/120 and -35\/552?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -2 + 3*sqrt(2448) + sqrt(2448) + sqrt(2448) + (sqrt(2448) - (sqrt(2448) + -1))*2)**2.\nAnswer: 120*sqrt(17) + 61201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 AM and 2:05 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 + 6*m**2 + 5*m + 3. Suppose -3*o + 2 + 10 = 0. Suppose 2*i = i + o. Is x(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence abad when four letters picked without replacement from ababjaabbaadbadajb.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 y, and 2 n when four letters picked without replacement from adaysnndsadkn.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5425104 - 3?\nAnswer: 5425101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 2*d - 2*d - 25 = 0, 5*b - 4*d - 141 = 0. Is 9 a factor of (b\/(-4))\/(1\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*i**4 - 25*i**2 - 3*i - 5*i**2 - 3*i**3 + 7*i**2 + 6*i**3 wrt i?\nAnswer: 168*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36225 and 840.\nAnswer: 289800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16 + (0 - -1) - 8449425\/503652 and (1\/(-6))\/((-32)\/(-303))?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d = 2*d - 2*d - 4*t, 3*t = d + 9*d - 6*d - 4*t - 26*t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1308 * -0.03\nAnswer: 39.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 211182726\nAnswer: 2\/105591363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 4669  (c) -3  (d) 0.2  (e) 36  (f) -17.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 5*l**5 + 17480*l**4 - 1872565*l**3 - 2029860*l**2 + 14910300*l + 22680000 = 0?\nAnswer: -3600, -2, 3, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 332781314?\nAnswer: 2, 19, 2221, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1561911 and 64518939?\nAnswer: 838746207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + 1\/(68\/16 - 4). Suppose -q*h = -j + 75, -4*j + 346 = j + 4*h. What is the highest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 119*b**2 + 122*b**2 + 120*b**2 - 476*b**2 - 113*b + 116*b**2.\nAnswer: b*(b - 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -4*k**4 - 46*k**3 + 38*k**2 + 13. Let s(i) = -i**4 + i**2 + 2. Let m(c) = -6*s(c) + w(c). What is the third derivative of m(j) wrt j?\nAnswer: 48*j - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25)\/(-5)*-4*2\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 divided by 6.\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6  (b) 2  (c) -121.9  (d) 138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1\/93 + -191\/465. Let l = 14.3 + -13. Let u = l + -0.3. Is u at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 8:52 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c + 24. Give d(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 56\/6*(99\/6 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.04 and 3400820.\nAnswer: 3400820.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11490504, -22981002, -34471498, -45961992, -57452484?\nAnswer: -68942974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 0*p + 6. Suppose 0 = -2*g - 2 + p. Solve g = -5*r - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/664 and 43\/415?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/2)\/((-82)\/238784*112)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -15.2. Let y = s - 3.2. Sort 4, 0.5, y in descending order.\nAnswer: 4, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 9 + 3 + 0*k - 4*k + 2 - 9 - 7*k**2. Let m(o) be the third derivative of -o**5\/3 - 11*o**4\/24 + 7*o**3\/3 - o**2. Determine -17*h(r) + 6*m(r).\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, p: 1, q: 1, h: 1}. Give prob of picking 1 d, 1 q, and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 330974415?\nAnswer: 3, 5, 1153, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 - c**2 - c. Let y(t) = -t**4 - 6*t**3 - 5*t**2 - 6*t. Let g(p) = -6*u(p) + y(p). Solve g(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*(4 - (28\/8 + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 63, -640, -1347, -2058?\nAnswer: -2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/1824 and 1\/336.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 5 = -5*q, f - 2 = 4*f - 2*q. Suppose -30 = -9*s - 3. Solve -s*t - 4 + 1 = f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 684018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -2\/3, 52, 3\/7, 8790, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -639 (base 16) to base 10.\nAnswer: -1593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/13)\/(u\/u**8))\/(u**(1\/2)\/u**2)*((u**(-1)\/u)**(2\/39))**(1\/16) assuming u is positive.\nAnswer: u**(1349\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 6.3. Let f = -260\/1143 - -2\/381. Put m, 1\/3, f in decreasing order.\nAnswer: 1\/3, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -331*o - 8670 + 2381 = 0 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -128035 in 97, -9, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1\/72005 + -57056759\/216015. Let i = t - -264. Let p be (-2)\/(-3)*6\/(-4). Is p at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q**2. Let y(d) be the first derivative of -10*d**3\/3 - 3. Calculate j(y(v)).\nAnswer: 200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 107 - 1342643?\nAnswer: -1342534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1726586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4565)\/(-11) + 1*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20677 is divided by 188.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*u + 38*u - 13*u - 3 to g*u + d and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 411*c*o**4 - 9*c*o**2 + 11*c wrt o.\nAnswer: 9864*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -9. Suppose -4*v - 11 = -5*a + 16, g*v = -5*a. Let o be 0 - -9 - (-1 + 1). Solve -k = -a*k + s - 5, -o = 3*k - s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 8 + 3 = 0. Let x(l) = 2*l + 4. Let j be x(-4). Let k be (j\/16)\/(2\/(-16)). Sort -3, b, k in increasing order.\nAnswer: -3, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (79*b**5 + b**2 - 2*b**2 - 72*b**5)*(-3 + 6 + 33).\nAnswer: 252*b**5 - 36*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 179\/3 - (-12)\/36. Let s = f - 75. Let r be s\/(-12) + 3*(-2)\/(-24). What is the second biggest value in 1\/5, r, -2, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108216914?\nAnswer: 2, 13, 4162189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from aninnnqqyqneyinnnn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 14*m**2 - 1812*m - 1926. Calculate j(130).\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -6652860 and -3.\nAnswer: -6652863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/122435 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 66, 14, -12 in descending order.\nAnswer: 66, 14, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*p - 4*c, p + 17*c = 21*c + 13. Solve -225*v + 226*v = p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f - 1. Let q be ((-26)\/39)\/((-2)\/3). What is y(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2524*f - 7*q + 5 = -2522*f - 8, 14 = 3*f + 5*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30594812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 0, -0.5, -9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -2 + 8. Let u(x) = -2*x**2 + 9*x - 3. Determine u(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 2*u = -10, 2*q = 404*u - 405*u + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 142*q + 7 + 241*q**2 + 249*q**2 + 256*q**2 + 251*q**2 - 996*q**2 in the form y + p*q + c*q**2 and give p.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16762893 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**3 - 48064*t**2 + 304152552*t - 182322749664 = 0. What is t?\nAnswer: 668, 11682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 9:23 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -3 + (1\/7 - (-26520)\/70).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.7?  (a) 1  (b) 1691  (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (1 - -3) - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1 + (2 + 0 + 0)*(0 - 3 + 2) + 0 - 3 + 9)*(40*x + 0*x - 108*x).\nAnswer: -340*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 116452 and 815164?\nAnswer: 815164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of -10*f**2 + 5\/2*f**4 + 37 + 20*f + f**5 - 5*f**3. What is i in j(i) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/11, 0.08, 916.\nAnswer: -6\/11, 0.08, 916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4200 and 2800?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -16407292 rounded to the nearest one thousand?\nAnswer: -16407000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -55*-0.22\nAnswer: 12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3332 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 8 - 4)*(2 - 2 + 3*n**2) - 3*n**2 - 5*n**2 + 5*n**2.\nAnswer: -78*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 1\/1090, -2\/13, 6.694?\nAnswer: 1\/1090","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 0.02756335?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -3*m + 178, 2*m = -0*m - y + 97. Suppose -32*a + m = -29*a. Let k(r) = r**2 - 16*r - 16. What is k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + -3. Let a(i) = -3*i + 5. Let j(s) = 7*s - 9. Let l(o) = 9*a(o) + 4*j(o). List the prime factors of l(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10210*h**3 - 5110*h**3 - 5097*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -23, 0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(3\/14)*m**18*(m*m*m\/(m**(-13)\/m*m)*m*m)**(1\/16) assuming m is positive.\nAnswer: m**(1083\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 24*u**2 + 22*u - 21. Let m be t(-23). Suppose -c = -h + 2 - 0, 1 = -h - m*c. Put h, -0.5, 4, 3 in increasing order.\nAnswer: -0.5, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2123 (base 5) in base 6?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 4*z**2 - z - 3. Let x be g(-3). Let l = x - -128. Suppose -5*w = 4*u - l, -3*u + u + 25 = -5*w. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*g, u + 4*g + 5 = -4. Sort u, 1, -1, 5 in descending order.\nAnswer: 5, 1, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 4 - 4)*(-86*u**2 - 79*u**2 + 937*u**2 + (u**2 - 4 + 4)*(2 - 2 - 1)).\nAnswer: -1542*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -28*h + 1. What is the smallest common multiple of 5 and w(-3)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, c: 3}. Give prob of picking 1 c and 2 d.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + -3 + ((sqrt(68) - sqrt(68)*2) + sqrt(68))**2 + 4 + (-2 + sqrt(68))**2*-6) + -5.\nAnswer: -2170 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-2)*(-13)\/(195\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73, -213, -557, -1195, -2217, -3713, -5773, -8487?\nAnswer: -11945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 500 and 35?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5120 = 12*d - 5156. Solve -12 = j + j + 4*h, -14 = d*j + 4*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 12:36 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 93095811 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/414 and 1\/360?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -91969 - -481884. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61929, 124592, 187255, 249918, 312581?\nAnswer: 375244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7058883 is divided by 1351?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1717349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 - -9. Suppose 0 = 3*u + u + 4*d - 6180, g = -u + 3*d + 1537. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 4*l - 8 - 53, -l - w = -4. Let n be (-2)\/l + (-218)\/(-9). Suppose 0*b = 2*b - n. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 250.958*1.2.\nAnswer: 301.1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23175 divided by -6.\nAnswer: 7725\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 58 and 2726?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1864 to the nearest ten.\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 433318438 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -165 - -197. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8327 and 286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*m - 128*m + 1320 = 0. Solve -7*l + 74 = m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144530404427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38 + -38.0003515. Round t to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 13, d: 6}. What is prob of sequence dqd?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4202 - -4342. Calculate the remainder when 1680 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -173.7 + 1552.\nAnswer: 1378.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 37*g**2\/4 + 981197*g\/4 - 79557\/2 = 0. What is g?\nAnswer: -26519, 6\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 683*l + 1961574 = 1957476 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-8) + 3\/24. Suppose 0 = -i*u + 2*u - 24. Calculate the remainder when 43 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 5  (b) 201  (c) 0.7  (d) 4  (e) -3  (f) -3\/5  (g) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h**2\/19 - 274324260*h\/19 + 9406724953068450\/19 = 0. What is h?\nAnswer: 68581065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0474 + -0.5350878204.\nAnswer: -0.4876878204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 9*b**2 + 5*b. Let j be l(-5). Suppose -4*r + j = 792. Let a = -89 - r. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10*-2*3\/(-12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 16*n**4 + 1472884*n**3 - 6996580*n**2 - 1841200*n = 0.\nAnswer: -92060, -1\/4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1453355\/1281742 + 4\/15631. Find the common denominator of m and 150\/4 + 1\/(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 589*g + 723. What are the prime factors of m(38)?\nAnswer: 5, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13963.2 and -1.\nAnswer: -13963.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*z + 7*z + 34*z + 80*z.\nAnswer: 173*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -19*r - 37. What is y(-5)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1273 + 1663 = 32*h + 312. Suppose 5*c = 390 + 30. Let w = c - h. Are 2 and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -28953, -29315, -29679, -30045?\n\"Answer: -v**2 - 359*v - 28593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -5*8\/(-260) + 112\/(-52) + 7. Solve g*l + 4 = -4*p, 0 = 2*p + 34*l - 39*l - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1811652 (base 9) to base 12.\nAnswer: 409548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 297 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3c50 (base 14) to base 3.\nAnswer: -112121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -12520020 - -828\nAnswer: -12519192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30 + 32. Put q, -5\/4, 3\/4 in descending order.\nAnswer: q, 3\/4, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 4 = -2*r, 4*r = -2*t + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.39 and 0.26065.\nAnswer: 0.1016535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-3)*((-3)\/(-1))\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-4)*q)\/q)**(24\/11)*((q**(2\/5)\/q)\/q)\/(q*(q\/(q\/(q\/q**(-4\/9))))\/q))**9 assuming q is positive.\nAnswer: q**(-5827\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 162, 659, 1490, 2655?\nAnswer: 4154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(1\/9))\/((((((f\/(f**(-4)*f)*f)\/f)\/f)\/f)\/f)\/f*f))\/(f\/(f\/(((f**(-1)\/f)\/f)\/f)))**35 assuming f is positive.\nAnswer: f**(1261\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - (-7 + 2) - 9) + (-97 - -59) + 135?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4  (b) 0.8  (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (570\/380)\/(6\/208) is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*k - 44 + 34 + 10.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -78*b**3 - 8*b**2 - 16*b - 3. Let i be q(-1). Solve -64*y = -i*y - 38 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3778987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 5 - 0. Let f(l) = -11*l**2 - 1. Let u be f(b). Let i be u\/(-91) - 6\/21. Which is bigger: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1277.6541 months to years.\nAnswer: 106.471175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/9 or -0.045?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 92925835 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 993499.8 minutes in microseconds?\nAnswer: 59609988000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + h = 5, 0*v - 4*v + 5*h + 31 = 0. What is the units digit of 37 - (0 + (v - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 + 1788*r**2 - 2827*r - 1856986. Give o(-1789).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and 15544.\nAnswer: -4663.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (350\/(-42) + 8)*0. Solve 3*y + 9 = -t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 311579 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 4*u + 2. Let t be (-1)\/4 + (-63)\/(-28). Let i be (1*t)\/(-9 - -10). What are the prime factors of h(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - 2) + -5 - 6 - (60 - 2).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 11 + -3 + 2 + -1. Let j be ((-30)\/k)\/((-12)\/198). Suppose 0 = -0*g - 5*g - j. Are g and -11 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49415593 to the power of 1\/2, to the nearest integer?\nAnswer: 7030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(37\/(16058\/28)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 5*p = 39, -q - 52*p + 56*p - 1 = 0. Calculate the remainder when 1123 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, 243, 5, 3, 31 in decreasing order.\nAnswer: 243, 31, 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2*w**3 - 71*w**2 - 31*w + 140. Let m be v(-35). Solve -1 = c - m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 82*o. Let z(s) = -67*s**2 + 906. Calculate t(z(j)).\nAnswer: -5494*j**2 + 74292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -3*h - h + 0*h. Let i(o) = 4*o**2 - 6*o + 6. Let g(f) = -9*f**2 + 13*f - 13. Let d(b) = -6*g(b) - 13*i(b). What is d(x(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2872237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2*f = -c + 35, -c - 4*f = 0. Suppose 58 + c = o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19729 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 48847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**15)**(-42) assuming l is positive.\nAnswer: l**(-630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1245299\/60 - -20755. Let u(m) be the third derivative of -y*m**5 + 0*m**4 + 0*m - 18*m**2 + 0 + 19\/3*m**3. Differentiate u(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-16)\/(-32))\/((-1)\/(-2)). Let s(g) be the third derivative of g**5\/60 - g**4\/3 + g**3\/6 + 3*g**2. Let t(k) = -k. Give h*s(j) - 6*t(j).\nAnswer: j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jdwdwmwmwjmwj. Give prob of picking 2 m and 1 w.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -139 (base 10) in base 14?\nAnswer: -9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 3*n - 3*w, -21*n - 15 = 2*w + 1 + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6062419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 3*q**3 - 117*q**2 + 225*q + 20625 = 0.\nAnswer: -11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 204 - 22. Suppose 2*u + 5*p + 260 = 5*u, -2*u - p + k = 0. Calculate the greatest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2207 - -1940.7. Let k = l + 231. Round k to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 238\/19992*42\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1190\/15 - (-11 - 47\/(2538\/(-720)))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 7058 = x + 2*g, 3*x - 5*g - 10579 = 0. Let d be -1 + x\/11 - 0. Let o = d - 320. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b + t = 16*b + 9, 5*b + 4*t - 30 = 0. Sort b, -0.2, -2\/3 in decreasing order.\nAnswer: b, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -35*v - 52*v + 67*v + (-v - 2*v + v)*(-1 + 2 - 3) + (57*v + 31*v - 17*v)*(-3 + 4 - 2 + (-1 + 1 - 1)*(2 + 2 - 6) + 1 + 3 - 2).\nAnswer: 197*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 8*x**2 + x. Let k(j) = j**2 - 4*j - 61. Let l be k(-6). Suppose 3*q = -q - 2*p + 204, p = 4*q - 198. Let w be q\/60 - l\/6. Determine g(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21521, 43051, 64581, 86111, 107641, 129171?\nAnswer: 150701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of -b**7\/630 - b**6\/120 - b**5\/60 - b**4\/72 - 11*b**2\/2 + 13. Let m(c) be the second derivative of i(c). Factor m(q).\nAnswer: -q*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 5:54 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*c**2 - 19*c**2 - 3 + 31*c**2 + 3.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.26604 - 1.296. Let a = r + 0.03. Round a to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 39*u**2 + 21\/2*u**3 - 12*u + 0.\nAnswer: 3*u*(u + 4)*(7*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 AM and 9:27 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*z + 180 = -38*z. Let w be 2*z\/(-288) - (-2)\/8. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l - 2. Let g(r) be the third derivative of -r**4\/24 - r**3\/3 - 14*r**2 - r. What is 6*g(b) - 5*v(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(1\/(-3) - (-100)\/120).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + 2 - 2 + (-1 + 0 + 0)*(0*q + 0*q + 2*q) + q - 2*q - q - 2*q - 2 + 2 + 163*q + 19*q + 269*q)*(-q**2 + 5*q**2 - 3*q**2).\nAnswer: 446*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.319 - -20.319. What is the smallest value in -1, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -15 - (72 + -65).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1229 + -1211. What is the remainder when 88 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = -2*y + 3, -5*y + r + 1095125 - 1095135 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 3*b**5\/4 + 1012371*b**4\/4 + 2530881*b**3\/2 - 1518558*b**2 - 8098824*b + 8098848 = 0?\nAnswer: -337452, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9537*v - 3172 = 9659*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7697 - 7698. What is the closest to v in -1.8, -3.8, 0?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 111904667 to the nearest integer?\nAnswer: 10579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -4*c**2 - 1. Let r(d) = 1. Let x = 288 - 289. Give x*g(v) - 2*r(v).\nAnswer: 4*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1552)\/(-25) - ((-12)\/6 + 1). Let t = d + -63. What is the nearest to t in -0.4, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/7))**(-43)*(d*d\/(d**(-2)*d)*d)\/(d\/(d\/((d*d\/d**4)\/d))))**(-29) assuming d is positive.\nAnswer: d**(-3915\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 1 = -8, 0 = -5*k + 5*h - 15. Suppose -3*c = -k*c + 33. Let j = c - -11. Let n(f) = -f**3 - f**2 + f - 2. Give n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1368839 to four dps.\nAnswer: -0.1369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1782*t + 1782*t - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 - 6. Let j = v + -9.7. Which is the closest to 0?  (a) j  (b) 1\/7  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of -3*b**4\/8 - b**3\/6 + b**2 - 12*b. What is the remainder when d(-7) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and 669?\nAnswer: 4683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(468) - (sqrt(468) + sqrt(468) + sqrt(468)*-2)) + (sqrt(208) + (sqrt(208) - (-2 + sqrt(208) + -2) - sqrt(208)) - sqrt(208))**2 + 1.\nAnswer: -26*sqrt(13) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.08, 3, -5\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000111110 (base 2) in base 13?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 36655561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -769*i - 2*i**4 + 42*i**3 + 6*i**2 - 21*i**3 - 270 + 4787 + 769*i wrt i?\nAnswer: -8*i**3 + 63*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42*2350136.\nAnswer: -98705712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(1\/3)\/r*r**(1\/11))**(-12) assuming r is positive.\nAnswer: r**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -2 + 3 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 1538*a - 1545*a. Let f be (-5)\/(-20)*(-16)\/(-2). Solve 0 = a*x + 2*h + 2, f*x + 3*h + 8 = -h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 213, 845, 1897, 3369, 5261, 7573, 10305?\nAnswer: 13457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 214 - 453.3. Let d = k + 239. Which is the smallest value?  (a) d  (b) -0.02  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -105 (base 14) to base 4\nAnswer: -3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 2.352 and -24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 117*d**4 - 2*d - 12?\nAnswer: 1404*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-15)\/(-6))\/(3 + (-250)\/84). Suppose -n*r + 111*r - 36 = 0. Let p(t) = -9*t**2 + 4*t + 6. Let a(z) = 8*z**2 - 3*z - 5. Determine r*a(s) + 5*p(s).\nAnswer: 3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 824.7 + -821.7. Which is the fourth smallest value?  (a) 0.3  (b) -6  (c) 17  (d) t  (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, b: 1, n: 1, l: 2, q: 2}. What is prob of sequence bqqe?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 236 - -1504. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 5*r + 6. Let q = -22 - -12. Let v = q - -6. Which is the closest to 1?  (a) v  (b) 2\/3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + s + 2. Suppose -4*x - 10 = 3*d - d, 25 = 4*x - 5*d. What is the remainder when 4 is divided by k(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7)*-1 + -3)**2 - (2 + (sqrt(7)*-2)**2 + sqrt(7))) + -2 + ((sqrt(700) - (sqrt(700) + (sqrt(700) - (sqrt(700) + -3 + sqrt(700))*5))) + -2)**2.\nAnswer: -3055*sqrt(7) + 56973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 + 8*n**2 - n - 4. Let z be g(-8). Let o(y) = -2*y**2 - z*y + 3*y**2 + y + 3*y**2 - 2. What is the units digit of o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000 - 10110011001111000101?\nAnswer: -10110011001110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*v = 4*g + 58*v + 22, -g - v = 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 81 + -42. Let p = -25 + c. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -5*l**2 + 1. Let x(j) = -108*j**2 + 22. Let n(o) = -44*m(o) + 2*x(o). Let i(a) = 621*a**2. Give i(n(c)).\nAnswer: 9936*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 5 - 7. Let h(t) be the second derivative of -1\/12*t**4 - 7*t**2 - 42*t - 1 + 7\/3*t**3. What is h(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 4)*(189*r**3 + 59 - 59) + (0 - 5 + 4)*(-2*r**3 - 3*r**3 + 3*r**3) + 0*r**3 + 3*r**3 - r**3 - 2*r.\nAnswer: -185*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 868295.3 years to months.\nAnswer: 10419543.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25.4 + -3.4. Let s = -66 - -86. Let j = s - m. Which is greater: j or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/15, 0.3, -1.5, 26, -1\/4, -3.\nAnswer: -3, -1.5, -1\/4, 1\/15, 0.3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-6 - ((12 - (39 + -13)) + 0))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2. Let i(u) = 3*u**3 - 3*u**2 - 2*u + 4. Suppose -15*g = 44*g + 64*g + 246. What is g*h(n) - i(n)?\nAnswer: -3*n**3 + n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5 + 103 = -2*w, w = 5*u - 66. Suppose -f = -c - 6, 0 = f + 3*f. Let t = c - w. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -7*m**2 + 2*m - 2. Let q(l) be the third derivative of 17*l**5\/30 - 11*l**4\/24 + 11*l**3\/6 + 25*l**2 + l. Give 11*j(p) + 2*q(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-351)\/108)\/(0 + (-2)\/272). Let r = -440 + l. Solve 0 = r*w + 4*i + 6, 0 = w + w - i - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 52\/91 - (-12)\/(-21). Suppose 5*j + w*b - 5*b = 0, -5*j + b + 4 = 0. Let h = -4 + 5. What is the closest to h in 0.1, j, 41?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 28*i**2 - 3 - 127895*i + 127900*i + 3.\nAnswer: -28*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 361*x + 5775. What is the remainder when y(12) is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*p**3 - 1868745*p**2 + 174609459375*p + 174611328125 = 0. Calculate p.\nAnswer: -1, 186875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5787860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2424 - 19329\/8. Calculate the common denominator of o and (-1)\/(-97)*(1 + (-55)\/(-10)).\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, a: 7, o: 6}. Give prob of picking 1 o and 2 a.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3235074 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, o: 1, x: 4, e: 1}. What is prob of picking 1 e and 1 x?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.437 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -4.2. Is 6 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3271.\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1654.\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6\/(-15))\/((-2)\/5). Let d be (1\/(-6))\/(o\/(-3)). Put d, 2, -1 in descending order.\nAnswer: 2, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*d - 16, 0 = -3*v - 3*d + 10 - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24*3\/(-3)*11\/462*21?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/1608 and -71\/7236?\nAnswer: 14472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1480579*b**2*m**3 + 10*b**2*m**2 + 76916*b**2*m wrt m?\nAnswer: -8883474*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -29844 times 2?\nAnswer: -59688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from vowia?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 244281 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 34840 and 6624960?\nAnswer: 86124480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-19\/3)\/f*f**13 assuming f is positive.\nAnswer: f**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the third derivative of 17*q**7\/70 - q**3\/6 + 21*q**2 - 1. What is the first derivative of i(z) wrt z?\nAnswer: 204*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**3)\/o)\/(o**(-9)\/o)*(o\/(o\/o**10*o))\/o**18 assuming o is positive.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -60*t**4 + 3*t**3 - 23*t**2 + 4. Let c(d) = 121*d**4 - 5*d**3 + 43*d**2 - 7. Let u(q) = 3*c(q) + 5*v(q). Find the third derivative of u(m) wrt m.\nAnswer: 1512*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4\/111 - -62\/333. Let r = 2 - 4. Sort 3, r, s in descending order.\nAnswer: 3, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1311\/2, 0, -2\/5, 2\/7, -0.5 in decreasing order.\nAnswer: 1311\/2, 2\/7, 0, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -110*v + 30273. Let m(q) = -14*q. Give l(m(g)).\nAnswer: 1540*g + 30273","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29 + 34*v + 95 - 61*v + 26*v - 150*v**5 wrt v?\nAnswer: -3000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 + 343*r**2 + 356*r - 7. Let f(b) = 2*b - 1. Let o(k) = 7*f(k) - t(k). What is a in o(a) = 0?\nAnswer: -342, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d**3 + 21*d**2 + 40*d - 134. Calculate t(10).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/2 - -1*1. Suppose 0*o + 9 = h*o. Is 6 a factor of (-36)\/8*(-8)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 5*d - 2)*(-d**2 + 3*d**2 - 4*d**2)*(-3 + 2 + 2).\nAnswer: -10*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 6510729972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 50*f + 158 - 1980 - 678. Solve -5*d + 0*a = 5*a - f, a = -5*d + 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-12)*3\/(-3)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/25)\/((-435)\/50).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - 4*c**2 + 2*c - 9. Calculate n(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l. Let i = 10 + -6. Let k(m) = m**2 - 2*m - 4. Let h be k(i). Let u(q) = h*q + 6*q - 5*q. Determine u(y(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1)*c)**(-8\/9)\/(c\/(c**1*c)*c)**(3\/10) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 - 2*j - 3. Let t be i(5). Let h = 10 - 18. Let v = h + t. Solve -2*z + 0*z - v = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - -4) + 0 + 1. Suppose -4*d + 4 = 0, s*n = -3*d + 4 + 14. Suppose 2*j + n*u - 18 = 4*u, j - 9 = 4*u. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 200979352?\nAnswer: 2, 7, 3588917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 - 7*c - 2. Let v be t(-6). Solve 25 - 2 = 3*g - v*l, 5*g - 25 = 4*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 - 11*h + 20. Let m be d(3). Let u be (2\/5 + 22\/(-55))\/m. Solve u = -3*y - x + 7, 2*x - 4*x = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*-18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*v**2\/7 + 40*v\/7 - 8\/7 = 0 for v.\nAnswer: -2, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -42 * -0.046.\nAnswer: 1.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 2*s - 13, 5*s + 4*h + 13 = 53. Suppose -s*b + 28 = 4*i, -5*b = -3*i + i. Solve -t - t - b = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -34*j**2 - 81*j. Let a(s) = 41*s**2 + 81*s. Determine 5*a(b) + 6*g(b).\nAnswer: b**2 - 81*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-279)\/93)\/(3*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 75760 and 2755.\nAnswer: 41743760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 24*k**2 - 18*k + 9. List the prime factors of o(23).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -0.44, -0.1, -3, -2, -4\/5.\nAnswer: -3, -2, -4\/5, -0.44, -0.1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2014204923 to the nearest integer?\nAnswer: 44880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p, 1 l, and 1 i when four letters picked without replacement from {l: 5, p: 3, i: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - c + 16 = 0, 24*s = 22*s + 5*c + 22. Suppose -199 = 5*d - s*d - t, -2*t = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*3515.\nAnswer: -17575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 963 and 6206.\nAnswer: 55854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.128111071 + -1553.\nAnswer: -1552.871888929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/5 - 34\/(-5). Let s be 15\/10 + (21\/30 - 2). Which is the third smallest value?  (a) -1\/6  (b) q  (c) -4\/5  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/8, -0.03, -3, -3\/10, 3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y*y\/(y\/y**10*y)*y\/y**(-1\/3))\/(y\/y**(-10)*y**2))**(-12))**32 assuming y is positive.\nAnswer: y**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 960 and 11219840?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t + 134. Let o(s) = -135. Give -2*n(m) - 3*o(m).\nAnswer: -2*m + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 11. Suppose h*j + a = -2*j + 17, -j + 5*a - 19 = 0. Suppose -j*y + 5*y = -13. What is the greatest common factor of 52 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*s + 163 = 47 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 29*i - 751. Let v be r(26). Suppose 0 = -3*q - 2*q + 5. Suppose 9 - q = 4*p, -3*l - 3*p = -18. Solve -5*n = -k + 21, -n - 3*k + v = -l*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (16\/(-20) + 0)\/(4\/(-10)). What is the third derivative of 1 + 19*c**2 - 310*c**4 + 373*c**4 + 0*c**j wrt c?\nAnswer: 1512*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3700473850 rounded to the nearest 1000000?\nAnswer: -3700000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**2\/2 + 27526*j + 378840338 = 0. Calculate j.\nAnswer: -27526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/13, 35\/4, -5, 5\/6, 43?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - 6615030?\nAnswer: -6615031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3\/26 - -18\/13. Let o be 2 + -1*(2 + 3). Let s be (-8)\/5*o\/(-12). Put s, z, 3 in ascending order.\nAnswer: s, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o - 4. Let i be m(0). Which is smaller: i or -13\/3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n*n*n\/(n\/n**4)*n*n)))\/n)**(-36)\/(n\/(n\/n**(-1\/4)))**(-3\/5) assuming n is positive.\nAnswer: n**(-5043\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4580, 4574, 4564, 4550, 4532, 4510?\nAnswer: 4484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**3 + 0*m**3 - 2*m**3)*(-2*m - 3*m**2 + 2*m + (-m**2 - 1 + 1)*(-4 + 3 + 3)).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 125684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 6:15 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 518 divide 3151722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -575433*k*o**5 - 25*k*o**4 + 7484*k*o**2 - 2*k - 2*o**2 - 2*o + 1541 wrt o.\nAnswer: -34525980*k*o**2 - 600*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from aarmprrrwqarq.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 33\/12 - 3\/(-12). Suppose -z = w*o, 0 = -o + 6*o + 2*z. List the prime factors of (-21 + o)\/(3\/(-2)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -102949*c - 102879*c - 100 + 205877*c + (0 - 1 + 0)*(2*c - 3*c + 0*c) to x*c + a and give a.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 - 33*j + 73. Let b be o(-13). What is the greatest common divisor of 259 and b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -149369 divided by 13579\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k + 12 + 2*k - 3*k + 2*k - 4*k + k + (-k + 3*k - 4*k)*(1 + 2 - 2).\nAnswer: -k + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 1)*(-y**3 + y**3 + 2*y**5) - 3*y**5 - 4*y**4 + 4*y**4 + (-3*y**3 + 3*y**3 + y**5)*(-7 + 3 - 1).\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1541, -2128, -2737, -3380, -4069, -4816?\n\"Answer: -2*x**3 + x**2 - 576*x - 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 5*j**2 + 366*j + 4228. Give b(-57).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (45*c + 79*c + 92*c)*(-18 + 17 + 2*c + 13).\nAnswer: 432*c**2 + 2592*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -61 - -61.2. Let m = 3 + -3. Suppose m = -0*f + f. Which is the biggest value?  (a) t  (b) 1  (c) -1  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 37.5771 + -37.6. Let c = 4.5229 + r. What is the nearest to -0.2 in 2, 3\/7, c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100649?\nAnswer: 100649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 5*z + z**2 + 0 + 5 - 3. Let h be w(-11). Suppose -18 = 5*n - h. Calculate the least common multiple of 6 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21613269.\nAnswer: 3, 7204423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, -136623, -3 in decreasing order.\nAnswer: 40, -3, -136623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + ((-7 - -5) + 11 - (6 - 4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 144 = -14*z + 9*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 165976930 divided by -33195386.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 14, 48, 63, 2 in decreasing order.\nAnswer: 63, 48, 14, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -14690*r - 2. Give i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, -0.2, 0, -1\/89896 in descending order.\nAnswer: 4, 1, 0, -1\/89896, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from rbrbs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 - 11*r - 9. Suppose 2*h + 13 = 19. Suppose 48 = k + h*k. What is the units digit of q(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -21?  (a) -2  (b) 0.05  (c) 42  (d) 1  (e) -3\/8  (f) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20*((-60)\/10)\/(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11487 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1109203572 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of -3*o**6\/10 - 7*o**3\/6 - 6*o + 3. Let z(l) be the first derivative of w(l). What is the second derivative of z(u) wrt u?\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(77) - (sqrt(77) - 1*sqrt(77))) - sqrt(77))\/sqrt(7))**2 - (sqrt(1584)*1 - (sqrt(66)*-1)\/sqrt(6))**2.\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 550257 divided by 183419?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.8, -5, -1 in decreasing order.\nAnswer: 1.8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -246956 * -0.8.\nAnswer: 197564.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 234 * 7.\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 + 12 = 13*j. Suppose -28 = -4*y - 5*x + x, -2*x = -5*y. Solve 6 = 2*c - 7*c - y*b, j*c - 4*b + 14 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 - 3940*j**2 + 39498*j - 45. Give u(10).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/(1 - -1)*(-11)\/(-4). Suppose 9*u + 6 = y*u. Find the second derivative of 608*g + 37*g**u + g**2 - g**2 - 602*g wrt g.\nAnswer: 222*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**11*(q\/(q*(q\/(q*q**8))\/q)*q)\/q)**(2\/31) assuming q is positive.\nAnswer: q**(40\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**6\/(c*c*c**6*c))\/(c**(1\/2))**(-11\/2))\/((c\/c**1)**(-28)*(c*(c**(-3)\/c)\/c*c)\/c**(-2\/3)) assuming c is positive.\nAnswer: c**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -703, -2882, -6681, -12238, -19691, -29178, -40837, -54806?\n\"Answer: -23*b**3 - 672*b**2 - 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i - 3*i + i**2 + 15 + i. Let j be q(0). Let p be 1\/5*-3*-5. Solve p*d - j = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3701029 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 702 + -2041\/3. Which is the closest to -0.7?  (a) n  (b) -1\/2  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.07 and -0.64?\nAnswer: -0.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*x**2 + 4*x**2 - 5*x**3)*(-6*x + 3 - 4*x + 2*x) to i*x**3 + o*x + t + v*x**2 + a*x**4 and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.9 from 123468809713274.\nAnswer: 123468809713273.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11.015 - -11. Let g = m - -0.215. What is the nearest to -0.1 in g, 0.03, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.7 + 12.5. Let h = 612\/5 + -122. Suppose -5*j + 1 = -4. Which is the third biggest value?  (a) h  (b) j  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -315 + 314.489. Let c = 0.011 + p. Put -5, c, 1\/17 in increasing order.\nAnswer: -5, c, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 37524\nAnswer: 1\/18762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 55\/7*(-70623)\/(-16815).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of (918 + 5 + -23)*(-32)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 > 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 16058240 to the power of 1\/2, to the nearest integer?\nAnswer: 4007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48*p**5 - 62*p**5 + 99*p**5)*(-2 + 1 + 0).\nAnswer: 11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 234*n + 2254 = 73*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -18*c**2 - 2597*c - 28521. Calculate q(-11).\nAnswer: -2132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40686 and 74591?\nAnswer: 447546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19674, -39350, -59026, -78702, -98378?\nAnswer: -118054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(88)\/(-2*sqrt(8)) - ((sqrt(99)*2)\/sqrt(9) + 4)**2.\nAnswer: -64 - 33*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5404520 and 170400.\nAnswer: 324271200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -66, -1, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/(-18) - 235\/(-45). Is (-2 + x + -166)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6758 is divided by 246.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3053216759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1542.22 to the nearest integer.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -322*-5\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.023 - 4.977. Which is the nearest to 0?  (a) 0.3  (b) s  (c) -46  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {l: 1, m: 1, r: 2, o: 1, t: 5}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t - 19. Let z be s(-13). Let a = -2 + z. Let l = -1.8 - 0.2. Sort a, 2, l in decreasing order.\nAnswer: a, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -7 + -4 + 7 - 8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-5)\/n**(-2\/25)*n**(2\/25)*n\/(n**(-2)*n))**17)**(13\/3) assuming n is positive.\nAnswer: n**(-15691\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2212 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1, 10, 31, 70, 133, 226, 355?\n\"Answer: n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-861)\/(-9)*96*(-11)\/(-2464).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100010010111011 (base 2) to base 13.\nAnswer: -8016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m - 3 - 17 = 0. Let l(c) = 8*c**m + 0*c**2 - 8*c**2 + 4*c**2. Let u(a) = -6*a**2. Give u(l(z)).\nAnswer: -96*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20613*c = 21659*c + 60668 for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*i + 129*i = 1036*i - 848 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -21\/19 in 4034, -1\/7, -16?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 PM and 8:28 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 + 24*y + 70. Let p be m(-19). Let z(c) = -c**3 - 24*c**2 + 23*c - 41. Let u be z(p). Calculate the highest common divisor of 4 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 23*g + 125. Let y be h(-14). Let m = 983 + y. List the prime factors of m.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -2119.\nAnswer: 4238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7506, 14531, 21074, 27129, 32690, 37751, 42306, 46349?\nAnswer: 49874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x + 4. Let f be q(5). Which is the nearest to f?  (a) 5\/4  (b) 4  (c) -20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6856763.\nAnswer: 17, 403339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, 7, -7718, 5, -4 in increasing order.\nAnswer: -7718, -4, -3, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7176187 + 7176189.2000065. Let x = -2.2 + r. What is x rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 31 + 5 + -14 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -27 + 0. Let x = -25 - n. Solve -5*q + 35 = -2*i - 3*i, 0 = -2*q - x*i + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 126*s + 23. Suppose 202 = 6*p + 4. Suppose d + 2*d - p = 0. Is f(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/387094 and 3\/83696.\nAnswer: 3096752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14419 + 14439. Let k(t) = t**3 - 5*t**2 + 2*t - 9. What is the remainder when k(6) is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 1 = 2*g. Suppose g = -i + 11. Calculate the remainder when i is divided by (-2)\/(2*(-2)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 3*q**2 + 5*q + 4. Let s(z) = z**2 - 4*z - 7. Let g be s(5). Let v be x(g). Let d be 4\/v*(3 + 3). Solve -d*i - 6 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4102201.\nAnswer: 397, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*y = -1532 - 8175. Let h = y - -576. Solve -4*s - h = c - 30, -5*s = 3*c - 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6950469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10510*h*s**2 + 49943*s**2 + 2 wrt h.\nAnswer: 10510*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11875479*l**2 - 6540737*l?\nAnswer: -23750958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(2\/37)*r*r*r**(-3)\/r*r assuming r is positive.\nAnswer: r**(-35\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t + 7. Suppose 4*i - 9*i - 15 = 0. Is l(i) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -423 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - m**2 + m + 112. Let z be g(0). Suppose 12*i = -352 + z. Put 2, i, 4 in descending order.\nAnswer: 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from {o: 16, z: 4}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j**3 + 15*j**3 - 3*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 97 = 74*a - 81*a, -56 = t + 4*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1987 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 38 + -52 - (-15 - 1) - (5 - (4 + 65))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wlakyyallarww. Give prob of picking 2 a and 1 y.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 234 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(100)\/(sqrt(2)*-3))\/(3*sqrt(250) - sqrt(250) - sqrt(10))*-2.\nAnswer: 2*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 6 = 3*z. Let s be z\/21 + 6\/(-21). Suppose -4*g - g + 45 = s. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0.3  (b) 1  (c) -2  (d) -5  (e) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + j - 12, 0*j = -2*f - 4*j + 18. Suppose -k - 1629 = -4*c, -1061 - 982 = -f*c - k. Calculate the highest common divisor of 24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2 = -2*t, -3*t + 0 = 3. Suppose m = -4*o + 2*o + 20. Calculate the greatest common divisor of 70 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/20741454 and 101\/1536404.\nAnswer: 41482908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -4*d - 13, -3*n + 6 = -2*d - 3. Suppose d = -w + 26. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k - 7. Let g(b) = 3*b - 14. Let i(x) = 4*g(x) - 7*l(x). Let r(v) = v + 3. Let j(s) = 3*i(s) + 7*r(s). Let w(p) = -7*p. Give w(j(c)).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**1)**(2\/17)*(a*a**(3\/4))\/(a*a**(4\/9)))\/((a*a**(-2))**25)**23 assuming a is positive.\nAnswer: a**(352231\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f - 63 = 3*f. Let u(g) = g**2 - 7*g - 20. Let w be u(f). Let x be 3\/2 + (-5)\/w. Solve -8 = -4*o - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3280 and 101120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14982 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 4*i = -1144, -4*i - 13 = 7. Let p = -277 - g. Solve 2*m + n = 0, -p*m + m + n = -10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5000)*-1)\/(sqrt(80)\/sqrt(200)).\nAnswer: -50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66655287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (2*(sqrt(5) - sqrt(20)\/sqrt(4))*-3 - (sqrt(1000) + sqrt(1000)*2)\/sqrt(2)).\nAnswer: -30*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 15 + 45 = 3*d, -y + 38 = 3*d. What is the remainder when 33 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 958 - 957.8. What is the closest to 5 in -0.03, 3, a, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24768?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 255, 360, 461, 564, 675, 800, 945, 1116?\n\"Answer: j**3 - 8*j**2 + 122*j + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 - 8*g**2 - g + 9. Let a = -14 - -22. Let b be d(a). What is the closest to b in -1\/8, -0.5, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {e: 1, f: 2, d: 1, h: 5, u: 6}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7a10 + -43?\nAnswer: -7a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 r, and 1 x when three letters picked without replacement from roohwwoxwwwwo?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/75 and 99\/620?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5021355 is divided by 3475?\nAnswer: 3455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of 41*u**5\/60 - u**2 + 50*u. Let n(v) = -5*v - 3. Let o(d) = -8*d - 5. Let c(f) = -5*n(f) + 3*o(f). What is c(y(h))?\nAnswer: 41*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16.9999995 + 17. What is d rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 8*j + 216. Calculate the remainder when j is divided by (4\/30*5)\/(10\/285).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*w**2 - w**2 - 2*w**2)*(-w + w - 3*w) to b*w**2 + h*w**3 + r*w + g and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 84.0206 + -84. Let i = w + -0.012. Round i to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of z**4\/6 - z**3\/6 - 2*z**2. Let v be b(1). Find the third derivative of -3*x - 2*x**4 - v*x**2 + 3*x wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8960*q**2 - 13817*q**2 + 7551*q**2)*(-5*q**3 + 3*q**3 + q**3).\nAnswer: -2694*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - v = 25959, -15*z + 10*z - 5*v = -43285. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.76?  (a) -1  (b) -1397  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 + -0.2. Let a = 1.4 + x. Is a less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94570.9 decades to years.\nAnswer: 945709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -0.6. Let p = 72862 + -72861.7. What is the second smallest value in -2\/23, i, p, 2\/5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + -3229a705?\nAnswer: -3229a709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (-90)\/12) + (-9153)\/162?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1595, 6376, 14345, 25502, 39847?\n\"Answer: 1594*h**2 - h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 8 + 8)*(1 - 4*q + 2*q + 1).\nAnswer: -14*q + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -588 - -2347\/4. Let p = -4 + 8. What is the second biggest value in 1, 0.4, p, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of -1\/15*z**5 - 1\/3*z**3 - 3*z**2 + 1\/12*z**4 + 0 + 0*z. Suppose -5*p + 4 = -2*b, 4*p - 2*b + 7*b - 23 = 0. Determine l(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f = 10*f - 6. Calculate the highest common divisor of 54 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -7680*k + 330243. What is i(43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2.7208 or -12\/121?\nAnswer: -12\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/5)\/z)**(-37)\/((z*z**(-1\/4)*z)\/(z\/((z*z*z\/(z\/(z\/(z\/(z**(6\/5)*z))*z*z)))\/z)*z)) assuming z is positive.\nAnswer: z**(937\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -9*h + 10*h, 2*p = -3*h + 30. What is the closest to 1 in 0.05, -0.02, p?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 - 4*b**2 - 16*b + 7. Give c(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-8)\/(-3))\/(-4)*-48. Let h be (-6)\/(-15)*(-3 - u). Let m(y) be the second derivative of y**5\/5 - 2*y + 39. Let q(r) = 20*r**3. Give h*m(l) + 3*q(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -460*c + 185*c + 6863 + 3312 = 0 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.04905 - -0.04905. What is the third smallest value in 0.41, 7\/4, b?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 31 = 2*r, 3*u - 22 = 2*r + 3. Suppose 30 = u*o + 9. Solve -24*w + o = -25*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-3))**(1\/15) assuming n is positive.\nAnswer: n**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20199430 is divided by 1321.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 8609437 to the nearest 10000.\nAnswer: 8610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 2. Let o be (558\/(-135))\/(-31)*-15. Put -63, o, z in increasing order.\nAnswer: -63, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 5*o**2 - 5*o - 3. Let p = -76 + 74. Let r be (3*p)\/(-1*12\/8). What is z(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74455284 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - u)*(u + 3 - 3) + 3*u - 3*u - 4*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(21)\/sqrt(3))*1 - (-3 + sqrt(7)*1 - -1*2*sqrt(7))) + -2 + 2.\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -46405262 by 493673.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 101831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-1 + -3 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8046*l = -8446*l - 7600 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.192 + 1.3. Let g = -0.008 + k. Which is the fourth smallest value?  (a) g  (b) 3\/2  (c) 1.4  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2141304 (base 7) to base 11.\nAnswer: 169aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h**3 + 45*h**2 + 9*h - 17. Let q be k(-11). Which is bigger: q or 252\/59?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**5 - 1587*p - 1714*p**3 + 3312*p**2 + 42*p**4 + p**5 + 102*p**4 - 152*p**3.\nAnswer: -3*p*(p - 23)**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6 - 3)*-1*10\/15. Let h be (-3513)\/(-11) - (-3 - g). Let t = -321 + h. Are t and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 263.7787um to millimeters.\nAnswer: 0.2637787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 37, -69, -351, -893, -1779?\n\"Answer: -14*h**3 - 4*h**2 + 4*h + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 924 a factor of 7102788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-96)\/324*29\/((-464)\/72).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 10*z - z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 34029?  (a) 0.4  (b) -3  (c) -0.2  (d) -2  (e) 2\/11  (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*v - 1. Let m be 10*(-4)\/8 - -32. Calculate the highest common factor of m and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 11 - 59 = 0. Suppose 4*s + 66 = 3*o, -o + 1 + y = -3*s. Suppose 0 = 6*z + 2104 - 2158. Calculate the remainder when o is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 43, 0.09, -4, -5, 2\/45?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + r + 1. Let d(o) = 14*o**3 + 2*o + 2. Determine -d(v) + 2*u(v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 593217300 to the nearest 100000.\nAnswer: 593200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 105281304 by -147867.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3582\/5 + 716. Let o = 20 + -31. Let l = -8 - o. Which is the third biggest value?  (a) l  (b) 0.1  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -14845, -14845, -14843, -14839, -14833, -14825, -14815?\n\"Answer: b**2 - 3*b - 14843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 2:31 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10*u**2 - 2 - 1 + 6*u**2)*((2 - 1 + 0)*(-2 + 1 + 2) + 1 + 1 - 4) to b*u + r*u**2 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5417474725 to the nearest integer?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 4*b - 168. Suppose 7*j - 63 = b. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1374  (b) 0.11  (c) 0.22  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2029127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -3. Let l(t) = -1. Let z(v) be the second derivative of 2*v**3\/3 - 38*v. Let q(w) = h*z(w) + 3*l(w). What is the first derivative of q(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10010000000 (base 3) to base 10.\nAnswer: -61236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 375040 divided by -160.\nAnswer: -2344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/1648824 and 35\/2162588?\nAnswer: 298437144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*u = 24*u + 30 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20158 - 20993.1. Let o = -888.2 + z. Let s = o - -1637. What is s rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 + 79 = -3*u. What is the third derivative of -60*l**5 - 2365*l**4 + 2365*l**4 + 46*l**u wrt l?\nAnswer: -3600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(209) + sqrt(209) + (sqrt(209) - 1*4*sqrt(209))))\/(-1*(sqrt(891) + 2*sqrt(891))))**2.\nAnswer: 76\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 654127517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3.8439 and -0.2.\nAnswer: 3.6439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**2 + 0*p**2 - 4*p**2 + (p**2 - 3 + 3)*(2 - 1 - 3) - 1 - 4*p**2 - p - p**2 + 2*p**2.\nAnswer: -8*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert d03 (base 16) to base 5.\nAnswer: 101311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3296 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 3)*(2*k**3 + 3*k**3 - k**3) - 4*k**3 - 2*k**3 + 4*k**3.\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 93.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**5 + 1 - 1 + (-32*n**2 - 4 + 4)*(4*n**2 + n**3 - 4*n**2).\nAnswer: -30*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 515532957.\nAnswer: 3, 4957, 34667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-20)\/((s*s\/(s*s**(-3\/13)\/s))\/s) assuming s is positive.\nAnswer: s**(-276\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 107, 755, 2183, 4673, 8507, 13967, 21335?\n\"Answer: 47*f**3 + 108*f**2 - 5*f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13\/((-130)\/56))\/((-484)\/8470)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/12122 and -17\/12122.\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -140.9 - -140. What is the closest to -1\/2 in 3\/2, i, 3, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 1559, -5, 3 in decreasing order.\nAnswer: 1559, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 + 6*n - 14. Let f be t(6). Let w be (-28)\/(-6)*(-12)\/f. Let r = -10 - -6. Which is the third smallest value?  (a) -0.2  (b) r  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202677273 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -257 - -250. Let z(i) = 13*i + 6. Let c(u) = -4*u - 2. Determine t*c(x) - 2*z(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10807*m + 10820*m + 247 = -1053 for m.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/17?  (a) 5  (b) 3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (6\/315*12)\/(220\/(-14080)*-256)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 - -15. Let w(h) = -h**3 + 6*h**2 - 2*h - 5. What is the tens digit of w(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -d**4\/32 - d**3\/12 + d**2\/4 + d - 50. Let f(i) = 0. What is i?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 144\/14 - (-2)\/(-7). Let x(u) = -6 + 4*u - 1 - 3*u + 25. Let c be x(-3). Calculate the greatest common divisor of f and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -10, 53, 18, 4 in descending order.\nAnswer: 53, 18, 4, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 910*i**2 - 2505*i + 7562967 wrt i?\nAnswer: 1820*i - 2505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -3*g - 3*x - x, 4*x = -g + 8. Let r(c) = -c + 1. Let v(i) = 8*i + 4. Let z = 87714 - 87715. What is g*r(k) + z*v(k)?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000111 (base 2) to base 14.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**4 - 45*k**3 + 176*k**2 + 117*k - 103. Let w(p) = p**4 + 2*p**3 + p**2 + p + 1. Let t(i) = g(i) + 3*w(i). Factor t(v).\nAnswer: (v - 10)**2*(v + 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6*2\/(-10))\/(8\/40)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16 + 14.7. Put l, -2\/9, 1\/3, -2 in descending order.\nAnswer: 1\/3, -2\/9, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gsf when three letters picked without replacement from rsugf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -205 + 471. Solve -49*t - k = -11*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*m - 2*m = -18*m - 280. Let h be (1 + 1)*(-6)\/16. Which is the second biggest value?  (a) m  (b) 2\/5  (c) h  (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -218 + 440 + 236*y - 220 - 1626*y as u + x*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25117 by 2070.\nAnswer: 25117\/2070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 6*k**3 + 19*k + 120. Let r(l) = -3*l**3 - 9*l - 61. Let h(t) = -4*j(t) - 9*r(t). What is the first derivative of h(a) wrt a?\nAnswer: 9*a**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in 16, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 17*w + 15. Let k(i) = 9*i + 7. Let t(z) = -13*k(z) + 6*l(z). Let h(r) = 14*r**2 + 360 - 33*r**2 + 22*r**2 - 360. Determine t(h(m)).\nAnswer: -45*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 7 - 6)*(-645 + 927 + 967 + 861)*(4*m - 4*m - m).\nAnswer: 48530*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0614263 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -160*g**5 - 785*g**4 - 1365*g**3 - 985*g**2 - 215*g + 30 = 0. What is g?\nAnswer: -2, -1, 3\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 3966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-4))\/(y*y**(-1\/3)*y)*(y\/y**(2\/7))**(-4\/19) assuming y is positive.\nAnswer: y**(1270\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 774822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + 4\/4*0. Suppose 5*x - 14 = 3*z, m = -0*x + x. Solve -3*w + 2*v + 5 = 1, -5*w + v = -z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -4*z**2 - 216*z + 448 = 0.\nAnswer: -56, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 20 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 100 and 2575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -8*o**2 + 10*o**2 - 17 + 14 - 4*o. Is 17 a factor of s(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 take away 0.05813?\nAnswer: -0.45813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(132)*5)\/(-5*sqrt(12)*2) + (sqrt(1980) + -2*sqrt(1980) + sqrt(55))\/(sqrt(5) - sqrt(240)\/sqrt(12)) + 1)**2.\nAnswer: 9*sqrt(11) + 895\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 0 + 4 = 3*o, 5*o - 4*g - 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o - o + 0*o)*(2*o - 6*o + 3*o + (-30 - 7 + 2)*(0 + 0 + 2*o)) + (2 + 3 - 3)*(5*o**2 + 0 - 1 - 2).\nAnswer: 81*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1729 - 12*a**2 + 2*a**2 - 1729.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 61*x + 46*x + 92*x + 3. Let a(d) = 399*d + 7. Let t(s) = -3*a(s) + 5*b(s). What is the derivative of t(r) wrt r?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 76754.6513 to the nearest 10.\nAnswer: 76750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 50) + 355352\/7231.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 + 9*g + 2. Let o be c(-9). Suppose -3*n + 8*n - 5*j = 185, -114 = -3*n + o*j. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k - 1. Let z(c) = c**3 + 9*c**2 - 5. Let d be z(-9). Let y(h) = 3*h + 1. Calculate d*y(p) - 6*t(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of -2*n**4 - 43 + 1\/20*n**5 + 0*n + 32*n**3 + 7\/2*n**2. Let v(k) be the second derivative of z(k). Factor v(d).\nAnswer: 3*(d - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -641549 (base 11) to base 15\nAnswer: -1543c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12416*s - 12370*s = -644 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 518644 is divided by 172817?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(6*sqrt(198))\/sqrt(11).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 1 - 2 + 2881948*o.\nAnswer: 2881948*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 5*f - 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 0, -2175527 in descending order.\nAnswer: 0, -3, -4, -2175527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)*1)**2 + (sqrt(17) - (sqrt(153) + sqrt(153)*-1)).\nAnswer: sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4277726095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.03 + 0.17. Let s be (2\/(-4))\/(30\/(-8)). Which is the closest to 2?  (a) 6\/5  (b) k  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - 149*b + 2248. Let y be t(17). What is the third smallest value in -1, 0.3, -123, y, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 6 = -2*z, 4*z + 8 = 4*g - 0. Solve z = 3*c + 2*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - 10\/(-6) - (-18)\/(-27). Which is smaller: 1\/795 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**3*l*l*l*l*l\/((l*l\/(l\/(l\/(l*l**(5\/4)))))\/l))\/(l**(-19))**(1\/18) assuming l is positive.\nAnswer: l**(407\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(2\/11)*h\/(h*(h**(-9\/2)*h)\/h))**(2\/79)\/(((h\/h**(3\/7))\/h**(-3))\/(h\/(h*h*h**(2\/5)*h)*h**(6\/5))) assuming h is positive.\nAnswer: h**(-141028\/30415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q. Let v(h) = -3193*h. Determine v(z(m)).\nAnswer: -6386*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 858\/(-1001)*((-378)\/24)\/(-3)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.19?  (a) 2  (b) -144  (c) -10.3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/12310 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*j + 58*j - 97 = -12*m - 46, 2*j + 2 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 40\/15 - (-2)\/6. Suppose -3*i + 28 = -5*o, b*i + 2*o - 34 = o. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - (-2 + -5))*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 + 6*s - 5. Let n be t(5). List the prime factors of 17 - (n + 3) - -1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 4*u**2 + 37*u + 23. Let d be z(-16). Let y = d + -447. Solve 0*m - y = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 102022122210?\nAnswer: 102022122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3*s)*(-39*s + 0*s**3 + 37*s - s**3).\nAnswer: 3*s**4 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by -9811\nAnswer: -12\/9811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - ((-1 - (6 + -4)) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 155719 divided by -377\nAnswer: -155719\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 11:42 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -104533603*m. Let v(p) = -3*p. What is v(x(k))?\nAnswer: 313600809*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (14\/42)\/((-1)\/(-15)). Suppose 3*c + 4*u = 420, 0 = -z*c - 3*u - u + 700. What is the highest common divisor of 30 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5607 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100069876.\nAnswer: 2, 1019, 24551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2384 + 3455. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12224932899 - 15*s + 12224932899.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 359, 4, 0 in increasing order.\nAnswer: 0, 4, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -7, -0.5, -3 in decreasing order.\nAnswer: 3, -0.5, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2249 = 8*a - 95. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 5:15 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 0.304\nAnswer: -0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*b + 37*b**2 + 0*b - 10*b**2 to w*b**2 + d*b + g and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = -3*l + 3*g + 1036, 1619 = 5*l - g. Suppose 2*v + l = -390. Is ((-2)\/(-6))\/((-7)\/v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*p - 10. Suppose -3*y + 370 = 4*b, 5*y - 570 = -2*b + p*b. What are the prime factors of y?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*i**3 + 1394 - 1394.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 2*h = 14. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2*sqrt(19))**2 - (sqrt(190)\/sqrt(5))\/sqrt(2).\nAnswer: -sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -51*k**3 - k**2 + 1. Calculate the remainder when w(-1) is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -3*v + 5*l - 57, l = -2*v - 38. Let r be (v\/3)\/((-1)\/(-3)). Let c = r + 27. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -2\/5  (c) -1\/10  (d) -54\/11  (e) -0.0318\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 0 + 2. Let o be 1 + (1 - 0\/h). Suppose -o*u - 2*u = -20. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34 + 34. Suppose -3*u + 85 - 61 = h. Solve -3*w = -u*q + 5*q - 24, 3*w - 30 = 5*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 7) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.09?  (a) -0.11  (b) 0.5  (c) -1\/8  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -104 + 105. Which is smaller: 19 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 674587 is divided by 224.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(91)*-2 - sqrt(91))*-1 - sqrt(91)) + sqrt(91))*-2)\/(sqrt(7) + 3*(sqrt(7) + sqrt(112)) + sqrt(7) + (sqrt(28)*2 - sqrt(7))).\nAnswer: -3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5552970121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f - 14*i = -4*f + 354, -32*f = -35*f + i + i + 274 for f.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -63015529.85 rounded to the nearest 1000000?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n**2 - 18*n. Let s(o) = 6*o - 5. Let q(w) = -w + 1. Let m(p) = -5*q(p) - s(p). Give m(j(a)).\nAnswer: 2*a**2 + 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100011100010101 + 11?\nAnswer: 100011100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 3*f - 30. Let o = -7 - f. Suppose -o*m + 6 = -0*m. Solve 2*j + m*j + 11 = -t, 0 = -4*t + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.605 + 0.3574.\nAnswer: 0.9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/125, 43991, 0.1, -3?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 3\/5299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9600*a*x**2 - 1538*a*x - 3*a - 33*x**4 + 17*x wrt x.\nAnswer: 19200*a - 396*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(3\/(-2)*36\/(-54)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 5*q - 5 = 0, -3*b = 2*q - 7 - 21. Suppose -r - r = -b. Find the third derivative of 5 + 2*c**2 + 6*c**3 - r*c**3 - 5 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.8 - -21.8. Let p = -19 + o. Put p, -1\/3, 1 in decreasing order.\nAnswer: 1, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xmmtc. Give prob of sequence cmx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 3:34 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10011010211001 (base 3) to base 16.\nAnswer: 19923d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**16\/r*r*r)\/(r*r\/r**(-2\/35)*r))**(-1\/46) assuming r is positive.\nAnswer: r**(-244\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 12\/11, 2, -0.06104?\nAnswer: -0.06104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -1\/11  (c) 1  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -121021221 (base 3) to base 11\nAnswer: -8a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5051.\nAnswer: 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 297*p - 11842. Give y(38).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4711669 to the nearest integer?\nAnswer: 2171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 842916956 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.7070892 to three dps.\nAnswer: -1.707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z = -10*z + 5*p + 21, -5*z + 186 = 2*p. Calculate the remainder when 67 is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14 * 10027.3.\nAnswer: 140382.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10*-2*(-137)\/4932*27?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from dbyyycyyycyyby.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 198*g**2*i**5 - 3*g**2*i**3 + 15*g**2*i - 11*g*i**2 wrt i?\nAnswer: 11880*g**2*i**2 - 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 5*y - 6*y = 248, -f + 3*y + 44 = 0. Suppose 0 = 5*c - 10*c + f. Calculate the remainder when 11 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 152741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3161*z = 3160*z - 4*a + 51155, 3*z - 4*a = 153321. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dfdpnbw. Give prob of picking 1 f, 2 n, and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 0.24, -161\/8 in ascending order.\nAnswer: -161\/8, 0.24, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 284*i**3 - 630*i**3 + 6032*i**3 + 371*i**3.\nAnswer: 6057*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 AM and 12:34 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o**2 + 16*o + 16 = 0. What is o?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = 5*a - 0*a. Let h be (0 - 2)\/((-16)\/a). Sort -5, -0.5, h in decreasing order.\nAnswer: -0.5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + 8*c**2 - 10*c - 8. Let l = -232 - -213. Let v = l + 10. Determine u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**2 + 54071 - 54071.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50100 divided by 501.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-416)\/130 - (-11)\/5. Is -179 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 - k - 9. Let w be j(0). Does 6 divide 212\/18 - 2\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-1)*1*47\/(-141)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + q + 8 = -2*p, -2*p + 3*q = 12. Let y(j) = -j - 1. Let o be y(p). Suppose -b = 2 + o. Sort 1, 0.4, b.\nAnswer: b, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -54 in -4, 3\/7, -5, -69, 1.5?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*f - 29*f = 19*f + 861 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2 - 808*i - 813*i - 813*i + 2435*i. Let d(l) = -2*l + 2. Suppose -4*n = -j + 3, 0 = -2*n - 3*j - 22 + 3. Let p(w) = n*d(w) - 3*g(w). What is p(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/8 and -103\/22166410.\nAnswer: 88665640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, p: 2, q: 3, j: 4, l: 3, y: 1}. What is prob of sequence qq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/5 + (-4470)\/(-25). Suppose h = 461 + m. Round h to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -403 - -905. Does 32 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.2931 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.49 - 9373308812\nAnswer: -9373308811.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -272 + 275. Let l(n) = -n**4 + n + 1. Let k(u) = -u**5 - 3*u**4 + 17*u**3 - 36*u**2 + 23*u + 3. Let p(b) = f*l(b) - k(b). Factor p(c).\nAnswer: c*(c - 2)**2*(c - 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 96 and 83658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(7\/4)*s*s*s)\/s)\/(s\/((s\/(s\/s**(5\/4)))\/s))*s*s**(-3\/2)\/s*s*(((s\/s**(-1\/2)*s)\/s)\/s)\/s assuming s is positive.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 70*19*24\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2668 * -0.3\nAnswer: 0.08004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*r**2 + 12*r**2 - 7*r**2)*(r - 5*r + 5*r)*(-2 - 1 + 5).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + t = 0, -2*r - 12*t + 15*t = -25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - (-3*sqrt(76) + -5)) + (sqrt(76) - (sqrt(76) + 4*(3 + sqrt(76)) + sqrt(76) - sqrt(76))) + 4)**2*-2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qjajt. Give prob of sequence aj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1175064 divided by -264.\nAnswer: -4451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 141, 39, -0.01, -4, -53\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(2\/3)*t**1)\/(t*((t**(-1)*t)\/t)\/t)**(-7\/2)*(t**(1\/9)\/t*t**(-1))\/(t**4*t\/t**(-1\/5)) assuming t is positive.\nAnswer: t**(-833\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -4 - -10 - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16434.49 * -14.\nAnswer: 230082.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14494 is divided by 132?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -6*y + 2*y - 254, -11*f = -y - 9981 + 9942 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d + 3. Let r be i(-1). Let k(l) = -l**2 - 15*l + 77. Let o be k(-19). Let q be o + 4*(-18)\/(-24). Solve q = -a + r*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -205067 divided by -817\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-23))\/z*z**(-1\/11))**35 assuming z is positive.\nAnswer: z**(8820\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 21966013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 417846*o**3 + 147*o**2 - 649676827 wrt o.\nAnswer: 1253538*o**2 + 294*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -21*g**3 + g**2 + g + 1. Suppose -3*o - 1 = 2. Let s(y) = -y**2 + y + 10. What is the lowest common multiple of r(o) and s(0)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5714334 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 11 = 127*g - 100*g, i - 11 = g for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41034*a + 24*a**3 - 81405*a + 40371*a.\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1501*b + 1500*b - 5*b**2 + 21*b**2 - 26*b**2 - 3003*b.\nAnswer: -10*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of -1\/3*g**3 + 0*g + 1 + 3\/2*g**2. Find the second derivative of w(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 a when three letters picked without replacement from {a: 4, s: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*81\/228 + (-4)\/(-16)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 2 = 12. Solve 3*h - 2 = w*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - 8e?\nAnswer: -8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2978, -23775, -80224, -190151, -371382, -641743?\nAnswer: -1019060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-110)\/495 - (-76)\/423. What is the biggest value in -22, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-132402516)\/(-20) + 4\/(-5). Let n be 1\/((-6)\/4 + 2). Suppose n*k + r = 820125. What is k rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n**4\/7 - 4*n**3\/7 - 87*n**2\/7 + 94*n\/7 + 176\/7 = 0. Calculate n.\nAnswer: -8, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 78, 173, 306, 477?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - x = -24, -6*q + 3*x = 2*q + 28 + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 5  (c) -6  (d) 3\/191  (e) -4  (f) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 78430789 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 294391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 15 = -3*l, 2*l = 4*l + r - 3. Put l, 10, 5, 2 in descending order.\nAnswer: 10, 5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 307.7*-13\nAnswer: -4000.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 3*q**2 - 913*q - 5582. Give w(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/10  (b) 0.5  (c) -0.046  (d) -1\/6  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 47*s**2 - 251*s**2 + 24*s - 24*s to the form m + a*s + i*s**2 and give i.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/2*2\/3. Let t = 196 - 1374\/7. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/6 - 11\/3. Let q = -12 - -95\/8. Let y = 0 - 2. Sort j, q, y in decreasing order.\nAnswer: q, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 7) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -404, -3140, -5876, -8612, -11348, -14084?\n\"Answer: -2736*g + 2332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7519829090.\nAnswer: 2, 5, 79, 9518771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.5?  (a) -1  (b) 1\/10  (c) 1  (d) 0  (e) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21 - -41\/2. Let t = -2034 + 2034.4. Which is the closest to w?  (a) 3\/5  (b) 4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of 3*x**2\/2 - 19*x - 3. Let p be o(7). Suppose -4 - 6 = -2*m - 4*s, 1 = 2*m - 5*s. Sort 0, m, p in increasing order.\nAnswer: 0, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -136 - -142. Solve 29*q + p = 27*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34.1852 + -31.537. Round s to two decimal places.\nAnswer: 2.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -52746 by 106.\nAnswer: -26373\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 - i**2 + 123. Let d be n(0). Suppose -2*p = -3*j + 178, 2*p + 31 = -3*j - d. Let w = p + 124. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78842810?\nAnswer: 2, 5, 1439, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -13*l**2 + 25*l + 2. Let c(p) = -13*p**2 + 26*p + 3. Let g(s) = 2*c(s) - 3*h(s). Find the second derivative of g(t) wrt t.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-32) - (2 - 7\/4)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3177974689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11*(-10)\/(-5500))\/((-34)\/(-85))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 274.1 - 274. Is n less than -1.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7059\/2 + -3597. Let b = -66 - c. Let z = b + -1. Is -1 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4136731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -47309*s - 804249. Calculate x(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-39*(-4)\/(-18))\/(91\/(-273))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-170)\/136)\/((-30)\/32). Let z be (-1)\/(-5) + (-66)\/(-120). Which is the closest to n?  (a) 0.2  (b) z  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5998 or -4\/23?\nAnswer: -5998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 3 - 0)*(-2 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2620 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(162) - (sqrt(162) - -1*sqrt(162)))*6)\/(1*sqrt(81)))\/((sqrt(6) - 4*sqrt(6))*2 + (sqrt(6) - (sqrt(30)*3)\/sqrt(5))).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*m = 3*x + 32*m - 941, -5*m = -3*x + 937. Let v(u) = -2*u**3 + 15*u**2 + 19*u - 30. Let w be v(8). What is the highest common factor of w and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (6 - (-4 + 24 + -7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 - 4*w**2 - 5*w - 2. Give l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13.37 + -9.54. Let q = -3.33 + v. Which is the second smallest value?  (a) 1\/3  (b) -0.2  (c) 5  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-4*(sqrt(80)*-1 - sqrt(80))\/sqrt(4))\/((-1*sqrt(100))\/sqrt(10) + sqrt(10) - sqrt(110)\/sqrt(99)))**2*-3.\nAnswer: 17280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 6*t**2 - 74*t. Let l(x) = -2*x**2 + 2*x - 1. Let w(g) = -19*g**2 + 18*g - 9. Let s(u) = -18*l(u) + 2*w(u). Determine q(s(b)).\nAnswer: 24*b**4 + 148*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 - 4*b - 17. Let i = 33 - 26. Let r be q(i). What is the first derivative of 12*c**r - 5*c**4 - 1 - 6 wrt c?\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 3. Let a be (-5)\/(5\/4) + h. Let b be (31 + -26)\/(-1 + 2). Sort a, -1, b in ascending order.\nAnswer: a, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6170 - -0.2\nAnswer: -6169.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 40, 129, 218, 307, 396?\n\"Answer: 89*c - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((-3*1*sqrt(384) + sqrt(384) - sqrt(384)) + sqrt(384))\/sqrt(12))**2.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - l = 85, r = -3*l + 12 + 27. Suppose -8 + r = -2*b. Is 0 - (b + (-2)\/(-2)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 842881859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 233 + -228. Let v = -5 - 1. Let r(n) = -8*n + 2. Let l(y) = -9*y + 2. Give j*l(i) + v*r(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n. Calculate the remainder when 33 is divided by w(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -80*n. Let b be c(-1). Suppose -4*t + 38 + 42 = 0. What is the highest common factor of b and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pupawupqwwaw. Give prob of picking 1 q and 3 p.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 711, 706, 689, 654, 595, 506, 381?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -266 - -133. Let h = u + 156. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49151200?\nAnswer: 2, 5, 7, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + (-63 - (-20 + 1)) - -10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 5 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 4*u**4 - 2788*u**3 + 200220*u**2 - 392092*u + 194656 = 0.\nAnswer: 1, 79, 616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141261783?\nAnswer: 3, 13, 3622097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/9, 63, 0, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 343 + -182. Is j a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -5 - ((-56)\/(-196) + (-181450)\/(-14)). Let v = -8549 - l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 64, 119, 196, 301, 440, 619, 844?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 5*b - 72 + 57 = 0, -34*z = -4*b - 142 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 69, 134, 199, 264, 329?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 14304230 (base 5) to base 10\nAnswer: 150565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 12, l: 3, n: 1}. Give prob of sequence nlr.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5282 and 69787.\nAnswer: 19400786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of -7*v**5\/120 + 19*v**4 - 65*v**3\/3 - 15*v**2 + 10. Find c such that m(c) = 0.\nAnswer: 2\/7, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y + 11*y = 8. What is the highest common factor of y and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 7257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 34\/13781 or -1?\nAnswer: 34\/13781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -161\/9690 and 49\/4845.\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = a + 15, -3*h - 7*a + 2*a = -5. Let f = h + -7. Is f bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of -t**4\/12 + 13*t**2\/2 - t. Let c(j) = -j**3 - 8*j**2 + 11*j + 18. Let b be c(-9). Let k be b + -4 + 2 + 2. Give v(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 974835007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + s + 2*z + 4, 3*s - z + 14 = 0. Suppose -2*v = -5*y, 7*v = 2*v - 4*y. Sort v, 3, s.\nAnswer: s, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.3 + 1.3. Let k(u) = 4*u - 19. Let d be k(5). Suppose 0*f + 3*f = -2*h - 3, 2*f + d = -h. Which is the closest to f?  (a) v  (b) -1\/3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004830703 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1526, -4582, -9158, -15248, -22846, -31946, -42542, -54628?\nAnswer: -68198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from riijjjn. Give prob of sequence jrj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u. Let o be a(-2). Solve o*b + 3*b = -w, 0 = -2*w + b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -80 + 133. Let j = z - 53.0000023. Round j to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24893765 and 3485?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 327499*a**2 - a + 2. Let p(s) = 3 - 5 - 2*s - 2 - 2. Let w be p(-2). Let m be f(w). Round m to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.8 - -0.2. Sort i, 1\/2, 0, 0.06 in increasing order.\nAnswer: 0, 0.06, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*k - 608 = -28*k. What is the greatest common divisor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 129 (base 11) to base 12\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 189794985 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y - 2. Let q be m(-2). What is the common denominator of -49\/6 and (q\/(-6))\/(14\/156)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n - 4*n**3 - 3*n + 3*n**3)*(-492*n**2 + 94*n + 72*n - 166*n).\nAnswer: 492*n**5 - 492*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10838510 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -1. Let q(h) = -h**2 + 13*h + 18. Let v(l) = 4*j(l) - q(l). Let r = -2766 - -2783. List the prime factors of v(r).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + sqrt(68) + -1 + -5 - (-3*-1*sqrt(17) + -5))**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 422*u - 431*u + 45 = -3*m, 0 = 3*m - 3*u + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3032 - 102223?\nAnswer: -33131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 419 - 482 = 4*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 6*v**2 + 15*v - 28. Let c be f(2). List the prime factors of c\/((5 - (-426)\/(-144)) + -2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of -427*h**5\/5 - h**4\/24 - h**3\/3 - 7*h**2. Suppose 2*t - 2 = 2. Let x be k(t). What is x rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21881.9*3\nAnswer: -65645.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -5*a - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -418.3 + 49.3. Let m = v - -369.000322. What is m rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*p + 12*p - 6*p)*(-p**3 - 1 + 1) + 4*p**4 + 0*p**4 - p**4.\nAnswer: -23*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 6*f + 4*t, -3*t = -4*f. What is the closest to f in 0.5, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 130589 from 41.\nAnswer: -130548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + 8*d. Let w be u(-8). What is the second derivative of -4*p**2 + 4*p + w*p - 2*p + 0*p wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 1 + 2 + 127*j**3 - 3*j**2 - j - 126*j**3 + 4. Let x be t(3). Factor 0*b + 1\/3*b**3 + 1\/3*b**x + 0 + 0*b**2.\nAnswer: b**3*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 3*c - 2, -5*c + 30 = -5*l - 0*l. Let d = 0 - c. Let v be (-6 + 1)\/(1 + d). Solve -t = -v, -3*u + u - 4 = -2*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.09 - 3.91. Let g be (-2145)\/(-22)*(-2)\/20. Let c = 9 + g. What is the closest to 1\/4 in y, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(495) + -2*sqrt(495) + sqrt(495))\/(sqrt(5) - sqrt(320)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3290242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (86 - 1)*6\/15 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 220.2 - 195.42. Let z = r + -22.8. Let k = -1.9799877 + z. Round k to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178038291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -129 + 161. Suppose -3*f + v = 23. Find b such that -f - 7\/6*b**3 - 22\/3*b**2 - 25\/2*b = 0.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001531019 rounded to 7 dps?\nAnswer: 0.0001531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7911973942.\nAnswer: 2, 43, 91999697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 5.2. Let t = 0.2 + l. Let u(f) = f**3 - 2*f**2 - 7*f - 1. Let p be u(4). Which is the third biggest value?  (a) t  (b) p  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -23*v - 2. Let j(k) = -8*k - 1. Let x(w) = 6*b(w) - 17*j(w). Calculate x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 AM and 5:10 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**1\/(m**(-10)\/m)*m**(5\/6)*m**(-8)\/m)**(-5\/13) assuming m is positive.\nAnswer: m**(-115\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 9 = -9*p, 2*p + 3100*s - 3091*s = -p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 4*q + 1224, 2*q + 649 = -4*u - 573. Let g = u - -321. Let k = 6 - 4. Solve 6 = -k*y + g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 21 - 5*i + 2*i - 7.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide (0 - 6 - 21719)*(-15 - -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.380161269 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 121 = -n - 3*d, 2*d = n - 34. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + 387 = -40. Let w = q + 155. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 3*k - 12 - 6, 5*a + 5*k = 0. Calculate the remainder when (a\/4)\/(35\/(-2100)) is divided by 22 + -1*2\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8000309 or 8000318?\nAnswer: 8000318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105059 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/((n\/(n\/n**0*n))\/n*n*n*n*n)*n)\/((n\/(n**(2\/15)*n))\/n)*(n*n\/(n*n*n*n\/n**(-2\/19)))\/n**(-5))**(-44) assuming n is positive.\nAnswer: n**(-50512\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the third derivative of -b**7\/1260 + b**6\/240 + b**5\/120 + b**4\/24 + 3*b**2. Let f(r) be the second derivative of w(r). Give f(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 9 = 19*n - 21*n, 0 = 3*n + 2*h + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 661 is divided by 100?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 58*v - 21*v - 16*v - 24*v - 303 to j*v + w and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7446 and 4.\nAnswer: -29784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 24397*0.05\nAnswer: 1219.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6328\/13 or 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 2371?\nAnswer: -2371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*c - 281 = -8*c - 809 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of 5*u**3\/2 - 9*u**2 - 2*u + 52. Let c(n) = 5*n - 6. Let x(h) = 17*c(h) - 6*t(h). Determine x(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, w: 7, i: 8}. What is prob of sequence awiw?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -126\/5  (b) 5  (c) 0.05343\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 46869 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 5*u - 4771 - 931, -5*z + 3*u + 9498 = 0. Suppose 0 = 4*v - 4703 + z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 9*l**3 - 25*l**2 + 7*l - 9. Let w(m) = -5*m**3 + 13*m**2 - 4*m + 5. Let c(z) = 6*j(z) + 11*w(z). Let y be c(-7). Is 10 a factor of 5\/(y\/6) + 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of 7*j**2 + 0*j**6 + 2\/315*j**7 + 0*j**4 + 0 + 0*j - 1\/45*j**5 + 0*j**3. Factor r(u).\nAnswer: 4*u**2*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3384*t + 72528. Give y(22).\nAnswer: -1920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-8 - (29 + 357\/(-21))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 615369384128\nAnswer: 615369384133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 9. Let p(g) = 4*g**2 + g - 10. Let f(i) = -i**2 + 3. Let m(n) = y*f(n) + 2*p(n). Suppose 0 = 2*s - 6 + 12. Give m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11639904 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4103\/2840 + -3\/568. Calculate the common denominator of (189\/92 + -1)\/((-2)\/4) and b.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/100 and -63\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28 and 7133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-330*n - 2842*n - 1428*n)*((0 + 4 - 6)*(2*n + 0 + 0) + 3*n - 3*n - n).\nAnswer: 23000*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (25\/(-50))\/((-4)\/58) + 1*-7\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 3 = 4*x, -2*k - 6 = -5*x - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32979\/4 - -8245. What is the closest to -0.1 in 66, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-16)\/(-24)*((-3)\/(-1) + 0). Solve 0*x - c*x = 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 46, 66, 86, 106, 126?\n\"Answer: 20*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.204 + -0.104. Suppose -5 = 40*l - 43*l - 2*f, 4*f = -20. What is the nearest to -7 in l, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 143227\/5 - 1330403\/45. Is z bigger than -920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1083  (b) 0.4  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -580176241 less than 2437?\nAnswer: 580178678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i**3 - 135 + 4*i + 145 + 11*i = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12220100012100 (base 3) in base 13?\nAnswer: 85a700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*p**2 - 729*p**3 + 702*p**3 - p**2 wrt p?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3 = -11. Let m be q*2 + -1 + 1. Suppose 0 = -2*i - 2*i - m. Sort i, 1, 3 in descending order.\nAnswer: 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 - (-165)\/(-75))*0\/2. Solve 3*p + 2*d + 2 = a, -3*d + 10 = 7*p - 9*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {h: 4, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 1716 divide 13064151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 95 = -s. Let j = 0 + s. Let d = j - 16. Solve 0 = 5*z + 3*b - 18, d*z - 6*z + 7 = -2*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 6*q**2. Let p(d) = 487739 - 208*d - 487739. What is n(p(a))?\nAnswer: 259584*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 4*k - 30, -j + 45 = j - 3*k. Let p be ((-9)\/(-6))\/(j\/48). Solve a - 4 = t - 3, -4*a - 20 = p*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -340 + 796. Suppose -5*f = -8*r + 10*r - 1182, 2*f + 5*r = h. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1631857.8 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of 0*a**5 - 23\/6*a**3 + 0 + 0*a + 16*a**2 + 0*a**4 + 3\/40*a**6. Find the first derivative of y(h) wrt h.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -278102\/9 + 31327. Let f = -428 + y. Calculate the common denominator of 29\/10 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -11)*(518\/(-28))\/37\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -2038471?\nAnswer: 203847.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - -7b7725?\nAnswer: 7b7724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -3*f**3 + 7*f**2 + f. Let i(x) = -x**3 + 3*x**2. Determine -5*i(r) + 2*k(r).\nAnswer: -r**3 - r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 41 or 284\/7?\nAnswer: 284\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of w**5\/20 - w**4\/2 + 2*w**3\/3 - 3*w**2\/2 - 2*w. Let n be p(6). Calculate the highest common factor of n and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31\/124 + (-1)\/8\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, f: 1, p: 2}. Give prob of sequence fp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.0506 - 0.0494. Let k = 29 + -147\/5. Which is the nearest to 0.1?  (a) k  (b) s  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - -2)*5\/(-5). Suppose y = -3*i - s + 4*s + 1677, 4*i + 5*s = 2281. Suppose -56 = 4*v - i. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11728 and 9104.\nAnswer: 6673232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 110 and 1952030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 6, 1, -1346, 0.01, -2, 2\/9?