{"text":"Question: Let z(y) be the second derivative of y**4\/90 - 13*y**3\/45 - 68*y. Factor z(q).\nAnswer: 2*q*(q - 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(20)\/(sqrt(4) + sqrt(16)\/sqrt(4)) + sqrt(5) + (sqrt(20) + sqrt(5))*-4)**2)*-6.\nAnswer: -6591\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j + 4. Let h(r) = -3*r - 3. Let q(w) = 1. Let x(n) = h(n) + 6*q(n). Give -3*o(l) + 4*x(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - -6*(-4)\/(-6). Solve j = t - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 318 and 0.2.\nAnswer: 63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 997333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -f**3*o**3 + 2*f**3*o**2 - 8*f**3 + 12*f*o**6 wrt o?\nAnswer: -6*f**3 + 1440*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -3, -5 in descending order.\nAnswer: 5, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 4 = -n. Let z(c) = -22*c - 4. Let h be z(n). Suppose v - 2*v + h = 0. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 - 5*p**2 - 4*p - 4. Let i be m(6). Suppose -6 = 18*s - 13*s - 4*o, 2*s - 2*o = 0. Does 11 divide (-3 - s)\/((i\/74)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004523 rounded to four decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(2 + -12 + 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 115, 1199, 4205, 10093, 19823?\n\"Answer: 160*g**3 + g**2 - 39*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 229, 3 in decreasing order.\nAnswer: 229, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - 16\/(-10) - (-4)\/10. Let c = 3 - 1. Put -1, c, r, -25 in decreasing order.\nAnswer: r, c, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 4*p - 1. Let d(g) = -g + 2. Let j be d(-3). Let m be i(j). Round m to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -69467?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50517.\nAnswer: 3, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 52462 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -5  (c) -1\/13  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of q**4\/12 - q**3\/6 - q**2\/2 - 5*q + 76. Let x(m) = -28*m**3 + 7*m**2 - 7*m - 7. Give 7*t(l) - x(l).\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*d = -7 - 0, 0 = 4*x + 5*d - 28. Suppose -5*i + r = -10*i + x, 7 = -i - 3*r. Factor -2\/5 + 3\/5*w**i - 1\/5*w.\nAnswer: (w - 1)*(3*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = -4*t - 12, 5*s - 38 = 5*t - 68 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (77\/(-44))\/(-1)*15639\/(-2807)?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -5*c**3 - 102*c**2 - 36*c + 82. Let o be v(-20). Solve -7\/4 + 2*k - 1\/4*k**o = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 1141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {e: 1, j: 1, d: 2, u: 2, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -77718 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-27)\/63)\/((-1)\/7) - 40810. Is ((-5)\/15)\/(2 - h\/(-20403)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*o**4 + 4\/5*o**5 + 84*o**2 + 216\/5*o + 0 + 52*o**3 = 0 for o.\nAnswer: -9, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2664*d - 6516*d - 336148 - 285752 = -2270*d for d.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -18*f - 1. Let x(n) = 62*n + 3. Let w(j) = -21*c(j) - 6*x(j). Suppose -4*b = 14 + 6. Let m(s) = 7*s + 3. Determine b*m(y) + 6*w(y).\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-4*1\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 112 - 89. Solve -5*a - 2*n = -l, 5*n = -0*n - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 17\/6 of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -6*o - 7. Let b(z) be the second derivative of 13*z**3\/6 + 7*z**2 + 8*z. Let t(i) = 2*b(i) + 5*j(i). Give t(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from upuuuuppuuppuu?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -103c + 78a?\nAnswer: -8b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*c**3 + 22*c**3 + c**3 - 46*c - c**3 + 46*c.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -246*a + 114*a - 211*a to m*a + p and give m.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1983*m**3 + m**2 + 1004*m**3 + 1008*m**3.\nAnswer: 29*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*i**2*x - 10*i**2 + i*x - 111*i - 117921*x wrt i.\nAnswer: 6*i*x - 20*i + x - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14.38041 or -103?\nAnswer: 14.38041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 PM and 5:20 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -5*q. Let c = 87 + -84. Suppose z = c + 11. Let b(y) = -4*y + 8*y - z + 14. Calculate o(b(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 135796197?\nAnswer: 3, 1049, 43151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 915 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 3*k**3 - 21 + 14.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -240598 (base 11) to base 5.\nAnswer: -44201003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - p)*(3*p**3 - 9*p**3 - 3*p**3) + (2 + 0 + 1)*(p**4 + p**4 - 4*p**4) as g*p + r*p**3 + y*p**2 + m + s*p**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a9a - 5?\nAnswer: -1aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9378?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8068 in -4, 0.1, 5\/7, 1\/3?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -348*r - 9 = -357*r. Solve 2*s - 14 = -2*b, -b + s = -s - r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 36614923*z**2 - 49840117.\nAnswer: 73229846*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and -27.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 - 334 = -4*l. Let h be (9\/6)\/(2\/l). What is h rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (15 + -2 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 616 = -226. Suppose 3*b - m = 89. Suppose 6*k - b - 77 = 0. Calculate the lowest common multiple of 9 and k.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57938921107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104 = 4*q + 96, 7*y - q = -9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*y + 9*j - 13*j - 16, -10*y = -5*j - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 971281?\nAnswer: 971281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -3*a - 2. Suppose 3*y - 9*y = 60. Let g be v(y). Let b = -70 - -154. What is the greatest common divisor of g and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -5468*x + 60162. What is o(11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {b: 1, g: 5, d: 2, k: 1, c: 5, y: 5}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = 7*d - 68, 8092*d - r + 10 = 8097*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 0.09  (c) -7\/5  (d) 1\/1243  (e) 2\/15  (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (a - 4*a + 2*a + (-1 + 1 + 1)*(-3*a + 5*a + 2*a))*(-5 + 5 - 3*a) as k*a + t + p*a**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 133238 divided by 217\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3833*f**3 + 449*f + 3833*f**3 - 2*f**4 + (0*f**2 + f**2 + 0*f**2)*(7 - 4*f**2 - 7).\nAnswer: -6*f**4 + 449*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/2*22\/((-110)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28444?\nAnswer: 2, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12022212.\nAnswer: 2, 3, 19, 67, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = m - 5*d - 25, 2*d = -2*m + 42. Suppose 23*q - 7 = m*q. Let g(k) = 3*k**2 - 17*k + 2. What is the units digit of g(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -381 or -9925\/26?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/18*4)\/((-1)\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 67*g - 1613. Give k(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(114) - (sqrt(114) - -6*3*sqrt(114) - sqrt(114)))\/(-6*sqrt(24)\/sqrt(4)) + -1)**2 + 1)*-6.\nAnswer: -5563\/6 + 34*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**3 + 0*c**3 - 2*c**3)*((-2*c + 1 - 1)*(4*c - 5*c + 0*c) + 15*c**2 - 22*c**2 - 13*c**2).\nAnswer: 72*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - s + 140 = 0. Suppose -s*m + 12 = -33*m. Solve -5*u - m = 2*x - 5*x, -x = u + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of 109\/60*h**5 + 40*h**2 + 0*h**3 + 0*h**6 + 2*h - 65\/24*h**4 + 1\/105*h**7 + 0. Find the second derivative of c(w) wrt w.\nAnswer: 24*w**2 + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 PM and 9:50 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28 + 11. Let q = 14 + w. Calculate the smallest common multiple of 6 and 1\/(q\/(-9)) + 11.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t + 547 + 557 - 1104.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 236 + 673 = 33*b - 42*b. Suppose 372 = -2*u - 276. Let s = b - u. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 100 + -48. What is the highest common divisor of z and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 85 and 6884\/81 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 754510161 to the nearest integer?\nAnswer: 27468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1894*k**2 + 660*k**2 - 16*k**2.\nAnswer: -1250*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 6:48 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -248002*u**2 + 82656*u**2 + 82669*u**2 + 82633*u**2.\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 7 = 4*y - 0*x, 4*x = -4*y - 12. Solve 0 = 4*b - 3*o - 2*o + 4, -2*b - 3*o - y = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 4*u - 3*v - 2, -4*u = 2*v. Let p(s) = 12 + 4*s**2 + 14 + u*s - 16 + s. List the prime factors of p(-4).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m**3 - 6*m**3 + 3*m**3 - 2290*m.\nAnswer: -2*m**3 - 2290*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 19069363 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 - w**2)*(5 - 4 + 1) + 42 + 5*w - 42 + w**2 as t*w**2 + d + s*w and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1092 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 475297, 950587, 1425875, 1901161, 2376445, 2851727, 3327007?\n\"Answer: -u**2 + 475293*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1040, 1029, 996, 929, 816?\n\"Answer: -2*l**3 + l**2 + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 40859647817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8.14 - 8. Let f = -5.86 - u. Let d = f + 6.2. Sort 1, 0.1, d.\nAnswer: 0.1, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51 = t + 49, -9*c = t - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of 0 + 0*c + 5\/6*c**3 - 3\/8*c**4 + c**2. Let w(n) = 14*n - 7. Let o(j) = 7*f(j) + 5*w(j). Let p(s) = -s. Give p(o(i)).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 - 9*x**2 + 9*x - 7. Let o(k) = 2 + 6*k - 10*k - 2*k. Let s be o(2). What is the units digit of r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 843*v - 847*v = 16. Which is the closest to 0?  (a) -1  (b) -1\/3  (c) -2\/33  (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 382251633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0872 - -0.028. Let w = 0.06 + n. What is w rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + a. Suppose -4*m - 2*p + 22 = a, 4*p - 17 = m - 0*p. Differentiate 0 + 1 + 2*s**m - s**3 with respect to s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*z**4 - 1393237*z**3 + 1393237*z**3 - 664 wrt z.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 276.8  (b) 2\/17  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 9*f. Let c(m) = 3*m + 1. Let p(n) = n + 1. Let u(g) = -c(g) + p(g). Give u(r(a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*d - 10 = 100*d + 4*r, -338 = 53*d + 5*r. Let h(g) = 11*g**3 + 67*g**2 + 4*g - 11. Determine h(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(5) + 0 + 5))**2.\nAnswer: 160*sqrt(5) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7007*i*j**3 + 2*i*j**2 + 5*i*j - 5*j**3 - j**2 - 519*j - 5 wrt j.\nAnswer: -42042*i*j + 4*i - 30*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -84 divided by -3762?\nAnswer: 14\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1057834 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 498441848?\nAnswer: 2, 62305231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 - 6*s + 1. Let j be w(-6). Let f be (2 - j) + 3 + -2. Let t(o) = 4*o - 4*o + 2*o**f. Let v(u) = 2*u**2. Calculate t(v(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23057\/14 - -1647. What is the third biggest value in 1\/9, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of c**5\/20 + c**4\/3 - c**3 + 99*c. Calculate i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1012, -12 in ascending order.\nAnswer: -1012, -12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 65873 by 1.\nAnswer: 65873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j - 4*m = 5*j - 67, -4*m = 5*j + 83. Find the common denominator of 67\/6 and ((-2)\/(-6))\/1 - (-26 - j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/4 and -40\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.073 - 9.927. Let v = 9.99999953 + c. Round v to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 8:01 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138*b + 431*b - 157*b - 135*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-1\/16)\/u*u)\/u)\/u*u*u*u*u**(4\/7))\/(u**(3\/5)\/(u\/(u**(10\/9)\/u))) assuming u is positive.\nAnswer: u**(9061\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 394096, 394088, 394080, 394072, 394064, 394056?\n\"Answer: -8*c + 394104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 9:20 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0062 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2479039819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 22685719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - (3 - 0\/3). Let v = 1 - k. Solve v*t + 2*x = 5*x, 2*x = -4*t - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4a1756 (base 11) to base 14\nAnswer: 168d25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 317110.4l to millilitres.\nAnswer: 317110400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (0 - 1)*(-30)\/5 is divided by (6\/4)\/((-15)\/(-20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -28 + 13*o + 23*o - 23*o - o**2 - 26*o. Give z(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 6, 0, 9, -22 in increasing order.\nAnswer: -22, 0, 6, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence toto when four letters picked without replacement from uouuiloottkikui.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o - 9, -5*o + 111 = -50*r + 18*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 430420399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the first derivative of -1\/7*h**2 + 0*h**3 - 4*h + 1\/42*h**4 - 1. Let i(f) be the first derivative of c(f). Suppose i(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1077 - 0) + (-2 - -2 - -1). Find the common denominator of -89\/36 and -1 - 0 - n\/(-1064).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**4 + 192*i**3 + 4*i**2 - 192*i.\nAnswer: -4*i*(i - 48)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 4 + 0 = 0. Let a(x) be the first derivative of -z*x + 6 + x**5 + 0 - 4. Find the first derivative of a(s) wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -96*q**3 - 2 + 178*q**3 - 6*q**2 - 5*q - 83*q**3. Give f(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-21950)\/(-16) + (-222)\/(-1776) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 7:35 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/23)*k)\/(k*k**9))**(-7\/6)*((k*k**1)**17)**(-1\/16) assuming k is positive.\nAnswer: k**(4679\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-99)\/21 - 0) + (-6)\/21. Let y(x) = 3*x**3 + 6*x**2 - 6*x + 4. Let a(i) = 3*i**3 + 5*i**2 - 5*i + 3. What is f*y(c) + 6*a(c)?\nAnswer: 3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*r + 9114 = 23*r - 32*r - 27*r for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -43 and -371689927.3.\nAnswer: -371689970.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3721 + 3810. What is the highest common divisor of 356 and q?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 452, 688, 1370, 2720, 4960, 8312, 12998?\nAnswer: 19240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.63674 minutes in nanoseconds?\nAnswer: 1958204400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -10957053, -10957052, -10957051, -10957050, -10957049, -10957048?\n\"Answer: j - 10957054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -6*p**2. Suppose -4*c = 3*q - 35, 2*c = 3*q - 3 - 2. Let y(s) = -10*s + 6*s + q*s. What is y(k(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = 7*t - 21. What is the units digit of t\/(-15) - 1*(-3124)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -3 - (-8 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3731208 and 1248?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 887660?\nAnswer: 2, 5, 44383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1707*c**2 + 1709*c**2 + 3 - 29)*(c**2 - 6*c**2 + 2*c**2).\nAnswer: -6*c**4 + 78*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k**2 - 1254*k + 9267. Calculate s(306).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 27 and 63612618.\nAnswer: 63612645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z, 1 r, and 1 m when four letters picked without replacement from {r: 3, x: 1, m: 9, z: 5}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29262 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 114773580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-10)\/(-15))\/((-4)\/(-6)). Suppose -2*w + 8 = 3*v - 3*w, -4*w - 2 = 3*v. Let o(r) = -10*r**2 + 18*r**v + 0*r - 2*r - 1 + 4*r. Give o(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18283*z + 18281*z - 36569*z - 1946*z**2 + z**3)*(z + 0*z + 0*z).\nAnswer: z**4 - 1946*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/15 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 217492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3)\/((-246)\/2583).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4629*f**3 - 29*f + 10083*f**3 + 24090*f**3 + 29*f.\nAnswer: 29544*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 3*b**2\/8 - 270579*b\/4 + 1623447\/8 = 0.\nAnswer: 3, 180383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 178 - 170. Let v(f) = -2*f**2 + 1 - 2*f**2 + 20*f - 2*f**2 + f**2. Let h(r) = 3*r**2 - 13*r - 1. Let m(o) = n*h(o) + 5*v(o). Give m(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 + 10\/5 - -7) + -4. Let j = 14 - 10. Suppose -4*o + 2*o = -o. Solve -3 = r - 0*m + 4*m, o = j*r - v*m + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, -1\/13, -1\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of 44*v**3\/3 - v**2 + v + 1. What is the remainder when h(1) is divided by 3 + (0 - 1) + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 + -34)\/(2\/(-10)). Suppose -3*k = 2*k - r. Suppose -2*p = -0*p - 26. What is the remainder when k is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-5 + 0 + (-28 - -29)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 5\/56529?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010111001011101 (base 2) in base 9?\nAnswer: 67206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*l - 17 = -1, -5*p + 4*l + 4 = 0. Suppose -9 = -p*g - 3*f, 0*f + 2*f - 6 = 2*g. Solve g = -3*a - 0*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10*4*(-1 - (-44)\/40). Suppose 0 = -w*i - 2*y - 268, -2*y - 177 = 5*i + 158. Let q = i + 117. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -682 (base 10) to base 11.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of 3*p**5\/20 + p**3\/3 - p**2 + 1361*p. Let r be -3 + -2 + 3 + -3. Let t(q) = 7*q**3 + 3*q - 4. Calculate r*h(j) + 2*t(j).\nAnswer: -j**3 - 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 52, -9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 5*g - 1. Let j(n) = 4*n**2. Determine j(t(z)).\nAnswer: 100*z**2 - 40*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*j**3 - 9827*j**2*o**2 - 32*j**2*o + 8*j**2 + 2*j*o**2 + 2*j - 215*o**2 + o + 75982 wrt j.\nAnswer: 12*j - 19654*o**2 - 64*o + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2613, 10441, 23483, 41739?\n\"Answer: 2607*b**2 + 7*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -807.51 - -14.51. Let m = 793.4 + j. What is the second biggest value in 0.019, -1, m?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0179327411 rounded to five dps?\nAnswer: -0.01793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 541490061 to the power of 1\/2, to the nearest integer?\nAnswer: 23270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 183897 and 31899.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-22 + 15)\/(-7)*11*1. Let c(l) = 2*l**2 + l. Let y be c(-6). What is the greatest common factor of y and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -42 + 49. What is f rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 6  (b) 1  (c) 0  (d) 126.3  (e) -0.3  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 450989, 901981, 1352973, 1803965, 2254957, 2705949?\nAnswer: 3156941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -8, 60, 284, 754, 1560, 2792, 4540, 6894?\n\"Answer: 15*r**3 - 12*r**2 - r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 + 2.344194\nAnswer: 2.354194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1320 + 1325. Let n(b) = -b**2 - b. Let t be n(-1). Suppose -u - 1 = 5*w, -u = 3*w - t*w - 1. What is the second biggest value in -5, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -114 - -212?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -58 + -10 + (31 - 34).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 2340 = c. Let d = 1064 - c. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 4:24 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of 0*y**4 + 46\/21*y**7 + 0*y**6 - 1 - 65*y + 0*y**2 - 22\/3*y**3 + 0*y**5. What is the second derivative of x(h) wrt h?\nAnswer: 1840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 43805521 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 = 4*b - 29. Suppose -b = 3*n - 5. Let h = n + -10. Which is smaller: -19 or h?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 t, 1 r, and 1 b when four letters picked without replacement from trvrvvtvvbrvrvvtrvbv.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 30. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 + 29*i - 22. Let v be s(28). Find the third derivative of -v*t**3 + 22*t**2 + 54*t**4 + 6*t**3 - 31*t**2 wrt t.\nAnswer: 1296*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1743\/7730 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 8*o**3 - 16*o**2 + 16*o. Let i(n) be the second derivative of 3*n**5\/20 - 5*n**4\/12 + 5*n**3\/6 + 4*n + 1. Calculate 16*i(m) - 5*l(m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = 3*c + 6. Suppose -2*h + 12 = 4*w, -w + 3 = c*h - 6. Is 8 - (0 + w + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 1:34 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 94160 and 616.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -20559 or -20553?\nAnswer: -20559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 + 8*u**2 - 7*u + 18. Let i be g(-9). Which is the closest to i?  (a) -4  (b) -0.5  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u**4 - 548*u**3 - 13452*u**2 + 28532*u - 14536 = 0 for u.\nAnswer: -23, 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*l**2 + 1003*l - 6*l**2 + 27*l**2 + 1166*l - 2169*l.\nAnswer: 53*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**4\/5 - 2448*x**3\/5 - 444216*x**2\/5 - 32295632*x\/5 - 830234724\/5.\nAnswer: -4*(x + 83)**3*(x + 363)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 PM and 5:05 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 2:34 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 8*n**2. Let o(u) be the second derivative of 0*u**4 - 6*u + 0 - 1\/60*u**5 - 4*u**2 + 0*u**3. Let a(k) be the first derivative of o(k). Give s(a(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -57 + 29 + 6 - -34.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 2:08 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 140 divided by -20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fafa when four letters picked without replacement from {a: 2, f: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 141990 divided by -6?\nAnswer: -23665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 4, -1, -2, 3, -4 in increasing order.\nAnswer: -12, -4, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 0 = -3*s. Let w be (3\/(-12))\/(3\/4)*s. What is the second derivative of 6*o**2 + 1 + 6*o + 9*o**2 - w wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -11.4  (b) 1\/7  (c) 176  (d) -3\/8  (e) -12\/5  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41463 divided by -22.\nAnswer: -41463\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f - 212 = -41. Solve 0 = -13*b + f - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1108 divided by -277.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, o: 7, i: 2}. What is prob of sequence mm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/(-12) + (-306)\/4. Let z = 159\/2 + t. Put z, 5, -0.5 in descending order.\nAnswer: 5, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**5\/5 - 80*g**4 + 9312*g**3\/5 + 11698*g**2\/5 - 49727*g\/5 + 29118\/5 = 0. What is g?\nAnswer: -422, -3, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j + 5. What is b(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38 + 160 + 39)*(w - 2*w + 4*w).\nAnswer: 711*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(1 - 4\/8). Let z be (-63 - -64)*((0 - 4) + 20). Suppose 2*b = -3*q + 3, -1 = 4*q + 2*b - 3. Put i, q, z in decreasing order.\nAnswer: z, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 219243 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 13906 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3*t = 18, 2*s + 9 = -2*t + 25. Let i be (0\/2)\/((-25)\/(-5) - s). Let v be (-2 - 12\/(-8))*i\/3. Solve -4*k + 28 = -2*x, x - 3*k = -v*k - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15 + 7. Let r be (-15)\/(-6)*k\/(-5). Factor -h + h**3 - h**4 + 4 - r + h**2.\nAnswer: -h*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 190483 and 5497.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2287 or 0?\nAnswer: 2287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 3*t + 3675, g - 569 = 4*t + 647. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4080 - -10591. List the prime factors of a.\nAnswer: 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n + 49 - 1 = 0. Let w be ((-4)\/6)\/(2 - (n - 1)). Which is the second biggest value?  (a) -2  (b) -1\/9  (c) w  (d) 1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*q**5 + 2*q**4 - 51295*q**3 - 7909804*q?\nAnswer: -160*q**3 + 24*q**2 - 307770*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(66)*-3*5 - sqrt(66)))\/(-6*1*(sqrt(30)\/sqrt(5) + sqrt(6))).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 4*g - 9. Suppose -2*f + g = f. Let j be (3 + 3)*f - 2. Solve j*a + 6 = 22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**4\/8 + 2*n**3 - 19*n**2\/4 - 2*n + 39\/8 = 0. What is n?\nAnswer: -1, 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - 1012022?\nAnswer: -1012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 2:10 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -503, 68800, 4, -2 in decreasing order.\nAnswer: 68800, 4, -2, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 378 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of -3*l**4\/4 - 10*l**3\/3 - 3*l**2. What is the remainder when t(-8) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 - -60. Let f = m + -40. Let i(c) = 4*c**2 + c + 2. Let x be i(-1). Solve f*a - 5 = s, x*s + a = s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3165073.9 rounded to the nearest 1000?\nAnswer: 3165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-2))\/((-67)\/134)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -52*m. Let k(t) be the second derivative of 0*t**3 - 1\/12*t**4 + 30*t - 2 + 0*t**2. Give o(k(x)).\nAnswer: 52*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + (8 - (-112)\/(-11)). Let g = 3.9 + -4. Which is the nearest to -0.2?  (a) g  (b) -4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 + 7*j - 5. Let d = 214 - 176. Suppose -2 = 6*w - d. Determine y(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13807*l + 15088*l + 17541*l - 9104*l in the form y*l + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 67742757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2\/485, -1\/3, 2\/3, 0.14, -4 in decreasing order.\nAnswer: 2, 2\/3, 0.14, 2\/485, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 124 - 139. Let j be (36\/54)\/((t\/162)\/(-5)). Calculate the highest common factor of 48 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 928665 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -9147, -18293, -27437, -36579, -45719?\n\"Answer: h**2 - 9149*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 3:34 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -484579?  (a) 0  (b) -2  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 - 674*i - 3*i**2 + 681*i - 23*i**2 to m + n*i**2 + t*i and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of -d**5\/60 + 17*d**4\/6 - 245*d**3\/6 - 7542*d**2. Give w(64).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*l**2 + 13*l**2 + 9*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 2*b**2 - 2*b. Let p be o(2). Let y = p - -3. What is the greatest common factor of 14 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = 2*y + 13, -5*p + 16 - 38 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 4*d - 148, d - 309 = -4*q + 6*d. What is the highest common divisor of q and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 29.167 to 0 decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 3105 = 310. List the prime factors of f.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pfp when three letters picked without replacement from {m: 1, f: 1, p: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5235.28 - -5235.3. Let h = -0.14 - -0.08. Which is the third biggest value?  (a) h  (b) -4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 2*b - 69 = 5*b, -107 = -3*y + b. Suppose y = s + v, 2*v + 45 = 5*s - 156. Suppose 7*q - 4*q = s. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 12.459726 months?\nAnswer: 0.10383105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/462 or 0?\nAnswer: -1\/462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.06 + 5.06. Let y = 61 - 307\/5. Which is the nearest to 0.1?  (a) y  (b) 2\/11  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(84\/(-553)) + 1 + 49\/(-14).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 20470, 20466, 20462, 20458, 20454, 20450?\n\"Answer: -4*p + 20474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2003660221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-96)\/6)\/(((-12)\/(-2))\/(-12)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.36630648 rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/6)\/i*i**(2\/73))\/(i**34*i**(2\/59)) assuming i is positive.\nAnswer: i**(-908945\/25842)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 656, 1314, 1984, 2672, 3384, 4126?\nAnswer: 4904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 5*p**2 + 6*p + 2. Let x be r(6). Suppose -46 = -3*z - 16. Calculate the highest common divisor of x and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 345672617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 960, 940, 916, 894, 880, 880, 900?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 12:51 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2911 - 99*l - 107*l + 189*l.\nAnswer: -17*l - 2911","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + -3*(-3 + (sqrt(405) - (sqrt(405) - (sqrt(405) + -2 + sqrt(405)))) + -3 - (-1*(1 + sqrt(405)) + sqrt(405) + 0)))**2.\nAnswer: -75320 + 11880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 13618\nAnswer: -27236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 485 divide 64990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = -n. Suppose n = 4*s - 184 + 172. Suppose -s*h = 8*h - 7403. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/2 - 7541*o\/2.\nAnswer: -o*(o + 7541)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 47163, -11 in decreasing order.\nAnswer: 47163, 6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-6)\/(-8))\/(1\/52) is divided by -1 + 15 + (5 - (-2 + 1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (15 - (6 - (6 - 7)) - 14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -128 + 128. Suppose 5*f - 9*f + 3*c + 108 = 0, c - 4 = m. Let v = f - -224. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/3))**26\/(y*y*y**7*y*y*y*y**(-6\/11)))\/(y*y**(-4)*y**(-5)*(y*((y\/(y\/(y*y*(y\/y**4)\/y)))\/y)\/y)\/y**(-3\/5)) assuming y is positive.\nAnswer: y**(-3034\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -86 - -86.4. Put 39, b, -1 in ascending order.\nAnswer: -1, b, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7943943 tonnes to kilograms.\nAnswer: 794.3943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (5 - (0 + 10)) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*w - 3 - 679*w - 1399*w.\nAnswer: -2016*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 4*w - 3. Calculate v(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/3 - 234*g**2 + 6422*g - 127426\/3.\nAnswer: -2*(g - 13)**2*(g + 377)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -3 + 9 + -14 + 21 + -59\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r**2 + 19*r - 4. Let o be (-21)\/(-14)*20\/(-3). Does 2 divide z(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 37 = -78*k + 81*k, 13*k = c + 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5737.129 meters to kilometers.\nAnswer: 5.737129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/8 - 301391*m\/4 + 90836534881\/8.\nAnswer: (m - 301391)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-20)\/42)\/((-16)\/(-48)) and -145\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 4*c - 4, -y + 2*c = y + 2. Let z be -2*2\/4 + 2. Put -4, z, y in descending order.\nAnswer: z, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 256, -38, 0, 7 in decreasing order.\nAnswer: 256, 7, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 21203, 41501, 61793, 82085, 102383, 122693, 143021?\n\"Answer: b**3 - 9*b**2 + 20318*b + 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r + 6. Let i be d(7). Let q be (-15)\/156 - i\/4. Which is the nearest to 0.3?  (a) -0.2  (b) 0.4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = -184*g + 185*g. What is the remainder when 311 is divided by g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*x + 114*x - 6900 = -53*x for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -1082*u - 8769. Give b(-9).\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -5*(-3*sqrt(3)*-1 + (sqrt(42)\/sqrt(2))\/sqrt(7)) + -2)**2.\nAnswer: 160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 473102647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 69 - -aad5b6?\nAnswer: aad61f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 12:07 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 5*b**3 - 6*b**2. Let k(s) be the first derivative of -9*s**4\/4 + 11*s**3\/3 + 2018. Determine 11*g(t) + 6*k(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -156.4 take away 6?\nAnswer: -162.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2 + 4 - 2*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + (1 - 1)\/(7 + -5). Suppose n*a + 4 = 5*g, -5*g + a = -7 - 0. Suppose -j + 44 = -4*v, 1 = -3*j + g*v + 183. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*j**5 + 5*j**3 + 115*j**2 - 2*j**3 - 9*j**2 wrt j?\nAnswer: 360*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 + 184*d**2 + 447*d - 147613. Give b(182).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 13\/5 - 2\/(-5). Let h be 20\/4*4\/(-5). Sort h, 5, p.\nAnswer: h, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-76)\/6)\/(1\/(-3)). What is the greatest common divisor of 152 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -390.5 + -484. Let l = k - -1119. Round l to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1288?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(11) - (sqrt(33)\/sqrt(3) + 1))**2 + 5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/765687 and -65\/39266?\nAnswer: 1531374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/102 and ((-1)\/595)\/(5*24\/(-3450))?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 337 = 6*o - 9*o, 20 = 4*o. Let x be (-836)\/p + 6 + -1. Which is the closest to 1\/2?  (a) x  (b) 3  (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/5  (b) 8  (c) 0.7  (d) 5  (e) 19\/1990  (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**2 + 4*b + 5. Let l(c) = c**3 - 4*c**2 + 4*c. Let p be l(3). Suppose 0 = 5*a - 5, -3*d - d - p*a = -107. Suppose -8*g + d = -14. Determine y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 670596 is divided by 47200?\nAnswer: 9796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1403 + 1416. Which is bigger: 59 or h?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 5*n**3 + n**2 - 5*n - 15. Let i(m) be the third derivative of -m**6\/40 + m**4\/8 + 4*m**3\/3 + 18*m**2. Let f(o) = 4*a(o) + 7*i(o). Give f(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 AM and 1:01 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 456 + -469 + (3 - (2 + (3 - 4) - -2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -24731448, -49462898, -74194348, -98925798, -123657248?\n\"Answer: -24731450*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 1 + 0 + 8*f + f**3 - 38*f**2 - 3*f + 43*f**2. Let x be l(-3). Suppose x*d = 8*d. Which is the third biggest value?  (a) 1\/4  (b) d  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -2. What is the closest to r in 1\/2, -13, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, -2\/21, 50\/33, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -r + 2. Let g = -364.2 - -365.2. What is the fourth smallest value in 2\/3, -4\/7, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -6. Suppose -5*h = -2*x - 1 + c, -5*x + 3*h = -5. Calculate the remainder when -1*(-3 + 1 + 1) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from yxnnnnnyy.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 89891 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -16. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -94072434 or -94072432?\nAnswer: -94072432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/2)\/(-2) - -2. Let g = 475 - 443. Let d = w + g. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4.1356 <= -0.74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9862 is divided by 494?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1148 - 114b61?\nAnswer: -1160a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 4:29 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-314)\/(-176)*2 + -4. Let v = i - -2\/11. Which is the smallest value?  (a) v  (b) 1\/3  (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 15) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 5*t = -8*n + 700, 4*n = -2*t + 570. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -3*n + 3*n - 33*n**2 + 30*n**2. Let s(g) = -17*g. What is u(s(y))?\nAnswer: -867*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-4)\/2*-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.018479 times -0.055\nAnswer: 0.001016345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1687507 - -0.1.\nAnswer: 1687507.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 53765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.96 - -0.96121. Round t to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b\/((b\/(b*(b*b**(-1\/11))\/b))\/b))\/b)\/(b**(2\/7)\/b*b*b)*b**(1\/4)*b*b\/b**(6\/13)*b assuming b is positive.\nAnswer: b**(13661\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*w - 2*w + 9*w - 23*w.\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-10)\/5 + 3)*(35 + -38). Which is the closest to 46?  (a) 4\/3  (b) i  (c) -4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11232746 is divided by 107.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -30901\/15 + 2060. Let t be 0 + (-1 + 1 - -2). Let m = -1 + t. Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4, -117, -490, -1241, -2496, -4381, -7022?\n\"Answer: -21*k**3 + 26*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101120101022000 - -1102?\nAnswer: 101120101100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h**3*q**3 - 23*h**3*q + 31842*h*q**3 + 4*q + 780 wrt q.\nAnswer: -12*h**3*q + 191052*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-1))\/t**(-1)*t\/t**3*t\/(t*t**(-2\/5))*t)**(-17\/3) assuming t is positive.\nAnswer: t**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -433 - -671. Calculate the greatest common divisor of 51 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14113134204 (base 5) to base 7.\nAnswer: -306561436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 157 = 2*u + 101, -5*u - 391 = 3*g. Let m = 131 + g. Solve 4*h - j - m*j = 7, -3*h + 12 = 3*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 4:40 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 253*a**3 - a**2 + 1. Let v be m(1). Suppose x + 3*c - v = 2*c, 0 = x - 5*c - 241. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2050)\/(-525) - (-6)\/63. Put -4, -1060, s in ascending order.\nAnswer: -1060, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 5*p + 26, -5*z - 20 = -9*z + 3*p. Suppose a - 4*a + 2*t - 721 = 0, -4*t - 454 = z*a. Which is smaller: a or -235?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 115*b + 5762. Calculate o(-50).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00488292552 to six dps.\nAnswer: 0.004883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -678 + 695. What is the remainder when 1034 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/j**(8\/5)*j*j)*(j\/j**(-10))\/j*j)\/((j*(j\/(j\/(j*j\/(j\/j**1))*j))\/j)\/(j**5\/j*j)) assuming j is positive.\nAnswer: j**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 2)*(-3*l**2 + 4*l**2 - 2 + 1).\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (57\/(-38))\/(6\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 16, 42, 80, 136, 216, 326, 472?\n\"Answer: t**3 + 19*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + -e9b9876?\nAnswer: -e9b9872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 0.2. Let g = -4 - -3.8. Sort g, 1\/3, p in decreasing order.\nAnswer: 1\/3, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -251420864*z**4 + 241348173 wrt z.\nAnswer: -1005683456*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 + 12*d + 8. What is p(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 19 = 4*c, 3*h + 4*c = -8 + 1. Let j(s) = -4*s**3 + 6*s**2 - 4*s - 2. Let z(q) = -5*q**3 + 6*q**2 - 4*q - 1. Let r(v) = h*z(v) - 4*j(v). Give r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 301 and 344.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2*-66*(-184)\/(-1518)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1258666 and 666?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(15\/12)\/(57\/57).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -723*a - 11571 - 923 - 23656 = 0 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, j: 4, w: 2, u: 6, x: 1}. Give prob of picking 2 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by 52?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.07783 and 1214.\nAnswer: 1214.07783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -6*r**5 + 12*r**4 + 13*r**3 + 15*r**2 + 5*r. Let c(w) = 3*w**5 - 6*w**4 - 6*w**3 - 9*w**2 - 3*w. Let p(f) = 5*c(f) + 3*g(f). Factor p(i).\nAnswer: -3*i**3*(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5912633, -5912623, -5912599, -5912555, -5912485, -5912383, -5912243?\nAnswer: -5912059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 1593*y - 9547. Let d be t(6). Let w = 9 - 6. Solve w*a = -2 + d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -3*s + 7. Let i(p) = 2*p - 5. Let l(o) = -3*f(o) - 4*i(o). Let t(m) = -m**2 + 4*m - 7. Calculate 5*l(b) - t(b).\nAnswer: b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**2 + 2*f - 1. Suppose 5*x + 7 = -4*l - 6, -l - 7 = 2*x. What are the prime factors of z(l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 349920 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 17, 31, 47, 65, 85, 107, 131?\n\"Answer: j**2 + 11*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5190.\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2 + 12*t - 33*t**2 - 5801*t**3 + 5828*t**3.\nAnswer: 3*t*(3*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 - 12. Suppose -3*l = -8*l + 200. Calculate the greatest common factor of l and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/4 + 35\/(-70). Let f(x) = -10*x**3 - x**2. Calculate f(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 105660 and 360.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3078\/1881*33\/(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 8:35 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 AM and 6:44 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*c**2 + 0*c**2 + 0*c**2)*(c**2 + c**2 + 2*c**2) to t*c**4 + k + z*c**2 + r*c**3 + w*c and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 143203653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4609252 is divided by 1152310?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v. Let l(c) be the first derivative of -5*c**2\/2 - 4. Let i(p) = 2*g(p) + l(p). Let s(u) = u**2. Determine i(s(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of -s**4\/2 + s**3\/6 - 50*s**2 + 41*s - 2. Let q(k) be the first derivative of p(k). Let l(i) = -i**2. Give l(q(b)).\nAnswer: -144*b**2 + 24*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -6. Let g = 4553.5 - 4554. What is the second smallest value in -50, g, r, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 3*c**2 + 2630847*c - 49987176 = 0.\nAnswer: -876968, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 4, o: 5, d: 8}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -524 + -15. Let l = m - -898. What are the prime factors of l?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0055707 rounded to four decimal places?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9162 divided by -4.\nAnswer: 4581\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 divided by 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 231 and 102?\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3 bigger than -2\/33795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*p**4 + 13*p**2 - 282*p**5 + 4*p**4 - 1254*p - p**4 + 266*p**5 wrt p.\nAnswer: -320*p**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 3*f - 8. Let d be q(4). Let u = d + 31. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 716 - 713. Let p(b) = 168*b + 1. Is p(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 6*i**2 - i - 3. Let t be z(-6). Suppose 5*n + t*o = 1544, -4*n + 523 = -5*o - 690. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 5 = 5*l, l + 5*v + 27 = 28. What is the closest to 2 in -1\/3, -5, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 + 9*q**3 + 0*q**2 - 20 - 9 + 3 + q**2 - 5*q as x*q + p*q**3 + k + d*q**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22163837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -13*w - 3. Let z be j(7). Find the common denominator of -71\/2 and (-7)\/(-56)*z\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4770704.\nAnswer: 2, 298169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9094*c**4 - 192*c**2 + 41*c + 1.\nAnswer: 218256*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 14*k + 6. Suppose -2*j - 5*r + 41 = 0, 3*j - 93 = 32*r - 29*r. Calculate the remainder when a(-8) is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/3 - (0 + 1). Let d = w - 2. Let f be 7*13\/(-182)*0. Solve d = x - f - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4422 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1159, -4535, -10151, -18001, -28079, -40379, -54895?\nAnswer: -71621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-5 - 3) + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 108976 and 16219?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 968 and 132208516.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 59.00162ug?\nAnswer: 59001.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*o + 46 = -10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 58649256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 = -3*y + 4*s, -y = -2*s - 32 - 5. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -9*i**2 + 8*i - 63. Let j(n) = -2*n**2. Let z(g) = b(g) - 5*j(g). What are the prime factors of z(-28)?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x - 9. Let c = -15 + 20. Let b(d) = 3*d + 14. Calculate c*b(i) + 8*v(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/180)\/(((-1)\/(-16)*-6)\/((-250)\/2200)).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*j - 43*j**4 - 3*j + 404*j**4 - 418 + 29*j**4 wrt j.\nAnswer: 1560*j**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 1661.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-94*n + 302 - 302)*(-n**2 + 2*n**2 - 3*n**2) + 2*n - 2*n - 2*n**3 to the form f*n**2 + s*n**3 + k + h*n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 77942 (base 13) to base 8\nAnswer: 647461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - 2*a**2 - 5*a + 3. Let m be g(4). Suppose -5*t = 3*h + 125 - 709, -5*h = -m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6260375603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 7*d + 9 = -2*v, -4*v + 15 = -5*d. Put 4, 12, -2, v in decreasing order.\nAnswer: 12, 4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -2.1, 170, -5, 4\/5, -1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -3, -149 in descending order.\nAnswer: 9, -3, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -5*y. Suppose 0 = -1099*s + 315*s + 1568. Solve 4*i - s*i - 2 = y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*s + 56*s - 34*s.\nAnswer: 70*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 6. Let k be (-3)\/(q + 2)*41. Is (-4)\/(-8) - k\/2 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2107 - -854?\nAnswer: 295b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5425\/4 - 688959\/508. Let a be 2 - ((-4)\/(-2) + -1). Which is bigger: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 10, g: 1, x: 1, r: 7}. What is prob of picking 1 a, 1 x, and 1 r?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28.7 + -28.7. What is the third biggest value in -2\/19, o, -2, 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g - 23. Let f(u) = -2*u - 12. Let i(v) = -5*f(v) + 3*j(v). Give i(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2044241033 (base 5) in base 3?\nAnswer: -22001221222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + 26394 = 3*q - 2*k, 3*q - k + 19788 = 0. Let i = -4316 - q. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/24*-6)\/(2\/(-12)). Solve l = -2*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 329 a factor of 87185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -44037030 divided by 185?\nAnswer: -238038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-222) + 1004990\/1626150. Let f be 1*-1*(-4)\/(-14). What is the closest to -1 in f, -2\/3, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -50 + 51. Solve 2 - d = -h + 2*s, -5*h - 5*s = -40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(171) - (sqrt(171) + sqrt(171) + -2)) + sqrt(171)))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -5. Let l = -886.3 + 884.3. Which is the smallest value?  (a) -1\/13  (b) l  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 5*n - 895, -n - 3*n - 3*o + 719 = 0. Suppose -3*m = m - n. Suppose -m = -3*h + 58. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(68)*1 + 5)*4 + (-4 + (sqrt(68)*-3 + 3 + sqrt(68) + sqrt(68) + sqrt(68))**2)*-6.\nAnswer: -13 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 minus 131.152674?\nAnswer: -130.952674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x**5\/4 - 21*x**4\/4 + 573*x**3\/4 + 1205*x**2\/4 + 153*x = 0. Calculate x.\nAnswer: -36, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n + 5. Let o be j(0). Suppose -s + 13 = -8*h + 12*h, h + 2*s = o. Solve 3*b - h*m - 3 = 0, -2*m + 7 = -b - 3*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 411*l**4 - 67*l**4 + 2*l - 8 + 5 + 8 wrt l.\nAnswer: 4128*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -19, -51, -99, -163, -243, -339, -451?\n\"Answer: -8*w**2 - 8*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -961450 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 10\/3 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006584861 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 7. Let r be 2\/(-2) + (-40)\/(-5). Let h(d) = 2*d - 2. Let f be h(r). Solve c*m + m = -f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 3 - 6)*(-2*r + 4*r + 0*r) + (-1 - r + 1)*((4 - 1 - 1)*(0 + 2 - 1) + (7 - 5 + 7)*(3 + 0 - 6) + (-2 + 1 + 2)*(16 - 38 + 19)))*(3 - 4 + 0).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17022*m**2 - 234 - 17775*m**2 + 34798*m**2.\nAnswer: m**2 - 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3415030 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2 + 0.7. Let y = 70 - 71. Let l = z + y. Put -2\/3, -2, l in descending order.\nAnswer: l, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (75\/(-2050))\/(21\/28)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51 - (29 + 59 + -10).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {a: 5, i: 8}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -j**3*o - 196*j**2*o + 30*j**2 + 79457*o wrt j?\nAnswer: -3*j**2*o - 392*j*o + 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4971 + -4957. Let u = 4 + -2. Suppose -3*w + 0 = -y - 15, 2*w - u*y - i = 0. Sort 0.1, w, -3, -3.4 in descending order.\nAnswer: w, 0.1, -3, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -429*l**6 - 420*l**2 wrt l.\nAnswer: -51480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -22*b**3 - 23*b**2 - 62*b - 92. Is q(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 231*m + 528*m + 1306*m - 45782 = -16*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**4\/2 - 8*f**3 + 3*f**2\/2 + 275*f - 484.\nAnswer: -(f - 4)*(f - 2)*(f + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 - 4*r**2 - 2*r - 4. Let x(s) = -1 - 2 - 2*s**2 + s**2 - 6*s. Let c be x(-6). Determine q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/104 in -0.13, -9\/41, -1, -3\/4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -38605 + 5.\nAnswer: -38600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -5*v - 16 - 2, 4*v + 14 = 3*r. Suppose 0 = -2*l - 0 - 6, 3*s - 9 = l. Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -506 - -604. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + -43 + 22 + 1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.19 > -207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) -61\/5  (b) -2085  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 + 49 - 12)*(4*u**4 - 2*u**4 + 2*u**3 - u**4) + 4*u**4 - u**3 + 0*u**3 - 3*u**4.\nAnswer: 53*u**4 + 103*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + b - 12 = 0, -b + 30 = -4*l - 6*b. Let u(a) = a**3 + 9*a**2 - 10*a + 1. Let r be u(l). Is 981 + -3 - (r + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 8 = -3*x, -y - 5*x = 6 - 28. Let f = 206\/17127 - 1\/519. Let d = f - 205\/693. Which is the closest to -1\/5?  (a) y  (b) 1\/5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + -1b79?\nAnswer: -1b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -388 + 390.57. Let z = 2.17 - u. Let v = 0.9 + -11.9. What is the third smallest value in v, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 46\/2126951?\nAnswer: 46\/2126951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6995, -3222, 3067, 11872?\nAnswer: 23193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 0.3, -2\/11, 2\/3, -0.08 in decreasing order.\nAnswer: 15, 2\/3, 0.3, -0.08, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*x**2 + 2*x**2 + 6*x**2 - 3 + x)*(-1 + 5 - 1) - 7*x + 7*x + 18*x**2 as f + v*x + r*x**2 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.12 + -0.42. Let q = -1077\/5 - -214. Sort -3, q, b.\nAnswer: -3, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8931 + -4057. What are the prime factors of r?\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -782998.98 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-44)*(262\/12 - 23\/(-138)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2947 + -1184. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 0.023, -0.1, -1\/5, -0.8 in decreasing order.\nAnswer: 0.023, -0.1, -1\/5, -0.8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 522338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2766926 and -265097.07.\nAnswer: 2501828.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-68)\/(-112))\/(-17)*-8\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -87*f**3 + 14 + 32*f**3 + 29*f**3 + 29*f**3 as m*f**2 + x*f + w + i*f**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes after 11:47 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 26456483.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -3\/5, 4\/9, 4, 3.42?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/20 + (-444)\/(-15). Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 404793855 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 21*d**2. Let h(b) = 0*b**2 + 11*b**2 - 7*b**2. Determine o(h(u)).\nAnswer: 336*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 24*d**2 + 11*d - 262. Determine t(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 PM and 3:48 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -75443166 (base 8) in base 11?\nAnswer: -9124161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48794 is divided by 343?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - -2)*(-6)\/(-4). What is the common denominator of 75\/4 and ((-27)\/(-24))\/(d\/(-52))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/8 and -34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 9*h - 220 = -5*y, -1 = y. Let i = h - 10. What is the third derivative of -35*f**3 + i*f**3 + 2*f**2 - 4*f**5 - f**5 wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(25\/45)\/(1\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/4)\/((-60)\/(-120)))\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(-1))\/(0 + 1). Let h = g - -1. Suppose -15 = -n - 2*i, 4*n + h*i = -0*n + 84. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110.005982 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(216)\/(sqrt(24)\/(sqrt(10)\/sqrt(5))))\/(4*sqrt(729)*1).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 32 = -3*i, 715 = i - 2*s + 727 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(8\/12 + -1). Let s be 16\/i - 8\/24. Let x = 9 - 5. Solve 3*f + x*k - 1 = -2, -s*f = 3*k - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 72 = 2*h. Suppose -2*k - 11 = 5. Let l be -135*-1*k\/(-6). What is the greatest common divisor of l and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1987.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*q + 6287 - 6791 + 0*q + 4*q - 1437*q**2 with respect to q.\nAnswer: -2874*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*j + 3*j - 1 + 2*j)*(0 + 1 + 0)*(18 - 7 - 69 + (4 + 0 - 3)*(4 + 0 - 2) - 3 + 2 + 0)*(-4*j + 5*j - 2*j).\nAnswer: 969*j**2 - 57*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.5 + 2.5. Let c be 1\/2*(-8)\/(-7). Put c, -0.2, k in ascending order.\nAnswer: -0.2, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 10*y**2 - 4*y - 15. Is x(-4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1770356737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 60*o - 152. Let k be m(-9). Let q = k - -692. Solve -3*b + 5 = -5*h - 17, q = 5*h - 5*b + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 2 + (-3 + sqrt(34)\/sqrt(2) - (0 + sqrt(1088))) - (sqrt(102)*-1*1)\/((1*sqrt(48))\/sqrt(8)).\nAnswer: -6*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 141766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 4221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 1 = 3*r - 3, 56 = 5*r - 4*y. Let u be 18\/4 + r\/(-16). Differentiate 4*h**u + 1 + 2 - 2*h**4 + 4 wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z**3 + 18*z**2 + 56*z + 134. Give j(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.159 + 37327980\nAnswer: 37327979.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 6*t + 28. Let y(f) = -f. Let l(v) = -2*j(v) - 18*y(v). Let n be l(8). Let k(q) = -q**3 - 8*q**2 + q + 4. What is k(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -41, -8, -4 in ascending order.\nAnswer: -41, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31586.\nAnswer: 2, 17, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -30106332 (base 7) to base 14\nAnswer: -48b452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, -104, -323, -742, -1427, -2444?\nAnswer: -3859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of -m**4\/4 + 2*m**3 + m**2\/2 - m + 1. Let j(y) = -3*y - 3. Let v be j(-3). What is the units digit of w(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1632 is divided by 266.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o + 9. Let h be t(-7). Let g = h + -15. Let q(l) = -g + 0 + l + 0*l. Give q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**5\/h)**(3\/7)\/(h**(-4\/3)*h)**(14\/9))**(13\/6) assuming h is positive.\nAnswer: h**(6539\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 333253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7143.1*-8.\nAnswer: -57144.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5055877 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.049, 1, -8\/7, 5, -18, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/15)\/((-140)\/525).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 272208538 and 2814.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8276449.\nAnswer: 131, 63179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 14\/3*318\/371. Let q(n) be the first derivative of 0*n - 2\/3*n**3 + 2\/5*n**5 - 1\/2*n**m + n**2 + 2. Factor q(y).\nAnswer: 2*y*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(4 + (sqrt(52) - (sqrt(156) + sqrt(156) + (sqrt(156) - (sqrt(156)*-4 + sqrt(156))))\/sqrt(3)) + -4 + sqrt(52) + 1)*1*5)**2.\nAnswer: -6400*sqrt(13) + 333200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(95) - (sqrt(95) + 1*sqrt(95))*2))\/(sqrt(125) - 2*(sqrt(125) + sqrt(125)*-2)).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 4*o**2 + o. Let j be r(-1). Suppose -10 + 1 = -j*v. Let y be v\/(9\/12 - 0). Solve y*n = 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 2 y when four letters picked without replacement from {k: 3, y: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/(g*g**(1\/5)\/g)))\/g**(-14)*g**(-3\/17)\/g*g**(1\/9))**2 assuming g is positive.\nAnswer: g**(20096\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3718)\/(-2145) - (-16)\/24. Factor -4\/5*c**2 + 0 - d*c.\nAnswer: -4*c*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25581780*f**3*p**3 - 3*f**3*p + 4684217*f*p - 1 wrt p?\nAnswer: -153490680*f**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 - 2*x**2 + x**2 - 2*x**2 + 2*x**2 + 2*x**2 + (0*x - 5*x + 3*x)*(3*x - x - 4*x) + 2*x - 2*x - x**2 + 4*x**2 + 7*x**2 + 3*x**2)*(-6 + 1 + 2).\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27\/(9\/(-1)))\/21.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 4 = -4*d, -4*z + 16 = 18*d - 14*d. Solve 4*o - z*k = 26, 32*k + 20 = 28*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 4*l**2. Let d(q) = -q + 2*q**2 + q**2 + 3*q**2 - 7*q**2. Let t = -4 - -10. Suppose -1 = -5*b + t*b. Give b*g(i) - 2*d(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 6673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1453  (b) 5844  (c) -1  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 + 20*r + 44. Let i be c(22). Suppose i = -12*n + 6*n - 960. Round n to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.7558 millilitres in litres?\nAnswer: 0.0157558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-4 + (-87)\/(-30)) + -2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/4)\/(15\/(-530)). Suppose -d - 7 = -5*c. Solve 4*i - c = 4*h, -3*i - 3*h + 2 = h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 22*a**2 - 2*a - 25. Calculate the remainder when 32 is divided by u(-22).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11576400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of p**7\/30 - p**6\/18 - 22*p**5\/15 - 2*p**4 + 15*p**3 + 47. Let k(n) be the third derivative of j(n). Factor k(v).\nAnswer: 4*(v - 3)*(v + 2)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -27*l - 26*l + 13*l + (2 - 3 + 3)*(0 + 0 + 3*l) + (l - 3*l - 7*l)*(0 + 1 + 1) + l - 3*l + 3*l.\nAnswer: -51*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1088 + -280. Let p = x - 415. List the prime factors of p.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3320750 by -185.\nAnswer: 17950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22333 and 1250165?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -257, 1\/2, 433?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11298428 to the nearest integer?\nAnswer: 3361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101 - 21220?\nAnswer: -22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2*1\/1 + 3. Let i = 2 + a. Calculate the remainder when 6 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -80, 1, -4 in decreasing order.\nAnswer: 1, -3, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -454 + 405. Let n be (-378)\/k + -8 + 0. Let y = 186 - 553\/3. Which is the fourth smallest value?  (a) 2\/7  (b) n  (c) y  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(576) + 1*sqrt(576) + sqrt(576) + sqrt(576))\/sqrt(8))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-14)*(-35)\/(25\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 6*o**2 + o + 1. Let b be (-1)\/(5 + -2 + -2). What is the smallest common multiple of h(b) and (-7 - -3)\/(4\/(-7))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2)\/(r\/(r**(-1\/48)\/r))*r**(9\/2)*r*r*r\/(r\/r**22))**(-2\/45) assuming r is positive.\nAnswer: r**(-235\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -3. Let u be 80\/(-1 + 5) - 1. Let s = 14 - u. What is the third biggest value in -0.2, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 smaller than -26\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4021965.\nAnswer: 3, 5, 139, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r**4 - 552*r**3 - 1620*r**2 + 16*r + 2160 = 0 for r.\nAnswer: -135, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.06?  (a) 5  (b) 0.4  (c) 0.04  (d) 104\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 56*f**3 - 4*f**2 + 225. Let k(j) = -28*j**3 + 2*j**2 - 112. Let m(x) = -7*k(x) - 3*z(x). Find the first derivative of m(s) wrt s.\nAnswer: 84*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -9 - (15 + (-9 - 6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**9)\/(k\/k**(2\/9))*(k\/(k\/(k\/k**(-2\/13)*k)))**31 assuming k is positive.\nAnswer: k**(8891\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*v + 14 = -24*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2  (b) -1\/5  (c) -1  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 7*x = -160. Let v be ((-1 + x)*-1)\/(2\/8). Suppose 0 = -6*t - 2 + v. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 34093 - 136367\/4. Factor -3\/2 - q*a + 11\/4*a**2.\nAnswer: (a - 1)*(11*a + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 550  (b) 1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 247*q. Let x = 743 - 581. Let t(g) = 49*g + 59*g + 56*g - x*g. What is f(t(d))?\nAnswer: 494*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-seven halves of a year?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 5 + 22. Let k = g - -6. Suppose 36*y = 29*y + 14. Solve -y*h - k = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -492 = 8*j + 74*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0291383 and -0.05?\nAnswer: 0.001456915","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m + 42 = -8*m. Solve -5 = -4*h + m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*a + 19*a - 1 = d, 4*a - d = 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 2*z = -8 - 7, 0 = -4*k + 4*z - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -5*n**2\/3 - 13052140*n\/3 + 4350715 = 0.\nAnswer: -2610429, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133)\/(sqrt(7) + sqrt(28)*3))**2.\nAnswer: 19\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/40*9\/(-27)*6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -16, -68, -148, -250, -368, -496?\n\"Answer: q**3 - 20*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -256*o**4 - 2983520*o**3 + 1864887*o**2 + 1013994*o + 104895 = 0. Calculate o.\nAnswer: -11655, -3\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2230 or -2231?\nAnswer: -2231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/6*(-1)\/3. Let p = 156467\/15 + -10431. Which is the fourth biggest value?  (a) p  (b) 1  (c) 0.7  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 7*q + 6 + 9 = 0, -4*q = 2068*d - 2063*d - 53 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -12\/10939 and 17\/657.\nAnswer: 7186923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/30805827 and -54\/3949465.\nAnswer: 154029135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 - (0\/(-4))\/2 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 - -57514?\nAnswer: 57513.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12860 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2 from -43079163108.\nAnswer: -43079163106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 36, -3 in ascending order.\nAnswer: -3, -2\/5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -45*a**2 - 11704*a - 1126. Determine h(-260).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + sqrt(72) + 0 + sqrt(72))**2 - ((sqrt(8)\/sqrt(4) + sqrt(2))*1)**2.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 + (10 - (11 - 5)). Let a be (-116)\/(-10) - o*14\/(-35). Solve 7*y - 4*y = a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-100)\/700 - (-12)\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 21*c**3 - 9*c - 5. Let x(z) = z**2 + 5. Let l(t) = -5*t**3 + 3*t**2 + 2*t + 16. Let j(q) = -l(q) + 3*x(q). Determine 18*j(s) - 4*y(s).\nAnswer: 6*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 2*o - 19 = -74, 0 = 4*m - o - 44. Factor 2*v**4 - m*v**3 - 18*v**3 - 26*v**2 + 25*v**3 - 14*v - 6*v**3.\nAnswer: 2*v*(v - 7)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10490933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201*x - 544*x + 45916 = 850*x + 8933 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1213311 and 588272.\nAnswer: 19412976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 + 10*k + 4. Let b be n(-8). Let r = 17 + b. Find the common denominator of 40\/33 and (-2)\/r + 415\/225.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 2*a**2 - 8*a - 7. Let w be u(7). Let f(c) = c**2 - 10*c - 4. Let o be f(13). Let v = 37 - o. Solve -3*x = 4*r + v*x + w, -2*x - 11 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 3*k - 135 = 0, -4*m - k - 2*k + 176 = 0. Suppose 16 - m = 5*c. Is (307\/4)\/(c\/(-20)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156655117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - (18 - (12 + 14))) + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35.8 + -40. Let c = o - -3.66. Let i = -0.44 - c. Put i, 0, 0.2, -1 in decreasing order.\nAnswer: 0.2, i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 786\/4*590\/(-90). Let b = r - -1288. Let o = 29.1 - 28. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express z + 69*z**2 - 73*z**2 + 0*z + 3*z**3 - 3*z as q*z + m*z**2 + o*z**3 + c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/5  (b) 4\/5  (c) 5  (d) 219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, -2, -1, 10767, 4 in increasing order.