\nAnswer: -1346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: a71656 (base 16) to base 5\nAnswer: 10300401410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 285*f = 62*f - 669 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -8*c**2 + 2*c + 2. Let w(l) = -240*l**2 + 10*l + 8. Calculate 12*r(d) - 3*w(d).\nAnswer: 624*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -566 + 566.4. Let a(p) = p**3 - 5*p**2 + 6*p - 6. Let q be a(4). What is the second smallest value in -0.2, q, -4, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v*v**(-2\/13))*v**2)\/(v**(1\/8)*(v\/(v**(2\/11)\/v))\/v))\/(((v**(-3\/5)*v)\/v*v*v**(-4))\/(v**(-5)\/v*v*(v\/(v\/v**(3\/7)*v))\/v)) assuming v is positive.\nAnswer: v**(-70501\/40040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 42746649, 42746653, 42746661, 42746673, 42746689?\n\"Answer: 2*v**2 - 2*v + 42746649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**3 - t**3 + 0*t**3)*(-3 - 10*t + 3)*(-4 + 1 + 4)*(2*t + 0 + 0).\nAnswer: 20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4294309153 - -46?\nAnswer: 4294309199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/1850 + 1837\/24050. What is the nearest to -2.04 in c, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 5*l = 9094 - 9114, -4*d - 185 = -33*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 182 - 87. Let n = -60 + b. Suppose -6*h + 45 = -2*h - 5*f, 2*f + n = 5*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*x + 3*x. Suppose -3*u + 12 + 0 = 0. Suppose -u*n - n - 20 = 0. Which is the closest to x?  (a) n  (b) 0.1  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - y - 1. Let u(g) = 134*g**3 + g - 1. Determine t(x) - u(x).\nAnswer: -133*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2589 or -4\/55?\nAnswer: -2589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*b**3\/4 - 729*b**2\/4 + 213*b\/2 + 72.\nAnswer: 3*(b - 48)*(b - 1)*(5*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.52 greater than -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21208 by -2.\nAnswer: 10604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -16*o + 11. Let w(i) = 3*i - 2. Suppose -10 = -6*l + 2. Give l*j(h) + 11*w(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = 35*j - 40*j, -k = -3*j - 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 5*c - 33, 3*i + 2*c = -i + 26. Suppose 0 = -i*x - 110 + 678. Suppose -3*l = -l - x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -30*o + 10*o + 0 + 0. Let z = -344 - -134. Let f = z + 226. Let a(b) = -4*b. Give f*a(m) - 3*c(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-4) + (7 - 5)\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**3 - 70*o**2 - 979*o - 31570. What is w(-34)?\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ga when two letters picked without replacement from cgacggccggcggcdgcg?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 857 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 15764, -4\/3, -2.5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mcxx when four letters picked without replacement from {x: 7, s: 3, c: 3, o: 2, m: 3}?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*w - 97 + 37 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/5 bigger than 2526026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44196 and 2?\nAnswer: 44196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*f - 22 + 22)*(2*f + f - 2*f) + 7*f**2 - 44*f + 24*f + 24*f + (-3*f + 2*f + 0*f)*(4 + 2*f - 4).\nAnswer: 10*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 11 + -13 - -3 - 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13654, 27306, 40958?\n\"Answer: 13652*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**13\/(l\/l**(2\/17)))**(-36\/7))**36 assuming l is positive.\nAnswer: l**(-266976\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 32 = 6*u. Let n be (10\/u)\/(1\/4). Suppose 0*h - 30 = -n*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55105, 55121, 55137, 55153, 55169?\nAnswer: 55185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*u**2 - 3*u**2 - 2*u**2 + 2*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 118 and 68086?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of 2*g**2 + 17*g + 176. Give s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/42*((-781)\/(-165) - (68\/6 + -9)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1151, 1145, 1127, 1091, 1031, 941, 815?\n\"Answer: -a**3 + a + 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1990 and 10682320?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h. Let s(i) = -24*i. Give s(m(y)).\nAnswer: 96*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zoh when three letters picked without replacement from {h: 1, o: 1, r: 2, z: 2, d: 1, t: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 92648 by 4.\nAnswer: 23162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 3685584.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 814, 770, 724, 676, 626?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 196560.\nAnswer: 1\/98280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i + 569. Let v(x) = -x + 258. Let s(w) = -3*m(w) + 7*v(w). What is s(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbdd when four letters picked without replacement from {d: 2, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-9)*24\/20*(67 - (-4158)\/216)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 425174257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/7, 1\/2, -0.2, 0.46?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/25 + (-4)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1759, 1761, 1763, 1765, 1767?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 + (-3 - -5) - (52 + -59).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 6*g + 12, -5*z = -5*g - 140. Calculate the remainder when 93 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*m = -13*m - 60. Let i(q) = -4*q + 50. Let n be i(m). Let x be (-423)\/(-7) + n\/70. Calculate the highest common factor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*z - 161*z**3 + 7*z + 157*z**3 - 17*z**2.\nAnswer: -4*z**3 - 17*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3293869499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43 = 10*y - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 252087156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -50542 divided by 37?\nAnswer: -1366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 + 14*h - 13. Let d(n) = -32*n + 1. Let m be d(-1). Suppose -w + 4*w = m. Let a be c(w). Solve u + 5 = -5*x - 0*u, -3*x + 4*u = -a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/7*j**3 + 6*j**2 + 160\/7*j + 0 = 0. Calculate j.\nAnswer: -16, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 963, 1977, 3043, 4161, 5331, 6553, 7827?\nAnswer: 9153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 4*z - 4. Put z, 3, -1 in ascending order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 165, 194, 241, 306, 389, 490, 609?\n\"Answer: 9*r**2 + 2*r + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 241*y**4*z**2 - 162*z**2 wrt y.\nAnswer: 964*y**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/2, 1, 0.19, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20\/(-45)*(-3)\/22. Let w(u) = u**3 + u**2 + u + 4. Let c be w(0). Suppose 2*i = -5*l - 1 - 16, -2*i = -c*l - 10. Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z = -7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of -d**4\/48 - 17*d**3\/24 + 9*d**2\/4 - d - 3. Let f(i) = 0. Calculate i.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10632 + -453\nAnswer: -11085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccecsceccccecc. Give prob of picking 1 s and 2 c.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-22))\/(17\/34).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-12) - 3\/9*-340. Let s = q - 114. Let t(f) = 11*f. Determine t(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42\/(-98)*(-4)\/(-3)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 2:30 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 4*v - 204 = 166, -5*p = -4*v - 614. Let g = p + -608\/5. Factor 0 - 4\/5*u**2 + 2\/5*u + g*u**3.\nAnswer: 2*u*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 165 = -26*s + 61 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is af + -ecf?\nAnswer: -e20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 33 = 2*n, -4*z - 6 + 51 = 3*n. Let l(g) = g**3 + 5*g**2 - 7. Let a be l(-4). Solve -4*w - z = -a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 - t - 1. Let a be r(-1). Let g(j) = -1. Let m be ((-27)\/18)\/((-15)\/20). Let c(s) = 3*s. Calculate a*c(d) + m*g(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5 + -1)\/(5\/5). Let h be 4\/u - (3 - 2). What is the second derivative of -5*f - 3*f**4 + 2*f**4 + h*f wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -279 - -306. What is the remainder when x is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 6) + 7 + (3 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 200111?\nAnswer: 200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*j + 112*j - 1013 + 4413 = 0 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 11) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 129 + 674 = 0. What are the prime factors of u?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.48 and -4470276?\nAnswer: 4470274.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/40*-9*(-2 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -2*a**3\/9 - 72856*a**2\/9 - 663426730*a\/9 + 1327144900\/9 = 0?\nAnswer: -18215, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 b when four letters picked without replacement from dbbdqdqbbdqdbqqqqh.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, p: 2, n: 2, y: 2, l: 1, s: 4}. What is prob of sequence yn?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = 145038*b - 145036*b - 2, -11*f = 4*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 26 = -3*c, 8 = 2*c - 4*h + 2*h. Let i(f) = 1 + f**2 - 1 - c + 4*f. Give i(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - t + 9, -3*h = -4*t + 13 + 10. Let s = 15 + h. Solve -2 = k + s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4566 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, u: 1, a: 2, k: 1, c: 1}. Give prob of sequence ck.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 93943734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -17054922, -34109843, -51164764, -68219685, -85274606, -102329527?\n\"Answer: -17054921*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -5*a**3 - 11*a**2 + 4*a. Let i = 3 - 3. Let m = 5 - i. Suppose -4*z - 4 = -m*z. Let d(n) = 2*n**3 + 5*n**2 - 2*n. Give z*s(r) + 9*d(r).\nAnswer: -2*r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 13) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 (base 14) in base 6?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 59\/4 of a minute?\nAnswer: 885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b - 2*b**2 - 5*b**3 + 343 - 333 - b**4 + 4*b**3 as r*b**3 + v*b**4 + c + p*b + q*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 399688673 to the power of 1\/2, to the nearest integer?\nAnswer: 19992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m**3\/6 - 125*m**2\/6 - 410*m\/3 - 800\/3 = 0.\nAnswer: -16, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -196*o**2 + 24*o + 807*o**2 - 200*o**2 - 201*o**2 - 212*o**2 - 24*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(-5) - (120\/(-12) - -8)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 4:43 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -59 - -63. Suppose 3*x - 15 = 3*q, -s*x - 2*q - 1 + 3 = 0. Let k(h) = 803*h**x - 805*h**2 + 1 - 1. Let v(f) = -3*f**2. Determine k(v(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -5613044165?\nAnswer: 5613044166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.0869 - -1.0969. Which is the closest to -14?  (a) u  (b) 1\/5  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/2)*d)**(-3\/4))**(-3\/26)*(d**0*d)**(-1\/52)*(d\/d**1)**32 assuming d is positive.\nAnswer: d**(23\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 - 3*v - 3 - 2 + 2*v**2 + 2. What is the remainder when 2 is divided by n(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 6*o + 200 = 0. Let l be (0 - 1)*3157\/63. Let g = l - o. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1275, -2551, -3827, -5103, -6379, -7655?\n\"Answer: -1276*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17289.\nAnswer: 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*l - 0*l. What is the third derivative of -l*i**4 + i**2 + 4*i**4 + 0*i**4 wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1\/5, 0, 4\/3, 2\/5, -23.63?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 46.5674 centuries?\nAnswer: 55880.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -14745*r**2 - 3707*r + 6. Let p(n) = -29517*n**2 - 7414*n + 11. Let i(k) = -11*b(k) + 6*p(k). Find the second derivative of i(s) wrt s.\nAnswer: -29814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 91, 99, 111, 127?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122*u - 70*u - 43*u + u.\nAnswer: -234*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 + -3.1. Let d be (1331\/(-110) - -12)*0. Does d = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 5*m + 40. Let l(x) = -x**2 - 3*x + 24. Let y(v) = -3*d(v) + 5*l(v). Let o(r) be the first derivative of -r**3\/3 + 3*r**2 + 1. Give o(y(g)).\nAnswer: -4*g**4 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + -2. Suppose d = 5*q - 6, 4*q + 2 = r*d - q. Suppose d*w + 5*v - 62 = -22, 0 = 3*v. 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(y) = 3*y - 3. Let i be h(3). Suppose i*o - 29 = 3*o - 4*z, 5*z = o + 22. Calculate the remainder when (o - -89)*(-1)\/(-2) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -108834, -217661, -326488?\nAnswer: -435315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 356*3\/(-24)*-14 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i - 0*a + a - 28, 4*i + 3*a - 29 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 5*y + 4 = -k + 3, 0*y - 4*y - 1472 = 738*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -8  (b) -0.02  (c) 4742\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -78571*y**4 - 196654*y**2.\nAnswer: -1885704*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 24618607 = 24618609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.223 and -63.\nAnswer: 14.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 12, 4*b - 60 = -0*m + 5*m. Let q be (-8)\/86*b\/8. Let v = q - -88\/387. Is -1 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1610 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 772a9 + 21?\nAnswer: 7731a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1622837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 286999481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jqxojgg. Give prob of sequence jg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16\/(-24) - 743716\/(-51).\nAnswer: 2, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 + 2 + (-17)\/((-102)\/(-48)). Let n be 0 + 1 + -1 + -14. Let f be (n\/7)\/((-1)\/p). Which is the second smallest value?  (a) 3\/5  (b) 15  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddddaddddddddjjd. What is prob of picking 1 j and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 198 - -129. Let i = x + -327.658. Round i to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -4*v**2 - 184*v + 560. Give r(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 96\/343, -0.1 in decreasing order.\nAnswer: 96\/343, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 221\/102 + 1417\/(-78).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 - -20. Suppose 3*p = -q + 28, 2*q - 17 - 43 = -m*p. Calculate the least common multiple of 6 and q.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - ((32 - -9 - -18) + -27)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -u + g - 5*g, 4*u = 4*g - 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2 = 0, 0 = d + 4*x + x + 7. Suppose 0 = -4*w + 4*l - 45 + 149, 0 = w + 4*l - 6. What is the second derivative of w*u - 13*u - 14*u**d - 12*u wrt u?\nAnswer: -84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/4 - (-1)\/(-2). Let d(n) = -n**3 - 8*n**2 - 9*n - 10. Let k be d(-7). Factor -r*o**3 + 0*o - o**4 - 2*o**k + 0*o.\nAnswer: -3*o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5608+3\nAnswer: 3.5608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (-3 + 7 - -13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5\/6 - 47\/66. Let q = p + 17\/11. Let x = 2757 - 2755. Put x, 4, q in descending order.\nAnswer: 4, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 4*m**2 - 6*m. Let a(x) = -3*x**3 + 12*x**2 - 18*x. Let s(g) = -6*a(g) + 17*l(g). What is the second derivative of s(w) wrt w?\nAnswer: 6*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (18\/18 - (25 - 26))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -11*-0.3728763\nAnswer: 4.1016393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 - q - 1. Let t(s) = 6*s**3 + 8*s**2 - 2*s - 2. Let i(f) = -3*j(f) - t(f). Let k(p) = -5*p**3 - 4*p**2 + 4*p + 4. Calculate 4*i(x) - 5*k(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.5 + -6. Let g be (-12)\/(-18)*9\/(-60)*-4. Which is the nearest to -2\/9?  (a) g  (b) -1  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5022, 4906, 4790, 4674, 4558?\nAnswer: 4442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*(j**(-2\/7)*j)\/j*j)\/j**(-1\/6)*((j**1\/j)\/j)**(-20\/7))**(-1\/17))**(1\/15) assuming j is positive.\nAnswer: j**(-199\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*w**2 + 2*w**2 - 2 + 5 - 2*w**2 - 2*w to h + o*w + q*w**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of n**4\/30 + 11*n**3\/5 - 3*n - 21. Factor a(h).\nAnswer: 2*h*(h + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z**2 - 27*z + 72. Let c be b(10). Solve -2*x + 5*x + 17 = 5*j, 18 = -5*x - c*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 3 - 4 - 236*u**2.\nAnswer: -236*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*z**3 + z**2 - 90*z - 2684 wrt z.\nAnswer: -12*z**2 + 2*z - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -167, -325, -513, -719, -931?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f + 5. Let n(m) = 0 - 2*m - 3 - 8. Suppose -24*q + 25*q - 199 = 0. Let a = -195 + q. What is a*n(i) + 9*y(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1654114 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 + 2*s - 1. Let b be w(1). Suppose -b*v = 38 + 20. Let f = -12 - v. What is the remainder when f is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 7:34 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 divided by 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 8*g - 12*g. Let l = 1 - g. Let h = 5 + -1. Solve h*d + l = 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 70, -32, -9, 1, -3, -2.\nAnswer: -32, -9, -3, -2, 1, 2, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107856 - 705*k + 215724 - 107868.\nAnswer: -705*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -8\/25, 2, -1\/3?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 + 8. Let w be -4*(-4)\/12*r\/(-16). Calculate the highest common divisor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -64008436 <= -64008424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(192) - ((sqrt(192)*-5*5)**2 - sqrt(192)))*1 - (4 + (-1 + 3*sqrt(192))**2)) + -3.\nAnswer: -121738 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/124896 and 49\/62448?\nAnswer: 124896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 519316665 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33 + -16. Which is bigger: 86\/5 or p?\nAnswer: 86\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 18) + -30 + 42?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18070 and 1690?\nAnswer: 234910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -9*a**2. Let y(m) = 2*m + 6. Give y(t(l)).\nAnswer: -18*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -4*v - 9*v - v - 10 + 11*v. Let m be a(-15). Suppose -l - 105 = -3*b + m, -3*b = 4*l - 145. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.383 times -67\nAnswer: 92.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 548 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -123 + 274. What is the remainder when g is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 233586 less than 0.3?\nAnswer: -233585.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 281, 276, 265, 248, 225, 196?\n\"Answer: -3*t**2 + 4*t + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 7*x + 6. Let p(u) = -20*u - 17. Let k(n) = 17*a(n) + 6*p(n). Let q(h) = -7*h**2 + 2*h**2 - 6*h**2. What is k(q(y))?\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = r - 5*r + 83, -3*r = 4*z - 113. Let n = -22 + z. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -2\/129, 3, -5, -4, 2, 14.3?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 1529 = -3*v, -3*b + 506 = v + 7. Suppose -4*d + 612 = 2*p, 5*p - 2*d = 971 + v. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 36420.3 to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1337 = -11*v + 1293 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -32754 and -0.46.\nAnswer: 15066.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5162585 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -9. What is the third biggest value in q, 5, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -194*p + 187*p = -49749000. Round p to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -119*m**2 + 13*m - m**4 + 2*m**4 + 0*m**4 - 12*m - 1 as t + v*m**2 + f*m**4 + h*m**3 + z*m and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 5*p - 19, c + 165*p - 25 = 162*p. Solve 2*o + 26 = -i + 5*i, -5*i + 13 = c*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11126 divided by 3710.\nAnswer: 5563\/1855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8189\/14 + 585. Put -2, n, 1\/4, 0.02 in ascending order.\nAnswer: -2, 0.02, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -c**4\/4 - 8*c**3\/3 + c**2\/2 + 8*c - 1173. Let o = -20 + 12. Let j be u(o). Solve j = -a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17172?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + 2*g. Let h be w(-2). Let u = -5 + 4. Let q be -4*(h\/(-1) + u). Which is smaller: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68425 is divided by 11403.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 134 + 21?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 4) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-4499)\/10 + (-104)\/1040)\/((-6)\/8) is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - -3)*-1*1. Let q(s) be the second derivative of 5*s**3\/3 - s**2\/2 + s. What is q(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -397 - -483. What is the remainder when o is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 75*r + 42394 = -73*r, -r = -6. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -5. Suppose 441*v - 437*v = -64. Let m be (-198)\/v - (-12)\/(-32). Put 4, 3, m, j in ascending order.\nAnswer: j, 3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, -0.2, 0.06, 1\/5, 5, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 133595140963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 398\/5 + -80. Which is the nearest to 2\/7?  (a) 0.5  (b) -0.2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 12 = -c - 4*s, 4*s = 4*c - 36. Let m(h) = 6 - 9*h**2 + 7*h + 2 + c*h**2 - h**3. Let n be m(-6). Let a(w) = -2*w**2 + w + 2. What is a(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 360 = -31*o + 5*o + 230 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1789231\/87 - 20566. Calculate the common denominator of a and 41\/185.\nAnswer: 16095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 + (-3 - 1*-6). Let f = 11 - g. Which is smaller: f or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -630*i - 82588. What is b(-133)?\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 59127533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 512\/(-15104)*-236 - 12\/(-8)*(-242)\/3.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/(1 + (-5)\/1). Let b(v) be the first derivative of -2*v + 1 + h*v**2 + 7\/3*v**3. Factor b(y).\nAnswer: (y + 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3396 (base 13) to base 6.\nAnswer: 53233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4269034 is divided by 355751?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 88463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -7*a + 2*a + a**3 + 0*a - 2 + 6 - 7*a**2. Is 28 a factor of c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**4\/4 + 51917*p**3\/4 - 224688075*p**2 + 1298245197500*p - 22005297250000.\nAnswer: -(p - 17300)**3*(p - 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - 364*x + 3309. What is n(9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33 + 36. Suppose -y - 1 = 5*u, -4*y + u = k*u - 32. Let j be 0 - y\/((-27)\/12). Solve 2*q + 9 = -r, -3*q - 3 = j*r - 6*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*v - 10*v = 7. What is the common denominator of 4\/(-18) - (-251)\/117 and v + -4 - 4\/(-24)*58?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q. Calculate b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 39, 22, -11, -66, -149, -266?\n\"Answer: -x**3 - 2*x**2 - 4*x + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 274 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -1\/4, 4, 32, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 671 + -373. List the prime factors of z.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1958*l + 51252 = -40774 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 4*y - 36. Let g(n) = -n**3 - 6 + y*n + 4*n**2 - 5*n + 0*n**3. Let v be g(5). Which is smaller: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2649569617?\nAnswer: 23, 229, 571, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 10  (b) -3\/4  (c) -2\/13  (d) 31  (e) -2\/5  (f) 0.01  (g) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 7:28 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 73362 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7977\/101042)\/(21\/(-6)*6\/(-56))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwzwwwzwzzwzwwzzzwz. What is prob of sequence zwwz?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -7*o**2\/2 + o - 10. Differentiate p(h) wrt h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - p**2 - p + 1. Let k(c) = -c**3 - 3*c**2 - 3*c + 4. Let u = 13 + -11. Let o be (-35)\/7 + u\/1. Give o*h(s) + k(s).\nAnswer: 2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - -6 - ((-6 - -25) + (-23 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 9*u + 15)*(0*u - 2*u + 0*u)*((0 + 2 - 3)*(1 - u - 1) - 2*u + 1 - 1).\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(891) - (sqrt(891) + 1))**2 + 4 - ((sqrt(99)*3)\/sqrt(9)*5)**2).\nAnswer: 12350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v**2 - 28*v - 4. Let q be z(-14). Which is the closest to 2\/7?  (a) -3\/2  (b) q  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 31495552 and 1789520.\nAnswer: 157477760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and 351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*q + 11*q + 19*q + 2*q**2)*(-6*q + 5*q - 3*q).\nAnswer: -8*q**3 - 48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41770 is divided by 360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1622110 and 2595376?\nAnswer: 12976880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - -2)\/2*24. Solve -3*k = -0*k - w + 15, -3*k = -4*w + x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -137 - -142. Solve -4 = u - b*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -8 + r + 10 - 2. Let z(c) = c**2 - 5. Let v(u) = -2*u**2 + 4. Let m(a) = 5*v(a) + 4*z(a). What is k(m(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 7583, 7466, 7353, 7244, 7139?\n\"Answer: 2*a**2 - 123*a + 7704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1473039797 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 5358 - 3662 = 0. What is t rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is aa6b3 (base 16) in base 5?\nAnswer: 134314120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1.5*-54619\nAnswer: -81928.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 4) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 * 111.161\nAnswer: 66.6966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/7  (b) -138.4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/15  (b) -1  (c) 4  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 146006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20137279741\/3484634196 + 30067\/219823. Let b = -47396 + 187830352\/3963. Let q = w + b. Calculate the common denominator of -119\/10 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 129483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 1733*m + 10396. What is q(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + (-3)\/(-1) + 0. Suppose 0*c - 4 = -y*c. Let i(r) = -c*r - 2 + 0 + 2. Let x(o) = o. Give i(x(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -126 - -128. Solve 4*g + r - 18 = 7, o*r - 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/17 in 3\/8, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4277291 + 1853548. Let l = 2423640.0169 + q. Let i = l - -103. Round i to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8.9?  (a) -4  (b) 0.4  (c) -8.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.15  (b) 6  (c) 3.9  (d) -3.92  (e) 2\/9  (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 71\/25 in -2\/17, 4, 33.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -59103500 rounded to the nearest 100000?\nAnswer: -59100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5795303*b**3 - 2360920*b**2.\nAnswer: 34771818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2500 - -17450\/7. What is the common denominator of 8\/4 + 47\/6 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*s**2 - 35*s - 4 + 2*s**3 - 5 + 5 + 2*s**4 - s**2 + 2 in the form b*s**4 + v*s**3 + m*s + w + y*s**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 40 + 1 + 13 + 16 + 0 + -29?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 5:47 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -472, -458, -418, -340, -212?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-5)\/y)\/y)\/y**(-13\/4)*(y**(-3))**31)**32 assuming y is positive.\nAnswer: y**(-3096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 49 and 34790.\nAnswer: 34790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 5*s**3 + s**2 - 3*s + 4. Determine y(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of -t**5\/20 + t**4\/3 + t**3 + 7*t**2\/2 - 3*t. What is the units digit of r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q + 2. Let k be (-3)\/(9\/(-6)) + 3. Suppose 8*j = k*j - 6. Let r be j\/((2\/(-1))\/2). What is s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 542.376 nanoseconds to minutes.\nAnswer: 0.0000000090396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 32*u = -10933. Suppose -n = -194 - u. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5694 - -8124. Let c = -1613 + a. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39\/104 - (-1562)\/16 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38 - 26 - 19) + (-1 - -2 - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/20*74 - 2. Let v = a - 113\/20. Let l = -8 - -8. Is l at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/57, 3, -0.3, 2 in increasing order.\nAnswer: -0.3, 2\/57, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2078, 4155, 6232, 8309, 10386?\nAnswer: 12463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*j - 7*j - 6*j)*(3 - 3 - j**2).\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 2:45 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3312 - -12?\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 35.71 - 40.5. Let v = j + -0.21. Which is the third biggest value?  (a) -1\/5  (b) v  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1082*s + 1073*s = -99. Let t(m) be the first derivative of s - 1\/5*m**2 + 4\/15*m**3 - 1\/10*m**4 + 0*m. Factor t(w).\nAnswer: -2*w*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = b + 4*b. Suppose -11*u + b*u = -396. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 18 = -3*q. Let c(j) = j + 15. What is the lowest common multiple of q and c(-10)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -35*h + 598. Let o be b(17). Suppose 2*l - 8 = s, -s + 3*s + 5*l - 20 = 0. Solve -u = -o - s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -199, -266, -333, -400?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5819, 46533, 157039, 372233, 727011, 1256269, 1994903, 2977809?\n\"Answer: 5816*p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 277 = -5*q - 3*c, 2*q + c - 2*c = -102. Let j = q - -61. Solve -j = 5*x + 4*z, 2*x + 4*z = -2*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*j + 11*j - 43*j to z + t*j and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 497743 is divided by 550?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o\/(o*o**(2\/19)))\/o*o**(3\/4))\/(o**(-2\/13))**(6\/23))**(3\/34) assuming o is positive.\nAnswer: o**(46689\/772616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (62 - (163 + -40)) + 67.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of d**4\/6 - 3*d. Let y(p) = -p. What is y(n(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of -21*u**5\/20 - u**4\/4 + 7*u**3\/2 + 3*u**2\/2 - 22*u. Factor f(m).\nAnswer: -3*(m - 1)*(m + 1)*(7*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 + -10. Suppose -4*r - 4*o + 16 = 0, l*r + 0*o - o = 4. Suppose -4*j + r*g = -42, 2*g - 23 = 3*j - 4*j. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 + 25*b - 17. Calculate the remainder when n(21) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -228, -29, 516, 1581, 3340?\nAnswer: 5967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j*v**5 - 256471*j + 13887*v**5 + 3*v wrt v.\nAnswer: 20*j*v**3 + 277740*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 12 = 5*t - 0*t, -3*m - t = 0. Let d be (3\/2)\/((-6)\/(-856)). Let v be d*m\/(-4)*2. Round v to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -110*p + 104*p + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of q**3\/3 + 31*q**2\/2 + 30*q - 322. Factor a(h).\nAnswer: (h + 1)*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129*d - 114*d - 3 - 141*d + 326*d.\nAnswer: -58*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 + 2451*v + 492030.\nAnswer: 3*(v + 355)*(v + 462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 AM and 9:30 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -482945*u**3 + 773751.\nAnswer: -1448835*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16174 is divided by 89?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/34 and 61\/30372.\nAnswer: 516324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5736398, 22, -2, -1 in descending order.\nAnswer: 22, -1, -2, -5736398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2657653*a**2*q - a**2 - 3*a + 15896 wrt q?\nAnswer: 2657653*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 0 + (sqrt(3) + 2*sqrt(3)*-6 + 1 - (sqrt(147) + (sqrt(147) - (1 + sqrt(147))) + sqrt(147) + 4 + sqrt(147)))*-4)**2.\nAnswer: 2560*sqrt(3) + 49252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 55 times 68.69\nAnswer: 3777.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bp when two letters picked without replacement from ppmppmppppmmppmmppb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22*2\/(-52) + 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4049265, -4049271, -4049281, -4049295?\n\"Answer: -2*u**2 - 4049263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5983 not equal to 6370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -71*q**2 - 152*q**2 - 44*q**2 - 159*q**2 + 93*q**2 to the form t*q**2 + u*q + d and give t.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + -2. Suppose -7*o + 9*o - 12 = x. Find the second derivative of 3*y**2 - 7*y + o*y + 0*y wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0206270204 rounded to four dps?\nAnswer: 0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19921 = 2*m - 14639. Does 54 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 - 6*d + 7. Suppose 0 = 17*s + 1273 - 253. Let w = s - -66. Calculate r(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 120 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2982, 5843, 8704, 11565, 14426?\nAnswer: 17287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 95 less than -0.862812399?\nAnswer: -95.862812399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 7 + 7 + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5}. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 5*z + 4205, 2*z + v = 5*z + 2533. What is z rounded to the nearest 10?\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + t**2 - 1. Let a(y) = -y**2 + 24*y - 143. Let v be a(13). What is h(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.77096903 rounded to 4 dps?\nAnswer: -0.771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 790064999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -9 + 6*p + 5*p**2 - 3*p**2 + 8*p**2. Let s(m) = m - 16. Let i be s(23). Let x(f) = -7*f**2 - 4*f + 6. Let c(y) = i*x(y) + 5*l(y). Calculate c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 272629756.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q - 9*q - 12 = g, 0 = -2*g - 3*q - 10. Which is the closest to 1?  (a) g  (b) 0  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -234 at most as big as -362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 20655 = -5*t - 287, -4*t + 16298 = 2*n. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 10*o - 590 = 0. Suppose -142*a = -183 + 941 - 3598. Calculate the remainder when o is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of 10368*q**5\/25 + 1908*q**4 + 12736*q**3\/5 + 5397*q**2\/10 - 294*q\/5 + 5394. Let p(n) = 0. Calculate n.\nAnswer: -7\/4, -2\/9, 1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -6*k + 2. Let x(o) = 3*o - 2. Let q(y) = 3*i(y) + 5*x(y). Let r be q(-1). Let u be ((-96)\/6)\/(r\/(-39)). What is u rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 378 + -377. What is the nearest to v in 0.3, 1, 3\/2, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 10 + 4*g + 131*g + 10.\nAnswer: 135*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -80 - -144. Let x = 8 - 15. Let y = 9 - x. What is the highest common factor of y and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*(p**(-12)\/p)\/p*p\/((p**(1\/28)*p)\/p) assuming p is positive.\nAnswer: p**(-337\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 431105 and 453.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -273*t**2 - 10*t + 8 + 136*t**2 + 136*t**2. Let r be ((-24)\/(-2))\/(6\/(-4)). Does 8 divide p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 137.98 - 140. Let k = c - -0.02. What is the smallest value in -1\/2, -1\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45194 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -328 divided by -164\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 + 53. Let v = w - 19. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -52355 and 0.2?\nAnswer: -10471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45123528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i - 10. Let l be d(-7). Let w be (-2)\/5 + (-154)\/30*l. Calculate the highest common divisor of w and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 5*w - 25. Suppose -25 = -w*y - 3*l + 1, -2*l - 16 = -5*y. Suppose -i + y = -0. Solve -i = -3*n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 5*t - 6066 - 4558, 2*t = -5*y + 26581. Suppose -c + 14*c = y. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*g - 88*g - 14057 = 81*g - 1577 for g.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 6 = -4*l, -4*l = -j + 15. Suppose 0 = -r - 2*r + j. Let q(b) = 7*b + 3. Let c be q(r). Solve 0 = 2*p - 0*p + c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -209.0216 - -0.0216. Let g = c - -208.7. What is the smallest value in 2, g, -3\/2, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 - 2 + 2*d**2 + 25.\nAnswer: 2*d**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 37082948713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 232258 is divided by 572.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 13193745 to the power of 1\/2, to the nearest integer?\nAnswer: 3632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 11:35 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8 - 408\/(-60))\/((-9)\/690). Which is smaller: y or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 51490 and 2710?\nAnswer: 51490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 2 = -2*z. What is the smallest common multiple of (0 + -2)\/((-51)\/255) and (2 - z)*-13*-1?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-6*-1*sqrt(243)*-5 - 1*(-3 + sqrt(243) + 0)).\nAnswer: -279*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -6*27\/(-6) - 3. Calculate the highest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1543360 divided by -1060?\nAnswer: -1456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41876.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -2. Let f be 10\/4 + ((-27)\/60)\/(27\/126). Which is the smallest value?  (a) -1  (b) k  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 15532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-8) + 18\/8. Let w(v) = -v + 6. Let r be w(0). Solve 3*p - 4*d + 3 = 0, -l*d = -2*p + r*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of -j**2 - 12*j + 6. Calculate the lowest common multiple of 9 and a(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47290140?\nAnswer: 2, 3, 5, 262723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12549*v - 12826*v - 3 + 3.\nAnswer: -277*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 12\/(12\/4) + -4. What is the closest to 0.07 in -1\/3, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/v**6))\/((v*v\/v**(1\/7))\/v)*(v**(1\/6)*v*v)\/(v*v*((v\/(v\/(v*v\/((v\/(v*v**6*v))\/v)*v)))\/v)\/v*v) assuming v is positive.\nAnswer: v**(-197\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 174599 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 126 + 102. Suppose 3*b = 3 - o. Let x = b + 129. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2775?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29*v**5 - 7*v + 7*v)*(0 - 1 - 1)*(-3 - 1 + 3).\nAnswer: 58*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -329*x + 1428 = -711*x + 261*x + 240*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1669905512?\nAnswer: 2, 11, 17, 101477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -110269*m**3 + 996064 wrt m.\nAnswer: -330807*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 - -16. Suppose 5 = 3*d + m*g, -9 = -5*d - 5*g + 6. Let k(n) = -n**2 + 5*n + 4. Let t be k(d). Calculate the highest common divisor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 144*j**3 + 56*j**3 + 14 - 53*j**3 to the form l*j + d + m*j**3 + x*j**2 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1425437 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -1. Let x = l - 5. Sort x, -2, 4 in increasing order.\nAnswer: -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of -r**4\/12 + r**3\/6 + 8*r**2 + 3*r. Let w be t(0). Let f = 15 - w. Let y(g) = -17*g. What is y(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 12:04 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -174 = -5*t + 256. Let y be (-2)\/(-13) - t\/78. Let k = 8\/13 + y. Do -6 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mff when three letters picked without replacement from {m: 1, f: 2, b: 2, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*t - 5. Let j be 4*t\/(-12) - -1. Solve 4*p - a = j*a - 19, -15 = 3*p - 3*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 - 7*u + 7. Let a be k(5). Let m be -150 + (2 - a\/(-3)). Is -1 - (0 + -1) - m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1\/2136 - -2845\/6408. Let i = 7 - 5. Let s be i\/8 - 2\/24. Which is the second smallest value?  (a) y  (b) s  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32*k*n**2*v - 6*k*n - 2*k*v + 6*k - 4*n**2*v - 2*n wrt n?\nAnswer: 64*k*v - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2\/4 - 162471*b\/4 + 162477\/2.\nAnswer: -3*(b - 2)*(b + 54159)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 675152 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 (base 10) in base 11?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -130 - -136. Let x(i) = 35*i - 194. What is the remainder when 92 is divided by x(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(2\/3))**(44\/5)*(w\/w**(2\/13))\/w**(-1\/2))**(-7\/3) assuming w is positive.\nAnswer: w**(-19691\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -2*t - 11. Let n(p) = -3*p - 16. Let w(h) = 8*g(h) - 5*n(h). Let a be w(-9). Let u(y) = y**2 - 3*y - 1. Let q be u(4). Solve 0 = -q*m + 11 + a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -19020, -74884, -167990, -298338?\n\"Answer: -18621*a**2 - a - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of -v**7\/2520 - v**6\/144 + 67*v**5\/720 - 29*v**4\/72 + 5*v**3\/6 - 117*v**2 + 1. Solve j(u) = 0.\nAnswer: -15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 151776 and 5148?\nAnswer: 21703968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 + 1)*(306 + 45*n**3 - 306) + 0*n**3 - 2*n**3 - n**3.\nAnswer: 87*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -214239 equal to -214231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*m**4 - 22*m**2 + 4 - 22*m**3 - 53*m + 15*m + 36*m = 0. Calculate m.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -98*d - 4. Let n(j) = -j - 1. Determine -4*n(v) + w(v).\nAnswer: -94*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -121, 0.3, 1\/5?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*k + 0*k + 3)*(k**2 - 4*k**2 + 5*k**2).\nAnswer: 4*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -283, -1088, -2379, -4120, -6275, -8808, -11683?\n\"Answer: 6*i**3 - 279*i**2 - 10*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + 4*i**2 - 6*i - 11. Let q be c(6). Let s = q + -313. Which is smaller: s or 4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6150, -6130, -6118, -6114, -6118, -6130, -6150?\nAnswer: -6178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7\/3 + (-1)\/3. Let u(i) = -5*i - 14. Let o be u(-7). Suppose 5*t = -w + 4 + 5, -t + o = 5*w. Solve -3*d + w*p = -3, -g*p = d - 3*d + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4374 and 3.\nAnswer: 4374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + n - 10 = 0, -2*z + 7 = -6*n - 5. Find the second derivative of -14*y - z*y**3 + 25*y - y**2 + 3*y**2 - 176*y wrt y.\nAnswer: -54*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24725.03 * 9\nAnswer: 222525.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -8 - (-43 + 46)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o**3 + 70*o**2 + 215*o - 137. Give s(-31).\nAnswer: 886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of -u**3\/3 - 3*u**2\/2 - 8*u - 289. Calculate j(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 7*f - 8. Let z = -5789\/234 + 292\/13. Calculate the common denominator of z and (-453)\/30 - (-4 + f).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2703974?\nAnswer: 2, 7, 13, 83, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6051384 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15662 - -39580. List the prime factors of l.\nAnswer: 2, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0460322224 to three decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -5*j + 2, -3*b + j + 0*j + 11 = 0. Let m = 3 + -3. Let d = b - m. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -0.1  (b) 2\/9  (c) 182  (d) -1\/12  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -123*g**3 + 11*g**2 + 4*g - 4. Let l(c) = 246*c**3 - 22*c**2 - 7*c + 7. Calculate -7*j(r) - 4*l(r).\nAnswer: -123*r**3 + 11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 23 - 23 - 4*u - u + 1 - 1 + (-3 + 3*u + 3)*(4 + 1 - 6) - 2*u - 1 + 1 + (2 + 0 - 3)*(-4*u + 3*u + 3*u) - 3*u + 6*u - 4*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - 0. Suppose y = -0*q + 2*q - 26. Calculate the highest common factor of q and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(25)*-2 - sqrt(25))*-5)\/(sqrt(720)*2) + sqrt(20)*2*3*1)**2.\nAnswer: -505*sqrt(5)\/4 + 52605\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -3*i + 13. Let n(s) = -s + 7. Calculate -5*n(j) + 3*u(j).\nAnswer: -4*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2326*m - 3 - 744*m - 761*m - 777*m.\nAnswer: 44*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = m - 3*i, -2*m - m = 5*i + 17. What is the units digit of ((-10)\/4)\/((-4)\/(-8) - m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/35, -3, -20, -5, -0.3, -0.4 in increasing order.\nAnswer: -20, -5, -3, -0.4, -0.3, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31253 + 31253 + 614*f)*(1 + 1 + 1)*(-1 + 3 + 0)*(-4 + 3 + 2).\nAnswer: 3684*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36133590 and 380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 80 = m - 7*u, 3*m - 170 = -5*u. What is the greatest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23689?\nAnswer: 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 5 = -2*i, 3*i - 5*i = 3*c - 13. Suppose 3*k = f - 49, -3*k + 86 = 2*f - c. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 - (-22 + 182 + -24 + 12).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 99, 563, 1437, 2721, 4415?\n\"Answer: 205*v**2 - 151*v + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4*z = -4*n + 14, -4*z = -4. Let t(u) = -4*u - 48. Calculate the smallest common multiple of t(-14) and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 25, -10 in descending order.\nAnswer: 25, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1320862, 1320867, 1320862, 1320841, 1320798, 1320727, 1320622, 1320477?\n\"Answer: -c**3 + c**2 + 9*c + 1320853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 77280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1064 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w**3 + 2*w**3 + 3*w**3 + (-4*w**3 + 7*w - 7*w)*(1 - 1 - 1).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3110069107 to the nearest integer?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/10)\/a**11)\/(a**3\/(a**2*a*a*a)) assuming a is positive.\nAnswer: a**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(11)*-3)**2*3.\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 6*m + 11. Let r(c) = -c - 3 + 5 - 1 + c**2. Let u(i) = f(i) + 6*r(i). Differentiate u(a) with respect to a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 44\/7 and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4.74033 and 0.02.\nAnswer: 0.0948066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4176 = -934*t + 940*t. Calculate the smallest common multiple of 108 and t.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-2\/13))**(-18)*(h\/h**(-1\/3))**(41\/3) assuming h is positive.\nAnswer: h**(350\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1)*c)**(-18\/11)\/((c\/c**0)\/c*c)**(-4\/9) assuming c is positive.\nAnswer: c**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12.86121 kilometers to micrometers.\nAnswer: 12861210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 100 = -9*o. Suppose -l + 3*l = 5*k - o, -5*l + 20 = 5*k. Solve -k = r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of -n - 1\/48*n**4 + 2 + 1\/12*n**3 - 1\/8*n**2. Let h(t) be the first derivative of c(t). Factor h(b).\nAnswer: -(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 91348103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 83048167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(1008) + sqrt(1008)*2) + sqrt(1008))*3 + ((sqrt(1008) - ((sqrt(1008) - -2*sqrt(1008)) + -3)) + -5)**2.\nAnswer: 456*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -771, -740, -693, -636, -575?\n\"Answer: -p**3 + 14*p**2 - 4*p - 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1217.34 - -1218. Is 4 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2754517ml to litres.\nAnswer: 0.0002754517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1422213, 1422215, 1422217, 1422219, 1422221?\n\"Answer: 2*b + 1422211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 6 = -2. Calculate the least common multiple of 10 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16 + 13)*((-5)\/6 + 1). What is the biggest value in p, 2, 22\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 643, 1423, 2501, 4027, 6151?\n\"Answer: 25*c**3 - c**2 + 608*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -21210210233 (base 4) to base 5\nAnswer: -1120242403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 223 + -125. Let q = a - 60. Is q < 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-13662)\/(-528) - (-2)\/16. Calculate the greatest common divisor of 1534 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of k**6\/80 + 31*k**5\/120 - 5*k**4\/12 + 83*k. Let y(z) be the third derivative of p(z). Differentiate y(q) wrt q.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (41 - (2 + -42)) + -45.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -15*u + 557. Let s(h) = -7*h. Calculate s(x(r)).\nAnswer: 105*r - 3899","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.4+202\nAnswer: 201.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-134)\/3)\/((-2)\/(-300)). Round o to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 j when four letters picked without replacement from hdrjhrpm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - -124?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23 * 0.09.\nAnswer: -2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (-9)\/6*(-1552)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2156320 to the nearest 10000.\nAnswer: -2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -501035 (base 11) in base 6?\nAnswer: -25142212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - v = -25. Let q be 12 + -6 - (-38)\/(-7). Sort -1, v, q, -1\/3 in ascending order.\nAnswer: v, -1, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17204528 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h + 784 = -4*h + 357. Solve 0 = -k + 65 - h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 + -1)\/(1\/1). Let p be (78\/(-9) + 9)\/((-1)\/24). Let f be (-21)\/(-14)*p\/(-140). Put f, -1\/8, k in descending order.\nAnswer: f, -1\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 0*s = 4*l + 51, 3*s + 37 = -4*l. Let t = s - -3. Let w be (8\/2)\/(t - -5). Solve 3*n = n - w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9923.\nAnswer: 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3706 and 763.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 + 15 - 39 + 19*k - 60.\nAnswer: 19*k - 106","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 7*u**3 - 2*u**2 + 2*u + 1. Let v be p(2). Calculate the common denominator of 1\/6*v\/3 and -70 + 33 - -43 - (297\/12 - 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1.3, -73 in increasing order.\nAnswer: -73, -1, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y - 2. Let w(i) = -6*i + 3. What is -g(c) - w(c)?\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/(-3))\/(2\/(-63)). Let g = -219 + 209. Let n be 1\/(-4 - t\/g). Let z(j) = -j**3 + 3*j**2 + 6*j + 7. Determine z(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8\/21, -0.5, 3\/4, 2\/7?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 26 + 3 + -19 + 4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 9, v: 2, n: 3, j: 2, b: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 - -87870163455346?\nAnswer: 87870163455346.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*m - 2 + 2 - 44*m + 33*m - 72*m.\nAnswer: -137*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17770 is divided by 101?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 + 12*d - 6. Let u(v) = -12*v + 5. Let n(s) = -2*r(s) - 3*u(s). Is 2 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u**3 + 13*u**2 + u + u**3 - 13*u**2 to the form l*u**3 + z + b*u + m*u**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.928415 minutes?\nAnswer: 55704.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 5*h**2 + 2. Let u(a) = 27*a**2 + 11. Let z(n) = 22*j(n) - 4*u(n). Let p(r) = 18*r. Determine z(p(o)).\nAnswer: 648*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 5*w = 10, 2*w + 10 = -2*o + 3*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 5:49 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4295107 - 214.6238?\nAnswer: -4295321.6238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(-13)*10\/10. Sort 0.1, 3, x in decreasing order.\nAnswer: 3, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1803 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 2*d - 4*k - 210, k - 126 = -3*d. Let q = -363 + 258. Let p = -99 - q. Calculate the greatest common factor of p and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17)\/7 - 9\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18820 and 16938?\nAnswer: 169380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -36440 by -14851.\nAnswer: 36440\/14851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16555\/3 or -5519?\nAnswer: -5519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 457465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 869001 is divided by 2998.\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(4\/7))**(2\/109)\/((w**(-5)\/w)\/w)**(-3\/14))**(1\/77) assuming w is positive.\nAnswer: w**(-2273\/117502)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*a + 94*a - 1 - 17*a.\nAnswer: 120*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 133 = 5*m, -m + 2*r + 25 = r. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4921?\nAnswer: 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 + 4*s**2 + 41*s + 21. Determine o(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00823 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -153*0.21\nAnswer: -32.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*w - 1. Suppose 4*f + r - w = 0, 5*r = -3*f - 6 - 5. Suppose 2*j = -a + 6, -a = -2*j + 2*a + 14. Solve -z - 4 = z - f*v, -j*z = -3*v + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-16)\/4 + -45*(-243 - -10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 236406672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 69, 5, 2 in decreasing order.\nAnswer: 69, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -82, 5 in descending order.\nAnswer: 5, -2, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2109004 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 700231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101110 + 110001111?\nAnswer: 101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 301 - 132. Let q(k) = -k**3 + 4*k**2 + 90*k - 455. Let b be q(6). What is the greatest common divisor of x and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60882, -60959, -61000, -60987, -60902, -60727, -60444?\nAnswer: -60035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 32031743*d**6 - 57422447*d**2 wrt d.\nAnswer: 3843809160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*837\/(-3402) + 2\/(-12)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 5, 2*f - 2*q - 18 = 0. Let i(h) = -f*h - 3*h**2 - 4 + 9 + 4*h**2. Let j be i(4). Solve 0 = -2*a + 6, 4*a - 4 + 17 = j*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2835255, 2835240, 2835225, 2835210, 2835195, 2835180?\nAnswer: 2835165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10692.66418 - -265.13612. Let p = q + -10957. Let l = 0.8 - p. Round l to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 + 2 - (-7055)\/3735)*18\/(-4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and 0.048961502.\nAnswer: -0.0146884506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -6*2*(-4)\/(-8). Let a be t\/(-4)*(-80)\/(-24). Suppose 2*i + 14 = 2*g, -4*i + a*g = -i + 29. Let z(k) = k**2 + 3*k - 2. What is z(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -4 + 5 - 4. Let a(z) = z + 0*z + 1 + 2*z - 4*z. Let w(o) = -a(o) - g(o). Differentiate w(s) wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a + 3*a - 4*a)*(-2*a**2 + 6*a**3 + 2*a**2) + (0 - 2*a + 0)*(-a**3 - 1 + 1) in the form y + m*a**4 + g*a**2 + k*a + h*a**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12393 - -12392. Sort -44, z, 1, 4.\nAnswer: -44, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 PM and 3:38 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/4)*u)**(-2\/9)\/(u**(-12))**(-2\/7) assuming u is positive.\nAnswer: u**(-151\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eepqyqeqqyqueeppqq. What is prob of sequence qpqu?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 11181 times -510?\nAnswer: -5702310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/7*0\/(-115)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccstts. Give prob of picking 2 t and 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2. Let f(q) = -q**2 - 4*q. Determine f(v) - 2*m(v).\nAnswer: v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -368 - -3?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19783 - -43016. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3866 + 3869. Sort 1\/8, g, 4\/43, 0.5, -1 in increasing order.\nAnswer: -1, 4\/43, 1\/8, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 244151012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -133*o**2 + 15*o + 99. Give q(-4).\nAnswer: -2089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.04 - -2.03999976. Round k to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - ((-1 - -2) + -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13224 is divided by 1666.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 10 and -1296.\nAnswer: -1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 382142.\nAnswer: 2, 191071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -21*r - 1. Let u(c) = 54*c + 6. Let k(l) = -5*i(l) - 2*u(l). Determine k(10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2*(-12)\/16)\/(7\/(-7910)). Let z = y - 606. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -152 + 224. Let v = 142 - z. Is 68 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 4*l = 10. What is the highest common factor of 40 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 170861087.\nAnswer: 1303, 131129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 550 divided by 50\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -45*a**2 + 38*a + 1. Let v(k) = -85*k**2 + 74*k + 2. Give -7*s(y) + 4*v(y).\nAnswer: -25*y**2 + 30*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11868616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-140)\/(-60))\/(3\/(-9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 36254 or 36251?\nAnswer: 36254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(2 + -3) + 0. Let f(c) = 3*c**2 + c + 1. Let y be f(b). Suppose h - y = 4. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/13 + 142*w\/13 - 140\/13.\nAnswer: -2*(w - 70)*(w - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.04  (b) 1621  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.08 in -1\/5, 1, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/5  (b) 4  (c) 0.43  (d) -51\/19  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2963420*o**3 + 3 - 2*o**4 - 1488*o + o**4 - 2963418*o**3 to the form t*o**2 + z*o**4 + n*o**3 + m + i*o and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3597 + -1520. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 468, -19, -884, -2121, -3724, -5687, -8004, -10669?\n\"Answer: j**3 - 195*j**2 + 91*j + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 7, 14, 23, 34?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 + 23. Let b = o + -34. Which is smaller: 14\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**4 + 1132*y**3 = 0. What is y?\nAnswer: 0, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -4. Solve 3*b + w = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 4*s**3 - 2*s**2 - 2*s. Let f(u) = 3*u**3 - 3*u**2 - 3*u + 1. Let h = -65 - -63. What is h*f(w) + 3*k(w)?\nAnswer: 6*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -204 - 68545?\nAnswer: -68750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 1702*a - 15288. Calculate the lowest common multiple of 84 and t(9).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2011111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 518609264*w**3 - 252860524.\nAnswer: 1555827792*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 - (4 - 3)\/1. Suppose c*s + 2*s - 108 = 0. What is the remainder when s is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/2 and 4\/62599.\nAnswer: 125198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-47*c - 13*c - 7*c)*(98 + 19 - 24)*(6 - 3 - 1) to the form w*c + m and give w.\nAnswer: -12462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**16\/m)\/(m*m\/(m\/m**(2\/23))))**(2\/7) assuming m is positive.\nAnswer: m**(640\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2 - 3 + 6 - 46*i. Let q be p(-1). Suppose -q - 1 = -4*l. What is the smallest common multiple of l and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 2\/13  (c) -3  (d) -580  (e) 1.4  (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 0) + -20 + 22 + -14 - 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 502 is divided by 170?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -12*l**2 - l - 1. Let k be g(-1). Let q be 8\/23*(-3)\/k. Let f = 43.4 - 43. What is the second biggest value in f, q, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2925*w**3 + 6*w**2 - 3*w - 2774. Let n(h) = 5854*h**3 + 10*h**2 - 5*h - 5545. Let z(d) = -3*n(d) + 5*x(d). Differentiate z(o) wrt o.\nAnswer: -8811*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or 0.20369881?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833) - -6*(sqrt(833) + 1) - ((sqrt(833) - (1 + sqrt(833)*-1)) + sqrt(833)))**2.\nAnswer: 392*sqrt(17) + 13377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 168142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3 + (-9)\/3 + -1 - -91?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 15 + 17 - 6 - 7*k - 10*k. Let u(g) = -69*g + 105. Let f(t) = 4*u(t) - 15*x(t). What is the derivative of f(d) wrt d?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*n + 2\/7*n**2 + 0.\nAnswer: 2*n*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*z = -98*z + 30 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 120\/210 - 20\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 PM and 12:43 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - 2. Let m = -1.1 + 8.1. Let r = m - 12. What is the biggest value in n, 2\/3, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30757?\nAnswer: 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 - 16. Let u be 0*2*s\/(-24). Solve 5*d + 6 - 21 = u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 17579*y**3 - 8*y**2 + 6*y + 16. Let p be b(8). Round p to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 + 297*r**2 + 1222*r - 5204. What is a(301)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 2*d - 4. Let p = 12 - 17. Let y = -8 - p. Determine s(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + 12200120122112010?\nAnswer: 12200120122112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (33 - 33 - 3*i**3)*(-6 - 6*i + 6) to the form s*i + l*i**3 + j + r*i**2 + y*i**4 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mij. What is prob of sequence jim?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -193\/2 + 387\/4. What is the third smallest value in w, 40, 0.3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s + 5. Let j be 2 - -5 - (4 + -1). Let x be h(j). Differentiate -2*r - r - r - x wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.46137925 to one dp.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 - 125*k + 943. Calculate the smallest common multiple of s(117) and 868.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10584653 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + 13 - ((20 - -27) + -7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8454 = -84*y + 5406. What is the greatest common divisor of y and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z - 2. Let t be y(6). Suppose t = -3*m - 2*m, 15 = 3*b - 3*m. What are the prime factors of (-31)\/(1\/(-6)*b)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 95888 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*n = -24 - 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -130, -4, 125 in ascending order.\nAnswer: -130, -4, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of -1\/60*o**4 + 17\/30*o**3 + 9\/5*o**2 + 0 + 108*o. Factor m(b).\nAnswer: -(b - 18)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -0.022, 0.29, 4\/3 in decreasing order.\nAnswer: 4\/3, 0.29, -0.022, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -30.8605 and -0.1.\nAnswer: 3.08605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36573279 is divided by 1219107?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*x - 9*x = -3*c - 7, 2 = x - c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1441626*t**4 + 1443503*t**2.\nAnswer: 34599024*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 10:11 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139*u = 151*u - 180. Solve 2*k + 5*z - 2 = 4, 5*k - u = -5*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100611 (base 7) in base 12?\nAnswer: 9a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-326 - -178)*3\/12\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 156 and 776672.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + 13*q - 30. Let y be p(-15). Let w(r) = r**2 - r - 10. Determine w(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1992, -4048, -6172, -8364, -10624, -12952, -15348?\n\"Answer: -34*u**2 - 1954*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*b**2*n**6 + 98376*b**2*n**4 - 5*b**2*n**2 - 3*b*n**2 - b - 914*n wrt n.\nAnswer: 360*b**2*n**3 + 2361024*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 94 + 41. What is the remainder when 178 is divided by q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 20*t - 45. Let y(s) = -29*s + 46. Give -4*m(j) - 3*y(j).\nAnswer: 7*j + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.58 * -0.06275.\nAnswer: -0.036395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*l**2 - 20*l**3 - 3*l**3 - 9*l**2 + (l**3 + l**3 + l**3)*(4 - 6 - 4).\nAnswer: -41*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - -2. Let f(a) = -a**2 + 7*a - 5. Let z be f(5). Let n = 7 - z. Is n less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000032606 to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1066 and 1838148?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 6*q = q - 118, 4*d = 4*q + 116. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22.07 - -21.97. Which is the nearest to -11?  (a) 0.5  (b) o  (c) -1\/9  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k + 43. Let m(z) = 2*z. Calculate t(m(i)).\nAnswer: 4*i + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1174350 is divided by 2639?\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5742690 and 213.\nAnswer: 407730990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 - 12*r**2 + 17*r - 21. Let j be p(11). What is the greatest common factor of 36 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4347 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*o**6 + 154725287*o**4 + 89236*o**2 - 2809?\nAnswer: -240*o**3 + 3713406888*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, m: 15}. What is prob of picking 1 t and 1 m?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - 1. Let n = 1.9 + o. Sort 5, n, 0.4.\nAnswer: n, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3*f = -0*c - 1275, -5*c + f = -3179. Let v be c\/72 + 2\/12. Suppose -2*b = -15 - v. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19 - -19. Let p = 6 + y. What is the second derivative of -a**2 + p*a - 5 + 3 + 2 wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2 + 3)*(-3 + 3 - 1)*(1443*c - 1443*c - 225*c**4) as o*c**3 + j*c + r + f*c**4 + m*c**2 and give f.\nAnswer: 1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 504805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f**3 + 29901*f**2 + 32463*f wrt f.\nAnswer: 12*f + 59802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*q - 72 = 5*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 688, 1, 5 in descending order.\nAnswer: 688, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -7*f - 37. What is l(34)?\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 3*x - 4 = -s, s - 5*x - 8 = 0. What is the common denominator of (35\/6)\/(s\/(-3)) and 1012\/(-2208) - 4\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*x - 11*x + 25*x - 10*x - 5*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of w**6\/5 + 7*w**5\/5 + 635*w**4\/4 + 977*w. What is the third derivative of y(m) wrt m?\nAnswer: 144*m + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199803391?\nAnswer: 199803391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-10))\/((3\/1)\/(-3)*4180\/950)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbpinppiipptbbpbt. Give prob of picking 1 b and 1 t.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**3 + 3325*h**2 - 529795*h + 2566475.\nAnswer: -5*(h - 409)*(h - 251)*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19254\/(-5)*(750\/45 - 20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24633 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-2))\/((-52126)\/78189)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 2*h - 12 = 11, -8 = -2*q + 2*h. Solve 6*w - q = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-52*i**2 + 88*i**2 - 88*i**2)*(0 + 1 - 53*i + 48*i).\nAnswer: 260*i**3 - 52*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (229\/(-2061))\/(1\/(-18)). Let u(c) = 7*c - 3. Let m(g) = -8*g + 4. Determine y*m(q) + 3*u(q).\nAnswer: 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*z + 3*t, -5*z - t = -2*t + 4. Let a = -20\/9 - -136\/45. Factor 0 - a*p**4 + 1\/5*p**2 + 3\/5*p**3 + z*p.\nAnswer: -p**2*(p - 1)*(4*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p*p**(-5\/4)*p*p*p**(-2\/3) assuming p is positive.\nAnswer: p**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0)*(-3*v + v + v) + (-1 + 0 + 0)*(9*v + 9 - 9).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - 16. Let v = -24 - t. Let n(o) = o**2 - 2*o - 7. Let x be n(5). Solve -3*d + 20 = -2*a, 5*d + v*a - x + 0 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6634*h + 6639*h + 18 + 7.\nAnswer: 5*h + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.3 - 0.4. Let u = -0.0709 + 3.0709. Let l = -0.18 + 2.18. Which is the closest to r?  (a) u  (b) l  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -23267*x**5 - 224*x**2 - 6*x + 2 wrt x?\nAnswer: -1396020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -133562 divided by -75\nAnswer: 133562\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 82867, 166062, 249257, 332452, 415647, 498842?\n\"Answer: 83195*t - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.02, 1\/4, -17.2, -188\/13, 5, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 107 - 41. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/15)\/1*75\/(-175)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/12, -4, 5, 1.7, 1 in decreasing order.\nAnswer: 5, 1.7, 1, 1\/12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8780*c**3\/7 - 342428*c**2\/7 - 650032*c\/7 - 592\/7 = 0. What is c?\nAnswer: -37, -2, -2\/2195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13 + 2021131131?\nAnswer: 2021131112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3130012 (base 7) in base 5?\nAnswer: 44030331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9643851 divided by 1071539.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0139526123 rounded to five decimal places?\nAnswer: 0.01395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38231\/17 + -2249. What is the third biggest value in 4, -1\/4, d, 1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 46*r**2 + 13*r - 64. Let d(g) = 47*g**2 + 13*g - 62. Let b(i) = -3*d(i) + 4*n(i). Does 18 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 161*p = -616, -34*z + 67*z - 36*z = -p + 17 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -153169 divided by -52.\nAnswer: 153169\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3249\/3762*(-15 - 1)*90\/120.\nAnswer: -114\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 17 = j - 4*j, -2*t = 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -242120 divided by 48424?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5.9858 or 1344?\nAnswer: 5.9858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1867169 is divided by 1226?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sslil. What is prob of sequence si?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 + 210 = -28*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 332*i - 9 = 335*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from lpkpxk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 2*r + 22 = 7*r, -2*g = 9*r - 47 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -859\/15847?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22 by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (345\/18)\/(-5)*(1476\/6)\/(-41).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = y + 4*b, -2*b + 45 = 22*y - 19*y. Let m(n) = -n**2 + 22*n - 35. Calculate m(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r - 3. Let z(i) = 0 - 2*i + 6 + 3*i. Let u be z(-5). Suppose 4*s + 2*q = 4, 0 = -3*s - 0*s + q + 13. Let l(c) = -c + 1. Determine s*l(n) + u*f(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 259441275?\nAnswer: 3, 5, 199, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 11:03 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-7)*6\/(6\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((4*(sqrt(272)*-1 + 0))**2 + 5 - ((3 + (-1 + sqrt(272))*-3)*-3)**2).\nAnswer: -17999 + 1296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -o + 4, -7 = 4*r - 2*o + 3. Let a = r - -27. Let g = 128 + a. What are the prime factors of g?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208 = 2*z + 2*m, 3*z - 256 - 46 = -m. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**(1\/4)\/x))\/x)**(-20\/7)*x*x*x**(-2\/9)\/x*x*x*x**3*x assuming x is positive.\nAnswer: x**(292\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*c**2 - 85*c**3 - 28*c**2 + 83*c**3 - 41*c**2 + 78*c**2.\nAnswer: -2*c**3 - 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4366 - -469\nAnswer: -3897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -15765.2 to the nearest 10.\nAnswer: -15770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -107*v + 1171. Give g(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of -22*k + 41*k + 72 + 30*k**5 - 47*k. Find the first derivative of x(l) wrt l.\nAnswer: 600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 27, 54, 81?\n\"Answer: 27*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13484513, 0.2, 15?\nAnswer: -2\/13484513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, -900, -9, 48, 4, 5 in decreasing order.\nAnswer: 48, 5, 4, 3, -2, -9, -900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 4004435?\nAnswer: -4004432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*f - g - g + 5, -5*f + 2*g = 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 + 24 - (6 + 11 - -4) - -10.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 + 6*a + 2. Let i be l(7). Let c = -2 - i. What is the remainder when 8 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1362 less than 0.1?\nAnswer: 1362.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3651529857 to the nearest integer?\nAnswer: 60428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.01917 * -0.257\nAnswer: 0.00492669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19434845 and 0.05.\nAnswer: -971742.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 5*r = 35, 4*g - 2*g - 18 = -3*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -602*y + 5540. Give w(13).\nAnswer: -2286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - 101000100?\nAnswer: -101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(1377) + sqrt(1377) + -4*(sqrt(1377) - (sqrt(1377) - (sqrt(1377) + 2*sqrt(1377)))) + sqrt(1377) - (-5 + (sqrt(1377) - 1*sqrt(1377)))) + 0)**2.\nAnswer: -7290*sqrt(17) + 1004058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -171*72361\nAnswer: -12373731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*t**6 - 358*t**4 + 8733*t**2 wrt t.\nAnswer: -720*t**3 - 8592*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*(-34)\/(6188\/130)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 571, 0, -1, 19, -141 in ascending order.\nAnswer: -141, -1, 0, 4, 19, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -252900197*m**3 + 435927241 wrt m?\nAnswer: -758700591*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g + 3*g**2 - 8*g - g**2.\nAnswer: 2*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(891) + 1))**2.\nAnswer: 288*sqrt(11) + 14272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 12 + -13 - (-94 - (0 - (-20 - -1)))\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjg when three letters picked without replacement from xhjxjjxjgjggzhh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and (-12)\/10*(-40)\/6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 51 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/27)\/(20\/12 - 2). What is the nearest to h in -3\/4, 1, 1\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 3*b**3 + 4515*b**2 + 1696509*b - 1701027 = 0.\nAnswer: -753, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by -99235.\nAnswer: -2\/19847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-14)\/(-4) - 1\/2. Suppose 5*n - 4*j = 8, -4*n + 0*j + 2*j + 4 = 0. Suppose -201 = -y*s - n*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 382*s**6 + 78*s**2 - 3*s wrt s.\nAnswer: 45840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -9056*b - 253573. Determine r(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 13*z**2 + 11. Calculate b(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2034 + 2064. What is the least common multiple of s and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27986243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 5.4157217\nAnswer: 1.08314434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -4*c**3 - 25*c**2 - 6. Suppose 572 = 135*y - 238. Let i(t) = -3*t**3 - 24*t**2 - 5. What is y*i(h) - 5*x(h)?\nAnswer: 2*h**3 - 19*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-322)\/184)\/(1\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 11*h**2 + 9*h + 8. Let a be q(12). Suppose 2*y - 7*y = -a. Let z = y - 0. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 2 = 5*d. Let c(f) = 3*f**2 + f. Let u(o) be the first derivative of o**3\/3 + 3813. Determine d*c(j) + 2*u(j).\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29, 15, -13, -61, -135?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 189\/(-56)*6 + (1755\/270)\/(4\/8)?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -w**2 + 2161*w + 9465?\nAnswer: -2*w + 2161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 78650297.\nAnswer: 7865029.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15142 and 100.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -87.\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1430122332 + -22?\nAnswer: -1430122404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, o: 5, y: 3, f: 5, b: 3, w: 1}. What is prob of sequence towb?\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p = 8*p + 40. Let y be 10\/14*(6 + 272\/p). What is the second biggest value in -9, y, -3\/7, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17035 is divided by 649.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/26904 and 13\/30?\nAnswer: 134520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25.35817 - 25446881.35817. Let y = -25446752.99977 - d. Let n = y - 103. What is n rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8.6 + 9. What is the third smallest value in -1, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 49*x + 100*x**3 - 17*x**2 + 22*x**2 - 7*x**2 wrt x.\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1585)\/634)\/(1\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145*y - 188 = -206*y + 163. Is -1\/10799 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6880964?\nAnswer: 2, 19, 37, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8 - -40c86?\nAnswer: 40c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -37 - -55. Suppose d - 5*d = 4, 2*h = 3*d + 21. Calculate the highest common divisor of h and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - 2*v**2 + 3*v**2 - 6 + (-7*v + 1 - 1)*(v + 2*v - 5*v) to w*v**2 + u + k*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-3))\/((-1)\/3). Let n = o + 2. Suppose 8*q + 15 = 3*q, 0 = 5*r - 3*q - 34. Solve -3*v - r = n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m + 4*m - 2*m)*(7 - 2 - 12) + 0*m - 4*m + 2*m.\nAnswer: -37*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 3\/4, 1\/11, 8318.665?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/18*(1936\/(-4840))\/(2\/(-3))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 + 4*m**2 - 6*m + 5. Let f be t(5). Let r = -26 - f. Suppose -3*k = -k - r. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 5*a - 2, 10 = 5*t + 4*a - 2*a. Suppose 3*z = -2 + 17, -2*s = t*z - 1646. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 53745 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 108948, 110486, 112024, 113562, 115100?\nAnswer: 116638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - -1. Suppose b*j - 30 = -a, -5*a - 7 = -j - 73. Let r(h) = 6*h**2 + 2*h - 1. Let s be r(1). Calculate the greatest common factor of a and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3543 - -3544. Which is the closest to n?  (a) 0  (b) -24\/5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -265759 (base 12) to base 7.\nAnswer: -5240655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 - 14*d**2 - 26*d + 24. List the prime factors of t(-14).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37756 + 184474 = -2717*u for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1301*m - 600*m + 47837 = 220828 for m.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -537*j**3 - 697*j**3 + 3 + 4*j**2 - 3 - 5*j.\nAnswer: -1234*j**3 + 4*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 602*w**2 + 826*w**2 + 1801*w - 2550*w wrt w.\nAnswer: 2856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7275 and 14065?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.26601 times 0.2\nAnswer: 0.053202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 549\/305*10\/(-12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -240510*a + 481019*a - 5*a**2 + 2*a**2 - 240509*a - 4*a**2 + 3*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-49)\/(-14))\/(2\/(-4)). Let p = -13 - j. Let i(u) = 8*u**3 - 2*u**2 + 2*u - 6. Let b(q) = -17*q**3 + 4*q**2 - 4*q + 13. Calculate p*b(a) - 13*i(a).\nAnswer: -2*a**3 + 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -6*y**3 - 64*y**2 - 78*y + 106. Give c(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4141502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - (-1)\/(-2)*4. Let j(a) = a + t*a**2 - 3 + 4*a + a**2. Calculate j(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -87792 + 5?\nAnswer: -8778a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 5*w + 59. Let b be y(-10). Suppose 0 = -12*f + b*f - 3, -5*a + 35 = 5*f. Find u such that 2*u**2 - a*u**2 + 7*u**2 - 3*u = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -34*t - 186. What is z(-3)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -5006*i + 2192. Let v(g) = 10024*g - 4381. Let r(m) = 5*d(m) + 2*v(m). Differentiate r(o) wrt o.\nAnswer: -4982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -2  (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5156059309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -97070959\/2816073 - -54578\/1469. Let k = -4698193\/174447 + g. Let o = k + -1\/1092. Calculate the common denominator of 39\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (55*q - 18*q + 60*q)*(-4 + 0 + 3 + (4 + 1 - 4)*(-1 - 1 + 0) + 1 + 1 - 1).\nAnswer: -194*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that g**4\/4 - 7*g**3\/4 - g**2\/4 + 7*g\/4 = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -508*x**3 - 7*x**2 + 7*x - 7. Let q(v) = 253*v**3 + 3*v**2 - 3*v + 3. What is -3*p(m) - 7*q(m)?\nAnswer: -247*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -34*u - 1. Let j = 2 + 10. Suppose -3*o = 27 - j. Is z(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 - 2*h + 2. Calculate the remainder when (31 - (2 + -4)) + 0 is divided by i(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 295993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, 7, -7, -5, -1, -274?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*l + 299 = 209 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(704)*2 - (-3 + sqrt(11)*-1)**2.\nAnswer: -20 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60) + sqrt(60)*1)*-3)\/sqrt(12).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -115*x + 203*x + 65*x + 227*x to l + r*x and give r.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 PM and 8:49 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 + 6. Let q = -72 - -82. Let x = q + -9.8. Which is the second smallest value?  (a) 0  (b) x  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78.4519 less than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 + w. Let y be v(-1). Let m(j) be the second derivative of -5*j**3\/3 + 3*j**2\/2 - 3*j. What are the prime factors of m(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 302*l + 4421 = 797 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -2.1. Let s = 0.3 - -2.7. Let q be ((3\/(-8))\/(63\/42))\/(18\/(-16)). Which is the closest to q?  (a) -1  (b) s  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - w)*(-2 + 0 + 0)*(-9128*w + 60638 - 60638).\nAnswer: -18256*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = 3*r - y, -4*r - 60 + 11 = -3*y - 150 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33.38 - 34. Let o = q - -5.62. Let x = -0.2 + 0.2. Which is the second smallest value?  (a) x  (b) 0.4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -246  (b) -1  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 7 = 4*k + 5, 2*k + 9 = 3*g. Suppose k = 5*v - 7*v + 78. Let x = -3 + v. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14838 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.23 and -211797?\nAnswer: 211797.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z - 3. Let l be p(-9). Let i be 1 + 2 + l - 1. Let q(j) = -24999*j**2 - 7*j - 8. Let d be q(i). What is d rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5\/4)\/((-3)\/(-132)). Suppose 2*v - a = -3*r - 0*v, 4*v - 35 = -r. Let p = r - 9. Solve p*z - 2*z = 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.55 + -656.2884.\nAnswer: -659.8384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/5*s**4 - 4\/5*s**3 + 0*s + 4\/5*s**2 + 0.\nAnswer: s**2*(s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24948 divided by 594\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5962600 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -10280675 times -2?\nAnswer: 20561350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1851 + -225282.\nAnswer: -223431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e1 - 3?\nAnswer: de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 58 - 30. Let s = -510297073.9999959 + 510297046. Let u = d + s. What is u rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(sqrt(75)*2).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 3*u = 0, 3*l = -4*u - 22 + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 - 6*m - 9. Let z be k(7). Let l be -2 + z\/2 - -7. Suppose -2*d - 29 = b - l*b, -3*b - 3*d + 24 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 56 = 3*l - 16 - 27, 0 = -319*l - 220*l + 5*a - 1637 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 126 - 110. Let r = 36 - l. Let v = 20.00000042 - r. Round v to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -1713*x. Let o(v) = 2*v**2 - 232*v. What is d(o(n))?\nAnswer: -3426*n**2 + 397416*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53\/24 - 15\/8. Suppose -2*g + 3*q = -1, 5*q + 7 = 5*g + 2. What is the nearest to g in -0.1, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/10 - (-84)\/15. Suppose -3*y - 74 = -5*s, 0*y = 3*s - 4*y - 40. Solve -w*g + 2*g = 4*p - s, 3*p = 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 10737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 433 - 448. Put n, -3, -1 in ascending order.\nAnswer: n, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*1\/2*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2312111232 + 10?\nAnswer: -2312111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-1 - 0) + 74. Let p = b - 55. What is the units digit of (-4)\/p - 13\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 8:45 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 + 14*z - 16. Give w(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = q + 13. Let d be (-3 - q - 13)*3. Let u = -23 - d. Solve 6 = -7*j + u*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.03 - -6.03. Let h = 5.7 - x. Which is bigger: h or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45 - 15 - 9 - 10 - 19*l - 14.\nAnswer: -19*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4391*(13\/(-91) + 16\/14). Let c = z + 639. Is (-12)\/(-20) - c\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.245883 - 0.040913. Round v to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of 0 - 1\/24*o**4 - o**2 - 1\/3*o**3 + 0*o + 1\/20*o**5 - 1\/60*o**6. Suppose 0 = 5*w + 6*z - z - 25, 7 = -w + 3*z. Determine u(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 3*j. Let a(f) = f**2 + 2*f - 67. What is a(h(t))?\nAnswer: 9*t**2 + 6*t - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**2*s + 4455*n**2 + 3*n*s + 3949*s wrt n?\nAnswer: -2*s + 8910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 14) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of -w**5\/60 - w**4\/36 + w**3\/18 + w**2\/6 - w - 6. Factor n(m).\nAnswer: -(m - 1)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(32\/7)*s*s**(11\/8) assuming s is positive.\nAnswer: s**(389\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 4*q + 2. Let p be y(1). What is the common denominator of -113\/6 and p - 3 - 130\/(-25)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/15)\/((-5)\/(-100)*-6). Let i = s - 8\/9. Let n be (-8)\/(0 + -2) + -1. What is the nearest to i in n, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003229852 rounded to 7 dps?\nAnswer: 0.0000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 297704*g**3 + 876*g**2 - g - 7?\nAnswer: 1786224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 316446 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 137153774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41 + 16*k**2 + 41.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2469.\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 134*y - 6 + 11 as d*y + c and give d.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -39\/4*l**3 + 6 + 3*l - 27\/2*l**2 + 3*l**4 + 9\/4*l**5 = 0?\nAnswer: -2, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 1cd?\nAnswer: -1d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -29196*395\nAnswer: -11532420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 5*c - 3*j + 6, 4*c - 3*j - 18 = 0. Let 2*l**2 + 4*l**2 + 12 + 24*l + 9*l**2 + c*l**3 = 0. What is l?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 2841\nAnswer: 2841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 290 a factor of 28649929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2835899 times -75?\nAnswer: 212692425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -24 + 2*n**2 + 24 - 3*n**2. Let x be 22*(-2)\/(-6)*3\/1. Let q(a) = x - 22 - 4*a + a. Determine q(t(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 11:56 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*(d*d**(-3)*d)\/d*d*d*d**(3\/11)*d assuming d is positive.\nAnswer: d**(25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9460 + -1702769\/180. Let p = s + 1\/36. Let a = 487361\/3 - 162453. Which is bigger: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25996 - -25998. Solve -7*o - 29 = -2*l - 5, -4*o - 12 = -m*l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131*i - 28*i + 65*i = -4368 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1040 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 3, -3, -11\/523?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 + i**2 + i - 6. Suppose 2*x = -2*x. Let b = x - 0. What is t(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.03, -5, 0.03, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - 4*z + 24. Let u be c(-7). Suppose -4*d + 4 = 0, -u*w = -9*d + 4*d - 124. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2649 - 2650. Let z(c) = -21*c**2 - c. What is z(n)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.3 minus 86432941?\nAnswer: -86432949.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -143*g + 1430. Let w be j(10). Suppose w + 2\/9*m - 2\/9*m**2 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2170*r**3 + 2179*r**3 + 0 + 0.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10496380.\nAnswer: 2, 5, 269, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4889?\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -271677.81 to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -0*w - 70. Let m = 29 - w. Let z be -1 + 0 + -1 + 8. What is the greatest common factor of z and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 126*f - 2186. What is p(-11)?\nAnswer: -3572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1194.721 + -0.721. Let z = 1117.7 - u. Let t = z + 71. Round t to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 51 - 4*d + 61 - 85. Is r(3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1\/6  (b) 2\/9  (c) -4  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/4*(-28)\/(-6). Let i(k) be the first derivative of 2*k**2 + 11*k - 179. What is the remainder when i(h) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1878 divided by 684.\nAnswer: 313\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 88162, 705142, 2379800, 5640976, 11017510, 19038242, 30232012, 45127660?\n\"Answer: 88140*u**3 - u**2 + 3*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1240240 rounded to the nearest one thousand?\nAnswer: 1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from vvvvvvvfvfvvv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-5)*a*a)\/(a*(a*(a*a\/a**(-3)*a)\/a)\/a*a*a*a*a))\/(((a**(2\/11)\/a)\/a)\/(a**(-4)*a)) assuming a is positive.\nAnswer: a**(-145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of 5*g**4\/12 + 34*g**3\/9 + 38*g**2\/3 + 56*g\/3 + 1921. Factor f(o).\nAnswer: (o + 2)**2*(5*o + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 - 1. Let i(c) = 5*c**2 - 4*c + 5. Let q(k) = i(k) + 6*n(k). Let s be q(-3). Solve -y + s*u - 6 = -4*y, 3*u + 5 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4292, -5, 88, 5 in descending order.\nAnswer: 88, 5, 4, -5, -4292","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Put 0, 29, 28, 5, -37, -5 in increasing order.\nAnswer: -37, -5, 0, 5, 28, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 85 = 337. Sort u, -3, 2, -5 in decreasing order.\nAnswer: 2, -3, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -376200 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 270145224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 2 = 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -25*i - 35. List the prime factors of f(-12).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -296 + 253 + (-2 - 13 - 2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -13026*s - 78148. What is n(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by 1121.\nAnswer: 9\/1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 5*c = -4*i - 5, -357*i - 4*c - 8 = -355*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of -m**5\/2 + 11*m**3\/2 - 20*m**2. What is the first derivative of g(c) wrt c?\nAnswer: -60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -717692*c**5 + 197*c**4 - c**3 + 11*c**2 - c + 203968?\nAnswer: -43061520*c**2 + 4728*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20240 = 4*y + 36*y. Calculate the greatest common divisor of y and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11.226 - -11.22583456. Round v to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*x + 56 + 133 = -58 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b + 5. Let k be s(-4). Suppose -5 = -2*r + k. Suppose 3*p + r = -0*g - 3*g, -2*p + 3*g = -18. Solve -p*t = 2*t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 + 10*i**2 + 14*i - 11. Let k be x(-8). Suppose -f = -0*z + 3*z - 20, -2*f = -k*z - 62. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.007 + 3.993. Let p = 3.5 - 3. Let y(q) = -q**2 + 9*q - 9. Let g be y(7). Which is the third smallest value?  (a) g  (b) v  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1357.76751 rounded to zero decimal places?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 3759 - 1882 - 69*y - 1880 + (-3 - 3 + 9)*(-3*y - 3*y + 5*y) in the form t*y + s and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 3*a + 22. Let b be g(-6). Let y be 1*b\/(2\/1). Suppose -q + y*o + 6 = 4*o, -2 = q + 4*o. Which is smaller: q or 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3103213 - 130?\nAnswer: 3103023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 20\/6 - (-7)\/(-21). Let z(n) = n**3 + 12*n**2 - 14*n - 13. Let d be z(-13). Sort d, -12, -5, v in descending order.