\nAnswer: -3, -2, -1, 4, 5, 10767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3467 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6*(33279\/9 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (28980\/(-66))\/(-21) + (-1)\/(-11). Calculate the greatest common divisor of 49 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.009008543 - -3.009. What is d rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 5*r - 2, 5*r - 2 = -l + 4*r. Suppose 0 = l*k - 18 + 2. Solve 2*d - 4 = -k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*q - 194 = -34*q + 3*g, -4*q - 4*g = -368. Solve -25*b = q + 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + s + 47, -2*m + 3*m = 4*s + 62. Let y = -40 + m. Suppose y*o - k = o, -3*k + 18 = 3*o. Solve 0 = -w + o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 PM and 5:21 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 213 + -211. Suppose -5*x = -t*l - 6 - 9, 3*x = -2*l + 25. Solve -x = 10*n - 9*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -61.1 + 64.27. Let s = -0.17 + y. Let h = 55 - 55. What is the third biggest value in h, 1\/3, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -4*n + 6. Let b be c(1). Solve 1\/3*s**4 + 2\/3*s**3 + 0*s + 0 + 1\/3*s**b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 470+23\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 5*l**2 - 8*l - 17. Let w(v) = v**2 - 3*v - 11. Let n be w(6). Let s be p(n). Let k = -20 + s. Solve 0*b - 4*b = -r, 0 = 2*r - k*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 43 + -44. Which is smaller: s or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5337893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l**(1\/2)\/l)**8)**(21\/8) assuming l is positive.\nAnswer: l**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, s: 4, e: 1, m: 1}. What is prob of picking 1 n and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.337 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 3 + 3 + (-27 - -142) + -15?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*-3*(4 + -5). Suppose 2*r + 4 = t*r - 4*c, c + 1 = 5*r. Let p = 17.3 - 14.3. What is the biggest value in 0.2, -1, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**2)**36\/((l*l**(-2\/5))\/l**2) assuming l is positive.\nAnswer: l**(367\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (2 + -14 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7268580 and 33?\nAnswer: 7268580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 7 = r - 4*y, -4*r - 6 = -3*y. Let h(s) = -s**2 - 4*s - 5*s**2 - 9*s**2 + 14*s**2. What is h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 2)*(-38*f + 327 - 327) to m*f + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22\/(-60) + 2 - (-6)\/(-45).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**(-3\/8))\/(s**4*s))**31)**(-2\/25) assuming s is positive.\nAnswer: s**(899\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 77377, 156298, 235219, 314140, 393061?\n\"Answer: 78921*x - 1544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1036317.\nAnswer: 3, 19, 18181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 244.6889 from 0.5.\nAnswer: -244.1889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 4*x - 2. Let i be ((-5)\/25)\/((-3)\/15). Let c be w(i). Solve -c*k + 3*n + 1 = -13, -2*k - 6 = 2*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 473 - 425. Which is smaller: t or 49?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1479 - -5933\/4. Let f(k) be the first derivative of 0*k**3 + 9*k - 7 + a*k**4 + 0*k**2. Differentiate f(l) wrt l.\nAnswer: 51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -40\/1751 - 46477\/35020. Find the common denominator of t and 49\/110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -41  (b) -10  (c) 1254.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6855055 to the power of 1\/2, to the nearest integer?\nAnswer: 2618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -3*z**2. Let v(m) = 7954 + 25*m**2 - 7954 + 0*m + 0*m. Determine a(v(u)).\nAnswer: -1875*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 0 = -24. Let k be (20\/(-25))\/(4\/(-50)). Solve -11 - 5 = 4*x - t*z, 3*z - k = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and -10 + 7 + ((-129)\/(-1))\/3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.6 and 8.9?\nAnswer: 5.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(612))**2 + sqrt(17))*-4.\nAnswer: -2464 - 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1173902920?\nAnswer: 2, 5, 4637, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-6741)\/28)\/107)\/(9\/63*(-6)\/40).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 17849*g + 5 + 13693*g in the form b*g + f and give b.\nAnswer: -4156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (68*f + 130*f - 201*f + 1725)*(-2 + 5 - 2).\nAnswer: -3*f + 1725","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/2436 and -22\/10179.\nAnswer: 285012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 20\/(-44) - 0 - -1. Is 2 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1930 = -94*h + 614 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from ccsznsysscsymszzmmm.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-2 - (19 + -25)) + 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 272873046 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 PM and 12:41 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k + 6*k**3 - 7*k**2 + k - 2*k - 7. Let m(f) = f**3 - f**2 - 3 + 4 - 2. Let x be (-28)\/84 - 10\/(-3). Calculate x*g(z) - 21*m(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 110344254 (base 6) to base 5\nAnswer: 1002122114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 3*n + 240 = 0. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 + 476*y.\nAnswer: 2*y*(y + 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - 3*w - 3. Let h = -30 - -42. Suppose -4*j = h, -2*l + 0*j = -2*j - 2. What is the units digit of u(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2369.\nAnswer: 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, l: 2, t: 1, q: 3}. What is prob of picking 1 t and 2 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {y: 1, h: 1, n: 1, q: 2, w: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 10:44 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 62546364 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 98 + -93 + (52 - 123)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 71952793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -529942 * 0.1.\nAnswer: -52994.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 749*h**2 - 410*h**3 - 2248*h**2 + 748*h**2 + 751*h**2.\nAnswer: -410*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1323130123 - 3?\nAnswer: -1323130132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*m + 179*m = -216*m - 35938 for m.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 (base 11) in base 7?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4561607, 9123202, 13684787, 18246362, 22807927, 27369482, 31931027?\nAnswer: 36492562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 17*d**3 + 6*d**2 + 7*d + 7. Let o(r) = -8*r**3 - 3*r**2 - 3*r - 3. Give 7*o(z) + 3*q(z).\nAnswer: -5*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/8)\/((-147)\/(-56)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wabwwbwwwbwawwwww. What is prob of picking 1 w and 1 b?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {i: 15, n: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 129329235 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x**2\/8 + 13329*x\/2 - 89588841\/8 = 0.\nAnswer: 1879, 15893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 121 + -126. Which is the third smallest value?  (a) l  (b) -25  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47 + -43. Suppose 3*y - 22 + t = 0. Find the third derivative of -7*g**y + 14*g**2 - 2*g**6 + g**6 wrt g.\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 2*c - 2*c)*(4 - 4 - 5)*(-4*c**4 + 5*c**4 - 3*c**4).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/20 and 28\/42 - 38\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 7 + -14 + 5 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/h**(1\/7)))\/(h**2*h)*(h\/((h*h\/h**(2\/7)*h)\/h))**(-1\/38) assuming h is positive.\nAnswer: h**(-755\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19065954.\nAnswer: 2, 3, 3177659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 9.17 from -7.656167.\nAnswer: -16.826167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 343, 316, 289, 262, 235?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/8 and 47\/51566.\nAnswer: 206264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(60)\/sqrt(3) - sqrt(20)))\/(sqrt(1210)*-2 + sqrt(10) + sqrt(10)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = w - s + 4*s, 3*s + 10 = 4*w. Solve -k = -2*h + w, -4*k + 35 = 2*h + 3*h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = 1236*q - 1232*q + 16, 4*x + 21 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2712 = 87*a + 6*a + 108. Solve a = -51*w + 79 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.0426, 5, -13, -26, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -128*x - 3. What is the hundreds digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 2.5  (b) 25  (c) 5  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 86*n**2 - n + 25. Let a = 142 + -138. Is o(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 3*z**2 - 6*z - 5. Let o be m(-4). Suppose 2*l + o*d - 12 = -2*l, -2*l = -3*d - 6. Suppose l*h + h - 8 = 0. Solve -w = h*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -270 - -269.7618. Round f to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9615267 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13)*-1*2 + -2 + 3)*4)**2.\nAnswer: -64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -24900 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 856 is divided by 785.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*2*sqrt(121))\/sqrt(11).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -6 - 2*x**2 + 2*x**2 + 7*x - x**2. Let o be ((-21)\/6 - -2)*2. Let v = o + 8. Give k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 - 5. Suppose 6*u = z*u. Let l(g) = g**3 + g**2 - g - 1. Let v(a) = 6*a**3 + 6*a**2 - 5*a - 11. Let p(y) = -5*l(y) + v(y). Calculate p(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyoooy. Give prob of picking 3 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -4*i - 18. Let m be j(-12). Suppose -3*d - 11 = v - 0*d, 2*v + 3*d = -7. What is the remainder when (15\/m)\/((-1)\/(-12)) is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 7*h**2 - 8*h + 6. Let s be 34\/(-10) + (-4)\/(-10). Let y be s\/(-6) - (-45)\/10. Determine j(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135074 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 3*z**5\/4 + 87*z**4\/4 - 495*z**3\/4 + 525*z**2\/4 + 123*z - 153 = 0.\nAnswer: -34, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1109536587 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 24*o - 10. Let s be q(14). Let p = s - -229. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1605 - 11215\/7. Is k greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/57462 and -2\/302853.\nAnswer: 36948066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.14  (b) -3.9  (c) 0.031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 103\/106 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l**2 + 241*l + 2353. Calculate j(-11).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/2352 and 67\/24.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 0*o**2 - 2\/3*o**3 + 0*o + 2\/3*o**4 = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 9*s + 14. Let j be x(14). Let r = j + 273. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (16\/(-2))\/(2\/3). Let l be (q\/5)\/(4\/(-10)). What is the greatest common divisor of 12 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1530 at most -1528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d410 + -29?\nAnswer: d3c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 8 = -v - 0*v, -j = 4. What is the units digit of v\/(-4)*3 - -55?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39759 is divided by 1529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3\/7 + 10*o**2 - 256*o\/7 + 248\/7.\nAnswer: -2*(o - 31)*(o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 7, q: 2, v: 3}. Give prob of picking 2 v and 1 q.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 57808500*i**3 + 2*i**2 + 430513590 wrt i?\nAnswer: 173425500*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n + 2 = 14. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 261969?\nAnswer: 1\/87323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -28153*f + 28158*f, 11*x = 5*f - 48 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 10 + 2)*(2 + 0 + 0)*(2 + 2*f - 2).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnqqqqlnq. What is prob of sequence qq?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 + -16. Is -15 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47854, 3.5, -2 in descending order.\nAnswer: 3.5, -2, -47854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 333.401 decades?\nAnswer: 40008.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tttttttttttttttttzz. Give prob of sequence ztt.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35.71421 centuries to years.\nAnswer: 3571.421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-5))\/(1*(-27)\/(-90))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j + 15. Let d be s(-11). Suppose d*k - 5*k = -4. What is the second derivative of 3*n**k + 2*n**4 + 14*n - 6*n wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 28 = 4*j - 5*b, -2*j + 26 = 4*b. Put -4, 1, -1, j in decreasing order.\nAnswer: j, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + -1 - (-1)\/(-2)*-4. Suppose -13 = 3*g + g - b, 5*g - 4*b + 19 = q. Let h be (-3)\/(2 + g)*1. Solve -h*v = -6 - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1026 - 683. Let q = -76966335526 + 76966335869.00000533. Let n = t - q. What is n rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of 13*a**4\/3 + 899*a. Let f(b) be the third derivative of -b**5\/60 + 6*b**2. Give h(f(n)).\nAnswer: 52*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 5*r - 120, -r + 3*r + 83 = 3*c. Suppose 5*g - 2*f - 32 = -4*f, c = 5*g - 5*f. Let z = -81 + 96. Solve -z = -g*y + y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = 40*j + 1916, 224 + 14 = -3*j - 2*j - 2*x for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16495, 65999, 148513, 264037, 412571, 594115?\nAnswer: 808669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r - 2. Give u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 0.9. Let f = 797 - 802. Which is the second smallest value?  (a) 5  (b) -0.4  (c) t  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -127519\/1320 + 771\/8. Let p = f + 1\/33. What is the biggest value in p, 0.5, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 614 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (92\/(-483))\/(1\/6). Which is the third smallest value?  (a) r  (b) -2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v - 2. Let a be (15\/12)\/((-1)\/(-4)). Let p be s(a). Suppose 33 = p*j - 0*j. What is the lowest common multiple of 2 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -153 + -1?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.2  (b) -3  (c) -0.1  (d) -0.3  (e) 23239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 4:33 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -714?  (a) 1\/5  (b) -2  (c) 0.4  (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.1 + -0.1. Let p = -5 + o. Which is the second smallest value?  (a) p  (b) -0.1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 207, -1, 1, -6\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 0*d = 5*d + 60, 4*q = 4*d + 80. Suppose o - 3 = 0, s + 2*o = -2*o + q. Let l be (s\/18)\/((-4)\/(-18)). Solve j + 1 = -l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -44*b + 522. Let z be y(12). Let s(v) = v + 16. Let q(f) = 1. Calculate z*q(g) - s(g).\nAnswer: -g - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 - (-200)\/(-48))*((-6)\/(-3) + 0). Which is the fourth smallest value?  (a) -1\/4  (b) -3  (c) -223  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -3*o - 17 + 4*o**2 + 0*o - o**2 + 20. Let t(u) = 3*u - 1. Let c be t(1). What is the units digit of f(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -5*s - 4*j, -s + 0*j - 2 = 5*j. Let z(m) = -m**2 + 13*m + 11. What is the units digit of z(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 83750 and 208750.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2, 5, -23\/21, -0.36, 3?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(12\/7)))\/(p*p**(-1\/13)) assuming p is positive.\nAnswer: p**(72\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of i**6\/240 - 17*i**5\/120 - i**4\/24 + 3*i**2. Let j(l) be the second derivative of y(l). Is j(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 * 167\nAnswer: -2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -107 - -115. Solve 4*o - 4 = v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1283 - -1379. Solve 91*s - x*s = 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*i = 4*i + 4396. Let u = 627 - 370. Let p = u - i. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*p - 2515 = 333. Let a = 183 - p. Solve 0 = a*m + 22 + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3133 + 2439. Are -696 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 2\/13, 44, 1, -1\/8, 0.01571?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 7 - 25*q - 87*q in the form z + y*q and give y.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v - 7*v - 2*v)*(-45*v + 1 - 43*v + 89*v) - 2*v**2 - 4 + 2 + 4*v**2.\nAnswer: -3*v**2 - 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-2\/37))\/u**(-8)*(u*u\/(u\/(u**(-5\/7)\/u)))\/u**(-11) assuming u is positive.\nAnswer: u**(4981\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -735, -764, -795, -828?\n\"Answer: -p**2 - 26*p - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 789 + -788.999529. Round w to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 + -2 + 0 - -38) + -6. Let z be 2*5 - (-1 + 3). Is (h\/z)\/(2\/328) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 0 = 2. Let j be 2\/8 - y\/(-4). Solve j = 4*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1118 + 2352. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - -331?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104*p = -0*p + 215*p - 22330. Calculate the lowest common multiple of p and 490.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 697 (base 15) to base 6.\nAnswer: 10524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gkengktkgkne. Give prob of sequence ee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(-2) - (-1 - -4). Suppose 4*d + 16 = 4*m, 0*m + m = -n*d. Solve 2*p - m = -3*p + 3*x, 5*x = 4*p - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 248 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1 + -0.1. Let z = -14.23 - -0.23. Let w = 4.484 - 0.484. Sort y, w, z in increasing order.\nAnswer: z, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/(-1020)*(-14 - -8)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1212 (base 3) to base 2.\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2 - 7447684*g + 13866999240964.\nAnswer: (g - 3723842)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4  (b) 299\/7  (c) -1\/9  (d) -11  (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.7 - -7. Let g = 3 - j. Which is the nearest to 0.1?  (a) 1\/3  (b) g  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 19096 and -0.02522.\nAnswer: -481.60112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(204)*-4)\/sqrt(12))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i**5 - 1068*i**3 - 760*i**2 + 24864*i - 23040 = 0. What is i?\nAnswer: -15, -6, 1, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 22103834449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -96 + 26*w**4 + 195 - 101 + 42*w**4 wrt w?\nAnswer: 272*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15.19999104 - 15.2. Round v to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 + f + 13. Suppose 5*h + 4*g + 49 = 0, 5 = -h + 3*g - 1. Let z be c(h). What is the greatest common divisor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141999 a multiple of 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6211 divided by -6.\nAnswer: 6211\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 4. Suppose 2*y + 0*p - 4*p + 28 = 0, g*y + 40 = p. Let u be 70\/y - 8\/(-44). Is 0 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -1\/2  (c) -275  (d) -3\/208  (e) 0.1  (f) -5\/2  (g) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 1 - (-5 + (0 + -8 - -4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27963 is divided by 436.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(-2)\/18*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 50*h**2 + 55*h + 5. Let z(y) = 38*y**2 + 54*y + 4. Calculate 3*f(s) - 4*z(s).\nAnswer: -2*s**2 - 51*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*5*(-5 + 4 + -4 + 1*sqrt(720)))**2.\nAnswer: -48000*sqrt(5) + 298000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.0112 times -13\nAnswer: 0.1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -156 + 779\/5. Which is the smallest value?  (a) 10  (b) y  (c) 2\/5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -7, 5, -266, 7.7, -2\/17, 0.06?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - -11. Suppose -187 = 2*q - u*q + 3*t, -q + 46 = -t. Find the third derivative of -3*h**2 - 49*h + 10*h**2 + 4*h**3 + q*h wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/2 - 2 - -4. Does y = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -9*k + 89. Let h be w(6). Solve -h = -4*m - 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1575\/(-60) - 2\/(-8). Let z = s + 29. Factor -10*u - 10*u**z + 8*u**3 + 12*u.\nAnswer: -2*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 8334 = 3*d + 8440, -2589 = 62*d + 3*r for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjecixkc. What is prob of picking 1 e, 1 i, and 2 c?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -277 + 263.1. What is w rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 136 = -6*o, -40 = 6*o - 10*o + 3*w. Solve -o*h = 18*h + 19*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = 4*n - 17*n. Let g be -1*759\/(-110) - 4\/10. Which is smaller: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 24260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 48335 by -6905.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/60 and -35\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*m + 29, -4*m - 4 + 24 = 0. Suppose -n = 4*l - 3 + 8, -55 = -5*n - 4*l. Let f = n + o. 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 the second derivative of -181*g**3 - 1720*g + 859*g + 1085*g wrt g?\nAnswer: -1086*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**3 + 565*y**2 + 2200*y + 2180.\nAnswer: 5*(y + 2)**2*(y + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 - 18*u**2 + 13*u - 54. Let i be a(-19). Let v = -58 + i. Factor 8*m + 27*m + 49 + 23 - 22 + 5*m**v.\nAnswer: 5*(m + 2)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 58 = 5*b - 914, -b - d + 172 = 0. What is the greatest common factor of b and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - 32056?\nAnswer: -32061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2615028993 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (15 - 16)*-4*1. Solve 3*i = -2*i - t*d + 40, -3*i + 7 = -d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 443.1 + -483. Let w = -137 + 97. Let j = w - r. Put j, 3, -2\/3 in descending order.\nAnswer: 3, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/45)\/((252\/(-98))\/((-45)\/42)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 4:15 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1317762 and 10971.\nAnswer: 69841386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -2*p**2 - 6*p + 2. Give f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 157244668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 equal to -65\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -223*g + 77*g - 11 + 75*g + 74*g - 71.\nAnswer: 3*g - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 448*y + 79 + 1 - 10 = 225*y + 220*y, -4*y - 75 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3110*b + 28079 - 171139 = 0 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1360 is divided by 381?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3319888879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 0*a + 4*a)*(-2 + 1 + 3 + 5).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/z**(4\/3)*z\/z**(-15)*z\/z**(-4\/7)*z*z*z**(1\/6)\/z*z assuming z is positive.\nAnswer: z**(815\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 0.4852?\nAnswer: 4.5148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -6 - (-4 - -2 - (2 - 4) - -8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*u - 4*u + 6*u - 2 + u + u + 0*u + (199 - 302 + 180)*(2*u + u - u) to o + v*u and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1\/181933 - 545795\/727732. Let p = 5 - 0. Suppose 1 + 4 = -p*q. Which is the closest to 0?  (a) q  (b) y  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 322*i**2. Suppose 5*w = 5*p + 5, -2*p + 14 + 19 = 5*w. Let o(x) = 4*x - 25*x + 4*x + 11*x + w*x. Calculate o(k(q)).\nAnswer: -322*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 1, -3, 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of 5*j**2\/2 - 87*j - 75. Let m be t(18). Solve 2*w = -m*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/6 - (-31)\/21. Let d = 129.3 - 128.8. What is the third smallest value in d, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 7*f - 1 - 38*f.\nAnswer: -45*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 - 9*v**2 + 20*v + 3. What is the remainder when 59 is divided by z(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 991*u = -779*u + 26550 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.33?  (a) 5  (b) -0.2  (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 48 + -138. Let o = 74 + r. Does 2 divide o*(3 - (-14)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 343605986.0000185 - 343605917. Let b = -69 + i. What is b rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of -g**5\/20 + 5*g**4\/6 - 5*g**3\/3 + g**2\/2 + 5*g + 5. Determine v(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37921, 37169, 35917, 34165, 31913?\nAnswer: 29161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 14*f**2 - 5*f - 9. Let l(m) be the first derivative of -m**3\/3 - 7*m**2 - 5*m + 16. Calculate the remainder when t(3) is divided by l(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 3*x + 2*x = -13, 3*p = -3*x - 21. Let q be (p\/4)\/(16\/(-64)). Solve -3*h - q = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6274824.\nAnswer: 2, 3, 261451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 6 = -8*z - 6, 0 = 2*z + 2*o + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (57\/38)\/(1\/30*-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*t**2*y**5 - t**2*y**3 - 9*t**2*y**2 - 20*t*y**3 - 3*y**2 wrt y?\nAnswer: 120*t**2*y**2 - 6*t**2 - 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuf when three letters picked without replacement from {f: 4, u: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 + (-531)\/(-12) - (-56)\/(-224). Solve 6*y + t = 70 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3680.5 + -3681. Which is the second smallest value?  (a) 3\/7  (b) 168\/25  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -9*b**2 - 35*b - 6. Give h(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 4*f**2. Let s(i) = -72*i - 17646 + 17646. Calculate p(s(r)).\nAnswer: 20736*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 1. Let k = 230.3 - 230. What is the closest to 0 in -3, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 127\/4 - 32. Let k = -1 + 60. Let y = k + -56. What is the third smallest value in 2, y, -7, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of -k**6\/720 - k**5\/40 - 55*k**4\/12 - 4*k - 2. Let w(o) be the third derivative of p(o). Determine w(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156 - 156 - 7*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 5  (b) 0.9  (c) -1\/6  (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4702533662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/967932 and -95\/1638.\nAnswer: 12583116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 4, s: 1, x: 1, w: 2, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -0*p + 2*i - 4, p - 6 = -3*i. Let w(s) = s**2 + s - 2. Calculate w(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*b - 3*b - b + 0*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-26) + (-90)\/78.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 52618 + -262195492\/4983. What is the closest to -1\/4 in t, 2\/9, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 813 + -796. Solve 35 = -t*z + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 AM and 12:30 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) 16  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*v**3 - 3*v**4 - v**3 + 2*v**3 - 3 to a + w*v**2 + x*v + b*v**4 + u*v**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ququqyuyu. Give prob of picking 1 u and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 19*f + 13. Let k(a) = -9*a - 7. Let m(p) = 11*k(p) + 6*t(p). Is m(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 482650286 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 266 is divided by 90?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -s**5\/390 - s**4\/52 - 2*s**3\/39 - 10*s**2. Let v(a) = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 152 + 4?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11*1)\/(13*37\/(-962)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 3 - 14609089*m + 14617186*m + 6.\nAnswer: 8097*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*h**3 - 207 + 3*h**2 + 207)*(h**2 - 2*h**2 + 7*h**2).\nAnswer: -96*h**5 + 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4484*u*w**5 + 2*u*w + 4*w**5 + 67896 wrt w.\nAnswer: 89680*u*w**3 + 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-1\/27))**(3\/34) assuming u is positive.\nAnswer: u**(14\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9506?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 13, b: 6}. Give prob of sequence ccb.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21291339.\nAnswer: 3, 7097113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + -4 + 2 + (-62 - 0). Let q be c\/(-12) + -6 - (-2)\/(-12). What is the biggest value in -2, q, -2\/3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 7 + 6 - (3 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 24*g**2 + 5*g + 7. Let m = -72 - -77. Suppose 3*v + v + m*d = 17, 5*v = -4*d + 10. What is the units digit of z(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -213 - -111?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -120*l - 1536 - 2614 - 290 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - 17. Let m(u) = -u**2 - 7*u - 4. Let t be m(o). Is (-1)\/(t\/(-11))*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -478275, -478258, -478241, -478224, -478207, -478190?\n\"Answer: 17*o - 478292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 344807.32185 to the nearest one hundred.\nAnswer: 344800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68\/3*t - 22\/3*t**2 + 2\/3*t**3 - 16 = 0. Calculate t.\nAnswer: 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 665088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49184 is divided by 7011.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6503 + 1164?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**4 + x**3\/2 + 10*x**2 + 29*x\/2 + 6 = 0?\nAnswer: -3\/2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 191*r**3 - 20*r**2 - 4 wrt r.\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -0.16, -2\/11, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 555054 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from urrwrqwwurrrru. What is prob of picking 1 q, 1 u, 1 w, and 1 r?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {i: 8, r: 5, y: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h + 4578 = 12*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0059361104 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a - 2*d, -3*d - 10 = -a - d - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 245 + 668*t + t**2 - 1593*t**4 + 253 - 497 wrt t?\nAnswer: -38232*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3605 and 5799003?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 13294568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 56845251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -26*a - 4. Suppose -61*o = -4*w - 66*o + 143, -o - 47 = -2*w. Calculate the remainder when d(-4) is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 1 + (4 - -1) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -933*h + 4*h**3 - 6*h**3 + 5*h**3 + h**3 - 2*h**3 to n*h**3 + u*h**2 + l*h + f and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 AM and 2:27 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {r: 1, l: 4, b: 1, f: 1, x: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2794, -2774, -2754, -2734, -2714, -2694?\nAnswer: -2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of -a**3\/3 + a**2 + 3*a + 4. Let u be o(3). Solve u = -3*k - 2*p - 19, 3*k - 3*p = k - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 179432597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8482071 meters in nanometers?\nAnswer: 848207100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -149b (base 13) to base 10.\nAnswer: -3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, m: 1, s: 5, p: 1, a: 1, d: 2}. What is prob of picking 1 a, 2 d, and 1 m?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/101208440 and 25\/111329284?\nAnswer: 1113292840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6451?\nAnswer: 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -g + 2*g**3 - 5*g**2 + 4*g**2 + 5*g - 7*g to the form c*g**2 + p*g + q*g**3 + u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 5*n + 50. Let b = -15 - n. Let u(d) be the third derivative of -d**4\/24 - 62*d**2. Calculate u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*d**2 + 2*d**2 - 2*d**2 to j*d + z + f*d**2 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6855 - -6888. Solve 36*r + m + 75 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16.85 + -7.85. Let j = 0.01 - -0.99. Which is the biggest value?  (a) s  (b) j  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/13 in 4, -0.68, -7?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 504 and 14056.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -10794 divided by 502?\nAnswer: -5397\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4\/(-90))\/(260\/3900))\/(3\/2)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3\/2  (b) -2  (c) -2\/7  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-48))\/((-5)\/180).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from ywywyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 AM and 8:10 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22608 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/25 of a gram in milligrams?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -418*d**2 + 213*d**2 + 207*d**2. Suppose 5*t + 5 - 15 = 0. Let x(m) = t*m + 3*m - 6*m. What is p(x(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 - -21. Suppose -5*h + 37 = 2*v, 0*h + d*h = -3*v + 24. What is the remainder when h is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 5898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -2*d + 12, 11*d + y + 3 = 12*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 8:26 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1453095 and 2989?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fifteen quarters of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 0)*(-6 + 1 + 3 + 3 + 3 - 5 + (0 + 3 - 1)*(-3 + 3 + 1))*(4*f**2 + f**2 - 3*f**2 + (-6 + 4 + 1)*(0*f**2 - f**2 + 2*f**2)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 700158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.717599 centimeters to meters.\nAnswer: 0.00717599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 7*t + 7. Let v(n) = n - 1. Let r(y) = a(y) - 6*v(y). Let o be 5\/2*(-96)\/(-80). Suppose 6*s + 9 = 5*s - 3*q, -o*s - 2*q - 6 = 0. Give r(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29514 divided by -108.\nAnswer: -4919\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 257  (b) 176  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 + -24. Let z be (5 - 3)*u\/(-6). Solve -2*c = -z + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 185 - 187. List the prime factors of 3\/i*(-6288)\/36.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.445 and -21267235.\nAnswer: -21267234.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 340\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, i: 4, h: 1}. What is prob of picking 2 i and 2 y?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 2.6. Let q = 0 - 3. Let i be -5 - q - (-2 - -11). What is the third biggest value in i, c, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196039665?\nAnswer: 3, 5, 17, 61, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in sixty-one halves of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 PM and 7:10 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 134.9999826 - 135. What is d rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, d: 2, i: 1, o: 2, q: 1}. Give prob of sequence odad.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -526 + 34 - 4081*f + 3507*f wrt f.\nAnswer: -574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -228677.4 rounded to the nearest one thousand?\nAnswer: -229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-81)\/(-12))\/((-2)\/(-8)). Let s be ((-18)\/j)\/(1\/1). Suppose -20 = 4*r, r + 25 = 2*u - 2*r. What is the closest to s in u, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 - 5*w + 1. Let h be z(-5). Let d be 0 - (h - 9 - -1). Suppose d = 2*r - 1. Solve 3*t + 14 = r*n, -2*t - 1 = 5*n - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -102, -184, -276, -384, -514, -672?\n\"Answer: -b**3 + b**2 - 78*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -50735 - -26?\nAnswer: -50708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 4, -4, 3, -1 in increasing order.\nAnswer: -4, -3, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + 4)*(3 + 2). Suppose s*u + 119 - 4 = 0. Which is the smallest value?  (a) -3\/2  (b) 4  (c) u  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 + 30. Which is smaller: 2\/7 or l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -28 - -53. Let f be -1 - -2*3 - 1. What is the third derivative of -25*q**3 - q**2 + q**f + g*q**3 wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2375 and 625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4\/6 - (11000\/(-33) + 8) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3768*n**2 - 3 + 4 + 86*n**3 + 248*n**3 - 3767*n**2 + n**4 + n**4 to the form l*n**3 + w*n**2 + g*n + o*n**4 + k and give l.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -99 + 101. Let w(o) = o**i - 49 + 49. Let x(n) = 8*n**2. Determine w(x(g)).\nAnswer: 64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 2526*s = -2522*s, -6*k - 48*s - 98 = -7*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -751*s + 7498. Calculate q(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 27 - 176119?\nAnswer: -176092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 45 + -14 + (-110)\/(-5). Solve 0 = -4*t, -l = -3*a + 3*t - 50 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3697475 divided by 147899.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - -6. Let g = -12 + o. Let c = 7 - g. What is the second biggest value in 2, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -80440000 to the nearest one million.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/y**(-10)))**(-21) assuming y is positive.\nAnswer: y**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -25.8?\nAnswer: -7.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 47899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1*-2)\/((-289)\/102). Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.5401491351 and -0.2032?\nAnswer: 0.7433491351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3 + sqrt(363) + 4)*-3*-5.\nAnswer: 30 + 330*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 225 = 5*m - 5*k, 4*k + 3 = 11. Let s = m - 46. What is the greatest common factor of s and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -69387932 divided by -17346983.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 81.99 - -0.01. Let w = -82.2 + z. Which is the fourth biggest value?  (a) -0.1  (b) w  (c) 2\/7  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 657699810 rounded to the nearest one million?\nAnswer: 658000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 55 + -15. Let a(r) = -15*r**3 + r. Calculate the remainder when s is divided by a(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10b3 (base 12) in base 8?\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 2*o**2 - 3*o. Let u be n(-2). Suppose -2*v + 5*m - 4 = 0, 4*m - 5 = u*v - 5*v. What is the second smallest value in -3, v, 5, -0.093?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7516 = -68*h - 1128 + 18092. What is the remainder when h is divided by 96?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 15) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -82*y. Let n(w) = -165*w + 1. Give 5*b(p) - 2*n(p).\nAnswer: -80*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (158 + -40 + -7 - -15)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*u - 0*u. Let s(i) = -7 + 0*i**2 + 5*i**u + i**3 + i + 9 + 4*i. Give s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 308589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3 - 2 + 2 + 11*s - 6*s. Let d(n) = n**2 - 8*n + 9. Let k = -5 - -12. Let w be d(k). What is v(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -77 - -94. Find the first derivative of 10 - d*t**3 + 18*t**3 + 90*t**2 - 41*t**2 wrt t.\nAnswer: 3*t**2 + 98*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*i - 29*i + 1630 = 34. Let g(q) = -q**3 + 3*q**2 + 2*q + 1. Let a be g(3). Let o(h) = a*h - h - i*h + 4*h. Let r(y) = -5*y. What is r(o(k))?\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 + 6*t + 5. Suppose 2*r = 7*r + 30. What is the units digit of h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6297 = 3*l - 3*n, 104*n = 2*l + 103*n - 4203. What are the prime factors of l?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xuxnnaaanaunmuauazxu. What is prob of sequence zx?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*d**3 + 47 - 47 + 2 - 4*d**3 - 2 + (-5*d**2 - 3 + 3)*(-6 + 6 + 2*d) as b*d**2 + w + x*d + q*d**3 and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.029?  (a) 18\/245  (b) -5  (c) -2  (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(125)*2)**2 + 2).\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/3  (b) 14  (c) -0.1  (d) -1878  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011001011111011111111 + 0?\nAnswer: 11011001011111011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/87374284 and -49\/2336.\nAnswer: 698994272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -7b6 (base 15) in base 2?\nAnswer: -11011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, t: 1, b: 6, n: 5}. What is prob of picking 3 n and 1 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 6 - (-1 + 1). Let l = 91 - 46. What is the highest common factor of c and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26078 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 2*j - 11, -2*j + 4 + 10 = 4*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -13 + 1. Let v = 69 + l. Suppose -3*m + m + 3*k + v = 0, k - 31 = -m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-56)\/(-98)*(-5348)\/(-8). Suppose 20 = k*t - 372*t. Sort -5, -1, t, 8 in descending order.\nAnswer: 8, t, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (2 - 0)) + (-5 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 3*u**2 + 3*u + 3. Suppose -4*f + 5 = -3*n - 4, 10 = 5*f - 5*n. What are the prime factors of a(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -55.358 - 7.062. Let q = 62 + d. Let l = q - -12.42. Is l less than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 - t. Let g(f) = 4*f**3 + 5*f + 4. Let o(s) = g(s) + 5*m(s). What is the first derivative of o(c) wrt c?\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -177 - -200. What is the remainder when 137 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 7*y + 4. What is z(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -11 - 0*1\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 525 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 + 0.065887250791\nAnswer: -0.234112749209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -47672 by -6.\nAnswer: 23836\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k and 1 n when four letters picked without replacement from knkknkn?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5.52, -4, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 841 and 887690?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 45 = -15. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(93\/217*(-7)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53848 = 10*j - 9482. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 5:14 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 119 + -176. Suppose 5*m - 2*j = 293, -3*m + 5*j + 79 + 93 = 0. Let f = m + l. Solve -5*x + 4 = f*y, -3*y - x + 8 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155308185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 117\/(-26)*4\/(-12).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q + 2*x - 257, 5*q - 10*x = -14*x + 259. Calculate the remainder when 203 is divided by q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 * -0.094\nAnswer: 3.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 129536 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 12 = -0*m. Which is bigger: -3\/2 or m?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 92, -79, -0.5 in increasing order.\nAnswer: -79, -0.5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of -2*w**2 + 19*w + 3. What is the hundreds digit of o(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -4\/79  (b) 2\/9  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 1059*z**2. Let b(n) = -20973 + 20973 + 2*n**2. Calculate b(r(f)).\nAnswer: 2242962*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {p: 4, s: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 366 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84741 is divided by 28244?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5328\/47952*(-35)\/(-35)*1\/((-1)\/(-963))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2649, 2721, 2841, 3009, 3225, 3489, 3801?\n\"Answer: 24*o**2 + 2625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + 1 + 3 + 9. Let f = -7 + d. Let m = -7 - -11. Are m and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -fc2b9 + 12?\nAnswer: -fc2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.07 or 843.44463?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, -1\/3, 3.8, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 26*u. Let s(h) = 15266593*h**2. Give c(s(d)).\nAnswer: 396931418*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-12)*14 - (1 - 0).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2*(-14)\/35)\/(6\/(-15)). Find the third derivative of -10*h + 11*h**b + 185*h**5 + 3*h + 5*h - 4*h**2 wrt h.\nAnswer: 11100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 - 9*v + 8. Let a be y(-9). Suppose -a = -3*o + 7. Suppose o*x - 2403 - 752 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 - 14*u + 35. Let g = -63 + 77. Let p be z(g). Find the second derivative of -6*i**2 - i**2 - 5*i**2 + p*i - 11*i**2 wrt i.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 14 + s**2 + 17*s - 25 - 3*s. Let c be p(-15). Suppose -4*r - o + 3744 = 3*o, c*r - 3779 = 3*o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 36, 89, 142, 195, 248, 301?\n\"Answer: 53*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 32*b**2 - 1 + 2 + 0. Let w be p(-1). Suppose 0 = 2*f - 6*f - 5*a + w, 0 = a + 3. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*n + 8 = 13*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -175696*r + 32 = -175680*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2 = 2*s - 48, 5 = 5*b. Let j = s + -22. Let d be (6\/(-8))\/((-5)\/(-100)). Sort d, j, 4 in increasing order.\nAnswer: d, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(117) + -3 - (0 + (sqrt(78)*1 + sqrt(78))\/sqrt(6) + sqrt(13))**2.\nAnswer: -122 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - -3 - -3*10\/15. Suppose 55 - 19 = y*c. Suppose 4*h + 0 - c = 0. Solve u = -h*d - 13, -5*u = 2*d - d - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3360 and 236760.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1411 - 88895\/63. Let a = 185\/126 - z. Let c = 8 + -5. Sort a, -2, c in ascending order.\nAnswer: -2, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.3 + 0.7. Let v = -999330.1 - -999331. Sort v, b, 4, -5.\nAnswer: -5, v, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5f34f + 14?\nAnswer: -5f33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/1842 and -1\/192?\nAnswer: 58944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 152 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/40128 and 67\/448.\nAnswer: 280896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 5900*y**2 + 4130*y - 1770. Let v(w) = -3*w**2 + 7*w - 3. Determine 2*q(p) - 1180*v(p).\nAnswer: 15340*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 727?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 5343 + 2622 = 3*g, g - 2647 = 5*y. List the prime factors of g.\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43622904.\nAnswer: 2, 3, 13, 23, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 3694*x + 256 - 14935*x + 266 - 522 in the form p*x + n and give p.\nAnswer: -11241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*u + k - 6, -55*u + 50*u + 2*k - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 2:14 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*f**5 - 70*f**4 + 31*f**3 + 52*f**2 + 12*f = 0. What is f?\nAnswer: -3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + -1111101100000011000?\nAnswer: -1111101100000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29554904?\nAnswer: 2, 31, 119173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -30*d**2. Let s(x) = -25*x. What is j(s(o))?\nAnswer: -18750*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109 = -2*l - 5*n, 3*l = 2*l - n - 50. Let o = 85 - l. Suppose -127*m - 370 = -o*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0805355*-0.4.\nAnswer: 0.0322142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -6632128197?\nAnswer: -6632128187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -0.41  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n - 3. Let a be l(-2). Let k be -1 + 0 - -2 - -1. Let u = k + -3. Is u < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, -2, -4, -14, -38, -82, -152, -254?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 4*y - 62 = 0, 2*y = 5*x - 31 + 74 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3807 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (10 - (13 - 8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 7. Suppose j*m = m. Suppose -2*q = -4*d - 60, 5*q + m*d = 4*d + 132. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - 20. Suppose 9*j - 34 = f*j. Solve -3*x - j + 5 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 10, -2*h - 5*t - 12 = -126. Suppose 10*q - 220 = 15*q. Let p = h + q. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**4 - 42*w**3 - 44*w**2 = 0. What is w?\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 - 17. Let d(u) = u**3 - 4*u**2 - 7*u. Let m be d(w). Let n(a) = -a**2 - 11*a + 12. Is n(m) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 3\/8, -12733, 1\/8 in descending order.\nAnswer: 1, 3\/8, 1\/8, 0, -12733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1565\/7 - 224. Let m = 0.1 + -0.1. Which is the nearest to m?  (a) 5  (b) -1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4.3 or -51691?\nAnswer: -51691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 749*u + 744*u + 764*u - 2269*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 5*i - 0*i, -q - 3*i = 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**5\/21 + 516*c**4\/7 + 4090*c**3\/7 + 10652*c**2\/21 - 18408*c\/7 - 18384\/7 = 0. Calculate c.\nAnswer: -766, -6, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 157364848\/11 or 14305895?\nAnswer: 157364848\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-12)*4)\/(140\/30). Which is the closest to -4\/3?  (a) -0.5  (b) 0.3  (c) 2\/5  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/185114436 and 32\/117.\nAnswer: 555343308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88413, -88410, -88407, -88404, -88401?\nAnswer: -88398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 154 and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(7) + sqrt(700) + 2 + sqrt(700))**2.\nAnswer: 84*sqrt(7) + 3088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10842838, -10842840, -10842842?\nAnswer: -10842844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b**2 + 56. Let i(z) = -13608412*z. What is w(i(m))?\nAnswer: -370377754323488*m**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1904029 is divided by 63?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**5\/y**0*y**(1\/8)\/y**(3\/4))\/(((y*y*y*(y*y**6\/y)\/y)\/(y\/y**(2\/3)))\/((y**(2\/15)*y)\/y*(((y\/y**6)\/y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-1339\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 179 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3841 = -3685. Suppose 2*g + h + 1547 = -d, -g - 2655 = 3*h. What is the common denominator of ((g\/(-6))\/(-5))\/(-1 + 43) and 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/51844 and 31\/312.\nAnswer: 311064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1096482713 to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1707 and 134.1?\nAnswer: 1572.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152*j = 160*j - 3328. Let m(h) = j*h - 208*h - 19*h**2 - 208*h. Let z(p) = -7*p**2. Give m(z(g)).\nAnswer: -931*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -312*h = -321*h - 45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 970, 966, 960, 952, 942, 930, 916?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/11, 84.4, 1\/3, 0.5, -2 in increasing order.\nAnswer: -2, 2\/11, 1\/3, 0.5, 84.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*k - 4*m = 4*k - 2, 3*k = -2*m - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -47, 238, 519, 796, 1069, 1338?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 129 = 113. Let k(c) = c**3 - 3*c**2 + c - 3. Calculate k(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (-11 + 5)) + 2 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from slslselsslllssssslls. What is prob of sequence sls?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b + 18*b**3 + 9*b**3 - 3*b**2 - 8*b**3 + 0*b**3 to the form n + g*b**2 + c*b + h*b**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 2009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 2*(((sqrt(75)*-3 - sqrt(75))*-4 + -5)**2 - ((-1 + sqrt(75))**2 + 5)*5).\nAnswer: -1500*sqrt(3) + 37639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g + 3. Let w(t) = 2*t + 4. Let n(a) = 4*b(a) - 3*w(a). Let q(f) be the first derivative of -2*f**3\/3 + 41*f + 10. Determine q(n(d)).\nAnswer: -8*d**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -2, -0.2, -3\/20, -4 in decreasing order.\nAnswer: -0.1, -3\/20, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -1. Suppose 2*o = 3*j - 15, 0*o + 3*o = h*j - 10. Suppose 0*n - 2*n + 20 = o. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (12 - (0 - -11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 37028748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -672902801343 and -0.3.\nAnswer: -672902801343.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (2 - ((-4 - -4) + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -6\/11  (b) 32  (c) -1\/14  (d) -1193\/5  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 - 232 = -38*q + 215 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d + 12. Let p be x(-9). Let m(r) = -r**2 - 24*r - 41. Let f be m(-2). Suppose 5*o - 4*o = -p*t + 149, 5*o = -f*t + 757. Is 51 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -15*f + 16*f. Let o(p) = p**3 + 7*p**2 + 5*p - 8. What is o(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 48 = -5*t, 2*t + 2*i = 6*i + 14. Let s = -92 - -199. Suppose 1 = 4*m - s. Calculate the greatest common divisor of t and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10544 divided by -5272\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-594)\/660)\/((-3)\/4))\/((-2)\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 1864*z + 10453. Give g(-4).\nAnswer: 2997","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 374484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 3*m - 3*m + m. Let o(q) = -3*q**2. Let d(l) = -l**2. Let s(t) = -2*d(t) - o(t). What is n(s(z))?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 3:15 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21899*w - 48839.\nAnswer: -21899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -91*p**2 + p - 20. Let n(o) = 46*o**2 + 8. What is 5*n(l) + 2*y(l)?\nAnswer: 48*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5*b = -13, 5*m - 2*b + 4 = -5*b. Suppose 0*y + 8*y + 96 = 0. Let v be (-3)\/y*4\/(-6). Is m equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92292.68ml to litres.\nAnswer: 92.29268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + k**2 + 1. Let z be f(0). Let o(m) = 7*m + 1. Let u be o(z). Suppose -w = 4 - u. Sort w, 3, -2 in descending order.\nAnswer: w, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g**2 + 8*g + 6 - 7*g - 2*g to j*g**2 + v*g + k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of 5*b**3\/3 - 5*b - 5. What is the derivative of g(p) wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 - -0.0655?\nAnswer: -0.3345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.6 + -0.4. Let s = -1.39 + 1.4. Let t = -0.018 + 5.018. What is the smallest value in s, t, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 11*u**2. Let c(r) = -119*r + 56. Let j(p) = 13*p - 6. Let y(i) = 3*c(i) + 28*j(i). What is h(y(o))?\nAnswer: 539*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13488, 26707, 39934, 53175, 66436?\nAnswer: 79723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -29, 10, 0 in increasing order.\nAnswer: -29, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3374936174 to the power of 1\/2, to the nearest integer?\nAnswer: 58094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 6988334 + 4387814 = 0. Let h = -1255963 - d. What is h rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8151052 by -44786.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 3\/1724?\nAnswer: 3\/1724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 7662.\nAnswer: -3064.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 4*t**2 + 105*t + 24. Give a(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 AM and 4:27 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 387976.\nAnswer: 2, 48497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.7 + 0.7. Let n = s + 3.6. What is the second smallest value in 0.3, n, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6845.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, 0.6, 16, 2\/11, 3 in descending order.\nAnswer: 16, 3, 0.6, 2\/11, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7286a (base 14) to base 6.\nAnswer: -5530022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1565 (base 7) to base 14.\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37 - 12. Suppose -5 + d = 4*x. Suppose -5*h + x + 75 = 0. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-480))\/((-2)\/(-4))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/12*(-6)\/2*114\/(-304).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17\/18 - -4\/9. Let g = -3850 - -3850.4. What is the closest to -0.1 in 0.1, g, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 0.5, 5, 1\/17 in ascending order.\nAnswer: -1\/4, 1\/17, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 22*b - 28. Let p be o(-20). Suppose -3*i + 45 = p*i. Solve 0 = -2*a + a - i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 108874 and 3.\nAnswer: 326622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6928334 decades to millennia.\nAnswer: 0.006928334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -2*y + 264, -h + 6*h - 424 = 2*y. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14881000 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 420 and 2061440.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 15 = 0, 0 = 5*n - 381*m + 380*m - 217. What is the smallest common multiple of n and 473?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 10:11 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 8*z**2 + 28*z**4 + 6 - 4 - 2*z**2 - 22*z**3. Let q(u) = 56*u**4 - 44*u**3 + 13*u**2 + 5. Let b(v) = -5*h(v) + 2*q(v). Factor b(r).\nAnswer: -2*r**2*(2*r - 1)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/2  (b) -612.8  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 64515188 and -0.2.\nAnswer: -12903037.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -179*m**3 - 4*m**2 + 53*m - 1. Let n(w) = 4476*w**3 + 102*w**2 - 1326*w + 24. Let g(u) = -51*h(u) - 2*n(u). Find the second derivative of g(y) wrt y.\nAnswer: 1062*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13 - -3*6\/9 is divided by (-3)\/((-10)\/(-15) + 17\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-3)*0 - 4\/(-2). Suppose -139 = -x*z - 29. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-3)*48\/40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1958699, 1, 4, -8 in descending order.\nAnswer: 4, 1, -8, -1958699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of -l**5\/10 + 5*l**4\/12 - 2*l**3\/3 + l**2 - l. Let m be u(4). Let t = 89 + m. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*x**2 - 4*x**2 + 1870*x**4 - 1871*x**4 + 3 + 2*x**2 + 2*x**3 wrt x.\nAnswer: -24*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/14)\/c**(1\/18)*((c*c*(c**(-1)*c)\/c)\/c)**(2\/9) assuming c is positive.\nAnswer: c**(1\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1572482.3 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 66, -3, 0.3, -0.07?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from iiumuuufuuuuuiuullyu?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -5*x - 5*x - 11 + 11*x. Let r be u(8). Sort -4, -2, r in increasing order.\nAnswer: -4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - -3) + 4 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 6, t: 5, l: 1, o: 5}. What is prob of sequence ito?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + 24. Let d(v) = 16*v + v**3 - 12 + 0*v - 18*v**2 - 15*v. What is the units digit of d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -22, -64, -112, -160, -202, -232, -244?\n\"Answer: w**3 - 9*w**2 - 22*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -345244 (base 6) to base 5.\nAnswer: -1422232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, m: 1, z: 1, v: 1, k: 1, p: 2}. Give prob of picking 1 n, 1 z, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -7674, 53 in descending order.\nAnswer: 53, -7, -7674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((-4 + sqrt(171) + (sqrt(171) - -2*sqrt(171)) - (5 + -1*sqrt(171))) + (sqrt(171) + sqrt(171) + -1*sqrt(171))*6 + 4)*-1*4)**2.\nAnswer: -994368 + 15840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2536492066?\nAnswer: 2, 1268246033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.007 - 1018\nAnswer: -1017.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 - 91 = 21*m - 55 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.038921 to 4 dps.\nAnswer: 0.0389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 3220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110110110000111100110101 - 11000?\nAnswer: -10110110110000111101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 315 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*v - 56*v + 78*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*t**3 + 2*t**3 + 0*t**3 + (1 - 1 + 4*t)*(401*t**2 - 1041*t**2 - 372*t**2) + 4*t**3 - t**3 - t**3 to the form f*t**2 + u*t**3 + v*t + i and give u.\nAnswer: -4047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1701 or 1703?\nAnswer: 1701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -14 - 132\/34.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4*w = -6, -h - 5*w = 4*h - 30. Let s(o) = -o**2 - 8*o - 7. Let c = 10 - 16. What is the lowest common multiple of h and s(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -45030  (b) -0.5  (c) 0.1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/78*(-342)\/5415?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -227\/2 - -453\/4. What is the nearest to 2\/19 in 3, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -4*f**2 - f + 1. Calculate c(4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 3*s - 5*n, -4*s + 3*n = 5*n - 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 9*i**2. Let q = -19 - -14. Let f(w) = 10*w**2. Suppose 3*b + 24 = 5*t, 0*t - 4*t + 26 = b. Calculate q*f(y) + t*o(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.1 - -0.1. Let k = 295.6 - -78.4. Let p = k - 373.8. What is the closest to 4 in p, d, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l - 13*l = 224. What is the greatest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23.309259 to 1 decimal place.\nAnswer: -23.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 11*f - 27 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15\/6*132\/5. What is the highest common factor of 44 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m - 11 + 0*m + 11.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 423624 (base 7) to base 5\nAnswer: 4321441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 + 15. Suppose y*c + 108464 = 26*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (80*a + 112 - 112)*(-3*a**2 + 3*a**2 - 3*a**2).\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.16 and 241.1.\nAnswer: 240.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 4*g**5 - 32*g**2 + 54*g + 1. Let f(p) = -3*p**5 + 31*p**2 - 54*p. Let u(q) = 3*f(q) + 2*w(q). Find the second derivative of u(l) wrt l.\nAnswer: -20*l**3 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 788993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139406 is divided by 383?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3956\/18 + 4 + (-102)\/27. Let z = 350 - a. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2*d + 0*d**2 + 2*d**2 + 0*d**2. Let q be z(-2). What is the highest common factor of q and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of -11*i - 1\/90*i**4 + 8\/45*i**3 - 16\/15*i**2 + 0. Solve n(t) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14.1 + 7.1. Let q = j + 6.5. Let w = 22 - 21. What is the fourth smallest value in -3, -4, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1505*p = 1555*p - 350 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1073859474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23.348 + 1.652. What is the nearest to s in 0.1, -4, -1\/4, 2\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 5*f - 0*f - 68, 0 = 5*b + f - 216. Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 + 2*p**2 - 47*p - 12. Determine g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5 + (-10 - -13 - -3). Solve -7*m + 22 = q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 2*d**2 + 3. Let k(c) = -1. Suppose -4*p + p + 6 = 0. Suppose 0 = 3*g + p*g + 5. Let w(i) = g*b(i) - 3*k(i). Let l(m) = 8*m**2. What is w(l(s))?\nAnswer: -128*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -4*w**2 + 10*w + 4. Suppose 73*n = 66*n + 14. Let x(u) = 5*u**2 - 11*u - 5. What is n*x(l) + 3*p(l)?\nAnswer: -2*l**2 + 8*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35 - (-119 + 22 - -67).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 - 4)*(2 - 2 + 2*d) - 46*d + 17*d + 21*d + 0*d - 4*d + 2*d + (2 + 4 - 5)*(4*d - 5*d + 3*d).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7 - 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 - (2 - 22\/6). Suppose -471*k - 90 = -466*k. Let l be (12\/(-27))\/(-1 + 2\/k). Sort l, 2, d in decreasing order.\nAnswer: 2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -36*a + 2886. Calculate the remainder when 1464 is divided by j(79).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0206 and -307.\nAnswer: -307.0206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.0638, 2\/3, 0.3 in ascending order.\nAnswer: 0, 0.0638, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/(-15))\/(4\/10). Let h be (-2 + 4 + -115)*g. Let q = 616\/5 + h. Calculate the common denominator of q and -37\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, u: 1, s: 2, d: 1, c: 1}. What is prob of sequence scd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 32.4498 * 0.11\nAnswer: 3.569478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3297*-1.2\nAnswer: 3956.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35.995 - -0.495. Let w = -35.5000587 - s. Round w to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 28\/126 + (-34)\/(-9). What is the closest to -1\/4 in -1, b, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.514*0.09.\nAnswer: -0.04626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -568*p + 566*p + 3*u + 8, -2*p + 16 = -7*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(-21 + 13*t**4 + 26 - 2*t**3 + 22).\nAnswer: 13*t**4 - 2*t**3 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -r - 16. Let f(s) = -s**3 - 4*s**2 + 19*s + 27. Let z be f(-6). Let v = r - z. Do v and -1\/21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o - 2*o + 2*o. Let g(x) = -4*x. Let t(b) = 3*a(b) + g(b). Let w(d) = -276*d + 3*d**2 + 141*d + 135*d. Determine t(w(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - -11. Suppose -u - 2 = -f. Suppose 704 = -4*w + u*w. What is the remainder when 129 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 226\/1363 + -47\/116. What is the common denominator of r and 53\/376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1344 and 8256.\nAnswer: 57792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -9, 0.3, 0.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 74, 135, 186, 221, 234, 219, 170, 81?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2834\/1327 or 3?\nAnswer: 2834\/1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 313272 divided by 57\nAnswer: 5496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - 2*w + 2*w**3)*(3*w**2 + 317*w - 314*w + 27*w**2).\nAnswer: 60*w**5 + 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 567932.\nAnswer: 2, 41, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 23 = -5*j, 3*j + 5 = -8*b + 3*b. Let t(a) = 156*a - 5. Is t(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 + 7ba63b?\nAnswer: 7ba646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/5)\/((-200)\/(-750)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 565 = 5*w + 5*t, w = 2*t + 2*t + 98. Suppose -4*z + w = z. Suppose -6*u + u + 2 = f, 0 = -4*u. Calculate the highest common factor of f and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 + 901 = 16*y. List the prime factors of y.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 48417542 or 48417546?\nAnswer: 48417546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/8, 2649 in decreasing order.\nAnswer: 2649, 3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(180)\/(sqrt(48)\/sqrt(4)))\/((sqrt(24) - (sqrt(384) - sqrt(24)))\/sqrt(8) - sqrt(3) - sqrt(3)))*-2.\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15676 - (-3*4\/(-18) - 492\/(-369))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-1 - (7 - (5 - 1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22 * -1382.75.\nAnswer: -30420.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + -10. Sort g, 0, 5 in decreasing order.\nAnswer: 5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 1:25 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*l + 6. What is the greatest common divisor of 25 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 22*g - 65. Let c be t(5). Suppose 2*k = -2*u + 4, 4*k - 2*u - c = -13. Let y(z) = z**2 - 7*z + 6. Calculate y(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 7 + 0)*(3 + z**3 + 8424*z - 8217*z - 8).\nAnswer: 11*z**3 + 2277*z - 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2610342 + 21?\nAnswer: 2610363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 152, 129, 104, 77?\n\"Answer: -r**2 - 20*r + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -8*y. Let m be (0\/(-7 + 5 + 0))\/(-2). Let u(g) = 7*g + g + m*g - 3*g. What is p(u(f))?\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -7*s**4 - 392*s**3 + 2*s**2 + 4*s + 2427. Let c(k) = 8*k**4 + 414*k**3 - 2*k**2 - 5*k - 2428. Let q(z) = 4*c(z) + 5*m(z). Differentiate q(f) wrt f.\nAnswer: -12*f**3 - 912*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19\/3 + 7. What is the closest to v in -1, 2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0106 - 4.0106. Let s be (15\/9)\/((-4)\/(-12)). What is the smallest value in 3, v, -4\/3, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 - -56*(-2)\/(-26). Let h = u + -21\/26. What is the smallest value in h, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 - 3*g**2 - 6*g + 3. Let c be m(4). Let x = c - -9. Sort -5, x, -4 in descending order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25907, -57737, -95495, -139181, -188795, -244337, -305807?\nAnswer: -373205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -798 - -810. Suppose 4*k = i, -54 = -2*y + 12*k - 8*k. Solve -y = 4*u - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8700004?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -167\/46500 and 101\/14967420?\nAnswer: 374185500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 573\/218?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -279 - -484. Let v = i + -204.94. Sort 2\/21, 0.3, v in ascending order.\nAnswer: v, 2\/21, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 24 = -0*m. Let o be ((-32000)\/m)\/(9\/(-7425)). Round o to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10863 is divided by 191?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 12 = 3*s - s, 2*r = s + 6. Suppose -2*t + r = 8. Is (3\/(-9))\/(t\/534) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 654736 and 3936.\nAnswer: 161065056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -785 * 1798\nAnswer: -1411430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8750 in -3, 0, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + (46695\/(-209))\/(-15).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14377, 57772, 130097, 231346, 361513?\nAnswer: 520592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.02959 * 16\nAnswer: -0.47344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -41 + 19. Suppose -25 = 3007*d - 3006*d. Which is greater: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121\/8 - -1*(-20 + 5)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -103, -148, -193?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -44571, -91395, -140477, -191817, -245415?\n\"Answer: -1129*y**2 - 43437*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72238706.\nAnswer: 2, 79, 239, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(5\/(-65) + (-8)\/(-52)). Is (2*98891\/k)\/(2*1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17379 or -17393?\nAnswer: -17379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1565153 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 1\/6, 3\/4, -4, -30.\nAnswer: -30, -4, 1\/6, 2\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from imcnuqcncimmn. What is prob of picking 1 n, 1 m, 1 q, and 1 u?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-171)\/(-38) - 2\/4. Solve 5*r = -w*i - 32, i + 15 = -3*r - 0*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.02 + -0.02. Let w = 0.937 - -0.063. What is the third biggest value in w, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 10*p**3 - 4 + 2.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 109853304 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 2, 594, -0.2, -1 in ascending order.\nAnswer: -1, -1\/4, -0.2, 2, 594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1081494117 or -1081494116?\nAnswer: -1081494117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*t - 73*t = -52. Find the third derivative of -46*q**2 + t*q**2 + 2 - 311*q**5 + 65*q**5 wrt q.\nAnswer: -14760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 17*r**2 + 2*r - 2. Let d be (-18)\/27*(-6)\/4. What is the tens digit of l(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of -h**6\/180 - 7*h**5\/120 - h**4\/4 + 3*h**2. Let l(u) be the second derivative of m(u). Differentiate l(c) with respect to c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 - -114.54873\nAnswer: 130.54873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 divided by 3.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of -n + 2 + 1\/3*n**4 + 0*n**3 - 2*n**2. Let q(d) be the first derivative of i(d). Differentiate q(k) wrt k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 4 - 20 = 0. Suppose u - h - 10 = 0. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, r: 2, j: 4, x: 4}. What is prob of picking 2 r, 1 j, and 1 x?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6266\/5 or -1254?\nAnswer: -1254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 21\/2 of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2\/7 - 154064*p\/7 + 308144\/7.\nAnswer: -4*(p - 2)*(p + 38518)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 5*m + 5*a, 115*a = 2*m + 120*a - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - 6*q + 20. Determine i(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -1*(-1*(-3*-3*sqrt(567) + 1))**2.\nAnswer: -45926 - 162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 2, 15*o + b = 11*o + 1342. Calculate the lowest common multiple of o and 78.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -98\/5 - -19. Let p = -1\/2 + 1. Let y = -6.625 - -1.625. Which is the fourth smallest value?  (a) -15  (b) p  (c) z  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/6*(-8)\/6. Suppose v + 0 = q - 4*c, -3*q + 61 = -c. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1f113a (base 16) in base 14?\nAnswer: -3addc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 40 + -37.9. Let d = 1.4 - p. Let v = d - -16.9. What is v rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**4 + q**4 + 2*q**4 + (0 + 2*q**3 + 0)*(3*q - 5*q + 15*q) - 5*q**4 + 8*q**3 - 8*q**3.\nAnswer: 23*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 8*h + 302. Give f(-39).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 132\/182 + 190\/(-1235). What is the smallest value in -4\/3, 1.5, j?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 times -0.294093?\nAnswer: 0.03235023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -3*s - 1590. Let u be (14\/35)\/((-1)\/s). Let x = 187 - u. Calculate the least common multiple of x and 7.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000647842497 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**5 - 3*q**5 + 4*q**5)*(-2 + 8 - 1)*(21 + 19 - 45)*(3 - 7 + 2).\nAnswer: 50*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 181*n - 725 - 361. Solve 8*o = n*o + 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -4*o - 11 - 11, 0 = 2*c + 5*o + 16. Let x be -2*c*-3*15\/12. Suppose -x*a + 10*a = -90. Calculate the greatest common divisor of a and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 242 a factor of 61222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/2981000 and -5\/44.\nAnswer: 2981000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 522 + 1126. Does 103 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(121) - 1*sqrt(121)*2))\/((sqrt(66)\/(sqrt(8)\/sqrt(4)))\/sqrt(3)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bubk when four letters picked without replacement from {b: 2, d: 1, u: 1, k: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, l: 7}. Give prob of picking 2 l.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2796680 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5*(-1)\/(-2 - -1). Suppose 159 - 404 = -d*g. Let y = g - 23. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1272703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5004?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 185*t**2 - t + 1. Let s be p(1). Suppose -s = -6*b + b. Suppose 3*h - 4*r - b = -2*h, -12 = 4*r. What is the greatest common divisor of h and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 10 = -2*h - 0, -h = 5*g - 12. Suppose -5*b = 4*v - 3*v - 6689, 0 = -g*b + 5*v + 2654. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3*p + 26 = 0. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -878, 30\/707, 15 in decreasing order.\nAnswer: 15, 30\/707, -878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r\/(r**(8\/5)\/r*r))*r))\/r**(2\/3)*r*r**(-2\/5)*r*r**(-7\/5) assuming r is positive.\nAnswer: r**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -3*w**2 + 24*w - 201. Let q(f) = 8*f**2 - 47*f + 399. Let b(m) = 3*q(m) + 7*x(m). Find n such that b(n) = 0.\nAnswer: -14, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 94775095 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 + 8*z**2 - 3*z + 6. Let h be a(-6). What is the highest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 9*q - 5. Let g(c) = c - 1. Let m = -103 + 59. Let s = 173 - 185. Let h be 3*(m\/s + -4). Give h*r(k) + 6*g(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 7*m**2 + 6*m + 5. Let o(y) = y**2 - 5*y + 6. Let r be o(5). Let n be v(r). Is (-1 - -2)*445\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45738 = 15*n - 7287. Does 41 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 - 41*y**2 + 173*y + 131. Calculate the remainder when h(-45) is divided by 117.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7488 + -7528. What is the closest to -1 in -0.3, -0.1, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 6043, 7408, 8775, 10144, 11515, 12888, 14263?\n\"Answer: f**2 + 1362*f + 4680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 + 30. Let x(g) = -12*g**2 + 4*g - 16*g - 21 + g**3 + 50. Calculate the remainder when x(v) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8208) + sqrt(8208)*1 + sqrt(8208) - sqrt(57))\/(-5*sqrt(18)\/sqrt(6)).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {j: 3, i: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2.312, 15, 2\/165?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*q - 31 + 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-310)\/(-12) - 28\/280. Let s = 458\/15 - k. Suppose 0 - s*a + 414\/5*a**3 - 12*a**2 + 987\/5*a**4 - 588\/5*a**5 = 0. Calculate a.\nAnswer: -2\/7, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3522 bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 50*g**4*h**3 + 16393*g**4 + 548*g**2*h**3 + 104*g**2*h + 16*g**2 + g*h**2 wrt g.\nAnswer: 1200*g*h**3 + 393432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k - 635*k**2 - 575*k**2 + 210 - k - 621*k**2 + 1886*k**2 to o + c*k**2 + z*k and give c.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 12:02 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -385*o. Let c(x) = -25*x. Let t(v) = 44*c(v) - 3*k(v). Let a(g) = 24*g. Give t(a(q)).\nAnswer: 1320*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 10 = -n, -3*n - 15 = -5*j - 42 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 143 - 206. Let k = -62.9 - s. Sort -3\/4, 4, k, -2\/5 in descending order.\nAnswer: 4, k, -2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -7*p - 6*p**2 + 10*p**2 + p**2 + 4*p**3 + 9*p. Let w(k) = 12*k**3 + 16*k**2 + 6*k - 1. Let t(z) = -7*c(z) + 2*w(z). Calculate t(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 110, 6, 52 in ascending order.\nAnswer: 6, 52, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1116\/(-31)*(16\/(-2) + 2). Which is greater: -8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of q**4\/24 + 3*q**2 - 1. Let k(i) = 5*i. What is k(t(p))?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/12)\/((-2*5 - (446 + -458))\/(-16)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1230016 is divided by 1288.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 25\/4 of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1960)\/(-175))\/((-1144)\/(-110))?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 1, -3 in increasing order.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {l: 2, s: 3, d: 3, e: 7, o: 4}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2*n + 16 = 0, 2*f - 3*n = 12. Suppose 5*z - 7*o - 10 = -2*o, 2*z + 4*o - 22 = f. Let q = 46 - 26. Solve 0 = -z*t + t - q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4*y = -197, l = y - 3*y - 59. Let v = -62 - l. Suppose -217 = -p - 4*w, 0 = -3*w + v + 11. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 21 = 5*p, 4*h - 3*p - 10 = 6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: a (base 12) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 24\/14*(-3)\/5. Let p = r - -3\/7. Let d = 0.1 - -0.1. What is the second smallest value in 0, p, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12.2 * -5\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -498 - -503. Suppose -8*t + 2604 = 2*y - 3*t, 0 = i*y - 3*t - 6448. What is the smallest common multiple of y and 16?\nAnswer: 5168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*(-4)\/20 - -124. Suppose z*o + 1 = 123*o. What is the biggest value in 1\/4, o, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 - -8. Let c be (-3)\/(-4)*2\/(-6). What is the second biggest value in c, 3\/7, y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 12, r: 7}. What is prob of sequence qqrq?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 11120220202?\nAnswer: 11120220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 7 - 2*t + 2*t - 5 - 8*t. Let h be o(1). Let w be ((-4)\/h)\/((-18)\/(-405)). Solve -3*v + w = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -6*t + 8. Let f be 3 - (14 - 4) - -2. Let p(l) = l. Let w(d) = f*p(d) - q(d). Determine w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 24986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -51. Suppose 0 = 4*h + 8 - t. What is the lowest common multiple of 1 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 511 divide 32203939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6047 - -14794. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 times 3.4\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 31*g**3 - 4*g**2 - 43. Let m(u) = -162*u**3 + 22*u**2 + 215. Determine -2*m(b) - 11*t(b).\nAnswer: -17*b**3 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -18, -29, -40, -51, -62, -73?\n\"Answer: -11*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1493214 to the power of 1\/2, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1731 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/3, 0.04, 13, -34, -3, 12.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 950 = -316. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -10 + 132\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -138 greater than -138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 10336 divided by -2\nAnswer: -5168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -119.96159 + -0.03841. Sort 0.09, f, -2\/5 in decreasing order.\nAnswer: 0.09, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 6, n: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/3 + 84643556*z\/3 + 895566446540642\/3.\nAnswer: 2*(z + 21160889)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 6*a**3 + 36*a**2 + 3*a + 22. Let n be x(-6). Sort 29, n, -5 in ascending order.\nAnswer: -5, n, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61*-2.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of m**7\/840 + m**4\/24 - 83*m**3\/6 + 6*m**2 - 5. Let h(k) be the first derivative of l(k). Determine h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (0\/(-1) - 124). Let l = h + -199. List the prime factors of (l\/(-20))\/(3\/40).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25895043*4.\nAnswer: 103580172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 5*h**2 - 8*h + 4. Let r be n(3). Suppose 5*t + 32 = 19*j - 17*j, -2*j - 4*t = 4. Put -4, j, r, 4 in descending order.\nAnswer: j, 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 402651.6 minutes to milliseconds.\nAnswer: 24159096000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 46868619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 4*o - 20. Let x be g(11). Suppose 0 = 18*k - x*k + 18. Solve -3*l + 2*h = k, -5*h = -2*l - 0*h - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ohdo when four letters picked without replacement from {h: 3, d: 5, k: 1, o: 9}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 + 45*j + 18.\nAnswer: 45*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 15 = -3*n. Let b(o) = -o**2 - 7*o - 7. Let t be b(n). Solve 4*w - 2*x - 10 = 0, t*w + 15 = -0*w - 3*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 515487193?\nAnswer: 13, 71, 558491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, h: 2, m: 1, s: 2, c: 4, u: 1}. Give prob of picking 1 s and 2 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -2 + (-2*(sqrt(1872) + 0) - sqrt(1872)))**2.\nAnswer: 360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-54 + 12*u + 54)*(0 + 0 - u) + 0*u - u**2 + 0*u)*(-u + 2 - 2) as q*u + x + v*u**3 + h*u**2 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -792 divided by 6?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3185\/8330*2448\/18.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*f*r**3 - 2*f*r**2 + 2*f + 2*r**3 + 2*r**2 + 1264*r wrt r.\nAnswer: -54*f*r - 4*f + 12*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -8541879 bigger than -8541881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 4*o = o - 38, -5*f - 2*o = -57. Let y(m) = 6*m**2 - 3*m + 3. Let h be y(2). Suppose 5*s = h + 14. What is the remainder when f is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pajaewjaapeewejpea. What is prob of picking 1 j and 1 e?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -22827, -5, -6, 11 in descending order.\nAnswer: 11, -1, -5, -6, -22827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = q - 14, -5*q + 15*u = 13*u - 19. Solve 0 = q*f + 5*f - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - ((11 - 7) + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.14, 454, -59?\nAnswer: 454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-276)\/((-99)\/18 + 4). Which is bigger: 185 or t?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -10*w - 110. Let f be k(-11). Solve z = y, f*z + 3*z - 4*y - 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-2 + -1 + (-5 - -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6398945.\nAnswer: 5, 7, 23, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 33710 (base 9) in base 6?\nAnswer: 251530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*u - u - 23*u + 20*u - 5 + 51*u.\nAnswer: 64*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3. Let g(n) = -2*n**3 - 5*n**2 + 4*n - 4. Let r(p) = -g(p) - 3*j(p). Let m = 55 - 39. Suppose -4*l + h + 2*h = -m, -h = 0. Calculate r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of -l**3\/3 + 2*l - 2. Let s = -64 - -64. Suppose s = 355*m - 351*m - 16. Give r(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 4304?\nAnswer: -4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 837, -130, 1 in descending order.\nAnswer: 837, 1, -1, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + (10\/(-55) - (-4)\/22). Solve 0 = -p*h + 6*h, -x + 2*h + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*v + 7. Let a(y) = -y**2 - 10*y - 7. Let k be a(-9). Let i = 4 + -9. Sort v, k, i in ascending order.\nAnswer: i, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b = 3*b - 200. Let o be (-20)\/b - 16\/(-10). Solve 5*f + 45 = 4*k, -4*f - o*k = k + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-150)\/(-8)*(-10896)\/(-4540).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of -c**7\/210 - c**6\/15 - 7*c**5\/20 - 3*c**4\/4 - 409*c**2 - 3. Solve z(p) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*w + 2*w - 7*w)*(-59*w**2 + 121*w**2 + 49*w**2).\nAnswer: -2331*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -133, 4, 14 in decreasing order.\nAnswer: 14, 4, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -107*c**3*q**5 - 27*c**3 - 4*c**2 - 3*c*q**2 + q wrt q.\nAnswer: -2140*c**3*q**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 15446069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95 + 33 = 16*o - 46 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -47.9, -1\/8, 3\/7, 19\/5 in descending order.\nAnswer: 19\/5, 3\/7, 0.3, -1\/8, -47.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 7  (b) -3\/4  (c) -8  (d) -2\/13  (e) 22  (f) -0.1  (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 262144 = 2*v, -l + 2*v - 1587 = -88967. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 2*j - 3*j**3 - 13*j**2 + 4*j**2 - 24*j**2 + 32*j**2 to q*j**2 + s*j**3 + p*j + z and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 13 = -3*w, -3*w - 8 = -3*p - 5*w. Suppose 0 = -p*o - 10 + 14. Let b(f) = 0*f**3 + 4 - 5 + f**3 - f. Calculate b(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1204, 5684, 13444, 24484, 38804, 56404?\nAnswer: 77284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (14 - (-2 - -1)) + (-2608 - -2619)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -62955974, -125911948, -188867922?\n\"Answer: -62955974*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 3 + 1)*(-4*z + 11*z - 2 - 6*z)*(-14 - 31*z**2 + 0*z - 9*z + 32*z**2) in the form x + d*z + w*z**2 + j*z**3 and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.02, 679, -0.1, -0.9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of r**7\/840 - r**4\/12 + 18*r**2. Let o(i) be the second derivative of n(i). Let l(h) = 3*h**2. Calculate l(o(f)).\nAnswer: 27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8 - (-26 - 4\/(-4)))\/(5 - 4). Solve y*d - 989 + 938 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330018\/349 <= 947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -64 - -104. Let x be 10\/2*16\/q. Let p(v) = 12 + 2 + 3 - 16 + x*v - v**2. Determine p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) -0.2  (c) -0.238  (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1221)\/1332*(-16 - 324\/(-22))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 12, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*i + 5*x, -18*i + 6 = -16*i + x. Let f be (0 - -1)\/(1\/3). Find the second derivative of -24*o**i - 11*o - o + 11*o**f wrt o.\nAnswer: -78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/205)\/((-217)\/217)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5258921.787 rounded to the nearest 10000?\nAnswer: 5260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 + w - 37. Determine z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -r**4\/6 + 2*r**3\/3 - 2*r - 3. Let b(m) be the first derivative of f(m). What is the second derivative of b(z) wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1916502 = 8*q + 385898. What is q rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dpdppdddpopdddddp.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 2*u + 5*b = 10, -3*u = -b - 14. Suppose 13 = u*h - 3. Put h, 1, -6 in decreasing order.\nAnswer: h, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 + 13*t**2 - 9*t - 8. Let v be o(12). Suppose -v = -8*s + 6*s. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 182070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 54\/5 of a decade?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3256 is divided by 1080?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363) + sqrt(363) + sqrt(363) + 3 + sqrt(363) + 0 - (4 + sqrt(363) + sqrt(363) + -2))**2*-4.\nAnswer: -5812 - 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -24*o**2 + 8*o**2 + 8*o**2 + 11*o**2. Let p(x) be the first derivative of 5*x**2\/2 - 5. What is p(l(v))?\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 153738 divided by -3?\nAnswer: -51246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 4*f = -g + 16, 5*g - 5*f = -20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -296.14 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.1 - 0. Let g = q + 0.1. Let y = -596 + 596. Which is the closest to y?  (a) g  (b) 1\/5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l**2 - 23433*l - 273531726 = 0. Calculate l.\nAnswer: -6411, 14222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.0088 + -0.3958. Let x = p - -39.587. What is x rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-14))\/(3197\/46 + -70)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -3*z - 17. Let o be a(-7). Suppose -2*h + 2*q = -3*q - 53, -o*h + 76 = -4*q. Suppose -h*y + 150 = y. Solve -l - 2*b = 2*b + y, 0 = b + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -876*q - 99*q**4 - 871*q + 1746*q - 2*q**4 + 6*q**4 - 2*q**4 + (0 + 2*q**2 + 0)*(4*q**2 + 2*q**2 - 4*q**2).\nAnswer: -93*q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = s - 5*d + 65, -4*d - 56 = -3*s. Suppose g = 5*g - s. Suppose 3*j - 5 = -q, -1 + 10 = 2*q + g*j. Solve q*y - 4 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79279.02 nanoseconds in microseconds?\nAnswer: 79.27902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (-13 + -2 + 0 + 3) - -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -129.573 - -58.651. Let q = 71 + o. Round q to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ozqo when four letters picked without replacement from qpzpqzpooozooqzszp?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -3\/14, -0.21 in increasing order.\nAnswer: -3\/14, -0.21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 + 542*o + 2 + 11 - 551*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 8:34 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -121 + 164. Suppose 8*j - 3 + i = 0. Let r(h) be the first derivative of -h**3\/3 - 2*h**2 + 2*h - 9. Calculate r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -337*y**2 - 326*y**2 + 656*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 3*x - 5*x - 143, -3*i + 5*x = -424. Let b = i - 1. What is the highest common divisor of 60 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 47?  (a) 0.5  (b) -3  (c) 1  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/15?  (a) -72  (b) 2  (c) -0.08  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - 10 - (1 + 1 + (-5 - 7) + 15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -178\/9 - -20. Let p = 1 + -2. What is the closest to x in -5, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyi when three letters picked without replacement from mkkmiiiycyici.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 22566427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -475 and 0.01321.\nAnswer: -6.27475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 1 + 5. Suppose -d*h - 3 = -g + 2, g + 3 = -5*h. Which is smaller: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 248, 178, 98, 14, -68, -142?\n\"Answer: w**3 - 11*w**2 - 44*w + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 + -0.1. Let h = 0.58 - 0.18. Put t, h, 0.3 in increasing order.\nAnswer: t, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -15*v**3 - 41*v**2 - 16*v + 130. Let x be w(-31). What is x rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d + 31. Let p(s) = 3*s - 32. Determine -5*c(m) - 4*p(m).\nAnswer: -2*m - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -5*q + 31. Solve 3*s = -5*p + 12, -5*p + q*s + 20 = 3*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/69 and 73\/2763042.\nAnswer: 63549966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/2 - 3)*0. Let d(g) = 7*g - 4*g + f*g + 4*g. Let u(b) = 2*b**2. Give u(d(l)).\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g - 3. Suppose -11 = -n + 1. Suppose n - 39 = 3*a. Is 6 a factor of l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 5, 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3\/22  (b) -0.1  (c) -0.4  (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of v**8\/1260 - v**6\/270 - 8*v**3\/3 + 45. Let o(t) be the third derivative of a(t). Factor o(k).\nAnswer: 4*k**2*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250753 at most 250717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 33*y**2 + 4*y. Let t be l(-4). Let p = t + -394. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 3*o**2 - o + 8. Let y be p(6). Let j be y\/25 + 2\/(-5). Let i = 4 + j. Calculate the highest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1030 divided by 11918?\nAnswer: -515\/5959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**2 + s + 3. Suppose 403 = -134*d - 267. Let o(r) = -3*r**2 - r - 7. Determine d*h(b) - 2*o(b).\nAnswer: -4*b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 5058*a - 71040. Calculate w(-14).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) -0.003  (c) 3  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 22\/(4 + 7\/(-2)). Suppose 0 = -5*i - 5*f + 141 + b, 0 = -5*i - 3*f + 181. Suppose -25 = -p + i. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 114 - 30 + 0*j**3 - 73 + j**3.\nAnswer: j**3 - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22514 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 1)*(4 + 6 - 2)*(1 - 2 - 1)*(-3*v - 58 + 58) to h*v + p and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -159, -318, -479, -642?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133247131?\nAnswer: 133247131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 76771*q - 38383*q - 38390*q + 3.\nAnswer: -2*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4136?  (a) 2\/31  (b) 3  (c) 4  (d) -6  (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 19*a**2 + 5*a - 23. Let c(g) = -12*g**2 - 3*g + 15. Calculate 8*c(l) + 5*k(l).\nAnswer: -l**2 + l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 n when three letters picked without replacement from {g: 1, n: 2, s: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 PM and 1:18 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 0.5, -66, -1\/6, -0.2, 1 in descending order.\nAnswer: 1, 0.5, -1\/6, -0.2, -6, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 684919.47 to the nearest one thousand.\nAnswer: 685000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 70270 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*y**2 - 3*y**2 + 17*y**2)*(-5 + 4 + 2)*(25 - 25 + 14*y) to b*y + t*y**2 + s*y**3 + p and give s.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 9 - (-3 - -58 - (-26 - (-5 - 10)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -668738164375279\/15273664652 + -3\/120265076. Let y = -43784 - m. Let t = -14407\/762 + y. What is the common denominator of t and -61\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v + 2. Let y be u(8). Is (y\/(-7))\/(2\/42) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q**3 - 2*q**3 - 3*q**3)*(5 - 3 - 5) + 2*q**3 + 2*q**2 - 2*q**2 + (q**2 - 5*q**2 + 5*q**2)*(2 - 2 - q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -705943.6 rounded to the nearest ten thousand?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1029149 + 1029147. Suppose 0 = 3*c - 4*y - 34, 4*c + 6*y - 35 = y. Let j be (1\/(-2))\/(c\/4). What is the second biggest value in 3, l, j, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - ((-1 - -11) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10869*s**2*y**5 - 41*s**2*y**2 + 2*s**2*y - 119*s**2 - 15*y**6 + 14*y**2 wrt y?\nAnswer: 652140*s**2*y**2 - 1800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.058873  (b) -1  (c) -0.05  (d) 3  (e) 5  (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -4*u, -4*b - 3*u = -2*b + 7. Suppose -8*r + b + 20 = 0. Suppose 9 = o - 4*a - 4, -31 = -5*o + 3*a. Solve o*n = r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 3 - -2) + 0 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14133235 (base 8) to base 10.\nAnswer: -3192477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 93, 163, 255, 375, 529?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.54 - 35.86. Let z = 23 - 61. Let a = i - z. What is the biggest value in -1, -4, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -17\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 7*o**2 - o + 9. Let v be c(7). Suppose 82 = 4*x + v*a, a + 50 = 4*x - 23. What is the remainder when 75 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/95041674 and 23\/35919.\nAnswer: 95041674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 279.9 and -543.6.\nAnswer: -152153.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 146115, 584522, 1315235, 2338254, 3653579, 5261210?\nAnswer: 7161147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23955 - -24116. Solve a*f = 167*f - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2665381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -15647 minus 8683?\nAnswer: -24330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**3\/3 + 37880*f**2 - 227296*f\/3 = 0. What is f?\nAnswer: -28412, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 178*t + 2421. What is the thousands digit of v(23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -2, 1, -6 in descending order.\nAnswer: 5, 4, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 + 13*j - 25. Let g be z(11). List the prime factors of -2*(g + 4) - (-355 + -3).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31.3 times -0.259\nAnswer: -8.1067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/732 and -41\/9.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(567) + 2 - (-3*(1 + sqrt(567)) - sqrt(567))) + (-4 + 2*sqrt(567) - (0 + sqrt(567) + -2)))**2.\nAnswer: 864*sqrt(7) + 20476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/169  (b) -3\/4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 3*m - 6. Suppose 0 = -4*k + 16, 3*k - 127 = -2*u - 3*u. Let h(n) = n**2 + 17*n**2 + 24 + 39*n - u*n**3 + 22*n**3. Let s be h(20). What is v(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-6))\/((84\/(-90))\/(-7)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(833) - (3 + sqrt(833)*-1) - sqrt(833)) + -3*(sqrt(833) + -3) - (2 + -4 + 3 + sqrt(833))*3)**2.\nAnswer: -210*sqrt(17) + 20834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000200924441 to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 117 divide 13797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -3*f - 52, 0*f = 5*r - 4*f + 24. Let t = r - -20. Calculate the remainder when 22 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 + 85. Let m = l - 72. Let v(h) = h**2 + 28*h + 140. Calculate the remainder when m is divided by v(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1956564, -1956562, -1956560, -1956558, -1956556?\n\"Answer: 2*z - 1956566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/74 in -1\/59, -1, -1\/11, 838, -1\/2?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30 + -28. Let r be 7\/y*(1 - (-26)\/14). Let z = r - -20. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 53452 and 12.2.\nAnswer: 652114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2727456492?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 14513.83ml?\nAnswer: 14.51383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 71735 divided by -5\nAnswer: -14347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 2022110202?\nAnswer: 2022110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3234)\/168*4\/44.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 855 is divided by 586.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5480872463?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10127911 to the nearest integer?\nAnswer: 3182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*x - 0*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000703048098 rounded to six decimal places?\nAnswer: 0.000703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101110101 + -111010011?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**5\/17 - 320*q**4\/17 - 5116*q**3\/17 + 74600*q**2\/17 + 899118*q\/17 - 8187480\/17 = 0 for q.\nAnswer: -140, -19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -293*m - 59*m + 712800. Factor -m + 405*b - 27*b**2 + 3\/5*b**3.\nAnswer: 3*(b - 15)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102878716?\nAnswer: 2, 71, 151, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of 96*i**2 + 8*i**3 + 1\/4*i**4 + 0 - 19*i. Factor w(p).\nAnswer: 3*(p + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqdqddqddqqdd. What is prob of sequence dqdd?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 3*h = 103, -a + 74 = 2*a - h. Solve 8*s - 3*s = b - 20, 0 = 5*s + a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2 - 3096*p - 1198152.\nAnswer: -2*(p + 774)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-3))\/(14\/(-12)). Let r = 13.1 + -9.1. Which is the second smallest value?  (a) j  (b) r  (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -6 - (17 + -22)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2439306832 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {x: 4, d: 1, l: 2, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (16875173*f + 772*f**2 - 16875173*f)*(2 - 2 + f) as v*f + l*f**3 + k*f**2 + d and give l.\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -0.008, 1, 0.52, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1808 and 2128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.09054 - -0.14764. Round i to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.228893384 to 3 decimal places.\nAnswer: -2.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -0*j - 5*j. Suppose 0 = 1218*d - 1217*d + 531. Let u = d - -533. Sort u, j, -1, 1 in descending order.\nAnswer: u, 1, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -32*k + 5. Let i(t) = -14*t + 2. Let o = -232 - -236. Let p(u) = o*a(u) - 9*i(u). Calculate p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005 times 21?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 PM and 7:45 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/555 and -36\/11.\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 7*f**2 - f + 7. Let p be o(7). Suppose 3*n + p*n = 0. Let m be n + -2 - -3 - -3. Let l(g) = -g**3 + 4*g**2 - 4. Determine l(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**0\/(m\/(m*m*m*m*m\/m**(-1\/17)*m*m)*m) assuming m is positive.\nAnswer: m**(86\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9298.\nAnswer: 2, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*n + 2 + 0 - 2*n + 4*n.\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 4*p - 2. Let v(k) = k**2 - 5*k + 1. Let w(t) = 4*g(t) + 3*v(t). Let o(j) = -13*j**2 - 5*j + 21. Determine -2*o(a) - 9*w(a).\nAnswer: -a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -168 - -701. Let s = 467 + j. Does 102 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from epeeeuuuupee. Give prob of sequence ep.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 6*j - 25. Calculate x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8 - -9)*(20 + 0). Suppose -4*y - y = -d. Solve 0 = 2*a - y*x, -3*a - x = -7 - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooororoyrroyoryoror. What is prob of sequence oyoo?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -15*p - 18. Solve -2*b + p = 5*n + 15, 2*b - 3*n - 11 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*i + 1086*i = 1988 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4945312 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -521 + 537. What is the biggest value in x, -20, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 894, 4581, 8268, 11955, 15642, 19329?\nAnswer: 23016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -68\/91 + 6\/13. Sort a, 4\/3, -59 in descending order.\nAnswer: 4\/3, a, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 3:20 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -816*a - 9972 - 1211 - 2593 = -980*a for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*h**2 - 30568935*h + 30568935*h.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 + 16*s + 66. Let v be b(-11). Let p = 14 - v. Let f(r) = 2*r**3 - 3*r**2 - r - 1. Calculate f(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163805 is divided by 53473.\nAnswer: 3386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1623fa (base 16) to base 10\nAnswer: 1451002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23098973 divided by 3.\nAnswer: 23098973\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 83174 - 83174.45467. Let b = -0.46 - u. Round b to 4 dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v - 3. Let b be w(-2). Let k be -1 + (-2 + 0)\/b. Let q(u) = 3*u**2 - 184*u - 9211. Let f be q(94). Sort k, f, 8 in increasing order.\nAnswer: k, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.21 - 0.98. Let i = 11893 + -11878.47. Let v = c - i. Round v to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dcgcrskdgdsd. Give prob of picking 1 c and 1 g.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 13 = -12*l + 4*v, 0 = 5*v - 25. Which is the biggest value?  (a) 2  (b) 1\/103  (c) l  (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**3 - 42*j**2 + 180*j - 216.\nAnswer: 3*(j - 6)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*o + 94 - 94)*(8 - 3 + 1).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**2 - 7. Suppose 0 = -0*f + f - 6. Let l = -6 + f. Calculate w(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 5\/16  (b) 0  (c) -2\/19  (d) 0.95  (e) 2\/7  (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42964508.\nAnswer: 2, 17, 59, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22.2 - -18.2. What is the nearest to -0.1 in 1\/3, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13*(-2502)\/2106 + 15.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1111001000001001101 (base 2) in base 3?\nAnswer: -221011222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00029468441 rounded to 6 decimal places?\nAnswer: 0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 251 and 2?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ioi when three letters picked without replacement from civiiocscks.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + (1 - 5) + 7 + 0 + -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-550)\/15)\/((-616)\/252*3\/(-11))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*y**4 - 26*y**3 + 58830*y**2 - 3087*y + 8462 wrt y?\nAnswer: 48*y**2 - 156*y + 117660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1898 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4540 - -4540.0005402. What is u rounded to 5 dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 43 + 11 = 0. Suppose -3*v + 3*m = -q, 0 = 2*v - m - 3*m - 10. Suppose 0 = d - 5*d + 12. Solve g - v = -d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 73, 31, -2 in ascending order.\nAnswer: -2, 31, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12183483?\nAnswer: 3, 13, 312397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2\/30*5*(-15)\/10\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 113\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 + 0*m**3 - m**3 + 14023*m - 14016*m - 2*m**2 to the form v*m**2 + s*m + t + n*m**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 3 + 5 - 6 - 2*o. Determine m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20212122000201 (base 3) to base 9.\nAnswer: -6778021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1354.195 - 1349. Let w = 0.255 + p. Let g = w + -49.85. Round g to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 11 = -13. Suppose m*a = a - 298. Is 4\/(48\/(-18))*a\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 0 - 4 = 4*l, 0 = 2*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217 is divided by 104.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*b**3 + 57*b**2\/2 + 201*b + 315\/2 = 0. What is b?\nAnswer: -21\/10, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (((297\/234)\/33)\/1)\/1\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11966756.\nAnswer: 2, 173, 17293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 6, i: 2, b: 10}. Give prob of sequence iifb.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**4\/12 + 10*r**3\/3 - 16*r**2 - 95*r. What is the units digit of o(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 + 9.2. Let k = d - 8.99999845. Round k to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {n: 3, z: 4, h: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, o: 4, e: 2}. Give prob of picking 1 e and 1 o.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12 in 5, -4, 47.7, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/((-4)\/(-2)) - 122. Let d = -603\/5 - t. Let m be 9\/(-594) + (-1)\/6. Which is the nearest to 0?  (a) d  (b) -1\/9  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 9*c + 28 = 0. Let h be c\/(-18) + 3*666\/243. Solve 2*l - 1 + h = -3*z, 0 = -3*l - z - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 5*v**2 + 21. Let t(b) = -b**2. What is q(t(f))?\nAnswer: 5*f**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 27*o**2 + 8*o**4 + 24*o**2 + 96353 - 96357 in the form z*o**4 + m*o**3 + q + l*o + u*o**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 21344.5 and 449409?\nAnswer: 428064.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6, 0.2, 5, 0.06?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 1:42 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/22*1265\/690?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1657*h**3 - 1670*h**3 + 3341*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 131922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*(sqrt(190) - (sqrt(190) + 2*sqrt(190) + sqrt(190))) - sqrt(190)) + sqrt(190))\/(sqrt(110)\/(sqrt(44)\/sqrt(4)))*4)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -n**3\/3 - 5*n**2\/2 - 2*n - 2. Let r(g) = g**3 - 2*g**2 - 4*g + 1. Let u be r(3). Let y be a(u). Solve -y = x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6959*o*r**3 + o*r + 3*r**2 - 167*r wrt r?\nAnswer: -41754*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 6*z = -z - 100, 5*z - 52 = -3*j. Let l(d) = d**3 + 9*d**2 + 6*d + 9. Let f be l(-8). Is j != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -54\/1805 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - -1. Suppose y = 2*r + 12 - 54. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 26*b**2 + 9*b + 7. Let h(i) = 26*i**2 + 9*i + 6. Let o(f) = -7*h(f) + 6*s(f). Find the second derivative of o(t) wrt t.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u - 2*u - 3*u)*(15*u + 11*u + 11 - 28*u).\nAnswer: 6*u**2 - 33*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwkwwkkwkwkk. What is prob of picking 1 w and 2 k?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/381 and -17*516\/(-4080) + 1\/(-4)?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*b**3 + 18*b**3 - 10*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 34\/9 - 10\/(-45). Suppose -m*u = -u - 21. Let w(a) = -u*a**2 - 1 - 5*a + 8*a**2 + a. Determine w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -19e9 + 18?\nAnswer: -19d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/9))**(1\/6)\/(a*a\/a**17*a**(-2\/29)) assuming a is positive.\nAnswer: a**(11828\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1097960598*n - 1076784322 wrt n?\nAnswer: -1097960598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwlwwlllqldll. What is prob of picking 4 l?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11114489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 27311*v - 15901 wrt v.\nAnswer: 27311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 167332361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 5*v**2 - 2 + (0*v + 0*v + v)*(3*v + 3*v - 5*v) + 260*v**2 - 301*v**2 + 1484*v**2 to g*v**2 + u*v + f and give g.\nAnswer: 1439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 533888 divided by 128\nAnswer: 4171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**2\/2 - 2066611*f - 12399675\/2 = 0. What is f?\nAnswer: -3, 4133225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 184 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2687 + -2686.99997925. Round i to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1172388 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3 + 158*o**2 + 840*o.\nAnswer: -2*o*(o - 84)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -44 - -53. What is the hundreds digit of (-1)\/b + 16290\/81?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 296167 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*h + 18*h - 30 = 0. Let w(x) = x - 1. Let f(l) be the third derivative of -l**4\/6 + 5*l**3\/6 + 6*l**2. Let t(c) = h*f(c) + 26*w(c). What is t(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q + 5. Let b be o(-7). Let f(v) = -v + 16. Let z(c) = -c + 17. Let t(d) = b*z(d) + 3*f(d). Is t(10) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmuvumvmumvvm. Give prob of picking 3 m and 1 v.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 5:07 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 - 38*a**2 - 211*a - 1599. Calculate w(-32).\nAnswer: -991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -59828.5 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g = 8*g - 400. Calculate the common denominator of (-660)\/g - (1 + 0) and 47\/23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.13446 + 0.13457598. Round u to 6 decimal places.\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -70 + 76. Suppose 3*n = x*n - 1065. What are the prime factors of n?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 474707, 948080, 1421453, 1894826, 2368199, 2841572?\n\"Answer: 473373*v + 1334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 122164053 divided by -2.\nAnswer: -122164053\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 315*m**3 - 6600*m**2 + 52005*m - 80005. Let i(u) = u**4 - 314*u**3 + 6600*u**2 - 52004*u + 80004. Let n(c) = -4*h(c) - 5*i(c). Factor n(t).\nAnswer: -5*(t - 20)**3*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 288*c + 7. Let d(k) = 303*k + 7. What is -4*d(g) + 3*l(g)?\nAnswer: -348*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12957 - -12984. Calculate the remainder when 1564 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 + 11*q**2 - 3*q - 7. Suppose k - 3*w - 4 = 0, 0*w = 2*w. Calculate the remainder when (k + -3)*(104 - 1) is divided by d(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 266\/8 - (-5)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of -n**9\/252 + 7*n**5\/60 - 3*n**2 - 6. Let s(z) be the second derivative of k(z). Find the third derivative of s(i) wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - 2*g + 40. What is the remainder when d(0) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5 - (1 + -1)) + -2. Let d be 1\/2*-1*-6. What is the third derivative of r*v**d + 8*v**3 + 5*v**2 + v**3 - 2*v**3 wrt v?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 99 + 795 = 0. Let v = d + 307. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3952565 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 - 7. Suppose 11*k - 6*k + r*x = 18, -3*k - 2*x + 10 = 0. Suppose -3*f - 12 = 3*t, -379*f + 383*f - 5 = -t. Solve -k*u + 3*b = b, -b = f*u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*(4\/10)\/((-78)\/(-9945)*-17)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 4*i**2 + 7*i - 1. Let y(j) = j**3 - 5*j**2 + j. Let d be y(5). Let t be p(d). Solve 5*n = h + t, -n - 2*h = 7 - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (((-36)\/15)\/6)\/(2\/370). Let t be (y\/14)\/(-1) + (-14)\/49. Solve 0 = -3*p + 2*p - t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/1)\/((112\/(-32))\/(10 - 24))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 16\/(-11 + 7) - -15. Let n(d) = d**3 - 13*d**2 + 28*d - 29. Let r be n(g). What is the highest common divisor of r and 1147?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -3*d + 45. Calculate x(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178761831.\nAnswer: 3, 83, 717919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o - 40. Give f(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 2*b**2 - 43*b - 23. Determine o(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.01 and 6510137.\nAnswer: -65101.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -67\/3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + (0 - -10) + (-138 - -138).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 6, 0.5, 4\/9, 0.4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 21*j*u - 2993*j + 166*u + 74 wrt j?\nAnswer: 21*u - 2993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 12 = 3*z, 482*s - z = 485*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -81 + 80. What is the fourth smallest value in 3, 0.5, -2\/53, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2032535, -4065065, -6097595?\nAnswer: -8130125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 - 48 = -15*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-6*(-2 + sqrt(11)) - sqrt(11))*3)**2 - ((-1*1*sqrt(66) + sqrt(66) + sqrt(66))\/(sqrt(6) - sqrt(60)\/sqrt(160)))**2.\nAnswer: -1512*sqrt(11) + 55156\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21674 + 3875 = -5*d - 4*r, -2*d - r - 10219 = 0. Is -5109 not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 1 = -15. Let h(y) be the third derivative of -y**5\/120 - y**4\/6 + 79*y**3\/6 - y**2 - 12*y. Let c(a) be the first derivative of h(a). What is c(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/5)\/((3\/5)\/(-3)). Suppose 0 = -2*a - g*n + 16, 0 = 4*n - 0*n - 4. Solve -a = 2*p - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**5 + 40*k**4 - 280*k**2 - 380*k - 144.\nAnswer: -4*(k - 9)*(k - 4)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -6*j. Let o(s) = 4*s - 2*s - s. Give -20*o(m) - 2*q(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand v + v - 3*v - 1 + (0 + 0 - 1)*(v - 1 + 1).\nAnswer: -2*v - 1","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: Expand (-51 - 55 + 5*n + 112)*(-3 - 1 + 0) - 2*n + 0 + 0.\nAnswer: -22*n - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 14312 (base 5) to base 3\nAnswer: 1122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the second derivative of -205*y**3\/6 + 30*y**2 + 24*y. Let q be w(-18). Let l be (-17120)\/(3*4\/q). Round l to the nearest 100000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 + 3 = j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k + 1. Let f(w) be the second derivative of 2*w**3\/3 + w**2\/2 + 8*w. Let g(q) = q**3 + 5*q**2 - 3. Let u be g(-5). Calculate u*l(c) + f(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 0 - 276\/36 - ((-338)\/39 - -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 4. Let r be (2\/(-6))\/((-1)\/n). What are the prime factors of 0 - ((-7)\/1 - r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/79380 and -143\/60.\nAnswer: 79380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -y + 20. Suppose 19 - 4 = 5*j. Suppose -j*m - 98 = -y*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b - 32. Let h be i(13). Let a be 147\/105 + (-1)\/(10\/h). What is the biggest value in -2\/21, a, 3\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**5 + 36*w**4 + 24*w**3 - 114*w**2 - 171*w - 66.\nAnswer: 3*(w - 2)*(w + 1)**3*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (147\/6)\/((-1)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + s + 26 + 22, 2*p - 3*s = -96. Let l = -37 - p. Let y be 2\/(-5) + 171\/15. Calculate the highest common divisor of l and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 1. Let x = 4.8607996 - 5.86079953. Let a = x + s. Round a to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -248\nAnswer: -3\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -4*g - 9 + 250, 5*g + 4*b = 301. Let n = 61 - g. Find j such that -4\/3*j**3 + n*j + 10\/3*j**4 + 0*j**2 + 0 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*b + 10*b**3 - 11*b**3 + 1 + 0*b**3 - 4*b - b**4 in the form r*b + a*b**4 + v*b**2 + o + n*b**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l**2 - l**2 + 7*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 + 31878?\nAnswer: 31883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 3*f + f + 20 = 3*f - 2*f, 8*g - 145 = 19*f for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + t - 1. Let d(y) = 8*y**3 - 4*y - 1. Calculate -d(r) - 6*f(r).\nAnswer: -2*r**3 - 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - j + 3*j)*(-5*j**2 + 11 - 2*j - 11)*(0*j + 2*j + 0*j)*(35 - 15 - 19).\nAnswer: -40*j**4 - 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1592, -412, -2416?\n\"Answer: -2004*w + 3596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 10, 105\/13, 0.04, 0, -2\/17?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.752629l to millilitres.\nAnswer: 6752.629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -457*k = -453*k - 4*a, -3*a - 2 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -325*s**2 - 11*s - 17*s + 28*s.\nAnswer: -325*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 + j + 6. Let p be l(0). Let i = -3 - p. What is the common denominator of 117\/20 and i\/6*(-177)\/(-36)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2432883759?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 55, -5, 120, 0 in ascending order.\nAnswer: -5, 0, 55, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 12*b - c, -2*b + 119 = -c + 135 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -18324*k + 1172735. Give l(64).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 239, 928, 2083, 3710, 5815?\nAnswer: 8404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {o: 4, p: 1, j: 2, t: 1, i: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + v + 33 = 0. Let i(f) = 8*f + 18. Let b be i(v). Let x be (1 - b\/(-15))*-3. Solve 3*u - 11 = 4*n, 5*n + 14 = -x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2266935 is divided by 597?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 3*p - 5*p + 141, -p + l = -66. Suppose f = 2*h + p, -3*h = -4 - 5. Calculate the remainder when f is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-36)\/(-8) + 3*25\/(-15). Sort t, -0.2, 125 in decreasing order.\nAnswer: 125, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8304*n + 6272*n - 6336*n + 34402 = -8961*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/(-16) - 12\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**4 - 120*h**3 - 105*h**2 + 8330*h.\nAnswer: -5*h*(h - 7)*(h + 14)*(h + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 17*v**2 - 4*v + 3. Let s(i) = i**2 - 16*i + 49. Let h be s(14). Suppose 11*r = h + 23. Is n(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 436219519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let b = -728345 - -728374.81928. Let j = 29.8 - b. What is j rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2. Let v(s) = 7*s**2 + 20*s - 5. Let h(m) = -7*m**2 - 16*m + 4. Let j(p) = 5*h(p) + 4*v(p). Calculate i(j(n)).\nAnswer: -49*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, -16, 644, -7, 0 in increasing order.\nAnswer: -16, -7, -3, 0, 1, 644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -q, 2*m - 24 = -2*q. Suppose -m = 2*j + 2*j. Let d be (-1)\/(-1 - j - 3). Solve 0 = -5*r + d + 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4196 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-5 + (-15)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2800 + 2805. Let y(h) be the first derivative of -5\/4*h**2 + a + 1\/2*h - h**3. Factor y(x).\nAnswer: -(x + 1)*(6*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 e when three letters picked without replacement from {e: 5, y: 1, p: 3, k: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56734, -113445, -170158, -226873, -283590, -340309, -397030?\nAnswer: -453753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4043129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12234*j - c = 12235*j + 1, -c = 4*j + 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-128)\/(-40) - 3 - 10\/(-25).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.016525 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -3*a - 2651 + 2664, -5*a = -3*r - 27. Let b be (0 + 36)*(-9)\/(-12). Let u be 4\/(-18) - (-114)\/b. Solve 2 = 3*v - u*k, v - 7 = -v - a*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nxe when three letters picked without replacement from knknxgef?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -4*k - 23, k + b = 6*k + 22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 1  (c) 4  (d) 954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -98*r**2. Let u(x) = -29*x**2 + 69*x**2 - 63*x + 63*x. What is m(u(t))?\nAnswer: -156800*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22271, -88633, -199245, -354113, -553243?\nAnswer: -796641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 71 + -68. Let c(f) be the third derivative of 0*f + 1\/735*f**7 + 0*f**4 + 0*f**y + 0 + 1\/210*f**5 + 1\/210*f**6 - f**2. Factor c(v).\nAnswer: 2*v**2*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 152\/(-19)*(-5)\/4. Let u(m) be the second derivative of 5*m**2 + 0 - 1\/6*m**3 + 21*m. Calculate u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-3)\/((-9)\/3))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 5  (b) -0.19  (c) 4\/3  (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + g + 0*g - 2 + (-3*g + 2*g + 5*g)*(5 - 3 - 1).\nAnswer: 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t*t\/(t*t**(-8))*t*t)*t*t\/t**(-3)*t)**34 assuming t is positive.\nAnswer: t**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72, 143, 202, 243, 260, 247, 198, 107?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 2 - -3 - (-14 + 16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -2*w**3 + 480*w**2 - 23602*w - 130260 = 0?\nAnswer: -5, 78, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 5*z - 1365, 2*z - 3*g = -66 + 591. What is the highest common divisor of 110 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1672410658\/7 or -238915809?\nAnswer: -238915809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 27\/(-3) + 1 - 0. Let d = q - -10. Is (-4 + d)*1437\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7811 - 7807. Which is the fourth smallest value?  (a) -0.03  (b) -3\/5  (c) m  (d) -1\/6  (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of 0*x + 0*x**5 + 11\/12*x**6 + 0*x**4 + 111*x**2 + 0 - 79\/6*x**3. What is the first derivative of a(b) wrt b?\nAnswer: 330*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 7*b**2 - 1. Let q be m(1). Let n be -1 - -3 - (q - 3). Let g be ((-3)\/6)\/((-1)\/(-6)). Sort n, g, 3.\nAnswer: g, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.074 + -3.926. Let j = 6 - 6. Let d = 0.4 - j. Which is the closest to -1\/2?  (a) q  (b) d  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 7.3. Let l = 0.7 - s. What is the third biggest value in 0.5, l, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3*a**2 + 18. Let i(w) = -108*w - 77. Determine i(c(f)).\nAnswer: -324*f**2 - 2021","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 3. Suppose -5*w + 0*v + 3*v = -281, 4*v - 244 = -4*w. Suppose u = -2*y - w + 170. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -641*s**3 - 621*s**3 + 726*s**3 + (-3*s + 3*s + 4*s**2)*(-1 + 1 + 4*s) as a + g*s**3 + m*s**2 + w*s and give g.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (4*sqrt(18)\/sqrt(6))**2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*p**2 - 17*p + 157*p + 44*p**2 - 23*p**2 as y + q*p + k*p**2 and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 46153.8891608 + -0.4291608. Let t = 46153.72499738 - j. Let h = 0.265 - t. What is h rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 - 10*g**2 - 11*g - 6. Let k be s(12). Suppose 16 = 5*u - 9, -5*c - u = -k. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1509746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -102\/13 + 766\/91. Calculate the common denominator of 29\/9 and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -428 in -4, 1\/17, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + 12*l - 3. Let o be j(-12). Let z be 147\/5 + o\/(-5). Calculate the highest common divisor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l, 4*m - 3*l + 2*l - 6180 = 0. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27568361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, y: 1, l: 8, a: 2}. Give prob of picking 1 h and 1 l.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-r + 2*r - 2*r)*(-2 + 18 - 7) + (-3*r + r + 5*r)*(-79 + 64 + 70) in the form x + s*r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/2, -3, 5, 5115727?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-5))\/(1140\/150 - 6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2  (b) -0.46  (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3225, 9, 1 in decreasing order.\nAnswer: 3225, 9, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxcxxxxxxcxccxxccxc. What is prob of picking 3 c?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 433 = -3*n - n, -3*n + 315 = -4*d. Let i = n + 47. Let m be (-1)\/3 - 0 - i\/18. Which is the second smallest value?  (a) -4  (b) m  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -120125.088 to the nearest one hundred.\nAnswer: -120100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 3, 1\/5, -145\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 + 2)\/(2\/(-12)). Suppose 0 = -12210*t + 12264*t - 162. Put g, t, -3, -1 in increasing order.\nAnswer: g, -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-10) - 1)\/(2\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40080251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of 3\/17*f**2 + 112\/85*f**5 + 16\/51*f**6 + 12 - 40\/51*f**3 + 0*f + 1\/2*f**4. Solve t(h) = 0.\nAnswer: -3, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/a**(2\/17)*a)\/(a**(-3\/5)\/a))**35\/((a\/(((a**(-6)\/a)\/a)\/a))\/(a\/(a*a**(1\/2))))**26 assuming a is positive.\nAnswer: a**(-1974\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of u**2 - 7*u + 11. Let b be h(7). Solve -o + 0*o = 5*i - b, o + 5 = i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1539))*-2.\nAnswer: -18*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*s + 1. Let i(o) = -33*o**2 - 21*o - 21. Let b(a) = 8*a**2 + 5*a + 5. Calculate s*i(z) + 21*b(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 56.69 - 58. Let v = 1.61 + p. Let i = 0.02 + -0.02. Which is the second biggest value?  (a) i  (b) -31  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 153\/(-30) - (-4)\/40?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 3*z**2 + 5. Let l(n) = 2*n**2 + n + 4. Let o(q) = -4*l(q) + 3*r(q). Let y be o(7). Let s = -688 + 696. What is the highest common factor of s and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3*w = 25. Let j = 48 - 28. Let h be (-3)\/(-4)*j\/12. What is the third smallest value in w, 0, -0.11, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 10:50 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 34\/7  (b) -4\/3  (c) 0.89  (d) -89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t - 1. Let r be d(2). Suppose 3*o - 8 = r. Suppose -3*n + 4*b = -n - 10, o*n - 5 = b. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1042 + 68. What is the highest common factor of s and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 127*z**2 + 10*z + 16. What is the units digit of l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 396.94 - 392. Let q = l + 0.06. Let x = 18.98 - 19.98. Sort q, -0.3, x, -4.\nAnswer: -4, x, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 0.4  (b) 0.23  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -16358, -38265, -60172, -82079?\n\"Answer: -21907*o + 5549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 78 = 5*x, 190608*x - 190612*x + 72 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-1 - 25) + 8 - -5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 30.97 and 0.38?\nAnswer: 11.7686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 + 13*n**2 - 27*n + 89. Let o(u) = u**3 + 14*u**2 - 26*u + 89. Let r(c) = -6*a(c) + 7*o(c). What is the tens digit of r(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((j**(-1\/40)\/j)\/j)\/j*j**9)**(7\/3))**(-2\/71))**(-33) assuming j is positive.\nAnswer: j**(18403\/1420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t and 1 c when four letters picked without replacement from ttttcttctttcttt.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62382062?\nAnswer: 2, 277, 112603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*x - 13 - 35. Let r(v) = v**3 + 2*v**2 - 11*v + 22. Does 14 divide r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 3056*i**2. Let v(u) = -u + 872. Determine v(f(s)).\nAnswer: -3056*s**2 + 872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -525*o - 967. Let g be p(-2). Is g < -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7.7151 + -123400\nAnswer: -123407.7151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 6*w**4\/11 + 2*w**3\/11 - 78*w**2\/11 - 98*w\/11 - 24\/11 = 0.\nAnswer: -3, -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50, -167, -358, -629, -986, -1435?\nAnswer: -1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.69 + -1.19. What is the second smallest value in -2, d, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21832344971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 18 = 5*c, s = -3*c - s + 3. Suppose -2*f - c*u = -3*f + 58, -3*u = -4*f + 259. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20459 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -600.0131 times 0.5\nAnswer: -300.00655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-63)\/12 + (-3 - -6) and 31\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -723.9 + 723.900000832. What is k rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -76 - -107. Let x = 33 - f. Sort -1, x, -5.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 + 11. Let h be (2\/(-6))\/(6\/(-54)). Suppose -c + 48 = h*k + 2*c, 3*k + 2*c = 44. Solve k = u - j*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57984*s = -57989*s - 5*w - 5, -s - 5*w = 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1663, 6698, 15091, 26842?\nAnswer: 41951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 23*j - 517. Calculate u(23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49\/78 + 6\/13. Which is the nearest to -1\/3?  (a) k  (b) 0  (c) -1\/26  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -10. Suppose a*v + 0*v - 30 = 0. Let l be (4\/(-2))\/(-2) + v. Solve 0 = -5*k - l + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 9:23 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + 1 + (53 - 57)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 125*-9.4.\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 896 + -868. What is the remainder when (2 - 3\/2)*166 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 986560.8 weeks in minutes?\nAnswer: 9944532864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2239)\/(-2239))\/((-1)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/9 + (-10)\/(-45). Let v be 0 - (2 - (-526)\/(-180)). Let x = v + -7\/10. Which is the nearest to 0.1?  (a) r  (b) -1\/4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d - 3. Let a be 128\/(-480)*(-45)\/6. What is the remainder when (352\/11)\/(a\/3) is divided by y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16383134*i - 16383134*i + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 4*j - 4. Let w = 178 + -269. Let a be 1\/(-4) + w\/(-28). Give u(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 70 - (-23 + -46 + 61)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2926 and 1001.\nAnswer: 38038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/8 - 8\/(1120\/(-115)). What is the closest to -2\/9 in t, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g*x**2 - 4*g*x - 391428*g - 5732*x**3 wrt x.\nAnswer: -4*g*x - 4*g - 17196*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2 + 6*z + 12. What is the remainder when t(-6) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -x - 2862, 414*b = 413*b + 4*x + 2841. What is the lowest common multiple of 1 and b?\nAnswer: 2869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/4795 <= 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8574 + 8593. Calculate the remainder when 1168 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-8)*(-4 + 13\/((-273)\/(-98))). Let n = 10 - 10.4. What is the nearest to n in -2\/7, 5, 0.3, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 154624099?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hkkhhkkhkhkhkh. What is prob of picking 2 h?