\nAnswer: v, d, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29826 divided by -4971\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2196 is divided by 729.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the third derivative of -k**8\/16800 + k**7\/6300 + k**6\/900 + k**4\/3 + 10*k**2. Let i(z) be the second derivative of h(z). Factor i(m).\nAnswer: -2*m*(m - 2)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66866531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15 - 1002*s**3 + 979*s**3 - s + s to j + h*s**3 + x*s**2 + c*s and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -128 + 112, -2*r - 5*d = -11228. What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2248, 2280, 2312, 2344, 2376, 2408?\nAnswer: 2440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2\/251 + -516\/1757. Let k = -2 - -7. Suppose 0 = -3*i + k*i - 10. What is the third smallest value in d, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-32)\/24*(-9)\/2. Let z = 28 + f. Suppose 33 + z = q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-728)\/(-910))\/((-64)\/30).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 + 10*v - 1. Suppose 5*h + 0*c - c - 192 = 0, -4*c = 2*h - 90. Suppose h*q - 33 = 42*q. Give d(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6216 and 35112.\nAnswer: 1299144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**3 + 4*k**3 - 4*k**3 + (8*k - 7*k + 33*k)*(-3 - 1 + 5)*(-1 + 1 - k**2 + (2*k + 3*k - 4*k)*(k - 2*k - k) - 10*k + 10*k - 12*k**2).\nAnswer: -508*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**2. Suppose 0 = -5*v - 2*j, -2*v + 4*j = 5*j + 1. Let c(q) be the second derivative of 0 + 0*q**v - 1\/3*q**3 - 8*q. Calculate g(c(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26969?\nAnswer: 149, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyv when three letters picked without replacement from {y: 2, u: 1, f: 1, c: 1, v: 1, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + -7. Let p(q) = q**3 - 5*q**2 + 4*q - 3. Let v be p(k). Let h = -6 - v. Solve -h*u + 17 - 2 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + 2 + 67618)*(-874)\/(-1748) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 3235 = 5*f + 883, 3*o + 2331 = 5*f. Is f a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 18*f**4 - 176*f**3 + 554*f**2 - 516*f - 144 = 0.\nAnswer: -2\/9, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15420 + 15453. Calculate the remainder when 293 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 586 divided by 4.\nAnswer: 293\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 82, 43, -182, -593, -1190, -1973, -2942?\nAnswer: -4097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -60 + 82. Suppose -t = -i - 21. Suppose g = d + 1, 5*d = d + 3*g - i. Solve 0 = d*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 947430 divided by -3509?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 9:11 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y\/y**(1\/3))**(-34)*(y**(-1))**2*((y**(-1\/3))**(15\/8))**(1\/6) assuming y is positive.\nAnswer: y**(-4453\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -228005.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 686*j**3*l**2*m**2 + 6*j**3*l**2 - 700*j**3*m - 194*j**2*l**2*m**2 + l**2 wrt m?\nAnswer: 1372*j**3*l**2 - 388*j**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 196 = w, -13*w + 10*w - 6 = 0. What is the highest common factor of n and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5085, -10170, -15255?\nAnswer: -20340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3185.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 251*o + 11025. Determine i(-44).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 2 - 3 = 0. Let r be ((-5)\/(-10) - 1)*4. List the prime factors of q - (-7 - 2\/r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84526?\nAnswer: 2, 13, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(9\/12) - (-32)\/4. Let s(f) be the second derivative of 0 - 7\/20*f**5 + 0*f**2 + 0*f**3 + 2*f + 2\/15*f**6 - 1\/6*f**l. Factor s(x).\nAnswer: x**2*(x - 2)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 15*b + 23. Let u be r(14). Solve 8*m = u*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence leqq when four letters picked without replacement from releqrlrmrqmerq?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.031531 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2310, 2312, 2314, 2316?\nAnswer: 2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 100 = -2*o, -12 + 4 = 4*u. Let y be 4\/(-14) + o\/315. What is the smallest value in 2, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -86192584511 - 0.4.\nAnswer: -86192584511.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (b + 1960 + 98 + 746)*(2*b - 1 + 1) to the form o + r*b + n*b**2 and give r.\nAnswer: 5608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/7)*n)**(-11)\/(n**0*n)**(-2\/21) assuming n is positive.\nAnswer: n**(-163\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16*a + 3*a**3 + 16*a + (0*a**2 + 0*a**2 + a**2)*(8 - 18*a - 8) + 0*a - 2*a**3 + 0*a + 3*a + a**3 - 3*a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mfyy when four letters picked without replacement from ffmffyfygfmmfmf?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (85 - 72 - (1 + -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -0.3, 3, -2\/13309?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 401.3 - 43.7046094.\nAnswer: 357.5953906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -373590465 by -5.\nAnswer: 74718093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 96.213 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 887623 a multiple of 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (259\/(-14))\/(1\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 71*j**2 - 1410*j + 111. What is b(20)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from appaaa. Give prob of picking 2 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48692060 divided by 1940.\nAnswer: -25099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -931, -931, -929, -925?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 539 + 149. Let q be (56\/35)\/((-6)\/u). Let d = 108 + q. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1368 - -1335) + (14 - (6 - 3)) + -2 - -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 153*q**2 + 1 - 1 + 176*q**2 - 324*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28 and 441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 11*r**2 + 6*r + 9. Let u be n(-3). Calculate the highest common factor of u and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*f + 5*o, 6*o + 6 = 3*o. Suppose m = 4*m - f. Suppose 5*k + 4*j = 29, m*j + 12 = 2*k - 14. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*r - 414 + 519 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -1  (c) -0.2  (d) 0  (e) -0.26  (f) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2 + 0)*(-8*h - 10*h - 7*h) + (2*h + 2*h - 2*h)*(0 + 0 + 2) - h + h - 2*h - h + h + 3*h to d + x*h and give x.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1118215044.\nAnswer: 2, 3, 353, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 301023 + -13331133?\nAnswer: -13030110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-227 - -237) + (3 - 6 - 0 - 98).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.070797 and 0.28.\nAnswer: 0.350797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 76\/585 and -47\/16793010.\nAnswer: 16793010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2.2, 0.4 in descending order.\nAnswer: 2.2, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 6:29 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/105 and 32\/97401.\nAnswer: 3409035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w + 8. Let o be a(-8). What are the prime factors of o - -1 - (-10 + -3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -48799754, -48799756, -48799758, -48799760, -48799762, -48799764?\n\"Answer: -2*z - 48799752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 126.8 - 126.5. Let n = -0.7 - -5.7. What is the nearest to a in -5\/4, n, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + 8980*r**2 - 71910*r + 24. Calculate h(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-4)*(56 - 2). Suppose 4 = 28*x - d*x. Solve -4*a + 3*i + i = -x, 4*a + 5*i = -41 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5658820 and 45320?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1791612773 to the power of 1\/3, to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**5\/19 + 96*q**4\/19 - 54*q**3 + 8*q**2 + 8472*q\/19 - 576 = 0. Calculate q.\nAnswer: -57, -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 195576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t + 0*t - 18*t)*(-7 + 2 + 3)*(1 - 4 + 4)*(1 + 1 - 1) to k*t + d and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1022756\/602 - -1*(-2)\/(-2). Let l = d + -1700. Is 1 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(1\/(-1)*(-2)\/31*(-185)\/37)?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 2*u - 5. Let x be a(7). Suppose 5*k + 0*k + 5*l = 320, -3*l - x = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1525 + 25 + t + 161 - 13 + 95.\nAnswer: t + 1793","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*(4 + -6 - -1). Suppose -x = -9*j + 32. Calculate the smallest common multiple of j and 0 + 3 - (-2 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1277, -1918, -2559?\n\"Answer: -641*y - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 324680413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-8) - (-27)\/4. Let i(t) = -1 + 0*t**2 + t + z + t**3 - t**2 + 2*t**2. Determine i(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3072*z**2 - 972*z**2 + 1709*z**2 + 1383*z**2 + 458*z**2.\nAnswer: 5650*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -9*t + 1. Let z be o(-2). What is the greatest common divisor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n**3 + 5*n - 18*n**2 + 5*n**2 + 1 + 15*n**2 to d*n**2 + p*n**3 + s + x*n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in nine tenths of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*((-1 - -2) + 0). Solve -v*p = -8*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13280 is divided by 85.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-3))\/(3 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10516282 + 3?\nAnswer: -10516278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8928 - 3428 + 1096 + 2420 - 4225)*(h - 4*h + 0*h).\nAnswer: 39195*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(8\/((-36)\/(-9)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19.884 + 0.304. Let n = -0.42 + g. Let j = n + 20.0000013. What is j rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1961.\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 5, 3*q = -0*f - 4*f + 4. Suppose -9596 = 2*z + 4*b, z + q*z = b - 4801. Round z to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29660, 59642, 89624?\nAnswer: 119606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 - ((-4 - -3) + 4). Let q(b) = -b**2 - 4*b + 2. Let d(r) = -r**2 - 5*r + 3. Give k*q(i) + 4*d(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*u + 2*u. Suppose u*v - 27 = -2*s - 3*s, -s = -5*v + 17. Suppose 190 = -v*i - 2*d + 1378, -4*d = -5*i + 1459. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2733140 is divided by 390446.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppppoppppppppppppp?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6771003*s**4 + 631*s**2 - 3215?\nAnswer: -162504072*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42.6 - 17.4. Let h = 60.0000176 + l. What is h rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.13168 - 1426.13168. Which is the closest to w?  (a) 1  (b) -2\/17  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.66 + -1.8. Let y = 2.86 - g. What is the closest to 0.1 in 4, -4\/7, y?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 4*c = -20, g - 19 = 4*c + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 821494  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3360\/272 + 72\/(-204).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 347927551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2\/5 + 389954184*k\/5 + 12672022134925488\/5.\nAnswer: 3*(k + 64992364)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2424?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 60\/(-1 + 5) - 10. Let r(g) = -25*g**2 - 2*g. Let w(x) = -50*x**2 - 5*x. Give q*r(o) - 2*w(o).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*d + d + h, 0 = -5*d - 2*h + 25. Suppose 2*t + d*b = 4*t - 915, 0 = -2*t + 2*b + 918. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -369615.46 to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 - -0.1. Let s = -13 + 17. What is the second biggest value in 0.4, q, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of 2\/3*v**3 - 12*v + 5*v**2 + 3. Factor g(z).\nAnswer: 2*(z - 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - 6*h + 2. Calculate j(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o + 5*o = 0. Is o >= 4\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*p**2 + 117*p**2 + 9*p**2.\nAnswer: 112*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffpofpfffoffpffp. What is prob of sequence ffoo?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/17895 and 85\/244.\nAnswer: 4366380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 53962891*x**3 + 29397889.\nAnswer: 161888673*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -184*s + 154*s + 43050. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (546 - 546 + 154*m)*(3*m - 3*m - 2*m).\nAnswer: -308*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -4*v**5 + 20*v**4 + 4*v**3 - 20*v**2 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of -11*o**5\/60 + 5*o**2. Let t(c) be the first derivative of c**3\/3 + 4. Calculate u(t(s)).\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5294, 21249, 47834, 85049?\nAnswer: 132894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -3106*f**2 - f - 1. Let r be d(1). List the prime factors of r\/(-18) - (-4)\/(-6).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.441*11.8129\nAnswer: 5.2094889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -16*x + 1. Let t be n(-1). Let k = t - 16. Calculate the least common multiple of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 a when three letters picked without replacement from aabajbjjaj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -50*k**3 + 208162290*k**2 - 166529808*k + 33305960 = 0.\nAnswer: 2\/5, 4163245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*a - 14*a + 44*a)*(-5*a**3 + 0*a**3 + 3*a**3 + (1 + a**3 - 1)*(-4 + 4 + 1)) + 3*a**4 + 0*a**4 - 5*a**4.\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (13\/(-52))\/(2\/(-11208))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of 129*t - 2\/3*t**3 + 0 + 0*t**2. Let k(n) = -6*n**2 - 6. Determine k(p(v)).\nAnswer: -96*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1 + (-1*sqrt(343))**2*-5 + 1 + 3) + -2.\nAnswer: 6838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 15*a**3 + 15*a**2 - 9*a**3 + a - 20*a**3 - 13*a**2 in the form m*a**2 + f*a + l + r*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21 and 1106.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3107, -3278, -3729, -4598, -6023, -8142, -11093?\n\"Answer: -23*z**3 - 2*z**2 - 4*z - 3078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 29 - (-4 - (-3)\/3). Suppose -t - 7 = -b. What is the highest common factor of 200 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3 - (-142)\/64*-2 and 101\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12943463\/2895 + 44709\/10. Calculate the common denominator of m and 12\/2123.\nAnswer: 12738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2a6f8 + -98c?\nAnswer: -2b084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66692210 divided by -13338442.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 PM and 12:59 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -20*l - 14. Calculate the least common multiple of u(-2) and 54.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -51, -9163\/2, -0.4?\nAnswer: -9163\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 156056.\nAnswer: 2, 19507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(4\/(-12662)) - 297\/27. What is the greatest common factor of h and 474?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1961\/2 - -962. Let q = -1909\/12 + 541\/4. What is the common denominator of q and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 6 = 16. What is the third derivative of -4*b**6 - 8*b**2 + 13*b**k + 23*b**6 wrt b?\nAnswer: 2280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -130984 (base 10) to base 15\nAnswer: -28c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91595677?\nAnswer: 17, 193, 27917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 480019500 and 7400?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - 4183\/141 - -18?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**3 - 36*a**2 + 2440*a - 8928.\nAnswer: -4*(a - 18)*(a - 4)*(a + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*g = 255 - 39 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 135924 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16445)\/(-1771)*14\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -1, 2012, 5.\nAnswer: -5, -2, -1, 5, 2012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1069 divided by -18\nAnswer: 1069\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t**3 - t**2 + 2*t + 2. Let s be y(-1). List the prime factors of (-6)\/s - 1832\/(-16).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.590838405 rounded to 2 dps?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 - 5*w**2 + w + 3. Let o be t(5). Suppose -5*n + 8 = -3*v, 4*n - o = 8. Solve -2*z = -5*z - p + 11, 2*z + v = 5*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i + 5*i - 4*i)*(-3*i**2 + 4*i**2 + 0*i**2 + (-i + 4*i - 2*i)*(4*i + i - 4*i) + 4*i**2 + 1 - 1).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, -28, -19, -4, 6, 5 in descending order.\nAnswer: 6, 5, 4, -4, -5, -19, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-791*(-10)\/140)\/1 + (-10)\/(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -63 + 154. Calculate the greatest common divisor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*c - 3*d - 2, -2*c - 3*d + 1 = 0. Suppose -3*v - 16 = -4*m - 0*v, -5*m - 5*v - 15 = 0. Let t = m + c. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ruruee. What is prob of sequence erur?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 14 = 10*l. Let h(q) = 0*q**2 - 2*q**2 - 2*q**2 + 2*q**l. Let k(r) = -8*r**2. What is h(k(w))?\nAnswer: -128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.10476419 rounded to three dps?\nAnswer: 1.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.02131 + 0.01869. Put 19, 1\/4, i in ascending order.\nAnswer: i, 1\/4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -3*c + 12. Factor 0*y**2 - 8*y + 6*y**2 + 6*y - c.\nAnswer: 2*(y - 1)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -6*b**4 - 4*b**3 + 4*b. Let v(m) = 0*m**3 - 7*m**3 - 2*m**3 + 1 + 9*m - 13*m**4. Let i(g) = 4*v(g) - 9*z(g). Differentiate i(l) wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x - 2. Let l be s(-6). Suppose 4*p - l*c - 28 = 0, -3*c = 3*p - 29 + 8. Calculate the remainder when p is divided by 5*(-3)\/(15\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - q = -8*i + 15, -i - 6 = -2*q. Suppose -4007 = i*r + 805. Let m = 12093\/10 + r. Calculate the common denominator of 77\/18 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k**2 - 2430606*k + 492320460603 = 0. What is k?\nAnswer: 405101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of 0 + 174*v - 1\/4*v**3 - 5\/2*v**2 + 1\/24*v**4. Suppose s(w) = 0. What is w?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1449)\/(-441) + 1 + (-9)\/7. Find the third derivative of 2 - 26*w**3 + 8*w**2 + 15*w**r + 27*w**5 - 85*w**5 + 9*w**3 wrt w.\nAnswer: -3480*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {m: 9, x: 3}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/80 and 87\/184.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 46, -2, 1, -4 in decreasing order.\nAnswer: 46, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/7, 69\/5, -4\/13, -5\/7, 2\/19, 4, -5?\nAnswer: 69\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - 134*m**2 - 131*m - 288. Calculate the remainder when z(135) is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 670 + -676. Suppose 4*t + 15 = -t. Is t\/(-3 - r)*-3093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10661\/88 - 1334\/11. Which is the nearest to -0.1?  (a) -19  (b) t  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 + 3. Let q = -4 - d. What is the remainder when q\/((-8)\/(-7) - 1\/1) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 141\/84490 and -2\/12425.\nAnswer: 422450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 211*z - 281. List the prime factors of n(20).\nAnswer: 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 581*c**2 - 50*c**2 - 798 + 56*c**2 wrt c?\nAnswer: 1174*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1276 - 2*i**2 - 1081 + 3414 - 1076.\nAnswer: -2*i**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 242 and 10?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 16\/25 and -31\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of -u**7\/2940 + u**6\/630 - u**5\/420 - u**4\/4 - 3*u. Let j(g) be the third derivative of r(g). Let j(h) = 0. What is h?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (152\/100)\/(10203\/537)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -5*r**5 + 30915*r**4 - 277975*r**3 + 895425*r**2 - 1204020*r + 555660 = 0.\nAnswer: 1, 2, 3, 6174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -307\/10 + 31. Which is the nearest to h?  (a) -0.4  (b) 5  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 AM and 4:53 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02854 to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*q + 9 = 0, -2*w + 3*q + 3 = -0. Suppose -v - 60 = -5*v. Calculate the least common multiple of (w*v\/(-9))\/1 and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -32400*t**2 + t + 5. Suppose 3*p = p. Suppose 19 = -3*f + c, -f - 1 = c - p. Let k be u(f). Round k to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42404 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2)*(3 - 3 + l) + ((-5 + 4 + 3)*(1 - 3 + 4) + 0 + 0 - 1 + (-4 + 0 + 2)*(-3 + 0 + 5) - 7 + 6 - 5)*(0 + 2*l - 1 - 2).\nAnswer: -16*l + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -1 - 130*x + x**3 + 5*x**2 + 3*x**2 + 58*x + 63*x. What is k(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 1058?\nAnswer: -1\/1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 32030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of t**6*y**2 - 86088*t**4*y**3 - 2*t**2*y**3 + 5*t**2*y + 153*t**2 wrt t.\nAnswer: 120*t**3*y**2 - 2066112*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 4*o**2 - 11*o. Let u be d(6). Suppose 5*n = -3*x + 9, 11*x = -n + u*x + 15. Solve -3*z + 0*z = p, n = 5*p + 4*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 110, 962, 3278, 7790, 15230, 26330?\nAnswer: 41822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17 + -15. Suppose i*g + 5*o - 6 - 62 = 0, 3*o + 84 = 4*g. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30) + sqrt(480) + (2*sqrt(480) - sqrt(480)) - sqrt(30))\/sqrt(10) + ((1 + sqrt(75))*4)**2.\nAnswer: 168*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/((-225)\/6)*24\/(-16)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 420412 is divided by 1730?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 217 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 0 + 14 = 0. Let o be r - -7 - (-6)\/2. Factor 3*y**o + 16*y + 31*y - 18 + 9*y**4 - 11*y**2 - 40*y**2 + 10*y.\nAnswer: 3*(y - 1)**2*(y + 3)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1199 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -10*z**5 + 504*z**4 - 5070*z**3 - 17432*z**2 + 7752*z = 0?\nAnswer: -3, 0, 2\/5, 19, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 50 and -855.4544.\nAnswer: -805.4544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5459, 21848, 49227, 87650, 137171, 197844?\nAnswer: 269723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 6:47 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 + 8*t**2 - 6*t + 27. Give r(5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19626?\nAnswer: 2, 3, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -134 (base 7) to base 4\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -497, -2000, -4505, -8012?\nAnswer: -12521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22, 21, 34, 67, 126, 217?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 5*b - 20 = 0, 5*b = j - 4 - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -9*c - 14. Calculate the remainder when t(-3) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 4*x - x)*(x**4 - 2*x**4 + 3*x**4 + (-x + 2*x**4 + x)*(-1 + 3 + 0) + 0*x**4 - 2*x**4 + 4*x**4).\nAnswer: 16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + j)*(-3*j + 5*j + 3*j - 1) in the form u + x*j + n*j**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add 20 and 114243.\nAnswer: 114263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 + 9*n + 10. Let b be u(-8). Let p(a) = 374*a**b + 3*a - 3*a - 373*a**2. Let s(c) = -4*c**2. Determine s(p(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-183)\/12)\/((-1)\/12). Suppose -3*c + 3*d - u = 0, 5*c + 269 = -0*d - 4*d. What is the third smallest value in c, -1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9.97, 1, 0.15 in increasing order.\nAnswer: 0.15, 1, 9.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 794?  (a) 2\/27  (b) -1\/117  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.038 + -0.038. Which is the closest to 1?  (a) -15  (b) g  (c) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o + 12. Let v(z) = z**2 - 5*z + 5. Let p be v(5). Let l be y(p). Suppose -3*t = 4*k - 279, l*k = -7*t + 2*t + 479. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4025162.\nAnswer: 2, 139, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3*u + 8 = 36, -2*x = 4*u. Let i = x + -7. What is the units digit of 2\/(8\/84*i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 - 6*y - 1. Let r be d(6). Let k = 5526 - 5525.6. Which is the closest to r?  (a) k  (b) 4\/5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**34*s*s**8)**(2\/53) assuming s is positive.\nAnswer: s**(86\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -89482\nAnswer: 1\/89482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -12*u**2 - u**2 - u**2 - 6*u**2 + 24*u**2. Suppose 0*y + y = 4. Let z(b) = b**2 + 4*b - y*b. Determine z(m(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 145 by -4762.\nAnswer: -145\/4762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6312 - -9241. Let h(i) = 3*i - 22. Let n be h(9). Suppose n*s + 644 - w = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*j + 132 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*q - 253*q - 64*q.\nAnswer: -284*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 227.6, -5\/4 in ascending order.\nAnswer: -5\/4, -1, 227.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-3 - -11) - ((-4 - 1) + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0258356 rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 21, 32, 47, 66, 89, 116?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cpbpccucccbppb. Give prob of sequence bcp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + 106. Let v be g\/54*(-2 - 54\/(-21)). Let w = 1652\/1269 - v. Is w bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -117 and -22.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 69*h*w + 114*h wrt w.\nAnswer: 69*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -86b0?\nAnswer: 86ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 7*o = 0. Suppose 0 = -4*g + 3*v + 393, 3*g - 297 = 3*v - o*v. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 4 + 1 = 0. Let t(r) be the first derivative of r**3\/3 + 5*r**2\/2 + 2*r + 6. Let l be t(-3). Sort s, 4, l in descending order.\nAnswer: 4, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 137*i - 20*i = -314*i. Suppose 0*c - c + 5 = -2*w, -c - w = -5. Let d be c - (-1 + 2\/2). Solve 0 = -i*a + d*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 962425*h**4 + 755843*h**2 wrt h?\nAnswer: 23098200*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 62 - 8 = 0. Suppose -f - 73 - j = 0. Let u be f\/((-3 + 0)\/(-1260)). What is u rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -4*a - 9. Let r be v(-5). Suppose 0 = y - r + 3. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2100 and 4800.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2*f = -304, -f = 4*s - 37 - 267. What is the highest common divisor of 114 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 1 + 2 = 0. Let o be 12\/5 - 4\/10. Suppose 2 = o*i - 2. Solve -d = -i + u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11482, 11483, 11484, 11485, 11486, 11487?\n\"Answer: s + 11481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(3\/7)*(a\/a**(-4\/5))\/a)\/(a**(-2\/7)*a\/a**3) assuming a is positive.\nAnswer: a**(123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 364454.6ml to litres.\nAnswer: 364.4546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -421145640*j**2*s**2 + 104906*j*s**2 + 3*j + 19*s**2 + 10 wrt j.\nAnswer: -842291280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**3\/7 + 2*k**2 - 22*k\/7 + 10\/7 = 0. Calculate k.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -2*y. Let n = 25 - 25. Let p(s) be the second derivative of -5\/6*s**3 + n + 0*s**2 + 2*s. Give p(t(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2339632.78 + 0.89.\nAnswer: 2339633.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*4 + (-37 - -42). Suppose -2*j = -81 + 25. Let v = u + j. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - (-241)\/76)\/(-1). Let r = 8\/19 + j. Which is the third smallest value?  (a) -1  (b) r  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5508 and 4860?\nAnswer: 82620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-5 + (5 - -3) + -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 16) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146 - 91*q**2 + 19 - 17.\nAnswer: -91*q**2 - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -5  (b) -10  (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 - 27*f - 45. Give v(27).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000085273 rounded to seven dps?\nAnswer: 0.0000853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 5:22 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 3*w + 2841 = 0, -3*l - w - w = 2837. Let g = l - -1362. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 9*p**3 - 24*p**2 - 40*p - 10. Let l be n(4). Solve -17*v + 5*z = -l*v + 20, -v = -4*z + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7.6725 and 0.5.\nAnswer: 3.83625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/28096466 and -103\/848.\nAnswer: 224771728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*t)*(0 - 1 - 1 + (1 - 2 - 1)*(-4 + 2 + 4) + 0 - 6 + 4).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-3)*k**(-2\/9)*k**(-4)\/k**(-6)*((k*(k\/k**(-2\/15))\/k)**(3\/8))**(-24) assuming k is positive.\nAnswer: k**(-514\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -5, -9.3, -111 in decreasing order.\nAnswer: -2\/7, -5, -9.3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b + 0*b + 0*b. Let d be (-8 + 7)*4 - (-9 + 3). Let f(t) = d*t**2 - 23220 + 23220 - 15*t. Determine w(f(y)).\nAnswer: -2*y**2 + 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22*v**5 + 25*v**3 + 8930*v**2 - 17855*v**2 + 8927*v**2 + 66 - 11*v**3 wrt v.\nAnswer: -1320*v**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 20 = 3*f, 24*f + i + 19415 - 19507 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 - -27. Which is the biggest value?  (a) -0.3  (b) 0.2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (182\/104)\/((-10850)\/13640)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10832 - 10833. Which is smaller: -5\/2011 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (-17 - -11 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 49 + -50. What is the third smallest value in 4, z, 0.4, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 - 3 - (-2)\/3. Let n = 11.9 - 11. Let k = -0.4 + n. What is the closest to r in k, 3, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + 20*a + 126. Calculate the remainder when 101 is divided by b(24).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -2*o**4\/9 + 118*o**3\/9 - 1798*o**2\/9 + 1682*o\/9 = 0.\nAnswer: 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 102778 and 190548?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 633895, 633893, 633891, 633889, 633887?\n\"Answer: -2*o + 633897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -9*w**2 + 6*w + 1. Suppose -3*x - 71 + 56 = -3*u, 3*x = 5*u - 17. Determine o(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/3, -6, -28, 0, -1.1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s + 9. Let y be n(-4). Let p = 0.021 + -1.921. Let x = p - 2.1. Sort 14, y, x in decreasing order.\nAnswer: 14, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4217890.\nAnswer: 2, 5, 211, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000337971005 to six decimal places.\nAnswer: 0.000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 185*v**2. Let c(k) = -183*k**2 + 89*k**2 + 97*k**2. What is c(i(b))?\nAnswer: 102675*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -340*p**3 - 13*p - 13. Let t be l(-1). Solve t*x + 4 = 339*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.35 + 4.32. Let a = k + 1.03. What is the third smallest value in a, -0.03, -6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - c = 90. Let m = 17 + c. Determine r, given that -8 + 4*r**2 - 3*r**3 + 6*r**2 - 12*r - m*r**2 + 15*r**3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 66280 and 14000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-27))\/((-4)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (270\/(-1170))\/(1\/(-13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 2*f - 1 + (2*f - 4 + 4)*(3 - 4 + 3) - 1 + 1 - f + (3 + 2 - 4)*(-5*f + 2*f + 5*f) + 0 + 0 + 2*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from anoonegc. Give prob of picking 1 a and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of v**5\/10 - v**4\/4 - v**3\/6 + 3*v**2 - 4*v - 1. What is the tens digit of r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 8660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -26276631?\nAnswer: -26276630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 2 = 13. Let f be 216\/45*(-190)\/(-8). Let z = f + -117. What is the second smallest value in z, d, -21?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -26 + 18. Let v = 21 + g. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -289, -5\/3, -87, -2.6?\nAnswer: -289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*h + 20*h - 319104 = -k, 3*h - 5*k - 239351 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1165 - 2269*f - 1165.\nAnswer: -2269*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -232256 divided by 3?\nAnswer: -232256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 + -37. Let i(n) = -3*n - 18. Let b be i(q). Factor 10*c**3 - 24*c**2 - 9*c**3 - 36*c - 5*c**3 + b*c**2.\nAnswer: -4*c*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -177*g - 7616. What is x(-43)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-1085)\/(-1085))\/((-4)\/10)*(-1)\/(-15)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dididxgixdwdiidgdxhd. What is prob of picking 2 d, 1 w, and 1 i?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + 9a5f?\nAnswer: 9a5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 3*f - f + (-2 + 1 - 1)*(3*f + 0*f - f) - f + f - 2*f + 12*f - 10*f + 2*f)*(-3*f + 0*f - 5*f)*(f**2 + 2*f**2 - 5*f**2).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 9:30 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 AM and 10:27 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/16)\/(16\/((-3136)\/(-42)))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 2*h = 0, 0 = 5*a - h - 10. Let i = -6 + 4. Let b be a*((-5)\/i)\/(-5). What is the nearest to 2\/3 in b, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*u = -26 - 22 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + c)*(7 + 8 - 11)*(2 - 2 - 2)*(16*c + 28*c - 2*c + (1 + 2 - 2)*(8 + c - 8))*(3*c + 0 + 0) to k*c**3 + x + m*c**2 + s*c and give k.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -443, -887, -1331?\nAnswer: -1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3216080, -12864318, -28944714, -51457268, -80401980?\nAnswer: -115778850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-8)*d**(-8)*d*d*d\/(d\/(d\/d**6))*(d\/(d*d\/(d\/(d\/d**(-3)))*d))\/d*d*(d**(2\/7)\/d*d*d**(-7))\/(d*d*d*d**(-3)*d*d**(-2\/11)) assuming d is positive.\nAnswer: d**(-2428\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, e: 2, d: 2, q: 1, z: 4, h: 1}. What is prob of sequence zd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-108)\/(-6)*3\/36*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -10016, -19283, -28566, -37865?\n\"Answer: -8*j**2 - 9243*j - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*t + 37 + 68 = 0. Let q(n) = n**2 + 7*n + 6. Calculate q(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -1997*p. Let m(i) be the second derivative of i**3\/2 - i - 2827. Calculate a(m(o)).\nAnswer: -5991*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 - (-16 + 48 + -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10, s: 2, f: 3, l: 1}. Give prob of picking 2 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 852 divided by 6.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - 1 + 1)*(-2*l - 2*l + 5*l) - 8*l**2 + 2*l + 7*l - 5*l.\nAnswer: -10*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2288562?\nAnswer: 2, 3, 191, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -3*l + 19*l - 535 + 1115 - 506. Determine f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 1 + 2 = 0. Let z be 410866\/(-24) - (-3)\/m. Let w = z - -17106. What is the common denominator of 145\/18 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2091, -4392, -6681, -8958?\nAnswer: -11223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158*y - o = -154*y - 3, -3*y - 5*o = -15. Which is smaller: 32\/331 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -29*k + 140. Let x(i) = -9*i + 47. Let c(l) = -3*b(l) + 8*x(l). What is the derivative of c(g) wrt g?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d**3 + 5*d**3 - 10*d**3 - 5*d**3.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n - 3. Let m be l(-3). Suppose -m*t - 9 = 0, -5*q - 27 = -2*q - 2*t. Let v = q + 19. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 132\/(-4433) + (-3)\/(-3). Let k = l + -42\/31. Which is the smallest value?  (a) -3\/5  (b) k  (c) 0.1  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34895, 34942, 35001, 35078, 35179, 35310?\nAnswer: 35477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + 11?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*z**5 + 22036325*z**4 - 2794637*z wrt z?\nAnswer: -40*z**3 + 264435900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/11)*s)**(-35)\/(s**(-2))**(-32) assuming s is positive.\nAnswer: s**(-1019\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 859664 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3 + 18534*q**2 + 595136*q.\nAnswer: -2*q*(q - 9299)*(q + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 976.0736 millennia?\nAnswer: 976073.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**2 + 2*q - 1. Let a be p(3). Suppose 0*z + a = z. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.28322511 rounded to 3 decimal places?\nAnswer: 0.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -220*b + 266*b + 4 = 4. Solve b = -4*j - 2*f + 18, -f + 0*f + 1 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(25\/4))\/(o**(4\/11)*o))**(-3\/13) assuming o is positive.\nAnswer: o**(873\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -1. Let g(b) = 5*b + 1. Let c(l) = -3*l - 1. Let o(w) = 11*c(w) + 6*g(w). Suppose -r - 1 = -j - 0, 0 = 3*j - 15. Give r*v(z) - o(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (47 + -10 - 15) + -9 + 4 + (-35 - -31)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 113 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 + 5*i + 2. Let p be w(-5). Solve 5*n - 28 = -5*a + p*a, -4*a = -3*n + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -1. Let r(t) = -6*t - 1 + 5*t + 2 - t**2. Let h be r(-3). Which is the nearest to z?  (a) -4  (b) h  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 362, 347, 330, 311, 290?\n\"Answer: -i**2 - 12*i + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -52 - -56. Suppose 5*k = 5*c - 535, -7*c + z*c - 5*k = -297. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*p**2 + p**2 - 10*p**2 + (p - 2*p + 2*p)*(0*p + 2*p + 0*p))*(-3517*p - 367*p + 1352*p) as q*p**2 + l*p**3 + y + w*p and give l.\nAnswer: 12660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pvvoohvv. Give prob of sequence vv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*w**4 - 159428*w**3 - 1587862812*w**2 + 14302405892*w - 12714383648 = 0. Calculate w.\nAnswer: -19933, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -43, 50, -3467 in decreasing order.\nAnswer: 50, -3, -43, -3467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.20492 + 0.00492. Which is the fourth smallest value?  (a) -5  (b) f  (c) -0.5  (d) -0.336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 301621348?\nAnswer: 2, 7, 71, 173, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5930991 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssesseesss. What is prob of picking 4 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/12822 and -76\/15995445.\nAnswer: 31990890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*i + i - 5*t, -2*i = -4*t - 2. What is the greatest common divisor of 9 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 7, b: 6}. What is prob of picking 2 b?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 11) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6569\/304  (b) 0.2  (c) 1\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -90, -106, -120, -132, -142, -150, -156?\n\"Answer: w**2 - 19*w - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -36\/37, -1\/2, -2\/35, -2\/11?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 2*u = -u - 1294, u + 645 = z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112613089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2099, 2103, 2109, 2117, 2127?\n\"Answer: v**2 + v + 2097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1789\/4 + 463. Calculate the common denominator of 7\/16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**2 - 2 - 3*j**4 + 1 - 5*j**2 + (-5*j + 3*j + j)*(3*j**3 + 2 - 2).\nAnswer: -6*j**4 - 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -1 - (127 + -71 - 107)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -17*s + 196. Suppose 0 = s*f - 49 + 19. Solve 0 = -b + f*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 14*g + 6*g - 53*g + 13*g + 11*g. Let o(v) = 3*v + 3. Give d(o(u)).\nAnswer: -27*u - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1807873849.\nAnswer: 1807873849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 554 greater than -278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30 and 840648.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (-16 + -11 + 26).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1008 and 2268?\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-132)\/14)\/(2 + ((-9664)\/3171 - (-12)\/9))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 9*a**2 - 1 - 2*a**2 + 0*a**2. Let y be ((-76)\/20 - -2)*-5. Suppose -2*x - 7 = -y*x. Determine j(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 5*v - 4229 = 0, -2*w + 12*v = 13*v - 2113. Is 32 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = -2637605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 10 = -3*v - 2*v, -4 = -4*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + -33889.2.\nAnswer: -33904.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of y**5\/40 - y**4\/8 + 5*y**3\/6 - 2*y. Let h(c) be the second derivative of x(c). Calculate h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -855*i**3 + 486*i**2?\nAnswer: -5130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 102 = -282. Suppose 0*n + 3*n + 4*b = 80, 5*n = 5*b + y. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - 14*z + 17. Calculate i(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/24985632 and 19\/7027209.\nAnswer: 224870688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -166*x + 296. What is the units digit of d(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*o + 84*o = -104 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmmw when four letters picked without replacement from {p: 5, l: 1, s: 1, m: 3, w: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.13241 microseconds in days?\nAnswer: 0.000000000915884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10686475 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 76117.242 minus 0.5?\nAnswer: 76116.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o - 20. Let w(x) = 4. Let f(c) = 3. Let i(z) = 5*f(z) - 4*w(z). Let n = -168478 + 168458. Determine n*i(p) + k(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6167220?\nAnswer: 2, 3, 5, 23, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 0\/1 + 5*14 is divided by 10845\/1215 - (-16)\/216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -11.1. Let y = 3.06 + -0.06. What is the second smallest value in 4\/5, y, b?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, 10, -0.135 in decreasing order.\nAnswer: 10, -0.135, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 101304 - 101277. Let g = -8 + 14. Calculate the highest common divisor of l and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qremrmerrm. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -11002201111 (base 3) in base 4?\nAnswer: -103231030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122656 is divided by 30651.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 11766 = r + 15968, -16*r = 5*l - 34633. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 94.1, 23, 3, -36 in descending order.\nAnswer: 94.1, 23, 3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -11*(3\/(-1))\/3. Suppose 3*g = 5*g - 88. What is the greatest common factor of g and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -4*z**5 + 376*z**4 = 0.\nAnswer: 0, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q - 2. Let i be l(-4). Let x be (4*1\/i)\/3. Let h = 42083.9 - 42084. Which is the nearest to h?  (a) -0.2  (b) x  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 3 o when four letters picked without replacement from {s: 7, y: 1, c: 1, o: 7, g: 2}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -75  (b) -10  (c) -432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*r**2 + 7362748 - 7362748 + 11672*r)*(-r + 2*r + r) in the form i + j*r**3 + z*r**2 + d*r and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9465 - -9498. Calculate the remainder when i is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of 0*a**3 + 0*a + 0 - 1\/8*a**4 + 15*a**2 + 1\/60*a**5. Determine y(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.3  (b) 310\/3  (c) 167  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by 0 + -3 + (4 - (-16)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*r**2 + 0*r**2 - 5*r**2 in the form w*r**2 + l*r + x and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 times 41684.1?\nAnswer: 625261.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -149595, -149128, -148661, -148194, -147727?\nAnswer: -147260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - -4 - (-37 + 0). Let g(z) = v*z**2 - 5 - 45*z**2 + z**3 + 8*z - 2. What are the prime factors of g(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, k: 15}. What is prob of sequence kkbk?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 + 6*k + 1. Let n be b(-5). Let w be n + 674\/184 + 1\/4. Is -57 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 3*b**3 - 2*b**2 + b. Let i be (4 - 0)*5\/2. Suppose 0 = 2*w + i, 4*w = -2*f + 3*w - 3. Let m be r(f). Solve -3*o + 4*v + 6 = m*o, -3*v = o + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -377*q + 640 = -361*q. Calculate the remainder when 180 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*f - 31*f - 3050 = 0. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 8:47 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8244 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.15 - 10.85. Let k = -11.9 - z. Let n = k + 0.7. Put 3, n, 0 in descending order.\nAnswer: 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1\/3, 75, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1155420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 19, 29, 39?\n\"Answer: 10*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 - 22*s + 59. Let g be d(19). Solve -2*k - g = -0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 509 - 288. Let b(m) = -m**2 + v + 0*m**2 - 221. Let u(p) = 19*p**2. What is b(u(r))?\nAnswer: -361*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -568 < -600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of -3 + 11\/4*y**4 + 4*y**2 + 0*y**3 + 0*y. What is the second derivative of v(u) wrt u?\nAnswer: 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -4 + 0*b + 89*b**2 + 0*b. Let c be ((-72)\/60)\/((-2)\/(-5)). Is m(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -36*k + 34*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 10*y = 0, 636*p - 2*y + 0 = 641*p - 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 9:52 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*o**2 - 10*o**2 + 134*o + 129*o - 263*o.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 5*g**3 + 14*g**2 - 83. Let i(p) = -2*p**3 - 5*p**2 + 28. Give 8*i(q) + 3*z(q).\nAnswer: -q**3 + 2*q**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -88969\/7518 + 1\/1253. What is the common denominator of -29\/5 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -7, 1, 1324212?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 1 = 5*d, -26*d + 9 = 4*c - 29*d. Sort 0, -10, 2, c.\nAnswer: -10, 0, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/60)\/((-7)\/(-28))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.02361*-3.\nAnswer: -3.07083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, b: 11}. Give prob of picking 3 b.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4948 is divided by 150.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 4 = -x. Suppose 15 = 5*h - x*y, -h - 3*y + 3 = -0. Suppose h*g = -2*g + 60. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 8*a**2 - 2*a - 5. Suppose 5*l + 0*l + 43 = 3*j, 3 = 3*l. Calculate the remainder when 6\/(1 + (-13)\/j) is divided by s(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -8, 0, -6, 62 in increasing order.\nAnswer: -8, -6, 0, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + 7. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f + 24 = 7*f - 2*v, -v = -5*f + 129. Suppose j - 4 = 83. What is the remainder when j is divided by ((-33)\/2)\/((-39)\/f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35265604 to the nearest integer?\nAnswer: 5938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 221 - ((-75)\/(-18))\/(-5)*-6. Let k = c + -223. Is k at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = 3*z, 4*z = c - 0*z + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -u**2*z**2 + 1514*u**2*z - 5712*z**2 wrt u.\nAnswer: -2*u*z**2 + 3028*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 138775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*w + 84. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 422 divide 5573644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -3821*l**2 - 3. Let m(s) = -3700*s**2. Give t(m(y)).\nAnswer: -52309490000*y**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -17*w + 4. Let f be k(-5). Let y = f + -26. What is the highest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39772 and 1098.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.7, 0.18, 10 in descending order.\nAnswer: 10, 2.7, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1775680, -1775678, -1775666, -1775638, -1775588, -1775510, -1775398?\n\"Answer: a**3 - a**2 - 2*a - 1775678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j + 288 = 11*j. Let f = j + 147. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 56*x - 57*x - 23, 4*u + 8*x + 44 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42 + -73125.\nAnswer: -73167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -86242 or -87008?\nAnswer: -86242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.42*-5.\nAnswer: 37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1018278?\nAnswer: 2, 3, 109, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 36243026 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 12) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -380 or -381?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 183*f**2 - 196*f + 2565. Determine i(182).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -5*h**2 - 19*h - 9. Suppose 18*v - 8*v = -29 - 11. Give l(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/20812720 and 89\/13007950.\nAnswer: 104063600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7370 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 + 19*h - 2. Let c(g) = 7*g**2 + 116*g - 13. Let n(x) = 2*c(x) - 13*q(x). Let f(d) = d**2. Determine f(n(v)).\nAnswer: v**4 - 30*v**3 + 225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -1823?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 13 and -57383.6876.\nAnswer: -57370.6876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 12, n: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -12, 29*h - 32*h = -3*m - 33 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.1 + -12.3. Let b = y - -7. Let h = 2 + -3. Put h, -3\/5, b in ascending order.\nAnswer: h, -3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32622 and 5241268?\nAnswer: 15723804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2520514204 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -27*l - 54. Let s be o(-2). Solve 12*x - 4*x - 3*x = s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 72 and 33032?\nAnswer: 297288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.9 - 3. Let y = 321 - 321.2. Sort c, -3\/2, y in increasing order.\nAnswer: -3\/2, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 + 2300358794?\nAnswer: 2300358793.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -13 + 11 - 8*-5. Let p = b - 33. Let h(l) = l**2 - 7*l. Calculate h(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/64 and -91\/176.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7004 (base 10) to base 5.\nAnswer: 211004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 521 + -541.9. Let s = z - -21. Let a = -0.1 + -0.3. Sort -3, s, a in increasing order.\nAnswer: -3, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 65.6 - 12.6. Let h = -59.1 + c. Round h to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -11.3844, -27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + (-3 - -11) + (-5 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vavahhavhvvvlvl. Give prob of picking 1 h, 2 v, and 1 a.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*q - 3*q - 3*q)*(-7 - 7 - 10) to u*q + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 41411 (base 6) to base 14\nAnswer: 2047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + 9. Let y = s + -2. Calculate the remainder when 38 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 3 = 0, 0 = -z - 2*z + f - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 - 7*s**2 - 16*s - 7. Give q(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 421343149*v**2*w + 56*v*w + 27*v + 16670*w wrt v.\nAnswer: 842686298*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 10) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-3)\/h*(h\/(h\/((h*h\/(h*(h\/(h*h**(2\/17)*h))\/h*h))\/h)))\/h)\/(h**(2\/15))**(-33) assuming h is positive.\nAnswer: h**(44\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/771 or 0?\nAnswer: -2\/771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*2 - 4\/2. Suppose a + 2*a - 9 = p. Let w(z) = 4*z - 4*z - 4*z + a*z. Let t(f) = -f**2. Calculate w(t(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 + 51*l**2 - 715*l + 2533. Determine p(30).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + 20. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/h**(2\/9))*(h*h\/(h\/(h\/((h*h**5)\/h*h))))\/h)**(-19) assuming h is positive.\nAnswer: h**(817\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {i: 6, m: 1, v: 4, e: 3, d: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 6*r - 11*r - 5, -2*g - 3*r - 2 = 0. Solve -4*p = -11 - 5, g*v - 4*p = 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 93*t**2 + 97*t**2 - 191*t**2 - t to the form f*t**2 + i*t + x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 10018*h + 1502. List the prime factors of x(2).\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -35860590 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 288 = 4*w. Is -48 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -863881 (base 14) in base 4?\nAnswer: -101111020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(2\/19)\/i)\/i**(1\/8) assuming i is positive.\nAnswer: i**(-3\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -5*s - 7. Let h be a(-2). Suppose -f + 21 = 3*i, -2*i - h*i + 55 = 5*f. Is (1192\/16)\/(3\/f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*(c\/((c*c**(1\/5))\/c*c))\/c))\/((c\/(c\/(c**15\/c)))\/c))\/(((c\/c**(-2)*c)\/c)\/((c\/c**(1\/2))\/c)) assuming c is positive.\nAnswer: c**(-153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 648798 divided by -142?\nAnswer: -4569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = o + p, 8*o - 42 = 5*o + 2*p. What is the greatest common divisor of 852 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -6, -337?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of f**4\/24 - 117*f**2 + 3. Let y(o) = o**3 - 4*o**2 + 3*o + 3. Let u be y(3). Let c(l) = u*l - 7*l - 6*l. Give w(c(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/13, -685, 3\/7 in decreasing order.\nAnswer: 3\/7, -3\/13, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -3*p + 4. Let h(w) = w - 1. Let c(x) = -g(x) - 4*h(x). Let z(f) be the second derivative of 0*f**2 + 1\/3*f**3 + 5*f + 0. Give z(c(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 - 2*f + 31. Give b(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.30526 milligrams in kilograms?\nAnswer: 0.00002130526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 102*l**4 + 1743*l**3 - 1683*l**2 - 162*l = 0. Calculate l.\nAnswer: -18, -3\/34, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54205 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*u**3 - 4 + 2 - u**3 + 2.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h - 6 + 6.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5325029 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*u**2 - 11*u**2 + 19*u**2 - 11*u**2.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5\/280)\/(29\/93146 + 0). Let b = z + -403\/7. Find the common denominator of -11\/4 and b.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2202112 + 1012102?\nAnswer: -1120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0676, 2\/9, -2, -3, 4683.\nAnswer: -3, -2, -0.0676, 2\/9, 4683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 358*r + 65 = 1153 - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 5*b = 40, 4*q + 0*q = -2*b - 56. Let o(z) = -z**3 - 14*z**2 + 14*z - 16. Determine o(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 219286*s - 438573*s + 219289*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 270821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/20 + -1)\/(7*80\/(-175)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + -1 + -2*2. Let l(c) = 3*c**2 + 8*c - 37. Let d be l(3). Let t = d + j. Calculate the least common multiple of 2 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - 0)*(-12)\/(-8) + 3. Suppose s + 2*z = -4, o*s - 3*s = -2*z + 12. Sort 0, s, 1, -1 in increasing order.\nAnswer: s, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 6) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = p - 2*u - 6, -3*p + 21 = 3*u. Suppose -2*a = 3*a + 10, 0 = -p*g + 3*a + 1. Let c = -10 - -13. Which is smaller: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3492190279 a multiple of 1259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56749 is divided by 139?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2 + 13649699*n\/3 - 3033266.\nAnswer: -(n - 4549899)*(3*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 11.66.\nAnswer: -6.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c**2 + 12*c + 1. Let d be j(6). Let a(s) = 4*s**2 + s + 4. Let w(x) = -x**2 - x + 1. Let n(t) = d*a(t) + 5*w(t). What is n(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -60 - -65. Let j = 122 - 125.85. Let i = j + -0.15. Which is the nearest to 1?  (a) i  (b) z  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o**2 + 7*o - 1. Let w be 5\/((0 - 0) + 1). Let d = -1 + w. What is the lowest common multiple of f(-5) and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -497.3 + 497. What is the nearest to 0 in 7, r, 0.5, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 2:00 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1127.67 - 1127.02497. Let l = 0.649 - f. What is l rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17*m*x**2 - 1833*m + 8*x**2 with respect to x.\nAnswer: -34*m*x + 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = r - 0. Suppose 0 = -0*n - r*n + 6. Suppose -4*s + 7*s = -4*v + 18, -2*v = -n*s + 18. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b8c + 5bc07?\nAnswer: 5ca96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1511*k - 26358 - 21994 = 0 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -52 + 4. Let u be (10 + (-8)\/2)*(-9)\/(-6). Suppose u = 3*w - q. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-14 - (-1020)\/75) + 3\/(-5). Suppose -5*o + 17 = 52. Put 16, t, o in increasing order.\nAnswer: o, t, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 420 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1711 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and -209.4.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -36484527*m*o + 42274570*m wrt o?\nAnswer: -36484527*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 393 - 371. Suppose 19*f - 21*f = -n. What is the least common multiple of 101 and f?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 3:24 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/4  (b) -1  (c) 8  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5113 - -56150?\nAnswer: 64263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38406 - 267375\/7. Let y = -209 + x. What is the nearest to -25 in -6\/5, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3\/6 + 1085*z**2\/6 - 65400*z + 7884000.\nAnswer: -(z - 365)*(z - 360)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170 is divided by 142?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 727 divide 2652278477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/2*(-4 - -10). Let g = h + -6. Suppose p + 1 = g. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*p + 5*c = 1185, -348531 + 348481 = -3*p + 2*c for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/2 + 9*l**2 - 61*l\/2 + 21.\nAnswer: (l - 2)*(l - 1)*(l + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 414 and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (12 + -13)*(5 + 0). Let i be (p + 6)*2\/(-14). Which is greater: i or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6110839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of p**2 + p. Let v(c) = -2*c**2 - 32*c + 29. Let g be v(-17). Let h(y) = y - 4. What is g*t(r) - 2*h(r)?\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (192*r + 231*r + 58 - 381*r)*(3*r + r - 2*r).\nAnswer: 84*r**2 + 116*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n*n**(-7)*n**3*n**0\/n*n*n\/(n*n*n\/((n\/n**(1\/9))\/n)*n*n) assuming n is positive.\nAnswer: n**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 4 - 12 = 0. Let m(j) = 4*j**2 + 5*j - 5. Is m(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9 + 2424\/(-3 + 0). Are -1\/2 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -90 + 73 - (0 + -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*t**3 - 3*t - 4*t + t**4 - 2*t**2 + 4*t - 5*t to the form m*t + p*t**4 + z*t**2 + v*t**3 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -25231707\/29 at most -870059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 246, 247, 248, 249, 250?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 5:52 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1031 (base 5) to base 9.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -35.046  (b) 110\/19  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 AM and 5:08 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 + 6019 + 9 + -10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -2) + (9 - 15) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47 + 89. Let o = 59 - b. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 21, -3, 3\/2, 0.5, 3\/11?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -33, -45, -55, -63, -69?\n\"Answer: n**2 - 15*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178*r + 25*r - 8932 = 0. Solve 52*m + r = 41*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -25*a**3 - 2*a**2 + a - 6. Let c(r) = -1. Give b(g) - 6*c(g).\nAnswer: -25*g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 555 = -2*o, -2*x + 2*o = -3*o - 251. Let y = 160 - x. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x = 4*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5463 and 198.\nAnswer: 120186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*f*v**2*y**2 + 1778*f*v**2 + 2*f*v*y**2 + 2*f*v + 2*f*y - 38*v*y**2 - 4*y wrt v.\nAnswer: -4*f*y**2 + 3556*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 340 divided by 4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 34501300541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/71?  (a) -2\/3  (b) 4  (c) -0.6  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 1040*m**4 - 872733*m**3 - 728451*m**2 + 143642*m - 1680 = 0. What is m?\nAnswer: -1, 1\/80, 2\/13, 840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1181236093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 2*n = 10, 2*m - 3*n + 5 = -4. Calculate the remainder when m\/(-9) + 1300\/12 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -3*x + 4*x. Let k be 0\/(x + 3) - -2*2. Solve 2*i + 8 = k*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1b + -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3227  (b) 1\/6  (c) 0.6  (d) -4  (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.50758055 to two dps.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -2*c**7\/21 + 2*c**6\/15 + c**5 - 5*c**4\/3 - 8*c**3\/3 + 8*c**2 + 2*c + 1. Determine n so that b(n) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2572703*k - 4275574 with respect to k.\nAnswer: 2572703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 7  (b) -0.3  (c) -5  (d) -7  (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 13*d**2 - 7*d. Let n be v(-6). Suppose z - 1 = 4. Suppose z*p + 3*j - n = 0, 3*p - 408 = -p - j. What is p rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 85 - -30a8?\nAnswer: 3171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 34 + 459*g - 34 - 453*g + 1091*g as z*g + b and give z.\nAnswer: 1097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(2 + (sqrt(11) + 0)*3).\nAnswer: -12*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/2 and 45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = -2*t + 2*t - 270, -o - 2*o = -2*t - 1271 + 1376 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4036771 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -79 - -120. Suppose -3*y + 43 = -j. Calculate the highest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.6756 to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x - 4*q + 43, -159*q - 25 = 5*x - 160*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 38*z**5\/11 - 4556*z**4 - 1434852*z**3\/11 - 8688096*z**2\/11 + 21697470*z\/11 + 3636900\/11 = 0. What is z?\nAnswer: -15, -3\/19, 2, 1347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from smsswswwwwms. Give prob of sequence ssws.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 2*l - 8 = 0, 0*d + 4*l + 8 = 4*d. Suppose -34 = -0*i + 5*i + d*y, -4*y - 16 = 2*i. Let p = -3032 + 3030. Sort -1, p, 1, i in increasing order.\nAnswer: i, p, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 541 - 529. Which is the nearest to m?  (a) -14  (b) -0.4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((2580\/450)\/43)\/(51\/(-9))\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -26130 divided by 847\nAnswer: -26130\/847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*(4 + -1)*-1. Let l be (-9)\/(-12)*6\/9*4. Suppose -r = l*v + i - 53, -182 = -4*r + v. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1978130 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19104 divided by -48.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 5*m**3 + 110*m**2 + 84*m - 221. Let u(s) = s**3 + 22*s**2 + 17*s - 44. Let f(i) = 2*b(i) - 11*u(i). Let h be f(-21). Is -2\/65 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16*(110823\/848)\/(-51)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 102930.96 to the nearest 1000.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 4:29 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -143, -139, -133, -125?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k**3 - 696417*k**2 + 696417*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129*u + 545 = 239*u + 105. Let z be (1 - -1)*(1 + 0). Solve a - 16 = -u*g, -z*g - 5*a + 4 = -22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -74980254 + -2.\nAnswer: -74980256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 116530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 578*f**3 - 22 - 136*f - 3194*f - 576*f**3 + 19 + 382*f.\nAnswer: 2*f**3 - 2948*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -2*m + 8, 0 - 10 = -m - 3*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y = -44 + 65 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -718099297 greater than or equal to -718099295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 3:12 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124164 + 29603 - 50290 = 4065*m + 200674 for m.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Expand (2 - 5 + 0)*(5*x - x - x + (-x - 2 + 2)*(-8 - 11 + 20)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/19))**(1\/38) assuming u is positive.\nAnswer: u**(-1\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 6*i = 2*i - 285, -2*i = -m + 63. Let x = -34 + m. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1851 - 44473\/24. Calculate the common denominator of -3 + 4 + (2086\/(-156))\/7 and m.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 8.39288 grams?\nAnswer: 8392.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.114783 in -4, -17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(3) - sqrt(3)*4) - (-2 + sqrt(3) + 2)) + -4 + sqrt(9)\/sqrt(3)*1 + -3)**2.\nAnswer: 252*sqrt(3) + 1021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**3 + 100*l**2 + 5478*l = 0. Calculate l.\nAnswer: -33, 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.04 and -9848.\nAnswer: -393.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56 - -59. Solve 0*y - l*f = -2*y + 16, 0 = y - f - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1363 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 115081007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/1 + (0 - 11). Let q = f + 13. Suppose -q*x - 3*z + 10 = 0, 5*z - 2 = x - 4*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m - 23. Let g be o(-5). Calculate the least common multiple of (-5 - g) + 4\/(-10)*-5 and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 305097 is divided by 4180?\nAnswer: 4137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 3*a**2 - 2*a - 2. Let o = -4 + -29. Let p(m) = 16*m**2 - 11*m - 11. Let j(w) = o*y(w) + 6*p(w). Let x(k) = k**2. Determine j(x(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 248990 = -34*h + 44*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of -d**5\/5 - d**4\/4 + 88*d**3\/3 + 2591*d - 182. Find the first derivative of m(b) wrt b.\nAnswer: -4*b**3 - 3*b**2 + 176*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-66)\/99*306\/12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 11, 23, -189, 3, -3, 0 in decreasing order.\nAnswer: 23, 11, 3, 0, -3, -5, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/33712442 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157702 - 3*l**3 + 157702.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - c - 20 = 0. Suppose n + 3*h - 25 = 0, 0 = -4*n + 3*h + 41 - 16. Suppose s - n - c = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - -4) + -1 + 19. Suppose 0*f + 4*f = -p. Let s be (-4)\/2 + (-65)\/(-30) + 0. What is the nearest to 0.2 in f, s, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, 0.8, -0.1 in ascending order.\nAnswer: -0.1, 0.8, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.4 + -0.2. Suppose m - 4*j + 110 = 0, -j = 2*m + 3*j + 208. Let i = 106 + m. Which is the closest to -2\/7?  (a) i  (b) y  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.4 + -8.6. Let s = -2.2 - -4.2. What is the third biggest value in s, 1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -1\/5  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {k: 4, e: 6, r: 5, g: 3, a: 1, c: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + (11 - -19) - -17.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3446721?\nAnswer: 3, 59, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)*5 - (sqrt(84)*1)\/sqrt(12).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 5 = 5*v. Let f be (-6)\/(-2 + 3 + -4). Let l(k) = 3*k + 0*k**2 - 2*k - f*k**2. Give l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 84\/(-6)*(-6)\/(2*-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 3*a + 3 = 0, -a + 5 = -6*a. Suppose h*t = 5*t - 5*k + 55, k = -5*t - 25. Let y = -6 + 7. What is the closest to -0.1 in -4, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of w**3\/3 + w + 3. Let z(u) = u**3 - 10*u**2 + 5*u. Let t(y) = 5*f(y) + z(y). Does 5 divide t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -165, -4, -140 in decreasing order.\nAnswer: -4, -140, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) -227  (c) 54  (d) -739\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l**3 + 2*l**3 - l**3)*(0 - 2*l + 0)*(-5 + 0 + 1)*(1 - 7 - 2)*(-3*l + 4*l + 5*l) + 8*l**5 - 12*l**5 + 20*l**5.\nAnswer: 1168*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13375 = 1706*x - 1813*x. What is the remainder when 872 is divided by x?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 52523247*d**2 + 74496631 with respect to d.\nAnswer: 105046494*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -4*r + 78, 4*r - 38 = o - 107. Calculate the remainder when o is divided by (19 - (-4)\/(-2)) + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 63 + -59. Find the second derivative of -14 - 9 + 15*h - 17*h**r + 23 wrt h.\nAnswer: -204*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3526 or -3527?\nAnswer: -3526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 162953.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-16 - 43 + 8)*(-4*f + 2*f + f) to the form i*f + w and give i.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -17*j**3 + 8*j + 7. Let o be c(-1). What is the highest common divisor of o and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 698.777 millilitres to litres.\nAnswer: 0.698777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -14*13949.6\nAnswer: -195294.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + s + 553 = 0, 4*p - 2*s - 568 = 2*s. Let y = p - 78. Suppose -56*c = -y*c + 390. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, 28770, -2\/21?\nAnswer: 28770","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (24\/5)\/(-4)*(-23)\/(-92)*-5. Which is smaller: k or 23\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 359 - 204?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -3*s + 157. Let k be r(42). Suppose k*g - 25*g = 240. Calculate the remainder when 131 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 38 + -36. Suppose 15 = -n*i + 5. What is the remainder when (3 - 4)\/(i - -3)*88 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-11) + 11040\/22 + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 - 7. Let f be (-28 - 105493\/(-3772))\/(1\/4). Do f and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -6202, -6194, -6186, -6178?\n\"Answer: 8*u - 6210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 244897 a multiple of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -2*n**3 + 19*n**2 + 9*n - 161. Give d(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.181 * -28\nAnswer: 5.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b = 2*b + 945. Calculate the smallest common multiple of b and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -3, -1, -4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 3929258 - 2735930. Let t = b + 1078297. What is t rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 301932*m**3 - 777357*m**3 + 111818*m**3 - 697411*m**3.\nAnswer: -1061018*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 89\/2 of a centimeter in millimeters?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 4*s - 82 = 10, 0 = -2*s + 4. Let y = d + -25. Solve 0 = 3*t - y*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of i**5\/20 - i**4\/12 + i**2. Let d = 17 - 19. List the prime factors of g(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.154 and -5.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -53382*i + 53394*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -407*u + 7773. Let j be k(19). Solve 6*w - j*w + 68 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 29 and -0.029.\nAnswer: 28.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 106 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1977390771 a multiple of 447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16*b**4 + 11*b**4 + 23*b**2 + 13*b**4 - 11*b**4 wrt b.\nAnswer: 696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 15320 = 21640. List the prime factors of d.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 182272 is divided by 1688.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20 + -13230?\nAnswer: -13250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -31*c - 132 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 3 - 1 = 0. Suppose 0 = -2*l - 4*q + 82, -90 = -s*l + 3*q - 5*q. Suppose -4*k - 256 = -4*w, w - l = -0*w + 4*k. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/75463 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 7*j**2 + 4*j - j**2 - 3*j - 5*j**2. Let b(h) = -6*h**2 - 2*h - 2. Give b(k) + 5*c(k).\nAnswer: -k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 342791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 65615009 and 3017.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140 = 24*n - 4*w, 2*n + 472*w = 468*w + 114 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g**3 + 19033*g**2 - 38045*g**2 + 19012*g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {h: 2, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21807?\nAnswer: 3, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -243*y + 5*y**2 - 4*y**3 - 2*y**4 + 101*y + 127*y - 2*y**3 + 2*y**3 to the form h + n*y**2 + o*y**4 + s*y**3 + z*y and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k + 2. Let m(r) = -2*r - 7. Let x be m(-8). What is l(x)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12\/(-26)*(-209)\/(-1254). Which is the second smallest value?  (a) 46  (b) t  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 329*z + 376. Let h(k) = k + 2. Determine -188*h(j) + u(j).\nAnswer: 141*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0752 take away -3345838.5?\nAnswer: 3345838.5752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 4*l**4 + 717220*l**3 + 42867283104*l**2 + 854059169897216*l + 854016303331328 = 0.\nAnswer: -59768, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1423 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.19 + -1.224. Is -3 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135635560873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 137, 1666 in ascending order.\nAnswer: -24, 137, 1666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*sqrt(10))\/sqrt(2) - (sqrt(5) - (sqrt(30) + sqrt(120)\/sqrt(4))\/sqrt(6))) + 4)**2 + (((sqrt(180) - (1 + sqrt(180))*-2) + 1)*-2)**2.\nAnswer: 464*sqrt(5) + 6612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1120 + -122031001?\nAnswer: -122023221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24, -79, -164, -273, -400, -539, -684?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -43842895\/6 at most -7307149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 198 + -135. Let o = -58.1159 + 0.0159. Let a = j + o. What is a rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/5)*w\/(w\/w**(-9)))\/(w**(-7\/6)\/(w\/w**(4\/5)*w)) assuming w is positive.\nAnswer: w**(-187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.44, -3, -13, 1 in decreasing order.\nAnswer: 1, 0.44, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4953895 (base 10) to base 6\nAnswer: 254102411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d - d**3 + 3*d**3 - 4*d + (2*d - 2*d + 2*d)*(4 + d**2 - 4) + d**3 - 6*d**3 + 3*d**3.\nAnswer: 2*d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -491b6a (base 14) in base 4?\nAnswer: -21202312102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - f = 4 + 5, -5*f = 5*n. Let w(l) = -2*l - 5. Let r(s) = 540*s + 526*s - 1064*s + 6. Calculate n*r(h) + 4*w(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4377.426 months to centuries.\nAnswer: 3.647855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -365 + 3274\/9. Let f = -53\/36 - z. Which is the nearest to -0.1?  (a) 0.2  (b) f  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -5 + 3017*t + 2 - 3018*t. Let i = 187 + -79. Let q be (-10)\/3*i\/(-60). Give a(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 16 + 32 = 0. Suppose -5*q + 2*q = -g. Let p = -2 + q. What is the greatest common divisor of p and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 291369937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*c**4 - 3453*c**2 - 4169*c + 25 wrt c?\nAnswer: 48*c**2 - 6906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121021112001012211 - 20?\nAnswer: -121021112001020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 7*c + 8. Suppose 35 = 6*g - g. What is o(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-13)*((-3560)\/(-10591) - 6\/(-14))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a. Suppose 17 = 7*q + 3. Let x(o) = 17*o**q - o**2 - 5*o**2. What is v(x(c))?\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1001 and 539.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000229049 rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 414*k**2 - 24*k. Let r(f) = -2*f. Calculate 12*r(g) - t(g).\nAnswer: -414*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 3118\nAnswer: -9354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 + 2*t**2 - 4*t - 3. Let o(a) be the first derivative of -31 + 4*a + 5\/2*a**2 - 1\/4*a**4 - a**3. Determine 3*o(h) + 4*r(h).\nAnswer: h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -96 divided by -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + 5*d**2 - 10*d + 28. Determine u(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, m: 11, i: 2, h: 2}. What is prob of sequence hmh?\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 + 6*q + 3. Let n be m(6). Suppose 14 = z + n. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of 31 - 13\/4*p**4 - 16*p + 0*p**3 + 0*p**2. What is the first derivative of h(v) wrt v?\nAnswer: -39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + r + 8. Let q be h(0). Suppose s - 19 = -5*f - s, q = 4*s. Suppose f*y + 2*y - 45 = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((-4*(sqrt(325) - -2*(sqrt(325) + 1)) + 1 + -2)*-5)**2.\nAnswer: 135000*sqrt(13) + 5860125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of y**6\/1260 + 5*y**5\/63 + 8*y**4\/3 + 128*y**3\/7 + 3*y**2 + 13. Determine b so that t(b) = 0.\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 125\/72 and -125\/1968.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 672249061?\nAnswer: 11, 3037, 20123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k**(-28)*k*k*k**(-8)*k assuming k is positive.\nAnswer: k**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 68 + -47. What is the remainder when 83 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qoka when four letters picked without replacement from kaqoaoqqaaqak.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/215865 and -61\/319410.\nAnswer: 39287430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.05, 2\/7, 5, 0.2, -3\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1378 = -5*c + 2*j - 0*j, -3*c - 806 = 4*j. Let s = c + 420. What is the remainder when s\/5 - (-2)\/(-10) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 5*d + 5*w - 14, 0 = 2*d - 4*w + 4. Let n(c) = -3 - d - 4 + 4*c. What is the tens digit of n(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104*i + 80 + 250*i**2 + 198 + 104*i - 74.\nAnswer: 250*i**2 + 204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 48\/8*6\/48*4. Sort -3, -30, m.\nAnswer: -30, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 + 16*l + 33. What is o(-7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 374239.4 centimeters in micrometers?\nAnswer: 3742394000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 132919081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(2) + (3 + 2*sqrt(2))**2.\nAnswer: 12 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13722084.\nAnswer: 2, 3, 381169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 0 = -0. Let d be 3\/(-3) - (-2 + t + -1). What is the third derivative of -42 + 16*r**2 + 4*r**d - 12*r**3 + 42 wrt r?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h. Let q = -127 - -129. Let s(w) = 3 - 19 + 17 - 85*w**q + 27*w**2. Determine s(x(f)).\nAnswer: -232*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*c + 18915 = -7075. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -145 - -43. Let p = -4 + 2. List the prime factors of w\/(-3)*(-1)\/p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 2*j = 10, -2*j = -15 + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 245139?\nAnswer: -2\/245139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**5\/4 + 501*r**4\/2 + 63984*r**3 + 615040*r**2 = 0. Calculate r.\nAnswer: -496, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4115 + -16682945266.\nAnswer: -16682941151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5445382847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 115*k - 52*k**2 - 113*k**2 - 115*k + 4*k**3 - 3*k**3 - 1 + 5*k**4 in the form p*k**3 + o*k + s*k**2 + l*k**4 + h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 52\/72*8 + 4\/18. Suppose 5*o - 65 = -2*q, 5*q - 151 = o - 2*o. What is the greatest common factor of q and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - 32*d + 108. Let z be p(-35). Calculate the remainder when z + 7 + -1 + 38 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 56880 and -30?\nAnswer: -1706400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 140*m**2 + 4894*m + 340. Determine r(69).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -336*a**6 + 215*a**2.\nAnswer: -40320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -436\/11 and -39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 - 38*p**2 + 52*p - 14. What are the prime factors of m(37)?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 3*y + 75 = 4, -4*s + 5*y + 42 = 0. Let p = s - 15. Let r be 36\/(-45)*5\/p. Solve -r*m + 3*g = 19, -m + 4*g - 18 = -1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3\/11 + 6*v**2\/11 + 36*v\/11 - 80\/11.\nAnswer: -2*(v - 5)*(v - 2)*(v + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.01 + -2. Let m = 0.41 - o. Let i = -1.3 + 0.3. Which is the third smallest value?  (a) m  (b) i  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104)\/(sqrt(4) - -2*sqrt(4)))\/((sqrt(72)\/sqrt(4))\/sqrt(9) + sqrt(2)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w**2 - 2*w - 1. Let n be o(-1). Suppose -l - 12 = -3*l + 2*j, l - 4 = n*j. Suppose 0*u = u - l. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5637 is divided by 678?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1048715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(((-220)\/(-8))\/11 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 t, and 2 s when four letters picked without replacement from {n: 4, t: 1, g: 1, s: 5, c: 1, z: 7}?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from emlmlomlleeaeml. What is prob of picking 2 e and 1 m?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 103223734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = 3*j - 6 - 3, 0 = -3*p - 4*j + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.93 - -0.07. Let z be (-32)\/60 + 2\/5. Let o = -0.1 + -1.9. Which is the biggest value?  (a) f  (b) z  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.085 - -0.245. Let a = -5565 - -5565.160065. Let m = d - a. Round m to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 11*b - 51. Suppose 5*x - 281*v + 280*v - 19 = 0, -3*v = -x + 1. Give i(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/2))**(-8\/7)*(c**0)**(6\/7)*(c**(-1\/4)*c\/(c**8*c))**(13\/5) assuming c is positive.\nAnswer: c**(-3083\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -51201703\nAnswer: -2\/51201703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*x - 7 = 61*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i**2 - i + 3. Suppose -5*m - 2*d = -2, -22*m = -26*m - 3*d + 3. Calculate the least common multiple of 5 and f(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92872972?\nAnswer: 2, 17, 389, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = 5*z - h, -h = 2*z - z - 13. Let f be 8\/z - 838\/(-4). Let l = f + 487. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 + (-725)\/(-87) - 27)\/(2\/63).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -10*m**3 - 2126*m**2 + 25534*m - 484. Give n(-224).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.33 + -12.63. Let r = q - -12.299999086. What is r rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 (base 15) in base 9?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -682*u**4 - 134*u**2 - 2 wrt u.\nAnswer: -16368*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*r - 16*r - 5*w + 9, 5*r = -w - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -55 + -81. Let z(r) = 3*r**2 + 8*r - 4. Let l be z(8). Let m = s + l. What is m rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -336 >= 7.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j - 924 = 2266. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 11*q - 13460 = 0. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3505 - -3509. Solve 2*y = -4*d + 14, -n*d - 2 = -7*y - 43 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -17522372 at least as big as -17522371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*b + b + 4*b + (4 + 2 - 4)*(-4*b + b + 2*b) + b - 3*b + 0*b)*(-2 + 0 - 2) to the form p*b + y and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 158372?\nAnswer: 2, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-4) - (-204)\/8. What is the highest common factor of r and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 678 and 13706448?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 11:18 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, s: 5, t: 2}. What is prob of sequence ss?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5097, -10319, -15541, -20763, -25985?\nAnswer: -31207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.3 + -0.2. Let o = 7 - 6.92. Let n = o + 0.22. Which is the second smallest value?  (a) n  (b) -0.5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101200121 (base 3) to base 8.\nAnswer: -17160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1022*k - 686*k - 52244 = -81410 - 71606 for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -209, -3, 1, -5 in descending order.\nAnswer: 1, -3, -5, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - a = -48. Let v = -25 + a. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/6 and -23\/285.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 489289 and 1101223?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jssjssjjjsa. What is prob of picking 1 j and 1 s?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103740*d**2 - 17283*d**2 - 17278*d**2 - 17274*d**2 - 17283*d**2 - 17278*d**2 - 17349*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1\/101, 10, -2, -12.\nAnswer: -12, -4, -2, 1\/101, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**1)**(17\/6)*m**(3\/7)\/m**(-1\/2))**(-2\/43) assuming m is positive.\nAnswer: m**(-13\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 6, w: 10, e: 2}. What is prob of sequence yy?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 3\/2139755 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + -8. Let j = -1 - z. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4 + 272*o**3 - 16469*o**2 - 279422*o - 490776.\nAnswer: -(o - 143)**2*(o + 2)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + 10*n + 18. Let g be l(-8). Suppose -2*y + 102 = 4*o, -g*o + 2*y = y - 41. Differentiate -4 - o*b**4 + 4 + 1 + 6*b**4 wrt b.\nAnswer: -68*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4365696 and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -218108*i**2 + 217913*i**2 + 3 + i + 2 to k*i + d*i**2 + h and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3147 - 3147. Let d(t) be the first derivative of 2\/7*t**3 - 9\/28*t**4 + 1\/14*t**6 + 0*t + i*t**5 - 11 + 0*t**2. Let d(k) = 0. What is k?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 32 + -2 + 3 + -3. Let b be (6\/4)\/(h\/3280). Is (3 - (2 - -2)) + b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - -21. Suppose 6*j - 4*a + 12 = 2*j, 0 = -4*j - a + 13. Suppose -j*u + 28 = -0*u. What is the smallest common multiple of u and g?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 794, 815, 848, 893, 950, 1019, 1100?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 107 + -110. Let y be 44\/l - (-2)\/(-6). Is y bigger than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 115098 and -8.7?\nAnswer: 115106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/(u*u\/u**(2\/15)*u*u*u)*u**(-15))\/((u**13*u)\/u**(1\/5)) assuming u is positive.\nAnswer: u**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r**2 + 3*r + 2. Let f be o(3). Let i = f + 15. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.5, 3, 0.012, -0.2, -4\/5, -2\/11059?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8557\/5 + 1711. Let s = -44 + 85\/2. What is the second biggest value in s, f, -4, 0.055?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 - 8. What is the tens digit of 12\/(-20) + (-10632)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 10*t - 1034. Suppose -2*p + 72 = p. What is the remainder when t is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46539.\nAnswer: 3, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 42968 and 492.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 148 divide 417064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -484359 - -0.8.\nAnswer: -484358.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3280761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1\/974 + -70621\/5844. What is the common denominator of -31\/2 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t - 2*t**2 + 0*t + 11*t**3 - 4*t**3 in the form m*t**3 + g*t**2 + a*t + q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4779691256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002680469 to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94725?\nAnswer: 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 162546.6.\nAnswer: -812733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-7) - 44\/7. Suppose -4*x = -x + 6. Let z be 1\/(21\/f - x). What is the nearest to -0.1 in -0.2, z, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 4*j - 7. Let r be c(2). Is r less than 0.316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - 2*t + t)*(3 + 4 - 5) + (-3 - 2 + 3)*(5*t - 5*t + 2*t) + 1 + 2*t - 1 - 55*t + 119*t + 0*t.\nAnswer: 58*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (598\/312 + (-10)\/6)\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1.4 times -21.41334\nAnswer: -29.978676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y - 6. Let v be (-14)\/8*28\/(-7). Let m(n) = n + 7. Let g(q) = v*j(q) + 6*m(q). Let f(z) = -2*z**2 + z**2 - 4*z**2. Give f(g(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-14)\/((-6)\/(3 - 0)). Suppose -3*i + 2 = -z. Suppose 4 - 29 = -i*d + 2*q, 2*q = -2*d. Solve -d = -x - 0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/4 - (-7)\/6. Let s = -43 + 48. Sort 2, s, r in ascending order.\nAnswer: r, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -4*c**2 + 17*c - 579. Let d(v) = -2*v**2 + 9*v - 265. Let r(q) = -13*d(q) + 6*k(q). Determine r(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5881 is divided by 300.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - -117. What is the lowest common multiple of y and 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4783203\/1527876 - 4\/6. Let t = 2\/6063 + v. Find the common denominator of t and 95\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -196\/3*l**2 + 2\/9*l**3 + 0 - 590\/9*l = 0?\nAnswer: -1, 0, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -54 - -42. Let w be 2\/q*(-120)\/(-8). Which is smaller: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f**2 - f**4 - 19*f**3 - 24*f + 28*f - 2 + 16*f**3 to the form l + t*f**4 + q*f**2 + r*f + m*f**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 1. Let k(x) be the second derivative of 5\/4*x**4 - 15*x + 0 + 0*x**3 + 7\/2*x**2. Let b(n) = k(n) - 3*r(n). Differentiate b(q) with respect to q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 + -5. Suppose 3*s = 3*o - s - 15, o - a*s - 16 = 0. Let q(h) = -h**3 - 7*h**2 - 9*h - 20. Let t be q(-6). Put t, 3, o in descending order.\nAnswer: 3, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 3*j**2 - 52024*j + 104041*j - 52017*j.\nAnswer: 3*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of -2*n**3\/3 - 3*n**2\/2 + 4*n + 26. What is s(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -75, -7, 220, -3 in decreasing order.\nAnswer: 220, 0.1, -3, -7, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ozx when three letters picked without replacement from {c: 5, a: 1, z: 2, d: 2, x: 2, o: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.42 + 41.42. Let k = 16483 + -16523.9. Let w = k + j. Which is the third biggest value?  (a) w  (b) 1\/7  (c) -4  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -5*d + a + 12, -4*a = -d - 7. Suppose 4*u - d = 11. Factor -1\/3*l**5 - 2\/3*l**2 + 0*l**3 + 0 + 1\/3*l + 2\/3*l**u.\nAnswer: -l*(l - 1)**3*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + 1 + 394 + -443.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -35 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(-4) - 40\/(-64). Let p = -454 + 439. What is the third biggest value in 3, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(-3*p - 2*p + p)*(3 - 3 + 2*p)*(4*p - 3*p - 2*p) + (-20*p**2 - 18 + 18)*(3 - 3 - p).\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -23, 0.07 in descending order.\nAnswer: 3, 0.07, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1076506386?\nAnswer: 2, 3, 131, 211, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*b**4 - 62*b**2 + 62*b**2 + (-3*b + 4*b + b)*(-b**3 - 4*b**3 + 6*b**3))*(-5 + 4 - 1)*(-252 + 100 + 13).\nAnswer: -2780*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s + 232. Let b be d(-16). Calculate the greatest common factor of 50 and b.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 n, and 2 s when four letters picked without replacement from oossnmdsmomoo.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.35 from -500082.\nAnswer: -500081.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 8, x: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -24, -3\/128, -20, -2?\nAnswer: -3\/128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 24 = -3*c. Suppose -2*n - 6 = 2*a, -14*n - 19 = -2*a - 11*n. Sort a, 3, 5, c.\nAnswer: c, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26 and 34606?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 31*y**2 + 15*y - 19. Suppose -13 = -5*n + 3*c + 23, -2*c = -6. Is v(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18.142 + -18. Round o to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -180.8 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -534 + 534.0388. Let r = g - 3.0388. Let w = -0.2 - -0.25. What is the third biggest value in r, 0.3, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 6*s**2 - 9*s + 22. Let t = 731 - 727. Let d be l(t). Calculate the highest common divisor of d and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 20, 1\/4, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1369009801 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/4432 and -35\/22.