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-10) + (-17106)\/15. Let z = w - -782. Let q = z + 605. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(3) + -1 + 0.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 0*p + 2*p - 7 = 0, -4*p + 11 = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - 13*k - 7. Let a be n(-12). Suppose d + a - 3 = 0. What is the units digit of 6\/4 + (-51)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - 225288?\nAnswer: -225285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -126.311454\nAnswer: 12.6311454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 29471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.97 + -1.17. Sort -3, r, -1.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44353 divided by 1?\nAnswer: 44353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 24 = 3*p. Solve 0 = -2*z - 3*z + p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -26308 or -20209?\nAnswer: -20209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 70 = -3*l, 3*l - 2*i - 62 = -3*i. Let d = 12560 - 12474. Calculate the smallest common multiple of l and d.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5806, 5895, 5962, 5995, 5982, 5911, 5770?\n\"Answer: -2*n**3 + n**2 + 100*n + 5707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -3 + (-114)\/(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of n**3 - 43*n**2\/2 + 19*n - 211. What is the remainder when 112 is divided by l(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 412 = 7*c. Let u = -56 + c. Suppose 3*h - 91 = u. Calculate the remainder when 136 is divided by h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 120 = k, 14*f - k = 17*f + 126. Let p = -17 - f. Let u(g) = -g**3 + 9*g**2 - 2*g - 3. Calculate the remainder when u(4) is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0\/2)\/((17 + -12)\/(-5)). What is the closest to -2\/5 in 0.1, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 27*y**3 + 4*y**2 + 4*y + 41. Let w(v) = 26*v**3 + 3*v**2 + 3*v + 40. Let z = -34 - -30. Let m(p) = z*w(p) + 3*c(p). Differentiate m(j) wrt j.\nAnswer: -69*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -11233200?\nAnswer: 11233132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 6*b = -25. Suppose -h + 5 = -0*h. Suppose 2*z - 22 = -4*q, -h*q - 4*z + z = -28. Solve 5*s + 4*m = 10, -q = -5*s + m + b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -71465\/120336 - -263\/368. Find the common denominator of 3\/109 and m.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -92 in 0.02, 683, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**3 + 53*x**2\/2 + 73*x\/2 - 25 = 0.\nAnswer: -25, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 3*c = -4*c + 11, 2*d - 4*c = 6. Suppose -4*k + 1 - d = 0. What is the nearest to 0.1 in 5, k, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3133 - -5248. Is 47 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-2))\/((-23)\/(-92)) + 4. Is h <= -4\/685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002430271 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*u + 2*m - 2, 5*u - 1109*m = -1110*m - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 508  (c) -0.5  (d) 5  (e) -2\/9  (f) 1\/37\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (228\/60 + -4)\/(6\/(-20)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 + 49. Let l be 33\/4*h*16\/40. Factor 0*z + z - z**2 - l + 70 - 4*z.\nAnswer: -(z - 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -6*j - 7. Let t be q(-4). Let y = t - 17. Suppose h + y*p = -3*p + 22, 4*h + 5*p = 123. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2523*n**2\/5 - 522*n\/5 + 27\/5.\nAnswer: 3*(29*n - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -40281 divided by -6\nAnswer: 13427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lyh when three letters picked without replacement from {j: 1, s: 2, y: 2, m: 3, l: 4, h: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4047.684, -0.7, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + 7*w - 420. What is the remainder when w is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7357 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1222002021220001 - 21?\nAnswer: -1222002021220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3}. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 176569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002157 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/12 + (-163)\/(-3). Suppose -a - 5 = 0, -3*g - 2*g = -a + j. Let p = -5 - g. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 0*h = 100. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*h - 2 = 0, 4*h - 2 = -17*g + 14*g. Is g\/33 - (715512\/44)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/2046 and -37\/132?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171949443.\nAnswer: 3, 57316481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -603\/80 + 27\/80. What is the common denominator of r and -73\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -74*v**3 + 235082*v**2 - 193398389.\nAnswer: -222*v**2 + 470164*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -16*k**3 - 2*k**2 - 122*k - 120. Let z be m(-1). Solve -z*i = -0*i - 112 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53, 124, 217, 344, 517, 748, 1049, 1432?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*p = 108*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-18) - (-116)\/36. Let t be (36\/8)\/(p\/(-4)). Let w be (1\/12)\/(t\/16). Which is the smallest value?  (a) 0.2  (b) w  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 8 + (-3 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2 - 8*v - 13. Let p be i(9). Let y be (-10)\/(p - (-6)\/2). Solve -2*f - y = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*-2 - (7 + -6). Suppose 5*d - 117 + 92 = 0. Put b, 1, d in descending order.\nAnswer: d, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/148596630 and 43\/585.\nAnswer: 445789890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -2. Suppose m - 16 = -4*n, -4*m = 2*n + 3*n - 9. Suppose -p = -n*p + 16. Solve g*t = 2*t - p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and -39688450.\nAnswer: -39688450.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6462137*y**6 + y**2 - 8917651?\nAnswer: -775456440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*j**3 - 14*j**3 + 2*j**3 - 8*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2440000*m**2 + 7*m - 14. Let a be b(2). Round a to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2599*d - 2600*d - 17 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*u - 6. Let y = 691 + -687. Solve -y*j = -0*j + u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 5*g**2 - 11*g + 29. Let m be q(6). Let t(x) = 2*x**2 - x - 1. Let v(w) = 10*w**2 - 20*w - 26. Let r(p) = m*v(p) + 6*t(p). Factor r(s).\nAnswer: 2*(s + 2)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(8*y - 2 + 2).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1441, -1461, -1479, -1495, -1509, -1521?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2\/241 + 5535\/964. What is the fourth biggest value in l, 1\/4, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of 5 - 16\/3*u**2 + 128\/9*u + 8\/9*u**3 - 1\/18*u**4. Find g such that f(g) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 + -0.4. Let s = d - -0.2. Let r = 3.8001 - -0.1999. Put r, 0.1, s in increasing order.\nAnswer: s, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -78551, -157147, -235745, -314345, -392947?\n\"Answer: -v**2 - 78593*v + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**3 + 0*s**3 + s**3)*(s - 2 + 2) - 3*s - 9*s**4 + 3*s + (0*s**2 + 0*s**2 - s**3)*(-1 + 2*s + 1) + 4*s**4 + 0*s**4 - 3*s**4.\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 3*r - 8 = 0, 2*g + 45*r - 50*r - 22 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 261719, 261754, 261789, 261824, 261859?\n\"Answer: 35*v + 261684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 18*l + 2 + 6*l**2 - 2*l**2 + 6 - 2*l**2 - l**2. Determine a(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, 6, -3 in decreasing order.\nAnswer: 6, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.5*10084.\nAnswer: -35294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of l**7\/840 - l**6\/240 - l**4\/3 - l. Let h(j) be the third derivative of g(j). What is the second derivative of h(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*h**3 - 34*h**2.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 36123070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.471 + 867.471. Let x = 818.44 - l. Let v = x - -47. What is v rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36 - (6 + -38)) + (-1 + 2 - (-15 + 13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 9 - 1)*(-3*r + 0 + 0)*(-19*r + 5*r + 2*r**2 + 5*r) to the form y + k*r**2 + b*r**3 + n*r and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/3*m**4 + 1\/3*m**3 - 4\/3*m + 20\/3*m**2 + 0.\nAnswer: -m*(m - 2)*(m + 2)*(5*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 9) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.4488592 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 70.81 - 71.11. Sort -9, 0.1, 1, -3\/8, k in descending order.\nAnswer: 1, 0.1, k, -3\/8, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 + 2*r - 13. Let w(l) = -l**2 - 2*l + 13. What is -6*g(i) - 5*w(i)?\nAnswer: -i**2 - 2*i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 72\/42 - 4\/(-14) - 6. Let v(i) = i**2 + 4*i - 1. Calculate v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2*d**3 - 3*d**2 + 30*d + 27419. What is the thousands digit of v(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 73, 4, -40, 7, -4.\nAnswer: -40, -4, 4, 7, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 3  (b) 2  (c) 17\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*g + 0*g + 24*g)*(-50 - 37 + 9) as v + b*g and give b.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36198, 36197, 36196, 36195?\nAnswer: 36194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 52, 2, 77, -0.4, 5, 0 in ascending order.\nAnswer: -4, -0.4, 0, 2, 5, 52, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2071, 4035, 7315, 11917, 17847?\n\"Answer: o**3 + 652*o**2 + o + 1417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -187 - 57 + 20*l + 26*l + 201 as y + q*l and give y.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 436280 or 436273?\nAnswer: 436273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/((-5)\/(-6)))\/(255\/5100).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -5*d + 29. Let v(p) = -p + 6. Let r be (3\/(-3))\/(5\/(-5)) - -1. Let s(k) = r*y(k) - 11*v(k). What is the units digit of s(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 114*v**3 - v + 0*v**2 - 3*v**2 + 109*v**3 - 273*v**3 to the form b + f*v + q*v**2 + o*v**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 PM and 6:20 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*sqrt(125) + ((0 + sqrt(180))*3 - sqrt(180)) + (sqrt(15) + sqrt(960)*-2 - sqrt(15))\/(4*(sqrt(6)\/sqrt(2) + sqrt(3))))**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.022 plus 2?\nAnswer: 2.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 6*n - 14. What is p(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 2  (b) -1\/3  (c) -0.05  (d) 10  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 20\/(-2 - 4*-1). Let l(v) = 20 - i*v - 22*v - 21. Is 12 a factor of l(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 2.2. Let v = h - -1. Let o = -3.2 + v. Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3933*b - 4038*b - 4203*b + 4363*b.\nAnswer: -7811*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 50\/20*6\/(-10). Let g(q) be the third derivative of q**6\/120 + q**5\/10 - 7*q**4\/24 - q**3\/2 + 5*q**2. Let f be g(-7). Is p greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9924333?\nAnswer: 3, 647, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -9, -2, -296.6.\nAnswer: -296.6, -9, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 - -130416?\nAnswer: 130410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 262868 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 5*u. Let y(i) = -20*i. Let f(z) = -9*c(z) - 2*y(z). Let l(s) be the first derivative of -s**3\/3 + 26. Give l(f(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 2\/2209, 1\/4, 2.84 in increasing order.\nAnswer: 2\/2209, 0.2, 1\/4, 2.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 28 = -4*w, s + s + 4*w - 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 + 7*b + 11. Let i be f(8). Let r(x) = i*x - 2*x + x. Let w(p) = -3*p**2 + 16*p**2 - p**2. Give r(w(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 133034, 133036, 133038, 133040, 133042?\n\"Answer: 2*b + 133032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/369 or 1?\nAnswer: 5\/369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 45*s = 82. Let n be 10\/(-4)*(0 - (-18)\/(-60)). Which is the third smallest value?  (a) n  (b) 1.6  (c) -0.2  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 6, 62, 3\/2?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73129 is divided by 355?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*q - 0*j - 3*j, 0 = 3*q + 3*j - 21. Let y be (-8)\/6*q - (-17 - -10). Suppose -y*t + 21 - 9 = 0. Solve t*w = 12 + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 p when four letters picked without replacement from {p: 4, a: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 664987273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: 0 (base 13) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183\/3 + -2 + 5 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11739 divided by 125\nAnswer: -11739\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-6)*(14 + -5). Suppose -h*a + 2*a = -12. Solve -a*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20122*f - 37633 - 236975 = 134833 - 7001 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 2227*x**4\/2 + 24495*x**3\/2 - 15600*x**2 - 26710*x + 24 = 0?\nAnswer: -12, -1, 2\/2227, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 + -0.1. Let k = -0.2 - -1.1. Let o = -1.2 + k. Which is the biggest value?  (a) -2\/3  (b) o  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2198)\/22 + (-8)\/88. Calculate the least common multiple of 2\/(-3) + j\/(-6) and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 4:53 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppgpppgpggp. What is prob of sequence gppg?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11595*u**4 + 2*u**3 + 2275*u + 5 wrt u?\nAnswer: -139140*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 27*t**3 - 7*t**2 - 7*t. Suppose 17*j + 38 = -2*j. Let m(f) = -9*f**3 + 2*f**2 + 2*f. Determine j*b(g) - 7*m(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9103 is divided by 3011.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (16\/32)\/((-14)\/4). Let y = 5 + -9. Sort y, j, -2.\nAnswer: y, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66*(-33)\/297*6.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 7:40 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8024.3 + 8025. Which is smaller: w or 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -2385, -5, 7 in descending order.\nAnswer: 7, -2, -5, -2385","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 10570, 21284, 31904, 42430, 52862, 63200, 73444?\n\"Answer: -47*g**2 + 10855*g - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjjh when four letters picked without replacement from hyyyyjyhhhhhyyjjj.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17360 and 8680.\nAnswer: 17360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 38*z**2 + 49*z + 99. Give v(-2).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 170 - 170.00091. Round o to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g + g + 1, -4*a + 2*g = 18. Let l be a\/(-15) - (-28)\/6. Suppose z - l = -0*f + f, 0 = -3*z - 2*f. Solve 0 = -0*s + 2*s - z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2\/9 - 1984*l\/9 - 1328\/3.\nAnswer: 4*(l - 498)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + -11002222?\nAnswer: -11002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - 53313244?\nAnswer: -53313252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18?  (a) -0.4  (b) -3\/2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2010 + 3910. Let u be (-1)\/(-3)*1 + p\/240. Which is smaller: u or 27?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16279 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: In base 12, what is 2a + -5776542?\nAnswer: -5776514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2 + 38652*a - 124498092.\nAnswer: -3*(a - 6442)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (12 - (11 + -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 - (-8 + 9 + 3). Let n be s\/((3\/(-15))\/(3\/5)). Solve 5*o = 3*v - n, 4*o + 27 = 3*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 312?\nAnswer: -5\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 259768021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7245416764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 644894 is divided by 516.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 88*h - 172. Calculate the remainder when a(4) is divided by 71.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-35)*q)**39\/(q**(39\/4)*q**(-14\/5)) assuming q is positive.\nAnswer: q**(-25879\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) 4\/3  (b) -2\/7  (c) -0.02  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*b**3*r**3 - 3*b**3*r**2 - 2993*b**2*r**3 - 1507*b**2*r**2 + 2*r**2 wrt r.\nAnswer: 12*b**3 - 17958*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**2 + 2*p - 6. Let d be y(3). Suppose 0 = d*n - 8*n - 21. Let u = n - 19. Solve 2*r = c + 3*r + 3, u*c - 4*r + 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h + 4. Let r be k(0). Put -1, 1, r in increasing order.\nAnswer: -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*d + 55*d = -20. Let k = 1 - 1. Let n = k - 0. Solve n = d*z + 4*j - 19, z + 5*j - 4 = 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, p: 1, s: 2, h: 3}. Give prob of sequence hlh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24202 + -24199. Solve -i - 10 = -3*x, -4*x = 2*i + z - 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/23  (b) -5  (c) 87\/4  (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 65 + -45. Suppose -4*u + 4 = -4*q, 0*u = 4*q + 4*u - t. Let y(l) = 7 + q*l + 0*l + 3*l - 4*l. Calculate y(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 4*o = 66, 5*r - 7 - 134 = -4*o. Suppose s - r = -3*t, -2*s = -2*t - 0 + 6. What are the prime factors of 2\/t - 666\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1121834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**9*m*m\/m**32*m\/(m\/(m\/(m\/(m\/(m**(-29)\/m)))))*m\/m**(-2\/87) assuming m is positive.\nAnswer: m**(959\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 370 = 14*q - 176. Solve -14*n - q = 31 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 13 = 3*c, 0 = 5*b - c - 2 - 11. Let o = b + 2. Does 3 divide (o\/(-5))\/(1\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*u - 447 = 179, k - 305 = 4*u. Calculate the remainder when k is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) -71  (c) 0.1  (d) -0.06  (e) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -118202 greater than or equal to -110713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3*i + 9. Let p be g(6). Let b = 20 + p. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 - 8*p**2 - 10*p + 13. Let j be h(9). Factor -2*b + j*b - 4*b + 3*b**2 - b**3 + 0*b**2.\nAnswer: -b*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h + 2. Let b(r) = -17*r + 18. Let k(v) = 2*b(v) - 18*g(v). Let u(s) = 6*s + 30. Determine k(u(x)).\nAnswer: 12*x + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 2*g = 2, 0 = -2*r + g + 3 - 11. Let h(b) = -3*b**2 - 2*b - 14. Let z(c) = c**2 + c + 5. Let v(w) = 2*h(w) + 7*z(w). Calculate v(r).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 12 - (119 - 112)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 12 + 3 = 5*c + 3, -2*c = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 1 - 6*d + 12*d - 7*d. Suppose -3*k = 2*s - 0*s - 21, -3 = -k. Let b(t) = 12*t + 5. Let i(g) = s*c(g) - b(g). Give i(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4354 divided by 1\nAnswer: -4354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*c**2 - 5*c**2 - 3*c**2)*((-c + 2 - 2)*(0*c + 2*c - c) - 479153 + 379*c**2 + 479153) to the form p*c**3 + l*c**2 + o*c**4 + q + z*c and give o.\nAnswer: -4914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 3 = -5*s, -4*s - 2 = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 70906861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1393699 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-2)*2 + -3 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(39)\/(sqrt(363) + sqrt(363)*2 - sqrt(3)).\nAnswer: sqrt(13)\/32 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 228010070016*d**2\/5 + 1910016*d + 20.\nAnswer: 4*(238752*d + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -13831*h**4 - 3*h**2 + 3*h - 10230. Let c(j) = 13837*j**4 + 4*j**2 - 4*j + 10231. Let b(f) = -3*c(f) - 4*r(f). Differentiate b(i) with respect to i.\nAnswer: 55252*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1444200, -2888423, -4332646, -5776869?\nAnswer: -7221092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -361126 (base 7) to base 14\nAnswer: -19abd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 + 3*w**2 + 2*w + 3. Let t be i(-4). Let s = -21 + t. Let g be (-2)\/(-6) - (-26)\/s. Which is the second biggest value?  (a) g  (b) 1\/5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4565 and 13577140.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*y - 2*y - 132 = 0. Let b(q) = 4*q. Let g(i) = 8*i. What is y*b(l) - 6*g(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*y - 3*y - y)*(-y**2 + 3*y**2 - 3*y**2)*(-2*y + 3*y + 2*y).\nAnswer: -21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of 23\/1080*a**6 - 1\/1890*a**7 + 0*a**3 + 0 + 0*a - 5*a**2 + 25\/216*a**4 + 49\/540*a**5. Factor t(r).\nAnswer: -r*(r - 25)*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x - 2*q = -14*x + 20, -7 = -3*x + x + 2*q - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of -365*j**6\/3 + 5*j**3\/3 + 66*j + 1200. What is the third derivative of n(a) wrt a?\nAnswer: -43800*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.3 and -3432.\nAnswer: -3431.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/23)*w\/((w\/(w\/w**(-1\/5)))\/w)*w*w)\/(w\/(w*w**(2\/5)))**40 assuming w is positive.\nAnswer: w**(2333\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 22990 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 12. Let x be 3 - (1 + -735 + s). Let w = x + -54. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -3*n - n. Let c(m) = -m - 1. What is c(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**4 - 28*q**2 + 17*q**3 + 15*q - 9*q**4 + 5*q**4 - 3*q**2.\nAnswer: -q*(q - 15)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 4*i**2 - 230784*i + 230780 = 0.\nAnswer: 1, 57695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -j**2\/7 + 6*j\/7 - 8\/7 = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 69478 by 4632.\nAnswer: 34739\/2316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 2*h**2\/11 - 30*h\/11 = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137113?\nAnswer: 31, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 0, 5 in descending order.\nAnswer: 5, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-18)\/(-6) - (-2)\/(-1). Suppose 63 = -2*v - v. Let w be (2\/4)\/(v\/6). Are w and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5646 divided by -1882?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1047126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffnqecqfqdnedqfe. Give prob of picking 2 e, 1 q, and 1 f.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 349 - 57584\/165. Let w(u) be the second derivative of 0*u**2 + 0*u**4 + u + 0 + 0*u**3 + 1\/55*u**5 + v*u**6. Find p, given that w(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 279\/1678 + 1\/2517. Let p(z) be the third derivative of 2\/3*z**3 - 1\/210*z**7 + h*z**4 + 0 - 1\/30*z**6 - 1\/20*z**5 + 7*z**2 + 0*z. Factor p(n).\nAnswer: -(n - 1)*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7031 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 283, 294, 319, 364, 435, 538, 679?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -494561, -494824, -495541, -496940, -499249, -502696, -507509, -513916?\n\"Answer: -38*v**3 + v**2 - 494524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - sqrt(77)*3))*-3 - -1*sqrt(77)*5)\/(3*sqrt(21)\/((sqrt(3) - (sqrt(3) - -4*(sqrt(3) - sqrt(6)\/sqrt(2) - sqrt(3)))) + sqrt(3))).\nAnswer: 40*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -758 - -d679?\nAnswer: cd21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 10, x: 1, e: 4, z: 5}. What is prob of picking 2 u?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2\/17, -5, 19\/7, -233 in ascending order.\nAnswer: -233, -5, -2, 2\/17, 19\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 25189103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (83 - 90)*(-23)\/(-7)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51572 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (((-126)\/16)\/(-9))\/(99\/2376). Let u(m) be the second derivative of 1\/18*m**4 - 1\/27*m**3 + 1\/90*m**5 + 0 + t*m - 1\/3*m**2. Find b, given that u(b) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (23035\/3252)\/((-5)\/4*1)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f + 2. Let a(u) = u - 1. Let j(r) = -7*a(r) - 4*n(r). Let c(g) = -g + 1. Let s = 4 + -1. Suppose 2*x = 0, 5*x = -b + s*x + 1. Give b*j(o) - c(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = p + 14. Let t be 30\/(-7) + 4\/p. Let j be (-6)\/15*(-1 + t). Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -377*r**2 + 118 + 86 - 36 + 27*r**2 - 41*r**2 wrt r?\nAnswer: -782*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227012311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vowi when four letters picked without replacement from wvivpoi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + -1 + 1 - (-3 + -1). Solve i = s + 4, -3*s = -v*i - 5*s + 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 61470529*m**3*p**3 + 11787*m**2 - 46*m*p**3 - 2 wrt m?\nAnswer: 368823174*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 + 11*o**2 - 10*o. Let q be p(10). Let y be (-2 + 3 + q)*0. Solve y = -4*m - 8 + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + 0*c + 6*c)*(-4*c - 6*c + 6*c)*(-7 + 65 + 11).\nAnswer: -1656*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -23*z + 1\/2*z**3 + 0 + 45\/2*z**2.\nAnswer: z*(z - 1)*(z + 46)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*q = 18*q - i + 10, -4*i - 8 = 0. Solve 4*t - 2 = -2*j, 0 = q*t + 5 - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/1 - (7 + (-232)\/14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1139865 by -227973.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) - 3*sqrt(68)\/sqrt(4) - (sqrt(17) - (sqrt(1700) + 0 + sqrt(1700))).\nAnswer: 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25\/322 - -3\/46. Let a = 47229\/5 - 9373. Let p = -73 + a. What is the biggest value in -1\/3, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 155, -5, 7, 1, -3, -4 in descending order.\nAnswer: 155, 7, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -136*s**2 - 7*s - 19. Let n(t) = 21*t**2 + t + 3. Let h(q) = -2*m(q) - 13*n(q). Let i(f) = -f**2 + 3*f + 3. Calculate -2*h(b) - i(b).\nAnswer: 3*b**2 - 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(5\/2)\/(t*t*t\/(t\/t**(-2\/11))*t)*(t**11*t)**(2\/119) assuming t is positive.\nAnswer: t**(-305\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5*(0 - 3)\/(-3). Suppose -7 - 13 = -n*o. Suppose 2*l - 10 = 2*r, -3*l - o*r = -11 - 11. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -240 = -5*l - 0*l. Suppose -o = 1, 0 = 2*n - 2*o - l - 66. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 160812, 643241, 1447290, 2572959, 4020248, 5789157?\nAnswer: 7879686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44*(10672\/638)\/23?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -109*i**3 - 7*i**2 - 11*i - 12. Is d(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**3 + 16*f**2 - 3*f + 48. Let x be p(16). Is x >= -7\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 + 22. Suppose f - 132 = -v*p, 3*f + 3*p - 290 - 70 = 0. What is the remainder when f is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16024 - 6777. Suppose 30*g = 16193 + y. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142515342.\nAnswer: 2, 3, 37, 71329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*o + 4*o = -5*k - 5, 35 = 3*o + 5*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44 and 11568?\nAnswer: 127248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*o**3 + 8 - 8*o**3 + 12*o**2 + 3*o**2 + 2*o - 25*o**2 + 23*o**2 to the form d*o + k*o**3 + i*o**2 + w and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**3 + 0 + 0)*(i**2 + i**2 - 4*i**2) - 3*i**3 + 3*i**3 + i**5 + 30*i**5 + 2*i**4 + 8220093*i + 6*i**2 + 3 - 8220093*i.\nAnswer: 27*i**5 + 2*i**4 + 6*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000598678 to six decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 9 = -5*n + 29, 5*s + 18 = 3*n. Let x(a) = -2*a - 3. Let z(h) = -2*h - 2. Let u(w) = s*z(w) + 2*x(w). Let o(f) = -f**2. Determine u(o(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 124 - 624\/5. Let b = -3450 - -3453. Put 0, b, p, -3\/5 in decreasing order.\nAnswer: b, 0, -3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -140 divided by 6.\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1534 + 3750?\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 8*y**3 - 4*y**2 + 7*y + 1. Let u be k(5). Let q = -512 + u. Suppose 37*g - q = 33*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8721 + 7759 = 412*b - 11413 - 10973 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (26598\/(-825))\/((-10)\/25). Is -1 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**3 - 3*w**3 + 2*w**4)*(-4877*w - 4844*w + 10156*w) + 3*w**5 + w**5 + 0*w**5.\nAnswer: 874*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -3*k + 23. Let y = -11 + 4. Let m = 25 - y. Calculate the remainder when m is divided by c(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qnaaqehneahnuun. Give prob of sequence hne.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.5 + -3.5. Let l = -0.19 - 0.31. Let g = 1 + -1.2. Which is the nearest to n?  (a) g  (b) l  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -63 - -63.1. What is the third biggest value in 0, 3, m, 2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 5. Calculate the remainder when 45 is divided by (12*2)\/((-6)\/t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 511 + -3571\/7. Suppose 0 = 8227*v - 8220*v. What is k in v + a*k**2 + 0*k - 3\/7*k**3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((34\/(-187))\/((-20)\/(-55)))\/(4*(-6)\/(-28)).\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211*y - 1928 + 3937 - 3111 = 21475 for y.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 20 = 0, -4*s + 44 = -4*w - 40. Let o be 1 - ((-2 - 1) + 0). Let c be 0\/(2 - (2 - 2)). Solve c = g + o*g + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -3*p - 2*p**2 + 8*p + 3 - 3*p. Let n(r) = -7*r**2 + 7*r + 11. Calculate 22*d(j) - 6*n(j).\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 2*t - 23, 5*t = 3*o - 21 - 8. What is the third derivative of 14*r**4 + 175*r**o - 175*r**3 + 3*r**2 wrt r?\nAnswer: 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8704 times 2938.8\nAnswer: 25579315.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 32644890 divided by -135\nAnswer: -241814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.4, 1\/27, 1\/10, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 9*o - 3*o - 4*o - o + 44. Does 14 divide f(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -6*n**2. Let k(f) = -290854*f - 64. What is k(t(g))?\nAnswer: 1745124*g**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -478694, -957379, -1436052, -1914707, -2393338, -2871939?\n\"Answer: d**3 - 478692*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/9*3\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b - 44. Determine l(25).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 3*k + 17173 = 916, -2*w - 9*k + 10882 = 0. What are the prime factors of w?\nAnswer: 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-15)*(-10)\/(-4)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -240.92900096 + 240.749. Let o = 2.3 + -2.48. Let n = o - l. What is n rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -27562.\nAnswer: -27562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - -11100200020022010?\nAnswer: 11100200020022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 876 - 3012. Suppose -10*t + 4*t = -x. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2*1*236\/(-8)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**24\/(q\/(q*q\/q**(1\/6)))*((q\/q**(-3\/11))\/q)\/(q\/(q\/q**8)*q*q) assuming q is positive.\nAnswer: q**(997\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -87*z**2 - 2*z**3 - 101*z**2 + 184*z**2 + 1 - 19*z in the form m + q*z**3 + c*z + p*z**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 2\/5, -339, 0 in ascending order.\nAnswer: -339, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 - 1\/(4*3\/24) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 3 = -3*x + 258, 4*x = -2*i - 136. Let w be i\/(-88) + (-17)\/(-4). Let y(t) = -t**3 - 5*t**2 - 6*t - 2. Let b be y(-4). Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*c - 8*c - 42 = 0. Let l(j) = -j**2 + 6*j + 9. Give l(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 15, 2*g = 5*v + 31 + 69. Let r = -13 - v. Calculate the remainder when 25 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 3018.813 millimeters?\nAnswer: 0.003018813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/5 - 486*v\/5 - 488\/5.\nAnswer: 2*(v - 244)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 5 + 17 = 0. Suppose -2*h + r + 7 = 0, 4*h + w*r - 11 = -h. Let u = 6613\/21 - 315. What is the second biggest value in h, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -86660 rounded to the nearest 1000?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 68 and 1088?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47850837.\nAnswer: 3, 15950279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together 8.4915676614 and 0.3.\nAnswer: 8.7915676614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 4*k**2 - 12*k + k**2)*(-3 - 6*k + 3) + (-k**2 + k**2 - k**2)*(2 + 3*k - 2) + 2*k**3 - k**2 + k**2 + 3*k - 3*k - k**3.\nAnswer: -32*k**3 + 66*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 2*j = 8 + 20, 25 = -5*j. Suppose 5*h - 34 - 16 = 0. Are k and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + b + 2 = -1, -3*n = 5*b + 15. Sort n, -0.4, -3\/5 in descending order.\nAnswer: n, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 6*(3 + sqrt(76)*-2*1*5 + (6*-5*(sqrt(76) + 2))**2).\nAnswer: 43080*sqrt(19) + 432017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1704.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2038*g + 89755 + 96622 + 100527 - 91256 for g.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 - 11*r + 4. Let q be (-3)\/(-12) + (-86)\/(-8). Let p be z(q). Let d = 0 + p. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39457, -77790, -116123?\nAnswer: -154456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/2982 and -55\/588?\nAnswer: 41748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 64, -2\/15, -0.4?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 21*a**2 + 2*a + 7. Let n be v(3). Let s = n + 541. Let f = s - -1802. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9844556 centuries in decades?\nAnswer: 9.844556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) -3  (b) -0.1  (c) 3  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -13*y - 17. What is z(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*u**4 + 59*u**5 + 197*u**5 - 108*u**2 + 1 + 3*u**4 + 0 wrt u?\nAnswer: 15360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.2 - 2.2. Let w = -19 + 19. Which is the closest to w?  (a) i  (b) 0.1  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-12)\/(-120))\/(39\/(-18) + 2). What is the nearest to 0.03 in s, 11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 697389 is divided by 57680.\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 894928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 5:39 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8887.374 days?\nAnswer: 12797818.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 172575 (base 8) in base 7?\nAnswer: 351136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4449, 9041, 13635, 18231?\n\"Answer: q**2 + 4589*q - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23661, 47322, 70983, 94644, 118305?\nAnswer: 141966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1103 plus 1607.31?\nAnswer: 2710.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 9951 - -0.5\nAnswer: 9951.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19847*n - 38865*n + 2 + 20320*n - 5 to p + h*n and give h.\nAnswer: 1302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 10:38 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1497134.\nAnswer: 2, 748567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -14*p**3 + 6*p**2 - 104*p + 557. What is q(6)?\nAnswer: -2875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 75 + -71. Let s be ((-6083)\/k)\/(-11) + 2\/(-8). Calculate the highest common factor of 92 and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y + 1. Let p be q(-1). Let k = p - 1. Let x be -3296 - 3 - (3 + k). Round x to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 + 9*p - 2. Let k be b(8). Let j(f) = f**2 - 6*f + 6. What is the smallest common multiple of 5 - (5 - (-2 - -9)) and j(k)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16?  (a) -1572  (b) -15  (c) 0.5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 60283, 60281, 60277, 60271, 60263?\n\"Answer: -l**2 + l + 60283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 = 2058\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 193*q**2 - q - 13 wrt q.\nAnswer: 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 289 = 22*u - 393. What is the remainder when 152 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 7046616 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 1 = -4*u - j, -5*j = -2*u + 5. Suppose u = 8*v - 7*v - 460. What is the remainder when v is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36212, -4, -953.\nAnswer: -36212, -953, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 7*p + 9*p = 1014, 2*o + 4*p - 1020 = 0. Let d = -330 + o. What are the prime factors of d?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from zhzlscsggsgs.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-5)\/10)\/((-3)\/24). Suppose -4*y + b = 5*d - 2, -d + y + 3 = 0. Factor 3 + 2*r**2 - 4*r**d - 4*r + 1 + 3*r**2.\nAnswer: (r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -4*c**4 + 171568*c**3\/5 - 68624*c**2\/5 = 0?\nAnswer: 0, 2\/5, 8578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r**3 + r**2 - 7*r - 5. Let o(x) = -2*x**3 - x**2 + 3*x + 2. Let h(w) = 3*i(w) + 5*o(w). Let q be h(-1). Round q to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13989 + 103992206.\nAnswer: 103978217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.09119943 to three dps.\nAnswer: -19.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 353 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 107508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c**2 + 761633 - c**2 - 761632 + 36*c - 2*c**4 - 2*c**3 as v*c**3 + z*c**2 + x + j*c + w*c**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -1 + 9 + -2 + (147 - -80 - 211)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*z + 362 + 618 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -127*s. Let k(n) = -254*n + 1. Let l(j) = 5*i(j) - 2*k(j). Is l(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 0)*(3 + (-114)\/30)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1541.61*3\nAnswer: 4624.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40, 1, -5 in decreasing order.\nAnswer: 40, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 - 17*w + 30 - 19.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-39)\/(2106\/36))\/(16*(-9)\/(-1350))\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/45  (b) 6  (c) 2\/3  (d) -75\/229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3819 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1498*u**2 + 7700*u**2 + 244*u**2.\nAnswer: 6446*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 231*s - 7. Let n(h) = -6578*h - 2. Determine n(f(w)).\nAnswer: 6578*w**2 - 1519518*w + 46044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -17*1\/3*3. Let u(v) = 2*v + 3*v**2 - 17 - 2*v. Let f(t) be the second derivative of t**4\/12 - 3*t**2 - 3*t. What is c*f(g) + 6*u(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 28. What is the remainder when 50 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 25 + 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-29)\/(-870)*4)\/(5*2\/(-6)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*w - t, w - 4*w - 2*t = 16. Let r be w\/(-7) - (-124)\/7. Let n be 180\/(-2)*(-2)\/4. What is the greatest common divisor of n and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -1. Let l be n\/3*6*-1. Calculate the remainder when 2 is divided by (-20)\/(-9) + l\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 2*v, 2*v - 2 = 2*g - 4*g. Let i(d) = 3 - 2*d**2 - d + 1 - d**3 + 3*d**g. What are the prime factors of i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4878543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/3)\/(g*g**(-1\/9)))\/(g**(1\/4)\/(g**(1\/7)\/g))*(g**(2\/3))**(-14)*g**(2\/7)*g*g**(3\/11) assuming g is positive.\nAnswer: g**(-28009\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w + 9 + w**2 - 19 + 0*w. Let y be v(-7). Solve 0 = 4*l - 5*z + y, 0*l + 2*z - 10 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 + p**2 + 1. Let x(j) = -7 + 4 - 4*j**2 + 18*j**3 - 17*j**3 - 1. Let i(z) = -z + 9. Let m be i(7). What is m*t(c) + x(c)?\nAnswer: -c**3 - 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h*h**(-1\/6)))\/(h\/h**(-7)) assuming h is positive.\nAnswer: h**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -325 - -820. Let v be (4\/5)\/(22\/s). Suppose v*i - 5841 + 1395 = 0. What are the prime factors of i?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 174 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-5)*(-23)\/483\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in -3, -4, 1\/4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p**2 - 4*p + 1. Let j be t(-3). Let i(q) = 91*q + 4 + 93*q - 186*q. Is 7 a factor of i(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 129675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of -2*q**5\/15 + 5*q**4\/6 + 2*q**3\/9 - 5*q**2\/3 - 105. Factor i(b).\nAnswer: -2*b*(b - 5)*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 967 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (-2 - (6 - 1)) + 20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 5*s + 8*x - 18545, -s + 3727 = 4*x. Suppose 18*p - s = 4825. What are the prime factors of p?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 5, e: 7}. What is prob of picking 2 e and 1 p?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-61)\/((14\/(-420))\/((-4)\/(-10))). Let u = f - 402. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-20)*(-2)\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 148856 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -84.8 + 60. Let b = -22 - h. Let j = b - -1.2. Put 1\/46, -0.5, j in descending order.\nAnswer: j, 1\/46, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -466 - 315?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 12834384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 2. Suppose 2*l + 0*a + a - 19 = 0, -4*l + 29 = 5*a. Suppose s*x = 5 + l. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -2*h**3 - 2*h - 6. Suppose 0 = u - 83 + 85. Let q be s(u). Let l = 81 + q. Calculate the remainder when l is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21120112 (base 3) to base 12.\nAnswer: -3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1299959 is divided by 157.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 83668239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (29 + -1)*6*(-6)\/(-72). Solve a*s + 100 = 128 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 544.446 + -566.1. Let j = u + 0.254. What is j rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32726\/133 - 4686\/19. What is the nearest to -0.1 in -1, z, 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-73*f + 56*f - 45*f)*(4*f + 0*f - 3*f) + 5*f**2 - 3*f**2 - 3*f**2 + (-3 + 2 + 2)*(-f + f - 2*f**2).\nAnswer: -65*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -38 + 39.3. Let k = o - -2.7. Let j = k - 4. Which is smaller: 2.2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*a - 51*a + 443*a - 2135 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fuyzfyziyuuuffzy. Give prob of picking 1 z and 2 f.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1253?  (a) 4\/7  (b) 3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3227, 2952, 2681, 2414, 2151, 1892?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/3 + 48530716*c\/3 - 294403799434082\/3.\nAnswer: -2*(c - 12132679)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31505154 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -314 + 358. Factor -n**3 + 24*n - 91*n**4 + 25*n**3 + i*n**2 + 95*n**4.\nAnswer: 4*n*(n + 1)*(n + 2)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 1 - 21*b**2 + 58*b**2 + b - 22*b**2 - 16*b**2 - b**3. Let n(y) = y**3 - 5*y**2 - 6*y - 2. Let x be n(6). Is f(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18209 + -18206. Suppose -6 = 5*g - 1. Which is the nearest to h?  (a) 0.1  (b) 5  (c) g  (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*r - r - 2*r)*(-5 + 3 + 1) + 3*r - 13*r + 9*r as j*r + g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 + -11. Let z = -34.06754089 + 6.06754155. Let h = z - u. Round h to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 PM and 12:37 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -4*a**3 - 4*a**2 + 48*a = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -5, 0.4, 0, 0.11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.65 + 0.05. Round p to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12\/91 - 2\/13. What is the nearest to -1\/2 in u, -0.06, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 1043 = 5*h, 4*h + z - 289 = 549. What are the prime factors of h?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -13*i - 6*i + 2*i. Let c(u) = u. Determine c(v(w)).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -501075747 less than -1491?\nAnswer: 501074256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, 2, 3\/5, -5 in descending order.\nAnswer: 2, 3\/5, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c + 2*c - 5 + 2*c. Suppose -5*k + 4*r + 113 = 21, 0 = 3*r + 9. Suppose -2*u = -6*u + k, -5*u = -3*b - 8. Calculate p(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-6)\/t*t)**(13\/6) assuming t is positive.\nAnswer: t**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, 22, -3.843 in ascending order.\nAnswer: -3.843, 2\/5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 PM and 1:47 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -650045 divided by -53.\nAnswer: 12265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*l**2 - 9*l**2 - 8*l**2 + 19*l**2 + 52*l to the form d + q*l**2 + s*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -23, 5, 2, 73?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 78437 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*z - 185 = 29*z - 657. Suppose -2*q + 6*q - 8 = 0. Suppose -3*w = -y - q*y - 81, 0 = w + y - 17. What is the remainder when w is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(2\/3)*w**21 assuming w is positive.\nAnswer: w**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 272729.3mm to meters.\nAnswer: 272.7293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2827 + -2826.57. Put -2\/7, -1\/2, v, -2 in descending order.\nAnswer: v, -2\/7, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -352925, -705842, -1058759, -1411676, -1764593, -2117510?\n\"Answer: -352917*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 - p**2 + 16*p - 6. Calculate v(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -31*g. Let a(f) be the second derivative of 0*f**2 + 27*f + 0 + 1\/6*f**3. Calculate a(h(d)).\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 9*r - 377. Let h be b(16). Is h smaller than -233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -770401, -1540689, -2310977, -3081265, -3851553?\n\"Answer: -770288*m - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -19 + -38cc24?\nAnswer: -38cc40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -60 - -63. Let p(g) = h + 5*g - 14 - 2 + 7. Let k(s) = 11*s - 13. Calculate 3*k(l) - 7*p(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*u - 3*a = 15*u - a + 5, -4*u + 2*a = -10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 110?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 485 and 2716.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 46778.34 rounded to the nearest one hundred?\nAnswer: 46800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 + 10*s - 7. Let u be n(9). Determine b so that 1\/3*b**3 - 1\/3*b**u + 1\/3*b**4 + 0 - 1\/3*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24918.\nAnswer: 2, 3, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3377484 divided by 125092.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, m: 1, p: 2, c: 1, g: 3}. Give prob of sequence gg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3b79 (base 14) in base 13?\nAnswer: -4a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -3\/140*j**5 + 0 + 12*j - 5\/14*j**4 + 0*j**2 - 25\/14*j**3. Determine q so that o(q) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1912\/(-717)*(-6)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 12:06 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 - 9*c + 15. Let z be s(11). Suppose -z*w - 445 = -42*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139 + 101 = 40*c. Solve u + 24 = 4*v, 2*v - 8*u + c*u = 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00044179116 to six decimal places.\nAnswer: -0.000442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-3)\/(-6))\/((-1)\/(-2)). Let p(z) = 10*z**3 - 2*z + 1. What is the remainder when 34 is divided by p(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -69 + 205\/3. Let d = 2.8 + 1.2. Let i = -1 + d. Which is the nearest to y?  (a) i  (b) 0.5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -119233.4 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12975 + 12976. Sort -1.4, b, 6, 2\/9.\nAnswer: -1.4, 2\/9, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -4*y + 34, -3*y + v + 2*v + 30 = 0. Let j(h) = h**2 - 17. Let s be j(0). Let b = y - s. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (11529\/915)\/((-7)\/(-10))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 0*a - 2*i + 299998 = 0, -a - 2*i = -74998. What is a rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 - 3*w - 3. Let h be 66\/11 + (1 - 3). Determine m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11359*b = -7319*b - 365*b - 38086 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9919 + -9921. What is the nearest to g in -3\/2, -1, 8, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 45*o - 237. Suppose 5*m + 4*w - 6 = 33, -3*w = 3*m - 21. Calculate the remainder when s(6) is divided by m + (-1)\/(-2 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 12 = -3. Suppose 0 = -z*r + 41 + 9. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of z**8\/25200 - z**7\/12600 + z**5\/12 - 4*z**2. Let i(b) be the third derivative of p(b). Factor i(j).\nAnswer: 2*j*(2*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 PM and 2:12 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of 41*s**4\/12 - 2*s**3\/3 + s**2 - 6*s. Suppose -10*n + 9 + 11 = 0. What are the prime factors of i(n)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -21) + -20 - (1 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 - 1817*w + 636527. Give h(474).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or -1788901.9?\nAnswer: -1788901.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11853 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3164.41 weeks?\nAnswer: 1913835168000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 158489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 10) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -11650 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 AM and 5:52 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 177*k - 74*k + 74*k to f*k + h and give f.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -61.6059792 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pvp when three letters picked without replacement from {n: 2, p: 2, v: 1, s: 2, l: 1, i: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 149*w**5 - 77*w**5 + 111*w**5 - 106*w + 31*w wrt w?\nAnswer: 3660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-912)\/504)\/((-219)\/(-13797))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2028 and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*x = 5*p - 5, 45*p - 5*x + 5 = 50*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/2*10\/(-3). Suppose 0*f = -q*f + 130. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10125*r**3 - 136262025*r**2 - 133226720*r - 32565940.\nAnswer: -5*(r + 13457)*(45*r + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24447 is divided by 445.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48327*d = -48323*d - 84 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 58244.00048703 - 58244. Round c to 6 decimal places.\nAnswer: 0.000487","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 + 9*m**2 - 2. Let f be (-4 - -2)\/((-2)\/(-9)). Let w be y(f). Let z = 23.1 - 23. Is z at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v. Let d(b) = -2*b**2 + 55*b - 3. Let l(s) = -2*s**2 + 51*s - 4. Let w(j) = -4*d(j) + 3*l(j). Determine z(w(g)).\nAnswer: -2*g**2 + 67*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + 26 + 4. Suppose -i*v + 16 = -v. Find m such that -3\/4*m**5 - 15\/4*m**v - 3\/4 - 15\/2*m**2 - 15\/2*m**3 - 15\/4*m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 - 29*a - 185. Let u be y(34). Calculate the remainder when ((-5)\/u)\/((-5)\/(-1785)) is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 538 is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1179287*i**6 - 4*i**3 - 11043207*i**2 wrt i?\nAnswer: 141514440*i**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of p**6\/33 + 4*p**5\/55 - 3*p**4\/22 - 16*p**3\/33 - 4*p**2\/11 + 27. Let u(h) = 0. Calculate h.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*m + 82 - 100 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + 2*sqrt(1331)*-6)*4)**2 + (1*sqrt(1331) + -5 + 2 + sqrt(1331) + 0)**2.\nAnswer: 16764*sqrt(11) + 3072213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 7) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -525 + -56469?\nAnswer: -56994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -1 + 8 + -1 + 32 + -48.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 less than 328507216?\nAnswer: 328507216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 82\/(-32) - (-8 + 5) and ((-48)\/45 + 1)*(-7566)\/(-104).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 1. Suppose 21 = -5*y - 4. Which is the closest to i?  (a) y  (b) -0.2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.924037 millilitres in litres?\nAnswer: 0.000924037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 12*o**2 - 6*o - 13. Is d(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 times 20329503\nAnswer: 142306521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -3*p**2 - 20*p - 10. Let b be u(-6). Let z(t) = -3 - 9*t - 29*t + 31*t + t**b. Calculate z(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, m: 1, u: 4}. Give prob of picking 1 l and 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 4*a + 21. Suppose -4*r + 169 = a. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(75) + sqrt(75))*4 + sqrt(75) + -5)**2.\nAnswer: -650*sqrt(3) + 12700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of 75*z**5\/7 + 20175*z**4\/28 - 1170*z**3 + 4938*z**2\/7 - 1320*z\/7 - 494. Factor b(v).\nAnswer: 3*(v + 55)*(5*v - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4062 (base 8) in base 12?\nAnswer: 126a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 14. Let l be (0 + i)*(-4)\/(-12). Suppose -l*a - 20 = -4*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -3*h - 34. Let s be x(-8). Let g be (3 - -10)\/(s\/(-10)). Solve 4*o + g = 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40*m + 155 + 58 - 13. Solve 5*i - 37 = 3*h, -h = -5*i + 34 - m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 154*h - 4641 + 1541 + 1547 + 1537 + (0 + 0 - 2*h)*(-1 + 0 + 2).\nAnswer: 152*h - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 14*g**2 - 44*g - 120. What is the units digit of q(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, l: 9, y: 2}. What is prob of picking 2 h?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 3*p**2 - 3. Let t be q(3). Let k be ((-5)\/(-10))\/(t\/(-6)). Let x be 3*((-2)\/k - -3). Solve x*u - 2 = 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 39\/(-24) - 0\/(-6)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of -p**6\/120 + p**5\/12 + 5*p**4\/24 + 4*p**3\/3 + 205*p**2\/2 - 8*p - 17. Let i(q) be the first derivative of a(q). Give i(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 3, 0.16, -0.4.\nAnswer: -0.4, -2\/17, 0.16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, n: 5, u: 5}. What is prob of sequence nnhh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -3*j**2 + 3*j**2 - 5*j**2 + 2*j**2. Let v(u) be the third derivative of 0 + u**2 + 0*u**4 + 0*u - 1\/30*u**5 + 0*u**3. What is i(v(g))?\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.049 + 5.449. Let g = s + -3.3. Let j = -62905\/8 + 7863. Which is the nearest to -1\/2?  (a) 1\/7  (b) g  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -122\/26707 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c + 3. Let n be f(9). What are the prime factors of (-5 - -8) + 1 + n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 5.5, -2\/29, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p + 7 - 43 = 0. Determine y, given that 107*y - 19*y - p*y**3 + 54*y**2 + 17 + 10 + 3 = 0.\nAnswer: -1, -1\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -6. Suppose -f*c = -0 + 2. Let q = 8 + -3. What is the second smallest value in c, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rccccrcrcrrr. What is prob of picking 2 r?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6754149181 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 10102000000 (base 3) to base 4\nAnswer: 100113330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/23  (b) -1\/4  (c) 5  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1323731 is divided by 147081.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22711 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*n + 139 + 35 + 32 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 500 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q - 3*q = -3*i + 6, -5*q = -2*i + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -510*y + 1166*y + 22960 = 0 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 - 27*u**2 - 3*u - 80. Let k be y(-27). Solve -2*i = k + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2251643 (base 11) to base 12.\nAnswer: -13a0499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 308 and 71939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -3, -60488131 in decreasing order.\nAnswer: 7, -3, -60488131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 135365953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*l + 38004 = 114504. What are the prime factors of (l\/(-70))\/((-4)\/(-28))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 2*j**2. Let t(a) = 21*a + 8. Let w(r) = -7*r - 3. Let g(x) = -3*t(x) - 8*w(x). What is u(g(f))?\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - -1. Let l(x) = x**2 + x - 5. Let f be l(i). Solve 0 = -9*k + 4*k + f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.0553, -8, -2\/9, -1, -4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 67960 by 16990.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -528 + 528 - k - 16*k to the form f*k + q and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37799, -75398, -112997?\nAnswer: -150596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -8. Let a = -5.9 - y. Let z = -7\/20 + -1\/20. What is the closest to a in 3, -3\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -5*j + j**2 - j + 0*j + 10 - 3. Let p be k(5). Suppose 0 = 4*s - 20, 5*n - 3 - 7 = p*s. What is the highest common factor of 28 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (173\/((-51035)\/(-118)))\/((-2)\/(-55))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 150 = -2*w - 54, 4*m - 220 = -2*w. Calculate the remainder when m is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1724 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of 0*q**5 - 61\/120*q**6 - 11\/6*q**3 - 5 + 0*q**4 - 12*q**2 + 0*q. Differentiate n(b) wrt b.\nAnswer: -183*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -32*t**5\/9 + 2540*t**4\/9 + 3224*t**3 - 36476*t**2\/9 - 62920*t\/9 = 0.\nAnswer: -11, -1, 0, 2, 715\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -32814*l + 918800. What is j(28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m + 0*m + 0*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 380454 + 2166?\nAnswer: 382631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4518 and 378?\nAnswer: 94878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -7 + 3181*d - 6378*d + 3*d**2 + 3239*d - d**3. Calculate s(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 457, 906, 1355, 1804?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 228579950 divided by 25.\nAnswer: 9143198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - 1) + 6 - -2. Let m(g) be the first derivative of g**2\/2 - 7*g - 1. Let f be m(o). Solve f = 3*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12*624\/(-39))\/(-6)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -15*o**4\/2 - 4381250*o**3 - 1279684262485*o**2\/2 + 853129170140*o - 213282657640 = 0. What is o?\nAnswer: -292084, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(117)*2)\/sqrt(9) + (5 + 1*sqrt(13) + 5)**2.\nAnswer: 12*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 - 62 = 5*r. Let l = r - -16. Let j = l + 12. Solve p - 1 = j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 285*v**4 - 5*v**2 - 25. Let i(o) = -142*o**4 + 2*o**2 + 12. Let w(g) = -5*i(g) - 2*y(g). Find the first derivative of w(m) wrt m.\nAnswer: 560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((63\/(-63))\/(1\/1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1514881584.\nAnswer: 2, 3, 29, 362759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -32520 divided by 4?\nAnswer: -8130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 342313 is divided by 342299?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6) - ((sqrt(6) - (sqrt(360)\/sqrt(6))\/sqrt(10)) + sqrt(6)))\/(sqrt(3) + sqrt(3) + sqrt(3) + 4*-1*sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 203600.\nAnswer: 2, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 416436308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -3) + (-58 - -26 - -27) - 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 93 divided by -58128\nAnswer: -31\/19376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -6346 take away -2928.1?\nAnswer: -3417.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 2\/15  (b) -4  (c) 4\/5  (d) -3041  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 71058076 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 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: What is prob of sequence egy when three letters picked without replacement from {y: 7, u: 6, g: 3, e: 1, r: 2}?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -714 = 2*z + 18*j, 43 = -4*z - j + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -7*x - 15. What is m(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 15 - 3*l)*(0*l - 3*l + 2*l + 9*l**2).\nAnswer: -27*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(((q*q**(1\/3))\/q)\/q)*q*q*(q*q**16\/q)\/q)\/((q\/(q**(-6)*q))\/(q\/(q*q*(q*(q**(-2)\/q)\/q)\/q*q*q*q))) assuming q is positive.\nAnswer: q**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -30*q*x + 1059*q - 5*x wrt x?\nAnswer: -30*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l - 6. Let y(x) = 2*x + 6. What is 4*m(q) + 5*y(q)?\nAnswer: -2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 23884057817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2. Suppose 14 = 5*p + 2*p. Let m(i) = 419*i**p + 2 - 410*i**2 - 2. Give y(m(b)).\nAnswer: -81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + -18 - (-13 + -1 + 6) - -19?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*j + 3*z + 11, -56*j + 11 = -55*j - 5*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11470607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 89327560557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -6*j**3 - 11*j. Let u(m) = 3*m**3 + 6*m. Let z(s) = 5*u(s) + 2*w(s). Find the second derivative of z(p) wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*y - 2*y + y + 5*y - 2*y - 5*y + (2 - 2 + 1)*(3 + y - 3) + 3*y - y - 4*y + 0*y + 0*y + 3*y + y + 10*y + 6*y in the form o + x*y and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - m + 0 + 0)*(-3 - 4 + 4).\nAnswer: 3*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 494*c**2 + 119592 - 119592 - 309*c**2 + 897*c**2 + 822*c**2.\nAnswer: 1904*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33678 = 2*n - w - 384175, 0 = -n - 5*w + 175265. What is n rounded to the nearest one thousand?\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -43*k - 187. Is 11 a factor of z(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of i**6\/30 - i**5\/5 - 5*i**4\/12 - 58*i + 2. Determine r, given that w(r) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.109137297 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**2 + 5*q**2 - 5*q**2 + 2*q - 2*q - 3*q**2 + 313*q + 148*q**2 - 313*q + 2 + (-2*q - 2*q + 2*q)*(3*q - 3*q + 2*q) + 2*q**2 - 3*q**2 - q**2.\nAnswer: 137*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 335 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(45)\/(-2*sqrt(81)) + (sqrt(5) + (sqrt(5)*-1)**2)*1 + -4.\nAnswer: 1 + 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -108*p + 1409. Let q be m(13). Which is the nearest to -1?  (a) -21  (b) q  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/28 and 41\/23800874.\nAnswer: 333212236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 12*x - 90, 5*x + 126 - 1 = 5*b. Calculate the greatest common factor of b and 9022.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**4 - 708*i**3 - 8696*i**2 - 27552*i.\nAnswer: -4*i*(i + 6)*(i + 7)*(i + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 804333*f**4 - 64822*f**2.\nAnswer: 19303992*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -135*c + 122*c - 86*c. Let d(m) be the second derivative of m**3\/3 - m. Give s(d(b)).\nAnswer: -198*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3493280 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*k - 172 = 2*k - 5*r, -4*k = 3577*r - 3573*r - 44 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, y: 1}. What is prob of sequence rr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8355, -34172, -77231, -137532?\nAnswer: -215075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {k: 13, q: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 169304 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 831.3223nm to centimeters.\nAnswer: 0.00008313223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 AM and 1:58 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -22*a + 100. Let v = 13290 + -13285. Determine g(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - -4. Suppose l*a = 5*a. Which is smaller: 1\/15 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 540 + 8*b**4 - 38*b**2 + 212 - 40*b - 752 to s*b**2 + l + h*b**3 + f*b + j*b**4 and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -3*z**2 + 4*z - 2. What is k(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 divided by -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3968340420 a multiple of 2167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 PM and 3:51 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 1040?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11396739*b**3 + 33*b + 70964 wrt b?\nAnswer: 68380434*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -223*v**5 - 156*v**5 + 2229920*v - 59*v**5 - 2230990*v wrt v?\nAnswer: -8760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 = 4*c - 3*l, 2*c - 33*l = 40*l + 40*l - 108*l + 94 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 4. Let v be (-2 - -1)*j*2. What is the derivative of 7*z - z**3 - z**3 - 7*z + v wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/11 or -441190\/9?\nAnswer: -441190\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -498 - -511. Let w(q) be the first derivative of q + 1\/3*q**3 + g - q**2. Determine j so that w(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -0.4  (b) 4\/7  (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -10*u - 7. Let q(h) = -3*h - 2. Suppose c - 5*k - 10 = 0, -4*k - 6 = -4*c + 18. Suppose c*p - 6 = 4. Let w be 3 + -3 - p\/1. What is w*x(y) + 7*q(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-5) + (-28)\/(-5). Let b = o + -1. Solve b*v = 2*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 206*v - 206*v - 989*v**2 + 500*v**2 + 501*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(-5 - 1 + 2)*(3*t - 4*t + 4*t) + (0 - 3 - 7)*(-1 - 1 - 2)*(2*t - 7*t + 3*t).\nAnswer: -56*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 15) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/12*4\/(-10). Let z be (-23)\/56 - 10\/(-35). What is the third smallest value in -1, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128)*1 + 2 - (1 + sqrt(128) + 1 - sqrt(128))) + 3*(sqrt(128) - (3 + (2*sqrt(128) + sqrt(128) - sqrt(128)) - sqrt(128)))*-2)**2.\nAnswer: 288*sqrt(2) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1207 - 506?\nAnswer: -1715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -313 - 42336?\nAnswer: -42651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 145399316, 145399315, 145399314?\n\"Answer: -w + 145399317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3002, 8222, 13442, 18662?\nAnswer: 23882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/15)\/(6\/515). Let l = m - 35. Sort 5, l, -1\/3 in decreasing order.\nAnswer: 5, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**2 - w + 6. Let m be y(0). What is the greatest common divisor of 54 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -19. Suppose n*o - 31 = 89. What are the prime factors of (18\/o)\/(-2 - (-257)\/128)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 224\/264 - (-2)\/33*-3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6 - -3) + 1 + 2. Factor -1\/5*d**5 + 0*d + 1\/5*d**3 + t*d**4 + 0 + 0*d**2.\nAnswer: -d**3*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (3 - 2) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10848, 21697, 32544, 43389?\nAnswer: 54232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -38*c - 1. Give t(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4783.\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 10 = 4*l, 0 = -3*l - 2*h + 5*h. Suppose -3 - 3 = 3*s. Let u = s + 1. Which is bigger: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/3 + (-2)\/3. Suppose -3*g + i*g = -9. Suppose 2*r = 3*y + 21, r - 3*y = g*r + 9. Solve r*k = 5*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, 13, -2, -6 in increasing order.\nAnswer: -6, -3, -2, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (4725\/(-42))\/(2*3\/(-8)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-30)*n*n)\/(n*n\/n**(12\/11)) assuming n is positive.\nAnswer: n**(-307\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -134\/61 + 40697\/15555. Let z be (-6)\/10 + (-1106)\/(-1785). Let q = s - z. Put -3, q, 4\/9 in ascending order.\nAnswer: -3, q, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-588)\/(-210)*((-22)\/14 - -3). Solve 1 = -z - 2*w, -8 = -5*z + z + t*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 448*j**2 - 112*j**2 + 46*j**3 - 115*j**2 - 112*j**2 - 109*j**2.\nAnswer: 46*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 + -12. Let l = 3 - 2.6. What is the closest to 2\/7 in l, -4\/9, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 - 6*o**2 + o + 3. Let z be r(5). Let u = 29 + z. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 0.0534?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.643 + -292559.9?\nAnswer: -292560.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 + 2 + 1 - 4 + 2 + (2 - 3 + 2)*(-3 + 1 + 4))*(11*a**4 - 13*a**4 + 44*a**4) to the form n*a + s*a**2 + g + x*a**4 + l*a**3 and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 460489 and 460542 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 70202 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.278 rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 900 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10948*w + 10950*w = -5*a - 37, -13 = -w + a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 762626 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 8580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i**3 + i**3 + i**3)*(-1 + 1 + 1) + (-i - 4*i + 2*i)*(22*i + i**2 - 22*i + (1 - 2 + 4)*(0*i**2 + 0*i**2 + i**2)).\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-3))\/((-2)\/6). Suppose i*d = 4*d + 8. Let q(o) = -o**3 - 3*o**2 + 3*o - 3. What is the units digit of q(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2308*g*w**5 + 2*g*w**2 + 13*g*w + 5*w**2 wrt w.\nAnswer: 138480*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -8, -3, -13, 5 in descending order.\nAnswer: 5, -3, -8, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (44 + -3)\/(8\/((-32)\/10)). Are u and -15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**3 + 4*s**3 - s**3 - s**3 - s + s + (-1 - s**2 + 1)*(-1 + 1 - 2*s) + 5*s**3 - s**3 + 2*s**3)*(-4 + s + 4)*(-48 + 51 + 54).\nAnswer: 513*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*h, -p - 2*h = -3*p + 36. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of m**3\/6 - m**2\/2 + 4*m. Suppose 2*u = -2, w + 5 - 6 = -5*u. Let h = w - 7. Determine t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**4\/7 - 52*o**3 - 734*o**2\/7 - 368*o\/7.\nAnswer: 2*o*(o - 184)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p**(1\/3)*p*p))\/(p*p**1))\/((p*p*p\/(p\/p**6))\/p*p**(-4)*p)*(p**2*p*p**(1\/6))\/((p*p**(-4\/5))\/((p\/(p**(-7)\/p))\/p*p)) assuming p is positive.\nAnswer: p**(169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 0*f = -5*z + 8, 2 = 5*z + f. Let j(x) = 9*x**3 + 16*x**3 + 4 - 5*x + z*x**2 - 31*x**3 + 2*x**2. Is j(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 2*f = 5*d - 35, 2*f = -5*d - 42. Let u = 42 - f. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 2*n + 7 = 0. Let l be 3\/(-6)*10\/1. Calculate the least common multiple of (-8)\/(-20) - 13\/l and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 14) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 7*w - 3. Suppose 0 = s + 4*b + 24, 8 = 4*s + 5*b + 82. Let c(l) = -36*l + 16. What is s*j(o) - 3*c(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of -68594 and 0.144.\nAnswer: -68593.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffoofoooffooo. Give prob of picking 1 o and 3 f.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10.789 and 0.07.\nAnswer: -0.75523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 29 - 16 - 6 - g + 35 in the form n + j*g and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2 - 1035*p + 1030.\nAnswer: 5*(p - 206)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 412*o**2. Let t(d) = -7283*d. What is t(j(u))?\nAnswer: -3000596*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 5*n**2 - 3*n - 8. What is the hundreds digit of k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 29761634 to the nearest integer?\nAnswer: 5455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -36523763, -36523762, -36523761, -36523760, -36523759, -36523758?\n\"Answer: j - 36523764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 9*c - 169. What is x(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 2:14 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -80230 + 158070. What is the ten thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 3 + -1 + -1 + -2 - (594 - 630)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 1.1  (c) 5  (d) -0.2  (e) -77\/6  (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 3*q**2 + q + 1. Let c be m(3). Let s be (c\/(-6))\/(1\/(-72)). Suppose 2*u = -2*u + s. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o**2 - 379192*o - 758376 = 0. What is o?\nAnswer: -189594, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum 524731 and -49.\nAnswer: 524682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -565295 + 5?\nAnswer: -565290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of 13*y**4 + 32*y + 2 + 0*y**2 + 151\/56*y**8 + 0*y**6 + 0*y**7 + 0*y**5 + 0*y**3. What is the third derivative of n(t) wrt t?\nAnswer: 18120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2\/17, 6, -2\/13, 42, -22 in decreasing order.\nAnswer: 42, 6, 2\/17, -2\/13, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p. Let g be k(4). Suppose 14 = 5*l - d, -3*l = -2*d + d - 10. Suppose -l*u + g = -0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7762*g**4*s - 944*g**3*s + 13725910*s wrt g.\nAnswer: 31048*g**3*s - 2832*g**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {m: 1, e: 1, b: 1, o: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 30*s - 49 = 28*s, 12 = q + 5*s. Let v(o) = -3*o**3 + 50*o**2 + 21*o - 55. What is v(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of g**6\/120 - g**5\/12 + g**4\/6 - g**3\/6 - 13*g**2. List the prime factors of r(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11114 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -0*a - a. Let t(s) = -s**2 + 4*s + 7. Let l be t(5). Let o be 18\/(-15) + l\/a. What is the second smallest value in o, 4, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -12  (c) 4  (d) -156145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 2:46 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (232\/4698)\/((-2)\/3).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 13.154 and 3.\nAnswer: 16.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21098 and 238.\nAnswer: 358666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from {v: 2, x: 1, j: 4, h: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -47 + 37 + -12 + 0\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 - 17*i + 142. Let y be r(13). Let b be (6\/(-27))\/((-50)\/y). Suppose -2\/5*l + 4\/5*l**3 + 0*l**2 + 0*l**4 - b*l**5 + 0 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/12 and 19\/1200.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-3))**49*(q\/q**(-3))**29)**(-14) assuming q is positive.\nAnswer: q**434","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 820679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -6 + 7 + 1 + 889*s + 5. Let h(d) = -d - 1. Let a(b) = 6*h(b) - 2*t(b). Let j be a(-5). What is j rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 47.39655 kilometers?\nAnswer: 47396550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 10*x**2 - 2*x + 1. Let n be b(-2). What is the third derivative of n*a + a**2 + 3*a**4 - 45*a wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(24))\/sqrt(12) + 4 - (-1 + (sqrt(200) - (sqrt(200) + 4 + sqrt(200) - sqrt(200)))**2)) + -1.\nAnswer: -12 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 1 - 8. Let p be 4 - ((-25310)\/g + 2). Let k = p + 2807. Find the common denominator of 31\/3 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 36\/14 - (10\/(-7) - -1). Suppose -i*j + 786 = 3*t, -t + 4*t = -2*j + 786. What are the prime factors of t?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*p = -90*p - 952. Sort -7, -3\/4, p in increasing order.\nAnswer: p, -7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 104, 3, 2.\nAnswer: -1, 2, 3, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 63 = y - 48, -3*c = 2*y + 26 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 12*s**2 + 2*s + 1. Let d be 2 + 0\/3 - 3. What is the tens digit of o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f + 7. Suppose -3*h - 2*d = -17, 0*h + 2*d = -4*h + 22. Let o be a(h). Let g = o + 2. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 63098 and 12.\nAnswer: 378588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -66.46 + 67. Let r = -0.59 + z. Which is the third biggest value?  (a) r  (b) 1  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2669\/4 - 667. What is the nearest to -2\/7 in -0.3, l, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 2.36. Let n = z - -0.2. Let k = n + 0.66. Sort k, -1\/6, 0.4 in descending order.\nAnswer: k, 0.4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 5*u**2 + 2*u - 7. Let b(p) = 173*p**2 - 60*p + 59. What is the remainder when b(1) is divided by a(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - 0 - (-8)\/12. Let u = -2.39 - -2.5. Let f = u - -3.89. What is the second biggest value in f, -1\/2, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6239416nm in kilometers?\nAnswer: 0.0000000000006239416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -273533*r**4 + 13204128*r**2.\nAnswer: -6564792*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*t = 151*t - 24520. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 24\/5?  (a) 0.06  (b) 0.5  (c) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*p - 3*p + p - 3*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -427 + 144 + 147 - 463*y + 139 to k + u*y and give u.\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.11 in 0, -8, -4, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (200\/(-95) + 2)*-6*7\/(-210)\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from eeleeeplegeeepeppee.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -7110*h + 1669*h - 1 + 5 - 2 as m + o*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 26074817 - 4?\nAnswer: 26074813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000010941 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n + 40287*n**2 - 13443*n**2 + n - 13450*n**2 - 13389*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence efn when three letters picked without replacement from fbfnennenfnfpnneb.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 2433593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = s - 14. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -183.1 + 183. Which is the third biggest value?  (a) -88  (b) 1  (c) n  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -232, -484, -734, -982, -1228, -1472?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 95601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 74, 94, 114, 134, 154?\n\"Answer: 20*u + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -818942, -818943, -818944, -818945?\nAnswer: -818946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*h + 2*h + 15. Suppose y - 3*c - 504 = 0, 3*y - c - 720 = 808. Let q = y + -2536\/5. Is h at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -97001\/14 + 6925. What is the common denominator of w and -121\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -460 = -2*t - 3*t. Suppose 0*i = 4*i - t. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 4*x + 41. What is o(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -74.02953147 to one decimal place.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.7 + -0.3. Let i = -0.2 - d. Let w = -0.004 - -0.504. Which is the third biggest value?  (a) i  (b) w  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13570 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16031 - 341*u + 16031 + 363*u.\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2508821?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12474221 is divided by 6236776.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 AM and 7:12 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 + 2*o**2 + 3*o - 3. Let t be y(2). Let q(r) = -r**3 - 2*r**2 - 8*r + 9. Let x be q(1). Which is greater: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2879*n**2 - 13483*n + 13483*n.\nAnswer: -2879*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*l - 12*l - 4*s - 11 = 0, s - 1 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -660*k + 1329*k - 663*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -287 (base 13) to base 7\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1469 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 195952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -4 + 3*r**3 - 10*r**3 + 3 + 2*r**2 + 6*r**3 - 8. Determine u(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 + 14. Let c be (g + 52\/(-20))*750. What is the units digit of c\/36 - 2\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -6  (c) 3\/5  (d) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32485770?\nAnswer: 2, 3, 5, 360953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 22*y**2. Let d(a) = 2*a**3 - 18*a**2 + 40*a + 23. Let i be d(3). Let q(l) be the second derivative of -i*l + 1\/6*l**3 + 0*l**2 + 0. What is j(q(m))?\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 - 4*j**2 - 7*j - 4. Let m = 381 - 373. Calculate the lowest common multiple of m and w(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4\/5, 0.5, 12, 2\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/3 - 3269122*t\/3 + 2671789662721\/3.\nAnswer: (t - 1634561)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 8 = -g, -15*h = -5*g - 10*h + 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1508 + -1505. Let s(d) = -d**3 + 7*d**2 - 2*d + 2. What is s(p)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 42334 + 3?\nAnswer: 42342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 616532103 to the nearest integer?\nAnswer: 24830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 3*z. Let w be u(-7). Let l = 35 + w. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13395 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2471 - -2486. Let b be 2 - (-1 + (2 - 0)). Suppose j = 2*z - b. Solve -4*f + 24 = -4*h, z - 2 = -2*h - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-142)\/((-1)\/((-375)\/42)). Let z = c + 1262. What is the common denominator of -1 + 64\/(-10) + 1 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9d (base 14) to base 7\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 298.8\nAnswer: 29.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2232 + 2318. What is the remainder when 181 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*n**2 - 2*n + 4\/3.\nAnswer: 2*(n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + (-2)\/4)*2. Suppose 0 = -g*b - 3*m, -3*m = 4*b - 4 - 0. Solve -b*a = -0 + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at most 163\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s + 20 = 2*g + 8*s - 38, 0*g + 2*g - s + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 207 and 1311.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/60*(-15)\/2. Which is the smallest value?  (a) l  (b) -6  (c) 2  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 143 - 135. Let v(d) = -d**2 + 17*d - 27. Let f be v(y). Find the second derivative of -27*n - f*n**4 - 30*n + 15*n + 0*n wrt n.\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 0.06  (c) 0.4  (d) 1\/53  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z, 1 f, and 1 w when four letters picked without replacement from tzwfctfwzfcztffffft.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 7:51 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*4\/152)\/((-612)\/(-612))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*q + 486, 2*q - 120 = 3*r + 374. Suppose 0 = 246*j - q*j - 8. Which is the second biggest value?  (a) 11  (b) 3  (c) -3  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 12488826 - 12488826 - 2*q. Let a(k) = 16404*k. Give a(c(n)).\nAnswer: -32808*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 93, 100, 111, 126?\n\"Answer: 2*l**2 + l + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 153313 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 27\/(-18)*8\/(-6). Suppose -3*a = -2*a - 4*i - 18, -2*i - 100 = -4*a. Suppose -p + 70 = 4*w, -v*w = 3*p - 7*p - a. Is 17 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 4 + -1*sqrt(684) + -2 + (sqrt(190) + (sqrt(190) - sqrt(190)*-2) + sqrt(190))\/sqrt(10))*6.\nAnswer: -6*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*x - 68 + 59 + 171 = 0. Factor 14\/5*d**4 + 26\/5*d**x - 8\/5*d - 6*d**3 + 0 - 2\/5*d**5.\nAnswer: -2*d*(d - 4)*(d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/2*(-25)\/(-175)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {y: 1, c: 4, h: 2, j: 4, x: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-144)\/84)\/(2\/(-5894)). Suppose 0 = 2*m + 694 - d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 75a0e (base 16) to base 3\nAnswer: 220110220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, -146 in ascending order.\nAnswer: -146, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7377 - -7354. Let c(y) = -y**2 - 27*y - 30. Calculate c(p).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.34 + -0.13. Let y = -29471 - -29471.5. Put -0.5, n, y, -5 in descending order.\nAnswer: y, n, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5, 15, 47, 113, 225, 395, 635?\n\"Answer: 2*j**3 - j**2 - j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.06*-30882.86\nAnswer: -1852.9716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, w: 2, n: 1, f: 1, y: 1, i: 1}. What is prob of picking 1 f and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -257769*o**2 + 187*o - 3832?\nAnswer: -515538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 521436, 1042879, 1564326, 2085777, 2607232, 3128691?\nAnswer: 3650154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**2 + 2*n**2 + n**2 + (-1 - 1 + 1)*(3*n**2 + 3*n**2 - n**2).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -19 + 11 + 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 - 2 + 2)*(-3 + 3 + 3)*(-2 + 5 + 0).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 1175 divide 2688400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*q - 2*q + 2*q + (0 + 1 + 2)*(-q + 0*q - q) - 1 + 1 - 2*q - 4*q - 15 + 3 + 9 + 8 in the form x + u*q and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away 655221048?\nAnswer: -655221048.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of 0*g**3 + 1\/42*g**7 - 1\/4*g**4 + 0*g**5 + g**2 + 0*g + 0 + 0*g**6. Find the second derivative of l(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/18*2\/10. Let v = 7\/36 + o. Which is the biggest value?  (a) v  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/v**30*v**(-28)*(v\/(v\/(v\/(v\/(v\/v**(1\/4))))))\/v**(-5\/2) assuming v is positive.\nAnswer: v**(-215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5.62 or 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 5*o + 18 = 0, -5*u + 2*o + 1165 = 1162 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 take away 3700522?\nAnswer: -3700562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (6 - 3) + (-3 - 7) + -17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n**2 + 20*n + 10. Let j(a) = -4*a**2 + 43*a + 21. Let x(u) = -3*j(u) + 5*l(u). Calculate x(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3614086ug to kilograms.\nAnswer: 0.0000000003614086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 24 + 15 = 0. Suppose g + 4 = 0, 2*g = -r*c + 6*g + 247. Calculate the remainder when c is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of 143*m**4\/12 + 431*m**3\/2 + 1916*m**2. What is the derivative of w(t) wrt t?\nAnswer: 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.16, 3, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 2*s + 3)*(0 + 5 - 2) - 2*s - 6 + 9 - 8*s to the form h + t*s and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v**3 + 10*v**2 - 5*v + 7. Let z(w) = -5*w**3 - 20*w**2 + 11*w - 15. Let r(a) = 7*c(a) + 3*z(a). Let m = 1 + 8. Is r(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 270, 2237, 7576, 17973, 35114, 60685, 96372?\nAnswer: 143861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -2*x**2 - 18*x - 50. Let i be y(-8). Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*a - 9*a - 114*a - 2200 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*z - 10 = 0. Let u be z - 1 - 22\/20. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 647004363 to the nearest integer?\nAnswer: 25436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/40498111 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2645\/(-2070)*261\/(-58).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 44*-0.53\nAnswer: -23.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(8\/5))**(-9\/10) assuming h is positive.\nAnswer: h**(27\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/416268 and -19\/34689.\nAnswer: 416268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {r: 1, s: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 194700832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3  (b) 0  (c) 4  (d) 0.13  (e) -137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -1844?\nAnswer: 184.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3 - 42*r**2 + 882*r - 3430.\nAnswer: -2*(r - 7)**2*(r + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*l**2 - 17*l**2 + 4*l + 39 + 20*l**2.\nAnswer: 7*l**2 + 4*l + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12581246.\nAnswer: 2, 53, 118691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l + 14. Let d = 9 + -4. Let o be r(d). Let i(w) = 2*w**3 - 24*w**2 + w - 17. Let j be i(12). Put o, j, 0 in ascending order.\nAnswer: j, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l + 9. Let u(d) be the second derivative of -d**3\/6 - 5*d**2\/2 - 23*d. Give -3*f(q) - 5*u(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + 6. Let p = 6 + i. Calculate the greatest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1964 != -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -59*p - 19. Let d(h) = -3*h + 5. Determine -4*d(k) - l(k).\nAnswer: 71*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of -6*h**7\/7 - 2*h**3\/3 - 10. What is the third derivative of o(a) wrt a?\nAnswer: -720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*g**4*m**2*z**2 + 154*g**3*m**2 + g**2*m**2*z**2 - 2*g**2*z**2 + 3*g**2 + 387*m**2*z**2 wrt g.\nAnswer: -48*g*m**2*z**2 + 924*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 556 + -573. Let c(m) = 2*m**3 - 7*m**2 + 8. Let d(a) be the third derivative of -a**6\/20 + a**5\/3 - 23*a**3\/6 - 4*a**2. What is i*c(q) - 6*d(q)?\nAnswer: 2*q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 3*v**2 - 3*v + 1. Let w be a(-2). Let h = -3 + 2.5. Let k = h - 2.5. Put w, k, -2\/9 in descending order.\nAnswer: w, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-17)\/z**(-10\/13)*z**8*z*z*z**22 assuming z is positive.\nAnswer: z**(205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 686.3009 rounded to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4114, -3735, -3420, -3169?\nAnswer: -2982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 766231004?\nAnswer: 2, 7, 11, 17, 61, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from whdvfww. Give prob of picking 3 w and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -43 - 16*z - 52 + 71. Let u = -23 - -17. What is the tens digit of m(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.9 - 3.1. Let b = -32\/39 - -2\/13. Sort b, a, -4\/5 in ascending order.\nAnswer: -4\/5, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -48\/3091?\nAnswer: -48\/3091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 1. Let x = 65 + -64.04. Let r = -0.66 + x. Which is the nearest to -1\/4?  (a) -0.5  (b) r  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, w: 1, l: 1, n: 1, u: 1}. What is prob of sequence nk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*d - 88*d = -254*d - 416 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 2*z**3 + 3*z + 14. Let m be i(0). Let t be (-36)\/m*1316\/141. Which is bigger: -45\/2 or t?\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wjrnwrno. What is prob of picking 2 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86 + 49 + 4*a**2 - 3*a**2.\nAnswer: a**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 71\/3 in 4, -305600, -0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 537*n**3 + n - 232 wrt n.\nAnswer: 3222*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 144 - 129 = -38*u. What is the remainder when u is divided by (-81)\/(-12) + 2\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggbw when four letters picked without replacement from wwwwwgswsswsbwg.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 5. Let c(y) = y**3 + 8*y**2 - 6. Let l be c(-5). Let s = -66 + l. Put 12, r, s in decreasing order.\nAnswer: 12, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jzjjzjjzjj. What is prob of picking 2 j and 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -5. Let u be l - (1\/(-1))\/(-1). Suppose -7 + u = -x. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((-5 + sqrt(33)\/sqrt(3))**2 + -5 - ((3 + sqrt(55)\/sqrt(5))**2 + 5))*5.\nAnswer: -80*sqrt(11) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 0. What is the units digit of 44\/4 + -1 + r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1007 divide 14112543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 6 - 6769*r + 2*r**2 + 5.\nAnswer: 2*r**2 - 6769*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 5*g**3 + g**2 + g. Let z be f(-2). Let a = -3 - z. Let o = a + -34. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/5  (b) -3  (c) 1  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xzx when three letters picked without replacement from zxxjzjzjj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -5*d - 6*d**3 + 4*d + 4 + 7*d**3 - 2*d**3. Let g = -38 + 38. Calculate s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-32)\/1080 - 0)*(-9)\/(108\/160). Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5261016 divided by -2676\nAnswer: 1966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - (1 - 6\/1). Let d(s) be the first derivative of 5\/3*s**3 - 6*s + 9\/2*s**2 + 82 - 1\/4*s**4. Calculate d(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97 + 42 + 5351*r**2 - 5349*r**2 + 55.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t + 16 = 2*s - 12*t, 4*s + 4*t + 16 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3003, -6006, -9009, -12012, -15015?\nAnswer: -18018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1035 = 3*f - 93. Let o be (-3 - 18\/(-8))*-96. Suppose 4*j + 4*r - 308 = o, 0 = 4*j + 2*r - f. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of x**7\/525 - x**6\/300 - 2*x**5\/75 + x**4\/15 + 24*x**2. Factor i(w).\nAnswer: 2*w*(w - 2)*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5\/3 - (-4)\/(-6))*-42. Let t = 273 + a. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -196*g. Let u(b) = 2*b. Calculate u(s(t)).\nAnswer: -392*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42559 and 6996.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i - 3. Suppose a - f = -1 - 8, 3*a + 2*f = -2. Let m = -2 - a. Let y(j) = 2 + m - 2*j + j. Give 4*s(h) + 3*y(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**2 + 1432780*g + 256607316050 = 0. Calculate g.\nAnswer: -358195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*k + 11*k = -3*r + 5430612, k - 7240796 = -4*r. Suppose f - 15*f - r = 0. What is f rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -120652 times -3?\nAnswer: 361956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 226784 and 5222?\nAnswer: 1587488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4568\/6852 - (-2)\/(264\/(-82)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -5*t**2. Let w be q(1). What is the remainder when w*(235\/(-25) + 4) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18680?\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101100011111110110 + -1100101110?\nAnswer: 101100010011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2090762.782 and -5414.\nAnswer: 2085348.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c - 2. Let o be p(-10). Let l be 6210025\/9 - (-4)\/o. Suppose 3*h = 3*r + l, -4*h - 2 = -6. What is r rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -0*w + 13*w. Let v = -5611 + 72988\/13. Let y = v + -173\/65. Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-9)*t\/t**31)**(-3))**(-2\/5) assuming t is positive.\nAnswer: t**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*r - 386 - 391 = 75*r - 726 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = 5*d. Suppose -h = -d*h - 6. Suppose 0 = -2*m - 4*m + 36. Calculate the highest common divisor of h and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1976.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - p + 164 + 1084 = 0, 2*p + 1248 = 3*s. Calculate the highest common factor of s and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-3\/2)\/b**(-3))\/(b**(-1)*b*b**(-6)*b) assuming b is positive.\nAnswer: b**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 5) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1195 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 0 - 3\/2*s - 1\/2*s**2 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -5*t + 7. Suppose -2*f = 2*z - 2, -9 - t = -2*z + 5*f. Suppose u - 6 - 16 = -5*w, -2 = w - z*u. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -19.5 and 255147.\nAnswer: -4975366.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21777 and 421449.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -12*q + 2. Determine w(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 205 divided by -11?\nAnswer: -205\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 311401 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/7 + 1809\/63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f. Let v(n) = n + 2. Let c(k) = -2*b(k) + v(k). Suppose -2*s + 6 = -5*s. Let o be s\/(-12)*3*10. Let a(m) = -m + 3. What is o*c(l) - 3*a(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -227 in -15, -0.2, -2, 1, 0.1, -0.5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-6))\/(31\/(-62)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7571\/(-1130) + 6)*-70.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3662 divide 83801208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -787 - -783. Let k(l) = -l - 6. Let g(i) = -7. Calculate o*g(h) + 5*k(h).\nAnswer: -5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.135 * -5.17356.\nAnswer: -5.8719906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 131, 1, -11\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 12 = x. Let g be ((-2)\/(-3))\/(4\/x). What is the units digit of (3 + -3)*g + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.151 - 73.4765103\nAnswer: -75.6275103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrnrrrnr. Give prob of picking 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**2 + i**2 - 2*i**2)*(-705*i**2 + 371*i**2 - 1174*i**2 - 365*i**2 - 60*i**2).\nAnswer: 1933*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 - 27. Let i(q) = -t + 7 - 5 + q**2. Let j(x) = -4*x. What is j(i(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -336729993*r**3 - 16607*r**2 - 2284*r.\nAnswer: -2020379958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15266359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 32976\/(-1879632) + (-1 - 4064\/(-4218))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -141 + 949*g + 141 + 798*g as h + b*g and give b.\nAnswer: 1747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 + 44 + 13*j + 44 - 74. Let z be g(-12). Let u be (-36)\/9 - (-2)\/(z\/9). Solve -x - 2*p - u = 0, 2*x = -3*x - 3*p - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1306 - 199.8694. Is 2\/3 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 5*j - 11. Let c = -540 - -553. Let o be k(c). What is the greatest common divisor of 90 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of 0*r + 2\/3*r**3 + 0 - 1\/6*r**4 - 2*r**2. Let c(q) = -7*q + 7. Let m be 480\/90 - 4\/(-6). Determine m*c(w) - 11*s(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g - 2. Let w(z) = 2*z + 5. Let x(v) = 4*w(v) + 10*y(v). Let o(a) = -3*a + 3*a - 2*a. Let p(t) = t. Let l(n) = -3*o(n) - 5*p(n). What is l(x(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -27 and -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4952 is divided by 44.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 9582 = 2*s, -16 = -10*z + 6*z. What are the prime factors of s?\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7\/116 or 0?\nAnswer: 7\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -38163 divided by 140\nAnswer: -38163\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 9243.18671 to the nearest ten.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-96)\/(-72))\/(-2*(-1)\/1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 3\/7, 3, -37, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -8, -28, -64, -116, -184, -268?\n\"Answer: -8*m**2 + 4*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 491\/1264 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -217\/184 - 16\/23. Which is bigger: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of h**3\/2 + 109*h. Let f(v) = 115*v. Determine j(f(n)).\nAnswer: 345*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -40 - -43. Suppose 4*f + 3*q = 437, -2*f + 69 + 154 = -o*q. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/43, 0, -1\/4 in decreasing order.\nAnswer: 0, -6\/43, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1cc (base 14) to base 8.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 AM and 1:46 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -72484 + 133016. List the prime factors of q.\nAnswer: 2, 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -726571 (base 8) to base 3\nAnswer: -110020121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35322 is divided by 483?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*l**2 + 478285*l + 1625880 = 0.\nAnswer: -19128, -17\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 + 7*d**2 + 41*d + 30. Let o be x(11). Is o less than or equal to -1767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 21 = 3*i. Suppose 4*q = 3*x - 70, i*x = 3*x - 4*q + 56. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -38*q**4 + q**4 - 1275*q**3 + 1341*q**3 + (0 + 2 - 3)*(4*q**4 + 0*q**4 - 3*q**4).\nAnswer: -38*q**4 + 66*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -329. What is the highest common divisor of 703 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45471 - -45529. Let d(b) = -b**2 + 7*b + 6. What is the remainder when l is divided by d(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-14)\/4)\/((-4)\/(-8)). What is the units digit of v\/1*(0 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -q**2\/2 - 141. Let s(f) = 9*f**2 - 3. What is p(s(t))?\nAnswer: -9*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 47*s**2 - 104*s + 144. What is i(49)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25 (base 7) to base 2.\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 3 - (8 + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3115 by 11.\nAnswer: -3115\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 4*v - 7*v. Suppose -14 = 4*w + v. Which is greater: w or -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 11*r - 4. Let n be o(7). Suppose 12*t + n = 8*t. Let d(g) = g + 7. Give d(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18334 + -12297. What are the prime factors of n?\nAnswer: 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**2. Let k(j) = -38763*j + 3577. Let z(b) = 152*b - 14. Let r(l) = 6*k(l) + 1533*z(l). Give f(r(q)).\nAnswer: -383688*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = 3*s - 29, 98*x - 25 = 93*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -26*u**3 - u**2 + 1. Let w(h) = -h - 2. Let g be w(-1). Calculate the remainder when s(g) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5517 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of 3*x**8\/560 + 13*x**4\/24 + 7*x**3\/2 - 14*x. Let b(y) be the second derivative of f(y). Differentiate b(n) wrt n.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.37383957 to two dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5085, 10163, 15241, 20319, 25397?\n\"Answer: 5078*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 1:03 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 82, 172, 274, 394, 538, 712, 922, 1174?\n\"Answer: k**3 + 83*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 203\/2*(80 + 1)*2. Let b(y) = y - z + 16443. Let x(p) = -4*p + 4*p + p**2. Calculate b(x(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001337386537 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7.2837 + 0.0863. What is j rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*((-320)\/15)\/8. Solve 0*r = -4*r + 3*u + a, 2 = r + 5*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*12\/9 - 4. Suppose k = -a + 5*a - 1084. Suppose -11*j + a = -1368. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uvcddvcfpvfvdp. Give prob of picking 1 u and 1 p.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b3 - -b2593a?\nAnswer: b25847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/3383060 and -143\/6089508.\nAnswer: 30447540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z**3 + 3*z**2 + 3*z + 2. Let c be i(3). Let q = 51 + c. Solve -5*j + 10 = 0, u - 4*j = -1 - q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13197867467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*r + 2*c, 3 = -r + 2*c - 1. Solve -2*w + 3*d + 1 + 12 = 0, 9 = w - r*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/432 and -49\/4110534.\nAnswer: 32884272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -3*x - 5. Let m be j(-3). Suppose 2*p - m = 2*f - 3*f, 5*p - 10 = -3*f. Find the third derivative of 2*i**4 + 6*i**p - 74 + 74 wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 + 31*u**2 - 526*u - 369. Determine x(-43).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 5, x: 9}. Give prob of picking 1 x and 2 y.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 620392.\nAnswer: 2, 77549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/11  (b) -462  (c) -0.07  (d) 1  (e) -0.3  (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6a6d + 3?\nAnswer: -6a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-6))\/((-133)\/(-66) - 2). Let c be (-33)\/q*(-4)\/3. What is the second derivative of 2*h**c - 51*h + 13*h + 6*h**2 + 25*h wrt h?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 14*s - 201. Let g be r(23). Suppose -114*c + g*c - 931 = 0. List the prime factors of c.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1100483 (base 15) to base 14\nAnswer: -1884303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {a: 3, e: 4, v: 1, f: 6, d: 1, x: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7\/14 + 1\/(-2) + -3. What is the nearest to 1\/4 in -0.4, -0.5, j, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s**3 - 11*s**2 - 7*s - 12. Let n be b(-5). Let w be (5\/n)\/(15\/(-30)). Solve 0 = -q + w*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*f**4 - 3*f**4 + f**4 + (-2*f**3 - 3*f + 3*f)*(-2 + 2*f + 2) - 6*f**4 + 4*f**4 + 13*f + 8*f.\nAnswer: -4*f**4 + 21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5172435 + -3?\nAnswer: -5172438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3\/2, 86.\nAnswer: -3\/2, 0, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -15*k**2 - 8*k + 4. Let v(b) = 9*b**2 + 7*b - 3. Give 7*h(i) + 8*v(i).\nAnswer: -33*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of k**6\/120 + 7*k**5\/60 + k**4\/8 - 2*k**3\/3 - 9*k**2. What is the remainder when o(-3) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 4*a**2 - 8. Let o(i) = 6*i**2 - 15. Give -5*c(t) + 3*o(t).\nAnswer: -2*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 98 + -687\/7. What is the closest to -0.1 in n, 2\/5, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24 - (-5)\/((-140)\/(-16))*6090\/348\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 11:56 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -1.84?\nAnswer: -0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzthgttzzztt. Give prob of picking 1 z and 3 t.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2 - 11*a + 12.\nAnswer: -(a - 1)*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 152*y + 1212. Let f be h(-8). Sort 4, -13, 0, f, 1 in descending order.\nAnswer: 4, 1, 0, f, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2482 = -643*y + 716*y for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 7:03 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 534640788 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 181567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2a5ac3 + 5?\nAnswer: -2a5abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -147*j. Let n(y) = -6*y**2 + 354*y - 13. What is n(f(t))?\nAnswer: -129654*t**2 - 52038*t - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49 + 23 - 16*a + 26 to the form o*a + n and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4757 - 4718. What is the highest common divisor of z and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15475927?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 13*m + 1. Suppose s + 2*c = -c + 3, 3*c + 3 = -3*s. Let v(j) = 6*j. Let r(o) = s*l(o) + 7*v(o). Differentiate r(f) wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3 + t**2 + 3*t - 2*t - 2 - 8*t. Let n be z(7). Solve 4*s + 18 = 3*g - n, 18 = 3*g - 3*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2546294984 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.12 and -7993.\nAnswer: -959.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 40, 99, 154, 205?\n\"Answer: -2*h**2 + 65*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 167840416 to the power of 1\/2, to the nearest integer?\nAnswer: 12955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 270559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 16260 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 702841903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + 2414*n + 7. Give k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -641*b**3 - 2505 - 2502 - 2507 + 10028 - 2514.\nAnswer: -641*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the third derivative of 0*x**6 - 19\/336*x**8 + 0*x + 0*x**7 - 36*x**2 + 2\/3*x**4 + 0*x**5 + 0 + 0*x**3. Find the second derivative of d(a) wrt a.\nAnswer: -380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -52 and -30.952077549.\nAnswer: -82.952077549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*o**3 - o + o)*(0*o + 3*o - 2*o) - 29*o**4 + 64*o**4 - o**4 to b*o**2 + t*o**3 + x*o**4 + g*o + z and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 45 - 12. Suppose n = 10 - 6. Suppose -s = -n*y + 47. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 2 - 6*u**5)*(25 + 46 + 137 + 2 - 2 + 2 + (2 - 1 + 1)*(2 + 0 - 1) + 1 + 1 - 3).\nAnswer: -1266*u**5 - 422","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*l + 2*t, -4*l + 2*t + 4 = -2*t. Let d be 1\/l - 57\/(-12). Suppose 3*r + 53 = 5*k + 23, 5*k - d = -2*r. Put -0.1, 0.1, k in descending order.\nAnswer: k, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (81585\/38073)\/(15\/273).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 - 2. Let x be 1*(-5 + 4 - 0). Let o = 1 - x. Calculate z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 75*d**2 - 6*d. Let u(k) = -38*k - 4. Let r(q) = 18*q + 2. Let w(m) = -2*r(m) - u(m). What is w(z(h))?\nAnswer: 150*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - -14. Suppose 3*r - 116 - s = 0. Suppose 0 = 3*i + 2*p - 114, 2*i + 4*p = 38 + r. Calculate the remainder when 178 is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-108)\/(-16) - (-15 + 22)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(3\/11)*l*l)\/(l**17*l)*(l\/l**16)\/l**(-19) assuming l is positive.\nAnswer: l**(-107\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 18041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 4, u: 4, h: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 - 9*z**2 + 9*z - 11. Let r be (-80)\/(-3)*72\/32. Suppose -57*w + r*w = 24. Give d(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/382 and 81\/5348.\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 6*v + 7. Let d be j(7). Let q = 98 - d. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -638.9 * 3\nAnswer: -1916.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 1)*(3 - 5 - 1)*(5*l - 5*l - 3*l**3) to the form n*l**2 + p + c*l**3 + a*l and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -4*o**2 - o - 2. Let k(r) = -13*r**2 - 4*r - 6. Let f = 15317 - 15313. What is f*k(d) - 14*q(d)?\nAnswer: 4*d**2 - 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f**3 + 16*f**2 + 5*f + 53. Calculate n(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2495711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 607870356 divided by -4717\nAnswer: -128868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(405) - (sqrt(405) + -1)) + 4)**2 + (sqrt(90)\/(-2*sqrt(2)))\/sqrt(9).\nAnswer: -sqrt(5)\/2 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 8.8 times -0.1\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 - 0. Let n = 1.55 + -0.25. Let i = -0.8 + n. Which is the biggest value?  (a) -1  (b) i  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2149, -4278, -6371, -8410, -10377?\n\"Answer: 3*p**3 - 2150*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -79 - -82. Suppose 5 = -m*o - 19. Let k(v) = -4*v. Let h be k(o). What is the greatest common factor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 + 0\/11)\/((-2)\/(-4)). Let n(x) be the second derivative of -b*x**3 + 0*x**2 - 3\/4*x**5 + 0 - 9*x + 1\/10*x**6 + 2*x**4. Solve n(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20892 + -12997. What are the prime factors of l?\nAnswer: 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 160596 or 1766568\/11?\nAnswer: 160596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1054 and 213218?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhxxxxqqxqqqqqx. Give prob of picking 1 q and 2 x.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*y + 1 - 1 + 48*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*a - 7*a**3 - 4*a**3 - 9*a + 7*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 268291350 and 675.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22879 - -160156\/7. What is the biggest value in 0, 14, w, -160?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (490*k**3 - 152*k**3 + 863*k**3)*(3 - 4 - 1) as q*k**2 + t*k**3 + m*k + i and give t.\nAnswer: -2402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -7*q**3 + 5*q**2 + 7*q - 5. Let z(v) = 4 - 5*v - 4*v - 2*v**2 - 2*v**2 + 3*v + 6*v**3. Determine 4*h(t) + 5*z(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*(0 - -2)\/2. Let d be y\/(1 - 12\/10). Let w be (2 + d)*4\/(-6). Calculate the greatest common divisor of w and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = t - 0*t. Let b be (-6)\/(-3) - t\/1. Solve b*w + 7 = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39 - 1. Let c = -45 + w. Put 2, -3, c in descending order.\nAnswer: 2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*d = 33*d - 44. Suppose 3*u - d = -4. Suppose u*v - 5*v - 141 = 0. Does 34 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -5) + -24 - (-88 - -89).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1.4, 18, 0?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (6*(4 + (sqrt(475) - (sqrt(475)*2 - sqrt(475)))))**2.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16109 and 1662123.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22\/17*w - 2\/17*w**2 + 24\/17 = 0 for w.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57777?\nAnswer: 3, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10872, 23431, 35988, 48543?\nAnswer: 61096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19877 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 9865000 to the nearest 100000.\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*h**4 - 1722914*h**2*k + 127*k - 39470 wrt h?\nAnswer: 20*h**3 - 3445828*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3318 and 801066.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -5*f - 19, 10*d - 21*d + 2*f = -10*d - 3 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - -100000100001011?\nAnswer: 100000100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15808520 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -894, -1779, -2666, -3555, -4446?\n\"Answer: -z**2 - 882*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.9 - 3.4. Put -2\/7, b, 0.3, -2 in descending order.\nAnswer: b, 0.3, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-6) - (-166)\/(-6). Let h = y - -13. Let q be (h\/6 - -2)*-2. Calculate the highest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**3 - 13*n**2 - 8*n + 37. Determine v(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - -6) + 4 + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*m + 105 = -80*m. Calculate the greatest common divisor of m and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1827, 1662, 11129, 29562, 59949, 105278, 168537?\n\"Answer: 498*v**3 + v**2 - 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-10)\/2)\/5*1)\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20 - -30. Let z(g) = g**2 - 11*g + 12. Let m be z(i). Let w = -22 + 328\/15. Which is the biggest value?  (a) m  (b) -0.5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 + -2)\/((-3)\/48 - 0). Let w be (8 - 69\/12)\/(1\/l). Let r(x) = -16*x**2 - 18. Let o(z) = -z**2 - 1. Calculate w*o(u) + 2*r(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 208 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*g + 10209286 = 67*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3702966 decades in millennia?\nAnswer: 0.003702966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1079*j**2*x**4 - j**2*x**3 + 7*j**2*x - 2*x**4 - 237*x**2 wrt x?\nAnswer: 25896*j**2*x - 6*j**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*r + 3*h + 51 = 0, -3*r + 5*h + 47 - 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -24*b + 10. Let z(h) = -24*h + 11. What is -5*f(c) + 4*z(c)?\nAnswer: 24*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 16477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 6*f**3 + 25*f**2 - 240*f + 541. Calculate y(4).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -141 + 141. Solve 3*d + 3*d - 12 = f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 + 2*b + 10228. Let d(p) = p. What is z(d(q))?\nAnswer: -q**2 + 2*q + 10228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 2*j + 5. Suppose -j*w + 345 = -3*a + 6*a, -3*a + 372 = -4*w. Let q be (1\/4)\/(9\/a). Is 4 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 + 1)\/(612\/(-56) - -11). Let q(d) = 3*d - 5*d + r*d + 0 - 5. Let s(z) = 11*z - 4. Give -5*q(x) + 6*s(x).\nAnswer: 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14943220?\nAnswer: 2, 5, 747161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of -z**4\/4 + 8*z**3\/3 + 6*z + 2. Suppose 32 = 11*c - 45. Calculate the remainder when l(c) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sgsgsssgsggsg. Give prob of picking 1 g and 3 s.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)*1*1 - sqrt(21) - (2*(sqrt(21) - (sqrt(21)*1 + sqrt(21))) + sqrt(21)))\/(-4*sqrt(75)*-4).\nAnswer: sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, u: 12}. What is prob of sequence uu?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -0.1  (b) -0.2  (c) 5  (d) -2\/13  (e) 49  (f) 1123\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4065, 8259, 12457, 16659, 20865, 25075, 29289?\n\"Answer: 2*o**2 + 4188*o - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3*q**2 + 61*q + 5. Let i be b(13). Let s = 283 - i. Sort s, 5, 7, -2.\nAnswer: s, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 517 and 517?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -74 - -203. Let b = z + -64. Suppose -4*k + 156 = 4*t, 2*t - 151 = -2*t - 3*k. Calculate the remainder when b is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -34 at least as big as -11881\/343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -25 + 23. Let j(d) = -7*d**2 - 17*d - 8. Let c(h) = -15*h**2 - 35*h - 15. Let y(u) = o*c(u) + 5*j(u). Factor y(q).\nAnswer: -5*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -250*f**3 - 2*f**2 - f + 35. Let r(t) = -252*t**3 - 2*t**2 - 2*t + 37. Let g(q) = 2*o(q) - 3*r(q). Find the second derivative of g(b) wrt b.\nAnswer: 1536*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 60.1 - 57. Let i = -0.1 + q. Let s = -2.6 + i. Which is the closest to 2\/5?  (a) 0  (b) 4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) -2.7  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*w**2 - 1 - 7 + 8.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 12. Suppose 4*c - c - g = 0. What is the units digit of (10\/3 - c)*87?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 2*u + 5 = -3, 0 = u - 2. Let n = 1356 - 1356.06. What is the closest to 13 in -0.1, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 661043469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 - -240. Let a be (-1)\/((-214)\/v + 1). Let h = -71 + a. What is the remainder when h is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1624489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - (-3 + -10 + -40)) + -14.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - n - 4 + 0*n - 9*n**3 in the form p*n**2 + z + i*n**3 + c*n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -8 + -4 + 4 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zjzv when four letters picked without replacement from {z: 2, k: 4, g: 6, v: 3, j: 2}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -532.\nAnswer: 1\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -47626*a**3 + 93457 wrt a.\nAnswer: -142878*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 740 and 666?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -77 - 3*z**3 + 9*z + 45 + 137 wrt z.\nAnswer: -9*z**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 PM and 9:49 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 23933177453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.01 * 63.2.\nAnswer: 0.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five sevenths of a week in days?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/1332*-4)\/(131\/6). Let l = 387732\/33929 - w. Factor -2\/7 + l*p**3 - 16\/7*p - 50\/7*p**4 - 12\/7*p**2.\nAnswer: -2*(p - 1)**2*(5*p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**2 + 131078*v + 10236252 = 0 for v.\nAnswer: -78, 65617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 947299 is divided by 12448?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v = 10*v + 12. Let n = v - -8. Let u be (-4)\/(-18) - (-322)\/9. Calculate the highest common divisor of n and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of -x**4\/12 - x**3\/3 + 3*x**2 + 46*x. Determine z(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5850 divided by 15\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -6*z - 3*z + 3*z. Let v(r) be the second derivative of -r**3\/3 - 27*r. Give v(a(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 2*l - 33, l - 2*l = 2*d + 86. Let m = 72 + d. Solve -2*c - 33 = 3*a + 2*a, 4*c + m = -3*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2427 - -2423. Sort -14, u, 2, -1, 13.\nAnswer: -14, u, -1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -8*t**2. Let q(a) = 13*a - 10. Let n(v) = -6*v + 5. Let y(d) = 5*n(d) + 2*q(d). Let c(s) = 2*s - 2. Let g(o) = 5*c(o) + 2*y(o). Determine i(g(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1530\/25 + (-8)\/(-10). Suppose -2*l - y = -l - p, 180 = 3*l - 3*y. Suppose -8*n = -l - 67. What is the remainder when 31 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in -4, 4523, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3089649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 4*r + 20 = 0, -3*l - l - 16 = 3*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 4:48 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 586339430 divided by 5?\nAnswer: 117267886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 6*b**2 - 3*b + 2. Let m(l) = -14*l**2 + 4*l - 6. Let n(s) = 5*f(s) + 2*m(s). Calculate n(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 9594.53 hours?\nAnswer: 575671.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 11*r = 3*y - 12, -5*r + y = 4. Let j(g) be the first derivative of 0*g**2 + r*g - 1\/6*g**4 - 4\/9*g**3 + 5. Determine m, given that j(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 63291, 253157, 569595, 1012611, 1582211?\n\"Answer: y**3 + 63280*y**2 + 19*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -11*c**2 - 3*c - 3. Let t be g(3). Let l = 7 + t. Is 26 a factor of (l\/(-6))\/((-4)\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.053176 rounded to three dps?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 100212151 + 5?\nAnswer: 100212156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**3 + 4*f**2 - 4*f**2)*(-4*f + 3*f + 2*f) + (-15 + 15 - 2*f)*(f**3 - 2*f**3 - 2*f**3) - 2*f + 2*f + 2*f**4 + 1 - f.\nAnswer: 10*f**4 - f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1008\/35532)\/((-2)\/(-3)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3738913365 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 198441331 to the power of 1\/2, to the nearest integer?\nAnswer: 14087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(3))**2*3*-2 + -1.\nAnswer: -43 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, j: 13, x: 3}. What is prob of picking 2 j?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 - 15*t**2 + 3*t - 35. Let m be x(15). Let b be (1 - m)\/3 + 7. Solve -y + 15 = 5*r, 5*y + 4 = y - b*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6281+1\nAnswer: 6282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*s + 4415 = -28*s + 5*z, 0 = -4*s + 5*z + 3523. Suppose 0 = 43*j - 2988 - s. Do 93 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -53885 - -1077191\/20. Let o = r + 97\/4. Let q be -2 - ((-392)\/182 - (-2)\/13). Which is bigger: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven fifteenths of a minute in seconds?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -5608.37 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b**3 + 188*b**2 - 66*b - 167. Is m(-61) a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 357  (b) -1.2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in -3\/10, -5, 0.06, 4, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2299)*3 + 0.\nAnswer: 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*m = -129*m - 546 + 3266. Solve 5*v = m*j - 28*j - 6, -5*v - 7 = -3*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 96881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 953*m**3 + 23*m - 954*m**3 + m**2 - 25*m - 30 to the form l*m + o*m**3 + c + w*m**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 * -2339\nAnswer: -1403.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 2. Suppose z*r = 5*r - 16. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/6 - 847\/(-33). Let f = -27 + x. Suppose -2*a + 3*v + f*v - 7 = 0, -25 = -5*v. Calculate the lowest common multiple of 9 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**2 + 184. What are the prime factors of l(0)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35786 - -35793. Solve 0 = 4*k - 20, -8*h + 2*k - 11 = -i*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 250646 + -250643. Suppose -3*o = -3*q - 6, -3*q = -5*o - 0*o + 10. Solve 0 + 0*w + 40\/7*w**4 + q*w**2 - 8\/7*w**t - 6*w**5 = 0 for w.\nAnswer: 0, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 5*k**2 + 2*k + 2. Suppose -2*u = -0 + 2. Let i be h(u). Suppose i*f - 35 = -5*q + 35, 3*q + 15 = 0. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 56*z**3 - 5*z**2 + 4*z - 11. What is the tens digit of p(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 5*m + 6 = 0, 4*g = -8*m + 4*m + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/(-6))\/((6\/(-8))\/(-3)). Let l = -7902 + 7902.4. What is the closest to s in l, 2\/7, 5, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002476694 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -640 - -1322. List the prime factors of j.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 divided by 7?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.16948, 13, -1\/2, 0.3 in descending order.\nAnswer: 13, 0.3, -0.16948, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15255452\/93 - 164032. Is s at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 821 or 819?\nAnswer: 821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/22*(-1 + -1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 158201*p**2 + 5*p**3 + 158201*p**2 - 8*p**4 in the form f*p**2 + w*p + o + g*p**4 + h*p**3 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 2*i. Let b(w) = -w + 1. Let p(l) = 14*l - 12. Let z(q) = 12*b(q) + p(q). What is z(s(x))?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/6 + 5\/3. Let w(i) = 7*i**2 + 9*i - 6. Let z(p) = p**2 + p. Let h(j) = -w(j) + 3*z(j). Let a(g) = g**2 + g - 1. Calculate l*h(n) + 6*a(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 5*r**2 - r + 1. Let i(z) = 481*z**2 + z + 1. Give i(h) - 2*u(h).\nAnswer: 471*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3 + -4*(((sqrt(272)*-1 + sqrt(272))*6)**2 - (1 + sqrt(272) + sqrt(272) + (1 + sqrt(272))**2)) + 5).\nAnswer: 256*sqrt(17) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(720))**2 - (3 + (sqrt(5) + 1)**2).\nAnswer: -50*sqrt(5) + 715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -4\/673043?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-313)\/(-626))\/((-4)\/328)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {m: 1, d: 10, g: 1, f: 1, n: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q - 3*b - 6, -5*q - 2*b + 185 = 210 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5650664 is divided by 596?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 12*i**2 - 16*i + 20. Determine b(11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 839399038 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 f(c) be the third derivative of 4\/3*c**3 + 0 + 2\/9*c**4 + 0*c + 1\/90*c**5 - 262*c**2. Factor f(v).\nAnswer: 2*(v + 2)*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 - -1)\/(((-48)\/68)\/12). Let p = 99 + -190. Let j = u - p. Solve 2*r = -j - 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32 - 26. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = 13*p - 0*p. Let k(m) = -2*m - 4. Let v(w) = -w - 5. Give p*k(r) + 3*v(r).\nAnswer: 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1549498095?\nAnswer: 3, 5, 34433291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 4*o - 2*o + 158, 4*o = -3*w + 74. Suppose 0*l - 3*l + w = 0. Let k(u) = -8 + 8 + l*u**2. Let n(y) = y. Give k(n(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 0, 3*o - n - 3*n = n + 12708. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of 671*g**8\/336 - 4*g**5\/15 - 17*g**4\/24 + g**2 + 5. What is the third derivative of d(s) wrt s?\nAnswer: 40260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -12168\/5*v**2 + 0*v**3 + 9253764\/5 + 4\/5*v**4 + 0*v = 0.\nAnswer: -39, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002677178 to five dps.\nAnswer: 0.00268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113617 = -7713*b - 214*b + 1810*b + 560158 for b.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = 4*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35198280 divided by 488865.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at least 560\/369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -217a (base 15) in base 5?\nAnswer: -211330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1288 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/14 and 25\/2051?\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 10*p**2 + 5*p. Let f(w) = -9*w**2 - 4*w. Suppose -y = -4*c - 21, y + 4*y = -c. Give c*f(s) - 4*b(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -19. Calculate the remainder when p is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2 = 5*z + 2*o, -10 = 2*o. What is the least common multiple of z and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 5354, 5368, 5372, 5360, 5326, 5264?\n\"Answer: -b**3 + b**2 + 18*b + 5336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 710, 714, 718, 722, 726, 730?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 71?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -3*o**4\/7 - 24*o**3\/7 + 27*o**2\/7 = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 899583.4 centuries to years.\nAnswer: 89958340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 16, 3*z - 18 = -s + 4*s. Suppose -2*r + 4*r - 18 = 2*y, -2*r + 17 = -y. Calculate the smallest common multiple of z and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 57423746 not equal to 57423747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2*h - 36. Let c be j(-20). Suppose 0 = -c*q - 400 + 1500. Let d = q + -150. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.881 + -0.081. Round s to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/(-18))\/((-2)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -907 take away 0.131?\nAnswer: -907.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2300 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*w + 82*w = 6630. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 + 1. Let a = 17 - v. Suppose a*k - 448 = -5*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 31*w + 180 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + q - 3*q)*(q**4 - q**2 + q**2) + 0*q**5 + 3*q**5 - q**5 - q + q**5 + q + 97*q**5 + 5*q**2 + 105*q**2 - 110*q**2.\nAnswer: 99*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 5*x**3 + 60*x**2 + 45*x - 110 = 0.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-36.79.\nAnswer: 11.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 4. Let c(b) = -2*b - n*b - 2 + 4. Let u be c(-2). Calculate the greatest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 633 + -831.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188*i - 90*i + 63 = 77*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12696507.438 + -0.4.\nAnswer: -12696507.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-162)\/(-4) - 3\/6. What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16010698007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151\/2*(19 - (9 + 6)) is divided by 163.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3613383.\nAnswer: 3, 37, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*z - 77*z**2 + z**4 + z**3 + 0*z**3 + 78*z**2 + 17 + 13*z in the form w*z**2 + g + f*z**4 + y*z + l*z**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9\/203837 - -702213929\/102733848. Let n = a - -34\/63. Find the common denominator of n and -109\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 + c**2 - c**2)*(31*c + 3*c + 0*c + c + 0*c + 0*c + (-3 - 1 + 2)*(-2*c - 1 + 1) - 1 + 1 + c + 0*c + 2*c - c - c - c - c).\nAnswer: 38*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 354 divide 133458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u - 6*u**2 + u + (4 + 7 - 4)*(u**2 + 3 - 3) + u**2 - u**2 + u**2 - 6*u**2 + 0*u**2 + 0*u**2 + (0*u - 3*u + u)*(7*u - 3*u - 2*u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.8 - -16.8. Let p = 12 - x. Let z = 1 + 3. Which is the nearest to -3?  (a) p  (b) 0.3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 3016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5906 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 8) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33 - -75.1. Let d = u + -43.89. Let n = 1.8077 + d. What is n rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-16)\/(-3)*(-1 + (-9798)\/12). Let q = -143930\/33 - b. Find the common denominator of 58\/33 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 348505 or 348479?\nAnswer: 348479","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**5*i**(-10))\/((i\/(i*((i\/i**2*i)\/i)\/i))\/((i\/((i\/(i**(1\/12)*i*i))\/i))\/i)) assuming i is positive.\nAnswer: i**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 - 3*k**2 - 6*k + 6. Let a be p(4). Let s(c) = -c**2 - 12*c + 2. Let d be s(-12). What are the prime factors of (-2)\/d*38\/a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 691240 and 4876384.\nAnswer: 268201120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 0*o - 3*o + 25, -3*g = -o + 25. Let c = -5 + g. Let x = 18 + c. Solve -2*i - 3 = x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 400\/(-32)*16\/(-5). Suppose 0 = 2*o + 2*o - v. Suppose 3*y = -u + 19, 5*y + 5*u - 37 = 2*u. Solve -t - 14 = 2*p - y, 0 = -3*p + 2*t - o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + b = 425, -3*b + 550 = 5*z + 2*b. What are the prime factors of z?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -256 = n - 0*n + 5*x, -n - 226 = -5*x. Let o = -156 - n. What is the remainder when o is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + x - x)*(0 + 2 - 3 - 2 + 3 + 0 + (-4 + 5 - 2)*(2 + 0 + 0) - 2 + 7 - 2).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4732 and 122052.\nAnswer: 20626788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -3*f + 32, x - 2*f = -0*x - 4. Suppose 0 = -3*t + 15, 113 = x*v + 5*t - 36. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1117, 0, -3, -2 in descending order.\nAnswer: 2, 0, -2, -3, -1117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 314*h + 334*h - 23*h - 173*h to the form g*h + r and give g.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 PM and 12:10 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54059*-0.3.\nAnswer: -16217.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(110)\/(sqrt(90)\/sqrt(9)*6) - (1 + (1*sqrt(66) + sqrt(66) - sqrt(66))\/sqrt(6)))**2*-5.\nAnswer: 25*sqrt(11)\/3 + 1555\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/29007 and 95\/7032.\nAnswer: 232056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1055403?\nAnswer: 3, 39089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, 5, 0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.24 + 139?\nAnswer: 136.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -630522\nAnswer: 252208.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4790, -4809, -4862, -4967, -5142, -5405, -5774?\n\"Answer: -3*c**3 + c**2 - c - 4787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wkkwofwwwgofgowffk. What is prob of picking 2 k, 1 g, and 1 f?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53, -113, -173, -233?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 0.001, 1\/5, -2\/13.\nAnswer: -0.3, -2\/13, 0.001, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -132*d**4 - 16696*d**3 - 65200*d**2 - 64672*d.\nAnswer: -4*d*(d + 2)**2*(33*d + 4042)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 28\/(-7) - (-20)\/4. Do 9\/5 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 5*h. Let i = -23 + 28. Let d(g) = g**2 - 4*g. Let a(o) = i*m(o) + 4*d(o). What is the second derivative of a(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 7000.\nAnswer: -1\/3500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10  (b) -3.99  (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vzvvvvvvyzy. What is prob of sequence zy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 163, 3, -5, 10, 38 in increasing order.\nAnswer: -5, -3, 3, 10, 38, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vzzvzwzwvzzz. Give prob of sequence zwv.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 86 and 2279.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*x**5\/7 - 57*x**4\/7 + 57*x**3\/7 + 3*x**2 - 30*x\/7 = 0. Calculate x.