\nAnswer: 48752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 40 + -38. Let s = -23.3 - -23.8. Sort h, 5, -1\/5, s in descending order.\nAnswer: 5, h, s, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**5 + 3*j**4 - 4*j**2.\nAnswer: -j**2*(j - 2)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(9\/5)\/y)\/y**(-1\/20) assuming y is positive.\nAnswer: y**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 163705, 327406, 491101, 654790, 818473, 982150, 1145821?\nAnswer: 1309486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -809, -6483, -21899, -51929, -101445?\nAnswer: -175319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 438704.\nAnswer: 2, 7, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 - 88*q - 1571. Determine j(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 + t**3 + 0*t**2 - 8 - 8*t**3. Suppose 24*g = -2*g - 156. Let r(b) = -6*b**3 + b**2 - 7. Calculate g*r(f) + 5*c(f).\nAnswer: f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-32)\/12 + 3)*-15 + 41. Solve 8*m + 12 + w = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145250 = 23*u - 49*u + 592942. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 + 5*y**2 + 2*y - 4. Let k be o(-3). Let g be (k\/(-10))\/(10\/75). Let t be (-4 - g)\/((-1)\/1). Are t and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c - 2. Let q be k(3). Suppose o + 3 = -2*t, o + 0 = q*t + 3. Calculate the least common multiple of (-11)\/(-3) + o\/(-3) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -42. Calculate the highest common divisor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 116 - 282. Let d = j - -100. Let z be ((-2)\/4)\/(11\/d). Solve 2 = z*f - 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200)\/sqrt(45))\/(sqrt(8) + sqrt(96)\/(sqrt(60)\/sqrt(5))).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.177 + 0.137. Let t = -0.04 - x. Let v = t - 3. Which is smaller: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 149*a**3*c**3 - a**3*c**2 - 2*a**3 + 235 wrt c?\nAnswer: 447*a**3*c**2 - 2*a**3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5922)\/564)\/(-12 + 16)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -126.24 - -228.73. Round d to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2037 and 24143.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 61 + -41. Calculate the least common multiple of r and ((-3)\/2)\/((-9)\/48).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17952 and 288?\nAnswer: 53856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from {p: 5, w: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 5\/3, 0.62, 0.1?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -12*t**2 + 248781*t + 62196 = 0.\nAnswer: -1\/4, 20732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8 - (-4)\/(-2)*1. Let f(w) = 4. Let p(s) = -s - 11. Let t(k) = -3*f(k) - p(k). What is t(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 2*l - 4*y + 166, 0 = -4*l - 2*y + 208. Let z = l - -24. What is the lowest common multiple of z and 4?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8784*u - 917584 + 2466516 = 2224*u - 950*u for u.\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 372\/17  (b) 2247  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + u + 167 = -0*u, -4*u = -5*k + 425. Suppose 5890 = -86*o + k*o. Let m = -7087\/6 - o. Which is the second biggest value?  (a) m  (b) 2  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(2\/3)\/(u**4*u*u) assuming u is positive.\nAnswer: u**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 975 divided by -325\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.2  (b) 0.3  (c) -7042  (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56 = -4*n - 24*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34821 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2221100 + -12112110122?\nAnswer: -12102112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h, 1 e, and 1 r when four letters picked without replacement from {h: 3, e: 8, r: 3, k: 3}.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5*b**3 - 25*b + 27. Let d(o) = -2*o**3 - 9*o + 9. Give -8*d(k) + 3*i(k).\nAnswer: k**3 - 3*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 95  (b) -9545  (c) 79  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 456.8 + -455. Let j = z - 1.7997709. Round j to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 PM and 5:08 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 281308 is divided by 3760?\nAnswer: 3068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 39532013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3\/3 - 8233*r**2\/3 + 16505*r\/3 + 96075.\nAnswer: -(r - 7)*(r + 5)*(r + 8235)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8108310 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -4*(-2 + (-123)\/12). Suppose 5*n - h = 2*j - 0*n, 0 = -4*j + 4*n - 68. Which is smaller: -11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -58?  (a) -2\/19  (b) 5  (c) 9  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, s: 1, j: 2, y: 1, i: 2, f: 1}. What is prob of sequence qs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -9*p + 29. Does 10 divide q(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -755 - 191. Suppose 69*h = 175*h - 4240. What is the remainder when 2\/(-8) + z\/(-8) is divided by h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 308159227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2 + 2420*f - f**2 - 4850*f + 2432*f. Let d(y) = y**2 - 3*y - 3. Determine 2*d(a) + 3*z(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -c (base 14) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, x: 3, g: 2, w: 2}. What is prob of picking 1 w, 1 x, and 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 848278, 1696555, 2544832?\nAnswer: 3393109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -10*h**3 - 11*h**2 + 11*h - 10. Suppose 2*m = -0*m + 4. Let l(w) = -w**3 - w**2 + w - 1. What is m*q(s) - 22*l(s)?\nAnswer: 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of h**6\/240 - h**5\/24 + h**4\/6 - 2*h. Let k(o) be the third derivative of x(o). Does 7 divide k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.6 or -173\/7?\nAnswer: -173\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 219*v. Let t be j(-2). Let w = -12151\/1470 + -5\/147. What is the common denominator of w and 4\/(-6)*t\/(-32)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 - 16*t**2 + 15*t + 16. Let a be p(-17). Let o be -1*(-1)\/(-5) + 35\/a. Which is bigger: -36 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 49 and 63770.\nAnswer: 446390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.07 - -1.14. What is the second smallest value in 4, -0.5, -4, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29.2 - 31.46. Let h = 26 + -26.27. Let s = f - h. What is s rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 16) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 349195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -46522 - 3?\nAnswer: -46525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 g when four letters picked without replacement from {g: 8, t: 2, q: 9}?\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-27)\/12)\/(1\/4). Let y be 3\/(-6) - i\/2. Find the second derivative of -10*k**4 + 10*k**y - 2*k + 2*k**5 wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 113301 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 + 16. Let w(p) = 2*p + 28. Let g be w(-12). Put g, 2, r in decreasing order.\nAnswer: g, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -g**4\/16 - 6*g**3 - 216*g**2 - 3456*g + 73. Factor l(v).\nAnswer: -(v + 24)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 30 or 11340\/391?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6268?\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-4) - 10\/(-4). Suppose 3 + 7 = -5*b. Sort k, -5, b.\nAnswer: -5, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*c*i*n**2 + 839*c*i*n + 2*c*i + 279*c - 516*i*n**2 - 53*i + 47 with respect to n.\nAnswer: -8*c*i*n + 839*c*i - 1032*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 45 + -45.12. What is the biggest value in 0, j, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d + 17. Let r(h) be the second derivative of h**3\/6 + 3*h**2 - 4*h - 117. Determine 8*r(k) - 3*t(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (46410\/(-75))\/7 - (-84)\/210?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -626 - -15652\/25. Put a, 1, 0 in descending order.\nAnswer: 1, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 7878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2934000 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is aa (base 12) in base 9?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + 67. Let g = -202 + c. Let u = -129.999929 - g. What is u rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.346 - -4.654. What is the nearest to 1 in f, -1, -4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 327.9 - 328. Let d = 296 - 151. Sort b, -3, d in ascending order.\nAnswer: -3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/27 in -97\/14, -0.5, 43, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3729 and 1851.\nAnswer: -1878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 38646.\nAnswer: -19323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u**3 + 24*u**2 - 86*u + 1192. What is o(13)?\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -784, -80, 8, 3, -3, 2, -4.\nAnswer: -784, -80, -4, -3, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -259, -526, -793, -1060, -1327?\n\"Answer: -267*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -220290*r + 108065*r + 109585*r in the form g*r + y and give g.\nAnswer: -2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.175 - -0.125. Let z = 3 + -3.6. Which is the nearest to 0?  (a) 1\/4  (b) z  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 + s + 5. What is g(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(6480)*-1 - sqrt(6480)) + sqrt(6480)) + (2*sqrt(6480) + sqrt(6480) - sqrt(6480))*-5)\/((-1*sqrt(90)*-2)\/((sqrt(110)*2)\/sqrt(11))).\nAnswer: -132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4 + sqrt(171) + sqrt(171)*1)**2 - ((sqrt(171) - (sqrt(171) + -1*sqrt(171))) + 1)*-2.\nAnswer: -1398 + 102*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b - 36 = 7*b. Suppose b*o = 5*o + 56. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 53 = 3*r, -3*q - 69 = 5*r - r. Let s = 110 - 71. Let f = r + s. Calculate the least common multiple of 4 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 - h + 19. Suppose 0 = 5*z - 3*z. Is 11 a factor of o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2\/7 + 5*c\/7 - 4\/7.\nAnswer: -(c - 4)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 169744891?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1924393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {e: 1, k: 1, m: 2, h: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(k\/(((k*k**(-3\/5))\/k)\/k))\/k)**(-34) assuming k is positive.\nAnswer: k**(-442\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20018567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from pooxxxxlp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, -261, -2 in increasing order.\nAnswer: -261, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nprtttatrnttaanmtntn. Give prob of sequence tt.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -23822.1425 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -376.33 - -370. Let y = -112 - -107.3. Let s = v - y. Round s to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-26)\/4)\/(107\/214).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2015851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -2.2. Let p = 2\/3 - 1\/3. What is the second biggest value in p, 2\/9, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 200*l + 193*l - 546*l + 150*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**3 + 1 - 1)*(5*q**2 - q**2 - 3*q**2) + (q**4 - 2*q**4 + 3*q**4)*((q + 2*q - 4*q - 1)*(-46 - 28 - 23) - 2*q + 0*q - q).\nAnswer: 190*q**5 + 194*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 18 + 24. Let z be 6 + -6 - f\/(-2). Let j = -5 + z. Let d(h) = -h**3 + 3*h**2 + h. Give d(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -2 + 1 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-45)\/(-9))\/((-5)\/(-6)). Let c(j) = 26*j + 6. What is the remainder when c(a) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 99 and 241362?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 13*j**2 - j. Let k(r) = r**3 - 11*r**2 - 22*r + 119. Let z be k(12). Let t(o) = -o**2. What is z*x(s) - 6*t(s)?\nAnswer: -7*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 481758098 to the nearest integer?\nAnswer: 21949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 40251, 40254, 40257, 40260?\n\"Answer: 3*l + 40248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*i - 26*i + 429 = 0. Calculate the remainder when i*-2*(-2)\/12 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25821*u**5 + 28*u**4 - 77*u**2 + 417*u?\nAnswer: 1549260*u**2 + 672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 176644\/717 < 247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) + (sqrt(75) - sqrt(75)*-2))**2 - (sqrt(3) + (sqrt(3) + (1*sqrt(3) - sqrt(3)))*-3)) + (-1 + sqrt(75))*2 - (-4*sqrt(30)*2)\/(2*sqrt(1210)).\nAnswer: 136*sqrt(3)\/11 + 1198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/((-162)\/165) - 44\/88. Factor 512\/9*g - l*g**4 + 0 - 56\/3*g**3 - 1\/9*g**5 - 320\/9*g**2.\nAnswer: -g*(g - 1)*(g + 8)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 68 + -63. Suppose -5*v + 4*v + 5 = 5*k, d*v - 5*k - 25 = 0. Suppose -v*i + 33 + 207 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 13, 12, 2\/9, 4, 2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7560?  (a) -6\/11  (b) 2  (c) 4\/5  (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o\/o**3)*o)\/(o\/o**10*o*o*o))**(15\/4) assuming o is positive.\nAnswer: o**(165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 7\/1306 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dxdihoh. What is prob of picking 1 d, 1 o, and 2 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*m + 83*m - 79*m - 12*m**2.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7633 divided by -471?\nAnswer: -7633\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 - 42*n**2 - 90*n + 2023. Let w be i(43). Determine y so that -17\/5*y + 0 + 1\/5*y**w = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1 + 8 - (5 - (7 - -1293)).\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 0) + -13 + (577 - 482) + 17?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9260*u - 48 = m - 9256*u, -2*m + 3*u = -36 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {n: 4, x: 5, h: 1, u: 1, l: 2, g: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*a - 797829 = 786413 - 1571204 for a.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 519*b - 203 - 242 + 26 = 100 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3559 = 56*z - 9887. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 12*s**2 - 2*s - 9. Let b be k(-12). Let p = b - -5. Calculate the smallest common multiple of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143991 is divided by 439?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16229584 a multiple of 1141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4)\/(sqrt(18)*-3))**2.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-60)\/(-1197)*-3)\/(3964\/34685*(-10)\/(-4)).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8*((-120)\/200 - (-71)\/(-40))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-27)\/102)\/((-340)\/1445)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 4)*(12 + 31 - 14)*(-1 - 1 + t**2 - 2*t**2).\nAnswer: 58*t**2 + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/((-3)\/12*-1). Let i(h) = h**3 + 6*h**2 - 4. Let t be i(b). Suppose n = -t + 82. Calculate the greatest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 24 + 16?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*d = -4*y - d + 128, -3*y - 81*d - 2 = -78*d - 35 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(42)\/(-1*sqrt(2))*-3)\/((sqrt(700) + sqrt(700)*-2)*3 + sqrt(700) - sqrt(700)))*3.\nAnswer: -3*sqrt(3)\/10 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37132 + -7581. Let x = s - 206208\/7. Let r = x + -93. Are -5 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 28\/10 + (-2)\/(-10). Let r(w) = 2*w**2 - 2 + 3*w - w**b - 7*w**2 - 4 - 5*w. What is the remainder when 6 is divided by r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -23 + 331*x**2 - 11*x - 7 - 332*x**2. Let w be g(-7). List the prime factors of (20\/12 - 1)\/(w\/(-489)).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 415*c + 16*b + 53 = 414*c, 12 = -3*c + b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6076 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 103 = -357. Let g be 439299996\/m - 68\/(-782). Round g to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence twwt when four letters picked without replacement from {w: 4, t: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x**6*x*x*(x*x*x*(x*(x*x**(-3\/2)*x*x)\/x)\/x)\/x*x*(x*x\/(x\/(x*x**12\/x*x)*x))\/x**(-2\/21) assuming x is positive.\nAnswer: x**(1075\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 492, 501, 522, 561, 624?\n\"Answer: v**3 + 2*v + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**(-6)*w**(-1\/2))\/((w\/w**3)\/((w\/w**(-4)*w)\/w)))**(-1\/51))**(-2\/19) assuming w is positive.\nAnswer: w**(9\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x - 1. Let h(f) = 9*f - 1. Let u(z) = 5*z. Let g(v) = 3*h(v) - 5*u(v). Let t be (-2 - (-17)\/5) + (-2)\/5. Calculate t*i(p) - g(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 4*y**2 + 13*y + 4. Let q(l) = l**3 + 10*l**2 + 10*l + 2. Let a be q(-9). Let d(z) = -3745*z + 7503*z - 3762*z - 1 - z**2. What is a*d(g) - 2*u(g)?\nAnswer: -g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -4\/743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 271 + -266. Let s(t) = -6*t + 21. Calculate s(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 960306567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of -p**6\/60 + p**5\/40 + p**4\/24 - p**3\/12 + 2*p. Factor c(s).\nAnswer: -s*(s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 759462 is divided by 878.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3, -12\/11, 6\/11 in descending order.\nAnswer: 5, 3, 6\/11, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (7 - 3) + (-2 - (-251 - 1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15*-441 + -119*18\/(-765)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 9 - 4 = -3*w, -5*w + 939*g + 25 = 937*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j**2 - 8. Let i be n(-2). Let x(v) = v**3 - v**2 + v - 21. Give x(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from etuuueutzeezeuzeeee. What is prob of sequence teez?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-273)\/(-6) + 1)\/(54\/144). Let v(x) = -14*x**2 + 2. Let f be v(2). Let y = k + f. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 338 divided by 1.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20110103300 (base 4) to base 16.\nAnswer: -2144f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 2 - 1. Let n = 7\/17 + 3\/34. Suppose -3*p - 8 = -p. What is the nearest to x in -1\/3, n, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -591, -3171, -7745, -14313, -22875, -33431?\nAnswer: -45981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1506*o + 1442*o + 7823 + 9265. Let g be 1426\/4 + (-1)\/2. What is the highest common divisor of g and o?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -8 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x = -3*x - 12. Let f be x*1\/(4\/6). Let l be (-4 - 0)*f\/(-42). What is the third biggest value in -0.4, -1\/2, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 PM and 12:46 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53*(2 - 3)*(-118 + -133 + 252).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -365, -14, 4, 25, -5, 29 in descending order.\nAnswer: 29, 25, 4, -5, -14, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197633?\nAnswer: 257, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 737640 divided by 147528.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 9*q**2 + q + 13. Let a be g(-9). Let p(r) = 11*r - 4. Let x be p(1). Suppose 0 = -0*s + x*s + 28. Sort a, s, 5.\nAnswer: s, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -48*c + 618. Let t be v(13). What is the fourth smallest value in 3, 0.1, t, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2007*j + 680 = 1928*j - 4020*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 100946\/45 - 2244. What is the common denominator of d and -91\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32587 is divided by 10748.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -12 + 5\/((-10)\/4). Let x = 24 + s. Suppose 2*z + 3*k + x = 73, z + 5*k - 35 = 0. Calculate the greatest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 11. Let r(w) = -12*w - 5. Let c be r(-10). Suppose u - j = s*j + 34, -4*u + c = j. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 62, 257, 582, 1037, 1622, 2337, 3182?\n\"Answer: 65*x**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1265.99998838 - -1266. What is u rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -165  (b) 0.06  (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 3 + 22. Let a = o - -154. What are the prime factors of a?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1471 a factor of 36249325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-55*l + 46*l + 93*l)*(2 + 0 - 1)*(-3 + 3 - 3*l).\nAnswer: -252*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50\/8 - (8 + 28)\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1404651 and 3876.\nAnswer: 95516268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**3\/6 + 24*h**2 + 24*h. Calculate the lowest common multiple of 8 and d(-17).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9567 is divided by 164?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0*(6 + -2 + -3). Solve u = 2*a + 6*v - 2*v - 6, -4*v + 11 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-4))\/((-4320)\/(-8400))?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 964 divided by -2?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*d**3 - 137*d - 8*d**2 + 17*d**3 + d**2 - 14*d**2 - 9*d**3 as f + x*d**2 + j*d + q*d**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y**3 + 14*y**2 - 24*y = 0 for y.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 less than 12589943?\nAnswer: 12589931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75 = 2*o - 10*r + 31, 0 = -59*o + 62*o + 5*r + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 31232301 + 122?\nAnswer: 31233023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fscjsjjjjsnuu. Give prob of sequence jc.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 101\/31 - 8261\/2821. Is r > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-9)\/(-6))\/((-1)\/(-2)). Let j(r) = -14*r + 4*r**2 + 12*r + r**3 + p + 6*r. Let d be j(-3). Solve 3*h = -d*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 455*c = 110547 - 818527. Is c at least -1551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3621779 is divided by 1258?\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 44 + 30. Suppose -3*i - 17 = -r. Calculate the highest common divisor of i and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (280\/588)\/((-30)\/(-28)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4223, -4259, -4295, -4331, -4367?\n\"Answer: -36*h - 4187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 93774 + -93771. Suppose 5 = -5*u + 25. Sort 6, s, -2, u in ascending order.\nAnswer: -2, s, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 - 2*m - 1. Let c be s(3). Solve -q - c*u = -4*u + 14, -2*q - u = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.83*-0.21\nAnswer: -0.1743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30*((-205)\/2460)\/(2\/16).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -404*m - 4025008 = -20288432. List the prime factors of m.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r = -13*r + 15. Suppose 3*u - 6*a = -2*a + 33, r*a + 37 = 4*u. What is the biggest value in -3, 2, u, 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 105 by -21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**3 - 3628*v**2 + 3625*v + 7254 = 0. What is v?\nAnswer: -1, 2, 3627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -174*z**5 + 3*z + 118 wrt z.\nAnswer: -3480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3133687\/203 - -15437. Calculate the common denominator of i and -33\/7.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -7*u + 8. Let r(v) = -v - 1. Let g(a) = -n(a) + 5*r(a). Let t be g(7). What is the smallest value in 2, t, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-4)*550\/(-55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/485 in -0.5, -4\/7, 0.57?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -2*m + 10747, 3*m - 4*w - 2201 = 13908. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34216661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -5*sqrt(75) + 3 + (sqrt(75) + sqrt(75)*-3*-2 + sqrt(75) + sqrt(75) + -1 + 0)**2.\nAnswer: -115*sqrt(3) + 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1224 by 408.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 101\/79568 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -16 + 0.176\nAnswer: -15.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*o - 6 - 102. Let v(z) = -6*z - 2. Let x be v(-2). Is o less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118802 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 42*y**2 - 3*y**3 + 3 + 45*y**2 - 87*y**2 wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 - (33\/(-27) + -1). Let v = 32\/9 - y. Which is the second smallest value?  (a) 3  (b) -0.07  (c) -0.5  (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11744 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22061116.\nAnswer: 2, 7, 11, 41, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8 - a02?\nAnswer: -9a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.7 - 6. Let g = 2.7 - 2.7. Sort y, g, -2\/5 in ascending order.\nAnswer: -2\/5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 746.7 to the nearest 10.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 + 2*g + 4. Let u be h(0). Let w be ((-6)\/u)\/(270\/(-40)). Let t = -51.2 + 51. Put t, -2, w in decreasing order.\nAnswer: w, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 35*s - 30*s - 17, -5*s - 5*j - 25 = 0. Solve -5*y - 24 = s, i + 4*y = -22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2825981, 2825976, 2825967, 2825954, 2825937, 2825916?\n\"Answer: -2*m**2 + m + 2825982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 5*u**2 - 62*u - 46. Give q(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v**2 + 24*v - 14. Suppose -9 = 12*t - 16*t - 5*x, -12 = 4*x. What is the remainder when 403 is divided by m(t)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-16)\/(-10))\/(20\/350) - 0. Suppose -591 - 2797 = -11*u. What is the greatest common factor of f and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*b**2 + 0*b**2 - 3*b**2 - 3*b**2 as j*b**2 + s*b + o and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 4:45 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1 + 0. Let q = 36 - 36. What is the closest to -0.1 in q, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50479410785827 less than 0.1?\nAnswer: -50479410785826.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 938536 and 28016?\nAnswer: 1877072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104 (base 14) to base 16.\nAnswer: c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*c**2 + 0*c**2 + c**2)*(-1 + 5 - 3) - 3*c**2 - c**2 - 3*c**2)*(0 + 4*c + 0).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3198 + -3173. What is the remainder when 2446 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8242845, 8242852, 8242859?\n\"Answer: 7*j + 8242838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 208387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-22)\/(-4) + -35 + 30. Let t = 4.9 + -5. Put 4, 23, t, p in descending order.\nAnswer: 23, 4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46105 + 77512 + 92249 = 41*l. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -445 + 7563\/17. Let k = 247\/4 + -62. What is the nearest to -1\/4 in a, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184378237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - (-44)\/8) + (-3)\/1. Which is the nearest to 0.1?  (a) 3\/7  (b) j  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 10*o**2 + 4*o + 3. Let h be (6\/1)\/(6\/20). Let c be (-7)\/4 + (-5)\/h. Is a(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-1*(0 + sqrt(2299)) - ((4*-1*sqrt(2299) + sqrt(2299))**2 + sqrt(2299)))*6.\nAnswer: 792*sqrt(19) + 744876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(0 + sqrt(7) + -4 - (1 + sqrt(175))**2).\nAnswer: 27*sqrt(7) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(6086\/(-136) + 44)\/((-105)\/(-2)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = 6*w - 2 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/2 + -15 + 4. Let p be (t - 87\/(-9))\/(4\/6). Solve -p*m = 3*i - 4, -3*m + 2*i - i = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gagd when four letters picked without replacement from zwwvadgv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*(22 - (-301)\/(-14)). Suppose -2*u + 0 = -2. Let p be 2 - (2 - (3 - u)). Solve -p*v + 4*q + i*q = -4, 4 = 3*v - 4*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (3 + -2 - 1)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 - -6. Let n = c - -6. What is the nearest to 2 in -1, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -633 = -3*z + 3*o, 2*o + 8 = 2. Let w be (5*(-1030)\/(-25))\/2. Let r = z - w. Calculate the highest common divisor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/618 and -1 + 3\/(-1863)*-477?\nAnswer: 14214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 + 6*f**2 + 3*f - 11. Let w be b(-4). Solve 0 = -3*r + q - 1 + w, 4*q + 4 = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 346*l + 3 = -2*j + 343*l, 0 = -2*j + l + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.9 + 10.9. Let o = 0 + f. Let b = o - 14. What is the third smallest value in -0.1, -2, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18835\/78 or -241?\nAnswer: -18835\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7.67 + 0.23. Let i = a + 0.1. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7647545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 - 18*t + 16. What is the remainder when v(12) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/((o*o**9\/o*o*o)\/o*o))**(3\/4)*o**0\/(o**(-4)\/o) assuming o is positive.\nAnswer: o**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -54372 - 5?\nAnswer: -54377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2 + 9155832*x + 146492288.\nAnswer: 4*(x + 16)*(x + 2288942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 64 - 36. Let v(g) = -40*g + 48. Let p(t) = -1241*t + 1496. Let x(u) = 6*p(u) - 187*v(u). Let a(m) = -7*m. What is q*a(h) + 6*x(h)?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -17914320.9 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*c**3 - 2*c**3 + 2*c**2 + 5*c**4 - 26523078 + 26522506 in the form f*c + k*c**3 + i*c**4 + h*c**2 + u and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1*(sqrt(2736) + sqrt(2736) + -2 + sqrt(2736) + 3)*-5*-5)**2.\nAnswer: -61562500 - 180000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3556 is divided by 1177?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -133. Suppose b - 54 = x, 3*b - 4 + 127 = -2*x. Let s = i + x. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70 + 90 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 7026*o - 25762. Let p(x) = x + 11. Let z(v) = -2*c(v) - 4684*p(v). Let y(n) = 2*n. Give y(z(g)).\nAnswer: -37472*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1736992 divided by -31\nAnswer: -56032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of g**5\/30 + 7*g**4\/24 + 7*g**3\/6 + g**2. Let v(t) = t**3 - 24*t**2 + 22*t + 18. Let j be v(23). Does 11 divide y(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -610*m + 9. Let n(g) = -667*g + 10. Give -3*n(w) + 4*s(w).\nAnswer: -439*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/781 and 63\/938975.\nAnswer: 10328725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 101251189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30 + 32.4. Let q = k + 2.6. Let r be (-2)\/(-3) + (-16)\/15. What is the second biggest value in r, -3, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cfgccfccfnnfc. Give prob of picking 1 g, 1 f, 1 n, and 1 c.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1403 - 54. Let i = -887 + c. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(102) + sqrt(102) + -2*sqrt(102))*4)\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*q - 162984 = -75*q. Suppose -34*m + 11816 = -q. What is the highest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*g**2 - 24*g + 24*g - g**2 - 1 + 1 + (-g + 0 + 0)*(4*g + g - 4*g) as p + b*g**2 + o*g and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -96389, -96357, -96325, -96293?\nAnswer: -96261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -572455, -1145002, -1717539, -2290060, -2862559?\n\"Answer: n**3 - n**2 - 572551*n + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(68\/17 - (-6 - -9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*h + 0*h + 29*h**2 - 4*h to l + f*h + s*h**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -781, -2907, -6467, -11473, -17937?\n\"Answer: -2*g**3 - 705*g**2 + 3*g - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 815242923 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2 + 2486*x - 7476.\nAnswer: 2*(x - 3)*(x + 1246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5 + -3*14\/(-3). Solve 5*o = c*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252) - (0 + sqrt(252) + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -9963, -39755, -89399, -158895, -248243, -357443, -486495?\n\"Answer: -9926*b**2 - 14*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12920 - 12642. Calculate the least common multiple of i and 3.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4 + -13)\/(-3))\/(3*(-3)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 5*s + 15, x - 22 = -4*x - 3*s. Suppose 0 = x*v - 5*q, 2*v - q - 3*q + 4 = 0. Solve -4*w = -5*l - 0*l - 9, 0 = -w - 3*l - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + 0 + sqrt(11) + -4 + -4 + -4.\nAnswer: -12 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001582 rounded to seven decimal places?\nAnswer: 0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 48*w**2 - 20*w + 7. Let b(r) = -48*r**2 + 21*r - 6. Let l(m) = -4*b(m) - 3*d(m). Factor l(j).\nAnswer: 3*(4*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3190*y - 1722*y + 2512*y + 0*y - y + 3*y + (-1 + 1 - 1)*(3*y - 3*y - y))*(4 + 55*y - 4) to the form h*y**2 + a*y + m and give h.\nAnswer: -131835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 + 30*d**2 + d + 23. Let x be k(-30). What is the common denominator of (x\/140)\/((-3)\/339)*1 and 57\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1511 (base 7) to base 11\nAnswer: 4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 3 - (-1 - (-2 + 17 + -3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + p. Suppose 3*v - 6 = 0, j - v + 4*v - 7 = 0. Let b = j + -3. Determine u(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2536479 and 20061243?\nAnswer: 220673673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10949?\nAnswer: 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 5*b + 0*b - 68 = -7*n, -4*b = -2*n + 8 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9715 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 69 = 5*x, 5*x - 4*d - 65 = 7. Let s be (x\/760)\/(36\/10). Let v = -2681\/456 + s. What is the common denominator of -65\/12 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 7 + 1)*(-5*j + 3*j + j)*(-2*j**2 - j + j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 + 26*b**2 - 26*b + 33. Let t be n(-27). Suppose 1 = -r - a, 4*r - 3*a - 5 = t*r. List the prime factors of 4\/(((-2)\/(-5))\/r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 478189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2555*-0.2.\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h + 748 - 108 = 0. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 9*m**2 - 2*m - 1. Let n(p) = -2*p**2 - p - 1. Determine 3*n(w) - 3*x(w).\nAnswer: -33*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 4:22 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t - 4 = -8*t + 2*u, 2*t - 2*u - 12 = 0. Let x be (-3341)\/104*-57214 - t\/(-8). Round x to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 2*j = 1, 4*n = 57*j - 59*j - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/5)\/((-4)\/10). Suppose -4*m + 34 = -54. Calculate the lowest common multiple of -15*6\/(-9)*c and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-104)\/(-32) - (-2)\/(-8). Suppose -o + 1 = -g. Does 7 divide o + 31 - (2 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.43 and -1.35.\nAnswer: -1.9305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -22.70095 and 426.52?\nAnswer: 449.22095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/3*(-1)\/14. Let y be 1 + 3\/9*-2. What is the closest to u in y, 1, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 49584, 49583, 49582, 49581, 49580, 49579?\n\"Answer: -a + 49585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -264 + 284. What are the prime factors of (-5)\/a - (-3434)\/8?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from zzbb.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, n: 1, k: 1, h: 1, f: 1}. Give prob of sequence kfb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = p + 19. Let o(w) = -w**3 - 9*w**2 + 22*w + 9. Calculate the smallest common multiple of o(-11) and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2*(-23676)\/(-4)*4\/12.\nAnswer: 2, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -214099, -428222, -642369, -856552, -1070783, -1285074?\n\"Answer: -2*g**3 - 214109*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d + 2. Let w be v(-3). Suppose 0 = m - w, -36 = 4*o + 4*m - 116. Suppose -o = -5*n + 5. What is the smallest common multiple of 22 and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 8*w**2 - 21*w + 4. Give m(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 2:52 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4818 - 7962. Let o = 37783\/12 + w. What is the common denominator of ((-89)\/(-4) - 0) + 1 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -h**2\/2 + 21*h\/2 - 19 = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 6*m + 6. Let l = 414 + -419. Calculate z(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 2221276263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -5*k**2 + 105365*k + 316140 = 0.\nAnswer: -3, 21076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**2 + 1420*d + 26400.\nAnswer: 5*(d + 20)*(d + 264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000330684987 to six decimal places.\nAnswer: 0.000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2313 in -34, 17\/3, -0.17?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 152219400 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 2*sqrt(1008))*1 + ((sqrt(448)*-4 - sqrt(448))*-2)**2*-5.\nAnswer: -223995 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - n = 4*n + 6811, 4*d + 3*n = 6851. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3703973 divided by -403.\nAnswer: 9191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f*f**5*(f*f**(-1\/4)*f*f*f)\/f)**(-17\/3) assuming f is positive.\nAnswer: f**(-731\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - 120223?\nAnswer: -120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of -5*v**5 - 5*v**4 + 5*v**3\/3 + 14. Factor g(y).\nAnswer: -5*y**2*(y + 1)*(5*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 264 or 1053\/4?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73474, -147004, -220534, -294064, -367594, -441124?\nAnswer: -514654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1*(-4)\/5)\/(72\/76500). Let o = d - 277. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-k - 3 + 3*k + 0)*(0 + 1 + 1) in the form m*k + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 18\/30 + 7\/5. Solve -3*v - p = -h + 6, -3*h - 24 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/7 + 2349*p**2\/7 + 51234*p\/7 + 93080\/7.\nAnswer: (p + 2)*(p + 20)*(p + 2327)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(980))\/sqrt(10) + -4)**2*1.\nAnswer: 280*sqrt(2) + 2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-144)\/(-30) + 1\/5. Suppose -4*o + 13 = -8*o + 5*n, -q*o = -5*n + 20. What is the second biggest value in -2, 6, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39 + -39. Suppose b*g + 3787 = 7*g. Suppose 21 = -4*t + g. What are the prime factors of t?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -25  (b) 1\/3  (c) 1\/5  (d) 5\/2  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -378*r + 24233. Give k(64).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 7838001\nAnswer: 2\/7838001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y - 19*y**5 + 0*y + 33*y**5 + 18*y**5 + 13*y**5 + 27*y**5 - 13*y**5 + (-2*y**4 + 3*y**4 - 2*y**4)*(3 + 2*y - 3).\nAnswer: 57*y**5 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*i, 5*t - 2*i - 9 = -4*i. Sort 6, -1, -2, t.\nAnswer: -2, -1, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 6:43 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -20414 + -121?\nAnswer: -20535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cwkk when four letters picked without replacement from ceweqwkekw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-2)*-1*204\/(-1360)*-30?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2127634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 - -20)*1\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) - (sqrt(132) - -1*sqrt(132)*1)))\/sqrt(11))\/(sqrt(576) + sqrt(576) + 1*(sqrt(576) - 1*sqrt(576))).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8\/10*-1)\/(6\/(-120)). Solve -2*c + 6*c = d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 16372.\nAnswer: 49116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d + 3757260*d**2 + 0*d - 3757393*d**2 - 11*d**3.\nAnswer: -11*d**3 - 133*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -0*q + 4*g - 1, 3*q + g = 14. Suppose 0*c = q*c - 15. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5987 + 59823\/10. Let v be -1*3*(-13378)\/16. Let c = v + -2513. What is the common denominator of n and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 4*g - 16, n - 303*g - 4 = -305*g for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1211, 0, 832.\nAnswer: 0, 2, 832, 1211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 >= 105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2162, 2397, 2770, 3275, 3906, 4657, 5522, 6495?\nAnswer: 7570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, j: 3, q: 5, e: 1, d: 6, l: 1}. Give prob of picking 2 d, 1 q, and 1 b.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/24 and -81\/52.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-5*(sqrt(121) + -2*sqrt(121) + sqrt(121)) + (sqrt(121)*1*-3 - sqrt(121))))\/(sqrt(121)\/(sqrt(11)*-4) - (sqrt(11) - sqrt(44)*3)).\nAnswer: -80*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -217 - 749 = -7*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 68\/13  (b) 0.5  (c) -2\/5  (d) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -4, 5, 0.5, -25, -2.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 992089544 to the power of 1\/2, to the nearest integer?\nAnswer: 31497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 105, 199, 357, 579?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/3 < -25128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*m + m + 16*m = 207*m - 9116 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-35457)\/(-265) + 2\/(-10)*-1 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18364530133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 12) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/152872 and 125\/5274084.\nAnswer: 10548168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*k - 71*k = 6. Put k, -4, -5, -12 in ascending order.\nAnswer: -12, -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 7, -2, 5, 1, 31 in descending order.\nAnswer: 31, 7, 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 9:15 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 45, 46, 55, 78, 121, 190, 291?\n\"Answer: y**3 - 2*y**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 19 + (-3 - -2) + 2. Let j be 0\/((-5)\/(z\/12)). Suppose 0 = 4*k - j*m + 4*m + 12, -4*k = -4*m + 4. Is -2 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18220?\nAnswer: 2, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 18129*i + 4 - 53251*i + 2.\nAnswer: -71380*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -3\/7, -0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-6)*13\/(52\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -158 - s + 160 + 70 - 7*s - 4*s**2 wrt s?\nAnswer: -8*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9395581*s**3*v**2 + 12*s*v**2 - 4*s + 30642 wrt s?\nAnswer: -56373486*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t = 7*t - t - 6 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4139394960 divided by 4?\nAnswer: 1034848740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 319037664 from 3.\nAnswer: -319037661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + (-18 - 0) - -14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -12*h + 13*h. Let n = 6 - h. Suppose -3*z - m = -16, z + n = 5*z - 4*m. Let w(y) = -y**2 + 6*y - 5. Calculate w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 70, 4, -50, 3 in increasing order.\nAnswer: -50, -5, 3, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1 - 0.5. Let z = 0 - x. Let l = 19\/36 - 3\/4. Which is the biggest value?  (a) l  (b) -3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 822.3397 litres?\nAnswer: 822339.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 269, 1078, 2425, 4310, 6733, 9694?\nAnswer: 13193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -6*q**2 + 339*q - 167. What is h(56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -3  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*p + 3*p = -4*x - 24, -4*x + 2*p - 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 18596979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -23, -56.2, -1.35, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 678191443*g*j**3 + 442*j**3 - 396817 wrt g.\nAnswer: 678191443*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -50*n**3 - 3*n**2 - 2*n. Let l be -3 + (2 - 3) - -3. What are the prime factors of p(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 428.3 - 397. Let v = i + 9.2. Round v to 0 decimal places.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -157, -103, -23, 77, 191, 313, 437?\n\"Answer: -q**3 + 19*q**2 + 4*q - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.35 + -32.65. Let f = a + 32.48. Let p = -0.18 + f. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11260.0493 + -0.1312528.\nAnswer: -11260.1805528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 2*n + 18832, -4*n = 32*k - 27*k - 94160. List the prime factors of k.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -7. Suppose -a = -n - n. Let w(u) = -2*u**2 + 3*u**2 - n*u**2. Let c(l) = 2*l. Determine w(c(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -132*y + 52*y + 942800. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1276 and 21024652?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 12\/(-45))\/(-719 - -718)*(-5)\/(-3)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-17)\/(153\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2 - 5*u - 2*u**2 - 4*u + 6. Let l be j(-10). Is 16 a factor of (84\/30)\/(l\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/296360 and 66\/1518845.\nAnswer: 12150760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3 = 6. Let w(c) = u*c**3 + 4*c**3 - 6*c**3 + 2*c**2 - 8*c**2 - 8. Calculate w(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 172 and -438?\nAnswer: -75336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 4 = 2*u - 2, 2*u - 3*k = 16. Solve 2*a = -3*a + u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.5 - -4.5. Let h = 10 - g. Let c = h - 6.5. What is c rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 + 12. Suppose 0*o + o - 2 = l. Sort -1, o, 3 in decreasing order.\nAnswer: 3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -22, -84, -194, -352, -558, -812?\n\"Answer: -24*j**2 + 10*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of 1\/30*n**5 + 2*n**2 + 0 + 2\/3*n**3 + 1\/4*n**4 + 0*n. List the prime factors of y(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 10259876*g**2. Let t(p) = -27*p**2. Calculate t(l(q)).\nAnswer: -2842156499455152*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/8 + 236\/16. Solve -21 + 6 = d*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 55, 128, 255, 454, 743, 1140?\nAnswer: 1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 459633?\nAnswer: 3, 349, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.30657 less than -72?\nAnswer: -52.69343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 245*w + 488. Let d be g(-2). What is the closest to 19 in -0.5, 2\/9, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -218, -223, -240, -275, -334, -423, -548?\n\"Answer: -t**3 + 2*t - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 + 1473891*s**2.\nAnswer: 3*s**2*(s + 491297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -16*h**3 - h**2 - 4*h - 4. Let f(k) be the second derivative of -47*k**5\/20 - k**4\/4 - 11*k**3\/6 - 11*k**2\/2 + 2*k - 31. Calculate -11*c(l) + 4*f(l).\nAnswer: -12*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 234466 (base 8) to base 14.\nAnswer: 21314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4361955 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -16*p - 10. Let x(v) = 19*v + 11. Let l(d) = -6*u(d) - 5*x(d). Suppose -2*f + 3 = 15. Determine l(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 1  (b) -2  (c) -4  (d) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-12)*v))\/(v**(-2\/11)*v) assuming v is positive.\nAnswer: v**(123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 102761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -6*u**2 - u - 1. Let b(m) = 26*m**2 + 3*m + 3. Let x(f) = -2*b(f) - 9*o(f). Let s(p) = -2*p**2 - 4*p - 3. Give 4*s(d) + 5*x(d).\nAnswer: 2*d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 10*n**2 - 31*n + 13. Let q(u) = -5*u**2 + 17*u - 7. Let m(d) = -6*o(d) - 11*q(d). Calculate m(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/3)\/q)\/q)**(3\/17)\/((q**4\/q*q)\/(q\/(q**(-6\/7)*q))) assuming q is positive.\nAnswer: q**(-402\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 16 = 3*u, 3*b - 7*b = -u - 12. Suppose -41 = -b*i + k, i - 2*k = 6*i - 98. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 times 4\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-18) + 15\/9. Let k(z) = r*z**3 - 3*z + z**2 + 4 - 1 + z - 2. Let b be k(1). Solve b*s + 1 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -206 - 317*g + 423 - 176 + 1178*g. Let n(x) = -43*x - 2. What is 2*b(w) + 41*n(w)?\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*t - 12*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b**2 - b + b)*(-82 - 2306*b**2 - 83 + 165 - 7600*b**2).\nAnswer: -29718*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5571903 is divided by 9225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 57000000 rounded to the nearest one million?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10342358.\nAnswer: 2, 13, 17, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 7384?\nAnswer: 81224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l. Let n(r) = 4*r. Let b(f) = f**2 + 4*f - 11. Let z be b(-6). Let j(g) = z*n(g) - 5*u(g). Let o(a) = -8*a**2 + 18*a**2 + 10*a**2. Calculate j(o(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11606713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13.9 and -2685.\nAnswer: -37321.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, 0.4, -18974, -2\/31 in decreasing order.\nAnswer: 0.4, -2\/31, -1\/2, -18974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 21 = 5*h + 12, 5*h - 16*r = 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - (0 - (4 - 1)). Suppose -w*f + 0*f = -14. Let j be (-30)\/f - (-10)\/35. Let u(g) = -g**2 - 4*g - 3. Calculate u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72 and 7.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-24)\/(-240))\/((-4)\/(-46970)). Let l = 1156 - p. Find the common denominator of l and (-25)\/3 + 0\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1804 and 2624?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -1 + -19 + 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4154, -4150, -4146?\nAnswer: -4142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 486051093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6349\/20 + -1297\/4. Find the common denominator of 0 + 88\/30 - 2\/(-3) and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -5*f - 9. Let v(t) = -9*t - 24. Determine 7*j(d) - 4*v(d).\nAnswer: d + 33","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 1009 = -10*t. Let l = -519 + t. Is l\/(-10)*((-6)\/4 + 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -81.89291 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 60 = 5*l, -5*l - 4*i - 30 = -9*i. Does 8 divide 25 - 3\/(l\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 23 = 3*f, -3*f - 7 = 3*i + 5. Let d = 132.4 + -132.2. Put 0.04, f, -5, d in decreasing order.\nAnswer: f, d, 0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a**2 + 550100*a - 1100220 = 0.\nAnswer: -110022, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/53943 and -30.\nAnswer: 53943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.75066153 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4596 and 424?\nAnswer: 487176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9291, 9293, 9297, 9303, 9311, 9321?\nAnswer: 9333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1700249622?\nAnswer: 2, 3, 31, 9141127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3  (b) -1\/6  (c) 0.3  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -313  (b) -2\/7  (c) -17  (d) -10  (e) -1  (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of r**8\/1344 - r**6\/80 + r**5\/30 - r**4\/32 - 207*r**2. Factor y(u).\nAnswer: u*(u - 1)**3*(u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20587533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -174 = 440*n - 527*n. Determine m, given that -40\/3*m**n + 0 - 5\/3*m**3 - 80\/3*m = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -2, y + 8*d + 6 = 10*d. Let h be 15\/(-3 + y)*4\/(-6). Find p, given that -4\/5*p**3 + 2\/5*p**h - 1\/5*p**5 + p - 4\/5*p**4 + 2\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5071 - -5071. Let q(x) = x**2 - x - 1. Let d be q(2). What is the closest to d in o, -2.6, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 959\/1146 - 2\/573. Let p = 10 - 5. What is the nearest to -2\/7 in l, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21063921 and 1668?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - 5*p**2 - 9*p + 1. What is x(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27 and 10605?\nAnswer: 95445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2 - 3 = 0. Let z(p) = -p + 7. Let r be z(w). Suppose 7*j - r*j = 575. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -256134 (base 7) in base 10?\nAnswer: -47751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of x**7\/560 - x**5\/80 + 5*x**3\/3 + 7. Let l(d) be the third derivative of j(d). Factor l(s).\nAnswer: 3*s*(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 + 28*z - 29. Let p = 130 + -68. Suppose 5*k - p = 13. Is i(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 19*l + 8. Let d be a(4). Suppose -7*p - d = -11*p. Calculate the greatest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k + 7 - 15 - 2*k**3 + 9*k**4 - k**2 + 9 as f + n*k**3 + v*k**2 + d*k**4 + r*k and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of k**7\/2520 + k**6\/120 + k**5\/120 - 23*k**4\/12 - k - 6. Let n(j) be the third derivative of v(j). What is n(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 3*i, -3*g - i + 0 = 2. Let n(z) = -2*z + 1. Let h be n(-1). Let f = h + g. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -1\/40*m**5 + 0*m**2 + 0 + 1\/12*m**3 + 0*m**4 + 39*m. Find u such that q(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 100001001?\nAnswer: -100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c**3 + 6*c**2 + 5*c - 3. Let j(n) be the first derivative of -5*n**4\/4 + 17*n**3\/3 + 7*n**2 - 8*n + 4877. Give -4*j(k) + 11*p(k).\nAnswer: -2*k**3 - 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(65) - 6*-1*sqrt(65) - (sqrt(65) + 5*((sqrt(65) - sqrt(65)*1) + sqrt(65) - sqrt(65))))\/(-1*sqrt(720)*3).\nAnswer: -5 - sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/((-5)\/(-6))*1. Suppose -5*w - 6082 = -m, -2*w + c*w + 5*m = -4883. Let a = 618 - w. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 116960 and 324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s**2 - 134*s + 92 = 0.\nAnswer: -23, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/13973600 and 11\/700.\nAnswer: 97815200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7778230 is divided by 732.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 507, 403, 222, -2\/5.\nAnswer: -2\/5, 222, 403, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 834522, 1668968, 2503418, 3337872, 4172330?\n\"Answer: 2*l**2 + 834440*l + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 10 = -4*z, 378*v - 374*v + 20 = -5*z. Solve -30*n + 7 - 67 = z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 152*q**2 + 180*q + 4138. Calculate i(-153).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.59 + -2.59. Suppose 0 = k + 2*k - 6. Let d be 1 - (k + 1\/2). What is the smallest value in t, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 6*a**2 + 2*a - 3. Let n(s) = 11*s**2 + 5*s - 7. Calculate -2*n(u) + 5*w(u).\nAnswer: 8*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l + 4. Let w = 33 + -31. Suppose -6*n = -w*n + 40. Let i(f) = -f**2 - 9*f + 13. Let u be i(n). Determine z(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1186*d + 20790 = -223*d + 192*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l + 11 - 10 + 15 + 3. What is the least common multiple of 11 and i(-11)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1880547540 rounded to the nearest 1000000?\nAnswer: -1881000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 + 4*b + 179. Suppose 72*u + 198 = 70*u. Let f be 1 - (4\/(-18) + (-121)\/u). What is the hundreds digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/376260 and 101\/1505040?\nAnswer: 1505040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ann when three letters picked without replacement from aanaaaraaannanrnn?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 511501585 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -215 divided by -26.\nAnswer: 215\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**3 + 15*p - 5*p**3 - 15*p + 16*p**3 - 12*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -23417910 by 4190.\nAnswer: -5589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 914161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -40*o**3 - o**2 - 895?\nAnswer: -120*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000831 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -0.5, -682, -9.6, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -5 + (3 + sqrt(1331)*1)**2 + (sqrt(1331) - ((sqrt(1331) + 1)**2 + -1)) + (-5*(sqrt(1331) + -1)**2 - (sqrt(1331) - (1*sqrt(1331) + 3))).\nAnswer: -6656 + 165*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 4*w + 35 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21.3 + 21. Which is the closest to -1?  (a) -4  (b) k  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 14 + 22. Let l(w) be the first derivative of -5*w**2 + 1 - 2*w**5 - 1\/3*w**u - 2*w - 5*w**4 - 20\/3*w**3. Let l(i) = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 9*c - 20. Suppose g - 170 = -c*g. Suppose -3*v = -5*v + g. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of r**6\/21 + 172*r**5\/35 + 166*r**4\/7 + 656*r**3\/21 - 2654. Factor z(p).\nAnswer: 2*p**2*(p + 2)**2*(p + 82)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -13*z**2 - 2*z - 5. Let s be v(-3). What is the tens digit of (4\/(-14) + s\/35)*-10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**2 - r**2 - 10 - r**2 + 14*r. Let n = -6 - -5. Let i(c) = c**2 - 1. Let y(z) = n*u(z) + 6*i(z). Factor y(f).\nAnswer: 2*(f - 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -s - 4*h + 18, -5*s + 5*h = 30. Suppose -3 = x, -y = -0*y - x - 4. Let u = y - -1. Put s, 1, u in increasing order.\nAnswer: s, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(-4\/9))\/a)\/(a**(1\/5)*a*a*a))\/(a*a**1)**(2\/69)*(a**4\/((a\/((a**(1\/4)*a)\/a))\/a))\/((a**5\/a)\/a*a**0) assuming a is positive.\nAnswer: a**(-6473\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppyyxxpppxyyxp. Give prob of picking 1 y and 1 x.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5905572 = -355*r + 79*r. What are the prime factors of r?\nAnswer: 21397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2628693 to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((1*(sqrt(153)*1 - sqrt(153)))\/sqrt(9) - (-1 + 2*sqrt(1377))).\nAnswer: -18*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.102 times 0.1103?\nAnswer: -0.0112506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4173820.\nAnswer: 2, 5, 7, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 266 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of j**2*x**3 + 70*j**2*x**2 - j*x**3 - 3*x**3 - 66*x**2 wrt j?\nAnswer: 2*j*x**3 + 140*j*x**2 - x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, g: 6, f: 4}. What is prob of picking 2 r and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/19, 1, -3, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (-11)\/44*28\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-6) + (-1 - 7047\/6). Calculate the remainder when (-3)\/(-10) + r\/(-80) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/183352 and 32\/160433.\nAnswer: 1283464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -125*y**2 - 4*y + 7*y + 68*y**3 + 2 - 64*y**3 + 237*y**2 as z*y**2 + u + p*y**3 + h*y and give z.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17*s**5 - 76*s**5 - 21*s**5 + 5*s**4 - 3*s**5 - 5*s**4 + (s + 3*s - 2*s)*(-2 + s**4 + 2).\nAnswer: -81*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 3*o, 12*l + 3*l - 10*l - 4*o - 73 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 10:35 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 3*c + 11. Let r = 11127 + -11131. Let i(t) = t + 1. What is r*i(b) + q(b)?\nAnswer: -b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71 = -4*u + 79 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvdvvvvqj. What is prob of sequence qd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (98\/(-21) + (-36)\/(-6))\/(-6). Which is the third smallest value?  (a) 0.147  (b) 3\/2  (c) m  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 991606 and 170401.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*d - 8*d + d**5 + (2*d**3 - 3*d**3 + 0*d**3)*(-d**2 - 2*d**2 + 5*d**2) + 2*d**5 - d**5 - 2*d**5 + 17*d**5 - 6*d**5 + 0*d**5.\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - k + 3, 4*t - 2*k + 4 = -2. Let x be t\/(15\/(-3) - -3). Factor 6*g - 3*g - g**2 - 5*g + x*g**2.\nAnswer: -g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.4 or -445\/5858?\nAnswer: -445\/5858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 + 16. Solve 0 = r*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1034 - 1019. Solve 0 = -5*w - 5*h - c, -7*w + 6*h - h + 63 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-46)\/69)\/((-2)\/9). Suppose 0 = -8*s + u*s - 2*b - 19, 0 = -5*s - 5*b - 10. Let d(c) = -5*c - 3. Let h(z) = -1. Calculate s*h(x) + d(x).\nAnswer: -5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.36, 0.9, 1\/8, 1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -390, 10\/79, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.5 + 0.5. Let r = -0.04 + 0.54. Which is the third biggest value?  (a) r  (b) l  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118695?\nAnswer: 3, 5, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -174\/125 + 2773\/250. Find the common denominator of q and 149\/186.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 12:50 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 69*m**3 - 67*m**2 + 4*m - 959?\nAnswer: 414*m - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -0.1195  (b) -40  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3*w**2 + 264*w + 5304. Let y(z) = 12*z**2 + 1053*z + 21213. Let l(p) = 15*i(p) - 4*y(p). Determine a, given that l(a) = 0.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -3 + sqrt(17) + -5 + sqrt(17)*-3 + -2 + (3*-1*sqrt(68) + sqrt(68) + sqrt(68))\/sqrt(4) + 3.\nAnswer: -3*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tfb when three letters picked without replacement from {g: 1, f: 5, b: 3, t: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 130\/(-156) + 5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**25*t**17*t)\/(t**(2\/13)*t**(-29)))**(1\/24) assuming t is positive.\nAnswer: t**(467\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (20*5\/20)\/(1\/23). Suppose -2*h - v = -5*x, 4*x - 5*h - 69 = 6. What is the remainder when 94 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 4*z + 50, 3*p + 4 = -z + 29. What is the units digit of (-30)\/12*(-56)\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, 5868, 15712, 29494, 47214, 68872, 94468?\nAnswer: 124002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + y = -148, 4*v + 10*y - 6*y = 128. Let l = 55 - 34. Let u = v - l. Calculate the greatest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to 6111\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -z - 64 + 223, 4*f + z + 161 = 0. Let t be (-1)\/(-35) - (176\/f)\/11. Is -1 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - 32195661?\nAnswer: -32195664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11 and 2321.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j**3\/7 + 1539*j**2\/7 - 263169*j\/7 + 15000633\/7 = 0. Calculate j.\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3177?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15.6 - 2.6. Let j = m - 13.2. Suppose -3*h + 3 = -4*h. What is the nearest to 1 in j, 3\/7, h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 13*v - 102. Let i(h) = h**2. Let c(q) = q**2. Determine v*i(y) - c(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 66, 617, 4.\nAnswer: 4, 66, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -2 + 1 + -2*sqrt(1700) + 0 + -1 + -1)*-5.\nAnswer: -10 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.5 - 2. Let q = 1.44 + -1.49. Let g be (-1*3)\/((-1)\/(-1)). Put g, w, q in ascending order.\nAnswer: g, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -12169, -12158, -12139, -12112, -12077?\n\"Answer: 4*m**2 - m - 12172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1929.04 rounded to the nearest 10?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20497 + -20492. Which is the second biggest value?  (a) 24  (b) o  (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 347580 and 720.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -15041244 (base 6) to base 16\nAnswer: -7ea3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10\/3 + 1\/3*j**2 + 7\/3*j = 0 for j.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1799.6337 seconds?\nAnswer: 0.02082909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 PM and 5:20 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**3*p**2 + 99*g**3 - 26*g**2*p**4 - 4*g**2*p - 22*g*p**2 - 2*g wrt p?\nAnswer: 4*g**3 - 312*g**2*p**2 - 44*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/42*(11 - 8)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 12 - 13. What are the prime factors of ((c + 6)*(-282)\/(-7))\/2?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/1 - 24\/14. Let r = -5 - -4.86. Let x = r + 0.34. Which is the second smallest value?  (a) -1  (b) l  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 76 - 54 = 0. Let l = -15 - w. Calculate the greatest common factor of 99 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 329020206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m - 574895 - m + 287446 + 287397 + 2*m.\nAnswer: -m - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-80))\/((-2)\/(4*-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 4*s - 19, -4*t - 6*s + 120 = 84. Solve -4*y - 4*o = 0, -18*y + o + t = -16*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 7. Suppose -5*t - s*w = 0, -2*t + 6*t - 26 = 2*w. Suppose 0 = -t*c + 2*c + 50. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -115*j**3 - 6*j**2 + 1016. Let x(c) = -39*c**3 - 2*c**2 + 339. Let h(m) = -4*a(m) + 11*x(m). What is the derivative of h(q) wrt q?\nAnswer: 93*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 0)*(-17)\/(-816)*48 - 47.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1000987180?\nAnswer: 2, 5, 50049359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -3. Let s be -1*(1 + q)\/(-3). Let j be 1 - ((-2)\/1 - -1). What is the greatest common divisor of s and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 6*h - 4. Calculate d(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 6*n - 2. Let a be x(-5). Solve -a*q - 4 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.28 * 3\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 + 17. Let j(x) = -x**3 - 7*x**2 - 3*x - 9. List the prime factors of j(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*i + 3*m + 34, 5*i + 4*m + 8 = -36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4 = -w. Let m(i) = -i**2 + 6*i**w - 4*i**2. Let u(o) = -3*o - 4. Let z(c) = 4*c + 5. Let y(v) = 5*u(v) + 4*z(v). Give m(y(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.01 + 1.01. Let y = -0.5 - -0.3. What is the third smallest value in f, y, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7972498 centuries in decades?\nAnswer: 7.972498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -226403*r**6 - 380881*r**2 wrt r.\nAnswer: -27168360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 126 - 120. Calculate the smallest common multiple of 86 and u.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 508 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 4*z. Suppose -f + z*f = -4. What is the third derivative of 11*v**4 + 8*v**2 - 2*v**2 - v**2 - 2*v**f wrt v?\nAnswer: 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**2 - 17*f - 7. Let b be l(-8). Suppose 12*o + 6 = 9*o, 0 = h + 2*o - b. Solve 5*s - h = 0, 2*n - s = -0 + 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 0*m - 4 = 0. Let r = 0.1 - 0.2. Let k = 0.8 + 0.2. Which is the closest to k?  (a) r  (b) 4\/7  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = u - 6 + 19, 3*u = -d - 11. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/18 and 264\/1044*((-1)\/84)\/((-12)\/14).\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -50*h + 27*h + 33902. What are the prime factors of h?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vwjvjvjjvvjjjwv. Give prob of sequence wvv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*z = -63*z + 38*z - 141830. Sort -0.5, z, 2 in increasing order.\nAnswer: z, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12d (base 16) to base 8.\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i. Let y be 3\/12*10*12. Let w(a) = -29*a + 1 + y*a - 1. Calculate p(w(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -66066 + -30?\nAnswer: -66096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 6*b - 5. Let a be q(12). Let g = 201 - a. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 84 - 79. Suppose 5*g = -5*m + 4*m - 126, -g - x*m = 6. Let n = g - -36. What is the remainder when 26 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/7 of a week in hours?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of -p**6\/21 - 123*p**5\/70 - 30*p**4\/7 + 92*p**3\/21 - p - 1225. Let a(m) = 0. What is m?\nAnswer: -23, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of 107*c**7\/105 - c**6\/20 + 135*c**3 - 3029*c**2. Find the first derivative of r(n) wrt n.\nAnswer: 856*n**3 - 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -64 - 28*b + 8 - 36. What are the prime factors of a(-24)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**5\/3 - 18332*s**4\/3 + 146564*s**3\/3 - 329720*s**2\/3 + 293066*s\/3 - 91580\/3 = 0.\nAnswer: 1, 5, 9158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157*l + 5148 = 163*l. What is the highest common factor of l and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2.5  (b) -5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 256378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 87?\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 35 and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16623806, -33247610, -49871414, -66495218, -83119022, -99742826?\nAnswer: -116366630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 836 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 31 and -0.092.\nAnswer: -2.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1987352 and 656.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 98 - (-3 - (-12)\/4). Suppose -2*t + z = -18. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 55 = -51 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -44, -68, -92, -116, -140, -164?\n\"Answer: -24*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -7 + -8 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1222, 3, -2\/1777?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 159710 to the nearest 1000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/7, -2\/9, 15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 + 66 + 65 + 8*d - 195.\nAnswer: 8*d - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 442, 858, 1250, 1618?\n\"Answer: -12*h**2 + 452*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 181124\/278535 + 14\/1797. Let q = p - 8\/31. What is the third smallest value in 3\/5, q, 1\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + (-14)\/(-4))\/(198\/(-88)). Let l = -6\/31 + 79\/248. What is the smallest value in f, l, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7aa0ec + 4?\nAnswer: -7aa0e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Do 12167 and 12161 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -w*z**2 - 11*w*z + 2*w - 4*z**2 + 88947*z - 11035938 wrt z.\nAnswer: -2*w*z - 11*w - 8*z + 88947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7\/(-2)*-326 - 15\/3. Suppose -4*m - 4*r + x = 0, 116 = m - 3*r - 152. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 36, 83, 170, 309?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n**2. Let p(j) = j**2 - 8*j + 8. Let t(b) = -b**2 + 5*b - 5. Let l(w) = -5*p(w) - 8*t(w). Give c(l(z)).\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (18\/(-56))\/((-9)\/(-6)). Is 1 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 254412 (base 9) to base 14.\nAnswer: 40270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 108478791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 13\/(26\/(-60))*8\/(-24)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 119417107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 - -12. Let k(l) = 3*l**2 + 5*l. Let y(w) = -w**2 - 2*w. Give x*k(s) + 5*y(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -3*m + 10 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 74724248429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 1001?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((1*sqrt(468) + sqrt(468))*5)**2 + sqrt(468) + 4).\nAnswer: -140412 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 4*f + 25, 2*z + 5*f + 0*f - 38 = 0. Let c(m) = 2*m**2 - 2. Let o be c(3). Let d = o - z. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1127)\/644*(16\/2)\/(-4)*9\/12\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.65?  (a) -3.89  (b) 0.2  (c) 0  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 40456361 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: Let v(g) = 4*g - 4*g + 9*g**2. Let h(a) = 5*a**2 - 6*a - 6. Let u(f) = 11*f**2 - 13*f - 13. Let d(j) = 13*h(j) - 6*u(j). Determine v(d(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 + 70*o**3 + o - 34*o**3 - 47*o**3)*(-1 + 1 + 1) to the form l*o + c*o**3 + m*o**2 + a and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 271448811.4 to the nearest one hundred thousand.\nAnswer: 271400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 + -13. Let u(a) = 3*a**2 + 4*a**2 - 2*a + a - 6*a**2 + 4*a. Give u(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + u - 13, 0 = 5*i - u - 2*u - 16. Solve 0 = 5*m + 5, t - i = 3*t + 5*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13676*c - 13670*c + 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82 = -4*v - 3*o, 4*v - 63 = v - 3*o for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*p - 606 = -111 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 11*w**4 + 2*w**2 - 5*w. Let u(t) = -32*t**4 - 6*t**2 + 14*t. Let h(k) = 14*f(k) + 5*u(k). What is the third derivative of h(i) wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1 + -6*(sqrt(125) + sqrt(125)*2 + 0)**2) + 2)*3.\nAnswer: 80994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 20 = 0, 15*h - 19*h - 20845585 = -3*q. Round h to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1034770 and 6325?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j - 4*j**2 - 2*j**2 + 5*j**2. Let t be b(0). Solve t = -2*s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {l: 4, v: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7471, 0, 1.\nAnswer: 0, 1, 7471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -254607.9 to the nearest one hundred.\nAnswer: -254600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 592284 divided by -6\nAnswer: -98714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33 + 27 + 0 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v + 21 = -b, 32*b = 27*b + 2*v + 21. Suppose 6 - 3\/2*a**2 - 33\/4*a**b - 9\/2*a**4 - 3\/4*a**5 + 9*a = 0. Calculate a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 357 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.69 - -69.31. Let w = h + -35. Let z = w - 40. Which is the third smallest value?  (a) z  (b) 2  (c) -0.5  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + -b82d18?\nAnswer: -b82d19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4*d = l - 164, 45 = l + 3*d. Suppose 41*h = l*h + 28. 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 the remainder when 161100 is divided by 1247?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -2*s**3 + 2*s**2 - s. Let i(f) = 9*f**3 - 2*f**2 - 3*f. Calculate -i(u) + 3*t(u).\nAnswer: -15*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -236 = -12*v + 160. What is the second smallest value in v, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9498 divided by 5793\nAnswer: -3166\/1931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -213102 (base 4) in base 15?\nAnswer: -b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 13031496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1106, -549, 378, 1675, 3342?\nAnswer: 5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87933.\nAnswer: 3, 29311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of -436*k**3\/3 - 59*k - 447. Differentiate a(i) wrt i.\nAnswer: -872*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - 228159 - (-6 - -3). Let h = o - -427155. What is h rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 5:41 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -3*v - 13. Suppose -f - 21 = h - 6*h, 3*h + 15 = -4*f. Calculate the remainder when 13 is divided by d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24020740 divided by -15203\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 157 + -156.99999687. Round x to seven dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(7\/5))\/v*v**(-23\/2))\/((v*v*v*v*v*v**(-4)*v)\/v*v*v*v**(2\/9)*v) assuming v is positive.\nAnswer: v**(-1541\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/7  (b) -3  (c) -2\/15  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*t + 10*t - 31*t - 2*t - t + t + (2*t + t + t)*(0 - 3 + 1))*(1 + 1 - 1)*(-2 - 2 + 3)*(-2 + 1 + 0).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from zihgzizwhmhhhww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8388227.\nAnswer: 269, 31183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + 9*q + 32. Let p = -16 - -27. Let j be g(p). Solve 2 = 3*v + 4*n - j, -3*v + 12 = -3*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1212 (base 3) to base 6\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 8*m**2 + 10*m + 25. Let c be f(-7). Solve 0 = c*p + g + 7, -5*p + g = -0 + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*m + 55*m + 8*m.\nAnswer: 91*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-4)*1648\/24. Factor 2*j + 48*j**2 - y*j**2 + 56*j**2 + 14*j + 15.\nAnswer: (j + 1)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3923 is divided by 464.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1385 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -894 + 1718. Is 59 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 183369240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 3*q**3 - 14*q**2 + 18*q - 21. Let w be y(7). What is the highest common divisor of w and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*j + 11. Let i(s) = j*s - 16 + 3 + 5 + 21*s. List the prime factors of i(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 356 a factor of 2226368550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l**4 + l**4 + 0*l**4 + (l**3 + 0*l**3 + 0*l**3)*(-l - 4*l + 4*l) + l**4 - 5*l**4 + 5*l**4 - 8*l**4 - 194*l**3 + 78*l**3 + 1 + 87*l**3.\nAnswer: -10*l**4 - 29*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 70\/177831 and 33\/10926727?\nAnswer: 98340543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 + (-11 - -20) - 12 - 11) + 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2680 divided by -536.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2 and 322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1092174, 1092171, 1092168, 1092165?\n\"Answer: -3*t + 1092177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -670+-0.07071\nAnswer: -670.07071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = k - 24, 6*f - 4*f = 5*k - 48. Suppose 0*l - k = -l. Suppose -2*v + 4 + l = 0. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -116601 by -5.\nAnswer: 116601\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 279 = 3*s, s = -0*i - 2*i + 141. Let m be 2\/(i\/(-38) - -2). Suppose -m = 4*a - 67. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33 - 2*j - 223 - 2 - 341 - 526.\nAnswer: -2*j - 1059","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1950830 and 40600.\nAnswer: 39016600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -1. Let p = f - -1. Let v = p - -5. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llgghhhmhhhghlgggl. What is prob of picking 3 l?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of -m**2 - 4*m - 8. Let h be p(-3). Let j be 195\/10 - h\/(-4). What is j rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1206211475 to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42) + sqrt(378)\/(sqrt(54)\/sqrt(6)) - sqrt(42) - sqrt(42))\/(sqrt(6) + sqrt(66)\/(sqrt(55)\/sqrt(5)))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of 2*g**3\/3 + 7*g**2\/2 - 12*g - 924. What is t(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4351)\/99 + 76\/342 - 738\/2706?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1423443000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 55961895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/13, 33, 1, 1\/3, -90?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -47*i + 93*i + 184 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -74 * 0.13.\nAnswer: -9.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6969775009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(2*15))\/((-15)\/30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - -4) + (12 - 13). Solve 0 = y + g*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**2 + 4*r + 6. Let o(i) = 3*i**2 - 9*i - 12. Let a(n) = -6*o(n) - 11*p(n). Let t be a(-4). What is t rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/30*15*5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2456 and 5833.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 265 divide 34192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 3*m - 10 = 2*m, -c = -3*m + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*s + s - 5*r, 0 = 5*s - 5*r + 20. Suppose -3*x - 1 + 13 = s. Suppose x*v - 6*v = -192. Calculate the highest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g**2 + 4*g + 3. Let c be i(5). What is the common denominator of -7\/4 and ((-16)\/3)\/(33\/c)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000627852343 to seven decimal places.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19341593\/140 - -138155. What is the common denominator of (((-2871)\/42)\/11)\/((-944)\/(-56) - 20) and o?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 16, 6\/77, -2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2229*-2\nAnswer: -4458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 687707*t**3 - 2 - 687706*t**3 + 2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.3716251 rounded to two decimal places?\nAnswer: -2.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 3. Let w(k) = -2*k**2 + 1. Let m be w(j). Let t = m + 27. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2368765 divided by -338395.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 152*l + 29. Let a = -226 + 232. Is d(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 30 = -35. Let p(g) = 2*g + 1. Let o be p(4). Let k = o - -4. Calculate the greatest common factor of v and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -171*t - 2. Let z(n) = -2*n + 1. Let b(j) = 10*j - 6. Let d(a) = b(a) + 6*z(a). Calculate y(d(f)).\nAnswer: 342*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s - 4. Let v(g) = -1. Let l(a) = t(a) + 2*v(a). Let b(j) = -j**3 - 7*j**2 - 9*j - 16. Let y be b(-6). Let o be l(y). Which is smaller: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 8480630710 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 23.32*15679\nAnswer: 365634.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 73 and 657.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 16264 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (43 + 2 + -61 - (-1 - 15)) + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 49*y**5\/4 - 1904*y**4 - 255489*y**3\/4 - 96889*y**2 - 39901*y - 4968 = 0. What is y?\nAnswer: -27, -1, -2\/7, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, l: 1, x: 1, j: 1}. Give prob of sequence xo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in 0.1, 4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -2*y. Suppose 1 - 3 = -f. Let t = 3288 + -3285. What is the closest to -2\/7 in y, f, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - 21ab172?\nAnswer: -21ab16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/2*4440\/2775.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h - 3*l + 38 - 20, -h + 2*l = 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 3)*(20*f**3 - 63*f + 62*f - 16791 + 16822) as h*f + m*f**3 + z*f**2 + y and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of m**4\/12 + 2*m**3 - 3*m**2\/2 + 2*m + 27. What is d(-6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66*l**2 + 62*l**2 - 202*l**2 + 3 + 72*l**2 + 72*l to the form w*l + o*l**2 + t and give w.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -8*s**2 - 7. Let k(c) = c**2 + c + 1. Let j(h) = -4*k(h) - l(h). Suppose 5*y - 4*q = -532, 4*q = -5*y + 2*q - 544. Let d = -106 - y. Give j(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -147418 in 6\/11, 5, 2, 3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 141*g**2 + 5*g. Let a(u) = 493*u**2 + 17*u. Determine 5*a(x) - 17*k(x).\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5600 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -4*p + 17, 3*p + h + 5 = 5*p. Suppose -6*l + l = -p*n + 46, 3*l = 5*n - 34. Let y(b) = b + 1. Let t(g) = 10*g + 6. Give l*y(x) + t(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -11*c + 10*c, 4*c = -5*v - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 26449966013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14529 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90*n = 142*n - 928. Let p(t) be the third derivative of 1\/3*t**n + 0 + 0*t + 3\/2*t**3 + 14*t**2. What is the derivative of p(u) wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.5615 + 0.5765. Sort 1, 0.3, -0.5, u, 2 in descending order.\nAnswer: 2, 1, 0.3, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/6 and ((-2)\/110)\/(2\/235).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5111*i**3 + 3693 wrt i?\nAnswer: 15333*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -3. Let s = q - 1. What is the second smallest value in 3, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256606*o + 544 = 256538*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4711 divided by 11.\nAnswer: 4711\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**2*i**(-3\/2) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 172  (b) 0  (c) 0.02  (d) 1\/4  (e) 0.4  (f) -2  (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2109*m + 1647 - 1647 + 8119*m to the form r + a*m and give a.\nAnswer: 6010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 less than or equal to 282649\/2391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 1:32 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-1*(sqrt(5) + 1)*-5 + (sqrt(605) + -1*sqrt(605))**2 + -5)*-4.\nAnswer: -80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 136\/(-22) - (-76)\/418?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 24 = 9. What is the remainder when (-1188)\/(-30) - 3\/v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1475126 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 6. Suppose -3*q = q - g*u - 119, -190 = -5*q - 2*u. What is the greatest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2601*l - 20. Let i be f(20). What is i rounded 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 4 - (2 + 2 - -3) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26580 (base 10) to base 7.\nAnswer: 140331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*l**2 - 1 - 1 + 78*l - 68*l to the form h + b*l**2 + s*l and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14086 + 14344. Calculate the remainder when n is divided by 98.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/8 and -93\/278.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - 2. Let w = -1 - h. Suppose -4*r = 3*o - 2 + 34, 5*r + 4*o = -41. Put -2, r, w in decreasing order.\nAnswer: w, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2555.2218 months in centuries?\nAnswer: 2.1293515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4016605 is divided by 189.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 - 8*o + 4. Let b be n(-8). Suppose i = -i. Suppose -h + 0*h = i. Solve h = -3*p + b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 AM and 4:23 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18.7 + -19. Let a = -0.5 - -0.5. What is the nearest to -3 in -5, a, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3637 = 15*c - 2078. What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4601493 is divided by 47932.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -21 - -125959?\nAnswer: 125938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 12 = -9*r. Let q be r\/8 + -3 + (-265)\/(-180). Are -2 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-13)\/39)\/((-1)\/9). Suppose -g*z - l = -314 - 42, 92 = z - 5*l. Let q = -47 + z. Calculate the greatest common factor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10) + (sqrt(810) - sqrt(810)*-1))*-3)\/(sqrt(125) - (-2*sqrt(125)*6 + sqrt(125) + sqrt(125))).\nAnswer: -57*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 4173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (76 - 78) + 5 + -1 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -27392630 and 1819.\nAnswer: -27390811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -6. Suppose 7*k - 6 = 15. Sort -5, 1, k, y in descending order.\nAnswer: k, y, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -4 + sqrt(110)\/(sqrt(20)\/sqrt(2)).\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10.119 at least -1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j**2. Let z(s) = -58903*s + 4728. Let l(r) = -187*r + 15. Let a(n) = 1576*l(n) - 5*z(n). Calculate a(f(y)).\nAnswer: 591*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 7:42 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 604628 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - 3*b - 2*b)*(0*b - b**2 + 0*b) - 113*b**3 - 9721*b + 9721*b + (2 - b**2 - 2)*(0*b + b - 2*b).\nAnswer: -110*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 - 4*l**2 - 3*l + 4. Let v be i(-3). Let t = v - 1. Suppose -5*a + 42 = -t*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in twenty-one halves of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/1*-2)\/(((-154)\/8)\/77).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 95.09 - 67.3. Let j = 28 - f. Let l = -1.38 + j. Round l to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1275.16662 rounded to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8313460717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = -0*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 1 - 21 = 0. Let f = 589 + -589. Solve f = -m + l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27355 divided by 11\nAnswer: -27355\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -12, 57, 126, 195, 264, 333?\n\"Answer: 69*u - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.029 take away -42926310.7?\nAnswer: 42926310.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n\/(((n**(1\/4)\/n)\/n*n)\/n)))**(1\/5)*(n**(-3)\/n)\/n**2*(n\/(n*n**(1\/2)))\/n**(-2\/7)*(n**3*n)\/(n*n**2\/n) assuming n is positive.\nAnswer: n**(-611\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 7*j + 83 = d - 18, -8921 = -97*d + j for d.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 23*b**2 - 3*b + 7. Let q be l(6). Suppose q = -2*v + 2081. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.863292 and 4?\nAnswer: -7.453168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 51\/9 + (-1)\/(-3). Let n = c + -5. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 + -13. Let f = 6.6 - j. Which is the nearest to 1\/4?  (a) 0.1  (b) f  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 579810089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3028233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**2 + 78*a - 77 = 0 for a.\nAnswer: 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/9, 7\/551, 2?\nAnswer: 7\/551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 286*t + 164211 = 2776821. What is the highest common factor of t and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3124 + -332. Suppose -5*i + 1593 = -z. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to 66\/3181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*x**4 + 11*x + 1 - 8*x**4 + 21*x**4 + x**2 in the form z + u*x**3 + g*x**2 + a*x**4 + d*x and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, m: 3}. Give prob of sequence mm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23162 - 12184. What are the prime factors of z?\nAnswer: 2, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*c + 12*c = 41*c + 8858. What is the highest common divisor of c and 4859?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from {d: 1, n: 4, u: 1, o: 7}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -159*g + 14. Let b(p) = -157*p + 13. Determine 7*b(o) - 6*f(o).\nAnswer: -145*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269*k - 93 = -900 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l + 22 - 22)*(-3 - 3 + 5)*(1327 - 138 + 1902)*(5 - 2*l - 5) to f + q*l**2 + g*l and give q.\nAnswer: -6182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a15 (base 14) to base 6.\nAnswer: 33511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 141*b - 46. Let u = -294 + 299. List the prime factors of g(u).\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -38. Let r(q) be the second derivative of 0 + 0*q**2 - 1\/30*q**5 + q + 1\/36*q**4 + 1\/90*q**h + 0*q**3. Factor r(k).\nAnswer: k**2*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-128)\/3648*((-10)\/5)\/(-2).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 - 2*m - 6. Let k be x(5). Let a = k + -7. Suppose 0 = -a*b + 3*b - 11. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*v = 31*v - 31. Find k such that -56*k - v*k + 36 + 136*k**2 - 92*k - 22*k**3 - 43*k = 0.\nAnswer: 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178782 = -35*o + 179027 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000151356 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 345\/414 + 20045\/741 - 28.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-3\/7)\/g*g*g*g*g**(-6)*g*g*g**6\/g*g*(g\/g**(-4))\/g)**(-24))**16 assuming g is positive.\nAnswer: g**(-23040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 114540 and 331170?\nAnswer: 15233820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 24*g - 3480 = 0. Which is smaller: g or -583\/5?\nAnswer: -583\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 2:11 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -4*l**2 - 3*l - 3. Let v(p) = -7*p**2 - 5*p - 5. Let w(s) = 5*b(s) - 3*v(s). Let x(n) = 6*n. Calculate x(w(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36186*i + 116000 = 38186*i for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 53. Let t(y) = 29. Let z(l) = -6*q(l) + 11*t(l). Let b(h) = 1 + h**2 - 3*h + 3*h. Let a(j) = -2*b(j) + 2*z(j). Let n(g) = 50*g. Determine a(n(p)).\nAnswer: -5000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 4529 = -2*d + 1527, 4*j + 15216 = 5*d. What is the smallest common multiple of d and 55?\nAnswer: 33440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3*t + 13. Let x(z) = 7*z - 27. Give -4*x(d) - 9*y(d).\nAnswer: -d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 2*z = 18, 2*w - 96*z + 93*z = 21 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of 1\/1800*v**6 + 0*v**2 + 1\/150*v**5 - 16\/3*v**3 - 1\/24*v**4 + 0*v - 18. Let j(m) be the third derivative of c(m). Factor j(u).\nAnswer: (u - 1)*(u + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2589)\/(-3452) + (-2 - (-53)\/52)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-74)\/(-6) + (-2)\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*q + 65*q - 126 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1*((-21)\/(-14) + (-14)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/10)\/(423\/(-940))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*a - 2*n - 14 = 13*a, -7 = 3*a - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17\/415 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-14 + 7 - -7 - -10) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2659016 and 13060.\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + 0*o + 4*o)*(-2*o**2 - 1 + 1)*(30*o + 17*o - 9*o).\nAnswer: -76*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1102 and 1572902?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 25, -m - 172 = m + 4*p. Let l = m + 113. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) 1  (c) -5  (d) 3  (e) -918\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2 = 2*w. Let j = w + -3. Let a(q) = -q**3 - 6*q**2 - 7*q - 2. Calculate the least common multiple of a(j) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 861866093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 + 3)*(2 + (-93)\/42). Suppose 1 = w + 3*w - 5*t, -4*t = w + 5. Let c be (2\/6)\/(w\/3). What is the smallest value in f, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 73*a - 7*a**3 - 221*a + 73*a - 6 + 9 + 2*a**2 + 71*a to k*a**2 + x + g*a + p*a**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-130)\/((-1405040)\/(-168))*1\/3?\nAnswer: -1\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8684361253?\nAnswer: 8684361253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 5*w - 3. Determine c(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/(-528) + (-9)\/(-33)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -717*n + 716*n + 6 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23148 - -50056. Let t = n + -16048. Round t to the nearest one hundred.\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.26 minus 0.15?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 - 2*n**2 - 9*n + 11. Suppose -3*z + 0 + 21 = 0. Let b be l(z). Suppose 9*q - 940 = -b. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 232 + -10?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -24*j - 505. Determine g(-19).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l\/l**(-1))\/l)**(-41)\/(l*((l*l**(11\/3)*l)\/l*l)\/l*l*l*(l**(-1\/2)\/l)\/l*l) assuming l is positive.\nAnswer: l**(-529\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 553857 is divided by 16286?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 + 5*g**2 - 356*g + 341. What is n(16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w. Suppose -4*g = -j + 18, -10 - 13 = -j - g. Calculate the remainder when j is divided by o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - -1. Let b(d) = d**2 + 4*d + 3. Let t be b(-3). Suppose 5*k + 20 = 3*r, -4*r = f*k + 20 - t. Put -1, r, 4 in increasing order.\nAnswer: -1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 980738, 980767, 980796, 980825?\nAnswer: 980854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.1, 5, 14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -2\/64517  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**2 + 0*j**2 + 0*j**2 - 2*j**2 + 2*j**2 - j**2 + (-7 + 3 + 3)*(0*j**2 - 3*j**2 + 5*j**2) + j**2 - 2272 + 24*j + 2272.\nAnswer: -j**2 + 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -3*u**3 - 3*u**2 - 2*u - 11. Let k be r(-3). Suppose k*l - 1185 = 46*l. What are the prime factors of l?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1630987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 411 - 71 = 0. Let m = 73 - j. What is the third derivative of 15*t**2 - 109*t**5 + 7*t**2 + 127*t**m wrt t?\nAnswer: 1080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10017.948 * 0.14.\nAnswer: -1402.51272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 4  (b) 3\/7  (c) -5  (d) 22\/3  (e) -1  (f) 57337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 5:00 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 535750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x = 12*x - 264. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3334 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2223 divided by 3?\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + c - 2 = 0, -v - 4*c + 11 = 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (28\/140)\/(3\/(-33)). Which is the third biggest value?  (a) r  (b) -0.2  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37839 + -37839. Let u(n) be the second derivative of -19\/10*n**5 + 0 + w*n**3 + 0*n**4 - 35*n - 25\/2*n**2. Find the first derivative of u(g) wrt g.\nAnswer: -114*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 1:19 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/4 - 28\/(-8). Let w = 2 + 6. Let z(p) = -p**3 + 7*p**2 + 8*p. Let o be z(w). Solve -r + j - u = 3, -3*j = o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (6\/28)\/((-960)\/72800) and 37\/6066.\nAnswer: 12132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k**3 - 4*k**2 - 6*k + 16. Let f be w(2). Solve -3*j + 3*p + f = 7*p, 0 = j + 5*p - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -149, -3, 117, 68 in ascending order.\nAnswer: -149, -3, 68, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in -169, -197, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -4, -o + 8 = -22*s + 20*s. Suppose -o*n = -27967 - 6069. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 120\/(-6)*(-1)\/2. Solve v + 0 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 776.9091g in kilograms?\nAnswer: 0.7769091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 6}. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 43637 - 9230. Round h to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of m*z**2 - 18*m*z - z**3 - 46*z**2 wrt z.\nAnswer: 2*m - 6*z - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35686803*m**2\/5 - 3973248*m\/5 + 110592\/5 = 0.\nAnswer: 192\/3449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1255645 is divided by 2150?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.02  (b) 0.3  (c) -0.045  (d) 8.7  (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -8\/3, -5, 4 in increasing order.\nAnswer: -5, -8\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -706 = 4*i - 2578. Suppose -a = 3*c - 2*a - 362, -5*a = -4*c + i. Suppose 3*b - b = c. Calculate the remainder when b is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3*((-132)\/2)\/(27\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ypspypiigiggsggy. What is prob of sequence piiy?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 57 + -282\/5. Let d = -0.01 - 0.02. Let w = 0.53 + d. What is the closest to o in 1\/3, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -196105b (base 14) to base 16.\nAnswer: -c04f89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.037, 1\/13, -0.1 in descending order.\nAnswer: 1\/13, 0.037, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/280354272 and 19\/1788544.\nAnswer: 1121417088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -18*y**2 - 3*y - 2. Let s(w) = -35*w**2 - 5*w - 3. Let u(q) = 5*i(q) - 3*s(q). Find the first derivative of u(v) wrt v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -3*c - 1007, 1004 = y + 3*y - 4*c. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + 4*o - 6. Let d be w(-7). Let v be 4\/10 + (-6)\/d. Suppose v*p - 3*p + 57 = 0. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 214 or -1?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -55199, -56218, -57237?\n\"Answer: -1019*s - 54180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 781*s + 35136. What is m(-45)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 358 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*q - 33*q - 12*q - 14*q to c + z*q and give z.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/5 - 9\/(-15). Suppose 0 = -n*u + 4*u - 4. Find the first derivative of -18 + 16 - o**4 - 5*o**u - o**4 wrt o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 42*k + 837467 = -15*k + 834332 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -f**3\/2 + 7*f**2\/4 + 5*f + 117. Factor g(q).\nAnswer: -(q + 1)*(3*q - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 PM and 9:45 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 - -13. Suppose 0 = 5*g + q - 179. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -6. Let w = 0.07716 + -0.57716. Which is the nearest to 0?  (a) w  (b) x  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1269448 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*((-40)\/(-14))\/(-10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of -5*x**4\/24 + x**3\/3 + x**2. Let n(s) = 4*s - 2. Let t(q) = -2*n(q) - 3*y(q). Is t(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 50*t + 3472. What is the thousands digit of w(53)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 64 and 10240?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1441940503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 16 + 0 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9\/4)\/(4\/(-272)). Let h = l - -47. Is (-2)\/(2 + 216\/h) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 0*k = -10. Suppose 0*j + 3*x + 32 = k*j, 0 = x + 4. What is the highest common factor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -58*m + 97 - 48 - 55 wrt m?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3088 - 4707*i**2 + 39*i + 4707*i**2 + 4226 - i**3 wrt i.\nAnswer: -3*i**2 + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 92.037 + -92. Let b = 0.063 + k. Sort 4, -4\/3, 1, b.\nAnswer: -4\/3, b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y + 20 = 10*y. Suppose -5*t - y*b + 50 = 0, -b + 35 = 4*t + 2*b. Factor 6\/7*x**4 - 2\/7 - 6\/7*x - 4\/7*x**2 + 2\/7*x**t + 4\/7*x**3.\nAnswer: 2*(x - 1)*(x + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-5))\/(q*q**2)*(q*q**6)\/q*q*q*q**(3\/4)*q*q**1\/(q\/q**(1\/6))*q\/((((q*q*q**(-4)*q*q)\/q)\/q*q)\/q)*(q*q*q**(2\/3)*q)\/q*q assuming q is positive.\nAnswer: q**(115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2821 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*b - 5*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/(-90) - (-1)\/5)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*a + 42*a + 31*a - 7684 = 0. Which is smaller: a or -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-45)*-5*1\/8*4\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 792.715 centuries?\nAnswer: 951258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.4 - -0.9. Let g = 23 - 21.3. Let y = d + g. What is y rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/288 and -1\/432.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.0622, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 8.87, -5, -0.5, -2\/787, -0.02, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 40\/(-30)*3*5\/(-10). Let r(t) = -t**2 - 4*t + 2. Determine r(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 189*j**3 - 4*j - 664*j**3 + 142*j**3 + 199*j**3 to the form b*j**2 + p + z*j**3 + q*j and give z.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11374.47*32.\nAnswer: 363983.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of -x**5\/60 - x**4\/3 + 4*x**3\/3 - 13*x**2 - 2. What is z(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 106*w**4 - 371*w**3 + 3*w**2 - 29598*w wrt w.\nAnswer: 2544*w - 2226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 5826214.\nAnswer: 1165242.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3565\/93)\/23*1*9\/55?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -273*k - 2236*k + 8584 + 24485 = 5470 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2029962286?\nAnswer: 2, 11, 92271013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 56 by 70.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1 + 14\/8 + (882850\/40 - 2).\nAnswer: 2, 5, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -34873 greater than or equal to -34870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3391420, 3391410, 3391386, 3391342, 3391272, 3391170, 3391030?\n\"Answer: -o**3 - o**2 + 3391422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + -10. Suppose c*s = s + 16. Suppose -u = -s*b - 2639995, -1259293 = 2*b + u + 60712. What is b rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 251*i = -10080 + 793 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 13) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-1) + (1 - 0). Suppose -88 = -2*q - 3*b + 81, -b = -3*q + 248. Let y = q - 74. Solve -o*v - v - y = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.13 in -0.2, 0, 109, -129?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 342 = 3*c - 54, 3*k + 5*c = 596. Calculate the least common multiple of 5 and k.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1581700 rounded to the nearest 10000?\nAnswer: 1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -3 - (-51)\/18 - 374\/(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -257*f - 12. Let p(g) = 5*g + 2. Let w(o) = n(o) + 6*p(o). Let z(u) = -2*u**2. What is w(z(l))?\nAnswer: 454*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is (-75)\/(-45)*(-54)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -2*z - 55. Let n = -17 - z. Let x = 30 - n. Let i(f) = f**2 - 5*f + 3. Give i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) 0.03  (b) 1\/8  (c) 2.5  (d) 0.07  (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2) + 2\/8. Let t = 9\/25 - 47\/200. What is the second smallest value in t, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 * 128.3\nAnswer: -1.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 4. Suppose 12*t = p*t + 195. Let c(j) = -j**3 + 2*j - 2. Let h(b) = 6*b**3 - 13*b + 13. What is t*c(s) + 6*h(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 396 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5457 + -2307. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 288.5 + -234. Let f = 55.402 - c. Let w = f + -0.75. Round w to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4*b + 52 = 2*x, 28 = x - 4*b. Suppose 3*s = 2*z - 4, -s + x = 4*z - 0*z. Solve 4 = 2*c - z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 - -44. Let w = -4 - -4. Suppose -6*y + y + 125 = w. What is the remainder when y is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from syyaj. What is prob of picking 1 y, 1 a, and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*y + 4. Suppose y*m - 40 = 8*m. Is (633\/(-4))\/(2\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/6 at least as big as 891447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 1060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 14, d: 1, w: 5}.\nAnswer: 1001\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8215134701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 + j. Let l(b) = -4*b**2 + 2*b - 3. Let u(v) = -l(v) + 2*n(v). Let i(x) be the first derivative of u(x). Let y(q) = -7*q. Calculate i(y(c)).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**4 + d**3 - d**2 - d - 1. Let t(l) = 12*l**4 - l**3 + l**2 + l - 25. Let b(y) = -t(y) - v(y). Differentiate b(o) wrt o.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of r**6\/6 + 39*r**5\/5 - 123*r**2 - 185. What is the second derivative of n(i) wrt i?\nAnswer: 20*i**3 + 468*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/210 and -11\/27?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m**3 + 15*m**2 + 3*m + 4. Let h be n(-7). Suppose 2098 = 5*u - h. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 6*g**2 - g + 3. Suppose -u + 3*u = 4. Is 12 a factor of b(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56 - 38 = 3*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 55\/2 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40*r + 41*r - 8. Solve -h - r = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -113, -376, -899, -1772, -3085?\nAnswer: -4928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 divide 14257795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4*w - 2*h - 3641 = 0, w - 1205 = 5*h. Suppose 0 = 9*l - w - 1134. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/7  (b) -7  (c) 2\/3  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -6. Let i(a) = a + 6. Let b(c) = 4*g(c) + 3*i(c). Determine b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -3) + 630\/168 + 49\/(-20)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 121*p - 492. Let s be x(6). What is the highest common divisor of s and 390?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.365 + -0.065. Sort m, -2\/3, 4 in ascending order.\nAnswer: -2\/3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d + 2*d + 14*d + (0 + 4 - 2)*(2*d - 8*d + 3*d))*(3*d**3 + 2*d**3 + 5*d**3).\nAnswer: 50*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 121083, 120797, 120511, 120225, 119939, 119653?\n\"Answer: -286*q + 121369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2080 is divided by 55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04441 rounded to three decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.52947 and 7824618.482.\nAnswer: 7824617.95253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -395.3 + 393.3. What is the closest to 2 in -2\/9, -1\/3, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 170\/7 + 4\/(-14). Suppose -5*h = -h - b. Let i be h\/(-15) + (-2)\/(-5). Solve 2*l + 3*s = -i*l + 17, 5*s = 3*l + 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3\/4 + 155*u**2\/2 - 2641*u\/4 + 423\/2.\nAnswer: -(u - 94)*(u - 9)*(3*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26 + 42 + 74 + 30)*(-z - 3 + 3).\nAnswer: -172*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-30)\/50 - (-46)\/10. Suppose -143 = i - g. Let m = -83 - i. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 5, q: 1, d: 1, k: 4}. Give prob of picking 1 q and 2 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 13*o**3 - 56*o**2 - 12*o + 5. Let l(q) = -7*q**3 + 30*q**2 + 5*q - 3. Let h(k) = -11*l(k) - 6*u(k). Determine h(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2234508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from {k: 1, i: 1, d: 5, u: 3, o: 4, r: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from isggggssgssgssssgsss. Give prob of picking 1 i and 1 s.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1\/2, 0.26, -246, 2 in decreasing order.\nAnswer: 2, 1\/2, 0.26, -4, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3\/9 + 2*x**2\/3 - 4*x - 80\/9.\nAnswer: 2*(x - 4)*(x + 2)*(x + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 708660 and 10287.\nAnswer: 6377940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/(-12) - -1 - (-27)\/162.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.06 - -0.02. Let s = f - -0.92. Which is greater: 0.04 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -89?  (a) 4\/7  (b) -5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14)\/(-112) - 62\/(-16). Suppose -5*q = -w - 1. What is the greatest common factor of 3 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 - (-322)\/77 - (-4911)\/33 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/(-9) - 0)*-6. Suppose -i*o - 5 = 2*q - 3*q, -17 = -3*q + 5*o. Solve 5*k + 3*f - 6*f = -q, -3*f = -4*k - 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24033, -24041, -24061, -24099, -24161, -24253?\nAnswer: -24381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9 + (-3 - (5 - (-3)\/6)). Let p = 0.24 - -17.76. What is the closest to -1 in 3\/4, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 98376489 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2400589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-2*(-27384)\/(-21516)?\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of -16*d**8\/7 + d**4\/2 - d**3 + 131*d. What is the third derivative of i(t) wrt t?\nAnswer: -15360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 58, 54, 50?\n\"Answer: -4*j + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22701460*f**3 - 53*f**2 - 2*f + 10465 wrt f?\nAnswer: 136208760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 8*v**3 - 5*v**2 - 5*v + 6. Let u(l) = 7*l**3 - 4*l**2 - 4*l + 7. Determine 4*k(h) - 5*u(h).\nAnswer: -3*h**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/15)\/((-2)\/5). Let s(u) = 15*u - 136. Let k be s(9). Which is the second biggest value?  (a) m  (b) k  (c) -4  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 32228, 41836, 57858, 80300, 109168, 144468?\n\"Answer: a**3 + 3201*a**2 - 2*a + 29028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 58\/580*30\/(-8)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 74*c = 71*c - 27, -4*c = -3*k + 29 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -41*t. Let n = -15 - -29. Let v(h) = -7*h - 10. Let r(s) = 20*s + 28. Let q(w) = n*v(w) + 5*r(w). Give q(o(x)).\nAnswer: -82*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 5 = 93*s - 189*s + 101*s, 4*s - 10 = i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Expand 256*v**2 + 20567 - 20567 + v**2 + 4 - 4 + (4 - 1 - 2)*(0*v**2 + 3*v**2 + 0*v**2).\nAnswer: 260*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y - 14. Let b be m(7). Let s = 4 - b. Solve s*r - 3*r = 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1118, 5, 9, 0.2, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + 7*o**2 + 4*o - 5. Let s be x(-6). Suppose 0 = -132*g + 3169 - 2641. Solve -g*w - 1 = s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 757 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12941.\nAnswer: 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + -7 + (-6 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3.8?  (a) 971  (b) 1\/6  (c) -656\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c**4 + c**3 + 301822*c - 2793135.\nAnswer: 4*c**3 + 3*c**2 + 301822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -81*g*r*y**4 - 2627*g*r*y**3 + 4958*g*r - 2*g + 149*r*y wrt y?\nAnswer: -972*g*r*y**2 - 15762*g*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2459*g**2 + 2463*g**2 - 7379*g**2 + 2459*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + t - 24 = 0, 4*t + 136 = -5*j + t. Let x = -17 - j. Calculate the least common multiple of (-31)\/(-4) + (-1)\/(-4) and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x. Let t(d) = -5*d + 8*d + d + 0*d. Give b(t(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5885 is divided by 1936?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31 - -35. Factor -7*m**5 - 4*m**2 + 4*m**o - 24*m**3 + 28*m**3 + 3*m**5.\nAnswer: -4*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from lzzzpzzll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12121121 + 102220?\nAnswer: 20001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 33073995?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**2\/s**(1\/4)*(s*s*s*s\/(s\/(s**2*s))*s*s)\/s**2)**(-1\/8) assuming s is positive.\nAnswer: s**(-31\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7619 - -4?\nAnswer: 7621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 998\nAnswer: 1\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - r**2 - r - 3. Let p be s(0). What is the smallest common multiple of 16 and p\/18 + 49\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25 - 22. Let q be (-26)\/1*(1\/(-2) + 0). Suppose 4*n - q = i, t*i + 4 + 3 = 4*n. Solve -n*v - 3*r - 28 = 0, -2*r + 0*r = 5*v + 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1665 - 838 - n - 827.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.42 + -0.02. Let u = 7.7 - 8. Let d = 7 - 5. Which is the second smallest value?  (a) u  (b) y  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 4*y**2 + y - 1. Let o be b(1). Suppose 12 = -4*t - o*d, -4*d - 7 = 5*t + 3. Let g be (t + -2)\/(-1 + 3). Solve -8 + g = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 4*k - 6. Let n = -5 + k. Let f be -2*(-3 - (-2 + 2)). Solve -4*t + 2*i - 12 = -0*i, f = -2*t + n*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 105052 - 4?\nAnswer: 105044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*-3*5\/120?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 110 + 60. Let i = -30 - g. Let q(s) = -2*s + i*s**3 - 5*s**3 + 5*s - 1 - 2*s**2 + 0*s**3. What is q(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.289337 centuries to months.\nAnswer: 2747.2044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5249 + -47239\/9. What is the third biggest value in b, 6, 0.2, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s**3*s)\/s)**(7\/3)*(s*s\/((s\/(s\/(s\/(s*s*s\/(s**(-12)*s)))*s))\/s))**(-37) assuming s is positive.\nAnswer: s**(-1859\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -48, -212, -482, -852, -1316, -1868, -2502?\nAnswer: -3212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of 4\/15*n**5 - 1\/3*n**3 + 1\/3*n**4 - 2\/3*n**2 - 1\/3*n + 2. Factor w(v).\nAnswer: (v - 1)*(v + 1)*(2*v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 1)*6\/12. Let v be 0 - -1 - (r + 1). Suppose v = 3*q + 2*q. Solve 2*c + 28 = 4*z, q = -4*z + 4*c + 24 + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 4*f - 20. Calculate the remainder when 35 is divided by l(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 4*x + 15. Let l be 0 + 0\/(x\/(-3)). Sort 2, -5, l in decreasing order.\nAnswer: 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -3*z**2 + 2*z - 2. Let p be o(1). What are the prime factors of (90\/(-75))\/(p\/200)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3 + 27405*g**2 + 109683*g - 137085.\nAnswer: -3*(g - 9139)*(g - 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-14)\/(-2) + (-6 - 131\/(-12)) and -49\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 times 536.48\nAnswer: -10729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 28.266, -1204, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = 25 - 25. What is the third derivative of n*w**4 + 27*w**4 - 5*w**3 + 144*w**2 - 31*w**4 wrt w?\nAnswer: -96*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zsusmmzuzzzzsmzzu. Give prob of sequence uuz.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/j**(1\/4)))**(-33)*(j\/j**1)**(-19) assuming j is positive.\nAnswer: j**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -23 + 7*p + 8 + 17. Let w be (2 - 1) + (5 - (-2 + 9)). Let k(h) = -h. Determine w*a(n) - 6*k(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33, 59, 83, 105, 125?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15924 = 126*d - 16932. Let o(x) = 3*x**2 + 3*x + 2. Let f be o(-2). Is d at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11320 - -3?\nAnswer: -11311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*p + 2*p. Let v be 4*1*(-2)\/p. Let c(q) = -8*q - 6. Is c(v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -371*h - 4. Let r(o) = -373*o - 3. Determine -3*n(z) + 4*r(z).\nAnswer: -379*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*h + 6 - 16 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5328117409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 20 = -2*i - 5*f, -4*i + 16 = 4*f. Let v(r) be the third derivative of i*r**3 + 0 + 4*r**2 + 0*r - 1\/12*r**4. Let d(b) = b. Give d(v(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 4*o**2 + 3*o - 4. Let m be d(4). Let h(j) = -j**3 - 3*j**2 + 14*j - 4. Let u be h(-6). What is the greatest common factor of u and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 778609.\nAnswer: 13, 101, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -8*k**3 + 2*k**2 + k - 1. What is the smallest common multiple of 62 and q(-1)?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 230 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 34*t + 1 - 8*t.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10628 + -10572. Suppose -2*l + 5 = 97. Let r = p + l. Calculate the greatest common divisor of r and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {n: 4, j: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11448 = 3*l - 15*l. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8665 to 2 decimal places.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/63*(-809508)\/(-3352)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 11*m**2 + 1. Let y be (3 - 0)\/(-2 + 5). What is the units digit of g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -29 + 97. Suppose 18 = 10*x - 4*x. Suppose -3*n = x*h - 63, 4*n - 75 = h - 2*h. What is the remainder when j is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/15, 7, -142, 1, 1\/2 in descending order.\nAnswer: 7, 1, 1\/2, -1\/15, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {g: 1, z: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1808 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*i**2 + 147*i - 30*i**2 + 19*i**2 to t*i + w + q*i**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 5\/6, -3, -17 in descending order.\nAnswer: 5\/6, 0.2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence odd when three letters picked without replacement from {o: 5, d: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.957 to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2745 + -19213\/7. Which is the third biggest value?  (a) y  (b) -12  (c) -3  (d) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10.1*103\nAnswer: 1040.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 3) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -16 - 4*r**2 - 6 + 5*r**2 as i + t*r + y*r**2 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83197 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*w = 28*w - z - 34, 3*w = 3*z + 30 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/4*(42\/(-18) + 5). Solve -5*j - 16 = 2*z - j, 0 = y*z - 4*j - 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1668 a factor of 20830244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 5434 = -9*g + 2*j, -g + j + 1360 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f**2. Let i(a) be the third derivative of -23*a**4\/24 - 349*a**2. Calculate i(l(g)).\nAnswer: 69*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -57 - -67. Let l(t) = -t + 17. Give l(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-29)\/4 - (151 + -157) - (-1 + 0). Which is the biggest value?  (a) d  (b) 1  (c) 2\/109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence peep when four letters picked without replacement from ppepepppppppp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + -2. Let n = w + 10. Suppose 0 = -n*u + 3*u - 42. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1414\/112 - 12 - (-4 - (-66)\/16). What is the nearest to 0.3 in 0.03, f, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + -73a45?\nAnswer: -73a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85)*-1*-6)\/(2*sqrt(500) + sqrt(500)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -53*u - 1\/3*u**3 - 1\/3*u**4 + 36 + 53\/3*u**2 = 0.\nAnswer: -9, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 27\/77?\nAnswer: 27\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1350*y**4 - 4*y**3*z**3 + 88*y**3 + y**2*z - 2*y*z**3 + 247*y*z + 2*z**3 - 19*z - 14 wrt y?\nAnswer: 32400*y - 24*z**3 + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 0, 35240, -1, 29 in ascending order.\nAnswer: -2, -1, 0, 5, 29, 35240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 6*v - 3*v. Put v, 0, 3 in decreasing order.\nAnswer: 3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 123 = -0*j. Find the common denominator of (4\/(12\/j))\/12 and -61\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -8*t**3 + 2*t**2 - 6*t + 1. Let l(r) = -7*r**3 + 2*r**2 - 5*r + 1. Give 4*l(f) - 3*s(f).\nAnswer: -4*f**3 + 2*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of -x**6\/120 - x**5\/60 - x**4\/24 + 59*x**2 - 1. Let v(u) = -u**3 - 2*u**2 - 2*u - 5. Calculate -2*n(y) + v(y).\nAnswer: y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -25497, -25426, -25313, -25158, -24961, -24722, -24441?\n\"Answer: 21*n**2 + 8*n - 25526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, -4, 339.81?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 23\/5 - (66\/(-15) + 5). Suppose y = d*f - 14 - 266, 0 = 2*f + 2*y - 150. 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 the tens digit of 3753828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -966591 or -966596?\nAnswer: -966596","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Round -35894.593 to the nearest 10.\nAnswer: -35890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of -34*s**3 - 47*s**2 + 331*s. What is the derivative of d(i) wrt i?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of -g**7\/210 + g**6\/180 + 4*g**5\/3 - 7*g**2. Let o(s) be the third derivative of b(s). Let l(t) = -t. Calculate l(o(p)).\nAnswer: 24*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 336*b + 1991 = -4057 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011110010101001001111 + -110000011?\nAnswer: 1011110010100011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 10*u**2 - 155*u - 155. Give a(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + -101102?\nAnswer: -101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 13\/3, -0.1, -0.3, -2?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*35.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/1*(-1)\/(-16). Suppose q = -2*c + 75, 0 = -0*q + 3*q + 15. Let d be 9\/15*c\/(-8). What is the biggest value in d, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.555 times 0.5?\nAnswer: -0.2775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 4*u - 26. Let t be s(-9). Let q = t - -107. Let z = -133 - q. What is z rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/8 of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001134 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 901303867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/19, 0.01, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5657411 divided by -3.\nAnswer: -5657411\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of -k**7\/2520 + k**6\/144 + 3*k**5\/40 + k**4\/8 + 5*k**2. Let m(z) be the second derivative of x(z). What is m(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1864 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 288*s - 17*s + 95*s - 31*s + 0.\nAnswer: -241*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 180*t - 9718. Let o be k(54). Which is the closest to -1\/2?  (a) o  (b) 0.23  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19621 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 16\/(-24) + (-76)\/(-132). Let f = 1.7 + 3.3. Let z = -0.3 - 0.2. What is the closest to -1 in w, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/20 - 197\/(-5). Let d = a - 36. Calculate the lowest common multiple of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -176 divided by -44\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 15911b9 + 4?\nAnswer: 1591201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/10*1 - 70\/24 and 121\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*w + 36069 = 3*k - 128*w, 2*w = 6. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**4 - w**5 - w**4 + (2*w + 0*w - w)*(-2*w**4 - 4 + 4) + 7*w**5 + 5*w**5 - 5*w**5.\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 152 + -148. Suppose 5*q - 841 = 2*p, 2*q + q + m*p = 515. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -762489 or -762414?\nAnswer: -762489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(4 - (-1)\/(291\/(-1166))). Let f = t + 489. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11523 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -3*a**2 - 2*a + 6. Let y be v(-5). Let f(q) = 11*q**2 + 4*q - 1. Let z be f(3). Let b = y + z. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2677, 2559, 2425, 2269, 2085?\n\"Answer: -a**3 - 2*a**2 - 105*a + 2785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -54 (base 14) to base 9\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 107206 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (1 - (-8 + 4 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -301, 3 in descending order.\nAnswer: 4, 3, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - 3*w - 2*w)*(1 + 2 - 1)*(-6 - 2 + 1)*((-3 + 4 + 1)*(-12 + 5 - 24) + 1 - 1 + 1).\nAnswer: -1708*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4725 and 84600.\nAnswer: 1776600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9451388208?\nAnswer: 2, 3, 4091, 48131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 550 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 148765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h**3\/3 - 1880*h**2 - 605588*h\/3 - 199984 = 0. What is h?\nAnswer: -1293, -116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59280*a**2 - 2*a - 2*a**3 + a - 59280*a**2 + a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -537 - -539. Suppose 3*v = i*v + 5. Suppose -l + 4*c = 4, 4*l + 4*c + 29 + 7 = 0. Put -2, l, -3, v in decreasing order.\nAnswer: v, -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -26*r**2. Let x(f) = -11*f + 1. Calculate s(x(l)).\nAnswer: -3146*l**2 + 572*l - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (2*1\/18)\/((-121)\/(-16335)*120)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -155769839 or -155769841?\nAnswer: -155769839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/22878 and -59\/25420?\nAnswer: 228780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 5*n + 516. What are the prime factors of 2\/((-399)\/n - 3\/2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/35?  (a) -2920\/9  (b) -2\/25  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -47*q + 398 + 266 - 100 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 71 = 3*x, 0*w - 2*x = w + 4. Let p = -9 - w. Let m be 4\/11*p - 2. Which is the closest to -0.2?  (a) 0  (b) m  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 4*n - 452, -3*w - 5*n + 2*n = -681. Let p = 685\/3 - w. What is the closest to p in -0.1, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of 3*g**6\/10 + 11*g**5\/10 - 555*g**4\/2 + 400*g + 9. What is the third derivative of o(r) wrt r?\nAnswer: 216*r + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**(2\/11))\/h**(-5))\/(h**4\/h**(-3\/8)))**1 assuming h is positive.\nAnswer: h**(159\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -4 - 1, 5*u = 3*x + 10. Let s be (-1 - 1*-2)*(x + 24). Let i = 5 + s. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 14.30202\nAnswer: -42.90606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -51 + 10. Let r = o + 61. Let p(s) = -s**3 - 14*s**2 - 12*s + 20. What is the remainder when r is divided by p(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 8*y**2 - 201*y - 118. Give c(30).\nAnswer: 1052","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + l - l)*(-2*l + 4 - 4) - 10*l**2 + 2 - 2 + (-1 + 1 - 2*l)*(-6*l + 4*l + 0*l) - 15*l**2 + 4502 - 4502.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2\/30419 + 3011461\/304190. Find the common denominator of w and (-2)\/6 - (-38)\/(-48).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -56 + 4. Let f = -52.6 - x. Let o = 0.5 + f. Sort 3, o, 1\/8, 0.1.\nAnswer: o, 0.1, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 11*i + 79. Let s be m(-7). Let p(y) = 3*y**2 - y + 1. Calculate p(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 61 - 66. Suppose 5*v - 42 = 28. Let g be v\/(-60) + 6\/15. What is the third biggest value in g, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*a - 2*p + 30, 4*p - 44 = 81113*a - 81117*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3345014107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(1\/12))\/(a*a\/(a\/(a\/(a\/a**(-9))))))**(-34) assuming a is positive.\nAnswer: a**(-1819\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 15315*f + 122514. Calculate j(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 9*d**2 - 11*d + 3. Let r be (-5)\/(-10)*-2*0 + 4. Let q(p) = -5*p**2 + 6*p - 2. Calculate r*k(c) + 7*q(c).\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/15?  (a) 85  (b) 5  (c) -16  (d) 773\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-201*a - 552*a + 295*a)*(a + 1 - 1 + 3*a - 1 + 1 + 0*a + a + a + 0*a + a - 2*a + (0 + 3 - 2)*(-3 + 2*a + 3) + 2*a - 4*a + 3*a).\nAnswer: -3664*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -3*a**3 - 12*a**2 - 2*a + 29. Let u(c) = -7*c**3 - 23*c**2 - 4*c + 58. Let h(b) = 9*q(b) - 4*u(b). Is h(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29731?\nAnswer: 13, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of 23*a**3\/6 + 31*a**2\/2 - 2*a - 4. What is the remainder when d(11) is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -o + 14, 4*s + 2*o = -0*s + 16. Suppose j = -1, -4*d + 3*j = -2*d - 13. Suppose d*k - 3*k = 36. What is the highest common factor of k and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**4\/15 + 516046*q**3\/15 - 206404*q**2 - 12384816*q\/5 = 0. What is q?\nAnswer: -6, 0, 12, 258017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -56, -0.5, 24, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -4084\/3259 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9686 is divided by 94.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18 by -4167606.\nAnswer: 3\/694601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 64 + -61. Solve -q - 2 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -33315\/46 equal to -725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28.37 - 0.37. Suppose -2*n + 17 = -x + 2, 4*n + x - 15 = 0. Is j > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from muuhlwmwwmwuwwwlwww. What is prob of sequence hmm?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78347415?\nAnswer: 3, 5, 29, 233, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 211271\/910 + -1625\/7. Find the common denominator of 27\/260 and i.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*j = -97 - 17 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1404 by 6.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 7*u**2 + 2*u + 3. Let y = 71 - 76. Let v(a) = 2*a**3 + 15*a**2 - 4*a - 5. Let q(m) = y*s(m) - 2*v(m). What is q(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03 in -65, 2\/7, -5, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 182307 divided by -6?\nAnswer: -60769\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 210 divide 14\/(1750\/25)*23685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13940894 rounded to five decimal places?\nAnswer: -0.13941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(99) - sqrt(11)) + -1)**2 + ((1*sqrt(396))**2 + sqrt(396) - sqrt(396))*-1.\nAnswer: -343 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m**2 + 8*m - 6. Let v be a(-6). Let x = 18 - v. Suppose -2*c - 5*j + 1 + 75 = x, 3*c = 5*j + 89. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 395238 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*z - 32 = 10*i + 36*z - 86*z, 5*i - 2*z + 49 = 17 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -3, -3\/5, 7, -259, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = c + m - 8, -13 = 3*c - 4*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/3 or -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -47450*c**2 - 13*c - 15141. Let x(j) = 7908*j**2 + 2*j + 2523. Let t(s) = 2*m(s) + 13*x(s). What is the first derivative of t(h) wrt h?\nAnswer: 15808*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q + 13 = 9*q + 4*f, -f + 2 = 0. Suppose 4*w + 22 = m + m, q*w + 14 = -2*m. Is m greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 0, -0.1, 123?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -654, -1365, -2134, -2961, -3846, -4789, -5790?\nAnswer: -6849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 482 is divided by 141?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence spds when four letters picked without replacement from spddzppspppds.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -8*i**3 + 6*i + 37. Let o(y) = 15*y**3 - 13*y - 75. Let b be 4\/(-34) - 1500\/255. Let p(x) = b*o(x) - 13*m(x). Differentiate p(j) with respect to j.\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2046 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72684 + j - 72684.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + 12*m - 14. Let d be p(11). Do d and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.286 - 0.186. Let l = 64 + -69. What is the closest to 0.2 in 1, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 40 + 2 = 0. Which is greater: 22 or f?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x - 4. Let b be z(6). Let s = 4390 + -4386. Solve -s = -2*a + b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*z + 9*z = 5*c - 447 + 398, -4*c + z - 18 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -2*o - 1608. Calculate the highest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 3*i - 65. Let f(t) = 2*t - 33. Calculate 10*f(m) - 6*z(m).\nAnswer: 2*m + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 121401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000803 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -6*k + 2*k. Put -4, k, -1 in increasing order.\nAnswer: k, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 5*b**3 + b. Let g(a) = a**2 + 5*a + 7. Let v be g(-4). Let y(u) = u**3. Give v*y(k) - m(k).\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.563 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 4*d - 35. Determine w(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 8*k = -25. Let j be -2 + k + -3 - 0. Solve -20 = 4*n, -5*r + 4*n - 2*n + 15 = j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 394 is divided by 231?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.729 - 7.529. Put -4, y, 0.3, -0.2, -3 in decreasing order.\nAnswer: 0.3, -0.2, -3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u - 4. Let h be (-4)\/(1*2\/(-3)). Let j be z(h). Suppose 0 = j*c - 0*c + 4*l - 2, -5*c + l = -49. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -114.382 and 1439580.828.\nAnswer: 1439466.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/6*(-4)\/8\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(2\/3))**(-14\/5))**34)**(3\/28) assuming p is positive.\nAnswer: p**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-457 + 3*n**4 + 5*n**4 + 412)*(-9*n + 0*n + n)*(-4 + 1 + 1).\nAnswer: 128*n**5 - 720*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 775 - 771. Suppose 0 = t*h + 16, 0 = -4*s - 2*h + 5 + 3. Let c(p) = p**2 + 5*p - 1. Let k be c(-6). Solve k*u = s*u + 3*d - 7, 2 = d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/3)\/8*42*68\/119.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 7*v**3 - 3*v**2 - 3*v - 5. Let c(j) = -8*j**3 + 9 + 4*j - 10*j**2 - 3 + 14*j**2. Let x(u) = 3*c(u) + 4*y(u). Differentiate x(f) with respect to f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -33274 and -33274 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from kgkbgggggg.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/2 + (-3)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from zfff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.54 - -0.64. Let z = p - -0.9. Put 0, z, 0.4 in ascending order.\nAnswer: z, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + 6)*(-112)\/(-7). Calculate the remainder when 54 is divided by 5\/(-2)*(-4 + x\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a decade in years?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 0*m - 9 = 0. Let f = 11 + m. Suppose -4*t**3 - 2*t**4 - 4*t**f - 2\/5 - 2\/5*t**5 - 2*t = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.33, -7, 159, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -383*a + 1334*a - 928*a.\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2*z**3 - 86*z**2 - 812*z + 3. Let s be w(-29). Let p = -1 + -4. Let q = p - -4.1. Sort q, s, -1\/12, -1\/5 in decreasing order.\nAnswer: s, -1\/12, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13257.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3531071?\nAnswer: 3531071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 28*t - 1. Let b(y) = -24*y + 1. Let n(u) = -4*b(u) - 3*s(u). Suppose 3 = 5*h - 2*h. Let r be n(h). Solve -4 = -5*a + r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -2*y + 5. Let a be 4\/10 - (-4700002)\/y. Round a to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 377450 to the nearest 1000.\nAnswer: 377000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -18, -k + 77385 = 313*s - 312*s. What are the prime factors of s?\nAnswer: 3, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2651380 by 860.\nAnswer: -3083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 28*o**3 - 2*o**2 + 2*o + 122. Let s(w) = -65*w**3 + 5*w**2 - 4*w - 245. Let h(g) = 7*m(g) + 3*s(g). What is h(0)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1364*a + 42167 - 47114 = 56433 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 82 - 1863*c**3 + 76 - 1474*c**3 - 157 - 1964*c wrt c.\nAnswer: -20022*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + 125?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*x - 54 = 101*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.9 - 3. Let n be ((-2 - 1)\/(-3))\/1. Let f = -0.22 - -0.02. What is the closest to n in i, -0.3, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1909 is divided by 127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 - 3*g + 79. Let q be w(-10). Suppose 0 = -2*k + 62 - 12. Suppose k - q = 4*j. Solve -5 = 3*n - 5*c, -c + 20 = j*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 623934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(539) + 2*sqrt(539))**2 + 4*(0 + sqrt(176)) + -1.\nAnswer: -26*sqrt(11) + 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(17) - (sqrt(153) + -3)**2)*3 - ((-2*sqrt(187)*-4)\/sqrt(11))**2).\nAnswer: -1575 + 57*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -82*o*t**3 - o*t**2 + 1079*o + 9821746*t**3 wrt o.\nAnswer: -82*t**3 - t**2 + 1079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1040 and 56784?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14252 + -1552?\nAnswer: -20244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 12 = 5*k. What is the second derivative of -k*m**2 - 2*m**2 + 7*m**2 + 3*m wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -329 > -259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5300 by 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -76*u - 302 - 850 - 140 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -5*y**5 + 780*y**4 - 21610*y**3 - 48780*y**2 + 69615*y = 0.\nAnswer: -3, 0, 1, 39, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -519 greater than -518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**1*i)\/i)**(6\/11)*i*i**(-2)*(i\/(i\/(i*i\/i**(3\/8)*i)))\/i)**(8\/7) assuming i is positive.\nAnswer: i**(103\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8)\/(-10))\/((-2)\/(-5)). Let n(f) = 0*f**v - 6*f**2 + 9*f**2. Let b(q) = -2*q**2. Calculate n(b(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 AM and 12:03 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 + 0 + 2)*(-2*y - 3*y + 4*y) + 120*y + 174*y - 81*y)*(3*y**3 - 3*y**3 + 3*y**3) as z*y**3 + t*y**4 + m*y + r*y**2 + i and give t.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2255 - -2255.4. What is the second smallest value in r, 0, 1\/4, 2\/3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 9*m**2 + 3*m - 38. Let d be v(-8). Let y be 5*(2 + d + -3). Solve -y - 5 = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6522974 is divided by 51362?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48*t**4 + 71*t**4 - 99*t**4)*(-2 - 11*t + 3*t + 1).\nAnswer: -160*t**5 - 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -306045 times -0.28?\nAnswer: 85692.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5165, -5408, -5807, -6356, -7049, -7880, -8843, -9932?\nAnswer: -11141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-19 - -13) + 46\/2. Solve w + 11 = 2*j, -6*j = -j + w - k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*a + 10*a**3 - 5*a**3 + 2*a**3 + a.\nAnswer: 7*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*g - 183 = -0*g, -j - 5*g = -218. Round j to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 2*d - 1. Let i be v(-1). Let f = -1\/45 - -19\/180. Let h = -844957 - -844960. Which is the closest to i?  (a) h  (b) f  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.15 * -1.3.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4 less than 258792?\nAnswer: 258790.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = -4*k - 56. Let a be 7492\/100 - k\/400. What is the highest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -182*r**2 + 16*r**2 + 184*r**2.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 206, 746, 1652, 2930, 4586, 6626?\n\"Answer: r**3 + 177*r**2 + 2*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 363 and 62733.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -614*y - 70 = -600*y. Let i be 2\/(-2)*0\/3. Sort i, y, 2, 3 in increasing order.\nAnswer: y, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of t**4\/12 + 4*t**3\/3 + 6*t**2 + 10*t. Is 9 a factor of i(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-12) + ((-18)\/4)\/(-1). Suppose -w*a - 2*r + 7*r = -465, -5*r + 75 = a. What is the units digit of a*(5 + 0)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 + 6*p + 2. Let b be a(-6). Suppose -v - b*v = -9. Let f(o) = 2 - 5*o**2 + o**3 - 7 + v*o + 2. Give f(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide ((-8 - -9) + -3)*19\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -4*o - 4, z - 3*o = -6*o - 9. Let d be -4*((-9)\/z)\/12. Let c be ((-2)\/4)\/(d\/(-8)). Solve w + 5*t = -23, -5*w + 17 = -c*w - 3*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-82 - -2) + (3031 - 2927).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -268 + 1077\/4. Let r = 14 - 12. Is r at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -7*g**3 + 9*g**2 + 13*g + 42. Let x(q) = 9*q**3 - 9*q**2 - 14*q - 53. Let h(c) = 5*l(c) + 4*x(c). Calculate h(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5386867*o**6 - 29*o**2 - 262*o - 32?\nAnswer: 646424040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 21912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -1. Suppose x = -0*t + t - 1. Is (-3)\/((t + 1)\/(-12)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3605*m**3 + 4075*m**2 - 2*m wrt m.\nAnswer: 21630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.0737 + -96.1737. Let n = -103 - j. Let o = -23 - n. Round o to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 226 + -149. Let m(u) = u**2 - 3*u - 7. Let r be m(6). Calculate the highest common divisor of l and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11848, 1, 31, -75 in decreasing order.\nAnswer: 11848, 31, 1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 220628462756 + 6*r - 220628462756.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.045 + 23.955. Let f = t - 27. Put -2, f, 0.5 in descending order.\nAnswer: 0.5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17*(-4)\/18 + 0 and 25\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -23*o - 8. Let w(y) = -11*y - 4. What is -6*d(g) + 13*w(g)?\nAnswer: -5*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13145 - 3?\nAnswer: 13142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11216913 divided by -1.\nAnswer: 11216913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 + (-13 - (11 + (6 - 17)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2795 - -3?\nAnswer: -2792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0455 - -0.04550249. What is h rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60.3 + -60. Let n = 25.5 + -20.5. What is the nearest to -15 in n, -5, r, -4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -9*c. Let v(z) = -2*z**2 + 6*z - 6. Let k be v(3). Let p be k\/2*7\/7. What is the units digit of h(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 + -18. Suppose 0 = -n*u + 8*u + 15. Suppose 8 = -q - q. Put -1, u, q in descending order.\nAnswer: -1, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 + 3*s - 5. Let k be l(-4). Let c be (112\/6 + (117 - 133))*3\/(-4). Sort 0, c, k, -11 in descending order.\nAnswer: 0, k, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-54)\/(-176) - 18\/99 - 386\/16.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + (22 - 6) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -246 + 247. Let t(o) = -o**2 + o. Let v(l) = -5*l**3 - l - 1. Let r(x) = -6*t(x) - v(x). Let g be r(f). Solve -g = -2*s - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -3*r - 1. Let y be j(-1). Suppose -5*x + 9 = -y*x. Suppose 4*z + 402 = -3*w + 1303, x*z = 5*w - 1550. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13235793.\nAnswer: 3, 107, 41233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 86328 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 362 is divided by 241?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 1328 = x, 344 = -3*w + 2*x + 1675. Let o = -443 + w. Solve 0 = -3*i + 5*h - o*h - 15, -6 = 5*i - 2*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/(-2) - 0)*6. Let h(w) = w**3 - 9*w**2 - w + 13. Let g be h(o). Let b be g\/18 + (-1057)\/(-63). Calculate the greatest common divisor of b and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7499 is divided by 1666.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*h - 7. What is the greatest common factor of 63 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - 32\/(-14)) + (-1197786)\/(-238) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 8, 41.\nAnswer: -12, 8, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -54032*v + 54317*v + 9120 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -0*y + 4*y + 17, 0 = -5*i + 4*y + 23 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 3\/2, 4\/5, 111, 92?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2671 - -4036. Suppose -13*p + 8*p = -u. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*(y\/(y\/y**(-4)))\/y*y\/(y\/(y\/y**(-5))))\/(y**(2\/7))**1 assuming y is positive.\nAnswer: y**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.44 - 0.68. Let m = -0.76 + z. Is -3\/161 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 2, -40, 1 in ascending order.\nAnswer: -40, -8, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -149 + 422. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3046 is divided by 436?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 z, 1 q, and 1 u when four letters picked without replacement from zyquyucqyyqcqtc?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70 and 361 - (-3 - 8 - -8).\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = 48*n - 112 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(300) + ((sqrt(300) - (-1 + sqrt(300)))*-2)**2 - (4*2*sqrt(300) - sqrt(300))**2)*6.\nAnswer: -88171 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (4340\/245)\/(-31)*7*2\/44\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - 0 - (0 - 3). Solve -2 - 14 = r*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vzv when three letters picked without replacement from xvvxxvvxzvvvx.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, x: 3, t: 1, n: 1}. What is prob of sequence xn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, v: 7, r: 5}. What is prob of picking 2 r?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q. Let v = 6 + -9. Let x be -2 - v - (-2)\/2. Let b(o) = -x*o - o - o. Calculate b(l(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 183 + -193. Let c be (m\/25 + 0)\/(-2). Let x = -3 + 4. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 times -0.02?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*x = 38*x + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -59*y**3 - 1. Let w be u(-1). Suppose -2*x - 302 - w = -4*l, 0 = -2*l - 5*x + 192. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**10*o**17)\/(o*o**(-7))**(1\/58) assuming o is positive.\nAnswer: o**(786\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11878 - 11881. Let o(y) = y**3 - 3*y**2 + 2*y - 4. Let x(l) = -2*l**3 - 2*l**2 + 3*l**3 - 3 + 8*l - 5*l - l. What is r*x(p) + 2*o(p)?\nAnswer: -p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*q + 5*q - q)*(-3 - 2*q + 3) - 2*q**2 + 2*q + q - 4*q in the form o + r*q**2 + i*q and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1242599996)\/38 + -4*(-6)\/(-228). Round t to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1427246 = -375*k + 7741129. What are the prime factors of k?\nAnswer: 23, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32827 is divided by 32803?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 10 + -5 - (-404 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -29*j - 3964. Give z(-137).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-10)*(-4400)\/(-440)*(-58)\/4\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-110)\/8 + (-288 - -300)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1455270*v**2 - 1455274*v**2 + 4365819*v**2 - 1455275*v**2 + 4*v**3 + 5*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(180)*-1*1 + -1 + sqrt(180) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 281 - 265. Suppose 5*w - v = -3*w. Calculate the highest common factor of 32 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 482066440 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116*a = 124*a - 376. Let p(y) = 0 - 2 - 3 - 87*y. Let z be p(-6). What is the greatest common divisor of z and a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1077 - -1269. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -2 - 12 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*v + 38*v = -35*v - 16. Let b(s) = -2*s + 1. Let q be b(-1). Suppose -r - 6 = 2*u - q*u, 3*u + 3*r - 6 = 0. Sort u, 0, -2, v in descending order.\nAnswer: u, 0, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20400 = 100*c + 57*c - 7*c. Calculate the lowest common multiple of 510 and c.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 5*k + 7*k - 5 - 1.\nAnswer: 12*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 242493 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1750 + 1891. Which is bigger: -1\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rroroiria. Give prob of sequence io.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -11*z + 6*z. Suppose -4*o + 0 + 9 = -z*i, 2 = -3*i - o. Calculate the smallest common multiple of 1 and (i - 1)\/(12\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*4\/(-48) + (-195586)\/(-152). What is the greatest common divisor of x and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0*1\/5)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -3 + 10 + -3 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 v when three letters picked without replacement from yvaylvymmyayyma.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nsw when three letters picked without replacement from zsznwln?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.2 and 0.6220201664?\nAnswer: 0.8220201664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*(-5 + 3 - -1). Let f(r) = 2*r - 9. Let x be f(6). Suppose 4*n = -2*t + 32, 5*t = -4*n + x*n + 8. Calculate the highest common factor of n and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/3 - -1)*324\/(-12). Suppose -o*k = -221 - 328. Let f = k - 26. Solve -s + a = -3*a - 7, -5*a = 4*s + f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5 = 21. Let o(j) = j**2 - 24. Let x(h) = -h**2 - h + 23. Let g(s) = -3*o(s) - 4*x(s). Is g(i) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 80610 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*p + 41119 - 4954 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - x + 34 + 1, 4*x = -3*b + 120. What is the smallest common multiple of b and (0 - 1 - -12)*10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 7:22 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000483338 rounded to five decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 minus 23730143?\nAnswer: -23730143.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 take away -0.1749?\nAnswer: 0.6749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 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: Round 0.000373175 to five decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1118*n + 5520 = 658*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - s + 45 = 0, 0 = -4*s - 28 + 8. Let r = -47 + l. Suppose x + r*x - 146 = -3*n, -2*x = -5*n + 226. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 221405863836 - -3\nAnswer: 221405863839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 42919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26923.5299 + 26906.7. Let f = -4.1719 + x. Let l = f - -21. Round l to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b - 9*b + 18*b + 1716*b**2.\nAnswer: 1716*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4123 + 12096 = 7*s. Suppose 3*l = 2*w + 1756, -2*l - 6*w + w + s = 0. Let k = l + -91. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 - 3*r + 25. Let t be i(-6). Let c(m) = 3*m - 10. Let y(g) = -g + 3. Determine t*y(q) + 2*c(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17430 divided by 2905.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (441\/(-294))\/((-3)\/4). Sort -1, r, 6, -5 in descending order.\nAnswer: 6, r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**4*z\/(z\/z**(2\/9)*z))\/((z*z*z*z**0)\/(z*z\/(z*z**(2\/9))*z)) assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.44 + -0.3. Let r = j - 0.1503. What is r rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1806189920 to the power of 1\/3, to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y*y**(-8\/9))\/y*y)*y\/((y*y**(-2))\/y*y)*y*y)\/(y**15*y*y**(-4)\/y) assuming y is positive.\nAnswer: y**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 1  (b) -822  (c) 0.5  (d) -2234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x**4 - 10 + x - 221837*x**2 + x - 13*x**3 + 221837*x**2 - 5*x to u*x**2 + d + s*x**3 + m*x**4 + k*x and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1476.49259 rounded to the nearest 10?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 PM and 12:36 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*q + 0*q + q + 16 - 10*q to the form g + c*q and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 13*w - 36. Let o be h(9). Suppose -4*j + o = 3*l, 108 = 3*l + l + 2*j. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*l + 8*l**3 + 7*l + 3*l - 7*l.\nAnswer: 8*l**3 + 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z + 7. Let v be k(4). Suppose -4*l + 4*c - 3*c = -96, v*l = -5*c + 72. Suppose 19*w = 16*w + l. Sort w, -5, 4, -4 in decreasing order.\nAnswer: w, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 - 35*l + 109. Let y be v(32). Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12)\/(-15)*6\/24. Solve -4\/5*d + t*d**2 + 3\/5 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14679*h**5 - 4*h - 4227?\nAnswer: -293580*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 + 15 = 17*j. Suppose -3*g = -8*g - j*t + 780, 0 = -5*g - 3*t + 775. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (28 - 6) + -8 + -7 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -63 + 35. Let z = -1016 + 890. Let i be -1*(x\/z + (-58)\/18). Solve 3*q + 2*s = -13, -5*q - i*s - 15 = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 666, 1334, 1992, 2634, 3254, 3846?\nAnswer: 4404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11744692769 minus 2?\nAnswer: -11744692771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11033 and 767.\nAnswer: 143429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3523.164 + -3531. Round b to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 - h - 1. Let l be k(3). Solve 3 + 2 = -l*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 3. Let x = 667\/1026 - -17\/1026. Sort 0.2, 1, x, i in increasing order.\nAnswer: i, 0.2, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -3*b**2. Let u(m) = 72*m**2 - 1867*m. What is u(p(h))?\nAnswer: 648*h**4 + 5601*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 - 10*z - 6. Let r be l(-7). Suppose -4 = -3*o - 3*f + 11, -3*o + 3*f - r = 0. Solve 3*y = o, -3*m + 2*y = -5*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -47.6 - -47.2. What is p rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6616 - 3556 = -16*m + 51*m + 50*m for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of -4*x**3\/3 + 3*x**2\/2 - 2*x - 3. Let o(b) = -5*b**2 + 3*b - 2. Let f(g) = -3*o(g) + 4*v(g). Determine f(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.87 times 1.330367?\nAnswer: -1.15741929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n. Let f(c) = 7*c**2 - 7*c. Give f(g(y)).\nAnswer: 7*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 406937276?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -1047?\nAnswer: -2094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nntt when four letters picked without replacement from {t: 5, n: 14}?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 379 - -23?\nAnswer: 39c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h = v + 4*h + 3, -h = -3*v + 2. Let f be v\/(-4) - (-38)\/24*57. Calculate the greatest common factor of 60 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 12. What is the second derivative of n**2 - 61*n - 17*n**f - 15*n**2 wrt n?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1437 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 515\/(-35) - (-2)\/(-7). Let h be (i\/(-7))\/(-3) + 1. Which is smaller: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-4)*(323 - 25). Suppose -10*z = -y - 161. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/3*(3\/(-6))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 261 - 111. Let b = t - 150.0364. Let s = 0.023 + b. Round s to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1021010000 (base 3) to base 4\nAnswer: -12010203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 515111.2um to centimeters.\nAnswer: 51.51112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w**3 + 6*w**2 - 6*w + 6. Suppose 13*p - 52 = 9*p. Let k(d) = -4*d**3 + 13*d**2 - 13*d + 13. Calculate p*m(z) - 6*k(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 637048977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 222 (base 4) to base 13.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((51900\/(-22320))\/173)\/(55\/(-66))\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.105139 millilitres in litres?\nAnswer: 0.009105139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 34 + -42 + 2 + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 - 8*w + 5. Let b = -56 + 62. What is c(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*v**3*z**3 - 21*v**3*z - v**3 - 4*v*z**3 - 15*v*z**2 + 10*v*z wrt z?\nAnswer: -54*v**3*z - 24*v*z - 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3268284388 rounded to 5 dps?\nAnswer: -0.32683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 44 - 44.5. Sort 2, 26, s in descending order.\nAnswer: 26, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**4 - 438*w**3 - 5592*w**2 - 15168*w.\nAnswer: 3*w*(w - 158)*(w + 4)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 - 12*s + 12. Let t be -3*(-5)\/((-15)\/(-9)). Let m be q(t). Let d be 6\/m - 64\/(-110). Put d, -2, 2 in descending order.\nAnswer: 2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-5))\/((-67)\/(-670)). Let w(j) be the third derivative of 1\/2*j**4 + 0*j + 0 - 4*j**2 + q*j**3 + 1\/20*j**5. Solve w(g) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 39 and (-5)\/(5\/(-120)*10).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -3*h + s, 5*h + 12 = 2*s - 3*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2\/8 + 3046947*y\/4 + 3094628673603\/8.\nAnswer: 3*(y + 1015649)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8726 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -358*f**3 - 3*f**2 - 12*f + 500. Let z(t) = -1075*t**3 - 8*t**2 - 32*t + 1501. Let a(o) = 8*w(o) - 3*z(o). Differentiate a(y) with respect to y.\nAnswer: 1083*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {g: 1, f: 1, i: 1, x: 1, y: 1, z: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - u = 5*o + 1019, o = 3*u - 191. Let f be ((-3)\/(-5))\/(o\/35 + 6). Does f = 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (418\/1254)\/((-28)\/21*13\/4)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 112.2898 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (25950\/(-768120))\/((-10)\/(-16))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/4)*h)**30*(h*h**(1\/2))\/h*((h\/(h*h\/h**(-4\/5)))\/h)\/h)\/((h**(-8)\/(h**(1\/2)*h))\/(h\/((h*h*h**(-1\/2)*h*h)\/h))**(-11)) assuming h is positive.\nAnswer: h**(301\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -330200 + -5?\nAnswer: -330205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mzzqzmqz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 + 1599*n - 1598*n - 41 to t*n + o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -527 + 522. Suppose l + 47 = -3*o + 4, 2*l = 4*o - 106. Which is the closest to l?  (a) -1\/3  (b) w  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in thirty-seven halves of a millennium?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88574 is divided by 3927?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4032 (base 7) in base 4?\nAnswer: -111303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -978 + 978 + 4*w**2 - 974*w + 10*w**2 - 7*w**2.\nAnswer: 7*w**2 - 974*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*d**3 + 20*d**3 - 12*d**3 + (-3 + 3 + d)*(2*d**2 - 4*d + 4*d) - 33*d**3 + 2*d**3 - 118*d**3 as k*d**3 + a*d**2 + u + c*d and give k.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 408065 is divided by 373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 0*d + 6*d - 12*d + 3. Let i be h(1). Let u(x) = x + 1. Let k(r) = r**2 - 8*r - 7. Let o(f) = -k(f) - 6*u(f). Calculate o(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t**2 - 3*t + 3. Let m = 85 - 88. Let f(s) = s - 1. Determine m*f(j) - n(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39129 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-5) - ((-66)\/15 - 0). Suppose -w*y + 1647 = -y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.108 - -0.0754.\nAnswer: -0.0326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13209206.\nAnswer: 2, 6604603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10011110111101 (base 2) to base 10.\nAnswer: -10173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 6460*d - 52 = -6462*d, -v = -4*d - 31 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(4\/2 + -4). Suppose -y - v*y + 12 = 0. Calculate the greatest common divisor of 12 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 119284 - 83784. Suppose x = -4*x - z. Round x to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -741*o**4 - 746*o**4 - 740*o**4 + 4 - 4*o**3 + 27*o + 2220*o**4 in the form s*o**4 + y + m*o**2 + j*o + f*o**3 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, p: 17}. Give prob of sequence pttp.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 4*g + 28. Calculate d(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + g = 6*g - 22, 6 = -3*v - 3*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 657141 is divided by 52.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - 2*p - 2. Let u be 0\/(3 + 1\/p). Factor 2\/9*n + u + 2\/9*n**2.\nAnswer: 2*n*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6822\/14 - (-6)\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 156876570?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -14*j**2. Suppose -110*d + 92*d + 90 = 0. Let n(k) be the first derivative of 1\/3*k**3 + 0*k**2 + d + 0*k. Determine y(n(p)).\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23.6 - 170.4. Let r = 3195446.9861 - 3195253. Let l = u + r. Round l to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 415, 5, -2 in descending order.\nAnswer: 415, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fifty-seven fifths of a microgram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -10\/19 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 7*g + 27. Give d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 95 - 100. What is the biggest value in -0.6, -24, -1, r?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + 2 + (-2)\/2. Let c(d) = -6 + 5 + 0 + 0 + 6*d**2. Let r be c(a). Solve -2*s + r = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 730, 2872, 6442, 11440, 17866, 25720?\n\"Answer: 714*m**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, 0.24 in increasing order.\nAnswer: -4, 0, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 2208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/10 + 18\/(-30). Let a(s) = -s + s + s + k. Let v(z) = -2*z**3 - 2 + 3 - z**2 - 1. Calculate 2*a(o) - v(o).\nAnswer: 2*o**3 + o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5135707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) -3\/10  (c) -9\/89  (d) 3\/2  (e) -3  (f) -6  (g) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 31233 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -9*s**2 - 23*s + 17. Let a(p) = 640*p + 1914. Let q be a(-3). Let d(m) = 3*m**2 + 8*m - 6. Give q*b(h) - 17*d(h).\nAnswer: 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -23, 11.9, -7\/3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5187*y**2 + 3057*y - 25.\nAnswer: 10374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76, -198, -390, -646, -960, -1326?\nAnswer: -1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -4*x**5 + 4*x**4 - 4*x**3 - 2. Let m(k) = -5*k**5 + 4*k**4 - 5*k**3 - 3. Let v be 0*1\/(-2) - -2. Let d(z) = v*m(z) - 3*r(z). Factor d(t).\nAnswer: 2*t**3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2*p**3 - 47*p**2 - 65*p + 16. What is g(-22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -6*u**2 + 7*u - 1. Let l be v(4). Let c = -26 - l. Let g = -30 + c. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.12  (b) -0.9  (c) -1276  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24993793 is divided by 385.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*k + 0 + 0 - 4*k - 4*k + 5*k + (3 - 3 - 5*k)*(3 + 3 - 5) + 2*k + k + k + 0*k - 6*k + 4*k + 2*k + 2*k - 5*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 59 = 2*u, -5*u - 4*r = -210 + 74. Let s = 26 - 40. Let m = u + s. Solve 4*v - 31 = -3*n, 4*v + m - 40 = -2*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 288772.\nAnswer: 2, 11, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 5) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -6*x - 119. Let l = x - -224. What is the greatest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -81 + 57. Let b be t\/9*54\/(-24). Suppose b*y = 29 - 5. Solve -v + 5*v - 3*f - 25 = 0, 4 = -2*v - y*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34 - 10473 - 327)*(0 + 2 - 4)*(1 + q - 1).\nAnswer: 21668*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o = 3*o + 30. Let y(k) = 6*k**2 - k**3 + 0*k + 4 + 0*k. What are the prime factors of y(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(330)\/(-1*sqrt(6)))\/((sqrt(176) + sqrt(11) - sqrt(11))*5 + sqrt(11)) + -3)**2.\nAnswer: 8*sqrt(5)\/7 + 15896\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -63*s**2 - 107*s**2 + 48*s - 48*s to i*s**2 + t + w*s and give i.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l - 4 + 2*l + 3)*(406 - 406 - 6*l**2).\nAnswer: 6*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 AM and 7:23 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -225898.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2*s - 2 = -10, -4*h - s = -4. Suppose 3*z = -o + 312, -6*o - 2*z + 1198 = -2*o. Let m be (-6)\/(-33) + 9\/(o\/(-6)). Is h <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/8 - (-4946)\/56. Let y = j - 89. Suppose 0 = -961*i + 941*i + 20. What is the second biggest value in y, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9  (b) 0  (c) -134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2*p = -2, -3*o + 5*p = p + 32. Let y(i) = -6*i**3 - 4*i**2 + 4*i. Let s(g) = 5*g**3 + 3*g**2 - 3*g. Determine o*s(r) - 3*y(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 AM and 10:12 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**2 + 2*h**2 + 2 - 3*h**2 + (-5 - h + 5)*(30*h - 62*h + 48*h).\nAnswer: -18*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -8*a - 11. Let y(h) = -2*h - 3. Suppose 198 = -5623*x + 5645*x. Give x*y(p) - 2*d(p).\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*z + 5*z + z + 2)*(-6*z**2 + 48*z**2 - 6*z**2).\nAnswer: 36*z**3 + 72*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 5*o - 10 = -0*f, -4*o = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 37*r**5 + 9*r - 32 + 13*r**5 - 13*r**5 - 10*r**5 + 35*r**5 wrt r?\nAnswer: 1240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -567 (base 8) to base 12.\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 685 a factor of 222334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -6*b - 10 + 7*b - 2*b. Let x be t(-10). What is the closest to x in -8, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 193704272, 193704269, 193704266, 193704263, 193704260?\n\"Answer: -3*y + 193704275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -311, -610, -901, -1178, -1435, -1666, -1865, -2026?\n\"Answer: u**3 - 2*u**2 - 300*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*d**2 - 233*d + 233*d.\nAnswer: 52*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 590823 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -13*h**3 + 5*h**2 - 5*h - 6. Let v(k) = 40*k**3 - 16*k**2 + 16*k + 18. Let l(m) = 16*u(m) + 5*v(m). Differentiate l(i) with respect to i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 41*t + 660. Let j be p(-16). Let n(f) be the second derivative of 0 - 5\/4*f**j - 1\/4*f**5 - 5\/2*f**3 + 29*f - 5\/2*f**2. Factor n(l).\nAnswer: -5*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 + 7*o + 26. Let j be i(-6). Suppose 19*q = j*q - 8. Solve -5*a = -4*g - 2*a + q, -3*g + a = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-66)\/4*114\/(-2565)*15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z - 2. Let o be t(-1). Suppose m - 6 = 0, -280*l - 26 = -279*l - 5*m. Sort 2, l, o in increasing order.\nAnswer: o, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*p + k, 2*k + 3*k + 10 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -139, -1\/2, 1.5, 8\/3, -3.3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of 5*l**4\/8 + 130*l**3\/3 + 3105*l**2\/4 - 3645*l + 3425. Factor b(d).\nAnswer: 5*(d - 2)*(d + 27)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -7*y - 5. Let u(o) = 3*o + 2. Let w(t) = -13*u(t) - 6*z(t). What is the derivative of w(p) wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.090422 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1542 (base 13) in base 12?\nAnswer: -1960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 29 + 42 - 99 + f + 30. Let j = -7 + 5. Let l be k(j). Solve -5*x + x - 16 = l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 AM and 3:25 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -55+-8\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1561909723 to the power of 1\/3, to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 5 + (sqrt(576)*2)\/(sqrt(3) + (sqrt(12) - sqrt(24)\/sqrt(2))) + -1 + 5.\nAnswer: 13 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1130 and 596.\nAnswer: 336740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -93.11 minus -0.3?\nAnswer: -92.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(98)*-2*-4*3*5 + -4)*4.\nAnswer: -16 + 3360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) 1  (b) -30  (c) -2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 2:57 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(68) - sqrt(68)*-2)*-3 - sqrt(68) - (4*sqrt(68)*-1 - sqrt(68)))\/(sqrt(40)\/(-4*sqrt(10)) - 3*sqrt(144)))**2.\nAnswer: 6800\/5329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 5:57 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 407 and 24445345?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12, 8, -34, -144, -352, -688, -1182, -1864?\nAnswer: -2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 99256 at most 99252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 49518 and 1248954.\nAnswer: 11240586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 6*l + 11. Calculate w(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -51842*z - 484141*z**2 - 7562*z**4 - 1372 + 361\/2*z**5 + 210673\/2*z**3.\nAnswer: (z - 14)**3*(19*z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7.6 - 8. Let l = 0.26 + 0.04. Let z = 0.1 - l. What is the nearest to z in 0.1, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 3. Let a(i) = -2*i + 24. What are the prime factors of a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 29*q - 2312. Suppose -4*h + 5*k + q = 7*k, -3*k = 3*h - 57. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 55.1 - 55. Let p = -9142 + 9151. Let g be -1 + -3 - (2 + -3). Which is the closest to n?  (a) p  (b) g  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-5 + -4*(0 + 4 + (3 + sqrt(1088) + 1)*5))**2.\nAnswer: 32320*sqrt(17) + 445403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -31.723 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + 621\/(-648))*4. Factor 16\/3*x + 64\/3 - 7\/3*x**2 + j*x**3.\nAnswer: (x - 8)**2*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/34 + 24\/204. Suppose i = -2*m + 583 + 123. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 345510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.2808197812 to 5 decimal places.\nAnswer: 1.28082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -4*s - 4 - 3 - 15*s**2 - 3*s. Let a(z) = -10*z**2 - 5*z - 5. Let f be 7 + 7 + (-726)\/102 + 14\/119. Give f*a(m) - 5*v(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/9 + 119\/(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0973114 meters to nanometers.\nAnswer: 97311400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 34\/128583 and -55\/42?\nAnswer: 257166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*a*j**2*m + 7*a*j**2*r - 3*a*j**2 + a*j*r - 150*a*m + 23*a*r - a - j + 7*m*r wrt m.\nAnswer: 2*a*j**2 - 150*a + 7*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eleven tenths of a centimeter?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.32  (b) 0.72  (c) -4  (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 85 + -81. Let a(g) = -12 + b - 3*g + 8. Let f(y) = 2*y**2. Determine f(a(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 649 or -504?\nAnswer: -504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f + 2*f + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of 0*h**2 + 0*h**3 + 5\/21*h**7 - 3*h + 0*h**6 + 0 + 0*h**5 + 1\/12*h**4. What is the third derivative of l(y) wrt y?\nAnswer: 600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69833 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w**4\/2 + 417*w**3\/2 + 34957*w**2\/2 + 68667*w\/2 + 17063 = 0. Calculate w.\nAnswer: -302, -113, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/4 + 25\/4*l**2 - 5*l.\nAnswer: 5*(l - 1)*(5*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t + 2. Let u(x) = 31*x + 71. Let g be u(-2). Let l(h) = 4*h + 7. Determine g*j(s) - 2*l(s).\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 3*s. Suppose s*q = -q. Let v be q*(-2)\/(-6) - 2. Put 0, v, -5 in decreasing order.\nAnswer: 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239236 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -9*q**3 + 8*q**2 - 7*q - 5. Let n(a) be the third derivative of a**6\/15 - 7*a**5\/60 + a**4\/4 + 2*a**3\/3 - 10*a**2. Determine -6*j(t) - 7*n(t).\nAnswer: -2*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i**(2\/13)*i)\/i*i)**(-38)\/(i*i\/i**2*i*i**(2\/7)) assuming i is positive.\nAnswer: i**(-11023\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 7.533373 years?\nAnswer: 0.7533373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**3 + 28*h**2 + 14*h + 4. Let u be (4 + -3)\/((-210)\/26 + 16 + -8). Calculate n(u).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 + 2*s + 1. Let x be v(-1). Suppose 5*t + 2 - 12 = x. Solve -t*o - 3*a + 17 = 0, -4*o + 32 = o + 4*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.017 and 3.0938.\nAnswer: -0.0525946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 151885323*i**2 - 10205495*i?\nAnswer: 303770646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 745*c**3 - 784*c**3 + 2.\nAnswer: -39*c**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 193388  (b) 1\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3994375 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2 - 336*x.\nAnswer: 3*x*(x - 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 280213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ipkiiiepieiiciiiiikp. What is prob of picking 1 i and 1 c?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**4 - 16166*o**3 + 44004996*o**2 - 41522342152*o + 3221286530320.\nAnswer: 2*(o - 2666)**3*(o - 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/(-684))\/((-2)\/9).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 8*n. Let d = -10 + 12. Suppose s + d*h + 7 = -2, 0 = 2*h + 8. What is w(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -662*-2.63.\nAnswer: 1741.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -70b - 22?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/12)\/(1\/2). Let m(w) = 2*w**3 + 18*w**2 + 20*w + 32. Let b be m(-8). Determine v, given that a*v**2 - 1\/3 + b*v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 4, -7, -1, 1102, -10 in ascending order.\nAnswer: -10, -7, -1, 1, 3, 4, 1102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 522, 2087, 4696, 8349?\n\"Answer: 522*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3\/7  (b) -18.9  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18381806 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/(j\/(j\/(j\/(j**(1\/3)*j))*j)))\/(j\/(j*j*j*j**(2\/7)*j)))\/(j\/j**5*j*j**3*j*j))**(-27) assuming j is positive.\nAnswer: j**(-684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -g**5\/2 + 165*g**4 + 1365*g**3\/2 - 4765*g**2 - 25962*g - 30060 = 0.\nAnswer: -5, -3, -2, 6, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**3 + 205*v**2 - 11305*v + 108375.\nAnswer: 5*(v - 17)**2*(v + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3*q + 91 = -8, f - 4*q - 48 = 0. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20622 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 - ((-153)\/(-33) - 4). Let o(a) be the first derivative of -45\/22*a**4 - 17\/11*a**2 - c*a - 8 - 32\/11*a**3. Determine v so that o(v) = 0.\nAnswer: -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 15688.6983s?\nAnswer: 0.18158215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/8 - (-121)\/264.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 2*m**5\/5 - 15*m**4\/8 - 40*m**3\/3 - 75*m**2\/4 - 7*m + 485. Solve x(k) = 0.\nAnswer: -2, -1, -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -5*w**2 + 2290*w - 47960 = 0.\nAnswer: 22, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*f - 23 = 0, -4*y - 2*f + 3 = -3*y. Suppose 0 = -5*u + 19 + 21. Let s = u - y. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 8. Suppose -3*w + 24 = -s*m - 0*m, -m + 2*w = 6. Let l = m + 12. Solve -l*r + 12 = -2*x, x + 6 = 4*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 289631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -277*d**2 + 66*d**2 + 784*d**2 - 2*d to the form a*d + i*d**2 + u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*w - 31 + 31)*(2 + 2*w**2 + 14*w - 4 - 12*w) in the form i*w**2 + y + p*w**3 + m*w and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - 1. Suppose -a - f = a. List the prime factors of (4\/a)\/((-2)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11)*-3 + 2 + sqrt(11)*3 + 5)*3 + ((sqrt(66) + (sqrt(66) - (-4*sqrt(66) + sqrt(66) - sqrt(66)))*4 - sqrt(66))\/(1*sqrt(6)*-5))**2.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 421093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 337*w**2 + 8?\nAnswer: 674*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 319 - 319.01. Put 0.2, 0, -0.4, r in descending order.\nAnswer: 0.2, 0, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 21*n - 19*n + 2*n**4 - 14*n**3 - 4*n + n**2 to t*n**4 + s*n**2 + d + r*n**3 + m*n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t**8\/t)*t\/((t**(8\/7)\/t)\/t*t)*t*t*(t**(-1)\/t)**47)\/((t*t*t**(2\/5)*t*t*t)**(-7\/4)*t**(2\/5)*t**(1\/5)) assuming t is positive.\nAnswer: t**(-12221\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 216 + 204 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 l when three letters picked without replacement from afurraaalrfrfauffra.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {l: 5, v: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 5*c = 76, -5*c = -6*o + 8*o - 68. Factor 1989*q + 49\/4*q**o + 13213\/4*q**2 - 819\/2*q**3 + 289.\nAnswer: (q - 17)**2*(7*q + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -2*b + 4*h - 5, -3*b = h - 3. Suppose 3*q + 4 = 4*z, 0 = z - b*z + 3*q + 14. Let w = 11 + z. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17.495 + -0.495. What is the smallest value in 1, 0, 1\/3, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/9)\/(525\/(-2835))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9385763 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4*d**3 - 2*d**2 + 2*d - 1. Let t be r(1). Suppose w + 4*l = 0, 0*w = 4*w + t*l. Suppose w = -z + 165 - 34. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 238065373 and 63.\nAnswer: 2142588357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161*y = 246*q - 249*q + 60, 5*y = -q + 20 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o**9*o)*o)\/o*o\/(o\/(o**(-4\/5)*o*o)))\/((o*o**(-7))\/(o\/(o*o\/o**(-2\/17)*o))) assuming o is positive.\nAnswer: o**(-418\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 246 and 15?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 99*p + 3. Let r(v) = 1782*v + 55. What is -55*j(x) + 3*r(x)?\nAnswer: -99*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6\/22)\/1)\/((-6)\/(-4))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-5*sqrt(5)*-2 - sqrt(5)).\nAnswer: -54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -16, -3, -9, 2, -2\/17, -2\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 88, 2 in increasing order.\nAnswer: -3, 0, 2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54622, 436872, 1474408, 3494872, 6825906?\nAnswer: 11795152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/18)\/((-38)\/1140)*(-18)\/195.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -46, -45, 8, 107, 246?\n\"Answer: -n**3 + 32*n**2 - 88*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 736 take away -164.07755?\nAnswer: 900.07755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 11*f - 64077 = -3*b, -5*f = -2*b + 42712. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -148  (b) 0.04  (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 754119 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: Let x(s) = -s**3 + 11*s**2 - 13*s + 2. Let g be x(9). Suppose -o - 26 = -t, -g = 5*o - t + 71. Let d = -15 - o. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 10*m + 3. Let a(t) = 19*t + 8. Let d(p) = -2*a(p) + 5*r(p). Let w(v) = 3*v. Let y(k) = d(k) - 2*w(k). Determine y(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**2 - 4 - 40*a**3 + 36*a**3 + 4 - 10232*a.\nAnswer: -4*a**3 + a**2 - 10232*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/72*-8)\/((-3)\/(-27)). Let l(y) be the first derivative of 2 + 0*y - 2\/9*y**j - 2\/27*y**3 + 1\/18*y**4. Factor l(p).\nAnswer: 2*p*(p - 2)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(396) + -2 - 5*(sqrt(11) + 0).\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 60395*u**2 + 241563*u - 68 = 0. What is u?\nAnswer: -4, 17\/60395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 0*a = -2. Suppose -a*l + l = -41. Suppose 3*n + 2 = l. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*f - 234*f + 748 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00042473 rounded to 5 dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5483290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1054 + 1056. Which is the nearest to 0.01?  (a) l  (b) 4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of 5*q**4\/24 + q**3 - 18*q**2. Let r be v(0). Calculate the highest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3236)\/(-90) + (-75 - 10) + 49?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 220 = -5*o, -140 = -q - 2*q + 5*o. Suppose s + 4*f - q = 6*s, -25 = 5*s - f. Let n = 7\/2 + s. Calculate the common denominator of n and 5\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/2 + (-45)\/(-6). Let i = 1 + x. Solve -p = 3*p - i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -59 - -58. Let i = 1 + 0. Put k, i, 0 in descending order.\nAnswer: i, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 3517164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**3 + 107*v**2 + 646*v - 47. Determine q(-46).\nAnswer: 1977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16240\/(-245))\/29*336\/(-8)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 - 6*i - 3. Let t(q) = -2*q**2 - 6*q - 3. Let b(d) = 3*o(d) - 2*t(d). Suppose 4*z - z = p + 12, 0 = 3*p - 9. Calculate b(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + q = -2, -l + 9*q - 12*q - 13 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -k**3 - 112*k**4 + 10*k + 7*k + 2*k**3 + 110*k**4 - 18*k - 3 - 38*k**2 as p*k**2 + u + h*k**4 + z*k**3 + l*k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001210726355 to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 + 18*m + 77. Let q be l(-11). Suppose -60 = -j - j + y, q = 3*j + 3*y - 72. What is the remainder when 194 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1518.36633 + 1541.468. Let k = -23.1 + p. What is k rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-7 + (-1 - (-10 + 5))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (-28 + 18) - (-2 + 13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/6 and 4\/(-6)*(-9 - 0) + 4923405\/(-813630).\nAnswer: 4398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/(20736\/(-405)))\/(105\/(-36)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 142*v**2. Let k(j) = -62*j**2. Calculate k(t(q)).\nAnswer: -1250168*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*m*q**4 - 2*m*q + 2*m - 750*q - 941 with respect to q.\nAnswer: 36*m*q**3 - 2*m - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76870.18l to millilitres.\nAnswer: 76870180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 3*k**2. Let d(s) = 1804*s**2. Give z(d(u)).\nAnswer: 9763248*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 63 - 62.888. Let p = -0.012 + n. Which is smaller: p or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 208824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15470 and 283010?\nAnswer: 4811170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19783 - 19783.47. What is the second biggest value in 1, d, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 147.81 and 0.3.\nAnswer: 44.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y - 654 - 1101 = 0. Let f = y - -211. Let d(q) = q - 8. Give d(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*v = 5*m + 5, v = 0. Let q(f) = -f**2 + 6*f + 2. Let y be q(7). Let r = 3 + y. Is m bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2 = 2*x - 8, 6 = 2*x + f. What is the least common multiple of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-6))\/(2\/78 + 0). Suppose -r + 6 = 4*w. Sort 1, 5, w, 4 in descending order.\nAnswer: 5, 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -1.77, 596, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.8 + -0.062584?\nAnswer: 47.737416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 333200*k**3 + 23989*k + 16?\nAnswer: 1999200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 5, -2*w + 21 + 15 = i. Suppose -4 + i = 2*q - 4*s, 0 = -q + s + 7. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -551.0494 and 5.\nAnswer: -546.0494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 8 = -z, 0*z - 3*z + 5*o = 10. Suppose 5*d - x + 0*x - 21 = z, -18 = -5*d - 2*x. Solve 4*j = 4 + d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 24*s + 130. Let u be x(-6). Calculate the greatest common divisor of u and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.575 - 0.375. Let g = 11 - 9. Let n be (0 - -1)\/(5\/g). Put -1\/3, n, b in increasing order.\nAnswer: -1\/3, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 + 14*g**2 - 12*g - 13. Let c be y(13). Let t(r) = r**2 - 3. Determine t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10340*r**3 - 25660.\nAnswer: 31020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 9:34 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.05149 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -173 and 5625.331808.\nAnswer: 5452.331808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6626, -6898, -7356, -7994, -8806, -9786?\nAnswer: -10928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7372 + 7376. Which is the biggest value?  (a) x  (b) 3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1173*v - 13*v - 81696 = 550*v - 1166*v for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -25, 11\/2, 2\/3, 6\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 29\/2 of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 384*i**3 + 6826490*i**2 - 6826490*i**2.\nAnswer: 384*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {c: 3, p: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (253617\/56)\/13 - (-6)\/(-16). Let x = 2787\/8 - n. Sort 0.4, -11, -5, x.\nAnswer: -11, -5, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -411*t - 451*t = -5010 - 1886 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -39, -1140 in descending order.\nAnswer: 5, -39, -1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (30 - 29)*(1 - 0). Do g and -186 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -477 (base 8) in base 9?\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (132\/54)\/11 + 4\/((-180)\/(-17)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -5104, -10206, -15302, -20392, -25476, -30554?\n\"Answer: 3*y**2 - 5111*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.818 and -385.\nAnswer: 699.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65)\/(-52)*2*(-1)\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3 + 2517*n**2 - 32564*n + 30048.\nAnswer: -(n - 2504)*(n - 12)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1724, -3, -9, -23, 2 in decreasing order.\nAnswer: 2, -3, -9, -23, -1724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 150129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 7*15\/315*44*(-3)\/(-12)*-3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1054*q + 1090*q - 2270*q + 5040 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.06 + 0.06. Suppose -5*i - 12 = -a, -4*a = -2*i - 9 - 3. Let l = 297.54 + -297.34. Sort l, -2\/9, a, c.\nAnswer: c, -2\/9, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -3787?\nAnswer: 4\/3787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-448)\/182 - (3\/(7\/(168\/18)) + -7).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1 - -113) + 6\/(-1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -52.17 - -52.37. What is the nearest to -42 in 4, c, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136475 = 90*f - 115*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 2*m + 5191, -2937 - 521 = -2*q + 2*m. Suppose 0 = 8*n - 6141 + q. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52 + -54 + -1 + 1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3009801 divided by -26.\nAnswer: -3009801\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/72*(-32 - -2). What is the fourth smallest value in -3, 2, -1, 258\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10624.8 - 10625.8. Let s = -3 - -2.6. Which is the closest to -1?  (a) s  (b) 0.03  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -44, -172, -428, -854, -1492, -2384?