\nAnswer: -2\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 212 + 122?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*l + 86*l = -4*o + 64, -38 = 5*l - 2*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 1:38 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3553287585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7275 - -7933. Calculate the remainder when d is divided by 83.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 + -15.5. What is the nearest to -1\/4 in -2\/5, 0.3, v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209484 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -347 + 14*g**2 + 347.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 1630\/783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138\/7*z**2 + 2\/7*z**3 + 3174\/7*z + 24334\/7 = 0 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -4 + 1 - 5 + a + 0. Let n(i) = -1 + 2*i - 5*i - 4*i. Let g be n(-1). Determine w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*j**3 - 2403*j + 2403*j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*h**2*n*q**3 + 3*h**2*n + 20*h**2*q + 19*h*n*q**2 - 2*h*n*q + 4*n*q**3 wrt q?\nAnswer: -60*h**2*n*q + 38*h*n + 24*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 667768 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -21910624575549 and 0.4.\nAnswer: -21910624575548.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = -5*c - 40, 2*h - 31 = 19*c - 14*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m + 24 = 3*m + 4*u, 3*u - 4 = -4*m. Let x be (-24)\/(-12)*m\/(-42). What is the nearest to 0.01 in -3, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8388\/19, 10.8, -10, 0.5.\nAnswer: -10, 0.5, 10.8, 8388\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/4)*k**(2\/25))\/(k**(-1\/4)\/(k**(-8)*k)) assuming k is positive.\nAnswer: k**(-173\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -266, -2179, -7378, -17507, -34210, -59131, -93914?\n\"Answer: -274*l**3 + l**2 + 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 12:23 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 82507 by -3.\nAnswer: -82507\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10212.568 and -0.19.\nAnswer: -1940.38792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4852783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 2*p = -1396, 2*u - 3*p - 354 = 212. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75812988 and 593614?\nAnswer: 530690916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12827184 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1\/4  (b) 500  (c) -1  (d) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 5 = -15. Suppose 0 = 4*r - 5*c - 127, v*r - 57 = -2*c + 77. Let h = r + -17. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -145, -280, -413, -544, -673, -800?\nAnswer: -925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/5 + (-1657)\/(-20) + (-14)\/56 is divided by (((-64)\/20)\/1)\/(1\/(-25))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -115 + -1682206?\nAnswer: -1682320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*w + 171*w - 5*w + 4830 = 0 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 38983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 5*n + 10 = -0*n, n = -2*o - 1. Let b(k) be the first derivative of k**3\/3 + 3*k**2 - k - 8. Give b(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s + 429*s**2 - s + 887*s**2.\nAnswer: 1316*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 61437 and -2.\nAnswer: -122874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*y + 3*y + 2*y**2)*(y + 0*y - 3*y - y + 0 + 0 + (-1 - 1 + 0)*(-2*y + y + 0*y)) to the form h*y**3 + q + a*y**2 + m*y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.3 - -4.3. Let n = -8 - -13. Suppose -s - 17 = -5*s - n*f, -2*s - 3*f = -11. What is the nearest to -1 in i, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.7, 4, -47077, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -9*b + 88. Give y(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 69194 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*c - 49 = 201*c - 117 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 5*w - 34788 - 5147 = 0, 4*w + 39917 = 5*f. List the prime factors of f.\nAnswer: 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 - 31*s**2 + s - 24. Let c be k(31). Calculate the greatest common factor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nanhh. What is prob of sequence nnh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 + 73*x**2 - 339*x - 62. Let r be y(68). Solve -4*w + 2*v = -w - 2, 2*w = -v + r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1656268, 3312357, 4968450, 6624547, 8280648, 9936753, 11592862?\n\"Answer: 2*l**2 + 1656083*l + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8541083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -101 + -2052. Let t = -2145.512 - w. Let l = 0.088 - t. What is l rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22121 + 11?\nAnswer: -22110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*c + 45*t - 48*t, -1 = -3*c + 2*t - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 52 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of j**9\/1890 + j**5\/20 - j**4\/8 + 3*j**2. Let g(u) be the second derivative of p(u). What is the derivative of g(q) wrt q?\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2218 - 2193. Solve 2*r + 5 - 10 = 3*q, -5*q = g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 507 + -503. Let t be 250\/(-780) - (-2)\/12. Which is the second smallest value?  (a) i  (b) 6\/5  (c) 2  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2916216 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 1, 8, 29, 70?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -34, 4.\nAnswer: -34, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*z - 4*z + 5*z)*(-51*z + 416*z - 88*z)*(-6 - 3*z - z - z) in the form s*z + f*z**3 + w + d*z**2 and give f.\nAnswer: 2770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of 7*i**4\/24 - 2*i**3 - 3*i**2\/2 + 6. Let f(s) be the second derivative of o(s). Is f(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -53 + 34. Let l = s - -29. Calculate the greatest common factor of 40 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ddbdddddb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -74 + 78. What is the third derivative of 3*c**4 - 165*c**3 + c**4 + 26*c**2 - 3*c**x + 44*c**2 wrt c?\nAnswer: 24*c - 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -c - 3*t, c - 22*t + 19*t = 55. Let p be 1 - (0 + 0\/(-4)). What is the remainder when c is divided by (-10)\/p*16\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 10. Suppose -13 = -f - y. Suppose f = c + 2. Solve 8*v - c*v + 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4833 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 264 and 35089472?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.50540637 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18498 and 10?\nAnswer: 92490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 440*(-15)\/6*5. What is m rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9752316316434 minus -0.1?\nAnswer: -9752316316433.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 141975 divided by -5.\nAnswer: -28395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**2 - 15834*j = 0. What is j?\nAnswer: -15834, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -663, -139\/5, 2\/15, -3.\nAnswer: -663, -139\/5, -3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 + 6*r - 1. Let q(o) be the third derivative of -o**5\/60 - o**4\/6 + o**3\/6 + 290*o**2 + 3. Calculate -5*f(a) - 8*q(a).\nAnswer: 3*a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -1. Let p(b) = 3*b - 2. Let h(q) = -2*q**2 - 30*q + 33. Let u be h(-16). Determine u*p(k) - 3*m(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nuu when three letters picked without replacement from {n: 3, u: 4, t: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 5 + 3)*(-1 - 5 + 1)*(339*w**2 + 41*w**3 - 339*w**2) in the form k*w**2 + h*w**3 + g*w + p and give h.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -39702, -39717, -39718, -39699, -39654, -39577, -39462?\n\"Answer: n**3 + n**2 - 25*n - 39679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13550 divided by 5.\nAnswer: -2710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 133*q**2 + 9*q - 118. Let f(h) = -265*h**2 - 16*h + 235. Let r(p) = 13*d(p) + 6*f(p). Is r(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237621023 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - -2) + (2 - (13 + -21))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 181425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of -3 - -1 - (-35 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1067 and 12121967?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 21\/(-42) - 2\/(-4). Sort -6, h, 1 in decreasing order.\nAnswer: 1, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 880 or 510?\nAnswer: 880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 764 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 71731615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 444160 and 111040.\nAnswer: 444160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(4*(1 + sqrt(1700))*1 - (-1 + sqrt(1700) + 4 + (sqrt(1700) - (sqrt(1700) + sqrt(1700) + 1 - sqrt(1700))*-5))))**2 + -4)*6.\nAnswer: 36000*sqrt(17) + 2297376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3\/7  (b) -339895  (c) -35\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11268 at most 11320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 65, 116, 161, 200, 233, 260, 281?\n\"Answer: -3*k**2 + 60*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -4. Let y be 205\/(-2497) - r\/(-22). Let o = y - 2\/227. Is -1 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 121, 78, 5, -98, -231, -394, -587?\n\"Answer: -15*r**2 + 2*r + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b - b + 2832*b**2 - 2839*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 + 6. Let k = 8 - 6. Let c be 5*-1*k\/2. Sort -2, c, x in ascending order.\nAnswer: c, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 26481*a**3 + 44392 with respect to a.\nAnswer: 79443*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9.07 - -8.32. Is z less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z. Let h(v) = -5*v + 6. Let r(t) = 55*t - 65. Let w(x) = -65*h(x) - 6*r(x). Determine o(w(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - ((-29 - -20) + 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 - (111 + -43 + 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 56 - 56 + 22*z**5 + (-1 + 1 - 2*z**3)*(3*z - 2*z**2 - 3*z) + (-2*z**4 - 4*z**4 + 5*z**4)*(0*z - z + 0*z).\nAnswer: 27*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + (sqrt(5) - (sqrt(15)\/sqrt(3) + sqrt(5)))*-1 - (sqrt(80)\/sqrt(8))\/sqrt(2))**2 + 5*(-3 + (1*sqrt(5))**2*-6) + 1.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/2902 - -5761\/124786. Which is the third biggest value?  (a) z  (b) 5  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 189, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/19 - 42*g**2\/19 - 48*g\/19 + 88\/19.\nAnswer: 2*(g - 22)*(g - 1)*(g + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*g + 4*g + 16, g - 903 = -5*x + 5*g - 939 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -5*v - 5. Let r be k(-3). Suppose -6*d + 11*d - r = 0. Suppose d*g = 5*b - 0*g, 0 = 5*g - 25. Solve -o - 2*p - 2 = 0, 5*p + 5 = -b*o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ivij when four letters picked without replacement from ssvviidsvlsvijivvv?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 96055, 191491, 286927, 382363, 477799?\n\"Answer: 95436*d + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -3 - 3. Suppose -i*q + 547 - 56 = 4*z, -3*q = 2*z - 253. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n**2 + n + n**2 + 8*n - 7*n as b + t*n + r*n**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 3*w = -2*w + 84, 3*o - 94 = 4*w. Calculate the remainder when 5545\/75 + (64\/60)\/16 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -a83 (base 11) to base 5\nAnswer: -20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5460*n*r**2 + 59*r**2 - 12*r + 5 wrt n.\nAnswer: 5460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - 2*w - 5. Let b be t(4). Suppose 0*g = -b*g. Let d = g + 4. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q**2 - 169*q + 512. Give n(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 766621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b**2 + 71*b - 353. Give q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 5 + 0)*(2*b**2 + 2 - 2) + 0*b**2 + 0*b**2 + b**2 + 146*b**2 - 904*b + 904*b to y + g*b + x*b**2 and give x.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 4*q - 68. Let r(u) = 4*u + 34. Let v be r(-12). Let c be v + 13 - (-262)\/2*1. Calculate the highest common divisor of c and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-7) - (-44)\/7. Let o(j) = 2*j - 6*j + j**3 + 53*j**2 - 5 - 58*j**2 + 0*j. Let b be o(c). Solve -3*k = -5*v + 32, -v + 5*k + b = -17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*(1 + -2) + 1. Let w(b) = -i*b**2 + 5*b**2 - b**2. Let o(s) be the first derivative of -2*s**3\/3 - 25. Determine w(o(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 21215473619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 2264 divide 10199320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.6 and -51308683728.2.\nAnswer: -51308683729.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(252) + -5) + sqrt(252))*-5)**2 - -6*(sqrt(252)*5 + 0).\nAnswer: -17820*sqrt(7) + 66700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/692 and 63\/8905?\nAnswer: 6162260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2492130?\nAnswer: 2, 3, 5, 83071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -2*n**2 - 6*n - 4*n + 3*n - n**2. Suppose 51*p = -143 - 112. Let q be (-8)\/(3\/3*-1). Let m(b) = -5*b**2 - 11*b. Calculate p*m(a) + q*w(a).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 66538264 + 45.13?\nAnswer: 66538309.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 548823268 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3437675 is divided by 218?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1689 + 1686 - 5066 + 1691 + 17782*o to f + q*o and give q.\nAnswer: 17782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3844 + 10761. Let z = 1255 - r. Let d = 5338 - z. Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h + 22. Let i be r(9). Let w be (1 + -2)\/(3*i\/675). Let a = w - 39. Solve -o = -a*o + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 2*u = 954, 5*j - 489 - 717 = 2*u. Calculate the greatest common divisor of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2099844, 2099852, 2099860, 2099868, 2099876?\nAnswer: 2099884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aeawwwwwwwawwg. What is prob of picking 1 w and 1 a?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/509 in -7\/6, -2\/7, -0.5, -0.05, -2\/11?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7845285?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oqa when three letters picked without replacement from {o: 4, q: 12, l: 1, a: 3}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.9 and -278.\nAnswer: -277.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -166, -2, -3 in ascending order.\nAnswer: -166, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v**2 - 38*v + 14*v - 32*v.\nAnswer: 2*v**2 - 56*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -770 + 826. What is the remainder when 1063 is divided by y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 4905 = 4*p, -1585 = 3*p + 4*k - 5263. Suppose n - 6*n + p = 5*d, -5*d = 2*n - 489. Let m = 366 - n. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 - (205 - 88) - -134?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 3*s + 3. Suppose 0 = 4*l - 3*q - 4, -28*q = 5*l - 31*q - 5. What is the remainder when x(3) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i**5\/7 - 5361*i**4\/7 - 3183798*i**3\/7 + 3215922*i**2\/7 + 15961779*i\/7 + 9567423\/7 = 0.\nAnswer: -471, -1, 3, 2257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.8 - 2. Suppose 7*k = 4*k + 12. Let o be 1\/3*(-8 + k). Sort o, h, 0.4 in ascending order.\nAnswer: o, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1452 and 7194?\nAnswer: 158268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 0.34?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 20 = -3*r, 2*r + d - 10 = -d. Sort r, 0.1, -0.3, 27 in ascending order.\nAnswer: -0.3, r, 0.1, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -281*c + 95*c + 113*c - 2 + 120*c - 13*c.\nAnswer: 34*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -640 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 10) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/356 and 49\/1321?\nAnswer: 470276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1589 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -662, -654, -646, -638, -630, -622?\n\"Answer: 8*j - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*r + 84*r + 18*r.\nAnswer: 126*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 a when three letters picked without replacement from aajjjjajjajjjj.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 34528 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.02  (b) -2\/5  (c) 3  (d) -1.8  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 141 + 64 = 0. Suppose 3*u = -i + 167. Let l(b) = -19*b**2. Let d(t) = 161*t**2. Let w(f) = u*l(f) + 5*d(f). Let j(q) = -2*q. What is w(j(x))?\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35 + -35. Suppose -2*u - 13 + 7 = i. What is u rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*z**2 - 3*z**2 + 0*z**2)*(2 - 1 - 2) - 7*z - 3*z**2 + 7*z + (-5*z + 2*z + z)*(-z + 0*z + 3*z) in the form k + g*z + t*z**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z - 1. Let c = -6 + 20. Let d(g) = -8*g + 3. Let a(l) = c*v(l) + 2*d(l). Determine a(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*v - 2, -a = 3*v - 5*v + 2. Suppose -g - 1 = 4*p, v*g + 3*p + 20 = 2*g. Solve -2*q - 15 = -g*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/6)\/((192\/(-108))\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7149 = 71*p - 510*p + 15679 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 5*a - 118, -2*s + 4*s = 4. What is the least common multiple of 152 and a?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 2\/14093 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, v: 2, h: 3, g: 5, i: 1}. Give prob of sequence ih.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 57 - -43435?\nAnswer: 43514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 5*g + 21 = 0, w - 2*g + 0*g = 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6792 is divided by 169?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4651542733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 8:45 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 35*t**2 - 2*t**5 - 35*t**2 + 5 + (-133 - 362 + 140)*(4*t - 4*t - 2*t**5).\nAnswer: 708*t**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14 - -13) + (1 - 0). Let a = p + 14. Let r = a - -77. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is cce4e (base 15) in base 7?\nAnswer: 5351420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/57)\/b)\/(b*b\/b**(-18)))\/(b\/(b*b**(-1\/9)))**(-12\/11) assuming b is positive.\nAnswer: b**(-13069\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*z - 5. Let j = -14 + 14. Suppose v + 2*v - 231 = j. What is the highest common divisor of v and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*q = 36*q + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9 - -82.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - (-8 + 59 - 15).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 0*i - 9 = -2*j, 17*i - j + 22 - 18 = 46 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3884 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 7 = c, -2*c = -3*j - 4 - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 1 + m + (-4 - 4 + 1)*(-m - 4*m + 3*m) + 0*m + 10*m + 6*m in the form f + u*m and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -9.9. Let m = -1.187 - -1.187. Which is the nearest to q?  (a) m  (b) -2  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1923, -3838, -5747, -7650?\n\"Answer: 3*p**2 - 1924*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 - 9*q + 3. Let m be 2 + 2 - (-3)\/(-1). Let j be (1\/m)\/(3\/(-27)). Let n be t(j). Solve y - 4 = -n*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/28634 and 61\/1236.\nAnswer: 171804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 20\/12974777 and -8\/215.\nAnswer: 64873885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**4 - 15*b**4 - 9*b**4 + (-5*b**3 + 0*b**3 + 6*b**3)*(4*b - 2*b + 0*b) + 2*b**4 - b + b.\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 0*c = c - 176, -c - 174 = -5*d. Solve y = -0*h + 2*h - 2, 5*h = -5*y + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -33 at most as big as -1758\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39290000\/2593 + 45457\/3. Is -1 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4570407.9805 + -1010.9805. Let i = k - 4569419.000055. Let b = -22 - i. What is b rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 545.3242kg in milligrams?\nAnswer: 545324200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -241 - -241.2. Which is the closest to -3\/5?  (a) -1\/5  (b) 0.1  (c) -0.8  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2021*i - 1005*i - 1003*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 2 = 5*d - 36, 4*d + 3*g - 49 = 0. Suppose -2*p = -d + 6. Solve 0*a - 2 = -p*a - 2*z, a - 16 = 4*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 9 = -4*p, -18 = 2*b + 6*p - 2*p. Let a be b\/6 - (-10)\/36. Let y = -93\/749 - 2\/107. What is the third smallest value in a, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.01 + 13.99. Let g = 13.93 - w. Let q = g + 0.06. Which is the second smallest value?  (a) 2\/7  (b) q  (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.01806*8519.\nAnswer: -8672.85314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 382*w + 7642. Let h be q(-20). Which is the closest to 0.1?  (a) h  (b) -0.4  (c) 2\/39  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m - 8*m = 210. Suppose j - i = 15, -2*j - 2*i = -7*j + 75. What is the greatest common factor of j and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 25*z**2 - 10*z - 4. Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k + 14*k**2 - 11 - 13*k**2 + 10. Let y(j) be the second derivative of j**4\/3 + j**3 - 5*j**2\/2 - j. Determine -6*p(h) + y(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*j - 2*l = 20, 45 = -5*j + 3*l. Let w be j\/(-2) + 5\/(-2). Which is the biggest value?  (a) w  (b) -5  (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/14 + 924\/(-1960)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 11 = -2*j. Let o = 14 + j. Suppose 3*x + 2*l = l + 57, 0 = -o*l + 12. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89 is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -34*v**2 - v - 14. Let k(q) = -11*q**2 - 4. Let u(l) = -4*j(l) + 11*k(l). Calculate the remainder when u(-2) is divided by (-92)\/2*(-2)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 3)*(-8*g + 19*g + g) + 0 + 0 + 2*g + (-5 + 4 + 0)*(2 - g - 2).\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 3*f - 20643 = 0, 1268*n + 5*f + 5165 = 1269*n. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32*g**4 - 41*g**4 + 22*g**4 + (-g + 3*g + g)*(g**3 + g**3 + 0*g**3))*(26*g + 18*g - 55*g).\nAnswer: 495*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 967095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qs when two letters picked without replacement from svqec?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -3*a. Let r be k(-7). Let b be 1\/3*r - 3. Suppose -h - b*h - 5*w = -30, -w = -5. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34 - -39. Suppose 0 = 5*h - l - 23, 4*l + 0*l = -z*h + 33. Suppose -h*w + 5354 - 1989 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02471 to three decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -198*s**2 - 155*s**2 - 47*s**2.\nAnswer: -400*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 87 + -204. Let w = y + 214. Let n = 97.206 - w. Round n to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from kmkkmmmkkmkkmmkkkmmm.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 512 (base 12) to base 14.\nAnswer: 3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18333661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 492 and 312.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1480*n**5 + 2893*n**2 wrt n?\nAnswer: 88800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 30377, 50577, 70777, 90977, 111177, 131377?\n\"Answer: 20200*z + 10177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 8049 = -2*k, -2*h - 3368 = -5*k + 16740. Calculate the remainder when k is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11789.1181 - -11782. What is k rounded to 1 decimal place?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -81*c**2 + 66*c - 66. Let k(i) = -10*i**2 + 8*i - 8. Let t(p) = 33*k(p) - 4*q(p). Let b(g) = 37*g - 2. Give t(b(x)).\nAnswer: -8214*x**2 + 888*x - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -56, -60, -64, -68, -72, -76?\n\"Answer: -4*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.1, 31, -1, -0.01 in descending order.\nAnswer: 31, 3, -0.01, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (208\/1092)\/((-28)\/6).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 2. Suppose -52 = p*k - 342. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -116781*s. Let j(y) = 602*y. Determine -3*i(d) - 581*j(d).\nAnswer: 581*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 6*x - 16. Solve 4*w - x*w - 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-5 + 5 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1202 (base 3) in base 10?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15312 and 528.\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1.826257 litres?\nAnswer: 1826.257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1952 and 183141520.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2323 - -4?\nAnswer: -2319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -569 divided by -81\nAnswer: 569\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23760*q**2 + 20520*q**2 - 3917*q**2.\nAnswer: 40363*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 2:13 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 49824700 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 440 and 280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9\/5 in 4\/7, -1, -125980, 4, -2\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 44 - 36. Let p(c) = -70 + 4*c + 71 - 15 - 17. Let q be p(k). Solve 0 = -5*b + 15, -4*j + b - q = -10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -194, 27455, 55104, 82753, 110402?\nAnswer: 138051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53 + 54*x**2 + 81 + 82 - 216.\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 + t - 2. Suppose r + 2*r = 6. Let j be y(r). Suppose -42676 + 5656 = -n + j*s, -4*s + 110980 = 3*n. Round n to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 438665475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 15*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*p**3 + 5*p**3 - 2*p**3 - 2*p**3.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2240, -4315, -6390, -8465?\nAnswer: -10540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.9 * -65.\nAnswer: 123.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*q**4 + 0*q - 1\/2*q**2 - 1\/4*q**3 + 0.\nAnswer: q**2*(q - 2)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -203\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/216 and -157\/120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -1659*c - 1055. What are the prime factors of l(-22)?\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n = 4*n - 2*k - 14, -5*n = 45*k + 190 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -i**2\/2 - 14428*i - 115392 = 0.\nAnswer: -28848, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 s, and 2 c when four letters picked without replacement from vsvsksvsvvsckvvcsvc.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2916)\/sqrt(6)*-4)\/(sqrt(72) - -5*sqrt(72)*-4).\nAnswer: 6*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 7 = -3*w - 5, 0 = -2*w - r - 3. Suppose w = -m + 4*m. Let j be 0 + 6 + -1 + 0. Solve -a + m - 9 = -l, j*l = a + 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/8 and 3\/101?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1490156 to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 15739*b**3*s**2 - 65*b**3 + b**2*s**2 + 2106*b wrt s?\nAnswer: 31478*b**3*s + 2*b**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-606)\/(-14) + 4\/(-14). Suppose 3*a - m = 8. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than 938.1?\nAnswer: 942.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**3 + 120*m**2 + 315*m.\nAnswer: 5*m*(m + 3)*(m + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 64298, 514405, 1736126, 4115267, 8037634, 13889033?\n\"Answer: 64301*m**3 + m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 8*l + 46 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2356 and 710363450?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 6) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k + 4*i + 17, -3*i + 8*i = -5*k + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5 and 34201775.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/15)\/((-20)\/225)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 56 + -1117\/20. Let k(b) be the second derivative of b**2 + 0*b**4 + 0*b**3 + 0 + 2*b + o*b**5. What is the first derivative of k(g) wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12153779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of 7*o**6\/30 + 17*o**3\/6 + 15*o**2\/2 - 26*o. Let p(d) be the first derivative of n(d). Differentiate p(m) with respect to m.\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -364*j + 395*j - 22*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/17 - 210*d**2\/17 - 2*d\/17 + 210\/17.\nAnswer: 2*(d - 105)*(d - 1)*(d + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -58*b**2 + 30*b + 141. Let f be g(-4). Which is bigger: 2\/7 or f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 40 - 52\/3*t + 4\/3*t**2 = 0?\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 0 - -1 - (-72)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(200)*2 + 4.\nAnswer: 4 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*z + 3*z - z)*(0*z**3 + z**3 + z**3)*(12 + 108*z - 10 + z).\nAnswer: -654*z**5 - 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + 27*h**2 + 33*h - 43. Calculate r(-26).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.54 + 94.46. Let u = b - -12. Let q = u - 107.7. Which is greater: -1.6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 523443 is divided by 243.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-110044 + 13*m + 110044)*(2 - 1 - 2)*(1 - 2 + 6) to q*m + i and give q.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10439 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do 125\/56149 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -163087\/3 or -54363?\nAnswer: -54363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of -r**5\/20 + 6*r**2. Let x(n) be the third derivative of -1\/24*n**4 + 0*n**3 + 0*n + 0 - 3*n**2. Give x(u(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1153 and 9?\nAnswer: 10377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(4)\/(sqrt(6)\/(sqrt(3) + 1*sqrt(3))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.02?  (a) 3  (b) -0.2  (c) -0.1  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -27\/8  (b) -2\/11  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 0.9, -3, -1 in ascending order.\nAnswer: -5, -3, -1, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 2:28 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2152063871?\nAnswer: 29, 43, 47, 73, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1501*g**2 + 794*g**2 + 766*g**2.\nAnswer: 59*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + ((sqrt(396) + 0)*-2 - (sqrt(396)*2 + -2)) + -4)*-2)**2.\nAnswer: 384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**2 - 3428*h + 63. Give t(0).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -45, -126, -223, -336, -465, -610, -771?\n\"Answer: -8*f**2 - 57*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 2. Suppose 7*b - f*b - 36 = 0. Solve -4*i = -b - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2586 + 2*s**2 - 5132 + 2546.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4467538 is divided by 1116879?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2112 and 495168.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of s**4\/12 + 13*s**3\/6 + 2*s**2 - s. Let a be g(-13). Solve 7*o = a*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 96*m + 1106. Does 175 divide b(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2.22 or 25\/3?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -60 + 63. Let v(g) = 299*g**2 - 2*g - 5. Let q be v(d). What is q rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -43 - -34 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 132\/13, 3, -1 in decreasing order.\nAnswer: 132\/13, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c**3 - 2*c**3 + 33*c**3 + 45*c**3 - 191*c**3.\nAnswer: -111*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (131 - 123) + 1 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 6) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*j = -54*j - 24064. What is the remainder when j is divided by 62?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720)\/sqrt(2))\/(sqrt(150)\/sqrt(3)) + 3)**2.\nAnswer: 36*sqrt(5)\/5 + 81\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13193 + 13193.66491. Let i = a - 0.7564. Let k = i - -0.092. Round k to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-35))\/(2183\/(-518)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 45912726533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.9 + 2.7. Let b = k - -0.4. Let y = 0.083 + -0.083. Is b bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 4*s + 16 = 4*k, 0 = 4*s + k - 21. Suppose 1 = -x + 3*w, -3*x + 3 = 5*w + 6. Let t = s - x. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + (-71)\/(-25))\/((-138)\/(-115)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -144 by -12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 + 3 = 5*g - j, 5*g = 5*j + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + t - 15. Suppose t = 5*f - 6*f, g - 7 = f. Suppose -3*n - 84 = -3*p - 0*n, 4 = -g*n. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18672 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 + 121*y + 910. Let r be p(-113). Calculate the highest common factor of 7122 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.3*97046.\nAnswer: 223205.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*g - 1 + 17 + 0.\nAnswer: -2*g + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.03 + 0.33. Let s = 56 - 51. Suppose 2 + 28 = s*m. Which is the second smallest value?  (a) n  (b) m  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b - 1. Let w(g) = -5*g + 6. Let c(f) = 6*v(f) + w(f). Let a(y) = -3. Let p(h) = 6*h**2 - 9. Let r(n) = 9*a(n) - 3*p(n). Determine r(c(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 1:31 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -266*g**6 + 2*g**5 - g**3 - 18*g**2 - 2*g + 6 wrt g.\nAnswer: -31920*g**3 + 120*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41 - -59. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1871\/855 - -2\/171. What is the common denominator of -53\/7 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kz when two letters picked without replacement from zicizikxkizzzzizziz?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 + 5*f**2 - 5. Give y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207*j = -4*f + 206*j + 20, -4*f - 7*j = -212 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**1)**(-5)*(c**(-1))**(-25\/3)*(c\/(c*c**(1\/8))*c*c)\/(c**(7\/2)*c)*c**8*c**(-2\/7) assuming c is positive.\nAnswer: c**(1415\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 190*v - 4*v - 34*v - 50 + 62 - 4 + (1 + 2 - 2)*(-22*v - 16*v + 19*v) to n + g*v and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 56\/((-3136)\/(-126))*8\/3. Solve 11*s - o = 8*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 + 8*h + 11. Let q be n(-5). Let b be 2 - (-2 - (-11 - q)). Let g = 14 + b. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 63*o + 522. Calculate k(-10).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36\/7 + 193\/28. Let t be 1 + 2 - (-60)\/(-18). Let i = 10159\/7 + -1451. Which is the second biggest value?  (a) i  (b) t  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*p + 8. Suppose p*i + 21 = -f, -i - 4*f = -2*i - 20. Let t be -15 + -1 - (3 + i). Which is bigger: t or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*o*t**3*w**2 - 210*o*t**3*w + 68*t**3*w + t**2*w**2 wrt o.\nAnswer: -2*t**3*w**2 - 210*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -73*i**2 - 83*i**2 + 149*i**2. Let y(q) = 98*q. Calculate y(h(l)).\nAnswer: -686*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1268 and 6144728.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 9.3. Let i = 0.18 + h. Let j = -0.02 - i. Which is the closest to -1?  (a) j  (b) 0  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4362840947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of k**3\/3 - k**2 - 6*k + 1595. Determine h(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 7*v**3 + 61*v**2 + 86*v + 287. What is o(-8)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**4 - 44679*a**3 - 242523477*a**2 - 561393414981*a - 456384785212188.\nAnswer: -3*(a + 1852)*(a + 4347)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.08  (b) -2  (c) -758  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {s: 5, u: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -4. Let x = o - -1.5. Let p be (-2)\/(-7) - 4\/7. Which is the smallest value?  (a) 4\/5  (b) x  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154042.29949 rounded to the nearest integer?\nAnswer: 154042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-10) - (-70461)\/(-90). Let u = j + 2097. What are the prime factors of u?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2194435 is divided by 277?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-5) + (-598)\/(-65). What is the third derivative of -a*g**5 + g**2 - 7*g**2 + 13*g**5 wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21105533 (base 9) in base 12?\nAnswer: -349bb10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 47*a + 426. Let u be w(-7). Solve 102*k + 30 = u*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 21 + 1989\/(-36) - 1\/(-4). Let a(u) = 9*u + 3. Let k be a(-4). Let p = r - k. Which is smaller: p or 1\/24?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.4, 3, 2\/9, 39, -5750?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3.34, -3, -26, -0.07?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 296 - 295.8. What is the second smallest value in i, 1, -3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 201845460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3\/13)\/g)**(-1)*g\/g**(-5\/2)*g**35 assuming g is positive.\nAnswer: g**(1033\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ouq when three letters picked without replacement from {o: 1, q: 1, b: 1, u: 1, t: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = w - 3*m + 2, -4*m + 6 = -w. Let v be -1*w + -1199999 + 1. What is v rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15 in 6, -2, 1\/7, -5, -0.09?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o = -18 + 51. Suppose -91 = -8*x - o. What is the units digit of 409\/x + (-18)\/99?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g - 20. Suppose 0 = -23*r + 139*r - 1160. Determine s(r).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 3*o**3 - 3 - 6 - 13*o**3.\nAnswer: -10*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10760?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/9 + 89379272*g**2\/9 - 178758550*g\/9 + 29793092\/3.\nAnswer: 2*(g - 1)**2*(g + 44689638)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v + 8. Let f be i(0). Let u = f + -12. Let y = u - -6. What is the greatest common factor of 4 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**3 + 195*k**2 + 1575*k - 6615.\nAnswer: 5*(k - 3)*(k + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*z - 4*y - 7, -4*y - 12 = 2*z. Are z and 3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -180.9 + -1.1. Let y(m) = 52*m**2 - 314*m + 13. Let v be y(6). What is the biggest value in -0.5, g, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 454, 1777, 3974, 7045, 10990, 15809?\nAnswer: 21502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -77 or 30\/11?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of -y**4\/12 - 5*y**3\/6 + y**2\/2 - 4*y. Suppose 3 = -4*q - 13. Calculate the remainder when 8 is divided by k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/11*p**4 + 2\/11*p**3 - 2\/11*p + 2\/11*p**2 + 0.\nAnswer: -2*p*(p - 1)**2*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*z + 2*z**2 + 2*z)*(3 + z**2 - 3) - 4*z - 187*z**3 + 14*z**4 + 189*z**3 + 3*z in the form y*z**4 + l*z**3 + g*z + j*z**2 + v and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 1:47 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 6, 104, 368, 882, 1730, 2996?\n\"Answer: 14*k**3 - k**2 + 3*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of -9\/2*t**2 + 0*t**3 + 0 - 20*t - 11\/6*t**4. Differentiate m(w) wrt w.\nAnswer: -44*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*x - 60 = 92. Suppose -3*t + 2 = 11, -10811 = -x*g - 3*t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4565330 and -2187.\nAnswer: 4563143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -238 + 210 + 3*s - 4*s.\nAnswer: -s - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 55\/2 of a milligram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**3 + 126656*t**2 + 1393095*t = 0. What is t?\nAnswer: -126645, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 8. Suppose -k - f = 2*a, -3*k + 5*a = k - 18. Suppose 4*r = k*j + 6, -4*r - 5 = j - 7*r. Let w(v) = 2*v - 1. Give w(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sooo when four letters picked without replacement from {o: 9, s: 9}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 720110 to the power of 1\/2, to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -71\/10, -1\/3, -2\/11?\nAnswer: -71\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -151, -152, -153, -154, -155, -156?\n\"Answer: -k - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1124362 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 78583, 157187, 235793, 314401, 393011, 471623?\nAnswer: 550237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-4 + ((-3*sqrt(480))\/(sqrt(30)\/sqrt(3)*-2)*1)**2).\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 0, 0.02 in increasing order.\nAnswer: 0, 0.02, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5260)\/18 + (-28)\/(-126). Let b = o - -1393. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 - -237. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-6)\/z**(-4\/9)*z**(-2\/25)*z*z\/(z\/(z**(3\/11)\/z*z))*z*z assuming z is positive.\nAnswer: z**(-5848\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/(-6) + (-6)\/4. Let c be -4*6\/g*28. Suppose 0 = 2*j + 36 - c. What is j rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -66*a**2 + 13*a + 22. Let z(n) = 65*n**2 - 14*n - 22. Let u(l) = -3*b(l) - 2*z(l). Is u(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27372 + -27367. Which is the closest to p?  (a) 10  (b) 0.3  (c) -5  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15449, 5, 10, 1.\nAnswer: -15449, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8\/2)\/((-20)\/(-45)). Let b(t) = -d + 0 + t**2 + 13 + 7*t. Suppose 0 = -14*a + 9*a - 40. Calculate b(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/175 and 71\/4070.\nAnswer: 142450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -138758, -138735, -138712, -138689, -138666, -138643?\n\"Answer: 23*k - 138781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**4\/3 + 8*d**3\/3 - 50*d**2\/3 - 176*d\/3 - 40 = 0. Calculate d.\nAnswer: -6, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1151 and 1089997?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 31?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 2592916498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1270, -1271, -1274, -1279, -1286, -1295?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63269 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -35910*v**3 - 90986*v**2 wrt v.\nAnswer: -215460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1473?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1933108 + q**3 - 1933108 + 53*q**2 - 53*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.008414209 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - 5\/(-20))*-12. Suppose -z = -d + 7. Solve -7 + 3 = 2*x, 0 = 4*y - z*x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out 113 - -17738.\nAnswer: 17851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 185 = -162 - 133 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 57*(-80)\/(-3800)*-25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -110 + 312231?\nAnswer: 312121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 4 = -2*z - 4, 5*z - 14 = f. Let m = f + 4. Solve 3*r + m*r - 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m**2. Let z(c) be the second derivative of 3\/2*c**2 + 0 + 5\/6*c**3 + 3*c. Let f(r) = 9*r + 5. Let a(q) = 3*f(q) - 5*z(q). Calculate w(a(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -451.5 - -452. Suppose -5*k = -2*k + 15. What is the closest to 0.1 in 7, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1988\/(-284)*(((-8)\/(-9))\/(-4) - (-1240)\/(-252)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + -8ca3a04?\nAnswer: -8ca3a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 60648 and 6?\nAnswer: 60648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 9435 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - p - 383 = 0, 76*j - 79*j + 2*p = -573. What is the remainder when j is divided by 51?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2005820 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 446 - 19*u**2 + 25*u**2 + 54*u**2 + 54 + 300*u + 4*u**3.\nAnswer: 4*(u + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g - 4581 + 23852 = 0. What are the prime factors of g?\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 25*q**2 + 10*q - 5. Let k(c) = -4*c**2 - 2*c + 1. Let t(v) = -5*k(v) - n(v). Let b(s) = 950*s. Determine b(t(u)).\nAnswer: -4750*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2820*g + 3437*g - 382*g + 308*g = -531738 for g.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-6*m + 2*m + 2*m)*(3*m + m - 5*m) + 13*m**2 + 32*m - 32*m)*(1 - 3 + 6).\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 614 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5929815677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6949421?\nAnswer: 19, 365759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -832 = -8*b + 216. Let y = b + 412. What are the prime factors of y?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0702 times 0.3?\nAnswer: -0.02106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23736, -95300, -214690, -381906, -596948?\nAnswer: -859816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1130 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 9, t: 4, f: 4}. What is prob of picking 3 q?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 113\/168 + -1\/168. What is the smallest value in r, 4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*f**3 + 0*f**3 + f**3)*(0 + 20*f - f + 1) in the form i*f + k*f**2 + z*f**4 + t*f**3 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*n**2 - 86172*n - 21544.\nAnswer: 4*(n - 5386)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/2201 and 41\/284?\nAnswer: 8804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 401*a - 429119242 + 429119242.\nAnswer: 401*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5332*l - 56100 + 8112 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - 3*g**2 - 1. Suppose -1 - 5 = 2*q. Let m be u(q). Let k be (0\/2)\/(3 + m). Put -5, -4, k in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -8894, -8900, -8918, -8954, -9014, -9104?\n\"Answer: -r**3 + r - 8894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 838*t - 806. Let r(p) = -2*p**2. Give a(r(f)).\nAnswer: -1676*f**2 - 806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3005?\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -357 - 13*n - 344 - 346 - 346 + 1741 - 350.\nAnswer: -13*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 86*d**2 + 84*d - 84. Suppose -3*q + 3 = -5*u, -3*u - 3 = q - 4*q. Calculate the remainder when q is divided by a(-85).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12013 (base 15) in base 10?\nAnswer: -57393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110001101100010100001011 (base 2) to base 6.\nAnswer: 1143112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 2990 = 65*n + 3374 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23*l*p**4 + 6*l*p**3 + 5*l*p**2 + 6*l + 3*p**4 - p**3 + 14*p**2 - 34*p wrt p.\nAnswer: 552*l*p + 36*l + 72*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of 13*z**5\/10 - z**4\/4 + 253*z**3\/6 + z + 6. What is the second derivative of s(c) wrt c?\nAnswer: 156*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2055 and 38095590.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 400651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -288*u + 26. What is the units digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16301, -31312, -46319, -61322, -76321, -91316?\nAnswer: -106307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 311 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: Express -a - 32*a**3 - 2*a**4 + 31*a**3 - 3*a - 2*a in the form g*a**4 + k*a + q + w*a**2 + c*a**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = v + 5, 0*k - 2*v - 118 = -6*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 20*p**2 + 4*p - 3. Let z be o(2). Suppose s = -29 + z. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, y: 7}. Give prob of sequence ey.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4810 - -4838. Solve n - 4*m - 8 = 3*n, -3*n + i = -4*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 160 = -73*s + 75*s, -5 = 5*q. What is the remainder when s is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*q - 14. Let k = q - 10. Solve -x = n + 2*n - 1, -k*x - n = 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, a: 1, h: 2, g: 2, v: 1, q: 4}. What is prob of sequence dd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*y + 3*s, -s + 9 = 9*y - 6*y. Let o be (y\/(-8))\/(21\/420). Let i = 41 + -288\/7. Which is the biggest value?  (a) o  (b) i  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 773506, 1547017, 2320528, 3094039, 3867550?\n\"Answer: 773511*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 75 - 327644?\nAnswer: -327547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((1*sqrt(98)*1 - sqrt(98))*4 - (4 + sqrt(98) + sqrt(98)*2 + -4))*-6)**2.\nAnswer: 504*sqrt(2) + 31756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - 9. Let k = -6 - t. Let s = -6 - -9. What is the remainder when k is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.45 and 0.50621.\nAnswer: 1.95621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*1*5 - (sqrt(77) + sqrt(77)*-1 + sqrt(77))*-2)\/(4*(sqrt(112) - sqrt(112)*-4)).\nAnswer: 7*sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {v: 7, f: 3, x: 9}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pll when three letters picked without replacement from {l: 3, p: 2, s: 4, x: 2, g: 7}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 151.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 811.9 * -819.\nAnswer: -664946.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.7 - -0.7. Which is the nearest to -2\/7?  (a) -0.3  (b) y  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4011002 greater than -4011001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -79 - (-92 + 141 + -68)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1480 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -5*h - 35, -31*h + 2*u = -26*h + 30 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*y + 4*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + k = 0. Suppose -3*s + k*s + 30 = 0. What is the lowest common multiple of s and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25848 = 3*t + 3*k, -966*t - 3*k - 25878 = -969*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3592168*l**4 + 4*l**3 - 253981859*l**2 wrt l?\nAnswer: -86212032*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -23 + 3d4e?\nAnswer: 3d2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 37 - 36.961. Let p = b + 66.961. Let j = p + -67.00000054. What is j rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r + 51*r = 370 + 327 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 250*a - 5226. Give d(21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - -2. Find the common denominator of -17\/7 and u + 12\/(-11) + -1.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p - 5. Let j be n(-10). Let x be (-6)\/(-2*1\/(-2)). Let y = x + j. Is 1\/5 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a - 61 + 6 + 5*a - 9*a.\nAnswer: -6*a - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -211341 (base 6) in base 15?\nAnswer: -5167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 0*q = 12. Let h = 2.1 + -2. Which is the closest to h?  (a) -1  (b) 2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 - -17. Suppose -69 = -4*m + y, 0*m + 22 = m - q*y. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*v + 19*v = -j + 61, 0 = -2*v - 5*j + 35. Calculate the remainder when 358 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1703 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-6\/7)\/u))**(13\/8) assuming u is positive.\nAnswer: u**(169\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17*c**3*v**3 - 3*c**3*v**2 - c**2*v**2 wrt v?\nAnswer: 102*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -349 - -816. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 41410324 and 14686.\nAnswer: 2098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 3*t = -123. Let q = 47 + t. Let z(l) = -q + 2*l + 0 + 9. Let g(h) = -1. Give 6*g(c) + 2*z(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 545807963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 PM and 11:17 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/2  (b) -0.3  (c) 10.53  (d) -8  (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxuxxgoouxxx. Give prob of picking 1 g and 2 u.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-93)\/12)\/((-6 - 2)\/576). What is the highest common divisor of f and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1023 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40 + -20. Solve 4*c + 8 - t = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 171658.\nAnswer: -3\/171658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2b - 446b?\nAnswer: -4499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 2*c - 569 = c, -2*k + 4*c = -232. Suppose -k = -2*j + 116. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180968624641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -3*v - 1, -3*v = -2*q + 9. Let d(j) = j**2 - j + 0 - 2*j - 2. Is d(q) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 518.3 + -518.19014. Let l = -0.111 + h. Round l to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(252)*-3 - sqrt(252)) + sqrt(252))\/(-1*sqrt(63)))\/((1*sqrt(120)*3)\/(sqrt(40)\/sqrt(4)*-2 + sqrt(10))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3590 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -22\/17*k - 2\/17*k**2 + 24\/17 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 672 by -28.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in -3, -5, -773, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5323.\nAnswer: 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/9, 12, 22?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2193370 to the power of 1\/2, to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 9*t + 11129 = 11350, 34 = -o + 2*t for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {u: 1, r: 1, w: 1, t: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9478203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/10)\/(-3)*645\/2838.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 2:17 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + 10. Calculate the remainder when 860\/20*(-1 - -2) + -2 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 192 = -2*q - 366, 2252 = -4*s - 4*q. Let v = s - -1215. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 4*p. Let b(z) be the second derivative of 1\/10*z**5 + 1\/15*z**6 + p + z + 0*z**2 - 1\/6*z**4 - 1\/3*z**3. Factor b(n).\nAnswer: 2*n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - sqrt(50))*-3 - (-4 + sqrt(18))**2.\nAnswer: -34 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*b - 9*b - 12 + 8*b + 13 + 9*b.\nAnswer: 16*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2012133120331 + -2?\nAnswer: -2012133120333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*j - 60*j - 3203 = -683. What is the greatest common divisor of j and 1016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -7*x - 1. Let m(d) = -5*d - 30. Let t be m(-5). Let z(a) = -10*a - 1. Calculate t*z(b) + 7*c(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 404167409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18016\/9 + -1995. Suppose -k - 16*k = 2618. Calculate the common denominator of c and (74\/10)\/((-1)\/(55\/k)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 440 (base 5) to base 14\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 8*l. Suppose -2*r = -5*t + 4, l = -2*t - 0*r + 5*r - 11. Let n = -0.8 - -1. What is the closest to n in t, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 74 + -86. Let d be ((-20)\/x - 2)*237. Let o = d - -83. Solve 5*n + 4 = o*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14381 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.9?  (a) -2\/13  (b) -0.2  (c) -1\/2  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + 1 - (-5 - -3). Suppose 4*a = v*r + 19, 2*a + 2*a = -r - 1. What is the units digit of (a - -1)\/2*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3574 is divided by 835.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 93536.\nAnswer: 1028896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2  (b) -2.255  (c) -3  (d) -0.2  (e) -15  (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.05 smaller than 1\/278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 400667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3492750, 3492751, 3492760, 3492783, 3492826, 3492895?\nAnswer: 3492996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1984 - 1245 - 2783 = -334*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -2*a + 5*c, -11 = a + 2*c + 3*c. Let d be (-327)\/4*16\/a. Suppose -5*k + d = 3*v, -k = 4*v - 4*k - 339. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15034?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 4*i, 5*a - 2*i - 80 = 0. Is (-4)\/(a\/(-12)) + 292 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-917)\/(-2620)*(-35)\/(-441)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 474 divide 1253439460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 144545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 5*h + 33. Let c = 18 + h. What is the remainder when (-3552)\/(-176) + 2\/(-11) is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -30 - -34. Suppose 2*z + 4 = 5*f, -2*z = 6*f - y*f + 4. Sort z, 5, 7 in increasing order.\nAnswer: z, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30564\/7 - 4366. Which is the closest to 9\/10?  (a) -8  (b) k  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 68563328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 4*q - 6. Let f be c(7). Suppose -2*x - 5*i + 3 = 0, i + 1 = -0. Let n = x + f. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 2:18 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2 = 0, 0*u - 3*u + 8 = 2*o. Let t(g) = 7*g**2 + 13*g**2 + 138*g - 4 + 1 - 135*g. Is t(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wzzzzwzz. What is prob of picking 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (-24)\/9*777\/(-28) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kjjk when four letters picked without replacement from kjjkkjjjjj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*((7\/(-1))\/(-7))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 635583711 to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(1\/7)*r**(1\/7)*r**(3\/4)\/r*r\/(r*r**6)*r*((r**(-2\/33)*r)\/r**(-2\/5))**(-11) assuming r is positive.\nAnswer: r**(-8273\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*c + 62*c = 4 - 4. What is o in c*o**4 - 2\/3*o**5 + 0 + 0*o**2 + 2\/3*o**3 + 0*o = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20680 + 20923. Calculate the highest common divisor of 159 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 80*k + k**2 - 45*k**4 + 1 - 3*k**2 - 806*k + 44*k**4 in the form b*k + u + s*k**2 + q*k**4 + t*k**3 and give b.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37 + -16. Let v(d) = -d - d + 6*d + 7*d + y. What is the tens digit of v(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 28, 0.032, 3, -18?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 1243 + 263 = 0. Let z = -14566 + 14761. Which is smaller: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 633811463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the third derivative of j**4\/3 - j**3\/2 + 4*j**2. Is 3 a factor of o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - -5. Suppose h - 36 = 36. Let x = r + h. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21052, 21056, 21072, 21106, 21164, 21252, 21376?\nAnswer: 21542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -4*c - c. Suppose -c*f - 7*b + 3*b = -23, 2*f - 5*b + 4 = 0. Suppose f*n - n - 174 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of -d**9\/37800 + d**7\/6300 + 5*d**4\/4 - 3*d. Let q(w) be the third derivative of c(w). Let q(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 127, 196, 351, 634, 1087?\n\"Answer: 7*i**3 + i**2 + 17*i + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {d: 2, b: 2, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/7866 and 87\/874.\nAnswer: 7866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 - 12*c**2 - 10*c + 14. Suppose 15*h - 14*h + 11 = 0. What is the smallest common multiple of a(h) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**0*c*c**(-2\/11)*(c**(-4\/5)\/c*c)\/c*c**(-1))\/((c**(1\/4))**(1\/48)*c**(-3)*c*c**4) assuming c is positive.\nAnswer: c**(-31543\/10560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 97715 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of j**4 + 6630*j**3 + 14*j**2 - 163*j?\nAnswer: 24*j + 39780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 693064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4981\/3762 - 1\/171. Calculate the common denominator of o and -2 + (-852)\/160 + (-1)\/(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10113 + 10386050\/1027. Is j at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3*v**2 + 584*v + 7603. Give a(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 - 68 - 48 = -34*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 (base 13) in base 12?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 505244 (base 9) to base 10\nAnswer: 299092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 32. Suppose -4*y = v - y - 19, -2*v = -5*y + t. Let r(u) = -u**3 - u + 2. What is the remainder when v is divided by r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10.9 + 11. Which is the closest to 1\/4?  (a) q  (b) 9  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 116996506 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 335.299296+0.1\nAnswer: 335.399296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 219422641.\nAnswer: 2003, 109547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 5*o - 10. Let p = -14 - -7. Let c be t(p). Suppose 0 = -2*l + 2 + c. Solve l*a - 8 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 225217519*w**3 + 61803939 wrt w.\nAnswer: 675652557*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 14 - 4 = 0. Suppose 0 = 6*c - f*c - 7. What is the third derivative of 10*j**2 - 7*j**2 - 5*j**5 - c*j**2 wrt j?\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h + m - 7 = -5*h, -5*m + 25 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 - 5*f**2 + 8*f - 10. Determine v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8348 times -148.7?\nAnswer: 1241347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 3*c**3\/5 + 26412*c**2\/5 - 1301247*c\/5 + 1274832\/5 = 0.\nAnswer: -8853, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -321*n + 5. Let h be v(0). Let k be 2\/4 + 1\/2. Let m be k\/(-4) - (-21)\/36. Which is the second smallest value?  (a) h  (b) -0.4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 1:20 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a - -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.41 - -0.59. Which is the nearest to -0.2?  (a) o  (b) -4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 - 1)*(-z + 0*z + 3*z)*(1 + 53*z - 79*z + 243*z) to g*z**2 + w + c*z and give g.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j + j + 3*j + j + 4*j - 3*j + (2*j + 3*j - 3*j)*(2 + 3 - 4) - 2*j + 2 - 2 + 9*j - 4*j - j + (2*j - 3*j + 3*j)*(-4 + 1 + 5).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of -l**7\/840 - l**6\/160 - l**5\/120 + l**2 + 96. Factor i(h).\nAnswer: -h**2*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 - -1)\/(1 + -2). Suppose -4*i - u + 7 = 0. Let w = 4 - 2. Put -0.1, i, w in increasing order.\nAnswer: -0.1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 0.4, 0.1851, -0.01?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 2*d - 98 = 262, -72 = -n - 4*d. Let p be ((-2)\/n)\/((-3)\/(-919722)). Let a = p + 8513. Calculate the common denominator of a and 19\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 199011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -37.8 times -0.6\nAnswer: 22.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5449, 34193, 62937?\nAnswer: 91681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16456 and 4675.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 3*a - 2. What is the tens digit of y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/8535 and -57\/20.\nAnswer: 34140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -94 + 157. Suppose 3*y = 6*y - b. Calculate the remainder when y is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*k = 2*k + 651, -2*k - 209 = -t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/73 in -4, 0, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/3 - 1*-18. Let u = z + -12. Solve -u = 5*r + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/5)\/(4\/15*24). Let g = p + -25\/144. Sort 1\/3, g, 3, 0.4 in increasing order.\nAnswer: g, 1\/3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4941116802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 104469 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, t: 13}. What is prob of sequence tt?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f - 1. Let x(m) = 4*m + 4. Let b(v) = -5*v - 5. Let k(c) = 5*b(c) + 6*x(c). Calculate 6*j(g) - 5*k(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1989826188 divided by -3\nAnswer: -663275396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4753 and 784?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 21032.241 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -3*o. Let q be m(-1). Let b(d) = -6*d - 5. Let g(r) = 13*r + 10. Let l(y) = q*g(y) + 7*b(y). Differentiate l(h) with respect to h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -5*h + h. Let s = 455 - 276. Suppose -s = -46*q + 189. Solve -4*u = -q*u - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 542\/690 - (1\/1 + (-6 - -6)) and -71\/3.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/121 and 17\/66.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -1 - (3 + 3 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 77671300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1578 less than 0.03033?\nAnswer: -1577.96967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5037291326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4136, -3901, -3666, -3431, -3196?\nAnswer: -2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = x + 5*r, 2*r = -2*x - 0*x + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3612?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.136 minus 463376?\nAnswer: -463377.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l**2 + 11*l + 10. Let a(m) = -2*m**2 - 7*m - 7. Let d(o) = 7*a(o) + 5*q(o). What is the least common multiple of d(-7) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 145 by -77.\nAnswer: -145\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ikikkkkkikiikk. What is prob of picking 1 k and 2 i?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*a**4 - 214*a**3 + 9096*a**2 wrt a.\nAnswer: -144*a - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l. Let i(k) be the second derivative of k**4\/6 + 4*k. What is i(m(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/((-435)\/(-29)) + 10\/(-4)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 559293 at least as big as 559304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*2*(sqrt(288) + 0)*-6.\nAnswer: -864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3 - 39248*m**2 + 78492*m.\nAnswer: m*(m - 39246)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2439 + 2438.98767. Round d to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(66)*6)\/sqrt(3))\/(sqrt(200)*-6)*-3)**2.\nAnswer: 99\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8554.68 take away 129830977?\nAnswer: -129839531.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*b + 1514 = -20*b. Let y = b + -515. Calculate the greatest common divisor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -7*m**3 - 2*m**2 + 32*m + 134. What is the remainder when n(-4) is divided by 114?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -2*q. Let c(u) be the third derivative of 13*u**4\/6 + 3*u**2 + 29. Calculate c(w(g)).\nAnswer: -104*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 505 + -505. Let k(b) be the first derivative of 2 + p*b**4 - 16\/5*b**5 + 0*b**3 + 0*b**2 - 14*b. Find the first derivative of k(o) wrt o.\nAnswer: -64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence it when two letters picked without replacement from its?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -5*g - 62. Let s(q) = -22*q - 314. Let k(m) = 3*s(m) - 14*z(m). Give k(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52\/55 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - -9 - -9) + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 85 - 81. Put -2, d, -0.4, 0.63 in descending order.\nAnswer: d, 0.63, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -4*((5*-2*sqrt(288) - sqrt(288)) + (sqrt(288) + (sqrt(288) + -1 + sqrt(288) - sqrt(288))*6)**2 + 0) + 4.\nAnswer: -56583 + 4560*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 5, -2\/9, 3\/4, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 7:05 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -d**3\/3 - 5*d**2\/2 + 7*d - 2. What is the smallest common multiple of 3 and f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 6*f**3 - 12*f + 11. Let y be c(1). Suppose -y*h + 4*m = -60, -6*m - 2 = h - 4*m. What is the remainder when 21 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -13552*j**2 + 98. Let f(d) = 695*d**2 - 5. Determine 98*f(b) + 5*n(b).\nAnswer: 350*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3356306 is divided by 1244.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of o**3\/6 + 1652*o. Let a(p) = -82*p**2. Determine a(c(z)).\nAnswer: -82*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from xnorcch.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 9) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.8002 - 0.1998. Which is the closest to 1\/2?  (a) 5  (b) 1  (c) 6\/31  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (96\/(-1104))\/((-3538)\/(-2806))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101 = 6*d - 223. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from laxhhhohoyahohl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + 1. Let d = -1\/320 + 1099\/146880. Let x = 4894\/459 + d. Do x and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - -20. Suppose -9 = -b*l + 20*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.8*-0.1.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -45 + 48. Let d(k) = -k**f - 12*k - 14*k + 19*k**2 - 7 + 11*k. Is d(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 - 7*d + 8. Let x = -6 - -12. Let m be n(x). Suppose -5*t + 36 = -4*b + 161, -m*b - 4*t = -56. Calculate the greatest common factor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-9)*k)\/(k*k*k**(-10\/9)\/k*k))**(-11)\/((k*(k**(2\/5)*k*k)\/k)\/k**7*k**(-6)\/(k\/(k*(((k\/k**(1\/10))\/k)\/k)\/k*k)*k)) assuming k is positive.\nAnswer: k**(9943\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1020213 (base 5) to base 3\nAnswer: 212020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 5) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)\/((sqrt(9) + -3*sqrt(9) + sqrt(9))*4).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (30\/12)\/((-2)\/4). Let y = u + 9. Solve -z = 2, -y*l - 2 = -z + 4*z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4404, -4410, -4430, -4470, -4536, -4634?\nAnswer: -4770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -265.9?  (a) 4  (b) -30  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x - 1. Let o be s(-6). Suppose 0 = -o*b + b + 20. What is the remainder when 9 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from agk. What is prob of sequence ka?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243*j - 711 = 322*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -50*h. Let i(j) = -6*j**2. What is t(i(n))?\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g**2 - 1 - g**2 + 3*g**2 - 2*g + (-8*g - 27 + 27)*(-4 - 2*g + 4) - 6*g**2 - 4*g + 4*g.\nAnswer: 12*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w + 1. Let f(p) = p**2 + 9*p - 11. Let l be f(-11). Suppose 5*g + l = 1. Let q be n(g). What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8295051.\nAnswer: 3, 131, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -40 + 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 138440\nAnswer: 1\/34610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 564 = 4*z, -b + 6*b + z - 923 = 0. Which is smaller: b or 188?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 40 = 5*w, 22 - 4 = 3*t - w. Suppose 5*a = 3*j - 37, -5*j - 3*a + 0*a = -t. Solve -j*h + 4*f = -16, 2*h - 14 = -3*f - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + -2)*(1 - 0). Let k be 28*(3 - w\/(-2)). Let x = 3 + -1. Solve -t - x*t - 4*h + 10 = 0, t = -4*h + k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gr when two letters picked without replacement from sggqqsoqorqrrtoooqqo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hooh when four letters picked without replacement from {a: 7, h: 3, o: 3, p: 6}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 17744*d**2 - 2*d + 1. Let j(g) = 3*g. What is j(h(l))?\nAnswer: 53232*l**2 - 6*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 7456932\nAnswer: -1\/1864233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6279 is divided by 3035?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1200 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.207075mg in tonnes?\nAnswer: 0.000000005207075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 13 - 5 = -b, 0 = 2*g - 5*b + 18. Put 5, g, 11 in decreasing order.\nAnswer: 11, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4049*o + 4018*o - 16260*o + 4035*o + 4051*o.\nAnswer: -107*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 5*h - 53. Determine q(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h. Let s(b) = -2*b**3 + 4*b**2 + 2. Let r be s(2). Let v(u) = -2*u**2 + 52*u**2 + 42*u**r. Determine v(k(c)).\nAnswer: 368*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*h*s**3*y - h*s**3 + h*s**2*y - 3*h*y + 14*s**3 - 38*s**2*y wrt s?\nAnswer: -12*h*y - 6*h + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 969025493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - -4 - (9 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*n + 2*d, 5*n + 4*d = n - 16. Let b be 1 + 1*1\/n. Suppose j + j = b. Which is greater: j or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 12 = v, 0 = u - 2*v - 2*v - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {o: 3, q: 1, w: 1, t: 5, v: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 509 is divided by 168.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**8*j)**(-5\/13)\/(j\/(j*j**(-2\/61)))**(-16\/3))**(10\/13) assuming j is positive.\nAnswer: j**(-87340\/30927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*45470.\nAnswer: 272820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -215 + 237. Put -0.1, 3\/2, l in descending order.\nAnswer: l, 3\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -4  (c) 5\/9  (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10 + -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 209*u**5 - 4117*u**3 + 66*u + 88982.\nAnswer: 4180*u**3 - 24702*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -0.2  (c) 1\/6  (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 27.3, 2\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1834665801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (17\/(-51))\/((-16)\/6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.733 - 0.7330000197. What is j rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -26527, -26532, -26539, -26548, -26559, -26572?\n\"Answer: -y**2 - 2*y - 26524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - -9a1268?\nAnswer: 9a1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((22475\/(-348))\/155)\/(25\/8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*d*v**2*w + 2*d*v**2*x - 2*d*v**2 - 109*d*w - d + v**2 - 2*v*w + w*x wrt w?\nAnswer: -2*d*v**2 - 109*d - 2*v + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4*16709225\nAnswer: 66836900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8706384?\nAnswer: 2, 3, 103, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g - 5. Let s(j) = 5748*j**2 - 11. Calculate k(s(p)).\nAnswer: 5748*p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -309206 - 0.5.\nAnswer: -309206.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 10:29 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-16819)\/396 - (-3 - 75\/(-27)))*-4 is divided by 154.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 - ((1 - 1) + 18). Let s be 8\/28 - (-132)\/c. Let j be (-1 - 0) + (s - -7). Is -5\/7 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-72)\/(-80))*-5*(-648)\/675\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-114)\/27 - -4)*(69 - 71)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 58\/3 and -23\/1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 56860, 4, -34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 times 1.7?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 94092.495 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - d - 6 = p, 5*d + 5*p = 30. Let w = 6 + d. Calculate the highest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p - 7. Let x(h) = -2. Determine f(g) - x(g).\nAnswer: g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 94 = 5*l, 5*l + 3*s - 98 = -0*s. Suppose 25 - l = t. Suppose -t*f = -0*f - 417. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 818 = -4*f, f + 13 = 2*b + 230. 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 (-20*11\/264)\/((-1)\/2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 PM and 5:11 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-184)\/(-322) + 90\/14. Put -3, 6, 3, l in ascending order.\nAnswer: -3, 3, 6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001100 + -10?\nAnswer: -10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38136210.\nAnswer: 2, 3, 5, 7, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 41*f + 8. Is 18 a factor of z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 44 by -20.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 121 + -11114214?\nAnswer: -11114043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24024230 + 40?\nAnswer: -24024140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1563*a**2 - 504*a**2 - 548*a**2 - 522*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*j + 271 - 947 = 0. Solve -9*r + 31 = j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-13 + 4 - -3 - (59 - 88))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 2901.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 6672 = 24*v + 6650 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*s - 15 + 7 + 8 - 278*s to the form r + h*s and give h.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p**(5\/6))\/(p\/(p*((p*p**(2\/89))\/p)\/p*p)) assuming p is positive.\nAnswer: p**(1525\/534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1244 + -605. List the prime factors of k.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 50636\/(-37977)*((-20)\/14 + (-2 - -3)). Suppose 4\/7*d**3 + 0 - 8\/7*d**2 + m*d = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 3*g + 88696, 4*i - 2*g + g - 70954 = 0. What are the prime factors of i?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 145084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/1323304 and -109\/31210?\nAnswer: 6616520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 15285*g - 917097. Give o(60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 80\/50 - -4*(-2)\/(-20). Solve -2*f + 9 = 5*k, -l - 2 = -f - 2*k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.352 - -1301.148. Let b = k - 1306.42783. Round b to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hrhh when four letters picked without replacement from hhrhdidhrdq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 5*i**2 + 14. Let v(w) = -w**2. Let z(m) = j(m) + 4*v(m). Let c be z(0). Let a = 24 - c. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from pxtpzptpgpzxppxphzp?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -13) + (-45 - -34).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -479 + 479.05129. What is u rounded to three dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 961996 and 3332?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24607, 24577, 24527, 24457, 24367, 24257, 24127?\nAnswer: 23977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/l**(-13\/4)*l\/(l**(-1\/5)*l)*l*l*l*l assuming l is positive.\nAnswer: l**(169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**(-2\/5)\/k*k))\/k**(-3\/4)*k**(-3)*(k**(1\/3)\/k)\/k*(k**5\/(k*(k\/((k*k**(2\/15)\/k)\/k))\/k*k*k))**(1\/15) assuming k is positive.\nAnswer: k**(-2197\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -6*h + 36. Suppose 0 = -4*a + 2*a - h. Let b = -6 - a. Solve -3*v = o + 7, 0 - b = 5*o - v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z + 1260323 = 1260368 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3 - 240*d**2 - 9600*d - 128000.\nAnswer: -2*(d + 40)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 - 8*a + 2. Let j be z(-8). Factor -2*n**4 - 8 - 12*n**j + 24 + 8*n - 12*n**3 + 2*n**3.\nAnswer: -2*(n - 1)*(n + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2585 in -1, 1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -5*u + 1005, -15*d = 4*u - 20*d - 837. List the prime factors of u.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 4 - 14. Let s(p) be the second derivative of -p**4\/12 + 7*p**3\/6 + 3*p**2 - p. Let m be s(7). Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03493 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-2))\/(((-2655)\/(-54))\/(-59)*3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 7*o + 11 = 4*g, 4*o + 24 = 5*g. Suppose -g*m - 8472 = -5*h, m - 4364 - 2422 = -4*h. Is 106 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 - 4*l + 79. Determine y(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w + 0 + 4*w + 5 - 1 as u + s*w and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 320 and 29056?\nAnswer: 145280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 11, -1, -3 in decreasing order.\nAnswer: 11, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -385650*a + a**2 + 385650*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 154616 - -1?\nAnswer: 154617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1034766 is divided by 6763?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -185*b + 7. Let u(r) = -93*r + 4. Give -6*c(g) + 11*u(g).\nAnswer: 87*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -y + 89, -48 - 24 = -3*t + y. Suppose -t = -s - 4*x, -7*s + 3*s = -x - 7. What is the third smallest value in s, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00005149 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2724*j**5 - j**4 + j**3 - 3*j**2 + 11*j - 1.\nAnswer: -163440*j**2 - 24*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -19. Suppose 8*f - 3 = g*f. Suppose -3*t + 45 - 36 = 0. Solve 0 = t*w - f - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 467173*n**2 + 30*n + 165155259.\nAnswer: 934346*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (70*x - 635 + 1269 - 636)*(5 - 3 + 0) + (0 + 0 - 1)*(0 + 1 - 3)*(4*x + 4*x - 4*x).\nAnswer: 148*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 22.64, -6599, 0.1 in descending order.\nAnswer: 22.64, 0.1, -6599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(110)\/(sqrt(250) - sqrt(10)) - (sqrt(22)*1)\/sqrt(2).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t + 42 - 7 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 7*q + 1. What is the remainder when x(3) is divided by 30\/4*16\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 650*v - 100 = 640*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**5 + 5484*d**4 + 240908*d**3 + 3243156*d**2 + 12788216*d = 0. What is d?\nAnswer: -19, -17, -7, 0, 1414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**4 + a**2 + 2*a - 1. Let i(o) = 113*o**4 - o**3 - 1147*o**2 - 12*o + 6. Let p(h) = -6*g(h) - i(h). Find the third derivative of p(n) wrt n.\nAnswer: -2856*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 4 = 5*l - 37, 5*d - 2*l = 10. Let t(y) = d*y - 4*y**2 + 5*y**2 - 1 + 0 - 3. Let u be t(-5). Is -1\/6 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + x - 2. Let h = -19 - -20. Let q(m) = -14*m - h + 26*m - 13*m. What is d(s) - 2*q(s)?\nAnswer: s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13685 and 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - -1)*21\/3. Let g(d) = -20657*d**3 - 4*d**2 + 8*d + 1. Let v be g(s). Let y = -4085490 - v. What is y rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538143 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 164*m - 453. What is b(9)?\nAnswer: 1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -222 - -227. Suppose -l + 0 = -5. What is the lowest common multiple of a and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 605244659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 36767 - -4?\nAnswer: 36773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -3*y**2 + 3936*y - 1291008 = 0.\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 3*q - 571, 0 = -3*q - 2*p + 110 + 465. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5881?\nAnswer: 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -532 = n - 438. Let a = n - -99. Solve -10 = -2*o - 0, 0 = -4*r + a*o - 29 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(187)\/(1*sqrt(396)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from smfis. What is prob of picking 1 i and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 7426988.\nAnswer: -37134940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 221, 340, 429, 482, 493, 456?\n\"Answer: -h**3 - 9*h**2 + 153*h + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 11400 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5089*t + 20655 = 4324*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = f + 4*q + q, -5*f - 2*q = 7. Are f and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 8513*x + 8555*x + 8614*x - 25833*x. Let z(w) = w. Calculate z(h(r)).\nAnswer: -151*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -5*m**3 - 4*m**2 - m + 2. Let w be i(-2). Suppose -729 = 533*u - 536*u. Suppose -u + 178 = -5*x. Solve -4*y = -4*z - w, -3*y = -4*y - 3*z - x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -3, 0.4, 24\/11, -4?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 118, 0.5, -73, 1\/3, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 10 + 94 = -2*h, z + h = 18. What is the highest common factor of z and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2 - -1.8. Sort -1\/4, -8, c, 4\/5 in decreasing order.\nAnswer: c, 4\/5, -1\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40304 (base 5) to base 8.\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 8. Let o = 2\/71 - -63\/284. What is the second biggest value in -0.2, s, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -54  (c) 27\/8  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 14 - (52 - 56)) + 0 + -21.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of 2*i**3\/3 - i**2\/2 + 56*i. Determine k(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 2*m = -3*m - 3, -4*q + 29 = -5*m. Let g be (-5 + q)*3\/22. What is the fourth biggest value in -1\/7, g, 2\/29, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3\/255583?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-2\/17)*p\/(p*p**7\/p*p*p)*p**(2\/5)\/p*p**(2\/27)*((p**(2\/13)\/p*p*p)\/(p\/p**(2\/9)))**(-3\/19) assuming p is positive.\nAnswer: p**(-4933399\/566865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w = 7*w + 63617 + 120015. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8802009 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.217 + 18638.441?\nAnswer: 18640.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -594*o**3 - 2*o**2 - 4*o. What are the prime factors of z(-2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1696616 and 586276?\nAnswer: 2414284568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 16576622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p**3 - 8*p**3 - 3*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -6*n + 71. Suppose -4*o + 157 = 4*m - 7*o, 3*m - 114 = o. Let x = m - 31. Calculate the remainder when x is divided by r(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52450723*u**2 + 2*u - u + 7093592*u**2 - 2*u**3.\nAnswer: -2*u**3 - 45357131*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 13, w: 1, g: 1}. Give prob of picking 1 f, 1 g, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 + 7679669702?\nAnswer: 7679669701.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-9))\/((-2)\/(3*2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/13 + 89666*d**2\/13 + 11533632*d\/13.\nAnswer: 2*d*(d + 129)*(d + 44704)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-80)*1*20\/75?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(20)\/(sqrt(16)\/sqrt(4)) - sqrt(5)) + (sqrt(720) - sqrt(720)*1))**2 + 2 + sqrt(20)\/sqrt(4)*-1 + sqrt(140)\/sqrt(7).\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 115166, 115170, 115176, 115184, 115194?\nAnswer: 115206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of -f**3\/3 + 7*f**2\/2 - 4*f + 2. Let a be t(7). Sort -2, -3, a in ascending order.\nAnswer: a, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -787652, -787543, -787434, -787325?\nAnswer: -787216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1331.4867ns?\nAnswer: 0.000000022191445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 44571696 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 65*m**2 - 2*m + 10. Let g be u(5). Suppose -g - 176 = -y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -9602 + 4793 + 4799 - 12*s. Give q(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 2:59 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 79413365 a multiple of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -225 - -148 - -74 - 44?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -5*r - 42. Let w be v(4). Which is smaller: w or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 - 10*j - 1. Let q(y) = -2*y**2 + 2*y + 2. Let r be q(-2). Let a be m(r). Let w(o) = 6*o**2 + o + 2. What are the prime factors of w(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2249430897 and 9114?\nAnswer: 4557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 201009446*d**2*j*z**2 - 170*d**2*j*z - 21*d*j + 1219*z wrt z?\nAnswer: 402018892*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of -5*p**7\/42 - 32*p**6\/3 - 184*p**5 + 3840*p**4 - 17280*p**3 - 768*p. Factor h(l).\nAnswer: -5*l*(l - 4)**2*(l + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2231196937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -1\/2, 4, 19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.9749 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 491 - -12934. Is 154 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (56\/72 + -1)\/((-4)\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -772 - 182.4405156.\nAnswer: -954.4405156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 3 = 3, 4*l + 45 = -3*w. Let a(c) = -c - 25. Let y be a(w). Let m be (y\/(-4))\/((-51)\/(-17))*0. Solve 0 = -2*s + 2 - m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 97569*j**2 + 12*j - 24. Let u(d) = -39029*d**2 - 5*d + 10. Calculate 12*u(k) + 5*v(k).\nAnswer: 19497*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 AM and 8:05 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1043958740 and -522760.\nAnswer: 1043435980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21 + -18. Suppose -5*n = -4*n + 3*t + 15, -x*n + 25 = -5*t. Suppose -2*j = -5*j. Solve j*m - m = n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 times -2547.3\nAnswer: 38209.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27.8 + -28. Let r = -0.16 - -1.46. Let x = 1.7 + r. Which is the second biggest value?  (a) 1  (b) x  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1271829?\nAnswer: 3, 13, 32611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 12:05 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -531 divided by -3\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + (-3 - -1 - 8). Let p be (g\/8 + 2)*16. Let m(v) = v**3 + 42*v**2 + 443*v + 67. Let k be m(-20). Solve -k*d + 11*d + p = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-3) - 208\/(-24). List the prime factors of 398\/l - (-38)\/(-171).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 3*s**2 - 41*s - 11. Let n be r(14). Let t be (-12)\/(-3) - n - (-72)\/(-81). Sort t, 3, -2\/13 in decreasing order.\nAnswer: 3, t, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2134 a factor of 11803154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 0 - (-5 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 495 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 40*6\/9*3. Let a be 3\/6 + (-4946)\/z. Let x = 557\/8 + a. What is the common denominator of x and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/5)*f**(7\/5)*f)\/((f\/f**(-2\/15))\/(f\/(f*f**(-2\/3)))) assuming f is positive.\nAnswer: f**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 527*w - 541*w = 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*d**4 + 2870*d**3 - 406055*d**2 - 408930*d = 0. Calculate d.\nAnswer: -1, 0, 258, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.2  (b) -1\/23  (c) -6385\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/19, -24\/11, 96\/25?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 294 - 872\/3. Calculate the common denominator of 1\/2 + 23\/(-18) and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -90?  (a) 25  (b) -1  (c) -3  (d) 54\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 1 - ((-1 - -2) + 2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of p**2*r**3*w**3 + 3*p**2*r + 490*p**2*w**3 - 2*p*r**3*w + 2*p*r**2*w**2 + 4*r**2 + 22*r*w**2 + 2*w wrt w?\nAnswer: 6*p**2*r**3 + 2940*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 592 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0411 minus 1508?\nAnswer: -1508.0411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 2 = 4*q - 2*l, -2*q - 5*l = -17. What are the prime factors of (-10 + -228)\/(2\/(-3 + q))?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/15)\/u**(2\/3)*(u*u**0)**16)\/((u*u\/(u**(1\/4)\/u))\/(u**(2\/7)*u)*u**2*u*u*(u*u**(2\/23)\/u*u)\/u) assuming u is positive.\nAnswer: u**(31069\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ga when two letters picked without replacement from fwcfclagccafallfla?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 698248 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -90531 - 541*h + 90531 as m + b*h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 = 9*c + 65. Solve 9 = 4*k - c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0.2, 2\/7, 13.\nAnswer: 0.2, 2\/7, 0.4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -5  (b) -4  (c) -9  (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19237293 is divided by 238.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 9.392979 months?\nAnswer: 0.078274825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001873028 rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*s - 0*s. Suppose s*q + 2*q - 210 = 0. Let m(v) = 2*v**2 - 2*v + 2. Let z be m(2). Calculate the highest common factor of z and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 159175*b**2. Let i(a) = -15*a. Determine i(x(q)).\nAnswer: -2387625*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 44, 65, 106, 173, 272, 409?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-2*sqrt(38)\/sqrt(2) - (-1*sqrt(76) - sqrt(19) - (-1 + sqrt(171))))*-6.\nAnswer: -48*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, o: 2, d: 8, l: 9}. Give prob of picking 2 l and 1 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = 3*p - 12, -57*g + 61*g - 8 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1665 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 1353 in increasing order.\nAnswer: 1, 5, 1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -2\/9, -2\/13, 12\/35, 2 in descending order.\nAnswer: 2, 12\/35, 0.2, -2\/13, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 - 5*a + 7. Let m be q(-7). Let n be (m\/(-2) - 2)*(-1886)\/(-123). Solve -3*f = -8 + n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*z + 52920 = 69*z - 52*z. What is the greatest common factor of z and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 3*k**2 - 17. Let d be f(-7). Let h = 133 - d. Suppose 0 = 3*b - 2*b + 4*t + 8, -2*t + 6 = h*b. Solve -b*c - 2*l = 4, 3*c = 5*l + 3 + 7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/18 - 1 - -2. Suppose -4*w = -3*l + 1 + 3, 12 = 4*l - 4*w. Let b(q) = q**2 - 7*q - 7. Let u be b(l). Are v and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnbnnbnnnnnbnnnnbnb. Give prob of sequence bbbb.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 335468106.\nAnswer: 2, 3, 17, 173, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*(3 - (-326)\/(-110)). Let j = 0.38 - 0.08. What is the second biggest value in j, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**9\/(p*p**(3\/4)*p))\/(p\/(p*p**6*p*p)*p**(6\/11)\/p*p) assuming p is positive.\nAnswer: p**(603\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 + 3*v**2 - 3*v. Calculate h(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 30\/(3 + -4) + 0. Let u = 42 + h. Let d be ((-1)\/2)\/((-4)\/u). What is the third smallest value in 4, d, -2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 5:29 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 - 4*s + 2. Let d be w(-4). Let b(a) = -1 - 3*a - 3*a**d + 4*a**2 + 6. Give b(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = o - 16, 0 = -2*o + 15*z + 689 - 741 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -184930, -369929, -554930, -739933, -924938, -1109945, -1294954?\nAnswer: -1479965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -z**4\/4 + z**2\/2 + 9. Find g such that d(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4eed0 (base 15) to base 3.\nAnswer: -110212011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1531 = -389*z + 10258 - 2842 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2317 = -21*d + 812. What are the prime factors of d?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -6*g + 11*g**2 + 4*g - 6*g + g - 12*g**2 - 11. Suppose 3*l - 6*l = 24. Calculate c(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2935 is divided by 324?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 3:15 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 31203 (base 4) to base 12\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12919.82 - -13032. Round x to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12852 and 2380?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-21)\/g**(-4\/5))**6 assuming g is positive.\nAnswer: g**(-606\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 4, m: 3, v: 3, j: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.7, -590, -17\/5, 7\/3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*s - 15 = -39 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + sqrt(153)*2)*2)\/(sqrt(45)\/sqrt(125)).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a**(-2\/19)))\/a**(-16)*a**20\/a*a**4 assuming a is positive.\nAnswer: a**(743\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 AM and 6:12 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 22*(8\/(-14) + (-87)\/(-42)). What is the greatest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - d - 15 = 0, 14*n - 3*d = 13*n + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -8*l + 19. What is the remainder when n(-6) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.564 or 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-11)\/((-143)\/520) + -4. Let i be (-4)\/(8\/(-54))*1. What is the greatest common divisor of i and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18486634793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 424216455 to the nearest integer?\nAnswer: 20597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of -v**8\/168 - 2*v**5\/15 + 211*v**4\/24 + 62*v**2. Find the second derivative of q(f) wrt f.\nAnswer: -40*f**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and -291.97.\nAnswer: -290.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -325659 and -325631 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -825 + 1049. What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, z: 8}. What is prob of sequence zz?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9804b8 (base 12) in base 13?\nAnswer: 663230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 16) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-68)\/(-6))\/((-20)\/30). Which is the biggest value?  (a) -3\/4  (b) u  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -433.089 greater than or equal to -144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.49 + 0.29. Let l = 888.685 - 892. Let f = s - l. What is f rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + 1. Let b = x + -7. Calculate the common denominator of 101\/2 and (45\/8)\/(b\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1316.8 rounded to the nearest 10?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31 - -23. Let h = i - -19. Suppose h*g - 168 = 5*g. What is the least common multiple of 36 and g?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 506538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 49870028 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 385 is divided by 54.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 m when three letters picked without replacement from nmkmmnnmkmkk.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-124)\/4)\/31*(-84)\/(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -j, 0 = -5*l - 12*j + 7*j. Is l less than -1\/594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6206 - 447*d + 6206)*(3 + 2*d**2 + 4 + 1).\nAnswer: -894*d**3 - 3576*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 92 - 90. What is x rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**5\/10 + 123*d**4\/10 + 3841*d**3\/10 + 3477*d**2\/10 - 3721*d\/5 = 0. Calculate d.\nAnswer: -61, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 297714091?\nAnswer: 53, 5617247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3160 = 71*q + 245*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*q - 190 + 383 - 21*q**2 - 5*q - 191.\nAnswer: -21*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 2*n = 2, -5*o + 5*n - 9 + 4 = 0. Solve o = l - 4*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a*((a\/a**(-1))\/a)\/a)))**(-35)\/(a**13*a*a*a**14) assuming a is positive.\nAnswer: a**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-3))\/((-140)\/40)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*g*r**2*s - g*r*s - g*r*w + 39*g*s - 3*r**2*s*w + 22*r*s*w - 15*s - 13*w wrt w?\nAnswer: -g*r - 3*r**2*s + 22*r*s - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 3, -5, -9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)\/(sqrt(11)*3) + (-2 + sqrt(5))*6)**2 - (4*(sqrt(5) + ((1 + sqrt(45))**2 - sqrt(5))) + 0).\nAnswer: -176*sqrt(5) + 1445\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 71256936469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 710.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 12*c**2 - 11*c + 1. Let l be u(11). Suppose 0 = q + l - 3. Suppose d = q*p - 2*d - 55, p - 55 = -4*d. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 20 = -4*b, b = -5*d - 2 - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1274, -1289, -1294, -1283, -1250, -1189, -1094?\n\"Answer: a**3 - a**2 - 19*a - 1255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 13051 divided by 20\nAnswer: 13051\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 6*w**2. Let k(r) = -2*r**2 + 53*r + 19. Calculate k(x(a)).\nAnswer: -72*a**4 + 318*a**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**3 - 2 + 2)*(-1678*u - 1414*u - 1251*u).\nAnswer: 4343*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m**3 - 11*m**3 + 14 + 18*m**3 - 11.\nAnswer: 7*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 540, 618, 658, 648, 576?\n\"Answer: -2*a**3 - 7*a**2 + 113*a + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.061, -1\/3, 4?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 AM and 10:48 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 PM and 1:32 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 + 3)*(31 - 68 + 40*y**2 + 35)*(2 - 2 - y) + y**3 - 5*y**3 + 3*y**3.\nAnswer: -401*y**3 + 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 48 - 31. Let t = w + -13. Suppose 5*i + 5*r - 55 = 0, 0 = 4*i - 3*i + t*r - 14. Solve -i = -5*c - 0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -2*j**2 - j + 3. Let u be f(0). Solve 2*k + 11 = -u*k - 2*v, -3*k - 3*v = 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53\/15109 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1102*u - 9 + 42 + 39 - 2241*u + 1106*u to the form c + m*u and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of b**9\/126 + 4*b**7\/105 - b**5\/5 + b**3\/3 + 91*b**2. Find the third derivative of s(k) wrt k.\nAnswer: 480*k**3 + 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 134 - 137. Let b(j) = -10*j + 1. Let k(o) = 9*o. Determine y*k(a) - 2*b(a).\nAnswer: -7*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 218 = 133*l - 179*l + 1506 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 981818.9 + -1.8\nAnswer: 981817.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 + 17*d + 2. Determine y(-13).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -53*p + 112*p**2 + 11*p + 207*p**2 + 40*p to m + d*p**2 + q*p and give d.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9)\/(-4) + (-5)\/5. Sort a, 2, 1\/7 in descending order.\nAnswer: 2, a, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of 0*v - 62 - 7\/4*v**2 - 1\/6*v**3. Suppose r(a) = 0. What is a?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-20) - ((-3528)\/(-240) + -6). Let z(c) = 2*c**2 + 21*c + 15. What is z(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of -13*v**8\/336 + v**6\/30 + 37*v**5\/4 + 19*v**2 + 3. Find the third derivative of o(j) wrt j.\nAnswer: -780*j**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 3*k**2 - 137*k + 439. Calculate n(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - ((-8 - -1) + -5 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 AM and 10:31 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -846 divided by -282?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.978633l to millilitres.\nAnswer: 4978.633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((6 + -6)\/4)\/(-1 - 0). Suppose 5*n - 7*n + 26 = b. Let o(h) = 2 - n*h - 18*h + 35*h. Give o(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*p**2 + p - 26*p**2 - 2*p.\nAnswer: 54*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2\/37, -3, -199, 1\/4, 0?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 69, 2\/7, -2\/63, -4, 23, 11?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/1955 and 47\/265627.\nAnswer: 22578295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the second derivative of 2*m - 1\/3*m**3 + 0*m**2 + 0 - 17\/12*m**4 - 14\/15*m**6 - 43\/20*m**5. Factor w(c).\nAnswer: -c*(c + 1)*(4*c + 1)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 144226751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + -1 + 2 + sqrt(68) + (sqrt(68)*1 - sqrt(68)) + -4 + -3)**2.\nAnswer: -48*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.5 times -1130559?\nAnswer: -8479192.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-2) - 2)\/(5\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*n**3 - 73*n**3 - 4*n**2 + 18*n**3 + 0*n**2 + 26*n**3.\nAnswer: n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 + 4*u**2 + 4*u + 3. Let q be d(-2). Suppose -q*w + 30 = 2*w. Suppose -4*m - 16 = 4*t, w*t = 3*m + 2*t - 16. Solve -p + m*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 6 + 3. Suppose s = -5*w + 29, k*s = 4*w - 18 - 9. What is the least common multiple of w and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3\/(3\/2) + (-21484)\/(-41)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 + 9 = 2*w - 2*u, 0 = -2*w + u + 102. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120755*n - 120745*n = 80 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 1 = -2*w, 0 = -3*k - 4 + 1. Suppose w*m - 71819897 - 5680103 = 5*q, -4*q + m = 62000000. Round q to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b**2*i**3 - 2*b**2*i**2 + 6*b**2*i - 299*b*i**3 - 4*i**2 wrt i?\nAnswer: 12*b**2 - 1794*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 49271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + l - 3, k + 5*l - 3 = 4. Suppose -3 - 1 = -k*h. Let u be (2 - 3)\/h*0. Which is the biggest value?  (a) -0.4  (b) u  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1577 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: List the prime factors of 791129453.\nAnswer: 791129453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 0)*(-7)\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 0*d + 6\/13*d**2 + 2\/13*d**5 - 2\/13*d**3 - 6\/13*d**4 + 0 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**3\/2 + 4*j**2 - 13*j\/2 + 3 = 0. What is j?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 2*n. Let f = 5 - n. Suppose -f*h + 279 = -u + 19, 3*h + 5*u - 128 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 1. Let l(a) = 2*a**2 + 17*a - 53. Let m be l(-11). Let g(i) = 2*i + 3. Give m*g(h) - 6*c(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -530 = 7*b + 114. Let w be (-10 - b\/8) + 1\/2. Solve -5*q - 4 = w*j, -j + 2*q + q = -9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -81, -91, -129, -201, -313, -471, -681, -949?\n\"Answer: -v**3 - 8*v**2 + 21*v - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/4*4*-1*3. Let g be (-2)\/m*(-15)\/25. Let w = 0.56 - 0.5. What is the second smallest value in 0, w, g, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -153062 by -406.\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -502, -878, -1232, -1564?\n\"Answer: 11*p**2 - 409*p - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-35)*n**36 assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of p**5\/25 - p**4\/5 + p**3\/3 - p**2\/5 - 7. What is z in k(z) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 756881*k**2 + 376574 wrt k.\nAnswer: 1513762*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z - 5*z + 3*z)*(1 - z - 1) - 13*z**2 - z + z + (27*z - 4*z**2 - 27*z)*(2 - 2 - 2) - 5*z**2 + z**2 - 2*z**2 + 0*z**2 + 0*z**2 - z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that j**5\/3 + 12*j**4 + 425*j**3\/3 + 1658*j**2\/3 - 140*j - 9800\/3 = 0.\nAnswer: -14, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159089 + 24269 = 34*x - 8674. What are the prime factors of x?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*v**2 - 2*v**3 + 2*v**2 + (-1 + 1 + 3*v**2)*(v - 2 + 2))*(-1 - 4 + 2) to p*v + u*v**3 + a + w*v**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o - o + 2*o)*(1435 - 331 + 929).\nAnswer: -2033*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -4991?\nAnswer: 3\/4991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(150\/(-4)))\/((-200)\/(-125))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6256 + -410.00002.\nAnswer: 5845.99998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 + -17. Let u be (-1)\/3*h\/(-3). Let y be (8\/20)\/((-29)\/5). Is y less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 853 is divided by 51?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 0, 4*l = -4*d - 0*d. Let v(k) = k**3 - 5*k**2 + 2*k - 8. Let y be v(5). Put -2, d, y in decreasing order.\nAnswer: y, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12a21d (base 14) in base 5?\nAnswer: 131030030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 55.097 to 1 decimal place.\nAnswer: 55.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-70)*378\/48*104\/(-78)\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/5761 and -107\/186195520?\nAnswer: 186195520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/(-10)*1965\/(-1572)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 5*z + 31121, 3*f - 4*f + 5*z = 7749. Let i = f - 19456. Is i\/(-20) + (-2)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 7*y**2 + 5*y - 7. Let u(h) = 5*h**2 + 7*h - 6. Give -4*i(a) + 5*u(a).\nAnswer: -3*a**2 + 15*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhg when three letters picked without replacement from gnnnnnncchchh.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2620 - -94321\/36. What is the nearest to 1\/3 in b, 5, 0.13, 4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -5*b + 105. Let t be v(20). Suppose t*w = 4*w - 3*s + 71, -w = -5*s - 111. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -719906, 2, -3, 5 in increasing order.\nAnswer: -719906, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 10 = -5*j + 29, 11 = -v + 5*j. Suppose 4*g = 5*b - g - 60, -v*g - 32 = -2*b. Calculate the least common multiple of 113 and b.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*t - 18*t - 23*t. Which is smaller: t or 5.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -868, -116, 1898, 5804, 12232, 21812, 35174?\nAnswer: 52948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**(-7))*b*b**7*b*b)**(-7\/3)\/((b**(-3\/4)\/b)\/(b**3*b)*(b\/(b\/(b*b**(1\/3))))**50) assuming b is positive.\nAnswer: b**(-1207\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7756 is divided by 2370.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 5*z**3 - 7890*z**2 + 148105*z = 0.\nAnswer: 0, 19, 1559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3 - 27508*a**2 - 94586258*a.\nAnswer: -2*a*(a + 6877)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/18)\/(7\/(2142\/884)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**2 + 26*s + 56. What is the remainder when v(-15) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23.8 times -7222\nAnswer: 171883.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 20085229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) -24  (c) 1075.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-5))\/(6\/(-9))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 16 = -4*q, -2*u + 6*u = -5*q + 20. Let z = 0.677 - 0.277. Put 2\/23, z, u in increasing order.\nAnswer: u, 2\/23, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -5, -0.4, 3, 2\/19, -3\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5079109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 299 and 231465?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-30)\/(-125))\/((-4719)\/605). Sort -3\/2, 1, t, 1\/9 in descending order.\nAnswer: 1, 1\/9, t, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -110 + 108.12. Let n = 1.8954 + i. Round n to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8071.507 decades to years.\nAnswer: 80715.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + m + 17, -3*m = 3 + 3. Suppose 21 = -2*k + y*k. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10*2*(2 + 1). Let x be (-228)\/r - (0 + -4). Is x >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9)\/(-4) + 14\/(-56). Let t be 3444\/(-112) - k\/((-8)\/3). Let w = 34 + t. Calculate the least common multiple of w and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 - 3*c**2 + 12*c - 1. Let g be d(-7). Calculate the highest common divisor of 37 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 5, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, 9, 48, 103, 174, 261, 364?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/3  (b) 8  (c) -1\/2  (d) -264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.28765 - -0.28765. Let n = 3 - 8. What is the closest to w in n, 2\/5, 5\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.8 times -1211484?\nAnswer: -38525191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -930 + 936. Solve -13 + 28 = 2*m + 5*t, z*m + t = -25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1303659 is divided by 3458.\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1006, -1007, -1008?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -12, 12757618, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 75857 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t + 18. Let f = -101 - -89. Give k(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.15473222 rounded to four decimal places?\nAnswer: -0.1547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s - 16. Let g be (390\/(-12))\/13*-2. Let x(k) = 2*k - 11. Give g*m(q) - 7*x(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -499362*-2.6.\nAnswer: 1298341.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/378 and 167\/270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 0 = -i. What is the third derivative of 10*k**i - 2*k**4 + 11*k**2 - 6*k**2 + 12*k**4 wrt k?\nAnswer: 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 469 + 149. Let g = z - -60. List the prime factors of (-2758)\/(-12) + g + (-2)\/(-12).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 110636 - 260?\nAnswer: 1103a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(2*((-150)\/4)\/5). What is the second smallest value in q, -4\/7, 1, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(2\/2)\/(6 - (-75)\/30).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 4:22 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79 - -631\/8. Let t = -2.2 + 2. Put h, -2, t in descending order.\nAnswer: h, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 79 - 74. Suppose -4*u - 66 = 2*h, 2*u - 338 = -3*h - 429. Put -2, k, h in descending order.\nAnswer: k, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 432 = 2*w - a, 0 = -4*w - a - 432. Let b = -96 - w. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 divided by 3\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11942.\nAnswer: 2, 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 81194627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, v: 1, t: 2, y: 1}. Give prob of picking 1 f, 1 t, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4506079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1406 + 2996. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 15*j - 20. Let z be y(2). Suppose -3*f - z = i, 4*f - 5*i - 3 = 9. Sort -3, -13, f.\nAnswer: -13, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + 1)*(-6)\/(-18)*3. Solve m = 3*n, -5*p = -2*n - 6 - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/7, 11\/6, 1.27, -1, 3\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15080 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1131744 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0877067 + -17.9105683. Let o = u + 18. What is o rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -75 + 84. Let n be (-1 + l)\/(1*-2) + 16. Suppose o = n*o - 33. What is the second biggest value in 2, o, -1.8, -4\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**2\/((g\/(g**(-9\/5)*g))\/g))**(-27) assuming g is positive.\nAnswer: g**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 71423 and 517?\nAnswer: 3356881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/b**7)\/(((b\/(b*b**(5\/6)*b))\/b)\/b)*b**(-1\/6)*b**(4\/5)*b)**(10\/21) assuming b is positive.\nAnswer: b**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -114370, -114440, -114510?\n\"Answer: -70*x - 114300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**2 + 3*i**2 - 3*i**2)*(2370 - 974 + 85 + 2520 + 2002).\nAnswer: 6003*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9219?\nAnswer: 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*f - 38 + 38 - 45*f.\nAnswer: -41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -64317.4552, -0.1?\nAnswer: -64317.4552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*d + 21, -3*o + 3*d = -18. Suppose -o*q + 47 = -404. Let b = q + -21. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (2 - 9 - (10 + -11)) - 10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1578 a factor of 228786330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -3*o + 7, 4 + 1 = 5*n. Suppose -z - o*a - 338 = -4*z, 0 = 2*z - a - 222. Let x be (15\/z)\/(9\/4). Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*f**3 - 172*f**2 - 1273*f - 3 wrt f.\nAnswer: 84*f - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -c7 (base 15) to base 9\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -75.419 and -10?\nAnswer: 754.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*c - 72 = -35*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 59 - 3*m - 59 + (2*m + 3*m - 6*m)*(-3 + 1 - 2) to z + c*m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -2.477446.\nAnswer: -0.9909784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -3*s**4\/4 + 4*s**3 - 6*s**2 - 33. Factor z(a).\nAnswer: -3*a*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 8:19 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/2 in -3, 6, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*q + 35 - 35)*(1 - 8 + 26)*(4 + 3 - 5) as u*q + f and give u.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -611014*y**2 + 102*y - 611015*y**2 - 5824*y**4 + 1222029*y**2 + 48 wrt y?\nAnswer: -69888*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -2*sqrt(275))*2)**2 + -1*(1*sqrt(11) + -5 - (sqrt(44)\/sqrt(2))\/sqrt(2)).\nAnswer: -320*sqrt(11) + 4469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 2*q = -2*h - 26, h - 2*q - 1 = 0. Let l be ((-344)\/6)\/((24\/h)\/(-4)). Let p = l + 20. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -5 - (141 - 118) - -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert d6d (base 14) to base 3.\nAnswer: 10121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 193130, 772514, 1738154, 3090050?\n\"Answer: 193128*f**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 2 = -5*y. Let h be 6 - (1\/(-2))\/((-6)\/48). Let f be (11 - 10) + 3*1. Solve 4 = y*p - 4*p - g, -p - h*g = -f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -717\/11504 - 1\/5752. What is the second smallest value in 0.11, 0.4, 0.1, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*v**2 + 114*v**2 - 1065*v**2 - 3.\nAnswer: -980*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1265.\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 3*a**2 - 12*a - 19. Is l(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p**2 + 4*p**2 + 4*p**2.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 2*k = l + 3, -3 = k. Suppose 0*i + 6 = 3*i. Find v, given that 0 + 0*v**l + 0*v - 2\/5*v**i + 2\/5*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 AM and 8:07 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212220120 (base 3) to base 9.\nAnswer: 25816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y + 29092 - 17433 - 11711.\nAnswer: -y - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 334 + -222. Calculate the smallest common multiple of 2 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002462 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-276)\/(-115)*7\/126?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 423 + -282. Suppose -n - o = -4*n. Let m be (-3 + 0 + -7)*n. Round m to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - (18 - (-13 - -21) - 11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31916130?\nAnswer: 2, 3, 5, 1063871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yfyfyyyfjvyvyv. What is prob of picking 1 y and 1 v?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 73*t + 2672 - 1817 = -2841 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 - o**2 - o + 1. Let f(i) = 4*i**3 - 60*i**2 - 3*i + 3. Calculate f(q) - 3*j(q).\nAnswer: 7*q**3 - 57*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 1:38 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 - 11*b + 18. Let p be w(5). What is the greatest common divisor of p and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6531403436.\nAnswer: 2, 1632850859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8168 - 7339. Calculate the remainder when i is divided by 93.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 16 = 2*m. What is the tens digit of (2*m)\/((-6)\/(-135))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*k + 3*j = -239 - 51, 3*k + 9*j = 6*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 9*s**2 - 1. Suppose 3*b + p + 4 = 0, 0 = 2*b - 4*b - p - 4. Suppose 2*o + b*o + 2 = 0. What are the prime factors of j(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(2\/35)*x*x**(-5) assuming x is positive.\nAnswer: x**(-138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -810373, -810357, -810353, -810367, -810405, -810473, -810577, -810723?\n\"Answer: -i**3 + 23*i - 810395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8941\/837 - 330\/31. Calculate the common denominator of j and -11\/1833.\nAnswer: 16497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11013801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 3*h - 50, 9 = k - h - 4. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 10*t**2 + 0*t**2 - 2*t**2. Let d(g) be the third derivative of 0 + 2*g + 0*g**3 - 1\/8*g**4 + 6*g**2. What is d(m(u))?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 348244?\nAnswer: 2, 13, 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 5*i - 1 = 0, -1185*i + 592*i + 124 = -6*t + 2*t - 597*i for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ikgbm. Give prob of picking 1 m and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 2:04 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 364197, 728759, 1093321, 1457883, 1822445?\nAnswer: 2187007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 3*b - 35697 = 0, -66*h - 35709 = -69*h - 3*b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -22*j - 17. Let x = 51 - 59. What are the prime factors of k(x)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.097 - -0.097. Let x be (-42)\/49 - (1 - 1). Let f be 60\/(-9) + 28\/7 - -3. Which is the closest to f?  (a) x  (b) h  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 12\/7, 5 in decreasing order.\nAnswer: 12, 5, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*(a**(-2\/3)\/a)\/a)**(-18)\/((a\/a**1)\/a**(6\/13)) assuming a is positive.\nAnswer: a**(396\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 85 + -32. Let h = 775 + -764. What is the remainder when u is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/3))**(-13)*(v**2\/v)\/v**(-2\/7) assuming v is positive.\nAnswer: v**(-155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 42.11 equal to -2.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ptnygppgygk. What is prob of picking 1 k and 1 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49367?\nAnswer: 49367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2180015 is divided by 36947.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -76*h**2 - 90 + 3*h + 86*h**2 + 89. Determine n(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2478575 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 521*r**2 + 9*r - 11. What is the hundreds digit of q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 19932 = -3*z, 58*z - 53*z + 2*i - 33246 = 0. List the prime factors of z.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + t = 4*l + 41, -5*t + l + 44 = 0. Suppose 17 = z - 3*r, -14*r = 5*z - t*r - 45. Calculate the greatest common divisor of z and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of -c**4\/4 + c**3\/3 + 46*c + 2. Let g be w(0). Suppose -4*m = -2*m - g. Solve -5*j + v + m = 0, -4*v = -4*j + 3*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 136268?\nAnswer: 408804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68 + -72. Let n(c) = c**3 + 4*c**2 - 2*c - 6. Let p be n(h). What is the second derivative of -16*w + 18*w + 5*w**2 + 9*w**p - w**2 wrt w?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that n**5\/5 + 396*n**4\/5 - 811*n**3\/5 - 5938*n**2\/5 + 2544*n - 6368\/5 = 0.\nAnswer: -398, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4 + 5 = -v, 2*v - 6 = -2*b. Suppose -b*s - 2*o = 2, -5*s = -5*o - 6 - 14. Let z(y) = 13*y**3 - 1. What is the units digit of z(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (2 + -1) - (-20 - (-15 + -12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -98560, -197266, -295984, -394720, -493480, -592270?\n\"Answer: -a**3 - 98699*a + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of p**5\/10 + 2*p**4\/3 - 7*p**3\/6 + p**2 + 4*p + 21. What are the prime factors of o(6)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -5*y**2 - 18*y - 6. Let z be g(-3). Solve z*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-364)\/65)\/(1\/5*102\/51)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3 - 336930*h**2 + 3369384*h - 5391040.\nAnswer: -(h - 8)*(h - 2)*(h + 336940)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l*l\/(l*l**6)))\/l**(-6)*(l**1)**(-22) assuming l is positive.\nAnswer: l**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2527, -5056, -7585, -10114?\nAnswer: -12643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -53 + 53.15. Let m = 23 + -28. Which is the nearest to q?  (a) m  (b) 0.5  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 6) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 1776*d + 43460*d**3 - 43458*d**3 - 559*d to the form u*d + i*d**3 + t + l*d**2 and give u.\nAnswer: -2335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3*p**3 + 3*p**2 + 4*p + 3. Let o be l(-2). Find the first derivative of -57*f**4 + 0 + 6 + o*f**4 wrt f.\nAnswer: -104*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3138, -6284, -9442, -12612, -15794, -18988, -22194?\n\"Answer: -6*l**2 - 3128*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 331 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110303734?\nAnswer: 2, 37, 1490591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 411 and 10.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/3323892 and 131\/1278420?\nAnswer: 16619460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 496398 and 4237.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(156)\/(sqrt(12) + sqrt(48)\/sqrt(4) + sqrt(12)) + sqrt(13))**2 + (-2 + sqrt(832))**2 - (-2*(sqrt(65)*5)\/sqrt(5))**2).\nAnswer: -3923\/9 - 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -41*d - 660. Calculate c(-17).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = -3*t + 4, -6*t + 4*t - 12 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 times -2976.33?\nAnswer: -377993.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xu when two letters picked without replacement from xuxxgguxvxux?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 13*v**2 + 39*v + 14. Let x be a(-16). Suppose 10 + x = 12*k. What is the remainder when 149 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/(-56)*2\/6.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (25\/(-25))\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -34*w**2 - 4*w - 2. Let m be 2\/11 + 138\/(-33). Let h be u(m). What is h rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -9*l**3 - 4*l**2 + 12*l + 893. Let i(y) = 7*y**3 + 3*y**2 - 9*y - 895. Give -4*i(b) - 3*s(b).\nAnswer: -b**3 + 901","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 3 + 1)*(3 - 10 + 1) + (-3 - 2 + 4)*(-3 - 1 + 3) - 10 - 9 + 5)*(3 - 6*j - 3) + j + 0*j + 0 - 1 to the form o*j + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n + n + 4*n - 9*n + n. Let v(y) = y + 12. Let c be v(-10). Let t(f) = -6*f - 1 - 1 + c. Calculate l(t(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*a - 3*a - 30. Let p be a\/(-14) + (-8)\/28. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 + 18*s**2 + 65*s - 471. What is the tens digit of p(29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 170*q*s**4 - 22892*q*s + 7*q - 9*s**5 - 5*s**3 - s wrt s.\nAnswer: 2040*q*s**2 - 180*s**3 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 - 4*n**2 + 3*n - 7. Let v be b(-5). Let c = -8 - -8.02. Let m = c + 0.08. Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z + z**2 + 2*z**2 - 2*z**2 - 1 - 1. Let c be w(12). Calculate the highest common factor of c and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 + 6*k**2 - 4*k + 18. Calculate n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 287292 and 18.\nAnswer: 861876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 4554\nAnswer: 1\/1518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wf when two letters picked without replacement from ssssfsccssswssswwssc?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3004.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u**2 + 22*u + 2. Let f be c(11). Sort f, 1, -4, 5 in increasing order.\nAnswer: -4, 1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - ((18 - 41) + 19)) + -48.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-121 + 5*u + 124 - 3*u)*(u**4 + 2*u**4 - 2*u**4).\nAnswer: 2*u**5 + 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/2)\/((-36)\/(-144)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3246521, -3246524, -3246527, -3246530?\nAnswer: -3246533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 91, 2, 5, 1, -3, -52 in decreasing order.\nAnswer: 91, 5, 2, 1, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 4*r = 3*p + 241, 0 = -p - 3*r - 102. Let q = 145 + p. Suppose 24 - q = -2*a. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of 0*m**4 + 0 + 4*m**2 - 1\/945*m**7 + 0*m + 0*m**5 - 1\/540*m**6 + 0*m**3. Let f(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 4*k. Let m(g) = 111*g. Let b(f) = 4*m(f) - 108*u(f). Calculate the smallest common multiple of b(1) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c - 4. Let h be p(0). Let x be ((-9)\/h)\/((-11)\/(-44)). Suppose -10*u + 5 = -x*u. Sort 4, -1, u in descending order.\nAnswer: u, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 132 and 1914.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 - 5*d + 14. Let q be n(-7). Solve q = -8*u + 13*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 + 4*g**2 + 4*g + 7. Let v be d(5). Suppose 5*f = 5*h - 25, -2*f = -v*h - f + 7. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16607574 and 126.\nAnswer: 116253018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-35)\/(-2))\/(7\/(-14)). Let u be (-130)\/g - 4\/(-14). Suppose -4*z - 5*f + 41 = 0, 5*f = u*z + f - 68. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 1971 = -8*s - 64*s for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -23*o - 65 - 23. Let v(d) = -d**3 + 3*d - 2. Calculate v(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.324675286 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 - (2 + -11)\/3. Suppose 0 = -3*o + 3*s - 5*s + 28, -2*s = 8. Solve -o = 4*n - l*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14 * 47.133.\nAnswer: 659.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/42999396 and -43\/7166566?\nAnswer: 42999396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -36 - 12?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 6, o: 3, v: 2, y: 3, c: 1}. What is prob of sequence vzvo?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -201*g + 2844 - 7467 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -4*p**3 + 2*p + 2*p**3 + 6*p**2 - 7*p**2 + 2. Let r be f(-2). Solve 2*q + r = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (3 - -4) + (-2 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(2\/3)*s)\/((((((s\/s**(-6)*s)\/s)\/s)\/s)\/s)\/s))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00061828428 rounded to 7 dps?\nAnswer: 0.0006183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5600)\/(-238) - 3 - 276\/12.\nAnswer: -42\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(-30) + (-78)\/(-36). What is the greatest common divisor of 98 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11011 - -10?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-5) - 346\/740. Let u be 9\/(-63) + ((-90)\/(-518))\/(38\/23). Let c = u + v. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(-3)\/(-6)*(-2)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l**3 + 20*l**3 - 8*l**3 + 0*l**3 - 7*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -33 or -24?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 - (-10)\/4)\/((-1176)\/240 - -5). Let d(j) = -2*j**3 - 2*j**2 + 5*j - 5. Let s(n) = 1 + 2*n - n**2 + n - n**3 - 4. What is g*s(k) - 3*d(k)?\nAnswer: k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 704765714.\nAnswer: 2, 29, 37, 349, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 8*f**2 + 3*f + 20. Let y be u(-8). What is the tens digit of 0 - (-581 - -1) - (6 + y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xrxt when four letters picked without replacement from {r: 12, t: 1, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -90940 or -90938?\nAnswer: -90940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 12, l: 7}. What is prob of picking 2 l?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5\/1124 + 6689\/12364. Sort v, 0.5, 0.3, -0.4, -2\/15 in increasing order.\nAnswer: -0.4, -2\/15, 0.3, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 44223, 43509, 42795?\n\"Answer: -714*b + 44937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3.159233 micrograms?\nAnswer: 0.003159233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43*x**3 + 9*x**3 - 2 - 52*x**3 + 124*x**4 + 56*x wrt x.\nAnswer: 1488*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**30\/z**(-2\/75))\/((((z*z\/(z**(-1\/13)*z)*z)\/z*z)\/z)\/(z\/(z\/(z**(5\/3)\/z)))) assuming z is positive.\nAnswer: z**(28876\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 43250663.21 rounded to the nearest 1000?\nAnswer: 43251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 695*i**4 + 2855*i**3 - 118748*i + 31 wrt i?\nAnswer: 8340*i**2 + 17130*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**4 + 57*s**3 - 312*s**2 + 528*s = 0. What is s?\nAnswer: 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 430*q - 15151. Is m(42) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-798)\/(-30) - 22)\/((-2)\/10). Sort 15, 3, v, 5, -2 in descending order.\nAnswer: 15, 5, 3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003042 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 divided by 18?\nAnswer: 83\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -729925 - 3*r - 2*r + 1462133 - 732208.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 4*q, w - 49 = -3*q. Let h(y) = 3*y - 1. What is the remainder when w is divided by h(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -5*r**4\/2 - 10*r - 9. What is the derivative of f(d) wrt d?\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of -c**4\/3 + 2*c**3\/3 + c**2\/2 + 12*c - 1. Determine a(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 449, 3, -5 in descending order.\nAnswer: 449, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3*v**2 - 35*v - 32. Let n(u) = -u**2 + 1. Let t(w) = -20*n(w) + 5*y(w). Solve t(q) = 0.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2\/7 + 64*c\/7 + 68\/7.\nAnswer: -4*(c - 17)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21.023 + 0.023. Let f = d - -20.8. Let t = f - -0.1935. What is t rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 0.5. Let l = -3.0488 + 0.0488. What is the second biggest value in u, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 5) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -30*j - 30. Let g be q(-2). Suppose -484*u = -490*u + g. Solve -35 + u = 5*a + 5*i, -2*a = -3*i + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n**2 - 90*n + 2. Suppose 238 = -3*w + 148. Let m be f(w). Calculate the greatest common divisor of 4 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 290*y - 2608. Let q be s(9). Solve -2 = 4*m - v, m + 2 = q*v - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5384\/1219 - -112\/23. Are k and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 72 - 73. Which is the smallest value?  (a) o  (b) -3  (c) -5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -232038, 5 in increasing order.\nAnswer: -232038, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 6*c**2 + c. Let r be w(-2). Suppose -3*m - 15 = -0*m, -2*m - r = -4*q. Suppose 2*n - 80 = -q*n. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7236587 and 1397?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38 - -55. Suppose 18 + u = 7*v. Calculate the remainder when 7 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (3 - 29) - 3 - 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 81 = y. What is the remainder when 79 is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 953 is divided by 953?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -5*j**2 + 5*j - 7. Let g(l) = 6*l**2 - 5*l + 8. Let q(k) = -3*g(k) - 4*u(k). Suppose 5*o = -a, -3*o - 2 = a - 0*a. Let i = -2 - a. Determine q(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2c2 (base 15) in base 6?\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -5, -0.1, -4 in decreasing order.\nAnswer: -0.1, -2\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10484*t - 78771 with respect to t.\nAnswer: 10484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 712956421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -947 - -1343. Suppose -i - k = -23*i. Let h(a) = -5*a**3 + 5*a + 21. Let z(s) = -s**3 + s + 5. Give i*z(q) - 4*h(q).\nAnswer: 2*q**3 - 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-16)\/(-10)*30\/(-12). Sort d, -0.4, -61 in decreasing order.\nAnswer: -0.4, d, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(7\/(6 + -1343)). Let t = i + -63. Calculate the remainder when 389 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 a when four letters picked without replacement from {m: 4, a: 5, s: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 613905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00010054784 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d - 4. Let z(x) = -5*x - 3*x - 4*x + 2. Let s be z(-1). What are the prime factors of q(s)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 0*j = -4*i + 22, 4*j + 5630 = -2*i + 5636 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(-7 - 3 + 9)*(-2 + 2 + 2)*(0*l**3 + 0*l**3 - 2*l**4).