\nAnswer: -3572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 1576585.\nAnswer: -8\/1576585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjvjjjjjjzjjzjjjj. Give prob of picking 1 j and 1 v.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -y - 2*d + 19, -3*d - 4 = 4*y. Solve 5*z - y*a + 13 = 0, -2*z - 3*a - 9 = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 - 9*d + 3. Let m be x(-4). Suppose m = -3*w - 5*i, 12 = -2*w - 4*i - 6. Let n be ((1 + -1)*w)\/(-1). Solve n = -l + 6 - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(112))*3 + -6*(6*sqrt(112))**2 - ((sqrt(112) - -2*(-1*sqrt(112))**2) + (5*sqrt(112) + -5)**2).\nAnswer: -27250 + 208*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -55 (base 14) to base 12.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 1 = -l. Let u(x) = 26*x**l - 6*x + 5*x - 3 + 3*x + 2. What is the tens digit of u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -87 (base 9) to base 12\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1176 + 244*n + 1171 - 2*n**2 - 9*n**2.\nAnswer: -11*n**2 + 244*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.6 - -3. Let g = -584 - -580. Which is the fourth biggest value?  (a) 1  (b) -1\/3  (c) f  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 25 + -157 + 174?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 23. Solve -4*d - 4*b - z = b, 7 = 2*d - b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*i**2 + 6*i - 6*i)*(-4 + 4 - 5*i**2) to m*i**3 + z*i**4 + p + g*i + o*i**2 and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p**2\/9 - 74*p\/3 - 76 = 0 for p.\nAnswer: -3, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8377 + -8464. Which is greater: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + p**2 - p. Let x = 8 - 9. Let v be ((0 - 3) + 9)*x. Let s = v - -2. Let d(z) = -2*z**3 + 4*z**2 - 5*z. Give s*o(l) + d(l).\nAnswer: 2*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -t + 2*c, -3*c - 2*c - 41 = -4*t. Let m(y) = 9*y - 167. Let w be m(20). Suppose w*k - 488 = 227. Calculate the remainder when k is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {w: 3, t: 9, n: 1, i: 6}.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -1. Which is smaller: z or -3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2744 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 3*y - 11, -3*y + 5 = -4*x + 6*x. Suppose 2*t - 372 = -y*l - 2*t, -4*t - 12 = 0. What is l rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 58*i**3 - i + 1. What is the remainder when k(1) is divided by 20\/90 - (1780\/75)\/(72\/(-60))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 311312519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -174e3?\nAnswer: 174de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, -4, -3, 18 in increasing order.\nAnswer: -4, -3, -1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 139383250 by 10.\nAnswer: 13938325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 173, 1447, 4895, 11603, 22657, 39143?\nAnswer: 62147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 300675589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 30320?\nAnswer: -30313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5400525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i**2\/2 + 4083497*i\/4 + 612525\/2 = 0. Calculate i.\nAnswer: -3\/10, 408350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 3:02 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3219, -12710, -28535, -50694, -79187?\n\"Answer: -3167*g**2 + 10*g - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3623009, -7246012, -10869015, -14492018, -18115021?\n\"Answer: -3623003*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-3))\/((-3)\/(-18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-6 - (-5 - 3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16118533?\nAnswer: 17, 948149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -33 divided by -1\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15\/1334 - 35839\/102718. Find the common denominator of -48\/35 and v.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 70 - 59. Solve u*s = 7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5.6 + 6. Let d = -0.03 - 0.07. Let x = d + 3.1. What is the nearest to -3 in 2, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {h: 2, k: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 211 - 211.19. What is a rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 1)*37\/703?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3479453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 + 9*o**2 + 8*o + 9. What is the tens digit of v(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 3*q = -4*q - 822, -2*y + 5*q = -315. Let x = -37 - -52. What is the highest common divisor of y and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -2\/127, -0.23, 29?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 3*i = 33. Let v = i + -12. Which is the closest to v?  (a) 0.2  (b) -1  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10944, 11313, 11682, 12051, 12420?\n\"Answer: 369*q + 10575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -7*u**2 - 3*u. Let m(c) = -2*c**2 - 10*c + 9*c + c**2 + 0*c**2. Let s(p) = -3*m(p) + t(p). Let h(i) = -12*i**2. What is h(s(d))?\nAnswer: -192*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {z: 5, g: 11, f: 1}?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 + 22*q**2 - 21*q. Calculate p(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 - 57 = -12*n. Solve n*b = 12*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2303984560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -58439.153 - -58442.0330209. Let d = c + -2.88. Round d to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6594*v = -6596*v + 36002. What are the prime factors of v?\nAnswer: 47, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -4*w. Suppose -2 - 8 = -2*l. Let i = l - 5. Let s(x) = -x + 0 + i + 0. Calculate r(s(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -152 take away 1.5?\nAnswer: -153.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*(j\/((j\/(j**(1\/2)\/j))\/j))\/j)**(-1\/6))**4\/(j**(-1\/5)*j**(2\/3))**(-1\/4) assuming j is positive.\nAnswer: j**(-13\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*j - 8*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 3 = 13. Suppose g = -3 + x. Find the third derivative of 7*u**3 - 2*u**3 + 8*u**g - 10*u**2 wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 7) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2\/19, 199, -0.5, -1, 2\/17, 3?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 51.0210178 + -6.5750248. Let l = m - -0.552607. Let o = -45 + l. What is o rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 8*y = -4*k - 46, -2*y = 4*k + 4. Suppose 4*u = -0*w + 2*w + 28, 41 = 5*u - w. What is the remainder when u is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 8, c: 4, t: 5}. Give prob of sequence tczt.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rree when four letters picked without replacement from eeronr?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(208)*3 + 0.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.33503131 rounded to 2 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4438453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 196\/(-168) + 273614\/12 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 2:43 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 110359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -b**4 - 52140*b**3 + 70*b**2 + 16730426 wrt b.\nAnswer: -4*b**3 - 156420*b**2 + 140*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/19742425 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -61956220 to the nearest 1000000.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59505430 divided by -11901086.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20462155.\nAnswer: 5, 7, 47, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7*(-20)\/(3 + -8). Suppose 40 = -k*v + 33*v. Suppose 2*s - 5*o = 11, v*s = 3*s - 4*o + 44. Solve -q - 6 + s = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64\/16*(-324)\/(-513)*(-2)\/16\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -214, -655, -1306, -2149, -3166, -4339, -5650, -7081?\nAnswer: -8614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -939.4\nAnswer: -281.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 150964, 301960, 452964, 603976, 754996?\nAnswer: 906024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -0.5, -3, 21, 0, 0.3, -22 in decreasing order.\nAnswer: 21, 0.3, 0, -0.5, -3, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/121 and -62\/74290887.\nAnswer: 817199757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (185 - 221) + 4 + 5 + 8 - -89?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 429574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1)\/(c*c*(c\/(c*c**(-1\/2)\/c))\/c))\/(c*c\/(c**(-1)\/c))**(10\/7))**44 assuming c is positive.\nAnswer: c**(-2838\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (666 - 669) + (4 - 5) + (-1 - 0 - -57).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 856046641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 130.60712 rounded to 1 decimal place?\nAnswer: 130.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 9*p. Let h(i) = -i**3 + 9*i**2 - 21*i + 8. Let l be h(6). What is v(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-1\/5))\/(s\/(s\/s**16*s)*s)*(s*(s*s**(-2)*s)\/s)**(-1\/46) assuming s is positive.\nAnswer: s**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + 1\/(3 - 4). Suppose -31 = -2*s + 5*u, o - 30 = -5*s + 3*u. Sort 2, -1, s in ascending order.\nAnswer: -1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 2:49 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/3179  (b) 2  (c) -4  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -1. Let m(a) = -14*a**2 + a + 48. Let g(j) = -m(j) - 2*q(j). What is the first derivative of g(y) wrt y?\nAnswer: 28*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*g - 40 = 84*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 531632663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -3568.074 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - f + 4. Suppose 0 = -0*j - 5*j. Let s be l(j). Suppose -s*u + u = 0. Let k(m) = m**3 - m + 4. What is k(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u**3 - 380*u**2 - 4*u + 380 = 0 for u.\nAnswer: -1, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -45 + 6453?\nAnswer: 6406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0\/3)\/(2 + 1). Let v = -3.89 + -0.11. Put 0.3, v, r in decreasing order.\nAnswer: 0.3, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*v + 4*v - v)*(-5 + 1 + 2) + 4*v - 3*v - 3*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7534 (base 11) to base 7.\nAnswer: -41015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 PM and 4:16 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 4*m + 19342 = 0, 8*m - 6 = 10*m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3181418 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/2*0*1. Let z be 10\/3 - (-3)\/(-1). Which is greater: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -181, -170, -151, -124?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 553.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**2 + 66*x - 186. Give t(63).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -519*l**2 - 381*l**2 + 864*l**3 - 912*l**2 + 0*l**5 - 2*l**5 + 143*l**2 wrt l?\nAnswer: -120*l**2 + 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -63235.\nAnswer: -1\/63235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 0 = -3. Let a be (-24)\/(-1) + 2 + q. Let n = 9 - 4. Solve a = -2*f + 3*k - 2, 4*f + 3*k = -n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 277*u + 150*u + 52*u - 116946 = -322*u for u.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4 - 3*t + 0*t**4 + 0*t**4 + 2 + t**4 + t**2 + 3*t**3.\nAnswer: (t - 1)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5973648.\nAnswer: 2, 3, 97, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, a: 3, f: 2}. What is prob of picking 1 a and 2 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 0*z + 8*z**2 + 1\/12*z**4 + 4\/3*z**3 + 0. Suppose 0 = 2*l + 15 + 1. What is o(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 - 3*w + 6. What is the smallest common multiple of t(-3) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j - 6. Let t(v) be the second derivative of -v**5\/20 - 7*v**3\/6 + 5*v**2\/2 + 5*v. Let x be t(2). Let b(m) = 9*m + 17. Give x*l(s) - 6*b(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -917560 <= -12845841\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 94 - 96. Sort 1\/3, -25, g, 1.\nAnswer: -25, g, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**2. Let r(o) = -179*o - 1. Determine x(r(p)).\nAnswer: 64082*p**2 + 716*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/16944160 and 43\/1694416.\nAnswer: 16944160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -8*(364 + -362)\/((-4)\/10)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*q**2 + q**2 - 12*q**2 + (-3 + q + 3)*(-12*q + 6*q - 7*q) as z*q + m*q**2 + h and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**5 + 2*y**5 + 2*y**5 + (-14 - 30*y**2 + 14)*(y**3 - 4*y**3 + 4*y**3).\nAnswer: -27*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 - 7*a**2 + 7*a - 3. Let i be l(-8). Let q be (-7)\/((-35)\/10)*2*(-45)\/(-36). Solve 0 = -3*j + n + 4 + 2, -10 = i*j + q*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5393 = -26*t + 7711. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4792 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(6 - (-5 - -10)). Let w(u) = 20*u + 26. Let o be w(g). What is the greatest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*i*j*l**3 - 2*i*l - 41*j*l**3 + 4*j*l + 6*l wrt l?\nAnswer: -24*i*j*l - 246*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f**2 + 23*f - 19. Calculate o(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 + 7*l**2 - 6*l**2)*(-3 - 1 + 0 + (-2 + 2 - 1)*(0 + 0 - 2)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(((-1)\/(-3) + 1)\/((-5588)\/381)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22)\/sqrt(50) - (sqrt(132)\/(sqrt(48)\/sqrt(4)))**2) + (-1*sqrt(99) + -1 + sqrt(275))*1.\nAnswer: -12 + 11*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 114400132 by -57200066.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45346886 is divided by 4051?\nAnswer: 4043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 1\/3  (c) 0.405  (d) 3  (e) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/4, 0.2, 77009?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/38381360 and 23\/122820352.\nAnswer: 614101760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1542*h = 859*h + 817*h + 1072 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 960197367 is divided by 13444?\nAnswer: 13443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - z = -3, 6*s - 21*s - 254*z = -129*z - 127*z - 33 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + m - 5, -m + 6 = -4*a + 19. Suppose a*w = 5*z + 20, 2*w + 8 = 3*w - 3*z. Suppose -w*o + 2*o - 475 = -4*g, -4*o + 133 = g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 205786 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2650 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m + 2. Let c = -15 - -9. Suppose -4*y - 2*i + 236 = 0, -y + 5*i - 2*i = -52. Let w(x) = -63 - y - x + 120. Calculate c*w(n) - 2*s(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1021*j = 985*j - 3611*j - 5788 - 99975 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/589 - -2366\/2945. Let i = -0.1 - 0.1. Let t = 43.2 - 43. What is the second smallest value in u, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 705039046 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -278*w - 2432 + 196 = -106*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.058 - 0.682. Let z = -0.7400033 - f. Round z to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (60\/(-33))\/((-15)\/(1815\/(-22))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 - 12*l - 3. Let v be a(-11). Find the second derivative of -15*m + 20*m - 11*m**3 + v*m - 24*m**3 wrt m.\nAnswer: -210*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1168)\/84 - -14)\/(2\/(-9))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*x - 242 = 15*x. Suppose x*v - 104 = 20*v. Let i be 6\/8 + 294\/24. Calculate the highest common factor of i and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1055263 and 6402?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1500403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1822*c**2 + 1828*c**2 + 0 + 0.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 73145092 and 12.\nAnswer: 219435276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -10*h**3 - 29*h**2 + 14*h - 18. What is k(4)?\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-333)\/(-9))\/(42\/(-98)*7*7\/(-21)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 124398009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 739*g + 1398*g = -75*g - 183*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2. Let c(x) = -2*x**2 - x - 22800144. Calculate c(d(b)).\nAnswer: -2*b**4 - b**2 - 22800144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -108913 divided by -1?\nAnswer: 108913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = -8*x + 20*x. Suppose 64 = -x*v + 10*v. What is the highest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -98*x**4\/17 + 42*x**3\/17 + 48*x**2\/17 + 8*x\/17.\nAnswer: -2*x*(x - 1)*(7*x + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*y - 2*a - 481 + 495, 2*y = -a - 0*a + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 = -2\/273739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -2664.3119 to the nearest integer.\nAnswer: -2664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 4. Let y = 8 - 3. Factor -4*g**h + 0*g**3 + y*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 2*l + 6*l = 4*w + 5*l + 22, 0 = 11*l + 11 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 7*q**3 + 13*q**2 + 11*q - 14. Let h(u) = -3*u**3 - 7*u**2 - 6*u + 7. Let d(n) = -5*h(n) - 2*z(n). Give d(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -19396*l**3 + 2*l**2 - 10*l - 5. Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 - 21*s**2 - 5*s - 2. Let d(j) = j**2 + 13*j + 18. Let v be d(-8). What is the units digit of w(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.3  (b) 3\/2  (c) -2\/7  (d) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/39217 in 0.3, -115\/3, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -42.564 and -4.7846275.\nAnswer: -47.3486275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 121180, 484822, 1090892, 1939390, 3030316, 4363670?\n\"Answer: 121214*s**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/2*4\/80*-2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8906 - -9024. Solve -18 = s*l - 124*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in fifty-four fifths of a second?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wrgggpwpppg. Give prob of sequence pgpg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.63 times 569\nAnswer: -358.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -383 = -4*o + h + 2*h, 2*h = -2. Let n = 476 - o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (42*69\/(-104328))\/(2*6\/(-32))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -244 + 121 + 121 + 2*y**2 + 31*y + (0 + 0 + 1)*(3*y - 3*y + y**2).\nAnswer: 3*y**2 + 31*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -4*k + 3. Let m be 12\/2 - 3 - 4. Let u be m*1\/(3\/(-18)). Let i(v) be the third derivative of -v**4\/24 + v**3\/6 - v**2. Give u*i(l) - 2*w(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6223231 plus 2?\nAnswer: -6223229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -11*g - 152. Let f be o(-14). Let t be ((-246)\/(-205))\/(f\/5). Sort -2, t, 2 in decreasing order.\nAnswer: t, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10a (base 15) to base 16\nAnswer: eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 61 (base 12) to base 14\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 840907835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-23\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 34  (b) -2  (c) 0.1  (d) 20  (e) -0.5  (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 17 - 3. Suppose 0 = -g*i + 20. Let c = 14 - i. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001 + 1101001010010110101111?\nAnswer: 1101001010010110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*g + 5*i - 10 = 81*g, 504 = 12*g + 173*i - 25*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.1 take away -11720731?\nAnswer: 11720737.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v - v + 2*v)*((3 + 0 - 5)*(v - 4 + 4) + 3*v - 5*v - 6*v + (-2 + 0 - 1)*(-3*v + 2*v + 2*v) - 3*v + 3*v + v).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (3336\/13344)\/((-6)\/(-15)*-1)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2704, -5384, -8042, -10678?\nAnswer: -13292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of -g**8\/336 + g**7\/70 - g**6\/60 - g**5\/30 + g**4\/8 - g**3\/6 + g**2 + 1. Factor l(y).\nAnswer: -(y - 1)**4*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 791 a factor of 639327191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 0*t - 3*w - 3 = 0, 15 = 5*t + 2*w. Let m be (-90)\/(-75)*20\/6. Let s = -570 - -569. Put t, m, 1, s in decreasing order.\nAnswer: m, t, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - n + 19, -5*w - n = -25. Let o(q) = -q**2 + 6*q - 5. Let z be o(w). Let a be 2\/5 + 27\/z. Let i(j) = j**3 + 6*j**2 + 3*j - 2. Calculate i(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -13*i - 10. Let m(u) = 26*u + 19. Let b(v) = 5*g(v) + 3*m(v). Let a be b(-1). Does -2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, 43, 0, -4 in descending order.\nAnswer: 43, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011 (base 2) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a + 2*a - 7*a + (-2 + 0 + 0)*(-2 + 2 + 2*a) + 0*a + a - 4*a)*(8*a**3 - a**3 - 4*a**3).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 28b1 (base 13) to base 11\nAnswer: 4475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-16))\/(k*k*k*k*k*k*k**42) assuming k is positive.\nAnswer: k**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1850 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 22 = 4*l, 12*b + 3*l = 7*b + 4*b - 12*b + 167 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, -1, 7612\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of -2*r**5 + 15*r**4\/4 - 5*r**3\/3 + 19. Factor w(f).\nAnswer: -5*f**2*(f - 1)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 17 = -4*c, -92*q = -90*q + 4*c - 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -8*k. Let g(v) = 7*v. Suppose -3*r - 9 = t + 4*t, 2*r = -3*t - 5. Suppose r*d - 6 = 6. Calculate d*g(x) + 5*i(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97178 is divided by 570.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.03 - 0.27. Round u to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-120)\/210)\/(((-85)\/68)\/(14\/8)). What is the smallest value in 1\/7, 2\/11, 0.1, d, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**2 - 12*w + 3. Let k be d(-11). Find the second derivative of -988*t**2 - 5*t**5 + 988*t**2 - 19*t - k*t**3 wrt t.\nAnswer: -100*t**3 - 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 9) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10580 is divided by 81?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 9 = h. Suppose -3*n = -0*n - h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-78)\/(-12) + -8 - (-1 - 1). Let o be 51\/(-34)*(-4)\/(-6). Which is the fourth biggest value?  (a) o  (b) w  (c) 0.3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*c + 3*c - 14*c.\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 30 (base 13) to base 6\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/6090 and 83\/5906430?\nAnswer: 41345010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*5*-2*-1. Let z(w) = w**3 + 11*w**2 + 12*w - 22. Let p be z(b). Let o = p + 125. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31.28 + 2.42. Round c to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 2)*(g - 7*g**2 - g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum 14132457 and -0.0418.\nAnswer: 14132456.9582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 5*t - 1. Let y(x) = 3*x - 12. Let v be y(3). What is c(v)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 367137.1 micrometers?\nAnswer: 367.1371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2593947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**2 + 14*f - 14. Let a(z) = 33*z + 341. Let s be a(-10). Give y(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7492 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 PM and 9:09 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b - 1. Let j(s) be the first derivative of 2*s**2 + s - 19. Give j(g) + 2*l(g).\nAnswer: 6*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 5:09 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-6)*c)**(-5\/9)*(c**(-3\/8)\/c)**34 assuming c is positive.\nAnswer: c**(-1583\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 144096.277 rounded to the nearest 1000?\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Express (-2*n**2 - 5*n**2 + 9*n**2)*(6 - 1 + 2 + (-5 + 0 + 3)*(-2 + 3 - 2)) as w*n**2 + o + j*n and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 1 = -2*u, 4*q = -5*u - 2. Let n = -801 + 803. Suppose 0 = -s + 3*x + 3, 0*s - n*x - 10 = -q*s. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 109b2a8 + a?\nAnswer: 109b2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28 - -31. Let p be (14750\/75)\/((-2)\/l). Round p to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of m**4\/8 - 31*m**3\/6 - 4*m**2. What are the prime factors of f(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*h**5 + 3*h**5 + 0*h**5 + (2*h**4 + 2*h**4 - 5*h**4)*(-38 + 15 + 10*h + 22 + (-6 + 2 + 2)*(3*h + 0*h - 2*h) + 37 - 37 - 16*h).\nAnswer: 7*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 36\/3361303 and -43\/2139011.\nAnswer: 23529121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*w**3 + 0*w**2 + 0*w + 0.\nAnswer: -2*w**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2993042*y**3 + 2993027*y**3 - 17 - y + y - 8*y**2 in the form m + j*y**2 + v*y + w*y**3 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 333145949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7085, -7071, -7033, -6959, -6837, -6655?\nAnswer: -6401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3757)\/(-624) + -6 + 253\/93840?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(19) + 2 + sqrt(19) - sqrt(19) - (sqrt(114) + ((sqrt(114) + sqrt(114) + 3*sqrt(114) - sqrt(114)) + sqrt(114) - sqrt(114)))\/sqrt(6))*-5.\nAnswer: 5 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -133*u**3 + 350*u**2 - 10*u - 100. Let b(f) = 222*f**3 - 583*f**2 + 17*f + 170. Give 10*b(x) + 17*w(x).\nAnswer: -41*x**3 + 120*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.14?  (a) 3  (b) 2\/13  (c) 218015\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, -0.3, 0.15, -0.26.\nAnswer: -3, -0.3, -0.26, 0.15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 101*v**2 + v. Let w be r(1). Let k = w - 215. Let j = k - -165. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**4\/7 + 149554*q**3\/7 + 2795425942*q**2\/7 - 13980868810*q\/7 = 0 for q.\nAnswer: -37391, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -2\/7, -0.5, -0.051, 1.2.\nAnswer: -4, -0.5, -2\/7, -0.051, 0, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 29046379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-747)\/(-83)*((448\/(-60))\/(-4) - 2). Let f = 13 - 13.7. Let h = f + 0.2. What is the nearest to 0 in h, l, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7359105, 14718212, 22077319, 29436426, 36795533?\nAnswer: 44154640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-120)\/(-7))\/((-31)\/(-217)). Suppose 0*v + 2*v - i = 0. Calculate the highest common factor of 50 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -h**5\/90 + 23*h**4\/3 - 2116*h**3 + 160*h**2. Factor a(t).\nAnswer: -2*(t - 138)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 6:42 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.926 + -0.626. What is the closest to r in -0.2, -0.5, -4\/5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 + 13. What is the smallest common multiple of c and ((-280)\/42)\/((-2)\/6)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 91, -1, -3\/4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 AM and 7:40 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*1\/1*(-1337)\/191.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + -2. Let d(y) = 2*y**2 - 49*y + 54. Let t be d(23). Let i be (-108)\/(-195) + (-3)\/(t\/(-2)). Which is the closest to 0?  (a) i  (b) 1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204*j + 10*j = 5723040 + 7126162. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of u**3\/6 - u**2 - 27*u. Let i(y) = -y**2 + 7*y - 6. Let x be i(4). Let k be p(x). Solve -k = -3*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6949843ms to microseconds.\nAnswer: 694.9843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vyas when four letters picked without replacement from sssasaaaaatayavv.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2 + 3 - k - 10*k**2 - 6 + 0. Let w be -1 - (2 + 0) - -2. Calculate b(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(0 + -1 + 0). Which is bigger: f or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 11*l**2 - 3*l - 1. Let k(f) = -12*f**2 + 2*f. Let d be -3 + -4 + 6 + (-3)\/3. What is d*h(j) - 3*k(j)?\nAnswer: 14*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1680 and 996765?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 124 - 51. Suppose -n = -2*o + 111. Let x(c) = -1 - o*c + 1 + 91*c. Let f(u) = -27*u**2. Give x(f(m)).\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -234*n + 226*n + 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 293*k - 285*k - 22480. Is 50 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -13, 0.1, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 59333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17967 + -3686. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6421, -12929, -19437?\nAnswer: -25945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, l: 7}. What is prob of picking 3 l?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -40*b + 6 + 36*b + 30*b + 163 + b**2.\nAnswer: (b + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 11 = -5. Let c(q) = 2*q**3 - 25*q**2 - 11*q - 15. Calculate the lowest common multiple of c(13) and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -313 + 495. Let f = -23 + n. What are the prime factors of f?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from ohoohhoooohoooohhho?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*u + 12, 5*u = -6*n + 36 + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 685 - 401. Suppose -21*c + 23*c = m. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -135 - -109 - (6 - 70) - 10\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-6 - 0) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/1*-3 - (85 + -88). Let r(f) = -9*f + 31. List the prime factors of r(j).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -2\/29, -1, 1.38?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 185 + -179. Solve -r*l + l - 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 909851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -3*f + 9. Let g = 234 - 229. Let y(q) be the second derivative of -2*q**3\/3 + 13*q**2\/2 + q. Suppose 0*i = 2*i + 14. Give g*y(o) + i*p(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (414\/63*(-315)\/(-90))\/(2\/2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-18)\/(-27)*12*1. List the prime factors of (20\/n + -2)*250.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2035492.7522+-0.3\nAnswer: 2035492.4522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 AM and 9:52 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74 = 6*d + 20 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2515 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 54*b - 2764. What is u(51)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(297)*2)\/(((sqrt(110) - (sqrt(110) + sqrt(110) + 2*sqrt(110)*-5 + sqrt(110))) + sqrt(110))\/sqrt(10)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 - 20*u + 25. Calculate m(8).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b + 5*b = -2*b. Suppose b = 2*m + 3*n - 19, -n - 6 - 11 = -m. Calculate the lowest common multiple of m and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003124 rounded to 6 decimal places?\nAnswer: -0.000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76*d**3 + 91*d**3 - 17*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-228)\/(-3) - -2) + -2. Suppose 3*w - m - 47 = 0. What is the remainder when w is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -157*s**2 + 728*s - 33*s**2 - 727*s in the form g*s**2 + j*s + i and give g.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from xggqqgxgxqqgqgqgqgg?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n - 5*l = -3*n + 27, 0 = -4*n + l - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 866*f + 3585. Is 4 a factor of y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11944*l - 12015*l + 42 = -1236 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v - 2*v + v + (2 - 2*v + 3*v + 0*v)*(-875 - 772 - 1516).\nAnswer: -3165*v - 6326","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15297 + -15302. Let g = 13.08 + -7.09. Let m = -6 + g. What is the second smallest value in m, 0.06, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 0*y + 0 - 1\/210*y**7 + 1\/36*y**5 - 1\/72*y**4 - 1\/9*y**3 + 1\/360*y**6 - 3*y**2. Find u, given that p(u) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ko when two letters picked without replacement from dokkodkokoodooddo?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -1\/12*a**4 + 13*a + 1\/2*a**2 - 1\/6*a**3 + 0. Determine b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7\/6 - 25\/42. Which is greater: y or 1\/10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 + 10*s - 9. Let p be j(-11). Suppose -g + f = -3*f + 15, -6 = -p*f. Which is the second biggest value?  (a) 4  (b) g  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + w - 282 - 10, -5*z + 4*w = -464. Suppose 0 = -5*f + h + 18, f - 15 = 2*h + 2*h. What is the common denominator of 340\/z - 2\/f and 107\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k - 27 = -608. What are the prime factors of k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 - 7*s - 5. Let b be i(-4). Sort 5, b, 3, 0 in decreasing order.\nAnswer: b, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k**3 + 2*k**3 - 2*k**3)*(1 - 4 + 1)*(-178*k - 2 - 138*k + 365*k).\nAnswer: 392*k**4 - 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/16*-2*(-149360)\/22404.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 28 = -10*w. Let r be (10\/w)\/((-5)\/(-50)). Let b be 480*(r\/15)\/1. What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + 13 - (-1 - (1 + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + -3 + (9 + -4 - -18). Suppose 8*w - 332 = b. What is the least common multiple of 8 and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4108 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 825, 1997, 3441, 5157, 7145, 9405, 11937?\nAnswer: 14741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*v = 118. Let g = 61 + v. Solve s + 2*y = -s + 4, 4 = g*s + 3*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 (base 10) in base 2?\nAnswer: 110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186144 is divided by 346?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + 1)*(0*u - u + 4*u)*(8*u + 7*u - 6*u) to y + l*u**2 + t*u and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i + 2. What is v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -8, -0.1, 0.2, 11 in decreasing order.\nAnswer: 11, 0.2, -0.1, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 3 + 20 = 0. Suppose z = -v + 3*r + r, -2*r + 13 = -5*v. Let x be (v\/4)\/(2\/4). Is -1 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14000 (base 6) to base 16.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/10*(4 - 5)\/(28\/(-10)). Let d = 0.3 + -3.3. Which is the nearest to o?  (a) 7  (b) d  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - 0)\/((-4)\/(-1)). Let o = 13 + -18. Sort f, -3, o.\nAnswer: o, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1ac2 (base 13) to base 12.\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 6 + 1 - (-95)\/(-12)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169*h + 16983 = -431*h - 367*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**3 - 13*o**2 - o + 3. Let t(l) = l**3 - 1. Give -3*t(k) - w(k).\nAnswer: -k**3 + 13*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**2 + 6*x**2 + 4*x**2 + 4*x**2 - 3*x**2 - 3*x**2 + (0*x - 2*x + 4*x)*(2*x + 5 - 5) + (-5*x - x + 4*x)*(3 - 3 - 3*x) + 4*x**2 + 2*x**2 - 4*x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 12  (b) 3\/10  (c) 23159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 7:03 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10 + (2\/24 - 4305\/420). Which is the third smallest value?  (a) 22  (b) 445  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16\/3*y - 7\/3*y**2 - 4\/3.\nAnswer: -(y + 2)*(7*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = l + 3*l - 5*g, -5*g = l + 11. Differentiate 23*s**4 + 12*s**l - 4*s**3 - 37 + 4*s**3 wrt s.\nAnswer: 140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of -2*s**6\/15 - 7*s**3\/3 + 16*s. Find the second derivative of j(q) wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12.29 + 2.29. Let x = y - -20. Let o = 5 + -3. Is x > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 4*y**2 - 90*y + 278. Determine n(18).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14220708757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -17467110 (base 8) in base 4?\nAnswer: -33212321020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 182505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 4:59 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1*(15 + -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**2 - 59*l + 64. Let q be v(28). What is the fourth smallest value in q, 1, -1\/2, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1344310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -15, -12, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 28 - 28.2. Let o(g) = 3*g + 5. Let s be o(0). What is the third biggest value in -12, v, s?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-188)\/10)\/(2\/(-10)). Let g = 19 - -46. Suppose -2*s - g = -2*v + 3*s, -4*s = -3*v + p. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**3 - 376*h**2 - 7756*h - 14040.\nAnswer: -4*(h + 2)*(h + 27)*(h + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1186847?\nAnswer: 1186847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4018769309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3684 - 3684 - 89*k)*(4*k - 3*k + 4*k + (6 - 1 - 2)*(-6*k - k + 4*k)).\nAnswer: 356*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - (5 + -2)) + (30 - 12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.9488617 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + 10*d - 6*d + 28, 42 = -3*r + 5*d. Calculate the common denominator of 13\/2 and 60\/40*r\/(-120).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j*((j*j\/j**(1\/6)*j)\/j)\/j*j)\/j**(-2\/13))\/(j\/(j*j**0)*j**0))**21)**(-38) assuming j is positive.\nAnswer: j**(-30989\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 14*z**2 + 7*z - 12. Let o be w(13). Let i = 205 + o. Let a be (0\/2 - -1)\/(5\/i). What is the highest common divisor of a and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 322436440 and 16160.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 26\/39 + 52\/(-6). Let v(q) = -8*q - 15. What are the prime factors of v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/65 in -0.3, 2, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 524 - 7*m - 520 - 20*m - m + 6*m - 3*m + (1 + 2 - 2)*(-2*m - m + 8*m).\nAnswer: -20*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r**2 - 6*r - 6. Let t(k) = -6*k**2 + 11*k + 11. Suppose 19 = 2*q - 3*q - 4*f, -8 = -q + 5*f. Give q*z(y) - 4*t(y).\nAnswer: 3*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 98209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 6 + 21 = 4*i, 0 = -5*t + 15. List the prime factors of (-1188)\/(-52) + i\/39.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -5*n - y, y - 36 + 38 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 16135000 to the nearest one hundred thousand.\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (((-65)\/(-45))\/13)\/(-6*2\/(-72))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-7)\/(l*l\/(l\/(l*l**(1\/5)\/l))))**(-13))**20 assuming l is positive.\nAnswer: l**2132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12004556 is divided by 75?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46, -50, -52, -52, -50, -46?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -6*c**2 - 5*c. Let r(j) = j**2 - 6*j + 1. Let a be r(5). Let t be w(a). Round t to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 + (-71)\/(-355) + (-51681)\/1505.\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**2 + 0*u**2 - u**2 - 1 - u**2 + 1 + (-u + 3*u - u)*(-u + 4 - 4) + (60*u + 3*u - 6*u)*(2 - 2 + 2*u) to a*u**2 + j + w*u and give a.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from qscxw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(35) + sqrt(35)*-2) + sqrt(35))*5)\/((sqrt(42) + sqrt(378)*-1)\/sqrt(6)).\nAnswer: -25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**3\/9 - 3034*n**2\/3 - 1151150*n - 10351250\/9 = 0.\nAnswer: -2275, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -298073, -298066, -298045, -298004, -297937, -297838, -297701, -297520?\nAnswer: -297289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1213 (base 7) to base 10.\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/30 and -17\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 PM and 2:37 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 47501291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.1560017 to 4 decimal places.\nAnswer: -2.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 10:18 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13 plus -1935594472.469?\nAnswer: -1935594472.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -238554*i**3 + 242935*i?\nAnswer: -1431324*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 104 + -108. Let v = 126 + -125. What is the third smallest value in w, -0.12, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 3 - 4)*(-16 - 19 + 49)*(k - 2*k + 0*k) in the form a*k + p and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-24))\/(0 - ((-306)\/9 - -35))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/7 - (-4)\/(-14). Let t = 9 - 9. What is the first derivative of -2*u**2 + 1 + i*u**2 + t*u**2 wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 + 4*j - 1. Let l be f(-10). Calculate the highest common divisor of l and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50372 divided by -6.\nAnswer: 25186\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*n - 38*n + 115*n = -287 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4128549473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -21\/2, -3\/40, -28?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - 0. What are the prime factors of v\/2*(-6 - -2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-9)*2\/(-4 + 2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -58 + 63. Suppose 3*c = -5*y + 25, 5*c - 59 = -2*y - 11. Suppose 2*p + a - c = 2*a, -3*p + 4*a = -5. What is the smallest common multiple of x and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9125 is divided by 7544.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/36*-9*(-1)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 14\/47539?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/6*(2 + 72\/(-44))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24\/19 + -130\/133. Factor -i - 8\/7*x**2 - 10\/7*x.\nAnswer: -2*(x + 1)*(4*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1901076041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*v - 128*v = -18*v - 185724. Calculate the greatest common factor of 8241 and v.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4086 + 4219. Which is bigger: f or 21?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2124, 17113, 57828, 137133, 267892, 462969?\nAnswer: 735228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/4610 and 61\/50?\nAnswer: 23050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 divided by -741984?\nAnswer: -13\/247328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44 - -59. What is the remainder when (2698\/57)\/(2\/3) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -16 - (26 - 20)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 266782402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1047291 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -67, -148, -231, -316?\n\"Answer: -a**2 - 78*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a + 16 - 4*a + a**3 - 10 + 0*a + 3*a**2 to the form j*a**2 + b*a**3 + l*a + u and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2092582*b**3 + 13887621*b**2?\nAnswer: -12555492","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83587727.\nAnswer: 23, 3634249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 209\/(-154) + 5\/10.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 4*q. Let a(i) = i**2 + i + 3. Determine a(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -17291  (b) -3\/4  (c) -2  (d) 5  (e) -0.3  (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.3 + -3.3. Which is the fourth biggest value?  (a) -1\/8  (b) 1  (c) -0.11  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 4:32 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-11 + 8)\/((-3)\/(-2)). Let q be 7\/21 + v\/6. Factor q*l + 0*l**2 + 0 - 2\/5*l**3 - 2\/5*l**4.\nAnswer: -2*l**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-73566 - 1966*g + 128*g + 73566)*(-3*g**3 - g**3 + 2*g**3).\nAnswer: 3676*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3*d - 7 = 0, -d + 21 = 4*i - 0*d. Suppose 60000000 = -i*c - 0*c. What is c rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 678.1364 years?\nAnswer: 67.81364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6 + (-7 + 4 - -7). Let y be (-5)\/i - (-4)\/8. Let j be (y\/2)\/((-7)\/7). Solve j = 4*g - 20 - 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-6))\/(12\/18)*160\/39620?\nAnswer: 2\/283","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(4\/5)\/(i*i**(2\/9)))\/((i*i\/i**(-4))\/((i*i**(-4\/3)\/i*i*i*i)\/i)))\/((i*(i*i**1*i)\/i)**(-2\/53))**39 assuming i is positive.\nAnswer: i**(-3197\/2385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.9 and -5.79.\nAnswer: -16.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, -6, -2, -0.03, 0.09?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 - z + 1. Let f be v(0). Let k(a) = 2*a + 1. Let q be k(f). What is the second derivative of 0*t**3 - 3*t**3 - t + t**q wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 0 - 6*d + 0*d + 10 + 3*d. Let k be y(3). Let u be (8\/24)\/(302\/(-12)). Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, j: 8, b: 1, e: 2, m: 6}. What is prob of picking 1 j, 1 b, and 1 l?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 0.2314, 0, 7\/3, 5, 11\/3, -0.5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t**2 - 1 + 9*t - 2*t**2 - 2. Let j = 20 + -30. What is the units digit of v(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10\/15521 - 1141933\/13813690. What is the common denominator of -157\/2670 and c?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/v**7*v*v\/v**(2\/25))\/((v**(-7)\/v)\/v*v**(-3\/4)))**(-49) assuming v is positive.\nAnswer: v**(-32683\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 530.66 + -521. What is q rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -16501*g - 31 + 36 - 33 + 28 as z*g + p and give z.\nAnswer: -16501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-20))\/((-1)\/(-10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 0, -5, -2 in descending order.\nAnswer: 5, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6713, 6715, 6717, 6719, 6721, 6723?\nAnswer: 6725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24907 is divided by 8210.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3080 and 4448840?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -34 - 31 - -17.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(1\/6))**(-24)*(l**(-5)\/l)\/l*l*l**4 assuming l is positive.\nAnswer: l**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-21)\/(-70))\/(-2*(-1)\/(-5))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.14 * 103952\nAnswer: 14553.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h**3 - h**2 + 5*h - 3. Let o(t) = -t + 1. Determine b(d) + 3*o(d).\nAnswer: 2*d**3 - d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12814*l**3 + 66514 wrt l?\nAnswer: 38442*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3670 a factor of 25678990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -1007*z + 0 - 436*z - 289*z + 0. Let l(i) = -2*i**2. Determine r(l(n)).\nAnswer: 3464*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 7 + (55 + -55 - (-3 + 0))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 3:50 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-40*b - 38*b + 48*b)*(-627*b**3 - 358*b**3 + 760*b**3) as a*b**2 + s*b**3 + f + j*b + r*b**4 and give r.\nAnswer: 6750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -15  (b) -5  (c) 1\/5  (d) 17  (e) 4  (f) 8\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2552 = -5*j + 370, 2*j - 4*w + 860 = 0. Let a = j + 424. Sort a, 4, 1 in decreasing order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-25)\/(-4) + (-1)\/4. Suppose r*f = 5 - 11. Let v(s) = -41*s - 1. List the prime factors of v(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -3*b**5\/4 - 4329*b**4\/4 - 38445*b**3\/2 + 42777*b**2\/2 + 76893*b\/4 - 81225\/4 = 0.\nAnswer: -1425, -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 6, 5\/82?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -61 divided by -746342\nAnswer: 61\/746342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-5)\/3 - -1)*(-4590)\/34?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 199656615 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from {j: 2, a: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13*y + 2 + 7 - 12 - 3 + 3 - y + (-y + 2*y - 2*y)*(3 - 3 + 1).\nAnswer: 11*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 + 11413270?\nAnswer: 11413276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1026916 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 876941572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - 9*m - 601. Let s be c(-21). Calculate the highest common factor of s and 4379.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/28 - 4\/(-14). Let j be i\/3 + (9 - 7). Suppose j*v - 80 = -2*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0082 - 0.0382. Put -0.3, 1\/6, v, 2\/5 in descending order.\nAnswer: 2\/5, 1\/6, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b - 5. Let a(l) = -l - 14. Let t be a(-8). Calculate s(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 9 = -1. Suppose -28 = 9*s - b*s. What is the units digit of 14\/(-49) - 1598\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*s**2 + 78*s**2 - 39*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -51*n - 8*n - 31*n as r + x*n and give x.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-12)*(-70776)\/58980?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -622176 + 14?\nAnswer: -622162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 3*k**2 - 145*k + 414. Let t be n(3). Let y(l) = -5*l + 36. Give y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -224725510 + 4?\nAnswer: -224725507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000038069 rounded to seven decimal places?\nAnswer: 0.0000381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6872*n**2 + 707 - 7345*n**2 - 707.\nAnswer: -473*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9 + -6 - 3 - -120. Calculate the highest common factor of p and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((672\/35)\/16)\/(84\/(-40))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7840\/(-17136) - (-24)\/1836.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 + 4*c - 55. Let w be j(16). Let r = 273 - w. Put 4, r, -3, 3 in ascending order.\nAnswer: -3, 3, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l, 1 f, and 1 d when four letters picked without replacement from {d: 1, l: 13, h: 1, f: 2}?\nAnswer: 39\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 6*u**2 + 5*u - 6. Let k be r(-7). Suppose 2 + k = 5*x. Suppose n + 5 = x*n. What is the remainder when n is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 23*a**2 - 2*a + 29*a**2 + 5 - 5. Is j(-1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5321.64 take away -60.72782?\nAnswer: 5382.36782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 AM and 11:45 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - v**2 + 0*v)*(-3*v + 4*v - 3*v + (0 + 0 - 4)*(-4*v - 2*v + 5*v)).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -309\/7 + 44. Let k = 7 - 4. What is the third smallest value in -1\/4, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -4*j - 2. Let a(t) = -19 + 5*t + 13 + 8. Let k(y) = -y + 14. Let x = 8 - -3. Let m be k(x). Determine m*v(p) + 2*a(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 110133 + 202?\nAnswer: 110340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1784 - 1782. What is the second smallest value in 0.003, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 + 15*y - 972. Give r(-38).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/1081 in -0.06, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -t + 5*q + 2, -5*q = -3*t - 4. Let g = t + 0. Does g = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 0 - (5 + -16 + -1). Suppose -q*l + 3296 = -4899. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -10*t + 4*t + 2*t + 3*t. Let l(g) be the third derivative of 0*g + 1\/60*g**5 + 0 - 2*g**2 + 0*g**4 + 0*g**3. What is l(j(z))?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20.2 - 20. Let i = -131 + 117. Which is the biggest value?  (a) r  (b) 2\/21  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x**2 + 3*x - 3*x)*(x - 6*x + 3*x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (((-3)\/4)\/1)\/(-177 + 172). Sort -48, 0.5, -5, b in descending order.\nAnswer: 0.5, b, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, -5.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxuxuuvvzxz. Give prob of sequence uuvv.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 2*s - 3)*(-2*s + 257 - 241 + 72) to the form h + m*s + v*s**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 667, -556, -3817, -9116, -16453, -25828?\n\"Answer: -1019*h**2 + 1834*h - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 566 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 987, 968, 941, 900, 839, 752, 633, 476?\n\"Answer: -v**3 + 2*v**2 - 18*v + 1004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 29246080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 36*m**3*n**3 + 8*m**3*n - 19*m**3 + 1810*m**2 + 24*m*n**3 - m*n**2 - 1907*n**3 wrt n.\nAnswer: 216*m**3 + 144*m - 11442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -3*g**3 + g + 1. Let x be o(-1). Suppose 5 = x*k - 1, 0 = -2*j + 2*k - 54. Let h = j + 27. Does 3 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80538.\nAnswer: 2, 3, 31, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 2174836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6450\/2580*1\/(-1)*-8*4\/(-150)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 - 13. Suppose -8*x + 0*x = -g. Solve 3*p + x = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*q + 35994 - 237954 = -22*q. What is the highest common divisor of 1080 and q?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/8)\/((-40065)\/40). Let g = -248383\/80130 + u. Let h = -20889\/4520 + -2\/565. What is the common denominator of g and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 - -15 - (-42)\/9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 2*u + 86 = 0. Let x(l) = -l**3 + 7*l**2 + l + 5. Let q be x(7). Let j = q - u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 - 3. Let r be t(0). What is the fourth biggest value in r, -2.1, -0.4, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -658 - -658.2. Suppose -4*w + 74 = -2*q, -11*w = 4*q - 9*w + 118. Which is the second smallest value?  (a) r  (b) q  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 3018 - 2*h**2 + 3775 + 3*h**3 - 6050 as n*h + q*h**2 + i*h**3 + y and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*o - 9*o + 12*o = -79*o + 2813 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 + 8*g + 11. Let c be i(10). Let z(m) = m**2 - 4*m. Let o be z(5). Put c, o, 0 in increasing order.\nAnswer: c, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3*i**2 + 12*i + 4. Let y(a) be the second derivative of 0 + 1\/2*a**2 - 1\/12*a**4 + a + 2\/3*a**3. Let t(c) = 2*g(c) - 7*y(c). Give t(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + w + 16 = 0, 5*t + 108*w = 99*w - 29 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 22 - (15 + -10 + 15 - 12)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - (1 + -1)) + 940 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(2\/(1 - 2)). Let z = -372362247\/1241 - -300050. Let t = -3\/73 - z. What is the nearest to o in 1\/4, -1\/4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/4)\/(h*h\/(h**4*h)))**(-1\/23)\/((h**(-2\/3))**18*(h\/(h**1*h*h*h))\/h*h**0\/h) assuming h is positive.\nAnswer: h**(1553\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 522340 is divided by 3300?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7*(-1 - 9\/(-7)). Differentiate 1 + 2*r**2 - 5 + 11 + r**s wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 706410?\nAnswer: 2, 3, 5, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b - 4 + 4)*(-2 - 2 + 2) - 3*b + 3 - 3 + (-3 + b + 3)*(-5 + 5 - 3).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 85 + -62. Let h be 2*s\/14 + (-12)\/4. Factor -h - 2\/7*v**3 - 6\/7*v**2 - 6\/7*v.\nAnswer: -2*(v + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5898.\nAnswer: 2, 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*x - 692 - 608 = 2*x + 21*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -678 + 1339 - 20*c - 651 in the form u*c + v and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of -163*j**6\/6 - 3*j**2\/2 + 126*j - 172. Find the second derivative of f(o) wrt o.\nAnswer: -3260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -5*d. Let n(l) = -260*l - 823. Calculate n(a(y)).\nAnswer: 1300*y - 823","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1551.8, -0.4, -4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(2\/7)\/c)\/c*c**(-3))**(2\/149)\/((c**(5\/6)\/(c\/(c*c**4)*c))\/(c**(-1\/10)\/(c**(1\/2)*c*c))) assuming c is positive.\nAnswer: c**(-203279\/31290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -308.80991 and 0.09?\nAnswer: -27.7928919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -12*u + 3*u. Suppose 0 = u*q - 8*q - 152. Calculate the common denominator of -24\/19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -301, -428, -541, -634, -701, -736, -733?\n\"Answer: o**3 + o**2 - 137*o - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d**2. Let c(x) = 21*x. Let t(i) = 4*i. Let n(f) = -4*c(f) + 22*t(f). What is n(b(h))?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.106 + -62.106. Let o = -18.867054 - -80.867112. Let q = o + h. What is q rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 664?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fifty-three fifths of a microgram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 40198653 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/3 in -1, 2\/11, 0, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 30314.\nAnswer: 909420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 56\/(-14) + 22\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and -312 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2868 - -2617.2. Let m = s + 251. Sort 2\/23, 2, m.\nAnswer: 2\/23, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 20\/(-6)*(-108 - -66). Suppose b = 33*h - 28*h. What is the remainder when 105 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 299 divide 128869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 2325205 = -4*k, -k - 714195 = -2*n + 215874. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -49*o + 2725 + 656. Suppose 24*l = -51 - o. Let x be -3 + 2 + (-10)\/(-8). Which is the closest to -2\/11?  (a) l  (b) -4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/5)*z)\/(z**11\/z)*z*z**(4\/7)*z**(-6) assuming z is positive.\nAnswer: z**(-463\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 + 15*h - 13. Let x be j(1). Suppose 5*s = -5*y + 5, -y + 5*s - 3 = -4. Suppose y = r - x. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3533*m - 1806*m**2 - 2394*m**2 - 928*m**2 wrt m.\nAnswer: -10256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 99 and 1413.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10246*o*u + 9549796*o + 81*u**2 with respect to u.\nAnswer: -10246*o + 162*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 57617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 - 5 + 5*j + 4*j**2 - 6*j**2. Let d be i(6). Let o = d + 16. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/6 + 38*n**2\/3 - 1189*n\/6 - 1681.\nAnswer: -(n - 41)**2*(n + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 260 and 4030.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 71 + -63. Suppose 0 = n - 11 + q. Suppose 3*f - 4*b - 376 = 0, f = n*b + 108 + 9. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 40, 0, -1, 5.1, -5, -338\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25319 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 + 13. Solve 3*r - 6*i + 3*i = 0, -3*i - 9 = q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 27 in -0.1, 3\/2, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -89\/3 - -30. Let x = -0.106 + -2.894. Put 5, m, x in increasing order.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 3*d + 23, -4*x = -3*x + d - 11. Suppose 11*m - 392 = -3*m. What is the highest common divisor of m and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 104657368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 PM and 1:45 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 3258615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 20 = 3*b, 8 = -5*d + 4*b - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeccee?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 219860722 divided by -109930361?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 69 = 44 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*u + 31*u + 31 = -14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 5*b**2 + 75*b - 10999. Calculate z(-55).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by 13.\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3082, -3083, -3084, -3085, -3086?\n\"Answer: -g - 3081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04809379 + -0.1.\nAnswer: -0.05190621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -24676 and -3.\nAnswer: 74028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 10*c - 306. Let k(d) = 2*d - 61. Give -11*k(o) + 2*s(o).\nAnswer: -2*o + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + q - 24 = 0. Solve -3*s = 4*y + 26, -s + 3*y + 17 = q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 - 42\/(-63)*(-3 + (-3)\/1). Let k(q) be the second derivative of 0*q**2 + a + 0*q**3 + 13\/12*q**4 + 16*q. Let t(h) = 2*h**2. Calculate k(t(s)).\nAnswer: 52*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1078 or -1080?\nAnswer: -1078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22895149*t**3 - 18*t**2 + 65451*t wrt t?\nAnswer: 137370894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6142134 and -9?\nAnswer: 55279206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 4*j**3 + 32*j**2 + 27*j - 4. Determine f(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a0 (base 13) to base 16.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 1.1 and -63 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, q: 3, e: 2}. What is prob of picking 2 e and 2 p?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 6*n**2 + 185*n - 538. Give k(3).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1.4+-26752\nAnswer: -26753.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from asaaaaasa. What is prob of sequence asaa?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/36 + (-20)\/9. Let f be (1*-2)\/(1\/(-11)). Suppose -z + a - 5*a + f = 0, -5 = -a. Sort t, -3, z.\nAnswer: -3, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 15*f + 88. Let v be 10*-3*1\/6. Let a be n(v). Solve 3*y = -12, -a = -2*u + 4*y + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -959*s + 978*s = 1273. Solve -14 = -s*x + 81*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -152?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = s - 7, 3*z + 3*s - 7173 = 0. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of 40 + c**2 + 4*c - 2\/3*c**3 + 1\/4*c**4. 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: Sort -107, -3, -1\/3.\nAnswer: -107, -3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of h**2*l**2 + 1552816878*h**2 - 17497084*h*l**3 + 3*l wrt l?\nAnswer: 2*h**2*l - 52491252*h*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*c + 4*h + 3 = -43*c, 4*h = -2*c + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*s**5 + s**3*x**3 + 8786*s**3*x + 8*s**2*x**3 - s**2*x - 2*s**2 + 1495*s*x**3 + 104*x**3 - 1 wrt s?\nAnswer: 1080*s**2 + 6*x**3 + 52716*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - -12. Let z(s) = q*s + 27*s - 54*s. Let l(n) be the first derivative of -3*n**2\/2 + 24. What is z(l(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7605*m + 51534 - 216488 = -5143*m for m.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 43, -0.5, 4, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28252?\nAnswer: 2, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 7*f**3 - 2*f**2 + 3*f - 5. What is the hundreds digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*c + 149208 = 149505 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {o: 1, r: 1, p: 1, m: 5, c: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/(-2) + -2 - -80. Suppose -a + 4*a + 4*z = 129, 0 = -5*z. Let f = c - a. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (7 - (-198)\/2) + 5. Suppose 57 = 14*k - v. Solve 2*p = 5*t - 19, 4*t + k = 7*t - p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of 0*p**4 + 0*p**2 + 1\/6*p**3 + 0*p**5 + 1\/15*p**6 + 0 - p. What is the second derivative of m(r) wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 556 is divided by 382?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.004 - -2.004. Let q = -18 + 17.5. What is the third biggest value in -2\/13, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**4 + 0*c**4 + c**4)*(-324 - 258 - 83).\nAnswer: 665*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of 19*l**4\/24 - l**3\/6 + 2*l**2. Let x be i(-1). List the prime factors of (6\/(-4))\/(2\/x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -10*w - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2\/723 + 277\/13014. Is 2 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 206557518 to the power of 1\/3, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 + 1)*(0 - 1 + 2)*(k**2 + k**2 - 5*k**2) - 4*k**2 + k**2 - 5*k**2.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 AM and 8:59 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/151590 and 181\/2790.\nAnswer: 454770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2904 = -4*z, -3199 + 277 = -y + 2*z. Calculate the smallest common multiple of 10 and y.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -7. Let w = 2 - 0. What is the third derivative of -l**2 - h*l**5 + 3*l**5 - w*l**6 wrt l?\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 6:21 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + l**3 - 14 + 25 - 13 to the form k*l**3 + v + f*l**2 + z*l and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -975681 - -333681. Round t to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24856741 is divided by 86308?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -63, -3 in increasing order.\nAnswer: -63, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 135.64226095 + -135.17226. Let b = j - 0.47. What is b rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30 + 45. Let q be 1254\/h - (-10)\/25. Let x = -67 + q. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a93b3 + 4?\nAnswer: -a93ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/10*26\/(-39).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 1 - 13. Suppose 2*g = g + k. Suppose -2*f - 14 = -3*y - g*f, -2*y + 2*f = -16. Solve -3*l + y = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -45*b + 38*b - 134*b - 131*b + 183*b**2 + b wrt b?\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*u = 24, x + 2*x - 40 = 4*u. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -4, -1, 4, 11, 20, 31?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7307, -7313, -7331, -7367, -7427, -7517?\nAnswer: -7643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21 - -27. Let i be (0 + -4 - -5) + z. Let y be i - (2 + -1 + 3). Sort 1, 0, y in decreasing order.\nAnswer: y, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28\/9 in 2, 0.2, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -12*k**3 + 5*k**2 - 6. Let s be q(-3). Let c = 365 - s. Sort 4, c, 26 in ascending order.\nAnswer: c, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*a**4 + 368653*a**3 + 304306*a**2 - 61423*a + 2792 = 0. What is a?\nAnswer: -2792, -1, 1\/12, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 830179368 divided by 412614.\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, t: 3, e: 5, r: 4, w: 4}. What is prob of picking 2 x, 1 w, and 1 e?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3168446886 to the power of 1\/2, to the nearest integer?\nAnswer: 56289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-204)\/200 + 4\/12 - 42\/(-63).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 11988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 48 - 3 = 0. Suppose -t*y + 4*y = 0. Solve 0 = -3*g - 3*i - 2*i + 12, y = -5*g - 3*i + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a - 1. Let x be h(2). Let k = -4 - x. Suppose 0*c - k = -c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - c**2 - 2*c + 173. What is the hundreds digit of i(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 4024175*f**2. Let v(g) = -9*g. Give x(v(h)).\nAnswer: 325958175*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2*b - 4 = 0. Let s(l) = 4*l**2 + 19*l**3 + b*l - 2 - 2*l**2 - 23*l**3. Let d(j) = -j**3 + j**2 + j - 1. Determine 2*d(x) - s(x).\nAnswer: 2*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3966)\/(-4) + -6 + 6)\/3. Is 332 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cmcdddmddddmccmc. Give prob of picking 3 m.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 510 and 2856.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**2 + 2 - 2)*(-185*j**2 + 591*j - 591*j)*(1 - 3 - 1).\nAnswer: 1110*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 - 37 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 8. Let x(j) be the second derivative of 2*j**3\/3 - 4*j**2 + 7*j. Let u be x(o). Solve -5*b + 9 = -u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + -318?\nAnswer: -31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*o - 176 = 11*o. Let l = o + -20. Is 19 a factor of (-125)\/(-3) - l\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/10)\/((6\/(-1))\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2084789923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -46.92523 rounded to 2 decimal places?\nAnswer: -46.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 5 + 35*k - k**2 + 2*k**2 - 26*k. What is r(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 40*p - 38*p. Suppose 5*i = 0, -4*n + 6*n - 2*i - 4 = p. Suppose -5*o = n*a - 829, 2*o + 4*a + 346 = 4*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2c (base 15) to base 9\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7597 times -2?\nAnswer: 15194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 13299917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a = 6*a + 5*f + 127, -2*f + 134 = 4*a. Suppose 216 = a*z - 48. Solve 0 = -z*n - 29 - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -284391977, -284391996, -284392027, -284392076, -284392149, -284392252, -284392391, -284392572?\n\"Answer: -o**3 - 12*o - 284391964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**5\/5 + 114808*d**4\/5 + 1647494792*d**3\/5 - 3295563644*d**2\/5 - 1647494794*d\/5 + 3295448836\/5 = 0.\nAnswer: -28703, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 4250*m**3 + 7*m**2 - 2124*m**3 - 2040*m**3 to s*m**3 + q*m + i + z*m**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 4:12 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*u**3 + u**3 - 9*u**3 + (-4*u**2 + 12*u**2 + 4*u**2)*((u + u - 4*u)*(-1 - 2 + 1) + u + 4 - 4) - 7*u**3 - 6*u**3 + 4*u**3.\nAnswer: 29*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of 5*i**4\/24 + i**3\/6 - i**2. Let b = -5 - -7. Let d = -1 + b. Let n(y) = -y. Calculate d*p(m) + 4*n(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 67361 or 71105?\nAnswer: 71105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + -1. Let b(g) = 7*g - 7*g - 26 + 3*g. Let u be b(10). Solve -u*y - 5*z + 21 = 0, -5*y + 2*z + 15 = -c*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 43*y + 1626. Let w be p(-38). Let o(f) = f**2 + 10*f + 6. Give o(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -483\/20 - -112\/5. Suppose 135 = -2*x - 153. Find the common denominator of (8\/84)\/((-2)\/x) and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14 take away 286.95?\nAnswer: -286.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -625*l + 625*l + 11*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 11, -23, -79, -157?\n\"Answer: -11*k**2 - k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4670.341376 less than -23?\nAnswer: -4693.341376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20754.0015 + 20747. Let f = -7 - q. What is f rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8.8 - -4.8. Let t = -1719895.000003 - -1719899. Let c = p + t. Round c to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3806205 divided by 39\nAnswer: 97595","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**2 - z + 622 - 3111 - 354 as j*z**2 + x + f*z and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2159*0.15\nAnswer: 323.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w - 788922 = 37*w - 298*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + ((-3)\/1 - 1). Let x = p - -4. Let q be 6*(x\/4)\/1. Sort q, -5, 0 in increasing order.\nAnswer: -5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = -4*l, 4*l - 30222*v + 30220*v = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4 = 4. Let s be -1 + -1 - (-4)\/d. Sort -3, s, 0 in decreasing order.\nAnswer: 0, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12026, 24317, 36622, 48947, 61298, 73681, 86102, 98567?\nAnswer: 111082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 26*r - 104. Let b be l(-9). Round b to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16150*w = 16082*w - 3400 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2183 - 942. Let j = x + -727. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -130.718 and -4.\nAnswer: 522.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that h - 2*h**2 - 3*h - 7*h - 8 + h = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 32 = -q. Let h = q + 12. Solve -3 = -5*v + h*v + 3*w, 5*v - w - 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-102)\/(-153)*(-2)\/4. Suppose -q + 4*j + 8 = -5*q, -1 = -j. Let v be 1\/(-3)*q\/(-4). Which is the closest to l?  (a) 5  (b) 2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2964 by 1482.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/5  (b) 11  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9 - 1 - (10 + -7). Suppose -i*x + 3*n = -18, -2*x + 3*n + 5 = 4*n. What is the greatest common divisor of 33 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8258*d - 4103*d - 4126*d - 22 in the form o*d + h and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 - 49\/14)*-30. Let u be (-1 - v\/(-21))\/(8\/20). Is 0.1 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -288 + 2*z + 137 + z**4 - z + 426*z**2 + 2*z**3 + 148 to n*z**2 + d*z + t*z**4 + u*z**3 + p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4721 + -2445. Let c = l - 1399. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (21\/(-14))\/((-9)\/(-1))*(-3)\/(-7)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -125 - -240. Let i = v - 59. Is 28 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 2\/861?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.945521 - -144.959079. Let q = o - 146. Round q to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11252\/399 + -534\/19. Let g = -1 + 0.8. Which is the closest to -1?  (a) g  (b) v  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 4*z = -92. Let p = 633 + -629. Solve k = -p*w + 4*k + 17, -z = -4*w + 5*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.81 - -7.82. Let d = 269\/2142 - 1\/126. Which is the closest to d?  (a) -4\/5  (b) u  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.411 - 0.011. Let j(m) = m**2 + 5*m + 3. Let l be j(-3). Let k = l + 5. Which is the closest to 0?  (a) -1\/2  (b) s  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81517141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -5  (c) -11435\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43571.\nAnswer: 11, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (39\/(-6))\/(17*(-11)\/(-22) - 9). Solve 8*s = -2*v + c*s - 9, 1 = v + 3*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lfllllfdldfdf?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -512835 = 253*h - 506510 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c + -38?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7497.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2313 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-96)\/24*(-2)\/20. Suppose 9*x = 14*x. Suppose 6*q - q = -x*q. What is the closest to 0 in -5, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2780.7787+-346.184\nAnswer: -3126.9627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9753 + 9195 = 93*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 89557 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((32\/3)\/4)\/(154\/(-33))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288) + -2)*1 - 3*(sqrt(2) + (-2*sqrt(16))\/sqrt(8)))**2.\nAnswer: -60*sqrt(2) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - 207466a?\nAnswer: -2074668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 66 times 55?\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.52 - 0.6. Suppose 3*k - 14 = -5*w, -k + 30*w + 2 = 29*w. What is the nearest to -0.1 in l, k, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28944 and 188064?\nAnswer: 37800864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.6, 3\/2, -4\/9, 2, -2\/13 in decreasing order.\nAnswer: 2, 3\/2, -2\/13, -4\/9, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 23*w - 2. Let g(q) = 166*q**2 - 85*q + 2. What is m(g(u))?\nAnswer: 3818*u**2 - 1955*u + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1441 + -1443. Which is the third biggest value?  (a) 164  (b) f  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-23)\/((-8694)\/(-72))*266\/57.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*a + 2*b, 0 = -4*a - 2*b + 1 - 9. Suppose 3*l = 8*l - 5. Put l, a, -6 in descending order.\nAnswer: l, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 15 = -6*s. Let v(g) = 20*g**2 + 32*g + 7. Calculate the remainder when v(s) is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 - -43. Let o be s\/6 + (-8)\/12. Let l be (-1)\/2*o*(-20)\/(-105). What is the second smallest value in 2\/3, -1, 5, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of 1\/18*f**4 - 20 - 20\/27*f**3 - 16\/9*f + 17\/9*f**2. Factor i(x).\nAnswer: 2*(x - 8)*(x - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 233 = 4*a - 1027. Is 65 a factor of (a - (-2 - -4)) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 3*(-2 + sqrt(117)) - -2*(sqrt(117) - (-4 + sqrt(117)*-2)))**2.\nAnswer: 162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 35065*l**4 - 111*l**3 - 9*l + 308511354 wrt l?\nAnswer: 140260*l**3 - 333*l**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 4*m + 9 = -g, 5*m = 5*g + 5. Suppose -h + o + 6 + m = 0, -5*h - o = -10. Suppose x = h*x. Is 1\/21 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/56)\/((-40)\/32)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 87, -1969, -5395, -10191, -16357?\n\"Answer: -685*p**2 - p + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-24))\/((-130)\/(-1040))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1358 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence himd when four letters picked without replacement from htmmmthhtmihmiddmm.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*m - 3823436 = -8*m - 20*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -63*v**2 - 6*v + 6. Let z(i) = 2645*i**2 + 253*i - 253. Give 253*n(b) + 6*z(b).\nAnswer: -69*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.661 and -2.\nAnswer: 5.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 - 8. Suppose w*z - 2*z = 10. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*a - 2*x - 25, 5 = -a - 5*x. Let i be 9\/(-279)*a\/1. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 5*c - 32 = 0, -s + 10*c - 7*c - 8 = 0. Let o be 16\/3*(-4 - s\/8). Do o and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*o - o**3 - o**4 + 121*o**2 - 6*o - 125*o**2 + 3 + 1 - 3*o in the form f*o + v*o**2 + r*o**4 + n + q*o**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -1. Let g = 2103 + -10513\/5. Which is the nearest to o?  (a) -1\/4  (b) -13  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -653331 divided by 653331\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 226525129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 161.888 - 0.388. Let k = c + -162. What is the second biggest value in -4, 4, k, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186a393 (base 12) in base 2?\nAnswer: 10011100001101110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ndac when four letters picked without replacement from qqqqndac.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + (-4 - (22 - 12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5 - ((-1)\/(-3))\/((-6)\/54). Let k be 2\/(-6) + (-1)\/(-1). Which is the closest to -0.1?  (a) 2\/5  (b) k  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 7 - ((-32 - -2) + -23 + 50)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-960)\/(-36))\/((-2)\/(-21)). Suppose -2*y + 105 = -0*y + x, 0 = -5*y + x + i. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1250695 is divided by 611.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8245 + -8245. Solve d = 13*q - 24*q + 44 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 - 6*z - 5. Let l be t(7). Suppose -4*u - l*w + 140 = 0, 2*u = -2*u + 2*w + 148. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 177949498 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 194575036?\nAnswer: 2, 29, 199, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1229 - -49151\/40. Let g be 770278\/36 - 88\/(-66). Let l = 21404 - g. Find the common denominator of l and n.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 5:25 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 4*d**2 - 49. What are the prime factors of a(8)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 + -61\/5. Let q = -16 - 6. Let o be -2*(2 + q\/12). Sort o, -4, v.\nAnswer: -4, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*i + 31*i = 42 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -5*k**3 + 2*k**2 + 2*k + 1. Let d be m(-1). Find the third derivative of -8*q**6 - 60 - 6*q**2 - 7*q**d + 60 wrt q.\nAnswer: -1800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -3*g**2 - 38*g + 7. Let d(h) = 3*h**2 + 34*h - 7. Let l(w) = -8*b(w) - 9*d(w). Let o(v) = -v**2 - v. Give l(r) - 4*o(r).\nAnswer: r**2 + 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4344646 (base 8) to base 14\nAnswer: 224b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 156*a - 3494. What is m(25)?\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 309 divide 7393111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 5*n - 58. Calculate the remainder when 23 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7015949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -17854, -35728, -53624, -71554, -89530?\n\"Answer: -2*z**3 + z**2 - 17863*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 383847427 to the nearest integer?\nAnswer: 19592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -713*o = -42*o - 18788. Solve -829*u + 836*u - o = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + f + 0)*(0*f + 0*f + f**2) + (-4 + 5*f + 4)*(-2*f**2 - 2*f**2 + 2*f**2) + 2*f**3 + 0 + 0.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -109\nAnswer: -4\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -7475 divided by -2211\nAnswer: 7475\/2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.06 - 0.06. What is the second smallest value in 5, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) -0.053  (b) -1\/5  (c) -2\/5  (d) 0.1418  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*c**4 + 439*c**2 - 2*c**3 - 854*c**2 - 2*c + 430*c**2 in the form f + j*c**3 + y*c**2 + n*c**4 + w*c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-48)\/(-6) + (1 - (4 - 2)). Is 37 a factor of y + -6 - (-6 + -291)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/(-2)*(-45180)\/12550?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.5 + -3. Let j = 0.09 + -1.09. Which is the second biggest value?  (a) i  (b) j  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/2))**(-7\/6)\/(a**7*a*a**1) assuming a is positive.\nAnswer: a**(-115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1091 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 104 and 158964.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -20, 2\/3, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1631.47121 + 1.\nAnswer: 1632.47121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 + 16*l**2 + l - 51. What is the tens digit of c(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 22 in 0.4, 10, -1, -151?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 54  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h**3*l*z + 3*h**2*l*z - 6*h**2 + 11*h*l + 5*l*z + z wrt h?\nAnswer: -12*h*l*z + 6*l*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of 110 - m**2 + 42 + 2*m**2 - 48*m + 3*m**2 - 7*m**4 - 5*m**2. What is the second derivative of n(o) wrt o?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -331\/3, -1\/4, -1, -1\/11, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 - 8*h**2 + 9*h - 6. Let y(c) = c**3 + 11*c**2 - 12*c + 1. Let o be y(-12). Suppose -4*m + 15 = 5*w, 2 = -2*w - 3*m + o. Give k(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 1.27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 3.05. Let i = 161.5507 + -159.4507. Do i and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254903 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by -605.\nAnswer: 12\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 837689177 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f - 492. Let l(v) be the first derivative of -v**2 - 743. Determine l(u(i)).\nAnswer: -4*i + 984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + -7. Let z be (-8)\/(-2) - (-7 - (-170)\/15). Let j = 0.6 - 0.2. What is the smallest value in w, 2\/7, j, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-12)\/(-8)*-1)\/(12\/(-4008))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/(-2))\/(-3)*2. Suppose -2*o = 3*u + g, -3*o + 8*o + 5*u = 0. Let q(c) = -o*c - c + c. Let f(w) = -w**2. Give q(f(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2546990 is divided by 222?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2673798?\nAnswer: 2, 3, 445633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**3 - a**3 + 0*a**3)*(-878*a - 832*a**2 - 855*a**2 - 1 + 1686*a**2).\nAnswer: a**5 + 878*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/9  (b) 2\/11  (c) -896\/3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 5*q - 31 = q, 0 = -q + 4. Suppose 0 = -p - 5, -5*m + h*p + 49 + 56 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 148 and 80.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 823140.\nAnswer: 2, 3, 5, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4\/15 - -2\/15. Let y = 5895 + -5890. Which is the closest to i?  (a) y  (b) -0.2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from aznhxnqh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 22584.298705 to 1 decimal place.\nAnswer: 22584.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -82 + 73. Let z be -5 - (50\/5 + -18). Which is the nearest to 1\/8?  (a) -2\/3  (b) z  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a microsecond in nanoseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 18.24206t?\nAnswer: 18242060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, c: 4, w: 3}. Give prob of picking 2 w and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 349 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 706872385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1072594 and 122.\nAnswer: 65428234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 276, -2 in ascending order.\nAnswer: -3, -2, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 154 + -114. Suppose -p*c = -42*c + 266. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 573 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -5*k**2 - 3*k - 3. Let h = 40 + -38. Let v(c) = 6*c**2 + 4*c + 4. Calculate h*v(r) + 3*l(r).\nAnswer: -3*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1111100311 (base 4) to base 11\nAnswer: -219429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 66.98281 * -0.011\nAnswer: -0.73681091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 111811343 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4537, 9156, 13763, 18352, 22917, 27452, 31951, 36408?\nAnswer: 40817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 - -14. Suppose 4*m + 3*j = 26, j + 0*j = -4*m + 22. Solve 2*b - b - m*v + a = 0, -3*v = -4*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of -5*k**3\/6 + 2*k. Suppose -l = -3*f + 7, 11*l - 6*l - 1 = -3*f. Let n be t(l). Solve n*z = -30 + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 22*d - 10)*(d**4 - 2 + 2) + (d**2 - d**2 - 3*d**2)*(4*d**3 - d**3 - 5*d**3) + 2*d**5 - d**3 + d**3 + 8*d**5 + d**5 - 4*d**5.\nAnswer: 35*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + z = 19, -q = z + 4*z - 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -155*q + 12. Let m(l) = 1274*l**2. Give f(m(r)).\nAnswer: -197470*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -5*i**2. Let w(r) = 107*r**2 - 7*r. Let c(f) = -74*f**2 + 5*f. Let b(y) = -7*c(y) - 5*w(y). Give b(p(u)).\nAnswer: -425*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -281519*l**2. Let x(z) = 782*z**2. Calculate -4*t(v) - 1441*x(v).\nAnswer: -786*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ysfgsofxssgf. What is prob of picking 1 y and 2 s?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 34613 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/22 - ((-392)\/(-77) + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 190?  (a) -2\/7  (b) 1\/6  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1206*r**2*u + 318*r*u**3 - 141*u**3 + u**2 + 520*u with respect to r.\nAnswer: -2412*r*u + 318*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2*d**2 + 3*d + 1. Suppose -4*l - q = -11, -14 - 14 = -2*l + 4*q. Let k = -3 - -15. Suppose -5*f + a + 14 = -1, l*f - 3*a - k = 0. Determine z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (200 - 299 + 177)*(2*u - 2*u + 2*u).\nAnswer: 156*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -2*u - 220, u = 2*g - 2*u - 77. Suppose g = 2*l + 3*b, -6*l + 2*l = -b - 92. Solve -5*c = k + 3 - l, -5*k - 40 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -4. Suppose -4*g + 4*i = 8, 4*i = -7*g + s*g - 22. Let b(u) = u + 9. What is the units digit of b(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 20*f**2 - 604*f + 137. Calculate b(30).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (-2 + (6 - 3) - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**5 + 2202*t**4 - 598304*t**3 - 4314552*t**2 + 4910656*t = 0 for t.\nAnswer: -8, 0, 1, 554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 18 = -4*g + 3*u, 4*g - 5*u = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -11*w + 13. Let t(m) = -5*m + 7. Let y = 1395 + -1406. Give y*t(c) + 6*f(c).\nAnswer: -11*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1608\/3 - (-6 + 2). Let y be d\/975 + 2\/(-13). Which is the closest to y?  (a) -5  (b) 0.02  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d - 1. Let j be o(5). Let w = j - -10. Let q be 0 + (-3)\/w - -3. Is 6 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - 5*l - 6. Let s be z(5). Let c(p) = 2. Let f(h) = 7*h - 16. Let o(j) = -4*c(j) - f(j). What is the remainder when o(s) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54912 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 145*u + 2 + 146*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 132 - 686. Let y = s - -50. Let o = y - -503.999757. Round o to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1397, 0.9, 4\/7 in increasing order.\nAnswer: -1397, 4\/7, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*n + 5*k + 1, 9 = 3*k. Let o = 54 + -30. Does 19 divide (n - o)*3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -22 + (0 + -22 - (-34 + 71 + -53))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 19810160 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 53701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -15 + 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n**2 + n + 2. Let b(g) = -10*g**2 - 1. Let m be b(-1). Let o(c) = -23*c**2 + 12*c**2 + 27*c**2 + 4*c + 10. Calculate m*w(f) + 2*o(f).\nAnswer: -f**2 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 201761*m - 734*m**2 - 201761*m + 302*m**2 as v + s*m**2 + a*m and give s.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1001075, -2001651, -3002227, -4002803, -5003379?\nAnswer: -6003955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 2 o, and 1 x when four letters picked without replacement from {e: 1, o: 7, x: 1, s: 3, z: 4}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89827133.\nAnswer: 11, 17, 43669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-51)\/(-17))\/(15\/24320). Calculate the highest common divisor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.06438 + 75.06438. Sort m, 0.8, -5, 2 in descending order.\nAnswer: m, 2, 0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8031778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -32 + 52. Suppose 6*a = a - j. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 551466116 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.33?  (a) 37\/7  (b) 2\/13  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -12566590 rounded to the nearest one hundred thousand?\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.6241537m?\nAnswer: 624153700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 4*j + 4694 + 2327, -3*j - 4212 = -3*f. Let w = f - 21083\/15. Let r = -6\/5 - w. Sort -0.1, -5, r.\nAnswer: -5, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 158584*m + 61487.\nAnswer: 158584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 g, 1 f, and 1 k when four letters picked without replacement from kkwwfkkwkggkkfk?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2766*j + 53. Let m be 100\/250*30\/4. Is t(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33 - -28) + 2 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-28)\/15 + -4*3\/90. Let j(x) = -x - 1. Let y(v) = -6*v - 3. Let c(u) = 3*j(u) - y(u). Let b(l) = l + 0*l + 9*l. Give r*b(w) + 7*c(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9272 and 34434256?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mozm when four letters picked without replacement from omzzzozmmmz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141 = j - 315. Suppose -3*k - j = -11*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {o: 1, k: 1, r: 1, m: 2, u: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-2)*2\/4. Find the common denominator of (2 + (-245)\/(-40))*6\/(-15) and (-333)\/48 - b - -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 2)\/(15\/6 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 6, -5, 4, 44, -1332, 2 in descending order.\nAnswer: 44, 6, 4, 2, -3, -5, -1332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*g**3 + 96*g - 96*g.\nAnswer: -69*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/(-29)*(-320015)\/(-2207).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1261709224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.5352 and -15?\nAnswer: 15.5352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -54609984 divided by 72?\nAnswer: -758472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -42, -90, -138?\n\"Answer: -48*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 11710.\nAnswer: 35130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 2*u - 20, 3*u - 10 = 2*u - 2*m. What is the common denominator of ((-584)\/(-60))\/(8\/u) and 41\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t**3 - 23*t**2 - 6*t + 29. Let k be f(13). Let g = 926 - k. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19777231.2949 + -2.3.\nAnswer: -19777233.5949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 18*r**2 + 6*r + 6. Let f(u) = -u**2 + u + 1. Calculate -a(z) + 6*f(z).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -710*m = 2084*m + 72644 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -683, -0.3?\nAnswer: -683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 4 = 0, -7*j - 1 = -3*s - 11*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 443\/122?\nAnswer: 443\/122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 26229 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dssdssd. What is prob of sequence dd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 - 8*l + 18. Let j(s) = 3*s + 15. Let y be j(-7). What are the prime factors of m(y)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.077 and -1008.\nAnswer: 77.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/7*(-1)\/(-6)*4. Let y(r) = -r**2 - 4*r - 2. Let g be y(-3). Which is greater: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that v**2\/3 - 14*v\/3 - 264 = 0.\nAnswer: -22, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10291882.\nAnswer: 2, 19, 199, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.97027582 rounded to 2 decimal places?\nAnswer: 1.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -187 (base 10) in base 12?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2 + 1 - (-8 + 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*h**3 + 87761*h**2 - 86*h + 42803 wrt h.\nAnswer: -72*h + 175522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4441, 5539, 6637?\n\"Answer: 1098*y + 3343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ffxwwwoffofowofow.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 382010361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13666 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4a47556 (base 11) to base 15.\nAnswer: -b821d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 14 = -5*a - 2*h, 4*a + 4*h = 16. Suppose 0*l - 3*l - 9 = -a*d, -15 = -5*d. Factor -2\/5*y**3 - 2\/5*y**2 + l*y + 0.\nAnswer: -2*y**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1347, -1348, -1357, -1380, -1423, -1492, -1593, -1732?\nAnswer: -1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -14818482533229 take away -27?\nAnswer: -14818482533202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21062, -84232, -189520, -336926, -526450, -758092, -1031852?\nAnswer: -1347730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 - (2\/(-1))\/14. Let h = -5\/41 + -119\/369. What is the nearest to -3\/2 in 2\/3, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 4.6. Let a = 80 - 79. Sort a, t, 0.2 in increasing order.\nAnswer: t, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/((-210)\/225))\/(-30*15\/(-525))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**2 + 20*z - 7. Is u(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3170 + 3170 + 14*s**2 in the form t*s**2 + l*s + p and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.2415 + 0.0585. Which is the third biggest value?  (a) u  (b) 2\/23  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of u**6\/24 + u**5\/60 + u**4\/12 + u**3\/3 - 661*u**2 - 2. Let r(o) = -6*o**3 - o**2 - 2*o - 1. Give 2*q(v) + 3*r(v).\nAnswer: -8*v**3 - v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -38*l*w**2*y**3 - 126727*l*w**2 - l*w*y + 26*l*w + 3*w**2*y**2 - 44242*y**3 wrt w.\nAnswer: -76*l*y**3 - 253454*l + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11931 and 1455?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 233534519796003.30000085 + -233534508367861. Let t = d + -11428142. Let u = -0.3 + t. What is u rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -1\/25507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of 87247438 and -0.1.\nAnswer: 87247437.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 109194096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -m**2\/5 - 552339*m\/5 - 1104674\/5 = 0.\nAnswer: -552337, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 4*y**2 - 5*y + 1. Let v = 9 + -14. Let r be b(v). Let i be (4\/(-20) - r)\/(2\/(-10)). Solve -4*m + i = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbbbbjbbbbbbbbbbj. What is prob of picking 2 j and 2 b?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 127, 5, -5 in descending order.\nAnswer: 127, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 5*s - 21. Let c = s - -39. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46894 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -454  (b) 2  (c) -2\/19  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p**2 - 5*p**2 - 4*p - p**2 + 2*p**2 - p**3 - 10. Determine c(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20565252 (base 7) in base 15?\nAnswer: -247b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, k: 2, v: 2, a: 1, h: 1, r: 3}. Give prob of picking 1 h, 1 r, and 2 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 16 = y. Suppose y*n + 3*n - 413 = 0. Suppose 4*c + 11 - n = 0. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6410, -6411, -6412, -6413, -6414, -6415?\nAnswer: -6416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122 (base 3) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -18591, -18624, -18681, -18762?\n\"Answer: -12*b**2 + 3*b - 18582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1230?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 19*q**2 - 22*q**2 + 11*q**2 + (3*q + q - 5*q)*(q + 4*q - 3*q) - q**2 + 24 + 13 + 4.\nAnswer: 5*q**2 + 41","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -9.7. Which is the third smallest value?  (a) -3  (b) -2\/11  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c19ce3 - 8?\nAnswer: -c19ceb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.3, -0.161, 1\/6, -340\/7, 2, -3?\nAnswer: -340\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1567495 is divided by 813?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 6*p. Let b(k) = 7*k**2 - 15*k - 27791. What is j(b(c))?\nAnswer: 42*c**2 - 90*c - 166746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -410 - -436. Solve u*r - 31*r = 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 + 4*a + 3. Let u be j(-2). Let c = u - -3. Suppose -c*q - 6 = 0, 0 = -x + 2*q - 2 + 9. Solve -3*h - 5*w = -x, h + w = 2*w - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 divided by -114875?\nAnswer: -59\/114875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 953084 and 14772802?\nAnswer: 29545604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.9, -38, 0.4, 1, -118\/3 in ascending order.\nAnswer: -118\/3, -38, 0.4, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.728216 years in months?\nAnswer: 32.738592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.3 - 0.1. Let y = -271\/42 + 37\/6. Let n = -0.1 - -0.1. Which is the nearest to y?  (a) h  (b) n  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 405\/(-37) + (-878)\/16243.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 0, -69, 1, 11\/63?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = u - 32. Let w = 31 + u. Solve 0 = -3*d + 15, -4*s + w = -0*s + 3*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 12, -3, -2\/3, 373?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 5) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 55*i - 57516405 - 1765513595. What is i rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2290302659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n**3 - 7*n**2 + 29*n + 61. Calculate s(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -9. Suppose 4*r - p = 53. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 36, 67, 118, 189, 280, 391, 522?\n\"Answer: 10*y**2 + y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 185*g**3 + 3032153*g - 3032153*g.\nAnswer: 185*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 38119 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5746 + -5766. What is the closest to -2.4 in -3, q, 1, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -143*y**3 + 2*y**2 + y + 3746 wrt y.\nAnswer: -429*y**2 + 4*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 3*w - 3 = 3*t, -4*t + w = -11. Let s = -144 - -210. Let j be 168\/s + 36\/(-66). Solve -5*p + 4 = -4*p + g, j*g = t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7518630 to the nearest integer?\nAnswer: 2742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-532)\/16)\/(-7) - 3\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -18 + 10. Suppose 0 = a - 2 - 1, 2*q + 2*a - r = 0. Let c(g) be the second derivative of 2*g**5\/5 - g**4\/12 + g**3\/3 - g**2\/2 + g. Give c(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/27*(7 + (-6)\/36*37).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1066415, 1066424, 1066435, 1066448, 1066463, 1066480?\nAnswer: 1066499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 PM and 3:07 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -6*b - 43\/6*b**3 + 0 - 21\/2*b**2 - 1\/6*b**4. Let p be v(-21). Solve 5*o + 0*o + 20 = p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (22332\/8)\/((-3)\/(-4)).\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 445942?\nAnswer: 2, 7, 53, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -191523 or -191522?\nAnswer: -191523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 13. Let m = 10.74 + -11.14. What is the smallest value in -5, m, 0, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -71416078.29 to the nearest 100000.\nAnswer: -71400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 4*q. Let k(d) = d**2 + 370*d - 370*d. What is k(i(s))?\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 12:03 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, x: 3}. What is prob of picking 1 v and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 + 7*u**2 + 7*u - 3. Let l(g) = g**3 + 7*g**2 + 8*g - 2. Let n(i) = 2*l(i) - 3*o(i). Give n(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 PM and 11:44 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -188307 = 278*v + 2711*v for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1665 and 1065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.24142t in nanograms?\nAnswer: 31241420000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 + x - 2. Let i be 2\/(-4) + (25\/10 - 2). Let h be r(i). Which is the closest to 0.11?  (a) h  (b) -2\/9  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/480 and 49\/1022960.\nAnswer: 6137760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.537 - -0.117. Let g = s + 6.42. Let x(r) = -r - 3. Let u be x(-8). Which is the fourth biggest value?  (a) u  (b) -1  (c) g  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of -q**8\/1008 + 23*q**7\/315 - 131*q**6\/60 + 299*q**5\/9 - 18421*q**4\/72 + 2197*q**3\/3 - q**2 + 197*q. What is u in l(u) = 0?\nAnswer: 1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.245 - -5.47. Round t to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 e when three letters picked without replacement from ffelkoknnnk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrqtqjtqqqqrrq. What is prob of sequence tqjt?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 AM and 8:00 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 - 39*v**2 - 74*v**2 - 16 in the form d*v + j*v**2 + g and give j.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 31, 85, 139?\n\"Answer: 54*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**2 + 2*q - q + 3*q**2)*(-676 - 2461*q**3 + 1349 - 673).\nAnswer: -2461*q**5 - 2461*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 38*r**2 - 44 + 3*r - 91*r**2 + 62*r**2 wrt r.\nAnswer: 18*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-0.18.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*s + 1. Let p be -5 + (2 + -1)*s. Let z = 10 + p. Solve -z = -3*f - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 AM and 10:30 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 18 + -14 - (3 - 1). Suppose -d*p = -p - 102. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 11*k**2 + 11*k - 5. Let p(w) = -6*w**2 - 5*w + 3. Let l(s) = 4*c(s) + 7*p(s). List the prime factors of l(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, r: 5, t: 3, d: 1, q: 6}. Give prob of sequence do.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8793 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 27066003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)\/sqrt(6))**2*-5 + (sqrt(1216)*-1)**2.\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 83 + -191\/2. What is the common denominator of -51\/47 and y?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -293 = -4*q - 57. What are the prime factors of q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j - 22. Let i(y) = 3*y + 4. Let q be i(-4). Let v be 0\/(((-16)\/20)\/(q\/(-20))). Determine f(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -9*d**2 + 33*d + 144. Let k(y) = 10*y**2 - 35*y - 146. Let n(j) = 7*c(j) + 6*k(j). Solve n(a) = 0.\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11749.96431 plus -31.302?\nAnswer: -11781.26631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16 and 368.\nAnswer: 5888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -5, -36, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*i + 194*i + 0 - 71*i + 1 - 55*i.\nAnswer: 18*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 22?  (a) 2\/9  (b) 4  (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.8 take away -10424?\nAnswer: 10421.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -484.84 + 477. Let t = v + -0.16. Which is the third biggest value?  (a) 2\/11  (b) t  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.444 + 0.056. Let h(k) = -k**3 - 4*k**2 - 3*k - 3. Let x be h(-3). Sort t, -1\/4, x in decreasing order.\nAnswer: t, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 7598827124 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 188 = 2*s - 12*n, 2*s - 8*n = -4*n - 88 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 492647507*b - 492647507*b - 3*b**2 + b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/(-22)*4*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6\/5 - 3*k**2 + 21\/5*k**4 - 27\/5*k**3 + 27\/5*k = 0 for k.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28506772981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + 0. Suppose -k + 7 = 3*q, 5*q = -v*k + 2*q + 35. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*p + 1045 = -117*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(2 + -3 + 5 + -7). Sort -5, -2, z, 59 in descending order.\nAnswer: 59, z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 74 = -d + 7*d, -3*r - 33 = -3*r + 3*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/280 and 71\/2829480.\nAnswer: 19806360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**42*h)\/((h\/h**(1\/11))\/h)*(h*h*h**(-1\/8))\/(h*h*h**11) assuming h is positive.\nAnswer: h**(2901\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4)\/((153\/(-90))\/17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 12:01 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 16a902 (base 11) in base 7?\nAnswer: 2144430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -53.7 + 53.700227. What is i rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 22, 71, 154, 271?\n\"Answer: 17*k**2 - 2*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 384619.79 rounded to the nearest 100?\nAnswer: 384600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-5) + (-39)\/(-15). Let v be 1 + (-3)\/(-3) + n. What is the third derivative of 2*h - 2*h + 2*h**2 + 2*h**v wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of a*i**2*n**2 - 409067785*a*i**2*n - 1992799*i**2 - 21*i*n**2 wrt a?\nAnswer: i**2*n**2 - 409067785*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*q**6 - 1577109*q**5 + 5354*q**2 - 6*q - 3.\nAnswer: 240*q**3 - 94626540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -96*t - 51. What are the prime factors of i(-7)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -4*r**4 + r**3 + 5*r + 5. Let v(b) = 6*b**4 - b**3 - 7*b - 7. Let h be (-8)\/(-20) + (-27)\/5. Let k(o) = h*v(o) - 7*u(o). Factor k(s).\nAnswer: -2*s**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 25*w**2 + 21*w + 426. Let u be n(26). What is the highest common factor of u and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 8*w**2 + 1 - 2*w**3 + 5*w + 4*w**3 - 15*w**3. Suppose 9*s + 25 = 4*s. Is k(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -366, -2592, -6308, -11520, -18234, -26456?\nAnswer: -36192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 8*z**3 + 28*z**2 + 26*z + 25. What are the prime factors of g(7)?\nAnswer: 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2585 = 3640*d + 2358 + 2337 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 8:43 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 4 - 8\/3*d + 4\/9*d**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 + 16 = -4*y. Suppose -402 = -y*z - 150. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 AM and 4:07 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*k**3 + 25*k**2*x**3 + 7*k*x**3 - 2*k*x**2 - 2*k - 22*x**2 wrt k?\nAnswer: -18*k + 50*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -3 - 2 - 14*w + 21*w + 2*w**2. Let c(q) = -3*q**2 - 14*q + 11. Let l(g) = 3*c(g) + 5*o(g). Suppose -4*y - 1 = i, 4*y = -2 - 6. Determine l(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*k**3 + 8*k**3 + 256*k**2 + 3*k**3 + 3*k**3.\nAnswer: k**3 + 256*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2*y**2 - 84*y. Let n(x) be the second derivative of -x**3 - 730*x. Give n(b(u)).\nAnswer: 12*u**2 + 504*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*d + 89 - 19 = 0. Solve -d*t = -2*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 8 = -3*n. Let s(j) = 2*j**2 - 3*j**2 - j**3 + 5*j**2 - 4 + 2*j. What are the prime factors of s(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -10*s**2. Suppose -4*h = h - 75. Let g(u) = -5*u**2. Let a(d) = 36*d**2. Let n(z) = h*g(z) + 2*a(z). What is n(v(p))?\nAnswer: -300*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, 152, 557, 1342, 2633, 4556?\nAnswer: 7237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -1 - 24*c - 7 + 4 + 3. Let z(r) = 2*r. What is d(z(f))?\nAnswer: -48*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h - 9 - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/531310 and 113\/212524.\nAnswer: 1062620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*a + f, 6*f - 23 = -5*a + 2*f. Solve -5*m = -3*y + 2, 3*y - 2 = a*m + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 22*l = -23*l - 8 - 10, 472 = 67*a + l for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.328634l in millilitres?\nAnswer: 5328.634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 145013 (base 11) to base 5\nAnswer: 24220114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - 2*c**2 - 2*c - 1. Let l be x(-1). Let z = 3 - l. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 5:07 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 5*t - 112. Let w be j(27). What is the greatest common factor of 529 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-384)\/32*2*(-4)\/(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + 6*o**2 - 5*o - 7. Let a be r(-6). Suppose 0 = -2*m + a - 7. What is the units digit of m\/(-6)*(-9)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/51)*a**(-4) assuming a is positive.\nAnswer: a**(-202\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.69, 1\/10, 5, 1\/14, 4?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 - 21.99. Which is smaller: 10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 39*x + 2*x**2 + 0*x**2 + 4 - 29*x in the form m*x**2 + b + n*x and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 4:47 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.051  (b) -3  (c) -29\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4.4?  (a) -12  (b) -70  (c) -0.3  (d) -4\/5  (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 79026185 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**2 - 1218 + 1218.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-15)*(-6)\/4)\/(3954\/345975).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 44 = -144. Suppose 140 = 4*a + 4*l, -j = -2*a - l + 43. Let k = a - 15. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 - 4*g - 5. Let k be z(6). Suppose k*a = 4*a + 63. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(175) + -1)*1 + (sqrt(3087) - sqrt(3087)*-2))**2.\nAnswer: 272*sqrt(7) + 32372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in sixty-two sevenths of a week?\nAnswer: 1488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 69160 and 17860?\nAnswer: 3250520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (4 - 3 - (1 - -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -71a (base 15) to base 4\nAnswer: -121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -20624 * -1998\nAnswer: 41206752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6310?\nAnswer: 2, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 324 - -4414?\nAnswer: 10243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of d**3*f**2 - d**3 - 27*d**2*n + 30*f**2*n - 27*f**2 wrt d?\nAnswer: 3*d**2*f**2 - 3*d**2 - 54*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k + 0*k**4 + 4*k**4 + 5 - 3 to the form j + d*k**2 + l*k**4 + m*k**3 + y*k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4579 rounded to 2 dps?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 178904 divided by -30.\nAnswer: -89452\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -5*f. Let c(g) = g**2 - 9*g + 6. Let u be c(6). What is the smallest common multiple of u\/8 - 14\/(-4) and s(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3600 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 5*x + 93597, -23402 = -i + 122*x - 126*x. What are the prime factors of i?\nAnswer: 2, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -128*v + 49*v - 16 + 32*v + 49*v.\nAnswer: 2*v - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, n: 1, k: 1, x: 1}. Give prob of sequence xl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15.3 + -10.3. What is the closest to 1 in -2, -10, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5570 by 51.\nAnswer: -5570\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + 2*y + 3*y)*(4 - 1 - 4) + 12*y - 5*y - 14*y + 0*y - 5*y + 3*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v + 2. Let c = 6 + -9. Let s be x(c). Calculate the highest common divisor of 35 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3998011476 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -5*w - 13. Give f(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 + 22. Let i = c + -4. Find the second derivative of -3*n - n**2 + 7*n**i - 3*n**2 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2*2933\/(-1260) - 6\/10 and 19\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(((-35)\/(-15))\/(-7)) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.40033895 rounded to 2 decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -6340b (base 12) to base 8\nAnswer: -376213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of 5*a**2\/2 + 2. Let b(v) = 18*v**2 - 6*v + 6. Let o(n) = -72*n**2 + 27*n - 27. Let d(w) = -9*b(w) - 2*o(w). Calculate l(d(g)).\nAnswer: -90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -10*c**2 + 4*c - 60. Let j(p) = -3*p**2 + p - 20. Let w(u) = -7*j(u) + 2*x(u). Give w(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -113.46 - -0.46. Let v = i - -108. Which is smaller: 0.3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = f + 34. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 s when four letters picked without replacement from ssssjsssjsssjsssjss.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.6268481 seconds to hours.\nAnswer: 0.00045190225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -33\/8, -5, -0.39, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46043.88cm to micrometers.\nAnswer: 460438800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.4 + -0.41. Let c = p - -0.1. Let r = 0.01 + c. Do r and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 - 5*l**2 + l + 7. Let i be j(-5). Suppose 3*n = -0*g - i*g + 3, -11 = -4*g - 5*n. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -16323.34, -0.1, -3.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -4 + (sqrt(343) + -3*(sqrt(343) + -1) - (-4 + 1*sqrt(343) + sqrt(343)) - 2*(4 + sqrt(343)*-2)))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23808 divided by -5.\nAnswer: -23808\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45872302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -274*u + 300 = 1274 + 36 + 1456 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2348 is divided by 219.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 + 392*g - 12109. Give i(31).\nAnswer: 1004","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 957.104 litres in millilitres?\nAnswer: 957104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (45\/(-6))\/((-1)\/(-2)). Calculate the remainder when 16 is divided by (18\/(-5))\/(6\/k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 1 = 1. Suppose 5*o = 4*l + 12, -3*l - 2*l - 3*o + 22 = 0. Suppose -2*s + l*z + 3 + 3 = 0, -z = -2. Solve s*a - b*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s + 4. Suppose -3*a + 2 + 94 = 0. Suppose 0 = -5*d + a + 68. Calculate the lowest common multiple of f(0) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14789144 by 4.\nAnswer: 3697286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -699 - -1170. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -70, -159, -284, -445, -642?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 8*g**2 - 5*g + 35. Let p(k) = -4*k**2 + 2*k - 18. Let b(f) = 3*j(f) + 7*p(f). What is the second derivative of b(a) wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -7, 635 in decreasing order.\nAnswer: 635, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2347, 2355, 2369, 2389, 2415, 2447, 2485?\nAnswer: 2529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**4 + 0*k**4 + 0*k**4 + (-31*k**2 - 17*k**2 + 10*k**2)*(-k**2 - k**2 + 4*k**2) + 5*k**4 - k**4 - 2*k**4.\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2567284t in milligrams?\nAnswer: 256728400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, -3, 3, 23, 63?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 + 26729.\nAnswer: 26726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-18)\/45 + 36\/15. Suppose -48 = -v + 4*z, 5*z + 40 + 50 = j*v. Calculate the remainder when v is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j + 7 + 7 - 31*j**2 + 34.\nAnswer: -31*j**2 + j + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4615.78l in millilitres?\nAnswer: 4615780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 96\/(-40)*(-50)\/(-20). Which is the closest to 0.3?  (a) 5  (b) s  (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j. Let k(x) = 19*x - 9. Let n(y) = k(y) - 4*m(y). Let g be n(-3). Calculate the remainder when 27 is divided by 11\/(-44) + g\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 145420 and 2750.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/(-4))\/((-9)\/24). Let j = c + 18. What is the lowest common multiple of 12 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20525, -27677, -34829, -41981, -49133?\nAnswer: -56285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 5) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -3*h - 2. Let p(d) = -9*d + 11*d - 5 - 9*d. Calculate -6*p(l) + 15*w(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-17)\/(-4) - 4)*124 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -329342415 divided by 757109?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a**2 - a. Let l be f(-1). Suppose -2*n = l*w - 326 - 102, w - 88 = -n. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2869 - 1510. What are the prime factors of d?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**3 - 40*f**2 + 5*f + 158. What is v(-19)?\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 170633 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - -3) + 0 + -1 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6327*s + 7062 wrt s?\nAnswer: 6327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 289 + 65 = 0. Suppose -4*b = -m - 7 + 21, 2*b = -3*m. What is the lowest common multiple of q and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 98*d - 96*d - 2734, 4*r = -2*d + 2770. Calculate the highest common divisor of d and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110100 (base 2) to base 12\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) -0.1  (c) 1  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2324349 divided by 837.\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2582394 and 5164788.\nAnswer: 5164788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2*k**2 + 4*k**2 - 4*k**2. Let h(x) be the second derivative of -x**3\/3 + 12*x. Determine h(j(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 3:40 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -160*m**2 + 328 wrt m?\nAnswer: -320*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17966\/323 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13141.96s to microseconds.\nAnswer: 13141960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/2  (b) -39  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4940.499um to meters.\nAnswer: 0.004940499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wsn when three letters picked without replacement from {w: 3, n: 5, l: 1, s: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**3 - y**3 - 4*y**3 + (y**2 + 0 + 0)*(4*y - 2*y + 0*y))*(-17 + 7432*y**2 + 4*y - 7430*y**2 + 0*y).\nAnswer: -2*y**5 - 4*y**4 + 17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 806 = -d + 2*s, s = 3*d - 2423. Let y be 30\/45*(-12)\/d. Suppose -2 = -3*k + 1. Which is greater: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 3*t + 17 = 9, -45 = -4*w - t. Solve -2*y = w*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 230 divided by 155?\nAnswer: 46\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 - 4\/4 - 0. Which is greater: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1178 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4327272500 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -508128 - -1524406\/3. Solve -20\/3*j**3 + 92\/9*j**2 - 2\/9*j**5 + 2*j**4 - r*j + 2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -2*t. Let w = 49\/4 - 12. Factor t*z + 1\/4*z**2 + 0 - 1\/4*z**4 - 1\/4*z**3 + w*z**5.\nAnswer: z**2*(z - 1)**2*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -25282, -201945, -681464, -1615267, -3154782?\n\"Answer: -25238*g**3 + 3*g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 117447*0.3\nAnswer: 35234.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-6)*((q**(4\/7)\/q)\/q)\/q)\/((q\/(q*q**0)*q)\/q)**5)\/((q*q**(-5)*q**(-2\/3))\/(q**(-3)*q\/(q\/(q\/(q*q**1)*q*q))*q*q)) assuming q is positive.\nAnswer: q**(-79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 935 and 8417075.\nAnswer: 1573993025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 337532, 337508, 337484, 337460, 337436?\n\"Answer: -24*k + 337556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - p + 11 = 0, 6 = -5*n - 2*p + 19. Calculate the remainder when n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 469 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 125547\/5 - 251091\/10. Let x = -3 + 0. What is the nearest to -1 in -1, x, 4\/7, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2588317 by 390.\nAnswer: -2588317\/390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 5*p + 15. Let c be t(-2). Let f(n) = n**2 - 2*n. Let w be f(2). Suppose w = -4*g + 19 + 5. Is c at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.3, 2\/3, 0.04, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 179 - -522. Let g = t + -702. Which is the second smallest value?  (a) -0.3  (b) -30  (c) 0  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/7)\/(3*4\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 229*i**3 - 39*i**3 - 147*i**3 - 47*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 247*v - 3329. Calculate s(-13).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 40?  (a) -0.12  (b) 0.4  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9275 + 9273. Which is smaller: 520 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2132)\/197210*25\/20?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 7 = -12. Solve -k*z - 4 = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 4*k = -15 + 1, 19 = -4*w - k. Let n = 18 - 18.7. Which is the closest to 2\/7?  (a) n  (b) w  (c) 1  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.7 + -1.8. What is the closest to 1\/3 in o, 3, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 98 and 21350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 + 26 = -21*w - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 1\/5, 3, -3 in decreasing order.\nAnswer: 3, 1\/5, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3520 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -5*p + 5*w, 3*w - 45 - 20 = 10*p. Suppose -4*k = 4*o - 20, 3*o - 17 = 3*k - 2*o. Let d be -1*-1*(-2)\/2. Sort p, d, -4, k in decreasing order.\nAnswer: k, d, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4219674000 rounded to the nearest one million?\nAnswer: 4220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 + 1352 = 8*w. Suppose -2*j = 4*q - 150, -5*j + w = 5*q - q. Suppose 4*n = 5*k + 6*n - 14, 0 = 5*k - 5*n - q. Solve -3*c + 4 = -k*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 - 2*h**2 + 3*h + 4. Let x be r(-3). Suppose 0 = -g - 2*o + 7, -x*g + 4*o + 13 + 3 = 0. What is the units digit of (-32)\/(-6)*(8 - g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 28, 136, -0.6, -1\/4, 3?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k = -2*k + 16762. Let m = k - 845. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3804\/(-540) - 1 - -6 and 26\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6329.803 millennia in centuries?\nAnswer: 63298.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -12*s**3 - 265*s**2 - 21*s - 43. Give l(-22).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -145.1, -5, 4\/5, 2725?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 134504 + -45583. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -0 + 5. Let r = -3 - j. Does 18 divide r\/4*-4*14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 - 1 - (1347 - 1331)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 239 + -143. Suppose 74 + w = 10*q. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/703 - 31651\/11248. Let f be -6*(-1)\/((-6)\/4). Find the common denominator of r and (-137)\/f + 1\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n - 663. Let i(b) = b**2. Calculate x(i(p)).\nAnswer: 2*p**2 - 663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 158 and 1287779.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 34504901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1096 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -9 - 1*(-1 + 0). Let i be (0 - 1)\/(2\/c). Suppose -5*x + w + 59 = 0, -5 - 22 = -x + i*w. What is the remainder when 21 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 2. Let v be 2\/(-3) + (-8)\/24. Let k = v + 5. What is the remainder when k is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-4*sqrt(22))\/sqrt(2).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 266 = -238*h + 239*h. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -14*o**2 - 3*o. Let x(i) = -5*i**2 - i. Let b(u) = 6*m(u) - 17*x(u). Let v be b(5). Let n = 21 + -18. Solve -2*w - v = n*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((3 + (sqrt(891)*-1 + -2 + sqrt(891) - (-5 + sqrt(891) + -1)) + 4 + sqrt(891)*1 + -3)*-6)**2.\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -7*w - 4. Let l(o) = -13890*o + 13890*o + 3*o**2. Give r(l(t)).\nAnswer: -21*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.22877 - -0.77123. Let b = -1.4 - -1. Let r be 37\/(-30) + 4\/10. What is the nearest to 3 in b, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -101 + 293. Suppose -5*f = 7 - 67. Calculate the greatest common factor of h and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20+-571009\nAnswer: -571029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/5  (b) -0.5  (c) 0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {i: 1, r: 1, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/(-24)*10\/9. Suppose 20 = -v + 6*v. Let r(o) = -o**3 + 3*o**2 + 4*o + 2. Let h be r(v). Which is bigger: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16 + 16 + 6*i**3 + (-2 - i**2 + 2)*(37*i - 17*i + 29*i).\nAnswer: -43*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -5*p - 7*p + 16*p. Let i(c) = 5*c. Let z(x) = -4*i(x) + 6*j(x). Let y(l) = l**2. Determine y(z(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 156802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-1 - -1 - 5 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k**3 - 11*k**2 - 15*k - 4. What is the units digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*h*l**3*r - 2*h*l**2*r - 82*h*l + 2*h*r - 529*l**4*r + 3*l - 1 wrt l?\nAnswer: 24*h*l*r - 4*h*r - 6348*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1632\/(-1) - 38\/19. Let f = c + 2588. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3\/4 - 561*c**2\/2 - 1185*c\/4 + 5625.\nAnswer: 3*(c - 375)*(c - 4)*(c + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7080?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*p + 29 - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 122*w**2 + 6*w + 497. Let p be s(-122). Which is smaller: -229 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 10) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2714*r**3 - 57645067*r**2 + 57645067*r**2 + 253*r wrt r?\nAnswer: 16284*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 3\/2  (c) -762\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 2*i**3 - 128*i**2 - 129*i - 57. Calculate s(65).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 206057564 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2053 (base 8) in base 10?\nAnswer: -1067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -3*j + 60. Let s be b(14). Let u = s - 15. Let t be 2\/(u - 2) - (0 - 23). Solve 4*a = -0*a - m - 20, -2*m - t = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -7*h. Suppose 2*x + 4 = -2*x. Let k be t(x). Suppose -5*l + 125 = 5*r, -2*r - 128 = -k*r - 4*l. Solve 0 = -4*g - 20, 3*w - r = 5*g - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -4*p**3 - 2*p**2 + 9*p + 35. Is y(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 2*t = -27289, 5*t + 8278 = -2*z - 9900. What is the units digit of (z\/108)\/(1\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l - 1. Let y be i(11). Let c = -50053\/8 + 6264. Calculate the common denominator of c and (-141)\/240 + (-6)\/y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 52*n**2. Let s(j) = -463*j. Give s(p(w)).\nAnswer: -24076*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -90496*w + 90491*w - 45 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 199 a factor of 3754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fourty-seven quarters of a kilometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 8*d - 11*d = -272, 0 = -4*d - 16. Let n = x + 147. What is the greatest common factor of n and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 772029809?\nAnswer: 59, 13085251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*a**2 - a*i*p - 4*a*p**2 + 11*i*p**2 - 6 wrt a.\nAnswer: -8*a - i*p - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(2736)*-4 + (sqrt(2299)*-1)**2*1.\nAnswer: -192*sqrt(19) + 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*l + 4*l = -3321. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((630\/55)\/7)\/(4032\/(-1344)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -13142 (base 5) in base 13?\nAnswer: -627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2630811803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - 4*d - 2*d)*(4 - 4 + 4)*(2 - 2 - 2).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 14 = -4*d, -5*g - 101 = -5*d - 136 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -96572\nAnswer: -1\/13796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*j - 2722 - 2*j - 2719 + 8163 - 2721.\nAnswer: 8*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of 0 - 2\/3*x**3 + 0*x - 20*x**2 + 79\/4*x**4. Let r be i(-4). What is r rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of 55*u**3\/3 + 77*u**2\/2 - 10*u - 1. Differentiate g(f) wrt f.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3\/26, -2\/559, -0.28, -12, 2?\nAnswer: -2\/559","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 29*l**3*w + 388*l - 108134*w wrt l?\nAnswer: 87*l**2*w + 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7\/(-2) + -1)*(-4)\/6. Suppose 5*w - 15 = -3*c, -s*w = -0*w. Is c less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*v - 9. Let s = 36 + -18. Let n = s - 17. Which is the second biggest value?  (a) n  (b) 3\/8  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 6, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t + 5*t + t)*(t - t - 2*t**2) + (11 + 1 - 2)*(t - t + t**3).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 - 9*y - 4. Let w be n(-8). Suppose -p = w*j - 5*p, -3*p = 5*j. Suppose m - 8 + 3 = j. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -85115521*3\nAnswer: -255346563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 487979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**17*d*d)\/d)\/d**9*(((d*d*d\/(d\/((d**11\/d)\/d))*d*d)\/d)\/d)\/d**(-24) assuming d is positive.\nAnswer: d**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.048  (b) -0.2  (c) 7  (d) 2  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -960 - -957. Let m be t + (-591522)\/(-10) + 80\/100. What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 + 6. Let s(j) be the second derivative of j**5\/20 + j**4\/3 + j**3\/6 - 3*j**2\/2 - 2*j. Is s(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3732 and 3732.\nAnswer: 3732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3458 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - 7*i + 13. Let f be c(-9). Let d(p) = -p**3 - p**2 + 6*p - 6. Does 16 divide d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -60 + 63. Suppose -4*w - 20 = -x, 28*w + 20 = 2*x + 24*w. Suppose 3*a - 14 = a. Put -1, x, a, c in ascending order.\nAnswer: -1, x, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + 11*y**2 - 28*y - 22. Suppose -2*x + 16 + 4 = 0. Calculate the lowest common multiple of x and i(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20, 27, 46, 83, 144, 235?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2. Let c(n) = -5*n. Let a(x) be the first derivative of -81*x**2\/2 + 4. Let b(f) = 2*a(f) - 33*c(f). Calculate b(y(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*2\/9*(-25)\/(525\/(-63)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -71 + 33. Let i = o - -42. Suppose -w + 2*z - 6*z + 6 = 0, -2*z - 6 = -i*w. Sort 4, w, 7 in descending order.\nAnswer: 7, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2134, -4272, -6400, -8512, -10602, -12664, -14692?\nAnswer: -16680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 445 divide 101796420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - 3 = 4*b + 5*h, 2*h = -3*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 PM and 10:23 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, 9, 48, 119, 228, 381, 584, 843?\nAnswer: 1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 199899*b**2*p**2 - 1454*b**2*p - 6565539*p**2 + p - 1 wrt b.\nAnswer: 399798*b*p**2 - 2908*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -49 + 77. Suppose -9*z - 100 = -19*z. Calculate the remainder when c is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*i - 1. Let v = 12 - i. List the prime factors of (-395)\/v*(-1 + -2).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 + -13ac1a?\nAnswer: -13ac23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 57053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 34687193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14)\/(-8) - 22\/(-88). Solve -2*q - 22 = -3*q + 5*x, -20 = -p*q + 4*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-2) - -5 - 3. Let x be (-27 - -26)\/(f\/(-2)*-1). Sort 10, 1, x in ascending order.\nAnswer: x, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 153668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 3*r**2 + 8*r - 3. Let i(y) = 1. Let h(q) = -2*i(q) + u(q). Determine h(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttooooooootooooooo. What is prob of sequence otto?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**4 + w**4 - w**4)*(5 + 2 + 2)*(2 - 2 - 2).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21695?\nAnswer: 5, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of 3*m**5\/20 + 11*m**4\/4 + 16*m**3 + 42*m**2 + 4*m - 58. Factor o(g).\nAnswer: 3*(g + 2)**2*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7128.477 nanograms?\nAnswer: 0.000000007128477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-429)\/(-26))\/(2\/(-28)). Let z = -156 - d. What is the greatest common divisor of 30 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvav when four letters picked without replacement from {v: 7, a: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1568943 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1883147 months in centuries?\nAnswer: 0.00099026225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of -d**5\/75 - 11*d**4\/60 - d**3 - 39*d**2 - 2*d. Factor m(o).\nAnswer: -2*(o + 3)*(2*o + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 611*b**2 - 2*b + 3. Does 34 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 17*g**3*m*z**2 - 74*g**3*m*z + 2*g**3*z**3 - 9*g**2*m*z**2 - 21*g**2*z**3 - 10*g*m*z - m*z**3 wrt g.\nAnswer: 102*m*z**2 - 444*m*z + 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14?  (a) 5  (b) 2  (c) 2\/13  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-11)*f)\/f)\/(f*(f*f*f\/f**(-7\/4))\/f) assuming f is positive.\nAnswer: f**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/280 and 37\/28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*i + 17178 = 449*i for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -5, -193, 0.5, 0.11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 82 - 78. Let m be o\/(-6) - (-602)\/21. Calculate the highest common factor of m and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 13 - -6822755?\nAnswer: 6822768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 5 - 5 = -3*c, 5*c + 40 = 3*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19402 - 19232. Which is the third smallest value?  (a) -1\/6  (b) j  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - j - 20, 0 = -5*u - 0*u + 5*j - 20. Let m(v) = -v**3 - 5*v**2 + 7*v + 8. Let l be m(u). Solve -z - 3 = -l*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 31*z + 3. Let q be g(0). Let y(k) be the first derivative of 8*k - q - 2\/3*k**3 + 4*k**2 - 1\/2*k**4. Suppose y(j) = 0. What is j?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -521 + 521. Let g = -3 + 2.9. Let v = g - -0.12. Which is the closest to t?  (a) 1\/4  (b) 4  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - (4 + (4 - -1))) + 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.07, 1163, 0.5 in ascending order.\nAnswer: -0.07, 0.5, 1163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -867\/1815830 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -3*w**3 - 17*w**2 + 17*w + 3. Let l(s) = -s**3 - 9*s**2 + 9*s + 1. Let q(c) = -5*l(c) + 3*z(c). Factor q(k).\nAnswer: -2*(k - 1)*(k + 2)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (176\/132)\/(24\/162).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of -n**6\/120 + n**5\/12 - n**4\/8 - n**3\/2 - n**2\/2 + 3*n. Let k(c) be the first derivative of g(c). Give k(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*h = 67 + 33. Is (20317\/55)\/((-1)\/h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 16800*o**3 - o - 5. Suppose 0 = 2*v - v. Suppose 0 = -i - v - 5. Let b be k(i). Round b to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v - 55*v - 19*v - 25*v.\nAnswer: -100*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14409\/91 or 158?\nAnswer: 14409\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 31172768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v*v*v\/(v**(3\/2)*v)))\/(v\/(v\/(v*v**(-3)))))\/((v\/v**(-1\/2))\/v)**(3\/25))**5 assuming v is positive.\nAnswer: v**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 9*l + 21. Let d be w(6). Let g(z) = -z**d + 49*z - 14*z - 22*z + 6*z**2 + 2 - 19*z. Determine g(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18a1 (base 12) to base 3.\nAnswer: 11010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 take away 122.48?\nAnswer: -119.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*v + 3 + v**4 - 6 + 9*v - 2*v + 0*v to n*v**4 + p*v + z*v**2 + t*v**3 + c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-5 + 2 + 1)*(-5 + 1 + 2) - 1 - 1 + 0 + (13 + 10 + 3)*(0 - 2 + 4))*(54 - 54 + 4*z) as o + i*z and give i.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + 3)\/(10\/65). Let g = -8 + j. What is z in -19*z**2 + 6*z - 22*z**4 + 30*z**3 - 2*z + z**2 + 0*z + 6*z**g = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(7*((-10)\/(-35))\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -147*l - 1936. What is n(-13)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (4\/(-3))\/(((-20)\/50)\/((-15363)\/(-5)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 39642 - -187291.\nAnswer: 226933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -55*f**2 - 2*f**3 + 28*f + 2*f**4 - 3*f + 163 - 333 + 53*f**2 + 164 to r*f**2 + n*f**4 + m*f**3 + i + w*f and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 0 = -9*m. Suppose u + m*t - 25 = -5*t, -27 = -3*u - 3*t. Solve -u*b - 23 - 2 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -6*a**2 + 3*a - 2. What is n(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b - 1. Let x be a(7). Let c = -172 + 175. Suppose 0 = -2*y - 4*f + 2*f, -4*y - c*f = -2. Solve 4*h - h + x = 0, 0 = 4*v + y*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 24*f - 26. Let a be t(9). Suppose 0 = -a*j + 113*j - 24116. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 38 = 28*k + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*f*p**2*y + 311*f*p + 101*f + 6775*p**3*y - 2*p**3 + 2*y wrt y.\nAnswer: -6*f*p**2 + 6775*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12105891739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.863867 minus 4?\nAnswer: 34.863867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 - 9196594988601.\nAnswer: -9196594988578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15.13*0.1.\nAnswer: 1.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 55 - -452a?\nAnswer: 4582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/20*(4 + 0). Let o = -7 + 5. Let a be o\/((-2 - 0)*1). Put a, 4, h in ascending order.\nAnswer: h, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d + 33 = 2*d - 4*w, 5*w = 3*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (72\/(-720))\/(2\/(-8))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 17*v**3 + 2*v**2 + 6*v - 7. Give d(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of f**7\/6 - 11*f**6\/150 - 11*f**5\/20 + 7*f**4\/60 + 2*f**3\/3 + 2*f**2\/5 - 1141*f. Suppose s(o) = 0. What is o?\nAnswer: -1, -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {x: 3, l: 2, r: 1, y: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -841\/77 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -3*w**2\/4 + 2211*w\/2 + 22261545\/4 = 0.\nAnswer: -2085, 3559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121*q + 6 - 7 + 1.\nAnswer: 121*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -b**4 + 16*b**2 - 2*b**3 + 2*b**3 - 2740 + 2811 wrt b?\nAnswer: -4*b**3 + 32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20117*d - d**3 - 2*d**3 + 40235*d - 20118*d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/5 + 104138*x**2\/5 - 1368667824*x\/5 + 339639578784\/5.\nAnswer: -2*(x - 25908)**2*(x - 253)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129*v - 151*v + 1144 = 0. Calculate the remainder when 237 is divided by v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21166 + 100?\nAnswer: -21066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 992376424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1236\/7 + 176. Let a = 27.1 - 27. Sort a, -2, h in decreasing order.\nAnswer: a, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 168 and 30126072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 - 14*a**2 + 27*a + 76. Give j(-15).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -5*m**3 - 2*m**2 - 6*m + 8. Let h(v) = -14*v**3 - 5*v**2 - 17*v + 23. Let a(d) = -6*h(d) + 17*i(d). Suppose -82*j - 148 = 180. Calculate a(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -3 - 484*-47 - (4 + -17 + 10)?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 5*m + a - 2, -2*m + 2 = -4*a. Let f = 7 - -4. Differentiate -m + 10*h + 2 + 0 - f*h with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 3:33 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 4*f**2 + 6*f. Let i(c) = -c - 19. Let b be i(-13). Is 20 a factor of j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 66 - 68. Let y = -2424 + 2614.9. Let w = y + -191. Which is the second biggest value?  (a) l  (b) 79  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -5*g + 626, 2*g + 128 = 3*g - 2*v. Let t = 708 + g. What is the highest common divisor of t and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 43 + -22. Suppose 80 = 5*h + 4*p, -2*h - 3*h + 2*p + 50 = 0. What is the remainder when b is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41797041 divided by -292287?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122*k - 119 + 3809 + 635 = -1409 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-270)\/1665 + (-6210)\/(-50616)?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 4*a**3 + 1. Let u(p) = -p**3 - 5*p - 79. Determine -m(h) + u(h).\nAnswer: -5*h**3 - 5*h - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of c**2 - 5*c**2 + 4 + 5*c**2 - 13*c**2 wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1261, -259, 0.8, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*l + 62*l = 8594 - 3514. Solve 0 = -17*a + 423 - l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of z**4\/4 - 5*z**3\/3 + 4*z**2 - 8*z + 3167. Give t(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 240090 (base 10) to base 15.\nAnswer: 4b210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -772 - -844. Solve 6*p - v = -12*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3363, -171, -25 in decreasing order.\nAnswer: 3363, 5, -25, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35851 is divided by 182.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -11*g**3 - 7*g**2 + 9*g - 9. Let o(v) = -5*v**3 - 3*v**2 + 4*v - 4. Let k(t) = 4*h(t) - 9*o(t). Calculate k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 5 + u - 2 + 6 - 2. Let q be t(-5). Solve b - q = -5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g + 4 - 2*g + 5. Let x be h(8). What is the remainder when 91 is divided by (0 + -31)*x\/(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4927*l**3 - 9868*l**3 + 4939*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*r + 2*r + 4*d + 98, -r - 121 = 3*r - 2*r + 5*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.8525 rounded to one dp?\nAnswer: 36.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 6404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 + 39*o**2 + 140*o - 118. Determine t(-35).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 AM and 10:24 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0, -0.05, -27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.22 in -0.1, 2, 265, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 21160767 a multiple of 1686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 6, -170, 228, -10 in descending order.\nAnswer: 228, 6, 3, -10, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + 4*b + 4*b**2)*(-11 + 16 + 18)*(b - b + 2*b).\nAnswer: 184*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 78353814 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2790503\/1782 + 17222\/11. Find the common denominator of -41\/81 and j.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 98. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 16326969?\nAnswer: 97961814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 2*i**5\/5 + 714*i**4\/5 - 75434*i**3\/5 + 1756102*i**2\/5 - 3288768*i\/5 + 1607384\/5 = 0.\nAnswer: -446, 1, 34, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 32 = -d + 19, -d = 5*l - 17. Solve 4*w = -2*o - 2, 0 = -l*o + w - 0 - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360\/(-5180)*(-210)\/(-270)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (218\/56 - 2808\/2457)*36\/(-81)\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6748 (base 14) to base 4.\nAnswer: 10113230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of 9*u**4\/2 - 2*u**3\/3 - 5*u**2\/2 + 16*u - 203. Is a(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1097986696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 58, 65, 58, 31, -22, -107, -230, -397?\n\"Answer: -d**3 - d**2 + 17*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3704 divided by -18454.\nAnswer: -1852\/9227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5.3, -5, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -27, -24, -19, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.4, 2.74021205 in increasing order.\nAnswer: -0.4, 2.74021205, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 13*i + 3. Let l(v) = v - 4 + 2 - 4*v + 1. Let t(j) = -2*a(j) - 9*l(j). Let c = 11 - 15. Calculate t(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d - 8. Suppose 0 = -5*c + 10. Let k be 66\/18 + (-4)\/6. Suppose k*i = -c*i. Calculate n(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 39*t**3 + 4890*t**2 - 275769 with respect to t.\nAnswer: 117*t**2 + 9780*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(2\/17)*z\/(z\/z**(1\/12)))\/(z\/z**(-1))**35)**(-41) assuming z is positive.\nAnswer: z**(583799\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 285 = 6*j + 93. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 267 divide 47134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-4\/9))\/h**(-1\/3))**3\/(h**9\/(h*h**(-3)))**(-8\/5) assuming h is positive.\nAnswer: h**(304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2d0d (base 16) to base 15.\nAnswer: 363d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 6) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 406 - 327. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9*(-6)\/12*(-4)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -27*h + 22. Let d be q(1). Calculate the remainder when 4634\/84 - d\/6 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 - (-2 - (-183)\/(-177)). Let f = h - -51\/236. Factor 1\/4*t + 1\/4 - f*t**3 - 1\/4*t**2.\nAnswer: -(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.233 - -138.767. Let x = -143.92 + i. Let l = -0.08 + x. Sort -3, 2\/7, l in decreasing order.\nAnswer: 2\/7, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -148 and 364384937.\nAnswer: 364384789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30 + 30.4. Sort 2\/21, -1\/4, t.\nAnswer: -1\/4, 2\/21, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1769 divided by 69\nAnswer: 1769\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2042*z - 6 + 4 - 1940*z + (z + 2*z - 4*z)*(1 + 1 - 3).\nAnswer: 103*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8547\/8 + 1717895\/1608. Calculate the common denominator of h and 43\/1407.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + 9*g**2 + 15*g - 11. Calculate h(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 4214559\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12 or 168133?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 + 16.5. What is the closest to -0.1 in i, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1402 - 1407.082. Let n = 0.018 - m. Let i = n - 4.8. Sort -2\/7, -0.3, 4, i in increasing order.\nAnswer: -0.3, -2\/7, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*z + 30*z - 14*z)*(2 - 82 - 122 - 159).\nAnswer: -11191*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/17  (b) 0.12  (c) -624  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 111965 and 2205?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4 or 6877?\nAnswer: 6877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 7218 = -9*n. Let h = n - 3577\/3. Determine w so that 14\/3*w**5 - h*w**4 + 4\/3 + 28\/3*w**2 - 22\/3*w + 8\/3*w**3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of 5*q**7\/42 + q**6\/2 - 9*q**5\/4 + 25*q**4\/12 - 7*q. Let w(u) = 0. Calculate u.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12 and 169.\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -3, -434151 in ascending order.\nAnswer: -434151, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 161779541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 (base 10) in base 5?\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -47, -95, -171, -281, -431, -627, -875?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 - (-2 - 10\/2). Suppose -u*a = -5*r - 2*a + 30, 3*r - 5*a = 18. Solve -r = v + v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 0 - -6*(-28)\/(-6) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 300279 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 388806446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 194884 by -48721.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-408)\/81 - (-203 + 197).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 535034161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5427 and 561393?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -11000101111 (base 2) in base 13?\nAnswer: -94a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -469378*f**3 + 9*f**2 - 52096234?\nAnswer: -1408134*f**2 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z - z - 12*z)*(-6 + 1 + 0).\nAnswer: 45*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 329594 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 272059.\nAnswer: 272059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -15*s**3 + 2*s**2 + s. What is the remainder when 47 is divided by f(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + sqrt(275) - sqrt(1100))*3.\nAnswer: -30 + 75*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 51 = -2*j - 31, -6 = 3*j. Let m(b) = -4*b**2 - 124*b - 14. List the prime factors of m(w).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 - 9*x + 7. Let q be n(8). Let p(b) = -5*b**3 - b**2 - 2*b - 1. Calculate p(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1452.8 - -102626.\nAnswer: 104078.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**2 - 26*a + 6. Give g(-8).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of -m**2\/2 + 18*m - 12. Let c be q(10). Solve 0*o + 3*o - c = -j, -15 = 3*j - 4*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*1055.\nAnswer: 3165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 133423012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8849856 and 2496.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 1, 16\/3, -1\/7, 0.2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -97 - 2*u**2 + 0*u**2 - 354 + 4*u**2 - 15 to the form y*u + p*u**2 + g and give g.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 178, 840, 1502, 2164?\n\"Answer: 662*x - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 34437760 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**5\/8 - 153*c**4\/2 - 480*c**3 + 6075*c**2\/4 + 94125*c\/8 + 39375\/4 = 0. What is c?\nAnswer: -5, -1, 5, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**4 - 230*a**2 + 2*a - 39.\nAnswer: -24*a**2 - 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -268483400 to the nearest one hundred thousand.\nAnswer: -268500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29060 is divided by 1452.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -10.94*-0.2\nAnswer: 2.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1433771 is divided by 533.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 75053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-1)*(35\/(-2))\/7. Suppose -3*b + 0*i + 196 = -4*i, s*i = -20. Let c = -58 + b. Solve 0 = -2*j + c + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + d = 6*f - 2, -302 = 2*f - 39*d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 778155.\nAnswer: 3, 5, 7, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -394 and -0.2?\nAnswer: 393.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 25847, 207065, 699073, 1657307, 3237203, 5594197, 8883725, 13261223?\n\"Answer: 25906*g**3 - 41*g**2 - g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1304 and -673221?\nAnswer: 671917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2305*h**2 - h + 1920 wrt h?\nAnswer: -4610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/3))**31)**46 assuming l is positive.\nAnswer: l**(-1426\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 983241973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.156  (b) 21  (c) 5  (d) -0.3  (e) 28  (f) 2\/9  (g) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*r - 16 = -173*r + 82*r. Solve -2 + r = 2*q, q = -2*x + 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68703.83g in milligrams?\nAnswer: 68703830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3708*o**3 + 18*o**2 + 1368691*o - 1368546*o + 1034*o**3 wrt o.\nAnswer: -16044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**4 + 94*t - 94*t - t**2 - 3 to the form b*t + u*t**2 + h*t**4 + s*t**3 + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of z**5\/30 - z**2. Let d(j) be the first derivative of 29*j**2 - 26233. Determine s(d(k)).\nAnswer: 6728*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + -150?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 9 + 7*t**2 - 1 - 9*t - t**2 - 4*t**2 - t**2. Give r(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 + 4)*(3 + 0 - 6)*(2 + 1 + 0)*(g + 2*g - 2*g) to w*g + z and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 88365313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 259367562 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 15834*v - 2. Let x(l) = 985*l. Calculate c(x(i)).\nAnswer: 15596490*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 361 + 12. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 3:48 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -3*d**5\/8 + 21171*d**4\/4 + 264957*d**3\/2 + 4219857*d**2\/4 + 17944335*d\/8 - 3435777 = 0.\nAnswer: -9, -8, 1, 14139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -294827338 - -294827363.8713339. Let q = l + -25.50133. Let m = q - 0.37. Round m to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*v**3 - 199*v + 199*v + 10*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + -0.3. What is the closest to 0.2 in 1, c, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23393 is divided by 11692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001396925 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -5*o + 2*o - 66, -3*o = -2*r + 46. Suppose -5*p = -5*v - 7*p + 1222, 0 = 5*p + r. What are the prime factors of v?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 12*p**2 - 27*p + 4. Let j be h(-9). Suppose 3*x + 2*v - 222 = x, 0 = -3*x - j*v + 329. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 709312 and 17488.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z. Let g(y) = y**2 + 8*y + 12. Let w be g(-6). Let s(r) = w*r**2 - 2*r**2 - 138*r + 124*r. Determine s(o(j)).\nAnswer: -8*j**2 + 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*v - 12 = -140*v + 69*v. Solve -v*h - g = -7, 23 = 2*h - 5*g - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -820*g - 1635. Calculate y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*x**2\/5 + 999*x\/5 + 1736\/5 = 0. Calculate x.\nAnswer: -248, -7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11.23 - 0.37. Let g = -136.14 - -123. Let b = g - j. Round b to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 158501 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 607.4371ml in litres?\nAnswer: 0.6074371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 59684924?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43188, 43189, 43190, 43191?\nAnswer: 43192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 427363*t + 8 = -2*s + 427360*t, 2*t = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**27\/(r\/r**(1\/3)) assuming r is positive.\nAnswer: r**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 6*b**2 + b. Let z = -2161 - -551. What is the lowest common multiple of (-1 - (-2)\/10)\/(92\/z) and w(3)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 15 = -3*g, -3*g + 5*i = -2*g - 5. Suppose c + 8 = g*c. Solve 1 - 11 = -c*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14*-0.9\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -22688.8749 take away -1.3?\nAnswer: -22687.5749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -65\/2 - -33. What is the closest to 0.2 in s, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.4 or 63982562?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v. Let b(g) = -2*g - 24878236. Determine d(b(n)).\nAnswer: -2*n - 24878236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13b3 + 215?\nAnswer: -119a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -37*p + 1259. Give o(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/44 and 20\/4763?\nAnswer: 19052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45)\/5400*40*-19*3\/(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.6  (b) -0.5  (c) 1\/3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q - 6. Let k be d(-8). Let t = 11 - k. Suppose 5*o - 13 = 4*x, t = 4*o + x + 10. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.3955 + -528.6045. What is the second smallest value in f, -2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 126288789 divided by 22121?\nAnswer: 5709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + 4 + sqrt(3) + (sqrt(3) - (sqrt(3) + 2 + sqrt(3)))*-2 + 2)*2)**2.\nAnswer: 168*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 413059*t - 5*t**2 + 22*t**3 - 413059*t. Let i(z) = -595*z**3 + 136*z**2. Give -136*d(g) - 5*i(g).\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.2223 + -7.2223. What is the second biggest value in x, -0.3, -5, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 181 + -179. Sort -0.02, r, -4\/5 in descending order.\nAnswer: r, -0.02, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rjrggs. What is prob of picking 1 g and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23124727 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*q - 134 = -63*q + 9*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1451*y + 1790*y + 6441 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3771, 15224, 34325, 61074?\n\"Answer: 3824*f**2 - 19*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 53108, 53106, 53102, 53096, 53088?\n\"Answer: -h**2 + h + 53108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, -2, 0 in ascending order.\nAnswer: -2, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.19 * -887607.\nAnswer: 168645.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of 171*y**5\/10 + 439*y**4\/12 + 485*y**2. What is the second derivative of b(i) wrt i?\nAnswer: 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6696 + 6700. Solve -6*s + 4*s + d*c + 10 = 0, 4*s + c = 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*p - 840 - p + 659 - 2306 + p to the form f + y*p and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 42 + 0 = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3369504, 6739022, 10108552, 13478100, 16847672, 20217274, 23586912, 26956592?\nAnswer: 30326320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 4 - 5*b + 5*b + 2*b + 0*b. Give y(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-12)\/30)\/(3 + 164\/(-55)). Let d = 30 - a. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2210341 (base 5) to base 6\nAnswer: -452541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -22. Let a = 535 - 532. Calculate the highest common divisor of a and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*x + 10 = 163, 0 = -2*p - 5*x + 86. Calculate the greatest common factor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94 + 13*v**3 + 99 + 80 + 91 - 452 + 88.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 7*r + 108. Let w(z) = -z + 1. What is a(s) + 5*w(s)?\nAnswer: 2*s + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -168508*l + 5 + 0 - 6.\nAnswer: -168508*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 220054 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 + q - 6. Let c be m(6). Is 51\/2*c\/(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 3*a + 601 + 303 = 0, 3*k + 5*a = 689. Let m be k\/2 + (-6)\/4. What is the greatest common factor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1606070385 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c + 5. Let u(r) = -r - r + r - r - 6. Let d(m) = -3*q(m) - 2*u(m). What is the lowest common multiple of 6 and d(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 38*u**2 - 505 + 461 + 44*u**2 + 2*u**3 + 42*u**2 - 21*u**2 in the form s*u**3 + j + f*u**2 + c*u and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -20, 4 in descending order.\nAnswer: 5, 4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*p + 13*y - 12*y - 0 - 2, -3*p = 2*y - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i**2 + i + 1. Let z be p(-1). Let y = z + -3. Sort y, -3, -1.\nAnswer: -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from juojujuujjjjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(240) - (sqrt(240) - (sqrt(240) + 6*sqrt(240)*-1 + sqrt(240)))))\/((sqrt(175)\/(sqrt(10)\/sqrt(2)))\/(sqrt(7) + 4*sqrt(63))).\nAnswer: -1040*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1514345423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 197456529 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-12)\/48 + (-27)\/(-12). Solve 22*d + i = 21*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 24 - 776. Calculate the remainder when i is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3156820 is divided by 147?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 49258134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0, 124\/5, 3\/31, 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8043 is divided by 888?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 - 2*c - 5*c + 4 + (-2*c - 4 + 4)*(1 - 3 + 0).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -169\/90 and 41\/135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 690640\nAnswer: -690640.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9066.838 hours to milliseconds.\nAnswer: 32640616800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from ndttzgy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from raaarrmrrmmrrrjmbr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1\/5, 1, -0.1, -6\/13, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 10*v**5 - 476*v**4 - 21708*v**3\/5 + 1392304*v**2\/5 + 111890*v + 56028\/5 = 0.\nAnswer: -23, -1\/5, 29, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**2 + 33*w - 93. Give f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - 2. Let r = w + 12. Suppose 2*i = 3*i - r. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 + 19*y - 42. Determine k(-23).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 86 and 645.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 145*y**2 - 140*y**2 + 3*y**3 + 4*y**3 + (2*y**2 - 3*y**2 - 4*y**2)*(4*y - 3*y - 15*y) in the form d*y**2 + l*y + f + c*y**3 and give c.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + -54 + -5 + -1. List the prime factors of o*-3*(-1 + 2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 5  (b) -38  (c) 2  (d) -4.2  (e) 190\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -512*94.\nAnswer: -48128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 765673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -6*r + u + 10, -5 = -3*r + 2*u. Solve 0 = 3*t - 6 - r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of o**3\/6 + 7*o**2 - 4*o. Let m be t(-10). Does 5 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.173 - -2.973. Let y be (-2)\/(-7) - 10\/84. Let x = -1\/2 + y. Which is the second smallest value?  (a) -0.3  (b) x  (c) r  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12414686.454 rounded to the nearest 10000?\nAnswer: -12410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68136.\nAnswer: 2, 3, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 - 83*l**2 - 163*l - 105. Determine g(-81).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 8330\/(-54978)*(-306)\/5 - (-9)\/(-1)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**7)\/a*a)\/(a**12*a*a) assuming a is positive.\nAnswer: a**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50)*2 - (sqrt(72) + sqrt(8)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 350\/(-100) - (-6 + 1 + 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 233\/693 + -4\/63. Find the common denominator of r and (1 - (0 - 1)) + (-3)\/(-10).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 318, 653, 988?\n\"Answer: 335*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 580.8 + -535. Let g = d + -53.53. Let l = 8.4 + g. Round l to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 123004 and 2674.\nAnswer: 123004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 361, -2, 4, -0.3, 0.2 in ascending order.\nAnswer: -2, -0.3, 0.2, 4, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 101769447 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 3*v. Let u(b) be the second derivative of 0 + 0*b**3 + 2*b + 0*b**2 - 1\/4*b**4. Determine r(u(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7705380*f**2 - f + 73242052 wrt f?\nAnswer: 15410760*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 89278520 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*v**3 - 24855*v**2 + v - v + 24879*v**2.\nAnswer: -13*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 206941169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -474 = -4*z + 2*y, -5*z - y - 14 = -610. Calculate the greatest common divisor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -4*a - 4*z, 4*a + 2*z = 6*z. Let n = -3 + a. Calculate the lowest common multiple of 14 and (30\/35)\/(n\/14).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -3.04. Let l = 1.64 - p. Round l to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 2. Let y = 1 - c. Suppose q = -4*s + 63, s = -y*q - 3*q + 2. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -16*v + 99. Let j(p) = -31*p + 196. Let n(i) = 3*j(i) - 5*m(i). Is n(6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of -37*b**4\/6 - b**3\/2 + 274*b**2 + 1236*b. What is the second derivative of j(k) wrt k?\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 316 = 2*o. Let k = -20 + o. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 852504 (base 9) in base 5?\nAnswer: 112211224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64503?\nAnswer: 3, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -71*l + 3123. Does 35 divide o(-107)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -g**5*i**2 - 60*g**5 - 2*g**2 - 3*g*i + 13*g + 2*i**2 wrt g?\nAnswer: -20*g**3*i**2 - 1200*g**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of s**8\/1344 + s**7\/840 - s**6\/80 - 180*s**2. Let f(c) = 0. Calculate c.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1747226057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84 and ((-78)\/8)\/(24*7\/(-29792))?\nAnswer: 20748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 72 or 6362\/89?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u - 3. Let d be p(8). Suppose g = 4*o + 49, g + 3*o - 31 = o. Suppose -d*s + g = -98. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -186*y + 185*y + 10*x + 31 - 12, 3*y - 2*x = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 2*w + 116 = -130, 3*u + 4*w - 192 = 0. Calculate the highest common divisor of u and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0297 + 34.0297. What is the closest to x in 2, 1\/4, -2, -2\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -7*z**3\/6 + 85*z**2\/2 - 180*z. Let y be v(11). Solve -4*g = y - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r - 8. Let i be q(8). Let v(x) = x**2 - x + 4. Let h be v(i). Factor 0 + 22*f - 2 - 15*f + h*f**2.\nAnswer: (f + 2)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9.65 - -5.4. Let p = f + 2.02. Round p to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 9*s = -14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 4*i - 16, 0 = 6*i - 2*i - 5*s - 16. Solve -17 + 5 = i*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 8 = 2*i, 0 = f + 2*i + 3*i + 16. Suppose 998 = f*c - 2*g, 0*c + 2*c = -2*g + 508. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 648938 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 j, and 1 t when three letters picked without replacement from {o: 10, j: 4, i: 2, m: 1, t: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*s - 2*s, -3*q - s + 22 = 0. Let r = 10 - q. What is the second derivative of 0*d**2 + 0*d**2 + r*d**3 - 3*d wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45110, 42413, 35094, 20843, -2650, -37695, -86602, -151681?\nAnswer: -235242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -18\/43, 8, 3\/4, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*x = -22*x + 4*z + 15, -4*z - 25 = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {e: 3, a: 9}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 47 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9054 and -598.\nAnswer: 5414292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 68 = -6*m. Solve 3*d = -3*i - d + 27, 4*i - d - m = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -30, 12, 110, 288, 570, 980?\n\"Answer: 4*o**3 + 4*o**2 + 2*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, r: 3, u: 6, j: 5}. What is prob of sequence jn?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2604673 = -106*y - 25*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*h**2 + 3 + 62*h**2 - 98*h**2 - h**3 to s*h**2 + j*h + o + b*h**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34 - 32. Suppose -2*p + 6 - a = 0. Suppose 325 = 3*d + 5*u, -p*d - 20 + 241 = -u. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/l**(-1\/27)*l)**(3\/14) assuming l is positive.\nAnswer: l**(41\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7578 + -2a6?\nAnswer: 7292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: -358 times 18074\nAnswer: -6470492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 18*v + 7. What is the remainder when 124 is divided by a(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((15\/(-12))\/5)\/(54\/(-40)*5240\/(-6288))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/((-6)\/(-3)) - -29. Suppose m = 2*y + 378. What is the tens digit of y\/(-7) + (-10)\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - -11 - 2 - (2 - (-16 - (-15 - -9)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q + 5*q - 2*q + (7 + 2 - 3)*(2*q - 2*q - 2*q) - 6*q + 0*q + 4*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2240 - 22754 = -2*z. Let u = z + -492427\/48. Let y = 13\/33 + -1825\/528. Find the common denominator of u and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 326*d**2 - 30*d + 89. Suppose 0 = -8*h + 18 + 6. Is k(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 85.08706ml?\nAnswer: 0.08508706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -10.2, -0.4 in increasing order.\nAnswer: -10.2, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4175.8 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 - 7 = 9*r. Suppose -3*t + r*t = -6, -4*s - 5*t + 89 = 0. Calculate the remainder when 103 is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.4 - 2.1. Let w = 5.5 + c. What is the nearest to w in -1, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 2*t**2 + t - 1. Let p be d(3). Let u be (-8 + 5)\/(-12) - 3\/(-4). Let j be -1 - u - (-11)\/p. Is j bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 110 = 18*q + 4*q. Find o such that 1\/3*o**2 + 1\/6*o**q - 1\/6*o**3 + 0*o + 0 - 1\/3*o**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (0 - (-7 + 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1454?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -143*g - 2262. Determine n(-17).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-5))\/((-217)\/14105)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 e when three letters picked without replacement from {c: 7, j: 2, o: 2, t: 4, e: 1, w: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 - 22*l**2 + 23*l + 75. Let x be q(-23). Suppose -3*k - 2*d + 221 = 0, 12*k + x = 13*k + d. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 10) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16641859 and 779?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-2) + 4\/2. Suppose -2*r = -3*q + r + 21, -3*q + 20 = -h*r. Let v = q + -5. Calculate the highest common factor of 12 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -8112*g - 65. Calculate b(0).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 1 + 0 - b**3 + 4*b**3 + 3*b**2 - 11*b - 6. Is u(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.25 + 0.25. Let h = -12854 + 12856. What is the nearest to h in f, -0.029, -0.5?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*l**2 + 68*l**2 - 34*l**2 - 2 - 2040*l**3 + l.\nAnswer: -2040*l**3 - l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 + 2*w**2 - 8*w + 5. What is h(4)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4300699107 to 4 dps.\nAnswer: 0.4301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of d**6\/120 + 821*d**5\/60 + d**4\/24 - 91*d**3 + 2227*d**2. Find the second derivative of t(k) wrt k.\nAnswer: 6*k + 1642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((j\/(j**(-2)\/j))\/j)\/j)\/j)**25*(j**(-1))**9)**0)**(-12\/13) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/5))**(2\/39)\/(r*r**0\/r)**50 assuming r is positive.\nAnswer: r**(4\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-one eighths of a hour?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38493412 = 3*w + 9588530. Let z = 5369146246\/335 + w. Let p = z + 25\/67. Find the common denominator of p and 3\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 229 + -133. Let c = 18142962777 + -18142962873.00000107. Let i = c + q. What is i rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/c**(2\/27)*c**3*c**3*c**(-7\/4)*c*c)**(1\/3) assuming c is positive.\nAnswer: c**(883\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 3*y**3 - 117*y**2 - 136*y + 60. Determine q(40).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 113 + -567\/5. Which is the closest to h?  (a) -2  (b) -1\/10  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -83 + 80. Let r(t) = -3*t**3 + 3*t**2. Let n(x) be the first derivative of 3*x**4\/2 - 7*x**3\/3 + 1. Determine s*n(g) - 7*r(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 2*o - 10*o)*(2*o + o - o) + (-2*o + 0*o + 0*o)*(o - 4*o + 5*o).\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 22 - 716 = 0. What is the remainder when v is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7103a89 - 0?\nAnswer: 7103a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22\/3873 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25021106, 25021104, 25021102?\nAnswer: 25021100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 10881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -15873*-0.087\nAnswer: 1380.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (31 - 24) + 44 + -30.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 PM and 2:59 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 106 = -3*w + 6*g, -3*w - 5*g = -151. Suppose q + w = 3*q + 5*i, -16 = -4*i. Suppose -l + 42 = q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -92da90 (base 15) in base 5?\nAnswer: -3241410020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -12*u - 68. Let l be s(-6). Suppose -6*g + 2*g - 5*k = -11, 21 = l*g - 5*k. Suppose -g*y - 7 = 5. Is y <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1034, 1, 2\/5, -0.4, 0.\nAnswer: -1034, -0.4, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 10 = -5*t, 0*u + 3*u - 5*t = 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3762377531 + 1155051840719\/307. Let i = h + -6315. Is 0 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/32*-3)\/(30\/80)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 - (-3 - (-2 - -1)*6). Let l = -5 - -9. Suppose -l*q + 9*q = 25. Put m, q, 3 in ascending order.\nAnswer: m, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71*q**2 + 69*q**2 + 162*q**2 - 4*q**3.\nAnswer: -4*q**3 + 160*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -47, 5, -11, -33, -4 in increasing order.\nAnswer: -47, -33, -11, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/55 and 17\/14910.\nAnswer: 164010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, v: 3, r: 1, c: 2, k: 4}. Give prob of picking 2 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22652 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1\/2)*j\/j**6)**(-41))**(3\/20) assuming j is positive.\nAnswer: j**(1353\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 5*g + 24, 5*g + 14 + 4 = -t. Let a(y) = -y**3 - 2*y**2 - y + 2. Let s(v) = 1 - 3*v**3 + 0*v + 3 - 3*v - 5*v**2. Calculate t*s(o) - 5*a(o).\nAnswer: -o**3 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 17*m - 315. Suppose -m*a + 20*a = 1210. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1065737 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 + b - 13. Determine x(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 e, and 1 f when three letters picked without replacement from {e: 2, d: 1, t: 1, w: 2, f: 1, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**2 - 22*k. Let u be m(11). Suppose -3*c + u*c - 3*j = -15, -22 = -2*c + 4*j. Calculate the remainder when (-15*1)\/(3\/(-4)) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 104, 160, 220, 284, 352, 424?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 463*u + 383?\nAnswer: 463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123943.\nAnswer: 41, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 43649854 to the power of 1\/2, to the nearest integer?\nAnswer: 6607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3931199 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -2  (b) -3\/37  (c) 0.3  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - -2718.\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 82634899\/834135 + 5\/55609. Let f = t - 99. Let i(d) = -d - 9. Let y be i(-11). Are y and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -v - 5*w + 19, v - 26 = -4*w. Suppose q + q = -v. Let l be (-24)\/14 - 2\/7. Which is the closest to 0.1?  (a) 0.3  (b) q  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -400367 + 5?\nAnswer: -400362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - 0)*(-12)\/(-9). Suppose -l + 44 = -h*q + 3*l, -3*q = 4*l + 12. Let s = 15 + q. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 463218 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 - (-24)\/9*3. Let r = 56 - 45. Suppose -3*q + 4*q - 1 = 0. Solve -q = h*v - r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13131320 + -4?\nAnswer: 13131311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -14*l - 276. Determine h(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -5. Let n(c) be the first derivative of -1 - c**2 - m*c + 0 + 7*c. Determine n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (7 - 45\/18)*2. Suppose -l*t = 3*t + 192000000. Round t to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from vxvvxvv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 + (-17 - 0) + 0 + 14.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 - 6*x - 4. Let m be z(6). Let k be 6*(m\/15)\/((-12)\/(-30)). Let w be 7 + (-3)\/(3 + 6\/k). Let y(o) = -o + 3. Determine y(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -1470.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17158 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4385404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.2 - 3.2. Let d = -2.9 + o. Let s = -4 - d. Which is smaller: -11 or s?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22373\/153 + 1324\/9. Let a = b - -21\/34. Which is greater: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17*a**4*d*w + 12*a**3*d**2*w - 2*a*d**2 - a*d - 4*a*w - 2*d**2 wrt a.\nAnswer: 204*a**2*d*w + 72*a*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 + (6 + -5 - (5 + -9 - -3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28 - -33. Suppose -12*a + 41 = b. Find the third derivative of -7*u**2 + 0*u**2 + 9*u**a + 6*u**3 - 6*u**2 wrt u.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 8014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*q**3 + 23*q**3 - 303*q**2 + 3 + 519*q**2 + 67*q**2.\nAnswer: 89*q**3 + 283*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 = 14*s + 11*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 157 + -183. Let y = 26.01 + h. What is the biggest value in 0, -5, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 23*w**2 - 392*w - 5. What is b(17)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3678)\/(-16)*(-8)\/12. Let r = 154 + u. Let s = -2\/133 + -526\/399. Which is the closest to 1?  (a) 2\/5  (b) r  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 5, 0*z + 30 = 2*z + 4*d. Suppose -3*h = h. Suppose 33 = 3*v - h*v. Solve v - 26 = -z*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133806515.\nAnswer: 5, 26761303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*(-5 + (-2 - 2\/((-20)\/85))). Sort c, -6, 6 in descending order.\nAnswer: 6, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + 6 + -10 + 6 - 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1513 at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 12825905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2525 = 3*t + d, d = 1. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h**4\/8 + 69969*h**3\/8 + 28471439*h**2\/4 + 18957639*h\/2 + 3158311 = 0 for h.\nAnswer: -6851, -922, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*g + 0*g - g)*(-3 + 3 - 2) + (1 - 3 + 0)*(-4*g + 5*g + g) - 2*g + 5 - 5)*(5*g**2 - 2*g**2 - g**2).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 2 - (-5 + 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 1 - 12824*d - 6540*d to w + u*d and give u.\nAnswer: -19364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5628 divided by 6.\nAnswer: -938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.3  (b) -6  (c) 32\/7  (d) 2\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((2 + sqrt(3645) - sqrt(3645)) + sqrt(3645)))**2.\nAnswer: 3888*sqrt(5) + 131364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35345\/4 - 8860. Find the common denominator of (-6)\/39 + (-1621)\/(-19578) and b.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - -5 - (176 - (140 - 72)).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5\/17 - -21\/187. Let b = -27 + 24. Sort 2\/7, y, b in increasing order.\nAnswer: b, y, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -163 - -272. Let x = -109.00000079 + u. What is x rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(192) + 0 + -5 - sqrt(192)) + -6*(sqrt(192) + sqrt(192)*2 + sqrt(192) + sqrt(192) + sqrt(192)))*-5)**2.\nAnswer: 72000*sqrt(3) + 6221425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (2 + (7 + -7 - -7))) + 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -3807717?\nAnswer: 3807722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 4089 divide 291303188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -38 - -39. Let d be (((-4)\/(-12))\/h)\/(7\/3). Solve d*p**2 + 3\/7*p + 2\/7 = 0 for p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -230 - -122022330103?\nAnswer: 122022323213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) - (1*-2*sqrt(88) - sqrt(88) - sqrt(88)))\/sqrt(288) + 1 + -3 + (sqrt(11) + sqrt(11)*3)**2 + -3 + 1.\nAnswer: 5*sqrt(11)\/6 + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -131148*i**3 - 355*i**2 + 17527 wrt i.\nAnswer: -786888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -34 - -800\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -805*u - 10. Let o be k(-11). Suppose -39517 + o = -24*n. Does 35 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0024891520429 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.8 - 5.2. Sort 27, q, 0, 0.1.\nAnswer: q, 0, 0.1, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 7 = -2*d, 3*y = 136*d - 137*d + 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 676\/17 < -1\/721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 101859123 divided by -101859123?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141548 is divided by 10887.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjd when three letters picked without replacement from dijjddjjjdjjdd.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of -3\/4*v**4 + 0*v**3 + 5*v - 5\/2*v**2 + 0. What is the first derivative of p(j) wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hi when two letters picked without replacement from hhhhhiijhijhihji?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**1\/x)**(11\/5))**(-34) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 3 - 6) + (45 + -3)\/(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 1924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**5*i)\/(i**4\/i))**38*(i**4\/i)\/i*i*i**(2\/13)*(i\/(i\/(i*i**(-1\/4))))**(-28) assuming i is positive.\nAnswer: i**(1744\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.2000017 + 3.2. Round w to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 20 = -4*z, -w + 3 + 1 = -2*z. Sort 3, w, 5.\nAnswer: w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5728840609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -1024*o**2 + 1724*o**2 + 9*o - 1 - 5. What is the units digit of z(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 6) + 6 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y - 2. Let q be h(-3). Let r(j) = 0 - 10*j**2 - 18*j + 24*j**2 - 5 - 7*j**2 + j**3. What is the tens digit of r(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -330 - -335. Let u(f) = 24*f - 61. What is the remainder when 228 is divided by u(l)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17550271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 3866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 2)*(-6*j + 4*j + 3*j + 0*j + 0*j + j + 4*j - 4*j - 2*j + (1 + 0 - 3)*(2*j + 2*j - 3*j)) + 5*j - 4*j - 2*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 - 20 - (1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -88474.\nAnswer: 35389.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 8:39 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14936 (base 10) to base 4.\nAnswer: 3221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.3275 <= -0.114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -2*o - k - 5, -4 = 4*o - 2*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -450 + 444. Let i(g) = g**3 + 6*g**2 - 6*g + 5. Give i(r).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -148560100, -148560095, -148560090, -148560085?\n\"Answer: 5*o - 148560105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**1)**(-6\/11))**(-4\/17) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1756 at most 1770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17178, 17176, 17172, 17166, 17158, 17148?\nAnswer: 17136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 877 * -0.1538.\nAnswer: -134.8826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 - 9*r**2 - 209*r - 1589. Give g(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -52151252 (base 6) to base 14\nAnswer: -2b3596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 270*d**3*y - 5*d**3 + 13 wrt y.\nAnswer: 270*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 1.857713 hours?\nAnswer: 6687766800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3326\/5 + -663. Let j be 154\/(-40) + (-4)\/(-16). Let k = z + j. Is -1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 4:54 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -55*x**2. Let d(s) = -2*s**2 + 489*s - 20. Give d(r(b)).\nAnswer: -6050*b**4 - 26895*b**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 + 5. Let i = -1.1 + 1.3. Which is the biggest value?  (a) i  (b) 5\/8  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 201*g + 25. Let t be i(5). Suppose 5*h = 5*z + t, 5*z - 890 = -4*h - 75. List the prime factors of h.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.18577 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s**(-1\/3)*s)\/s)**41\/(s*s*((s*s**(-2\/5))\/s*s)\/s*s*s)**(-5\/7))\/((s**(-2\/7))**(-6\/19)\/(s**0)**(-2\/7)) assuming s is positive.\nAnswer: s**(11896\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153803885376 + -32.\nAnswer: 153803885344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 38*j**2*r**2 - 4*j**2*r - 431*j**2 + 8*j*r**2 + 5*j*r - 3*j + 1775*r - 2 wrt j.\nAnswer: 76*r**2 - 8*r - 862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 105327 = -65493. What is q rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/2328 and 65\/32?\nAnswer: 9312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/4 - 11*s\/4 + 3.\nAnswer: -(s - 1)*(s + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*x + 1 + 2 = 0, 4*x = -4*z - 4. Suppose z = -4*m + 8, 7*r = 2*r + 4*m - 3. Let q = -1\/21 - 2\/7. Which is bigger: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - x - 273 = 140, 4*x = -3*s + 286. Let v be (-12)\/s - 4\/(-34). Solve 8 = c + 5*u, -c + v*u = -5*u + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1024172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -5*d**2. Let n(p) = -8*p - 14. Calculate n(w(z)).\nAnswer: 40*z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5374 - 5370. Put 1, -1707, -2, c in descending order.\nAnswer: c, 1, -2, -1707","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, 6, -2, 45, -1, -8, 1.\nAnswer: -47, -8, -2, -1, 1, 6, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1127 - 959. Let a = 51 + -9. Calculate the highest common divisor of i and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142120*w - 141980*w = 12880 for w.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4 or 573\/163?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.458 - -8.458. Sort -208\/11, 0, n in decreasing order.\nAnswer: n, 0, -208\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-21)\/9)\/7 - 31137\/9. Round r to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(364) - (sqrt(364) - (1*(sqrt(364) + sqrt(364)*-1 + sqrt(364)) + sqrt(364)))))\/((1*sqrt(1008) - sqrt(1008))*3 + sqrt(1008)))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -399*q + 4 + 6 - 6 + 397*q as w + m*q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(612) - sqrt(612))*1*-3.\nAnswer: 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3860 + 0.3?\nAnswer: 3860.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/571604 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4384*28.\nAnswer: 122752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 13*x**2. Let n(v) = -v - 1. Let m(s) = 5*s + 6. Let a(r) = -m(r) - 6*n(r). Determine a(t(o)).\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 - -7. Let p be ((-65)\/i)\/(3\/(-15)). Let l = 15 - p. Solve -l*w = 2*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 364328\/2512911 - 2\/36419. Is s bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 1356940514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 268 + -128. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 - 19*i**2 + 44*i - 24. What is the units digit of n(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-3) - (-1)\/(-3). Let v(s) = -s - 2. Let c(i) = 2*i - 2 - 6*i - i + 3*i. Suppose 2*z = -2*r + 2, -3*z = -r - r - 8. Calculate l*v(p) + z*c(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*n + 5*r + 45, -209*r = 3*n - 204*r + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 22572*a + 18 - 10 - 7.\nAnswer: -22572*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1*(2 + sqrt(891)))**2.\nAnswer: 36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 302, 1371, 4318, 10085, 19614, 33847?\nAnswer: 53726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = -42*r + 208 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**3 + 6925*a**2 - 20740*a + 13820.\nAnswer: -5*(a - 1382)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.1  (b) 2  (c) 0.38  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, 4, 377\/314 in increasing order.\nAnswer: -1\/7, 377\/314, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34444655, 68889306, 103333957, 137778608, 172223259?\nAnswer: 206667910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*z - 226*z - 9862 - 6220 = 232*z for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -86*-11256.2\nAnswer: 968033.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 145, 289, 431, 571, 709, 845?\n\"Answer: -x**2 + 147*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of -o**7\/180 - o**4\/4 - 12*o. Let r(h) be the third derivative of b(h). Let d(z) = z**2. Determine r(d(y)).\nAnswer: -14*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 101694, 203384, 305074?\n\"Answer: 101690*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 54 = y. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10278 divided by -6?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 76 + 91 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/3)\/(60\/72). Sort 1\/4, -0.2, x in decreasing order.\nAnswer: 1\/4, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.510134 + 0.51. What is l rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*m = -1, 4*f + m = 2*m - 11. Let s(q) = -62222*q**2 + 3*q + 7. Let i be s(f). What is i rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51288113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 3*f - 17. Suppose -8*c = -11*c. Let h be c\/(-4 + 0 + 2). Suppose 22 = -2*g + 2*d, 0 = -h*d + d. Let o(b) = b - 6. Give g*o(l) + 4*y(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n + 0*n + 30 - 33)*((n**2 + 2*n - 2*n)*(4*n - n**2 - 4*n) - 18*n**4 + 5*n**4 - 3*n**4).\nAnswer: -68*n**5 + 51*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -127*(-226)\/(-224) - 1. Let t = -914\/7 - j. What is the common denominator of 83\/8 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -5*d + 50, -k = 4*d + 6 - 7. Let s be (26\/(-6))\/((-2)\/12). Calculate the highest common divisor of k and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g - 10. Let b be s(-21). Suppose -b*o = -24*o - 16. Solve o*u - 15 + 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 241*i**2 - 2*i - 2. Let x(s) = 3*s**2. Give f(x(n)).\nAnswer: 2169*n**4 - 6*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 1  (b) -42505  (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 + 5*d**2 - 6. Calculate the smallest common multiple of 4\/((-2)\/(-20)*(-25)\/(-15)) and g(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 40*t - 2. Let h(g) = -41*g + 1. Give -3*h(r) - 2*n(r).\nAnswer: 43*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -6. Suppose 136 = q*x + 13. What is the remainder when x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/7, -1\/5, 2.7, 73 in descending order.\nAnswer: 73, 2.7, 3\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 12*w**3 - 15*w**3 + 20.\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*d**2 + 3*d - 18 + 18 wrt d?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to 11\/8104825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 3:50 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 16 = -2*i - i, 9 = 2*i + w. Suppose -i*d - 4*o = -0*o - 248, 0 = 5*o - 10. What is the greatest common factor of 32 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 20*v**2 + 28*v + 173. Calculate d(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/3)*k*k*k**(-5))**(-26\/9)*(k**(-1\/8)\/k**(-1\/9))**(44\/3) assuming k is positive.\nAnswer: k**(353\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45511.\nAnswer: 71, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 46\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 3 - 5. Let u be (-2)\/w*3 + 1. Let g(t) = 2 - t - 2. Determine g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/26 - 315\/(-65). Suppose 0*j - p*j = -485. Suppose -o - 3*m = -34, -4*o = m - 2*m - j. What is the remainder when o is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1088) - (sqrt(1088) + ((1 + sqrt(1088))*-5 - sqrt(1088))) - -1*sqrt(1088)*5.\nAnswer: 5 + 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*s**2 + 7230*s + 185952 = 0. What is s?\nAnswer: -2384, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*i - 118 = 1104 + 143 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -7. Let v = q + 4. Which is bigger: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*f + 75*f + 57*f + 6*f as z + d*f and give d.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11859?\nAnswer: 3, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30.014 - 0.014. Let s = 7 + b. Let j = 37.0394 - s. Round j to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 + -127. Let t = 131 + f. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.1  (b) -20  (c) 0.09  (d) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express ((2 - 1 + 1)*(-1 + 1 + 2*n) + 3*n + 3*n - 5*n)*(2*n - 1 + 1)*(-3*n**2 + 0*n**2 + 5*n**2) in the form c + k*n**3 + p*n**2 + q*n**4 + a*n and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -0.5, -3, 5, 3\/47?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 9\/8  (b) -6  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-119865)\/(-288855) - 4\/49.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 6*q. Let t(a) = 903*a - 450*a - 3 + 5 + 8 - 451*a. Determine j(t(l)).\nAnswer: 12*l + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 8:48 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61619?\nAnswer: 43, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(36)\/sqrt(3) - -4*sqrt(48))\/(-6*(sqrt(4) - ((sqrt(96)\/sqrt(4))\/sqrt(6) + sqrt(4)) - sqrt(4))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -108 - -53. Let p = s + 67. Solve -2*w - n = n + p, 4*w = n - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13 + 9*u - 13 + (0 + 1 - 3)*(3*u + 1 + 3*u - 5*u).\nAnswer: 7*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -9*z**3 + 4*z**2 + 8*z + 3. Let v(b) = -8*b**3 + 4*b**2 + 7*b + 2. Calculate 6*s(a) - 7*v(a).\nAnswer: 2*a**3 - 4*a**2 - a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3276*z - 125. Is o(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-10))\/((-158)\/(-10665))*(-4)\/(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 9:55 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5425 = -f - 2*z, 2*f - 10860 = -z + 2*z. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4364*v + 4273*v + 7735. What is the greatest common factor of 22865 and v?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 3. Let h(k) be the first derivative of k**3\/3 + k**2 - k - 168. What is h(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003473009 rounded to five decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1528.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-324))\/(3\/(-18)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/21 - (-216)\/21*29. Let s = z - 176. Calculate the remainder when s is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*p**6 + 5*p**2 - 7*p**2 + 5*p**6 wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 9913, 19675, 29471, 39319, 49237?\n\"Answer: 3*l**3 - l**2 + 9744*l + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*r**5\/3 + 204*r**4 - 8628*r**3 + 285388*r**2\/3 + 490688*r + 528528 = 0. What is r?\nAnswer: -2, 33, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8498.005l?\nAnswer: 8498005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 242*c - 54737. Give v(227).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4*d**2 - 4*d - 15. Let k(g) = -g**2 - g + 4. Suppose 5*q = 5*v + 3*q + 1, -7 = -v + 4*q. Let u(b) = v*r(b) - 5*k(b). Give u(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m + 5*m - 3*c + 29, -7 = -2*m - 5*c. Let p(b) = b**3 + 5*b**2 + 2*b - 1. What are the prime factors of p(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -13*x + 12*x. Which is the smallest value?  (a) 1\/5  (b) -3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 5 + x + 15260*x**2 - 15132*x**2 + 2*x**4 + 3*x**3 - x**4 - 5*x**4 to a*x**3 + r*x**4 + i + v*x**2 + m*x and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/64, -1\/32, -1\/4, -1 in ascending order.\nAnswer: -1, -1\/4, -1\/32, 1\/64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 236953643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 14 = c, -3*g - 5*c = -4*c - 21. Let o = 4 - g. What is the second biggest value in -2, -0.1, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -1, -2, 1, -12, 238 in decreasing order.\nAnswer: 238, 5, 4, 1, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3389\/22 - 71297\/462. Let l = o + 2\/21. What is the third biggest value in 3, l, -1\/10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -4*u + 12, 6 = -4*l - u + 3*u. Suppose l = -3*n - 0 + 9. Solve 3*s = s - n*h - 4, -2*s - 5*h = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 11*o**2 - 59*o - 193. Let m be l(-15). Let d = 115 - 323. Are m and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.7872735 centimeters?\nAnswer: 7872735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 172135 is divided by 85828.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (12 - 3 + 0)*(0*h**2 + 3 - 5 - h**2) in the form c*h + j*h**2 + w and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/2 - 461*v**2\/2 + 1868*v - 3752.\nAnswer: -(v - 4)**2*(v + 469)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of 0*u**4 + 0*u**3 + 0 + 10*u**2 - 13\/120*u**6 + 0*u + 17\/60*u**5. Find the third derivative of l(m) wrt m.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 48 = 16*q + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 - 14*f - 9. Let m be o(-13). Suppose 0 = 3*a - 5 - m. Let w = a + 8. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -109*o**2 - 4*o. Let m(y) = -260*y**2. Determine k(m(l)).\nAnswer: -7368400*l**4 + 1040*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 0 - 39*g + 1 - 2. Let y be t(-1). Suppose -76 = -2*r - 4*l, -l = -2*r + 33 + y. What is the remainder when r is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2807860.3062 to the nearest one thousand.\nAnswer: -2808000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 - -11. Let w = -12 - -16. Calculate the remainder when w*-1 - 102\/r is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131045191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 98 - 55. Let w = z - 41. What is the smallest value in w, 1.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.357*-1.8\nAnswer: -0.6426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-294)*-4 + (-317)\/21 + -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in -0.2, -0.1, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*o**3 - 300*o**2 - 302*o**2 + 602*o**2.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -185, -181, -177, -173, -169, -165?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-180)*((-625)\/15)\/((-4)\/(-3))?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 5*o - 8 = -3*f, -2*f + 34 = 5*o. Let i(q) = q**3 - 4*q**2 - 2*q - 13. Let j be i(6). What is the remainder when (j\/3)\/((-5)\/(-15)) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -471924000 rounded to the nearest one million?\nAnswer: -472000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v**3 - 2*v**2 - 6*v + 4. Let g be f(5). Let j be (-1)\/(2\/g)*(-1)\/3. What is the derivative of -40*z**4 + 1 + j*z**4 + 1 wrt z?\nAnswer: -44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 117, 220, 301, 348, 349, 292, 165, -44?\n\"Answer: -2*u**3 + u**2 + 114*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1288, -1666, -2044, -2422?\nAnswer: -2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3a3d64 (base 15) in base 8?\nAnswer: 12527717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10362257 is divided by 369.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -3*j + 3. Let p(v) = 4*v - 4. Let c(z) = 3*m(z) + 2*p(z). Calculate c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -39*f**2 + 38*f**2 - 4 - 49407*f + 49398*f. What is x(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b - 1. Let c be y(-3). Let l(j) = 2*j**2 - 7 + 7 + 0*j**c. Let i(f) = -17*f + 230 - 230. Calculate l(i(o)).\nAnswer: 578*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(320) + -1)**2.\nAnswer: 16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 4 = -m, -5*n + 3 = -8*n + 3*m. Let s be (n - -2)*2*15. Solve 4*k + r = -k - s, 0 = -k - 3*r - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-124)\/13 - (248 - 258)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 429 = 14*z. Suppose 3*d - 528 = -z. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x + 3. Let a(p) = -3*p + 4. Let u(b) = 3*a(b) - 4*i(b). Let j(t) be the second derivative of t**4\/6 + 4*t. Calculate u(j(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -1\/3, -105, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 0*h + 12. Suppose 0 = h*u + 4*m + 26, -2*m - 6 = -2*u - 0*m. Let o = 0.0418 - -0.2582. Which is the nearest to -0.4?  (a) o  (b) u  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = c + 3*i, -3*i = -c - 0*i + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -61.36004 and -17324.\nAnswer: -17385.36004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**4\/3 + 48*n**3 + 1288*n**2\/3 + 992*n.\nAnswer: 2*n*(n + 4)*(n + 6)*(n + 62)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**2 - 2*a**2 + 2*a**2 - 2*a**2 + 2 - 2 + (-a + 0 - 10 + 0)*(-88 + 88 + 51*a).\nAnswer: -51*a**2 - 510*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3*45\/(-210)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -513  (b) 2\/5  (c) 0.11  (d) -1\/2  (e) -4  (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**2 - 4*y**2 + y**2)*(-8*y**2 + 8*y**2 - 7*y**3).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/1104592816 and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -8027 (base 9) in base 14?\nAnswer: -21c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 8:44 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-11)\/(-3) - (-8)\/(-12). Suppose 0 = -t - s*t + 12. Suppose -2*y + t = -y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*p + 2906 - 2766 + 194*p.\nAnswer: 228*p + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = 3*q - 3*z, -5*q = -3*z. Suppose q = t - 3*v - 131, v + 4*v = 2*t - 266. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3137.372 years to months.\nAnswer: 37648.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1675008 (base 12) to base 9.\nAnswer: 8640868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/34396 and -83\/14291538?\nAnswer: 28583076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-38142)\/(-324) + 4\/(-18))*502. Let t = 3656987\/62 - y. What is the common denominator of 25\/8 and t?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5313.725l to millilitres.\nAnswer: 5313725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(1584) + 0 + (sqrt(1584) - ((sqrt(1584) - (sqrt(1584) + sqrt(1584)*-1) - sqrt(1584)) + sqrt(1584))) + 5)**2.\nAnswer: 192*sqrt(11) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 696073?\nAnswer: 7, 99439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -127*p**3 - 2*p**2 - p + 2. Let x be a(-1). Calculate the greatest common divisor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + 0. Let a = 23 - k. Suppose 5*o + a = 0, -3*n - 4*o + 32 = n. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*f - 60*f + 8*f + 6*f.\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -55185 (base 9) in base 4?\nAnswer: -20330000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -138?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + -4 + 4)\/(-1). Solve -2*g + 5*s - 27 = 0, -s - r = -5*g - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2337.5709009 and -5.\nAnswer: 2332.5709009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is z in z**4\/7 - 147*z**3 - 3*z**2\/7 + 3085*z\/7 + 294 = 0?\nAnswer: -1, 2, 1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 198497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*u + 4*r - 12 = -129*u, -5*r = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -87e78 (base 15) to base 11\nAnswer: -275536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1919 + 3*d - 878123*d**2 + 530 + 878125*d**2.\nAnswer: 2*d**2 + 3*d - 1389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -222, -89, 2 in descending order.\nAnswer: 2, -89, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3d33b3 (base 16) to base 6\nAnswer: 221545043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19)\/(38\/4)*11\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.01 + -1.99. Let t = 160 - 233. Let c = -364\/5 - t. Sort 2\/7, d, c in descending order.\nAnswer: 2\/7, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5974, 23890, 53750, 95554, 149302, 214994?\nAnswer: 292630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 2*f + 15. Let k(n) = 5*n + 29. Let c(s) = 3*k(s) - 7*m(s). Let i be c(8). Let p(y) = y**3 + 11*y**2 + 10*y + 3. List the prime factors of p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/68664530 and 37\/40.\nAnswer: 274658120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -8497*-1056.9\nAnswer: 8980479.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 4*b - 3*b - 3, 2*r - 1 = -b. Let i be 0 + (0 - 2)\/r. Suppose p - 17 = i. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 11:28 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 195\/9 - 2\/3. Suppose -b + 3 = 6*d. What is the fourth smallest value in 0.5, d, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/8077896 and -37\/7068159?\nAnswer: 56545272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -215730 = -7*n - 56837. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-415)\/166*8\/(-70)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18674806*q**3 + 36*q + 54052 wrt q.\nAnswer: -112048836*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85)\/sqrt(3645))**2.\nAnswer: 17\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.067655 and -127.769322?\nAnswer: 127.836977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8313356341.999998184 - -8313356182. Let h = -160 - m. Round h to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*c + 3*b + 21 = 28*c, -4*b - 25 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -20001243101?\nAnswer: 20001243101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 24.053 and -20332.29018.\nAnswer: -20308.23718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 4*h**3 - 444*h**2 + 1728*h - 1712 = 0.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2.81381 + -0.02\nAnswer: -2.83381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.5, 13, 2, 6389, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 179\/4 + -45. Let h = 0.1 + 0.9. Let q be (-3 - -4 - 4)*(-16)\/80. Which is the closest to -0.1?  (a) h  (b) q  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18656\/(-20988)*9\/2*52\/(-2)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1864, 4504, 7144, 9784, 12424, 15064?\n\"Answer: 2640*b - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 492 - 975 + 483 - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(19) + 2 - 6*sqrt(95)\/sqrt(5).\nAnswer: -5*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 15.304 + 0.04\nAnswer: 15.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 1377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -364483*j**2 - 13*j. Let x(r) = -2*r. Determine x(z(n)).\nAnswer: 728966*n**2 + 26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.873893mm in kilometers?\nAnswer: 0.000000873893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v**(-3\/2)\/v))**(-2)\/(v**32\/(v\/(v*(v\/((v\/v**(-13))\/v))\/v*v))) assuming v is positive.\nAnswer: v**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1687?\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-11 + 1)\/(1\/(-2)). Suppose -4*t = f - o, 2 = 4*t - 2*f - 6. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 10:43 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*v, -1282 = -5*d - 3*v + 1291. Let i = d - -39. Suppose -5*f + 224 + 2541 = -4*w, i = f - 5*w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100776917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 10 = -4. Let g = 264 + -267. Sort g, c, 4.\nAnswer: c, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-8\/5)\/b)\/b*b)\/b**(-11\/4)*(b**(-1\/8))**(4\/9) assuming b is positive.\nAnswer: b**(197\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 - -1)\/((-4)\/28). Suppose -2*j + 11 = b. Let c(x) = 30*x - 3. Is c(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.518 + -1.47. Let j = -0.048 + w. Suppose 4*u = -2*z + 2, -5*z + 1 - 2 = 4*u. Sort u, 4, j in descending order.\nAnswer: 4, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((30\/9)\/(-2))\/(-13*(-8)\/1872).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 504*(17\/(-4) + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10945440 and 6160.\nAnswer: 76618080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3 - 22*u**2 + 13*u + 29*u**2 + u. Let z(w) = 3*w**2 + 7*w + 1. Let q(l) = -4*o(l) + 9*z(l). Calculate q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + x = -2233, -o + 153 = 4*x - 384. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -113  (b) -0.2  (c) 4  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10062100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -60*a*d**3*z**2 + 8*a*d**2 + 57*a*d - 404*d**3*z + 21*d**3 wrt z?\nAnswer: -120*a*d**3*z - 404*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-207 - 2)*(-2)\/2?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w - 1. Let z(p) = 2*p. Let b(i) = n(i) - 5*z(i). Calculate b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 16 = -5*g, -5*f - 20 = -7*g + 2*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-45)\/27)\/1 + 1276\/33?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 40 = 5*o. Let w = o + -17. Suppose k + 277 = 5*c, w*k + 281 = 2*c + 3*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - 21*q**2 - 3*q - 65. Let d be a(-21). Sort -5, -7, d in increasing order.\nAnswer: -7, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20010002 (base 3) in base 12?\nAnswer: -26b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -10*j + 10. Let k be i(-8). What is the derivative of k*g - 26*g**3 + 24 - 90*g wrt g?\nAnswer: -78*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 4)*(0*p**4 + p**4 + 0*p**4) + 25*p**3 - 25*p**3 - p**4 + 0*p**4 - 5*p**4 + 3*p**4 + p**4 - 1 - 2 + 0.\nAnswer: -4*p**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 100\/31131 or 1?\nAnswer: 100\/31131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 + (-23 + 8 - -5) + 7. Put -4, 10, -1, u in increasing order.\nAnswer: -4, -1, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -872*p**2 + 82 - 113*p**2 - 82.\nAnswer: -985*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 5*m = -3, -5*m = -1 - 4. Let w(f) = f**3 + a - 5 + 2*f**2 - 4*f**3. Let j be w(-1). Put j, -4, 5 in increasing order.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - t = -197, 5*g + 0*g - 328 = -2*t. Suppose 0 = -5*x + 2*x + g. Calculate the greatest common factor of x and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 736248492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -3. Let p be 10\/(-4) - (0 - 2). Let n = 0.2 - 0.3. Which is the closest to n?  (a) p  (b) 3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11\/(-6) - 68\/102)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -24  (b) 2.8  (c) 6  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -37.56855+4\nAnswer: -33.56855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 3:50 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccxipcicccpcc. What is prob of sequence icxi?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of 5*c**4\/24 - 19*c**3\/3 + 23*c**2. Let m be l(9). What is the greatest common divisor of 56 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 AM and 8:59 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -200131 - -122?\nAnswer: -200003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*i**3 + 0*i**3 + 2*i**4 + 0*i**3)*(-1363*i - 861*i + 207*i - 124*i).\nAnswer: -4282*i**5 - 8564*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*l**3 - 55*l**3 - 296*l - 11 + 145*l**3 - 10*l**3 - 4*l**2 + 27 = 0. What is l?\nAnswer: -2, 2\/37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -74 in 3520, -4, 4\/5, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/(3\/1) + 2. Let n(b) = b**3 + b**2 + b + 1. Let p be n(y). Suppose 5*h = h - 3*j + 11, 7 = h + 5*j. Solve h*i - x = x + 12, 4*i + 5*x - p = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2210 (base 3) to base 4\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (30 - 36) + -35 + 7 + -9 - (-2 - 4)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - 2*a - 3. Let m be v(5). Suppose -4*f - m = -60. Solve r - 5*r = -f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-19 + (4 - 0))*-4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2740712 + -1829873. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2 + 2. Let t be h(2). Suppose -t = -0*j - 5*j. Factor -2*c**j + 8 + c**2 - 4*c + 3*c**2 - 6.\nAnswer: 2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1782 = -739800*z + 739827*z for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - -15b?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of n**5\/15 + 2*n**2 + 4. Let y(d) be the second derivative of r(d). Let b(k) = -k**2. Give y(b(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276889 is divided by 8143?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 - -28 - (-2 + 20 - (-16 - -17)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(153)*-2 + 2 + ((sqrt(153) + (sqrt(153) + -2)**2)*5 - (((sqrt(153) + 0)**2 - sqrt(153) - sqrt(153)) + -4)).\nAnswer: -63*sqrt(17) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.2, 1, -5, -1\/2, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -38*y. Let t(z) = 409*z**2 - 3*z - 4. Determine v(t(x)).\nAnswer: -15542*x**2 + 114*x + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 334 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-22)*(h*h**(-2\/97)*h)\/h)\/((h**15\/h)\/(h\/(h*h*h**(-7\/2)))) assuming h is positive.\nAnswer: h**(-6309\/194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 170?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does -354\/23 = -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 - 3*t + 5. Let n = 113 - 108. Suppose -n*k = -45 + 80. Determine o(k).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 102 = -5*k - 36, 0 = -4*x + 2*k - 6. Factor 0 + 1\/2*c**4 + 0*c**x + 0*c + 0*c**2.\nAnswer: c**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-1 + sqrt(125))*3 + (sqrt(5) - sqrt(20)\/(sqrt(256) - sqrt(4)) - (-2 + sqrt(320))))**2.\nAnswer: -110*sqrt(5)\/7 + 15174\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.254 + 0.254. What is the fourth smallest value in x, 2\/5, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 581 + 770. Let g = t + -910. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 416 - 411. What is the greatest common factor of 365 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -9, 4, 2, 1 in decreasing order.\nAnswer: 7, 4, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 5878 divide 761667289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1319559 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rhr when three letters picked without replacement from rrhh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3*2\/1 + 0. Let b(j) be the first derivative of j**5\/120 + j**4\/12 + 32*j**3\/3 - 98. Let i(v) be the third derivative of b(v). Calculate i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2 - 3*a - 14. Calculate n(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.3 + 9.3. Which is the nearest to -1?  (a) 2\/13  (b) -1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3294 and 14526.\nAnswer: 886086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 48 - 44. What is the second smallest value in 0.5, -4, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**2 + 3. Let i be 1\/(3 + 24\/(-9)). Let c be z(i). Let t be 6 - (-7)\/(c\/(-6)). Solve 2*d = 6*d + t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 2\/5  (c) 1\/8  (d) -2\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 77, 16 in decreasing order.\nAnswer: 77, 16, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1081469.\nAnswer: 61, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m + 4. Let z(s) = s**2 - 7*s - 5. Let t be z(7). Let f = -5 - t. Let h be x(f). Solve 3*d - 7*d - h = u, 2 = 5*u - 2*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 1:52 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/14)*(w**(3\/5)\/w)\/w assuming w is positive.\nAnswer: w**(-103\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/2 + 327*x**2\/8 - 121*x\/4 - 81\/8.\nAnswer: -(x - 81)*(x - 1)*(4*x + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 49 + -31. Suppose j + r*j**3 - 36*j**3 + 17*j**3 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -140*p**2 - 34*p**2 - 164*p**2 as f + w*p + t*p**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/16*(15\/(-135))\/(-7 + (-747)\/(-108))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p\/(((p*p*p\/(p**4\/p)*p)\/p)\/p)*p*p))**(-7\/6) assuming p is positive.\nAnswer: p**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c + 163 = 464. Suppose c*n + 81 = 52*n. Sort 0, -3, n, -2 in decreasing order.\nAnswer: n, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 21\/12 - (-5)\/20. Suppose 4*k = -4*v + 23 + 241, j*v - 3*k = 117. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9199476*g**3*w + 3*g**2*w + 3*g**2 + g*w + 31*g - 4616 wrt g.\nAnswer: -55196856*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - d = 3*h - 11, -2*d + 13 = 5*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((7\/(-7))\/((-30)\/24))\/((-18)\/2025*3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-1*(sqrt(6) + sqrt(24))\/sqrt(3)*-3.\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/6)\/((-15)\/(-10)*7\/(-504)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 1 - (-2 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -1271 + 1266 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/2*4\/(-10)*(-1025)\/(-6150).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = -4*i - 10, 10 + 10 = 2*w - 4*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -28*k + 55. Let l be v(2). Let g(i) be the first derivative of 310000*i**4 - i**3\/3 + i - 1. Let z be g(l). What is z rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dqq when three letters picked without replacement from dqqdqqdqqqqqqq.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11346330 or 11346327?\nAnswer: 11346327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 5 + (9 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.04  (b) 538  (c) -6\/22177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 80 = 112. What is the smallest common multiple of i and 136?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 9, j: 10}. Give prob of sequence jk.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23477821745*o - 3 + 23477821743*o + 3.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 3*k - 27, 0*r - k - 7 = -3*r. Let c be 5*1\/5 + r. Let a = 15 - c. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-11)*n\/(((n*(n*n\/n**11)\/n)\/n)\/n))\/(n*n**4*n**(-7\/3)) assuming n is positive.\nAnswer: n**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18437 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -364 - -381. What is the first derivative of 0 - g*z**2 - 34 - 5*z**2 + 185 + 3*z**4 wrt z?\nAnswer: 12*z**3 - 44*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -11.9. Let g = 4 + -4.2. Let m = n + g. What is the smallest value in 0.5, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -2*x - 205. Suppose -6*j + x = -j. What is the remainder when j is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 3*s + 22, -2*s - 27 = 5*m - 3. Let p = -3.9 + -3.1. Sort s, -1, p.\nAnswer: p, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.93403813 rounded to two dps?\nAnswer: -22.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -18138*f + 245. Is k(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 1, 1\/2, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 divided by 12250?\nAnswer: -2\/1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of 0 - 70*f + 7\/3*f**3 + 0*f**2. Let z(p) = 5*p**2. Calculate z(r(l)).\nAnswer: 980*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 - 14. Suppose -193 = -3*x - h*n, -4*x = -5*n - 140 - 76. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-26)\/(-4) - 6)*(-1)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oncccoccocoon. Give prob of picking 3 o.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -243.09 - -242. Let w = u + 3.32. Let t = -2.2 + w. What is the second smallest value in 3, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -11*o + 75. Give g(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15.6 + 17. Let d = g + -0.9. What is the third smallest value in -0.5, 3\/5, d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*i - 30*i + 533. Solve z + 3 - 10 = -w, w = -4*z + i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f**2 + 129*f - 501. Let j be y(4). Let k(c) = -8*c**2 + 6*c + 3. Let a(l) = 25*l**2 - 17*l - 9. Give j*k(b) - 6*a(b).\nAnswer: -14*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 84303.81l in millilitres?\nAnswer: 84303810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 62 + (12 - 34) + (-108 - -198)\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8189 - 3289. Let i be (f\/(-12))\/(3\/1080). Round i to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24656208 and 592.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158 + 242 = 5*s. Let d = s + -30. What is the highest common factor of d and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 2. Let g(u) = -u**2 - 8*u - 7. Suppose 5*p = -4*y + 4*p + 13, -5*y + 2*p = -26. Calculate the smallest common multiple of g(s) and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 51968 + -51968.0000021207. Round t to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-123571)\/(-176530))\/((-238)\/15).\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10586175 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001092 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 9*h + 38. What is c(0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5202*c**3*l**2 - 1300*c**3*l + 6*c**2 - 120*c*l - 780*l**3 wrt l?\nAnswer: 10404*c**3 - 4680*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 188 + -184. Solve 17 = -5*d - m, -m = b*m + 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 375853.\nAnswer: 17, 22109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1380*t = 34967 + 24146 - 14953 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 71\/(10934\/(-264))*7\/5*-1?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2877\/5 - 550. Let x = f + -1407\/55. Let g = -0.3 + 0. Sort g, x, -3.\nAnswer: -3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of 3*k**5\/20 - k**4\/24 + 3*k**2. Let r be z(-1). Solve 0*v - r = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqyntqwqttyg. What is prob of sequence nwq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 179\/480 and -79\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 2*r + 1. Let x = -245 - -253. Suppose 18*q - x = 10. Calculate g(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.42 - 172573.6?\nAnswer: -172594.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 34 + 11 = 0. Suppose 5 = 5*w - s. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3470910 or -3470913?\nAnswer: -3470910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/12464 and -47\/81016?\nAnswer: 162032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 + 20 - 18*d**2 - 35 as s*d**2 + y + c*d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 425 - 32*x**2 - 425 + 31*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3869865 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -6, 21, -2, -16, -3, -1 in increasing order.\nAnswer: -16, -14, -6, -3, -2, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 79*a**3 + 3*a**2 - 1. Let u be m(1). Is 10 a factor of 9702\/u - 2\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -2*c - c + a, -3*c + 29 = 4*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6*3\/6)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.4 and -11598581703.\nAnswer: -11598581702.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2753, 0, 7, -4, 4 in ascending order.\nAnswer: -2753, -4, 0, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31316*s**3 - 15629*s**3 - 15709*s**3.\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1407744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*d - 442*d**3 - 6 - 410*d**3 + 0 - 16*d**2 - 6 + 930*d**3 = 0. What is d?\nAnswer: -6\/13, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -579*o + 1148*o - 572*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.274 + 3.774. Suppose 4 + 2 = -c. Let n = -5 - c. Put 0, -0.1, n, k in decreasing order.\nAnswer: n, 0, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150302 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 101346 at most 101346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 7*o - 20 = 0. Let q be (-2)\/4*(o - 19). Let v = -5 + q. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 72 + -47. Let a = -11 + w. Suppose 30*m - 37*m = -77. Calculate the lowest common multiple of a and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2975 - -2451282826.\nAnswer: 2451285801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -434 - -891. Let w = -417 + m. Put w, 4, -0.6 in decreasing order.\nAnswer: w, 4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -699753 divided by 3\nAnswer: -233251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -1366*z + 101. Is d(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 3*f + 6, 5*f + 9 = 4*m - 5. Suppose -x - 8 = -m. Put 5, x, 8 in ascending order.\nAnswer: x, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 168, 143, 102, 45, -28, -117, -222?\n\"Answer: -8*l**2 - l + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 666*b - 3*b + 66138 = 37024 - 49120 for b.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.081 times -79?\nAnswer: 164.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q - 5. Let v be j(7). Let c be (-32)\/(4 - 0) - v. Is (1045\/c - 4)*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 526 = -3*d - 181, 0 = -5*z - 5*d - 405. Let l = z - -221. Let k = -40 + l. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 7*s + 8. Give l(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cdjjpjwdpwjccajpwjpp. Give prob of sequence dcwd.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 106260 divided by 1.\nAnswer: 106260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -795, -1608, -2419, -3228, -4035, -4840?\nAnswer: -5643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-408)\/(-68))\/(((-5)\/15)\/(-22*3\/36)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 954*a**6 - 1071*a**6 + 88*a**2 - 4*a**2 wrt a.\nAnswer: -14040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {s: 3, o: 1, k: 1, m: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-2)*-2 - 1. Suppose h*j + 750 = 3*j. Round j to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0230317 + -189.2745317. Let t = m + 189.26050043. Let n = -0.009 + t. What is n rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -8*j - 34. Let q be z(-5). Let c be (-14)\/7 - (q - (-2)\/(-1)). Is ((-9)\/c)\/((-9)\/(-1902)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570830 rounded to the nearest 1000?\nAnswer: 571000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*h + 37*h = -135*k + 28*k - 320, -8*k = -3*h - 49 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7785969 a multiple of 1108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -2, -520, 5, 354 in decreasing order.\nAnswer: 354, 5, 3, -2, -5, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-130)\/15)\/(3\/9). Let i = q - -48. Let y = i + -1. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9967*c**2 + 1 - 128*c**2 + 1641*c**2 - 1.\nAnswer: -8454*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 263\/2*(-240)\/36*-12. Let d be (-13)\/(-39) - (n\/(-3) + -1). Suppose 3*y = -y + d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*o**3 + 2*o**3 + 0*o**3 + (-5 - 1 + 5)*(-3*o + 3*o + 2*o)*(-7*o**2 - 13*o**2 + 5*o**2).\nAnswer: 29*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 4)*(5*w**2 - 2*w**2 - w**2)*(28 - 28 + 6*w) + 3*w**2 + 21*w**3 + 0*w**3 - 6*w**3.\nAnswer: 27*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s - 12. Let q be y(-7). Let b(x) = 3*x**2 + 0 - q - 4*x**2. Let r(a) = a**2 + a + 1. Let c(p) = -3*b(p) - 6*r(p). Factor c(u).\nAnswer: -3*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0037 + -216.0037. Let r = 214.37 + n. Round r to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1222, 3628, 10248, 23218, 44674, 76752, 121588?\n\"Answer: 356*c**3 - 29*c**2 + c + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -129888, -518980, -1167468, -2075352, -3242632, -4669308, -6355380?\nAnswer: -8300848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*p + p + 1056. Suppose -4*k = 22 - p. Let m = 157\/17 + 9\/34. Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (-9)\/(-3)*(30\/(-6))\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 113 = 5359. Let o = f + -1235. Is 57 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 29 = -3*f + 4, 4*v - 4*f = 36. Suppose -2*n + 16 = 2*n + 3*w, 5*w + v = 3*n. Let r = 176 - 170. Solve 5*u - r = n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3  (b) 3\/2753  (c) 0.1  (d) 4  (e) 0.187  (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -abcc (base 14) to base 5.\nAnswer: -1423101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 21209096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106960137 is divided by 252.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that a**2 + 12325*a - 49316 = 0.\nAnswer: -12329, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, e: 9}. What is prob of sequence weww?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r*((r*r**(3\/5)*r*r*r)\/r)\/r)))\/r*(r*r**(-2\/11))\/r)**(-10) assuming r is positive.\nAnswer: r**(-266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 2 + 3*v**2 - 5*v**2 + 5*v**3 + (-5*v**3 + v**3 + 2*v**3)*(1 + 0 + 0).\nAnswer: 3*v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 16 = -8*l. Suppose s + l = 10. What is the least common multiple of 7 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*r - 145*r - 108 + 7 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.3 + -3.3?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3714.100006151 + 3714.1. What is l rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1075 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - -12) + -3 + (3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 692386\/11 + -62944. Find m, given that z*m**2 - 4\/11 + 2\/11*m = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2271, -2269, -2267, -2265, -2263, -2261?\nAnswer: -2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 174 - 163. What is the remainder when 28 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198013 is divided by 448.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 16210635 (base 7) to base 12\nAnswer: 636150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 - 18.9. Let v = -314.06 + 318. Let f = -0.06 - v. Which is the closest to p?  (a) 5  (b) 1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 22*z. Let w(r) = r**2. Determine d(w(i)).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 9250, 10412, 11574, 12736, 13898?\n\"Answer: 1162*v + 8088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2+-3.68094565505\nAnswer: -5.68094565505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 1)*(-2*l**2 - l**3 + 2*l**2) - 198*l**3 + 88*l**3 + 51*l**3 + (-l**2 + 3*l**2 + 0*l**2)*(-2*l - 5 + 5).\nAnswer: -64*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1032 and 1321128?\nAnswer: 56808504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141 = -p - 4*p + a, 149 = 5*p + a. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 931, 933, 935, 937?\nAnswer: 939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 1018*r + 11. Let d(n) = -1018*n - 10. Let b(t) = -t - 6. Let w be b(-9). Let z(c) = w*p(c) + 4*d(c). Is z(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19683860 is divided by 4920965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 14*n**2 - 52*n**2 + 18*n**2 - 81*n**2. Let g(c) = -c**2. What is p(g(t))?\nAnswer: -101*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 938*l - 933*l - 3870 = 0. Let b = 768 - l. Let j(u) be the third derivative of -u**5\/60 - u**4\/4 - u**3 - u**2. Determine j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 131 + 1?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28\/2 + 1088\/(-48)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1461342535 to three dps.\nAnswer: 0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3 + 1.7. Let g = t - -6. Let f = -6 + g. Sort -1, -0.1, f.\nAnswer: -1, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of s**5\/120 - s**4\/8 - s**3 + 2. Let f(j) be the third derivative of n(j). What is the first derivative of f(x) wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.639, -2\/5, 1397, -2\/7 in descending order.\nAnswer: 1397, 2.639, -2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 20*b**2 - 22*b - 49. Calculate t(-21).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.24 + -0.06. Let u = 8 + -7.6. Let i = u + r. Which is the third biggest value?  (a) 3  (b) 0.4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + -5. Let l(o) = -3 - 2*o + 4 - x*o**2 + 17*o**2. Let r(q) = q + 4. Let m be r(-3). Give l(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 3*d = 11 - 27, 2*d + 20 = -5*u. Which is the third smallest value?  (a) -1  (b) u  (c) 2\/865\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1526\/327)\/(4\/3 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 + -29. Let v = p - -74.116. Let l = v + -0.1511. What is l rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 12*y + 26. Determine c(-9).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19552, 40774, 61996, 83218, 104440?\nAnswer: 125662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 253 + 168. Let w = 423 - i. Solve 0 = -4*u + 4*j - 4, w*u + j = 5 - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 PM and 6:48 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -364 divided by -7.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*y - 75 + 11. Let c be (-8)\/19*1*(y - -7). Put 0.1, c, -1 in increasing order.\nAnswer: -1, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -531 (base 15) to base 5.\nAnswer: -14141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 - 5*s**2 - s - 3. Let o be l(-5). Let n(h) = h**2 - 14*h - 3. Let k be n(15). Suppose k*p + 18 = 15*p. Solve -o*c = -p*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 76, -1, -9 in descending order.\nAnswer: 76, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, s: 1, o: 3, n: 1, h: 2, m: 8}. What is prob of sequence som?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -32\/4800473?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -101\/5.\nAnswer: -101\/5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 531 = 6285. Suppose 702 = -3*a + d. Suppose -3*u - a = -5*s, 5*u + 2 = -13. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q + 5. Let b = 9 - 14. Let r be c(b). Does 5 divide r\/((-10)\/8) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5690 - 5536. What is the greatest common divisor of 112 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.00145 and -229.\nAnswer: 0.33205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -44*s + 2. Let i(q) = -20*q**2 - 1. Calculate c(i(y)).\nAnswer: 880*y**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 10920919 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(13) + 0)*-2)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.0377, 3\/7, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 10879 = -4*c, 2*k - k - 2173 = -2*c. What is the remainder when k is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -227*q**2 + 265*q?\nAnswer: -454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 448558 is divided by 360?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 699941?\nAnswer: 11, 17, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*o - 23*o + 3*o + 14042.\nAnswer: o + 14042","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1680 and 1221240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1157847?\nAnswer: 3, 107, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*f = -118*f + 192 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 PM and 6:25 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from iopphii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -32*y - 2. Let h(k) = -20*k. Calculate h(v(p)).\nAnswer: 640*p + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29225 + -7965. What are the prime factors of q?\nAnswer: 2, 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 + 6. Let w(d) = -d**3 + 15*d**2 - 10*d - 3. Let t be w(y). Let b be 14\/35 - (1 + t\/5). Solve 0 = -a - 2*m - m - 2, 0 = 5*a - 5*m - b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 34368853 - 34368907.600263. Let m = c - -54.6. Round m to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*h - 3 - 13*h + 3 - 15*h + 71*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d + 3*d - 2*d)*(44*d + d - 26*d)*(-4 - 1 + 3).\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 758031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of -33\/2*c**2 - 1\/4*c**3 - 175 - 129\/4*c. Factor m(u).\nAnswer: -3*(u + 1)*(u + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 + 7*r**2 + r + 10. Let l be f(-7). Suppose -4*k + l + 5 = 0. What is the units digit of (3 - 4)\/k*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = -6*y - 2*d + 14, 0 = -3*y + 4*d - 21. Let z = 63 + y. Let c(r) = 6*r**3 + 2*r - 1. Let u be c(1). What is the highest common divisor of u and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6386*b + 3319*b - 786105 = 0 for b.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 44, -5, 1\/22, 0.2, 22\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**5 + 1576*g**4 + 96048*g**3 + 2111768*g**2 + 15817100*g.\nAnswer: 4*g*(g + 23)**3*(g + 325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 8 = 0, -2*h + 5*h + 11 = -5*t. Suppose -b + h*b = -14. Let a = -4 - b. Calculate the lowest common multiple of a and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 128.8553 - -0.1447. Which is the third smallest value?  (a) -1\/5  (b) v  (c) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of -73*w**2 - 21*w + 119. What is the derivative of g(r) wrt r?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 - 10*x**2 + 49*x - 150. Let n be k(-14). Suppose 0 = 4*y - 84 - 292. Let c = y + n. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*p**2 - 38 + 0*p**2 + 2*p**2 - 42 + 14*p**3 - 16*p**3 in the form s*p + c*p**3 + t + l*p**2 and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((24\/(-22))\/(-4))\/(286\/1573)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 620712.1ml to litres.\nAnswer: 620.7121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.053 + -0.153. Let s be (0 - -6)*(-1 - 0). Let u be (-26)\/s - 1\/3. Which is the third biggest value?  (a) 0  (b) w  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 2)*(-3 - 1 + 3)*(-23*a + 7*a + 5*a)*(4*a**3 - a**3 - a**3).\nAnswer: -66*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ansa when four letters picked without replacement from allskknlkiaiiliai?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -1 + 0*z + z + 0*z. Let h be u(1). Suppose -5*s - 5*w = -45, 2*s - w = -h*s + 3. Solve -s*g = 2*m - 2, 2 = -4*m - 2*g - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 19*g**2 + 25*g - 22. Let r(b) = -4*b**3 + 105*b**2 + 82*b - 7. Let v be r(27). Determine s(v).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 3 + 12 = 0. Which is the third biggest value?  (a) -4  (b) -0.5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.95555 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2 - 4*q)*(-2 + 2 - 1) + 119*q - 4881 + 4881.\nAnswer: 123*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 17971 divide 3116745704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*l + 7 - 8*l - 5*l**2 + l to x*l + t + m*l**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 506641*r**4 + 4120*r**2 - 54.\nAnswer: 12159384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (90\/(-18))\/(2450\/30380)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-94)\/10 - (-2)\/5. Let b = 15 + f. Let o(s) = 8*s**2 + s. What is the least common multiple of o(-1) and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -468, -2731 in ascending order.\nAnswer: -2731, -468, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 969058 by -86.\nAnswer: -484529\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*v - 144*v - 67*v + 264*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-t**3 + 4*t**3 - 4*t**3)*((6*t - 3*t + 0*t)*(-1 + 7 - 2) - t + 4 - 4) as v*t**2 + r*t + u*t**3 + c*t**4 + x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 v when four letters picked without replacement from ppvpiippipipvvvvvpvv.\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjhpjjpjpppnnhjjpj. What is prob of picking 2 p?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1538, 3135, 4732, 6329?\n\"Answer: 1597*k - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 6*b. Let s(a) be the second derivative of -11*a**4\/12 - 9*a**2 + a - 1449. Give s(t(j)).\nAnswer: -396*j**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 128\/(-16)*(-1)\/1*-1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 316140 and 1980?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111100111110110 - -101000111011010?\nAnswer: -10100000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11658540 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/6 - (32\/12 + -4). Let m(u) = -52*u - 6 - 7*u**2 + d - u**3 + 47*u. Calculate m(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1265 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3237510, 6475052, 9712644, 12950310, 16188074, 19425960?\nAnswer: 22663992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -100217*u + 4108892. What is p(41)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 51 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*((-4)\/(-10))\/((-18)\/(-15)). Let o(b) be the first derivative of -1 + 1\/4*b + f*b**3 - 3\/4*b**2. Solve o(g) = 0 for g.\nAnswer: 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*n = -229*n + 33*n + 593 - 2507 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 774\/54 - 4\/(-6). Suppose -155 = -a - 5*y, -a - 4*y + 286 = a. Calculate the greatest common divisor of a and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away 57882088723113?\nAnswer: -57882088723113.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 p when three letters picked without replacement from {u: 1, p: 2, t: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -27303950 times -0.2\nAnswer: 5460790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (10 + -1)*3*-1. Let k = y - -53\/2. Suppose -4*n + 4*w + 24 = 0, 4 + 2 = 5*n + 3*w. Sort k, n, -1\/7 in ascending order.\nAnswer: k, -1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -190 - 646 = 4*h. Is (-38)\/h + 459387\/33 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + ((-32)\/(-6))\/((-230)\/(-345))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u + 2*u - 4*u + 53 - 53.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -50*n + 2928 + 45172. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -4 + -30 + 14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 2*o - 92, 5*s = 3*o + 31 - 183. Let q be 3 - 4 - (s + -1). Let n be (-7)\/q - (-7)\/12. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/7  (b) 66\/13  (c) -20\/17  (d) -2.3  (e) -0.3  (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 5*o. Suppose 5*i = 4*j - 7*j + 18, 2*j + i - 12 = 0. Let m be (-20)\/(-4) - (j + 0). Let l(k) = -k. What is m*g(d) - 4*l(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 4*b - 18. Let s be (-12)\/(-27)*b\/4. Suppose -4*r - 3*h - 4 - 1 = 0, -5*h + 50 = -5*r. What is the smallest value in 2, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.25 - 137998\nAnswer: -137998.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(5\/2 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 279085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/55 in -2\/5, -0.1, -4, -147, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288*l + 914*l - 307*l - 289*l - 125*l**2 = 0. Calculate l.\nAnswer: 0, 6\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10559 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1301196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7\/5  (b) 2\/5  (c) -1.76  (d) 5  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -13882 - 1c1?\nAnswer: -13a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36730 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/9, 664\/5, -11, 0 in increasing order.\nAnswer: -11, 0, 4\/9, 664\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 5*l - 72, 2*s + 91 = 6*s + 5*l. Calculate the highest common divisor of 76 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v - 4363 = 3817. Is v != 409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 110751 and 96483.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -a + i, -6*i = a - 8*i - 24. Suppose a*f = 19*f - 595. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o**2 - 399*o + 399*o + 43963891 - 43963891.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m - 3. Let j be t(-5). Suppose -j*k + 7*k + 107 = -v, -5*v = -3*k - 81. Let c = k + 41. Solve 4*i = -c + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 257.513 millilitres in litres?\nAnswer: 0.257513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -280 = 3*r - 7*r. Suppose -2*m - 5*d - 1 = -r, -2*d + 37 = m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - 4) + (-11 - -36) + 45.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*p + 4*p + 5*p - 5*p in the form z + g*p and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**3 - 9746136*j**2 + 9746138*j.\nAnswer: -2*j*(j - 1)*(j + 4873069)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5118 divided by -3.\nAnswer: -1706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -0.1005, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15351 - 2?\nAnswer: 15349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2162403*d**2 - 3396*d - 4\/3.\nAnswer: -(2547*d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 119645575 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 33\/2 in 0.02, -1, 0.3, 871?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 at most as big as -3.62965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-9 - ((-689)\/52 - 4\/(-16)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 + 21. Let j = -6 + 13\/2. Which is the closest to -6?  (a) j  (b) v  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x. Let y(f) = -5*f**2. Suppose 4*q + 4*u = -16, -4*u = q - 5 - 0. Let s(a) = 4*a**2. Let l(m) = q*s(m) - 6*y(m). Determine l(i(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xleerqlq. What is prob of sequence ex?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-4))\/((-2)\/220). Suppose -4*y - p = -5*m, -y = m + m - 9. Let b = 17 - m. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 59525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/516 and -13.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 759180593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 1 + (1 - 1 - 1)*(-4 + 3 - 3) + 2 - 4 + 1)*(1 + 2 - 4)*(6*k**4 - 4*k**4 - 4*k**4).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 2.3. Let f = 284\/33 - 91\/11. Which is the closest to -0.1?  (a) l  (b) f  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -352 - 37841218.6?\nAnswer: -37841570.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 - 7*x**2 + x - 5. Let k be n(7). Calculate the highest common factor of k and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 104 + -94. Let a(j) = j**3 + 15*j**2 + 14*j - 3. Let f be a(-14). What is the closest to i in 0.5, f, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.4 + -0.5. Let f(u) = u**3 - 4*u**2 - 2*u + 13. Let l be f(3). What is the closest to a in -4\/7, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14*j**4*o - 90*j**3*o**2 + 8*j**2*o**2 - 576*j**2*o wrt j.\nAnswer: 336*j*o - 540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 125 - 66. Let b = d - 52. Does 8 divide (-196)\/b*(-4)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 109194, 109132, 109062, 108984, 108898, 108804?\n\"Answer: -4*t**2 - 50*t + 109248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 3*l, -2*s = -l. Suppose -u - 20 = -6*u. Suppose h + u*z = -2*h + 20692, -h + z + 6902 = s. Round h to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5}. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*y, -11*h + 16*h = -2*y + 7244. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.1122 and 1858895?\nAnswer: 1858895.1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -188?  (a) 1.9  (b) -2  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13792593181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -3*c - 35. Let i be r(-14). Suppose 368 - 1887 = -i*g. What is the remainder when g is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95341947.\nAnswer: 3, 593, 53593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 4*a**2 - 2*a + 5. What is g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -m**3\/4 + 7*m**2\/4 - 7*m\/2 + 2 = 0?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41 - -461\/12. Find the common denominator of 139\/540 and j.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + sqrt(42)\/(sqrt(18)\/sqrt(3)))**2*-4 + -2.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-318773)\/(-279) - 4\/(-9). Let s = x - 667. What are the prime factors of s?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42661 is divided by 636?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of -18*((-24)\/9 + 2) and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -3*n - 86639, n = -u - 3*n + 21674. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 64540 and 86?\nAnswer: 2775220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttb when three letters picked without replacement from {b: 2, t: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5160 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3678329 divided by -3?\nAnswer: 3678329\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -9344 + -1620.1?\nAnswer: -10964.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2277116 (base 9) to base 8\nAnswer: -4546352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 2 j, and 1 y when four letters picked without replacement from wjwwwwwywwjy?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 245 divided by -127?\nAnswer: -245\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 3*r**2 + 18 - 4*r**2 + 2*r**2.\nAnswer: -5*r**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -113\/48 + 3\/16. What is the common denominator of b and 79\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-72)\/(-140) - (-32)\/(-40). Which is the fourth smallest value?  (a) 5  (b) -0.2  (c) 0  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 9 + 0 = 0. Let z = u - -10. Solve 4*x = 4*c - 12, 0 = -z*x + 3*x - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*u + 139145 + 60249 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {k: 6, e: 1, d: 10}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0  (b) 12  (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 33*k - 113. What is w(6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 9*o = 288. Calculate the common denominator of -47\/4 and ((-9)\/3)\/9 + 834\/o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.29 - -1.29. What is the smallest value in -1\/18, -4, 0.3, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (263*i - 38*i + 87*i)*(3*i**2 + 31 - 2*i - 31) to a + n*i + t*i**2 + z*i**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -3*b - 12 - b**3 + 0*b - 3*b**3 - 9*b**2 + 3*b**3. Let t be -2*(1 + (-18)\/12)*-9. What is i(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2698 - -37799\/14. Calculate the common denominator of y and -41\/142.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18*d**3*x - 23*d**2*x**3 + 642*d*x**2 - x**3 wrt d?\nAnswer: 108*d*x - 46*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 1792437 and 1792437 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 6 = 9*b. Let l(t) be the third derivative of 1\/105*t**7 + 0*t**4 + 0*t**3 - b*t**2 + 1\/30*t**5 + 0*t + 1\/30*t**6 + 0. Let l(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -288, -1150, -2594, -4626, -7252?\n\"Answer: -i**3 - 285*i**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/14 and -39\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q + 8. Let c be b(7). Let j be 5*(c + 29)*-32. Round j to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 - 16 = -5*u. Let p = u + 26. Calculate the greatest common divisor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -7*a. Let d be 1\/(-2) + 18\/(-12). Let m be ((4 - 3) + -2)*d. Let n(c) = 5*c**2 - 2*c**2 - 2*c**m - 3*c**2. Calculate n(z(k)).\nAnswer: -98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 - 2*q**2 + 1. Let o(h) = -31*h**3 - 6*h**2 - 1. Determine -o(k) + 3*r(k).\nAnswer: 28*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 30839198, 30839197, 30839196, 30839195?\n\"Answer: -p + 30839199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -8*h**2. Let y(o) = 2941*o**2. Calculate -692*p(m) - y(m).\nAnswer: 2595*m**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 173*d**2 + 3*d - 4. Is y(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 22*j - 40. Calculate w(16).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of 261*z**4 - 2860*z**3\/3 - 5490*z. Find the second derivative of u(f) wrt f.\nAnswer: 6264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 745, 1486, 2221, 2950, 3673, 4390, 5101?\nAnswer: 5806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -520056 + 520061. Let 0 + 0*v - 14\/19*v**4 - 8\/19*v**3 - 2\/19*v**s + 24\/19*v**2 = 0. What is v?\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1014, -437, 17 in increasing order.\nAnswer: -437, 17, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5653, -22817, -51429, -91489, -142997, -205953?\nAnswer: -280357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 2*u**2 - u + 1. Is v(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 + h**2 - h + 1182. Let b be a(0). Suppose -4*z = -z - b. What is the remainder when (-4)\/(-18) - z\/(-9) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.212942997 rounded to 2 decimal places?\nAnswer: 14.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1525430 and 214240.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95104 is divided by 102.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 372*(-1815)\/(-33750) - (26 + -6).\nAnswer: 2\/375","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 70*q + 121. Let l(s) = -33*s - 56*s - 242 - 17*s - 36*s. Let g(n) = 4*l(n) + 7*x(n). What is the derivative of g(c) wrt c?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of -11*b**4\/24 + 2*b**2. Let u be 0 + 12 + (-16)\/4. Let l(v) = 8*v - 9*v + u*v - 13*v. What is f(l(z))?\nAnswer: 66*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 232 and 28.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v**4 + 16010095*v**3 - 16010125*v**2 - 80050515*v - 48030300 = 0 for v.\nAnswer: -3202020, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -148 divided by 37.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + sqrt(76)*-2)*1)\/(sqrt(484) + sqrt(484)*2).\nAnswer: -sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -6. Let q(z) = -z**2 + 2*z. Let v be q(2). Which is the smallest value?  (a) u  (b) -5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2993 - 1071 + 2938 = -243*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.43504 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 2*b**2 + 2*b + 1. Let f be a(2). Let m be 3\/f*(-14)\/21. Is -4 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of m**4\/4 - m**3\/2 + 4*m + 6. Let x(j) be the first derivative of d(j). What is the second derivative of x(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1202768014.\nAnswer: 2, 7, 12273143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -56 and 0.3?\nAnswer: 56.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 27535746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 42 - 1 - (-20 - 22 - (102 - 148))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1422 (base 5) in base 12?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 820, 1791, 2832, 3949, 5148?\n\"Answer: w**3 + 29*w**2 + 877*w - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(1539) + (sqrt(1539) + sqrt(1539) + 1)**2 + -5*(1 + sqrt(19))**2 + 2 - 2*(sqrt(152)\/sqrt(2) - (2*sqrt(209))\/sqrt(11))))*-1.\nAnswer: -6059 - 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 123.79 - 123. Let p = -1.09 + l. Which is the second smallest value?  (a) 7  (b) -3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a day in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of -o**4\/12 + 3*o**2\/2 - 8*o. Give s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j + 14. Is 12 a factor of n(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 + 1 + (48 - 116)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v + 5*v + 0*v)*(3*v**3 + v**3 - 5*v**3) + (-2*v**3 + 2*v**2 - 2*v**2)*(v - 4*v + 4*v).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1563 divided by -3?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/6)*r*r\/(r**(-5\/2)\/r*r))\/((((r*r**(-25))\/r)\/r)\/((r*r\/(r*r**(-22)))\/r)))**(-23\/6) assuming r is positive.\nAnswer: r**(-1817\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -8*a**2 + 4. Let g(c) = 9*c**2 - 5. Suppose -7*d + 25 = -2*d. What is d*w(f) + 4*g(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.378137 decades to centuries.\nAnswer: 0.1378137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 + f + 1. Let p = 60 + -63. Let x(w) = -15*w**2 - 6*w + 11. Let t(h) = p*k(h) - x(h). Is t(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -142092900 rounded to the nearest 1000000?\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2197 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(135\/(-120)))\/(-3 - 13\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12 + 12. Solve 0 = -h*n + n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8223608 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -244, -465, -688, -913?\n\"Answer: -s**2 - 218*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 174238772 and -3733.\nAnswer: 174235039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20\/36*(-30)\/25. Let w = -1.5 - -0.5. Which is the fourth biggest value?  (a) -0.2  (b) -5  (c) j  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -105, -201, -289, -369, -441?\n\"Answer: 4*j**2 - 108*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -36 - 543?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) -11  (c) 2  (d) 6  (e) -0.0267  (f) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*m - 12*m + 30*m - 3756.\nAnswer: -m - 3756","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 + -1 - (-81 + 106)) + 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 16*x + 22 - 2 - 6.\nAnswer: -16*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-13*b + 2*b - 5*b)*(3*b - b + 0*b) in the form j*b + y*b**2 + o and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 + 9*c - 6. What is the least common multiple of 4 and l(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-260)\/(-1560))\/(2\/((-12)\/(-26))).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 119683916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3423 and 17741898?\nAnswer: 124193286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 487*x + 9. Let v(y) = -99*y - 2. Give 2*q(u) + 11*v(u).\nAnswer: -115*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -171 + 179. Let l be 0\/((1*-1)\/(o\/24)). Let w = -1.8 - -2. Sort w, -1\/2, l in increasing order.\nAnswer: -1\/2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -242a + -241?\nAnswer: -2670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170 is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 5*c - 11, 22 = -0*c + 4*c + 5*y. Suppose 8 = c*x + x. Let o(u) = 2*u**2 - 5 + 19*u - 23*u - u**x. What is o(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/6  (b) 3  (c) 2  (d) -0.4  (e) -2\/3  (f) 0.02313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - 5*x**2 + x**2. Let f(q) = -8*q. Let r(g) = 9*g. Let s(b) = 6*f(b) + 5*r(b). Determine v(s(z)).\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 160, 601, 1292, 2197, 3280, 4505, 5836, 7237?\nAnswer: 8672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-8))\/((-1349)\/(-86336))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 254*n - 29. Is 22 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -23015, -23016, -23007, -22982, -22935, -22860, -22751?\n\"Answer: o**3 - o**2 - 5*o - 23010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + ((-3)\/(-5))\/1. Suppose -2*m = 2*m + 8. Are c and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l**2 - 1. Let n(q) = -q - 6. Let m be n(-7). Let w(r) = 13. Let c(i) = 7. Let f(h) = 11*c(h) - 6*w(h). Determine m*u(x) - f(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2070)\/19320 + (-290)\/(-616)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 375, 1.1, -30\/19, 0.2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of o**7\/14 - 17*o**6\/120 - 8*o**5\/15 + o**4\/24 - o**3\/6 + 7*o**2 + 29*o. What is the third derivative of i(z) wrt z?\nAnswer: 360*z - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (282\/162)\/((-1557)\/42039).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3687)\/(-15) + (-3)\/(-15). What is the tens digit of 0 + 5\/(15\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (222*q + 0 - 360*q + 0)*(101 - 101 - 15*q).\nAnswer: 2070*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 - 2*a**2 - 2*a - 3. Suppose 8 = -4*o + 20. Let b be d(o). Is -3\/20 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2768256849 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c**2\/4 - 3*c\/2 + 9\/4 = 0. Calculate c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3140650080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence txll when four letters picked without replacement from xtlhlt?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - x**2 + x. Let g(i) = 4*i**3 + 2*i**2 - 8*i + 4. Let j(v) = -g(v) - 2*u(v). Let j(n) = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-50)\/4)\/((-4)\/8) is divided by ((-896)\/96)\/((-4)\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 349977 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of l**5 - 2*l**4*w + 6*l**3 - 128*l**2*w - l + w wrt l?\nAnswer: 60*l**2 - 48*l*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5317798836 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 371263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3299*n**3 + 0 + 3 - 5532*n**3.\nAnswer: -8831*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 - ((-10)\/(-6))\/(-1). Let y be (-2 - (5 + -2)) + (2 - 40\/(-10)). What is the closest to v in -1\/5, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2403196.\nAnswer: 2, 19, 103, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 341134087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -202000640 (base 7) to base 6\nAnswer: -1100100342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -7\/6*z**6 - 33*z + 0*z**2 + 0*z**4 + 0 - 4\/3*z**3 + 0*z**5. What is the second derivative of q(d) wrt d?\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 7*n = 12*n. Let o(d) be the third derivative of -1\/175*d**7 + 0*d + 0 + 1\/75*d**6 + n*d**4 + 0*d**3 - 1\/150*d**5 + 5*d**2. Factor o(f).\nAnswer: -2*f**2*(f - 1)*(3*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + 0*r + 0*r)*(-r**2 - 4*r + 4*r + (3 + r - 3)*(3 - 2*r - 3) + r**2 - r**2 - 2*r**2 + 8*r**2 + 3*r - 3*r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2420222044 (base 5) to base 9\nAnswer: -11534637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 5:55 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.1204 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*n**3\/3 + 164*n**2\/3 - 1900*n\/3 + 1444 = 0. What is n?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30354, -60923, -91704, -122697, -153902, -185319?\nAnswer: -216948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -7. Let y = -4 + r. Let w be (5 - -3) + 0\/3. Solve 3*f - b = w, y*b = 2*f - 7 - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 + -13. Let i be 3\/x + 2*(-747)\/(-42). Let u be (-4 - -13) + 4\/((-12)\/(-9)). Calculate the highest common factor of u and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -30?  (a) -18  (b) 1  (c) 45\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7739524 microseconds to seconds.\nAnswer: 0.0000007739524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**0)**(2\/11)*(f*f*(f\/((f\/(f\/(f*f**0)))\/f))\/f)**(-29)*(f**0\/f*f*f*f**(-2\/7)\/f)\/((f**(-1)\/f*f)\/(f\/f**(-2\/7))) assuming f is positive.\nAnswer: f**(-614\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9985065589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -10*l - 1. Let p(o) = -5*o. What is -5*p(x) + 3*q(x)?\nAnswer: -5*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/1039633?  (a) 2  (b) 2\/9  (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5074841 rounded to 2 decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -25 divided by -26557\nAnswer: 25\/26557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 18288*r - 784638. Determine a(43).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -6*f**3 - 7*f**2 + f - 7. Let g(v) = -5*v**3 - 7*v**2 - 6. Let r(d) = 5*g(d) - 4*q(d). Let a be (-327)\/45 - (-128)\/480. Calculate r(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189374 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155*i + 737 = 102*i + 220*i - 694 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 5880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 361313 = -2045*o + 12052*o - 349184 for o.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -750 - 79*r**2 + 1133*r**2 - 1050*r**2 - 4*r to the form b*r**2 + o + i*r and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -718, -1222, -2078, -3298, -4894, -6878, -9262?\nAnswer: -12058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 times 12096?\nAnswer: 72576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 145*y + 14. Let q(i) = -146*i - 11. Determine -3*n(z) - 4*q(z).\nAnswer: 149*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10\/3?  (a) -1  (b) 0  (c) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(20\/25) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -r - 3*j - 25, -4*r = -2*j + 58. Let b(q) = -q**2 - 18*q - 1. Determine b(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 9 = 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -328625086*m**2 - 81227031 wrt m.\nAnswer: -657250172*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -776051 times -45?\nAnswer: 34922295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**3\/9 - 1918*n**2\/9 + 663122*n\/9 - 661202\/9 = 0.\nAnswer: -1229, 1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.58 minus -48561?\nAnswer: 48561.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8283 - -8290. Which is the closest to -2?  (a) m  (b) 1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1382 - -5469\/4. Calculate the common denominator of n and -99\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - 60726017?\nAnswer: -60726015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -15, 0.4, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*u - 1. Which is smaller: u or -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1224 (base 5) to base 4\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 times 4.03155?\nAnswer: -44.34705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -1140*a - 120. Let y(f) = 2. Give -h(b) - 60*y(b).\nAnswer: 1140*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -77  (b) -3\/4  (c) 2  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 + 8*s + 7. Let q be r(-7). Let c be 0\/(q + -3) - -2. Suppose -v + 47 = -c*h, -5*h = 19 + 6. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y**2. Let g(b) be the first derivative of -229*b**3\/3 - 50. What is l(g(c))?\nAnswer: 104882*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 630 in 0.2, -9, -17, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 75.60931 millennia in months?\nAnswer: 907311.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (0 - -1)) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4810*i - 89*i - 5380*i + 335*i.\nAnswer: -9944*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*y + 8, -5*y = 3*l - 4682. List the prime factors of l.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/23  (b) -2\/17  (c) -0.4  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10\/(-3))\/((-30)\/(-45)). Let w(z) = -7*z**2 - 10*z - 2. Let s(m) = 8*m**2 + 11*m + 2. Let v(o) = 6*s(o) + 7*w(o). Give v(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*f - 6270*f**4 + 3134*f**4 + 3130*f**4 + 0 + f**2 - f**3 - 2 - 6 to u*f + g + x*f**3 + z*f**4 + q*f**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 2*u - 5*s, 2*s - 5*s = -2*u + 13 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**2\/9 + 262*c + 9464\/9 = 0. What is c?\nAnswer: -4, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2669134 is divided by 175.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 divided by 4043359?\nAnswer: 23\/4043359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/4*(76685\/(-343) + (-51)\/119).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45130239?\nAnswer: 3, 7, 11, 65123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q**2. Let f(w) be the third derivative of 0*w + 0*w**3 + 0 + 0*w**4 - 1\/15*w**5 + 5*w**2. What is l(f(a))?\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 4 + 2*j - 4*j + 3*j. Let o = 5 - 2. Suppose 13 = -2*c - 3*a - o, -a = 4. Calculate i(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a**2 - 6575*a + 2178*a + 2173*a + 2224*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 0 + 3 - (-10)\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-35)\/(-315) - 1*(-10636)\/18. Let k = w + -572. What is the remainder when 1004 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**4\/13 - 1192*s**3\/13 + 123158*s**2\/13 = 0. What is s?\nAnswer: 0, 133, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1055 + 367*y**2 + 1055 - 117*y**2.\nAnswer: 250*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (4 - -7 - 12) + (1 - 23) + 94?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -2*s - 1. Let g(a) = -a. Let i(c) = -2*g(c) - j(c). Let q be i(0). Solve n = -t + 4 - q, 0 = -5*t - n + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0330141 centimeters to kilometers.\nAnswer: 0.000000330141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -52*k**2 + 3*k - 2. Determine c(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -4. Solve 0 = 3*p - 0*p + 5*y + 22, -u*p = -5*y - 27 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11 and -0.02?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -72 - 29. Let i = -282 - z. Let v = i + 506. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 374 is divided by 127.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2*-1 - -2 - 0. Let q(o) be the first derivative of -1 - o + 1\/2*o**2. What is q(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 14, -39, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 10:09 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 3) + 3 - (2 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, 2\/15, -2\/5, -1\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, g: 3, y: 1, q: 3, t: 1}. What is prob of sequence yt?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3*m**2. Suppose 0*n = -4*n + 3*s + 1, 3*s - 23 = -2*n. Suppose 0*h - 20 = -n*h. Let z(w) = 5*w + w - 3*w - h*w. Calculate b(z(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -367703*g**2 - 57707*g**2 + 15*g - 15*g.\nAnswer: -425410*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12476369 to the nearest integer?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*g + g + 5*l, 2*l = -g + 22. Let x = 17 - g. What is the third biggest value in x, -2, 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72049029463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*n = 218*n + 4*f - 40, 0 = 4*n + 5*f - 59 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 9*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 + 3*u**2 + 5*u - 7. Let p be g(5). Find the common denominator of -28\/9 and (-5 - -1) + p\/(-22).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21225.384 to the nearest 10.\nAnswer: -21230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -4474 > -4476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -224, -447, -670?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -1155, -0.4, -27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -5*p**2 - 20*p - 52. Let u be z(-3). Is -32 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 + 14*r - 287. What is t(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**2 - 18*r**2 + 35 - 74 + 60.\nAnswer: -21*r**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -247  (b) 0.3  (c) 3\/2  (d) 2  (e) 2545  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2943.1 centuries to millennia.\nAnswer: 294.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 139859051002\/(-31164435)*2\/4360. Let p = 2\/17313575 - o. Let b = -1\/327 + p. What is the common denominator of 97\/34 and b?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2156 = -11*v + 594. Suppose -v*c = -254*c + 19524. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6981375 and 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1021 divided by -1277\nAnswer: 1021\/1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w - 13 = -48. Solve -4 = 2*y - w*h + 6, h = -5*y + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000067785 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + -20 + 4 + 11 + -18 + 1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 7:24 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 464 + -338. What is the greatest common divisor of d and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + -4 + (-3 - (9 + 2)) + (1 - -6).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -563*k**2 - 4*k + 1708. Let s(p) = -2249*p**2 - 18*p + 6831. Let u(w) = 9*i(w) - 2*s(w). Find the first derivative of u(t) wrt t.\nAnswer: -1138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99645?\nAnswer: 3, 5, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 510 = -i. Let a be (-1)\/((-203)\/i + -2). Suppose a = 4*v - 18. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {j: 2, e: 1, h: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 24 = m, -5*y + y + 24 = 2*m. Suppose -i + 3*t + 14960 = 0, -m*i + 76697 = t + 16870. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 469203 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v**2 - 98. Let y(t) = -t**2 - 16. Give u(y(f)).\nAnswer: 3*f**4 + 96*f**2 + 670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 12*q - 2*q)*(5 + 13 + 1 + 10).\nAnswer: 203*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17\/102)\/(2\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -29*j**2*n - 2*j**2 - 127*n + 1 wrt j?\nAnswer: -58*j*n - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 16 = 2*w + 8, 2*j = 3*w + 16. Let d = j + 1. Let o = -14 + 17. Solve -d = i - o*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11243904 by -19936.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*h*u**4 - 711*h*u**3 - 2781*h + 179*u**4 + 17392*u**2 wrt u?\nAnswer: 168*h*u - 4266*h + 4296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i + 110. Let w(q) = 3*q**2. Calculate w(f(a)).\nAnswer: 3*a**2 - 660*a + 36300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 330524851?\nAnswer: 16657, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -397*z + 4*z**2 + 397*z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*l + 3*k - 1657 = 18*l, 5*k = 2*l - 638. Calculate the remainder when l is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 + q**2 - 2*q - 9. Let x be w(-3). Let m = -28 + x. Let v(c) = c**2 - 6*c - 3. Give v(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08 times 24.49001?\nAnswer: -1.9592008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -67, -117, -167, -217, -267, -317?\n\"Answer: -50*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 211.\nAnswer: 1\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 8:26 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2 + sqrt(1331) + 5 + 2 + sqrt(1331) - (sqrt(1331) - (sqrt(1331) + 1*sqrt(1331) + 5))**2*4).\nAnswer: -10830 - 836*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1259 - 2688. Let g = v - -1429. Let s = -2.1 - -2. Sort g, 2\/3, s.\nAnswer: s, g, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-159)\/(-216) - 16\/5120*200.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9\/2*y + 3\/2*y**2 - 6 = 0 for y.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 229192 + -91421. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 179099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 44124 or -0.75?\nAnswer: 44124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3*11\/132*3*12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x - 4. Let m be f(4). Suppose -5*g + m = i + 14, 0 = 4*i - 4*g - 8. Suppose -5*s + 3*l + 476 = i, -l = -4*s - 0*s + 385. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + 22 + -39 + -5 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**3 - v**3 - 2*v**4 + (-v - 2*v + 4*v)*(-6*v**3 + 0*v**3 + 3*v**3 + (-v**3 - 3 + 3)*(-2 + 6 - 2) + 8*v**3 - 85*v + 85*v).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/32*20\/15*-1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/15702 and 63\/16.\nAnswer: 125616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.129 - 181.129. Let x = 180 + o. What is the smallest value in 0, x, 5, 1.8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.7 - -20.3. Let w = q - 21.918. What is w rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 377*k - 7 = 376*k. Solve -k = -4*w - 2*f + 5*f, 5*f - 31 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/18 and 65\/369.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -5*y + 32, r + 4*y - 10 = 10. Put r, 165, 0 in decreasing order.\nAnswer: 165, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 - k**2 + 15*k + 26. Let w be t(-3). Let v(r) = 4*r + 21. Let n be v(-4). Put -5, n, w, -10 in descending order.\nAnswer: n, w, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-20) - (-9)\/285*8\/(-48)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 14*m**2 + 10. Let w(s) = 3*s**2 - 2*s**2 - 66 + 67. Determine -k(y) + 10*w(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7659745l to millilitres.\nAnswer: 765.9745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 722 + -723. Let q = -0.01 - 0.39. Let y = q + 0.3. Which is the closest to y?  (a) -2  (b) z  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-6)\/15 + (-281)\/10 and 51\/10 + 2 - -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -5*t - 9, 5*c - 69678*t = -69673*t - 75 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 3447812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 61*c**3 - 2*c + 1059.\nAnswer: 366*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = a - 6. Suppose 4*v - 2*g + 0*g = -30, 5*v + 45 = -a*g. Let l be v\/12 + 8\/3. Solve -5*b = l*t + 11, -4*b + 2*t = 6*t + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 842225 divided by 4?\nAnswer: 842225\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j. Let c(g) be the second derivative of -7\/2*g**3 + 0 - 7*g + 0*g**2. Determine c(d(n)).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-162)\/(-135))\/(-3*(-2)\/(-20)). What is the tens digit of (((-3616)\/(-10))\/h)\/(4\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39 + 81. Let n(i) = -6*i + 51. Calculate the remainder when b is divided by n(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*j**4 - 1400*j**3 - 8145*j**2 + 20510*j - 10960 = 0. What is j?\nAnswer: -274, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60321775 is divided by 135?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5995, 6022, 6087, 6208, 6403, 6690?\n\"Answer: 3*c**3 + c**2 + 3*c + 5988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {e: 5, q: 2, b: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 2 = -3*w, 6 = -4*r - w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -244 - -1217\/5. Which is the closest to -0.1?  (a) h  (b) -2  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2723229692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92284 is divided by 10238?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {o: 4, m: 1, w: 5, b: 10}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 + 34549*y - 1923*y - 8 to u*y + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 321645499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 28*a - 167. Calculate c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r. Let u be ((2\/4)\/((-12)\/144))\/(-2). Let i(b) be the first derivative of 0*b**2 - u - 1\/3*b**3 + 0*b. What is v(i(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (3 + -6)) + 15 + -131 + 71 + 89.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/7 + 100\/(-175). Which is the nearest to i?  (a) 0.1  (b) 1\/8  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**4 + j. Let p(g) = -27*g**5 - 2*g**4 - 18*g. Let m(s) = -p(s) - 2*u(s). Find the second derivative of m(i) wrt i.\nAnswer: 540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y + 12 = -6*y. What is the third derivative of 367*m**y + 7*m**4 - 367*m**3 - m**2 wrt m?\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + (716\/12 - (-1)\/3). What is the highest common divisor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1907, 38, -8, 3 in descending order.\nAnswer: 38, 3, -8, -1907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(21)\/sqrt(3))*2 - sqrt(70)\/(6*(sqrt(160) - sqrt(10))).\nAnswer: -6 + 35*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 18282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of v**5\/60 - 4*v**3 - 47*v**2. Let t be i(-5). Put 3, -8, t in decreasing order.\nAnswer: 3, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 301995\/(-26844) + 714\/8\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -83294760 rounded to the nearest one hundred thousand?\nAnswer: -83300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l - 3 + 8*l - 6*l. Give t(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k + 3*k - 9*k. Let t(j) = 5*j. Calculate p(t(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 215 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 279*n - 252*n - 162 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1242, 1217, 1192, 1167, 1142?\n\"Answer: -25*d + 1267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 385 a factor of 102919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-39*o**3 - 29*o**3 + 0*o**3)*(-o - o + 0*o)*(3 + 2 - 3)*(-9 + 4 + 2) in the form j*o**2 + y*o**3 + g*o**4 + w + x*o and give g.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o + 3. Let s be i(4). Let y = 0.107 - -0.583. Let v = y + -0.72. Which is the third smallest value?  (a) s  (b) 0.3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42556 is divided by 116?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 400796999.\nAnswer: 103, 1171, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/2  (b) 4  (c) -7  (d) 0.5  (e) -275695\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 161 = 7*d - 2*d, 0 = 5*o + 5*d - 200. What is the remainder when o is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*j - 5*j - 5*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.9, -0.09, 16\/5, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4855 take away 4550?\nAnswer: -4550.4855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 57. Let u(h) be the second derivative of -9*h**3\/2 - h + 5731. Give u(m(d)).\nAnswer: -27*d**2 - 1539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 - 4)*(5 - 3 - 3)*(-4*g + 1 - 1).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-37*s + 14 - 14)*(2*s + 0*s + 1 - 2).\nAnswer: -74*s**2 + 37*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2396*m - 359*m = 1934*m - 1081*m - 223696 for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1448 - 8687\/6. Let c(v) be the second derivative of 0*v**2 - 1\/3*v**3 + a*v**4 + 0 - v. Factor c(s).\nAnswer: 2*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21799.02 + -21799. Let u = -119 - -353\/3. What is the closest to l in -0.2, -2\/5, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 2*h + 3*h + 2, 5*y - 4*h = -11. Let o be 18\/3*(-1)\/y. Solve 0 = -o*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 742688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -15, -81, -199, -375, -615?\n\"Answer: -o**3 - 20*o**2 + o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1377681 is divided by 4226.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of 9 - 8*b + 7\/2*b**2. Let k be t(3). Which is smaller: k or 14?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - q**2. Let a(b) = 4*b**3 + 8*b**2 + b + 4. Let w be (-1)\/(2\/((-4)\/(-2))). Let v(j) = w*a(j) - 5*g(j). Suppose 21 = 12*i - 27. Calculate v(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -347741+-86.168\nAnswer: -347827.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7846.59*0.4.\nAnswer: -3138.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19 - 21) + 6 + -1 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-15))\/((-2)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g - 3*g**4 + 0*g + (0*g**2 + 0*g**2 + g**3)*(g - g - 2*g) - 2*g**4 + 3*g**3 + 0*g**4 - 4*g**3.\nAnswer: -7*g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -63*(100\/(-21))\/(-25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(5324) + sqrt(5324) - sqrt(44))\/(sqrt(484)*2)*-1.\nAnswer: 6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4803893 and 186323.\nAnswer: 8101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (12\/(-2))\/((-2)\/(-1)). Let w = h - -5. What is the greatest common factor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/1134 and -67\/1982934?\nAnswer: 41641614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.866649us?\nAnswer: 0.00000001444415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {w: 1, m: 2, j: 4, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9557088 and 112096?\nAnswer: 3616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gjgm when four letters picked without replacement from {p: 3, i: 4, g: 2, b: 4, m: 1, j: 1}?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/7068 and 9\/21514.\nAnswer: 2452596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 - 25.016. Let t = 4.284 - v. Round t to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/6*(-242 - -212)\/30\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 + 10*l**2 + 14*l - 6. Let j be r(-5). Let k = j - 41. What is the least common multiple of 38 and k?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of -11*p**6\/120 + p**4\/24 - 3*p**2. Is o(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g**2 - 4*g + 2. Let h be b(4). Suppose 2*f - 2 = h. Calculate the smallest common multiple of f and (2\/(-4))\/((-2)\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 6*r**2 + 2*r - 7. Let n be q(6). Suppose -6*h - 18 + 0 = 0. Let i be (h\/(-18))\/(-1) - 1\/(-6). Solve i = -n*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-8\/3)\/(a**(1\/12)*a)*a**(3\/17)*a**(-34)*a assuming a is positive.\nAnswer: a**(-2487\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000470522744 to 7 decimal places.\nAnswer: 0.0004705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42894 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1125\/5054 + 3\/361. Let i = 2\/7 - t. Which is greater: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4*b = 0, -2*w + 4*b = -15 - 15. Suppose w*q - 86 = -56. Let o(v) = -v**2 + 6*v + 4. Give o(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 + 8*v - 4. Let w be ((-2 - -6)\/(-4))\/(2\/(-10)). Determine b(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of -6*q**2 + 0*q**5 - 1\/6*q**3 - 1\/24*q**4 + 0 + 0*q + 1\/20*q**6. Determine u(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004407843 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 874591 a multiple of 397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3612864668?\nAnswer: 2, 7, 19, 103, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t + 1. Let p be ((-3)\/5)\/((-9)\/(-45)). Let u be p*(-20)\/(-12) - -9. Calculate b(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1380 by 115.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19)\/(-152)*1*16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27560393668218675*b**3 - 27560391942958545*b**2 - 1725260103*b - 27 = 0 for b.\nAnswer: -3\/95847785, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32 and 607078.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from zzczuccmzpzzz.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {t: 8, j: 4, s: 8}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3051747?\nAnswer: 3, 107, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}