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 5*g + 1. Let r = 139 + -136. What is the second derivative of -14*y**g - 6*y - r*y - y + 0*y wrt y?\nAnswer: -168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*l**4 - 10180*l**3 + 8632631*l**2 + 5786770*l - 23038472 = 0. What is l?\nAnswer: -2, 4\/3, 1697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7.2 + 8.7. Let n = v + -0.62. Let l = n - 0.92. Which is the closest to -1?  (a) -0.4  (b) l  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -332, -332, -342, -368, -416?\n\"Answer: -v**3 + v**2 + 4*v - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5515 and 338384958?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -5. Let j = -9387\/10 + 4689\/5. Which is greater: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 351 a factor of 378378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -739 - -741. Let d(x) be the first derivative of 18*x + 0*x**3 + 0*x**o - 15\/4*x**4 - 11. Differentiate d(a) wrt a.\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -74019 - -373199\/5. Let g = u - 613. Factor 4*y**2 + 3\/5*y**3 + g*y + 18\/5.\nAnswer: (y + 3)**2*(3*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 27 = 4*y. Let u = y - 15. What is the units digit of 2\/u + (-26)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 4*s - 4 + 2*s**3 - 29*s**2 + 29*s**2 to w*s**2 + k + y*s**3 + b*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + -15. Let h = f - -46. Let m = h + 61. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -91, 9.6, 3, 1\/19, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -68 + 496068?\nAnswer: 496000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -5*l**4 - 2870*l**3 - 411840*l**2 + 2870*l + 411845 = 0.\nAnswer: -287, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8797393 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cddk when four letters picked without replacement from {c: 4, d: 3, k: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -642242 (base 8) to base 9\nAnswer: -355715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 3 + 1)*(-r - 2*r - 2*r) - 21 + 7*r + 21)*(3*r - 3*r + r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -5*f - 12*f**2 - 4 + 6*f**3 + 17*f - 2*f**3 + 0*f**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9374095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/3*(-3 + 4 + -2). Let z be (b + 0)*10\/1*-5. Let q = z - -98. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 4*n + 1684. Is b(47) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of 3*r**2\/2 + 4*r + 2. Let q be t(-4). Let u be q\/((-1)\/(2\/2)). Calculate the greatest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -1\/4  (c) -2\/7  (d) 159  (e) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -5*l + l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4527996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1062181152 to the power of 1\/2, to the nearest integer?\nAnswer: 32591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-5*((-6*(0 + sqrt(180)) + sqrt(180) - 1*(sqrt(180) + -1)) + 2 - -1*-2*(1 + sqrt(180) + sqrt(180))*2))**2.\nAnswer: 16800*sqrt(5) + 3528100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3302 + 1952. Let r be 6\/10 + 3*470\/k. Which is bigger: r or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8894.\nAnswer: 2, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11731625.5 rounded to the nearest 100000?\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 73\/352171?\nAnswer: 73\/352171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(42) + 3*(sqrt(42)*-2 - sqrt(42)))\/(sqrt(216)*6).\nAnswer: -4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 99, 99, 111, 141, 195, 279?\n\"Answer: n**3 - 7*n + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-3)*(10\/25 + (-90)\/350).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((-40)\/(-96)) - (-1 + -5). Factor 2\/5*v**3 + 0 - 12\/5*v**2 + c*v.\nAnswer: 2*v*(v - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/((j*j\/j**(-12))\/j*j)*j)\/(j*j**(10\/7))*(j\/j**2)**(2\/99) assuming j is positive.\nAnswer: j**(-9320\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(1\/6)\/t**(-1\/4))**(-18))**49)**(-30) assuming t is positive.\nAnswer: t**11025","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 8:40 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 6*((-6)\/(-6) + 31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5331777 - 2?\nAnswer: -5332001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1154 and 8.\nAnswer: 4616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 147808 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51 - 26 - 86 - (-8 - 5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1119 + -1066. Calculate the remainder when 261 is divided by m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10 + x - 4 + 15 + 6*x as g*x + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 3*b**2 + 13*b - 4. Let z(v) = 16*v**2 + 67*v - 20. Let c(q) = 11*n(q) - 2*z(q). Calculate c(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (-2 - (-4 - 2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oqqoqoqwnqo. Give prob of sequence wnq.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = -540*y + 29 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5*(-9)\/(-30)*(-6)\/(-783)*6\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ofoooouuu. Give prob of sequence uu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6426553546?\nAnswer: 2, 7, 2917, 22481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 136404 and 63504?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -46924.\nAnswer: -5\/46924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19861 - -19848. Let f(r) = -11*r**3 + 11*r**2 - 17*r + 11. Let c(n) = -5*n**3 + 5*n**2 - 8*n + 5. What is h*c(l) + 6*f(l)?\nAnswer: -l**3 + l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -186943, -373885, -560827?\n\"Answer: -186942*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 12*f**3 + 3*f**2 - 4*f + 1. Let l be b(1). Let j be 2 - (-3)\/6*2. Let x be j\/3 + (0 - 1). Solve 3*p + p - l = x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwccwcww.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 58 (base 9) to base 14\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 824621.5kg to micrograms.\nAnswer: 824621500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.04 + -0.44. Let s = 6.4 + -1.4. Let l = -59 + 59. Sort l, z, s.\nAnswer: z, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) 3  (b) 0.3  (c) 3\/4  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21208001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3376833 is divided by 259?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*c + 57*c = -729280. What is c rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6570 or -46405?\nAnswer: 6570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 560\/72 - 10\/(-45)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 39\/(-6)*(-4)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82781610?\nAnswer: 2, 3, 5, 2759387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -3143, -3, -30, -2, 0.\nAnswer: -3143, -30, -4, -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1613.6852 - 0.2\nAnswer: -1613.8852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -3*y - 42. Let d(i) = -i**2 - 9*i - 8. Calculate the least common multiple of d(y) and 38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 5) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-4 + ((sqrt(432) - (-4 + sqrt(432))) + sqrt(432))**2 + 2 - (1 + 1 + -2*sqrt(432))**2)*-5.\nAnswer: -960*sqrt(3) + 6435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -52 - -52. Let w(a) be the second derivative of -1\/6*a**2 + 1\/36*a**4 + a + r*a**3 + 0. Factor w(k).\nAnswer: (k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**2 + 0*t**2 + 0*t**2 - 5*t**2 + 3*t**2 + 4*t**2 + (0 - 2*t + 0)*(-3*t - 4*t + 6*t) + 0*t + 0*t + 2*t**2 + 10*t - 7*t**2 + 9*t**2 + t**2.\nAnswer: 11*t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -194*j - 5216. List the prime factors of y(-58).\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-5*u - 3*u + 9*u + 5)*(-1 + 4 - 2) + 3*u - 3*u - 3*u)*(3 + 8*u - 7*u - 8) in the form x*u**2 + i + j*u and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/10 - ((-129)\/15 + 3). Solve 2 = -4*i - a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -44 + (-70 - -116) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -2 - (7 - (22 + -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the third derivative of -r**6\/360 - r**5\/240 + 4*r**3 + 11*r**2. Let y(v) be the first derivative of w(v). Factor y(k).\nAnswer: -k*(2*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1*sqrt(1300))**2 + 3 + -2 + (-4*(1 + sqrt(1300)))**2.\nAnswer: 320*sqrt(13) + 22117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m + 13. Suppose 7*t = 3*t - 20. Let x be f(t). Let r(j) = -j**3 + 3*j + 1. Calculate the remainder when r(x) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/((-96)\/296) - (-2)\/4. Suppose 96 - v = 7*r. What is the remainder when 76 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/8*-1)\/((7\/(-4))\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1770041.\nAnswer: 7, 13, 53, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -4  (b) -5  (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0.2, 30, -0.03, -0.41928.\nAnswer: -0.5, -0.41928, -0.03, 0.2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/4, -6, -2\/2791, 12, 0.5, 2\/21?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d + 38 + 4*d - 54.\nAnswer: d - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 6*o**2 + 2*o**3 + 9*o**2 - 2*o**2)*(o + 5*o - 2*o).\nAnswer: 8*o**4 + 4*o**3 + 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 AM and 7:11 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/6 + 21\/(252\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -194*o = -208*o + 53930 + 8272. List the prime factors of o.\nAnswer: 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 31 = 95. Suppose -6*n = -2*n - k. Suppose -30 = -5*r - p, -r - 3*p + 40 = n*r. Solve -4 = r*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -8*c**3 + 12*c**3 + 4*c**2 - 2*c**2 + c**2 - 9*c**3. Let r(x) = 4*x**3 - 2*x**2. Give -3*r(t) - 2*s(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(504) - sqrt(14) - sqrt(14))*-4)\/(sqrt(126)\/sqrt(7))*2.\nAnswer: 64*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -99, -131, -211, -327, -467?\n\"Answer: 2*q**3 - 36*q**2 + 62*q - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1550\/391139?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h + 100\/3*h**2 - 48 + 4\/3*h**4 + 40\/3*h**3 = 0 for h.\nAnswer: -6, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7 - 5)\/6 - (-11 - -3). Let i be (5 - 7 - (-32)\/r)*-81. Round i to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 + 9*c - 10. Let j be -14*(-1 + 2\/4). Let t be p(j). Suppose -t*n + 5*q - 3 = 0, -3*q + q = -3*n + 3. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(-42) - 391\/(-138).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 11) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -3*g + 21, 0 = -v + g - 9 + 3. Let l(t) = -5*t - 1. Determine l(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of 1029*r**4\/4 + r**2\/2 - 3827*r - 3614. Differentiate n(w) wrt w.\nAnswer: 3087*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55.67966kg to milligrams.\nAnswer: 55679660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, 285903 in decreasing order.\nAnswer: 285903, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 times -0.9?\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**2 + z**2 - z**2)*(-92 + 1966*z**2 + 209*z**2 + 88 + 714*z**2).\nAnswer: 2889*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 92952.6 hours?\nAnswer: 334629360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7175)\/(-7070) - 1)\/(57\/38)?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1174664 - 0?\nAnswer: 1174664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -59\/66 - -5\/22. Suppose 2*f = f + 5. Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.3 + 1.4. Let k = 35.3 + v. Let z = -41.9 + k. Which is the closest to z?  (a) -1\/3  (b) -2\/15  (c) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60\/380 + (-22)\/19.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432))**2 - (5 + -3 + sqrt(3)).\nAnswer: -sqrt(3) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18\/(-5)*45\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -810*w + 14. Does 29 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 7743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 6*j - 0*j. Let t = 28 - j. Solve 2*v + 8 = -m - 3, 5*m + v + t = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, j: 1, k: 2, f: 2, x: 1}. What is prob of picking 1 k, 1 f, 1 j, and 1 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + i - j + 436004, -3*i + 2*j = -1307992. What is i rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of 2*s**2 - 2*s + 983. Give f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-70 + 25 - -8) + 24\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h + 5. Let g be v(3). Let i(q) = -q**g - 2*q**2 + 6*q**2. Let y(x) = x**2 + 9*x**2 - 12*x**2. Calculate i(y(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 190, 1, 5?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 64601516 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nf when two letters picked without replacement from ppppppfppnpppp?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 47425 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 41784\/(-2700) + 16 - 2\/25?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3479335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21 - -61. Suppose 2*l - 3 + 27 = -2*b, -3*l - 4*b - j = 0. Which is greater: -7 or l?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 84 = -0*u. Suppose -4*m = -2*m - u. Suppose 2*x - 3*x = -m. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 379381*q - 5*q**2 + 6*q**2 - 379378*q - 97*q**3 to d*q**3 + n*q**2 + r*q + l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -20\/71 and -33\/357059.\nAnswer: 357059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1569842, 1569834, 1569826, 1569818, 1569810?\nAnswer: 1569802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/18  (b) 1\/4  (c) -2.9  (d) 0.4  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/3))**(2\/9)*p**(4\/7)\/p**5 assuming p is positive.\nAnswer: p**(-865\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -230186566\/951 + 242047. Let r = 60037\/99855 - l. Let n = r + -4\/63. Put 4, n, 2 in decreasing order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-12)*-2*9. Let c = 263 - 251. Suppose -c = 518*o - 521*o. Solve -5 = -h*p + o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -140*f + 2*f**2 + 140*f. Let i(o) = 22*o**2. What is q(i(b))?\nAnswer: 968*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -5*d**2 + 5*d + 5. Determine k(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -2.9, -5, 0.1398 in descending order.\nAnswer: 0.1398, -0.2, -2.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -21453 divided by 658\nAnswer: -21453\/658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 2*w, -2*w = -5*m + 8 + 8. Suppose -7 = m*u - 3. Is 138\/(-4)*u\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -44*k**3 - 7*k**2 - 7*k - 85. Let c(y) = 44*y**3 + 6*y**2 + 6*y + 84. Let m(o) = -7*c(o) - 6*p(o). Differentiate m(a) with respect to a.\nAnswer: -132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43970.\nAnswer: 2, 5, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1632 - -1627. What is the smallest value in r, -1.42, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -451*f**3 + 345*f**3 + 357*f**3 + 48*f - 252*f**3.\nAnswer: -f**3 + 48*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 84948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/5 + 212\/10 + -1. Let k be ((1 - 1) + 6)\/(y\/30). Differentiate -k + 8 - 8 - 3*p**3 - 1 wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -2 + a**2 + 2. Let z(r) be the first derivative of r**4\/12 + 3*r + 2. Let x(c) be the first derivative of z(c). Calculate b(x(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6935.\nAnswer: 5, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 28 + 40 = -2*o, 5*v = o + 154. Calculate the remainder when v is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.0635 - -84.2635. Round f to 0 dps.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8500\/609 or 13?\nAnswer: 8500\/609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 6*t**2. Let d(v) = 1121841*v**2. Give i(d(o)).\nAnswer: 7551163375686*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122855*x**3 + 61117*x**3 + 61746*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6249 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -105*a**2*q**2 - a**2 - 15*q + 2 wrt q.\nAnswer: -210*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 AM and 5:13 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xaxxasxaaaxsaa. Give prob of sequence sxs.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -19.3  (b) 0.21  (c) -0.4  (d) 1\/8  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 492, 485, 472, 453, 428, 397, 360?\n\"Answer: -3*q**2 + 2*q + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 48*b + 3. Let k be y(11). Suppose -4*h - 4*j + k = -33, 0 = -2*h + j + 270. Calculate the remainder when h is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -44207*o + 44202*o + 2*x, 3*o + 6 = 3*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/75431 - -52198210\/1584051. Let j = -98\/3 + y. Which is bigger: 0.11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/2218 and -30\/12199.\nAnswer: 24398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 100\/(-30)*(-1 - -4). List the prime factors of ((-4)\/f)\/((-14)\/(-1645)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**5\/7 + 20*w**4\/7 - 32*w**3\/7.\nAnswer: -2*w**3*(w - 8)*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7166837 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 2\/351, 1242?\nAnswer: 1242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 54 and 6831.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 80712 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0346827 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 156 + 6 = 0. What is the remainder when 101 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 911039.4 nanograms to tonnes.\nAnswer: 0.0000000009110394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + 7*a - 9*a = 0. Suppose -w + 7*w - 870 = a. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 555, -4, 13610 in descending order.\nAnswer: 13610, 555, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven halves of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((8024\/295)\/(-68))\/(5\/(250\/(-36)))\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 0*g - 3*g = -9, 3*g - 9 = c. What are the prime factors of (-7)\/(-14)*(1266 + c) + 2?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 273007671 and 53313.\nAnswer: 4101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 4. Let i(g) = -16*g**3 + g**2 + 2*g + 1. Let m(k) = 4*k**2 - 22*k - 13. Let z be m(6). Calculate the least common multiple of h and i(z).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 68\/99 or 1?\nAnswer: 68\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 95055.97 grams?\nAnswer: 95055970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-197)\/((-48265)\/(-490)))\/((-1)\/(-24))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.9 + 10.9. Let o be ((-2)\/4)\/(1\/8). What is the second biggest value in 3\/4, v, o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 5, e: 9, l: 2}. What is prob of sequence llne?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9199 by 10.\nAnswer: 9199\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 22*o**2 + 0 + 0*o - 43\/4*o**4 + 23\/2*o**3 - 1\/4*o**5 = 0. Calculate o.\nAnswer: -44, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -565*f + 90714 = -559*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(378)\/(sqrt(45)\/(sqrt(5) + sqrt(20) + sqrt(5))))\/(sqrt(24)*-5 - (-1*sqrt(486) - sqrt(486))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) 0.0278484  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 2*o. Suppose -v - 5 = 0, o*v - 60 = -3*z + 3*v. Does 7 divide 46\/6 - 10\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.06352 + 6.845?\nAnswer: 3.78148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 598 and 221.\nAnswer: 10166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -182 + 307. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1058707991 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -v + 29. Let r = v + -26. Let m(j) = 6*j + 9. Calculate the remainder when m(r) is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r + 11*r = 35. Let a be (11 - 13) + -3 + -1. Let o be a\/(-2)*5\/3. What is the highest common factor of o and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x + 2. Let j be b(5). Let a be 2 + (-1 + j)\/(-2). Solve -5*p - 5 = -a*r + 25, -17 = -5*r - 4*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/8530 and -56\/28149.\nAnswer: 281490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.113 and 225893?\nAnswer: 225891.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 132244 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -1 + (3 - -1 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -0.01429, -6, 1\/4, -5 in ascending order.\nAnswer: -6, -5, -3, -0.01429, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52, -227, -572, -1129, -1940, -3047, -4492?\nAnswer: -6317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -7, -0.2, 939745, 1?\nAnswer: 939745","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 136025\/14 - 9708. Let g = 125\/74 - 114301\/67710. Let x = g - 32027\/1830. Calculate the common denominator of x and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20538 is divided by 2913.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000271 rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjcc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m - 51 - 1081*m**3 + 48 + 1084*m**3 + 10*m**2. Let h(o) = 6*o**3 + 19*o**2 + 5*o - 5. Give -3*h(u) + 5*y(u).\nAnswer: -3*u**3 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2766, -2768, -2780, -2808, -2858, -2936, -3048, -3200?\nAnswer: -3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-2) - (2 - 2). Suppose y*x = 6*x. Suppose x = 2*s - 6*s + 2*z + 10, 0 = -5*z + 25. Solve 0 = -s*m + p + 8, -p - 6 + 14 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1309 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 324  (b) -22\/7  (c) -0.4  (d) 0  (e) 7  (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/6718160 and -39\/272128.\nAnswer: 107490560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 195, 205, 229, 273, 343, 445, 585, 769?\n\"Answer: h**3 + h**2 + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -607*v + 609*v - 2 = 0, 0 = -x + v - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -44, 3, 2, 1 in ascending order.\nAnswer: -44, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k - 25, -14113*q + 2*k + 4 = -14111*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6119.607 nanometers?\nAnswer: 0.006119607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 6:08 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2214*s**5 - 7707*s**4 - s**3 - 132933*s**2 + 21*s - 1.\nAnswer: 132840*s**2 - 184968*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 42624 and 518.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 7:15 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + -1400?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 583 is divided by 43?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6781\/9945 + 9\/2210. Find the common denominator of m and 49\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 3*f + 9. Calculate l(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 + 3*y**2 + 2*y - 2. Let c be s(-3). List the prime factors of (-124)\/(0 + c\/4).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 736523 to the power of 1\/2, to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -1727*a - 4981. Calculate s(-3).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30*n**4 - 2*n**2 + 176*n - 2?\nAnswer: 360*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-4) + (-838)\/4. Let v = 381 + z. Calculate the highest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/2 - 210906*u + 421813\/2.\nAnswer: -(u - 1)*(u + 421813)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 - 4. Let t = 654 - 533. Suppose -i*d - 13 + t = 0. 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: Total of 1 and 88.3.\nAnswer: 89.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-36)\/(-30)*10\/4. Let w = t - 1. Factor 2*q**w - 3*q**2 + q + 3*q**2 + q**3.\nAnswer: q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 (base 13) in base 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 2*l - 11 = -0, -5*l + 4 = -3*b. Suppose 0 = -2*x + x - a + 6, 4*x = -5*a + 23. What is the remainder when 5*10*b\/(-6) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/3)\/g*g*g**(1\/8)*(g**(2\/7))**(-20\/7))**29 assuming g is positive.\nAnswer: g**(-841\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 86*q + 27*q - 9*q + 89*q in the form r + y*q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 4 + 0)*(0 - 5 - 3)*(0*w + 3*w - w) as f*w + k and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of l**7\/2520 - l**6\/180 + l**4\/6 - 2*l. Let d(w) be the third derivative of j(w). What is the second derivative of d(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*d - 2*b, -33 = -5*d - 14*b + 10*b. Solve 5*z + d*m - 11*m + 26 = 0, 2*z - m + 11 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/6 + (-28)\/(-6). Suppose y - c*y + 39 = 0. Let u = -17 + 67. Calculate the remainder when u is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 24\/(-11) + (-20)\/495\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.082 and 0.6.\nAnswer: 0.0492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 3.5. Let i = -43.4 - -44. Let p = i - g. Which is the closest to 3?  (a) -0.2  (b) p  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 1\/4  (c) -0.5  (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h - 12 - 15 - h**2 - 7*h + 29. What is the remainder when 52 is divided by m(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 253.7831 tonnes to kilograms.\nAnswer: 253783.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -30  (b) 5  (c) -59  (d) -0.4  (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(-1) - ((-22831)\/34)\/(-79)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 294996.9 centuries in millennia?\nAnswer: 29499.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.4998 rounded to one decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -130 + 420*j**2 + 80 + 50 - 5*j**3 = 0.\nAnswer: 0, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.672069 times -0.1?\nAnswer: -4.2672069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1840256?\nAnswer: 2, 11, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30857 + i + 30929 + 30864 + 30874 - 123439.\nAnswer: i + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3684 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 16*j**3 - 2*j**2 + j + 1. Let g be i(1). Let y be ((-3)\/6)\/((-8)\/g). Is (11268\/24)\/(y\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 - 2*a. Let u be f(3). Is (-34)\/((-2)\/21*u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2868 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 37 by -32244.\nAnswer: -37\/32244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -n**7\/42 + 7*n**6\/12 - 23*n**5\/4 + 175*n**4\/6 - 250*n**3\/3 - 603*n**2. Factor a(p).\nAnswer: -5*(p - 5)**2*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -137. Let f = -135.00000206 - i. Round f to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -123, -229, -355, -513, -715, -973, -1299, -1705?\n\"Answer: -2*j**3 + 2*j**2 - 98*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 plus 227745577?\nAnswer: 227745565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -475 (base 11) to base 2.\nAnswer: -1000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*o - 3*o + 2*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z. Let a be k(2). Let q be a\/(4\/2) - -10. Suppose -5*n + 2*n = u - 25, -4*n = 2*u - 32. Solve -2*t = -2*h - n + 21, 3*h - t - q = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3668 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15760 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 89081 divided by 4.\nAnswer: 89081\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 3*u - 99, 2*u + 7*v - 3*v - 88 = 0. Let j = 113\/3 - u. Which is the third smallest value?  (a) j  (b) -0.3  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3481 and 10438516?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*u = 2*n + 7*u + 15, n + u - 10 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37 - 94. Let r = d - -54. Let l = 0.06 + 1.94. Which is the closest to l?  (a) -2  (b) r  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0\/(-3) + -11)\/(2\/(-300)). Suppose -850 - i = -u. What is u rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2003 - -12113143?\nAnswer: 12111140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ziwziifzzblwillllizz. What is prob of sequence flzb?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 110  (b) 0.1  (c) 5  (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 AM and 1:31 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of g**2*h**2*n**2 + 2*g**2*h*n**2 + 430*g**2*n**3 - h**2*n**3 - 146*h**2*n**2 wrt n.\nAnswer: 2580*g**2 - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*l + 6 = -27*l. Suppose t - 2*t = 3, -l*n + 427 = t. What are the prime factors of n?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/9, -1\/3, 0.019, 0.3.\nAnswer: -1\/3, 0.019, 1\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j**3 - 7*j**2 + 3*j - 7. Let m(p) = -p**3 - 4*p**2 + 2*p - 4. Calculate -4*a(x) + 7*m(x).\nAnswer: x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-17)*i*i*i**(3\/10)*i)**(-2\/49) assuming i is positive.\nAnswer: i**(137\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of -94*u - 79\/10*u**6 + 123\/28*u**7 + 0*u**2 + 0*u**3 + 7\/2*u**5 + 0 + 1\/3*u**4. Factor k(o).\nAnswer: o**2*(3*o - 2)**2*(41*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of n**2 + 13*n - 7. Let a be u(-6). Is -2\/61 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1858*b**4 - 15*b**2 - 91*b?\nAnswer: 44592*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of i**4\/24 - 85*i**2 + 4. Let a(u) = -57*u**2. Determine q(a(v)).\nAnswer: -57*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (-17 - -28) + -37?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 1  (b) -10  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fiddpiiddfdbdlpbbi. What is prob of picking 1 p, 1 i, and 1 d?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 11, -0.2, -24, -708, 2, 1\/4, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) 11  (b) 0  (c) 1.025  (d) 1\/7  (e) 6\/11  (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 30177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/2*(-196)\/(-314874)*-81.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4847 or -4901?\nAnswer: -4847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**3 + 2*k**3 - 4*k**3)*(-4 - 3 + 2) + 7 - 4*k**3 - 7 + (4*k + 2*k - 5*k)*(2*k**2 - k + k) + 2*k**3 + 2*k**3 - 3*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 205 - 1847\/9. Let s = 9 + -6. Let r = s - -2. Which is the second smallest value?  (a) r  (b) 0.2  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -17981 and -2.7755?\nAnswer: 49906.2655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**6*a)\/a**(3\/8))\/(a\/(a**(1\/4)*a*a)*a**3\/a)*(a**3*a*a**(-6))\/(a**(-1)*a**(-2\/17)) assuming a is positive.\nAnswer: a**(679\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 308.88711 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 10 = o, -5*o + r - 550 = -578. Factor 0 + 16\/9*b**2 + 0*b - 2\/9*b**o - 34\/9*b**3 + 20\/9*b**4.\nAnswer: -2*b**2*(b - 8)*(b - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27 + -25. Determine y so that 16 - y + 15 - 33 + y**g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**3\/2 + 93*a**2\/2 - 738*a - 57024 = 0. What is a?\nAnswer: -96, -33, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 6*r. Let i = -23161 - -23172. Let x(h) = -4*h**2 + 29*h. Give i*m(a) - 2*x(a).\nAnswer: -3*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -65*t + 6698. Calculate j(102).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*m + 140 = -5*j, 5*m = -8*j - 5*j + 15*j - 43 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 27*b + 182. Let i be p(-9). Suppose -4*w + 4*y + 327 = 23, -5*w + 416 = 4*y. Let h = w + i. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21112012111022 (base 3) in base 2?\nAnswer: 1111010000011110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 12) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -44\/7  (b) -2\/5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 21 = f, 18*f - i + 5 = 17*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.662 + 10.662. What is the closest to t in 0.09, -4, 12?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2\/13589 + 1290847\/733806. What is the common denominator of l and 133\/90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1830*p**3 - 2 - 1047*p**3 + 2875*p**3 + 2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 147 = -4*j, -3*j + 2*j - 3*n + 40 = 0. What is the second derivative of 28*k - j*k + 18*k - 14*k**4 wrt k?\nAnswer: -168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1178, 1493, 2016, 2747?\nAnswer: 3686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggjjlwj. Give prob of sequence jl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 16) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 3)*(0*x + 4 - 3 + x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3835 - 3834.3727. What is r rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 14, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 174108567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5720 is divided by 183?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -5*o**2 - 501*o. Let u(b) = -3*b**2 - 504*b. Let d(y) = 3*a(y) - 4*u(y). Let d(s) = 0. What is s?\nAnswer: 0, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 120 - 68. Suppose 0 = 5*u - 3*b - 87, -3*u + h = 3*b - 5*b. What is the remainder when 70 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 4*i = -10, -6*i + 49 - 27 = 5*g + 40 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-4))**(1\/5)\/(o**(-2\/37)\/o*o)**37 assuming o is positive.\nAnswer: o**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1940 = 8*z - 4*z - 5*r, -2*r - 1912 = 4*z. Let j be (-46)\/(-3)*90\/z. Which is bigger: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1200102102211 (base 3) to base 14.\nAnswer: -193b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*m - 20 = 4*c, c + m + 114 = 106 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (9 - 135086\/(-7)) + -1 + 5. Is 19311 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 - 7. Let n(y) = 216*y - 147. Give n(c(d)).\nAnswer: 216*d**2 - 1659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*s - 3*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 20*p**2 - 4*p - 1. Let y be o(-1). Suppose 0 = -y*i + 27*i - 28. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5821 is divided by (-28)\/182 + -61*12\/(-26).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 20215 = -20187 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 13) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*n + 78 = -88*n. Let u(c) = 3*c**2 - 17*c + 74. Let q(g) = g**2 - 6*g + 25. Determine n*u(h) + 17*q(h).\nAnswer: -h**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15\/2*m + 1\/4*m**2 + 225\/4 = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9)\/(-1) - 12\/3. Suppose a*x - 96 = 74. Suppose -37*y + x*y = -12. What is the third smallest value in -1\/6, 1\/2, y, 0.04?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -191 = -2*o + 5*t, 3*o - t = -4*t + 255. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -6*y + 36. Let l(z) = -19*z**y + 31*z**2 - 14*z**2. Let m(v) = 2*v**2. Give m(l(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 6*u + 77. What is the least common multiple of b(-11) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*45\/(-30)*8\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -3*a + 273, -3*l - 2*a = -7*a - 257. Suppose -f = -5*n + l, 2*n - 4*f - 42 = -2*f. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 167663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -120 - -120.4. What is the closest to -0.1 in f, 1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -3*c + 133, -8*t = -3*c - 3*t + 161. Let n be (-20)\/50 + c\/5. Solve n = f - 4*y, 24 = -2*f - f - 5*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c - 8. Let p be z(17). Let f(h) = -2 + 21 + 2*h - 3*h. What is the tens digit of f(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 a when three letters picked without replacement from aaoarlmalarmaalaaaa?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.060478*0.662\nAnswer: 0.040036436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5 and 2041.29008.\nAnswer: 2046.29008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 PM and 2:35 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3*y = 18. Suppose 11 + 16 = -y*t. Put t, 3, 5, -1 in increasing order.\nAnswer: t, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 4*t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -25\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, -1, -3, -165, -508.\nAnswer: -508, -165, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3674 = -30*n + 3854 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5397 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -489800745 divided by -54422305\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 275 and 374?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5507 is divided by 262.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(10\/(-2032)) + (-41)\/(-205). Let m be 5\/(6 + c\/35). Solve -30*h = -m*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 189*a**4 - 3*a**2 - 3*a - 27. Let y(g) = -566*g**4 + 8*g**2 + 8*g + 78. Let t(q) = 8*d(q) + 3*y(q). Differentiate t(w) wrt w.\nAnswer: -744*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*(0 - -1) + 2. What is the common denominator of -79\/10 and c\/(-6) + (-298)\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-36)*c*c**18*c)\/(c**(-1\/36)\/c**(2\/3)) assuming c is positive.\nAnswer: c**(-551\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 621*n**4 - 2570*n**3 - 5656*n**2 - 20*n + 1 wrt n?\nAnswer: 14904*n - 15420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1953 divided by 1\nAnswer: 1953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 643 or 702?\nAnswer: 702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/18)\/(22\/(-627)) - -5. Factor -1\/4 - p*v**2 + 5\/8*v.\nAnswer: -(v - 2)*(2*v - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31 - 29. Which is the third smallest value?  (a) -8  (b) x  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-20)*3)\/(((-14)\/(-105))\/2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 0.2675\nAnswer: 0.08025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -u**2 - 2*u**2 - 7*u**2 + 2*u**2 + 6*u**2 - 62*u**3 - 361*u wrt u?\nAnswer: -372*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11082228 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.32 - 0.34. What is the biggest value in x, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - ((3 - (-4 - -5)) + (30 + -13 - 22))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 401587103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68285 - 77669 = -2427*b + 72476 for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10900 + 10848 = 2*n - 5*f, 5*n - 4*f = -28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from {f: 2, s: 9, l: 4, y: 1}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80496 = -512*w - 1797*w - 62*w + 118 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/2 - 161*o + 25921\/2.\nAnswer: (o - 161)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*m**4 - 2 - 2280*m**3 + m**4 + 2278*m**3 - m**4 - 3*m**4 to the form i*m + l + c*m**3 + y*m**2 + z*m**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 174, 709, 1600, 2847, 4450, 6409, 8724?\n\"Answer: 178*z**2 + z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -160358 or -160357?\nAnswer: -160358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 198*h + 193*h + 87080 = 0, -5*h + 52234 = 3*c. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -145 by -29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 267971 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 310617 + -310618.45889. Let a = 90 - 88.54. Let m = a + c. Round m to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 23.64  (b) -0.2  (c) -4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from uuuqquuqquqbbuquu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -4*d - 77. Let u be o(-49). Let q = -11 - -18. Calculate the greatest common divisor of u and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1631483795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from ygn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**3 - 2*b**4 + 29 + 31 + 2*b**2 - 58 + b to the form w*b**3 + f + j*b**4 + m*b + d*b**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(56)\/(sqrt(6)\/sqrt(3)))\/sqrt(4) - (4 + (sqrt(7) - sqrt(28)) + sqrt(14)\/sqrt(8) + sqrt(7)))**2.\nAnswer: -4*sqrt(7) + 71\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 4*b**2. Suppose -6 = k - 0*m + 3*m, 0 = -4*k + 3*m - 9. What is f(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -12*u - 22. Let o be p(-6). Let s = o + -32. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 2*x - 15 = 5*c, 23*x - 10 = 25*x for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*(-264)\/(-414) + 2\/1. Suppose -p + 0 = -2. What is the closest to 0 in p, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-88)\/11*(-372)\/16 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(6\/5))**(-49)\/(i**(-2\/23)*((i\/i**(-3\/5))\/i)\/i) assuming i is positive.\nAnswer: i**(-6706\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/32)\/((-30)\/24)*36540\/(-174)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (4 + -5)) + -2 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from oypotyopipy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, -2\/9, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/10 + (-6 + 2 - -7)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1481744881561386.0000083 + 1481745192104512. Let i = y + -310543107. Let k = 19 - i. Round k to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(110)\/((sqrt(20)\/sqrt(2) + sqrt(10))*3).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7028 + 10?\nAnswer: -7018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.267710525 rounded to 4 decimal places?\nAnswer: -1.2677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -5*k. Let j(x) = x**2 + 54000. Let v be j(k). What is v rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/8)\/(1\/4). Suppose 5*f + a*b = -14, 1 = -4*f - b + 2*b. Let p be (2\/2)\/((4\/28)\/((-22)\/(-3619))). Which is greater: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-14)*o\/(o\/(o**(5\/6)*o))*(o\/o**16*o*o)\/o**(6\/7))**16 assuming o is positive.\nAnswer: o**(-8744\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 12010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 9, 38, 85, 150?\n\"Answer: 9*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus -1603172087?\nAnswer: -1603172086.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77, 58, 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1139)\/34*(975 - 977)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*b + 30 = 33*b. Suppose 85 = b*m + 335. What are the prime factors of (-12210)\/m - (-1 - 12\/(-10))?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -800833 divided by -72803\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 5*d - 12. Suppose -12 = 3*z, d*t - z = -5*z + 656. Calculate the greatest common factor of 21 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**2\/8 + 1205949*f\/8.\nAnswer: -3*f*(f - 401983)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - (9 + 10) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c - 11276 - 10372 = 0. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of a**5\/20 - 3*a**4\/4 + 3*a**3\/2 - 5*a**2\/2 - a. Is 3 a factor of t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1468 divided by -134229.\nAnswer: -1468\/134229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 + 0*z**2 + 0*z**2)*(1 - 5 + 1)*(2*z - 10*z - z).\nAnswer: -54*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -0*f - 3*f + 12, -f + 5 = -w. Factor m**2 + m + m + 1 - f*m**2 - 2.\nAnswer: -(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5578 greater than -5579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 AM and 6:19 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -158*m - 473. Calculate d(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6158195*z**5 + 3723679*z**2 wrt z.\nAnswer: 369491700*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -19\/30, -0.2, -0.1, -3 in ascending order.\nAnswer: -3, -19\/30, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -v + 4*m, -4*v + 129 = -2*m + 147 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -324440.274 + 324753. Let h = -313 + s. What is h rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*p - 4*p - 4*p + 0 + 0 + 2*p + (p - 2*p + 0*p)*(0 + 1 + 0) - 2*p - 3 + 3 + (1 + 2 - 2)*(5*p - p - p) as h*p + g and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -5*d + 29, 5*p - 19 = -5*d - 4. Suppose -l = -5*l + g + 32, -d*l = -g - 40. Let a = -150 + 238. Calculate the highest common divisor of a and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + -3*1 + (-42)\/(-14). Let r(c) = c**3 - 2*c**2 + c + 1. Let s be r(2). Let j be (1\/(-3))\/(2\/(-6)). Solve -s = -d*a + j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-2)*k*k**(2\/5)*k)\/(k**(-2\/9)*k\/(k\/(k*k**(4\/7))*k)) assuming k is positive.\nAnswer: k**(1591\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10.5832 and 2?\nAnswer: 21.1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 408*c + 933*c - 96552 for c.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2256)\/(-37224))\/(6\/2277).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -9819 at least as big as -803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -10*v - 162. Let i be 13 + v - (-1 - (-1 - -5)). Factor 0 + i*m + 0*m**3 + 2\/3*m**5 + 0*m**2 + 2\/3*m**4.\nAnswer: 2*m**4*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1120018 equal to 1120019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7070000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1  (b) -4.8  (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -34670000 to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2197420444.\nAnswer: 2, 13457, 40823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((11388\/15695)\/(-78))\/(1\/(-5))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 + 8*f**2 + f. Let a(b) = -15*b**3 - 1037*b**2 + 304*b + 5. Let d(q) = -a(q) + 16*h(q). What is the second derivative of d(v) wrt v?\nAnswer: -6*v + 2330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3210\/2568*56\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 0*u - 3*u)*(4*u**2 - 2*u**3 - 4*u**2) + 86*u**4 - 484*u**4 - 164*u**4.\nAnswer: -558*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + 8a06?\nAnswer: 8a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z**3 + 25*z**3 + 23*z**3.\nAnswer: 42*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 28705973029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63378390?\nAnswer: 2, 3, 5, 59, 61, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/((-4)\/(12\/(-9)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1608, 3029, 4266, 5319, 6188, 6873?\nAnswer: 7374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggggglgl?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*q - 4. Let x(z) = -z**2 + 2*z + z**2 + z**2 - 3. Calculate the remainder when 13 is divided by x(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 57 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 172117 and 11275?\nAnswer: 176419925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 20747*y**3 - 20747*y**3 - 2400 - 3813*y**4 + 9877 wrt y?\nAnswer: -15252*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3404650)\/(-125675))\/(10\/5*(-2)\/22).\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1262818*s**3 - 918810 wrt s.\nAnswer: -3788454*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*m + 98*m = -67 + 4195. What is the smallest common multiple of (-1)\/4 - (-180)\/16 and m?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6300336 and 238?\nAnswer: 6300336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 110704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-25) + (-25 - 4214\/(-175)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 516 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 437757 = -s - 437742, 0 = 5*s + 5 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - b + 2 - 4500 + 4500 - 28*b - 2*b + 0 + 0 + 2*b + b - b + (4 - 5 + 3)*(0*b + 4*b - 3*b))*(-b + b - b) as n*b**2 + k*b + d and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/(-30) + (-66)\/15. Let h(w) = 6*w + 24. Let n be h(q). Solve n*u = 4*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y - 20. Let l be a(8). List the prime factors of (l - 0)\/(7\/(-154)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/3 - 592*j\/3 + 590\/3.\nAnswer: 2*(j - 295)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -78668 by 4.\nAnswer: -19667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*p - 8*p - 11*p + 3*p.\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a + 20. Let d be m(-6). Let b be 3*(2 - d\/12). Let f be ((-8)\/160)\/(b\/(-150)). Is 1 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67871 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 58. Let f = -49.9 - y. Which is the third biggest value?  (a) -1\/2  (b) -0.3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 1. Let s = 25.6 - 26. Which is the third smallest value?  (a) 0  (b) s  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 PM and 12:34 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - -2. Let j(b) = b**3 - 7*b**2 + 3. Let c be j(m). Calculate the smallest common multiple of 10 and (c\/(-12))\/(1\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 221 = -3*q - 149, -5*z - 262 = 2*q. Let m = q - -130. What are the prime factors of 51 - (2 + -2)\/m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 576 is divided by 150?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-39) + (24 + 8)*(-30)\/156. Let n(f) = -4*f**2 + 5*f - 4. Let g(v) = 4*v**2 - 4*v + 4. Give q*g(x) - 5*n(x).\nAnswer: -4*x**2 - x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1392387 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 + 12)*2\/(-4). Let o be (-2)\/7 - 69\/(-21). Let t be m*((-6)\/4)\/o. Solve -4*r - 4*b = -4, 4*r - 2*b + 20 = t*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -50*c**2 - 6. Let u(x) = -149*x**2 - 19. Give -10*p(m) + 3*u(m).\nAnswer: 53*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from obuubbi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 51.178975645 from -3.086.\nAnswer: -54.264975645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 38  (c) 3\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k**2 - 72*k + 160. Calculate t(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1 + -0.4. Let z = 3 - 2.7. Let v = 7 - 5. What is the third smallest value in g, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 2*p + p - 54 = 0, 4*k - 44 = 2*p. What is the third derivative of -26*j**4 + 2*j**2 - k*j**4 + 17*j**4 wrt j?\nAnswer: -504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -3.4  (b) 5.6  (c) 2  (d) -1\/20  (e) 2\/869\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -13*l - 587. Let w(j) = 11*j + 586. Calculate 6*a(y) + 7*w(y).\nAnswer: -y + 580","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 47*z**2 - 207*z + 16. Let n be f(4). Factor -686\/11*i + 294\/11*i**2 + 0 + 2\/11*i**n - 42\/11*i**3.\nAnswer: 2*i*(i - 7)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 57214 - 285043\/5. Let a = -205 + l. Let n = -31\/2 - -16. What is the third biggest value in n, -3.8, a?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 331 + 200. What is the hundreds digit of (-2)\/10 + 1\/5*p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1275*i - 1277*i - 5*a + 25 = 0, -36 = -6*i - 2*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/7)*k**(9\/5))**(2\/101) assuming k is positive.\nAnswer: k**(146\/3535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2745 + -8309\/3. Let k be 1267 + -4 + (3 - 1). Let s = k - 3841\/3. Calculate the common denominator of m and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of 319*a**7\/35 + a**6\/120 + a**4\/24 + 905*a**3\/6 - 3451*a**2. Find the second derivative of g(d) wrt d.\nAnswer: 22968*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -75 + 48. Let q = -1364689798.00000358 - -1364689771. Let v = n - q. What is v rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0688 times -0.5\nAnswer: 0.0344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6081464773 to the power of 1\/2, to the nearest integer?\nAnswer: 77984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-7) - (-492626)\/119. Suppose i = -18*a + 24*a. What are the prime factors of a?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + q + 2. Let a(c) = -28*c**3 + 54 - c**2 + 57*c**3 - 28*c**3. What is the remainder when a(0) is divided by o(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyn when three letters picked without replacement from hnsesyyshysnnnyn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2697105.\nAnswer: 3, 5, 179807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 194, 38, -414, -1318, -2830, -5106?\nAnswer: -8302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -9) + (-20 - -23) + -26.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-96187)\/245 - ((-12)\/(-5) + -2). Let w = -157 - n. Which is smaller: w or 237?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84594165 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zhhhhzzhqzh. Give prob of picking 3 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 106, 1160, 4138, 10018, 19778?\nAnswer: 34396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - 9 - 15) + 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 + -17013.79.\nAnswer: -17014.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eedddeee. Give prob of picking 1 d and 3 e.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(847))**2 - (1 + sqrt(175))**2) + 4)*2.\nAnswer: -20*sqrt(7) + 6432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 18 - 14. Let l(j) = -127*j**2 + j + 28. Let y be l(f). Round y to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 divided by -74?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -22, -79, -168, -289, -442?\n\"Answer: -16*d**2 - 9*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -88\/15 + 61\/5. Which is bigger: r or 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -782*n + 29187 + 2509 + 24608 = 0 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 3*g**2 + 2 - 2*g**2 - 2*g**2. Let p(k) = -1. Let t(i) = 1. Let q(z) = z + 2. Let m be q(5). Let f(v) = m*p(v) + 6*t(v). Calculate -2*c(a) - 3*f(a).\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 8.226\nAnswer: -3.2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 + 146. What is the remainder when w is divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*i + 2077*i**2 - 1019*i**2 - 2*i as q + u*i**2 + w*i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3114854 less than -5118740?\nAnswer: -2003886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -35 - -37. Suppose 0 = -4*a - 3*s + 52, m*a = -2*s - 3*s + 26. Let y(b) = 52*b**2 - 1. What is the remainder when y(-1) is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c**5 - 240*c**3 + 60*c**2 + 7*c wrt c.\nAnswer: -120*c**2 - 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r. Let h be f(-3). List the prime factors of (-10)\/h*6\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**4 - 2*d**3 - 7*d**2 - 16*d - 7. Let j(k) = -k**2 - k - 1. Let z(i) = -21*j(i) + 3*w(i). What is the second derivative of z(q) wrt q?\nAnswer: -36*q**2 - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 252 and 24164.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2089423402?\nAnswer: 2, 11, 8633981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.055 - -4.055. Which is the second biggest value?  (a) r  (b) -0.1  (c) -0.5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/(-105) - 41702\/(-4710)) + -6*27\/18\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 141 + -13?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 26*d + 20. Let z = 5356 - 5383. Determine s(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1474.5 - 1475.3. Which is the closest to -2?  (a) 2\/5  (b) -1  (c) v  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -352, -363, -374, -385?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*x - 130*x + 67*x = 6525. What is the greatest common factor of x and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.46  (b) 0.3  (c) 0  (d) -4  (e) -5  (f) 299\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25443650173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 303498454 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5516346*g**2 - 5445066?\nAnswer: 11032692*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/(5\/(-6)))\/(-1). Solve -3*g - 9 = -o*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.3 - 5.8. What is the closest to -0.5 in g, -3, 3\/5, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (46\/6)\/((-4)\/(-24)). Let d = c - 17. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2322, -2318, -2320, -2334, -2366, -2422, -2508, -2630?\nAnswer: -2794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1112220 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -53.9276981 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = 4*x + 12, 2*x + 26071 = 5*d + 26068 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2668 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.76 - 6.5. Let f = 1.27 + n. What is f rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8913939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from tutxtxtufjtj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(810) - 1*sqrt(810)) + sqrt(10))*-3)\/(sqrt(605)*1 - sqrt(15)\/sqrt(3)*-4).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*k - 18*k - 70 = 0. Is 7 a factor of ((-77)\/14 + 8)*184\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*((sqrt(65) - (sqrt(65) - sqrt(65)*4) - sqrt(65)) + sqrt(65))*-6)\/(sqrt(80)*-1*-6))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*q - 21936 + 63451. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 14, 26, 38, 50?\n\"Answer: 12*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1*sqrt(425) + 0 - -1*((sqrt(153)*2)\/sqrt(9) + sqrt(17)))**2.\nAnswer: -3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -528*p**5 + 7969*p - 177169*p**3 + 7 + 177171*p**3 - 3096*p**5 - 7 wrt p?\nAnswer: -72480*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -86 + 122. Let k be -5 - -1*c\/4. Solve -15 = 5*x + k*l, 2*l + 9 = -3*x + 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 6:47 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 22103 (base 5) to base 16\nAnswer: 5f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 + 4*w + 3. Let o be l(-2). Let z(g) be the first derivative of 3*g**3\/2 + 25*g - 21. Let x(n) be the first derivative of z(n). Calculate x(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -100 - 2?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 280*q**2 + 97*q - 358. What is the hundreds digit of m(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/6*(-357)\/(-238)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1121*n + 1138*n + 238 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 17532579 divided by -17532579\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 34*f**2 - f + 37. Let g be c(34). Let o = 36 - 25. Sort 5, 4, g, o in descending order.\nAnswer: o, 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4529 and 147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*b**2 - 11*b**2 + 2*b**2 + 1 + 7*b**2 + 10*b**2 - 72*b**3 to the form i*b**3 + t*b**2 + j + h*b and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from qnqbqrhnqenbheb.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 8*i - 8. Let c be g(6). Suppose -c*u + 76 = -64. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21*-3978507.\nAnswer: 83548647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-21)\/3 - -164*1 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*b - 1791 + 2847. Sort b, 0, -1 in descending order.\nAnswer: b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, 5, 2489, 1 in ascending order.\nAnswer: -4, 0, 1, 5, 2489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-2 + sqrt(468)).\nAnswer: -6*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-10) - (-5 - (-320)\/25).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - ((-1590)\/(-90) + -16)\/((-26)\/(-90)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001 plus -276230?\nAnswer: -276230.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (58 - 66)*(-23)\/2 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 893336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/668087 and 81\/4?\nAnswer: 2672348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 105993741503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 0*u**2 - 5*u + u**3 + 7*u**2 - 150779 + 150769. Give p(-5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (1\/1 - -2). Let a(b) = 2*b**2 + 3*b - 4. Suppose -4 = -5*y + 3*y. What is the smallest common multiple of y and a(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that c**4\/8 + 13*c**3\/8 + 21*c**2\/8 - 13*c\/8 - 11\/4 = 0.\nAnswer: -11, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66*1.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.05 - -2.45. Let t = q + 0.5. Put 1, t, 0 in ascending order.\nAnswer: 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -396 - -2770\/7. What is the biggest value in 0.13, r, -2\/5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1642\/3 - 547. Factor -1\/6 - 1\/6*r**2 - y*r.\nAnswer: -(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31009603?\nAnswer: 31009603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4117 - -4137. Solve -18*n - 5*x = -v*n - 20, -29 = 5*n - 2*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 3:29 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1614343672 to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**2\/9 - 116440248*u + 7626561386794596.\nAnswer: 4*(u - 130995279)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 6. Suppose -f*y + 67 = -141. Let o = 44 - 26. What is the remainder when y is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Let g = -1.5 + 1.7. Put g, 5, -4 in descending order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 + 2*t - 10. Let o be a(6). Let f be 5\/25 + o\/10. Differentiate -6*w**3 + f*w**3 - 1 - 4 + 0 with respect to w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d**(-1\/8)\/d))\/d)\/(d\/(d*d*d**8\/d)))\/((d\/(d\/(d\/(d\/d**(1\/5)))))\/(d*d**(-4)))*(d*d**(9\/4)*d*d**(-1\/3)*d*d)**41 assuming d is positive.\nAnswer: d**(29821\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 - 4*f**2 + f - 1. Let z be x(5). Suppose 25*c - z*c + 60 = 0. Calculate the remainder when 58 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 712488 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 1931 - 1980 = p, 0 = -4*g + 35*p + 104 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/47 in -1\/3, -40524, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.33 in -2, 35, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 16843761 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*s + 8*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 - 2*i + 9. Suppose 5*q = -4*j + 32, -5*j + 2*q = -33 - 7. Calculate the lowest common multiple of -36*(2\/(-4) + 0\/j) and f(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*o - 17*o + 78*o - 1995 - 51*o in the form z*o + v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/(1 - (-6)\/(-5)))\/1. Solve 3*h - 4 = t + 3, 5*t + c = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29744088 a multiple of 934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*f + 153*f + 186 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19894 - 19891. Solve -k - 4*g = -14, -77*g + 73*g + 6 = -w*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 343 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -128\/3 - 2\/3*q**3 + 128\/3*q**2 + 2\/3*q.\nAnswer: -2*(q - 64)*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of -f**5\/20 - f**4\/2 - f**3\/6 + 13*f**2\/2 + 35*f. What is the units digit of k(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 57.462891?\nAnswer: 172.388673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h\/h**(-3\/8)))**(-25))**(-4\/7))**(-7) assuming h is positive.\nAnswer: h**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g - 2*g + 3*g)*(g - 3*g + 0*g) - 49607*g**2 - 34378*g**2 + 2 - 41262*g**2 - 2 + 17677*g**2 in the form k*g**2 + f + h*g and give k.\nAnswer: -107568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 + -1)*(3\/(-2))\/((-832)\/(-128)). Put 0.5, q, -0.5, -3 in increasing order.\nAnswer: -3, -0.5, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(-14 + 10) - -264. Is 236 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6 - -144)\/((-4)\/(-2)*7\/14). Solve 153*h = r*h + 18 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**3 + 4*i**2 - 4*i + 3. Suppose 9 + 1049 = -46*z. Let r be z\/(-46) + 9\/6. What is y(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 5*r**2 + 6*r - 1. Let o be v(-6). Is 2 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 15 = -3*n, 3*n - 115*u - 39 = -112*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6a9 (base 16) to base 8.\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 35.5 - 36. Which is the third biggest value?  (a) -0.14  (b) 2\/11  (c) -1\/4  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*u**2 + 2*u**2 + 2*u**2 + 0*u**2 - 2 - 2*u in the form f + k*u**2 + v*u and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1723 - 1722.9. Is 107\/3 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.7 - 44.7. Let i = f + 19. Let w = -21 - i. Which is the second smallest value?  (a) w  (b) -1  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of -11*f**5\/10 - 7*f**4\/4 - 14*f - 21. Let g(b) be the first derivative of w(b). What is the third derivative of g(l) wrt l?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f - 1. Let y be -3 + 8 + (1 - 2). Let u(g) = 6 + y*g + 5 - 6. Let s(h) = 10*l(h) + 2*u(h). Let a(t) = -10*t. What is s(a(x))?\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= 2\/783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - 1 - (2 - (-42)\/(-7)). Let l(s) = -s**r - 20 - 10*s + 12*s - 2*s. Let x(v) = -v**2. Determine x(l(h)).\nAnswer: -h**4 - 40*h**2 - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -7 * -19.1\nAnswer: 133.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*w - 18 + 2 + 6 + 1.\nAnswer: -116*w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 718864.9 millilitres in litres?\nAnswer: 718.8649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from koofzzzgeog. What is prob of picking 1 e, 1 z, and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of c**5 - 85*c**4\/4 - 665*c**3\/3 - 575*c**2\/2 + 6956. Determine z, given that m(z) = 0.\nAnswer: -5, -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/(-6)*(-4)\/3. Let l(x) = 4*x - x**3 - 3*x - 2*x + d*x**2 + 1. What is l(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x - 2. Let f be j(6). Suppose 2*m - l - 22 = 0, -l = l - f. Suppose 4*w - 4 = 0, z + w + 3 - m = 0. What is the highest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108*i**3 + i**2 - 2*i**2 + i**2.\nAnswer: -108*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3174842031.\nAnswer: 3, 19, 229, 243227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -10969*f**3 - f**2 - f + 1. Let t be w(-1). Suppose 0 = 5*k - 110715 + t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*a + 6915 = 92*a - 3078 + 1417 for a.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of 3\/2*x**4 - 2 + 0*x**7 - 1\/5*x**5 - 13*x**2 - 9\/40*x**6 + 0*x**3 + 1\/112*x**8 + 0*x. Find j, given that u(j) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ugk when three letters picked without replacement from ggggkuukgkguug?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1224)*-2 + sqrt(102)\/(sqrt(9)\/sqrt(3)))\/(3*sqrt(2)*1 - sqrt(2) - (1*sqrt(18))\/sqrt(9))*5)**2.\nAnswer: 51425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*h + 372 = 34*h - 30*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -v**4\/4 + 2*v**3\/3 - v**2. Suppose -4*y - 32 = 2*g - 8*y, 4*y - 40 = 4*g. Let f(o) = -5*o + 4. Determine g*t(i) + 5*f(i).\nAnswer: -i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 1209*j + 3558. What are the prime factors of q(36)?\nAnswer: 2, 3, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2632, 3, 2 in increasing order.\nAnswer: 2, 3, 2632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23021 (base 4) to base 7.\nAnswer: -2036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, m: 3, h: 3, n: 1, r: 4, c: 3}. What is prob of picking 3 c and 1 h?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3755555, -3755478, -3755401, -3755324, -3755247?\n\"Answer: 77*h - 3755632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.3128 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11\/4 + (-3)\/4. Let p be j - (0 - (-40 + (-3)\/1)). What is the common denominator of p\/(-14)*(-17 - 1)\/9 and -32\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -119239000 rounded to the nearest 100000?\nAnswer: -119200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d*g**2*t**2 + 3*d*g*t**2 + 7*d*t**3 - 3*g**2*t**4 + g**2*t - 4*t**6 + 4*t**2 wrt t.\nAnswer: 42*d - 72*g**2*t - 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 3 + -12 + (3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 l when four letters picked without replacement from wlwwlllwwllllwlw?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -98 != -14479\/147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44076 = 105*r + 48696 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17561584.\nAnswer: 2, 1097599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6957966 is divided by 4842?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -3*z + 3*p, 3*z + 10 = 4*p - 3 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -706717, -2826813, -6360303, -11307187, -17667465, -25441137?\nAnswer: -34628203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 86093 and 144746?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*r - 2228 = 57*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-36 - (-209)\/(-11))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -1560.6?\nAnswer: -1560.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 507*k**2 - k - 1. Let f be v(-1). Suppose -2*s + s = -f. Let a be (0 - 10)*-1*(-117)\/s. Which is bigger: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-3\/14)*j)**(8\/7)\/(j*j\/((j*j\/(j*j\/j**(14\/13)*j)*j)\/j)*j**(-4\/17)) assuming j is positive.\nAnswer: j**(-8553\/10829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 12:33 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/4, 1, -1\/33, -3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/21 and 3 + -5 - 3206\/(-1452).\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 42*l + 36. Give i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -82601217*f**2*j**3 - 194204*f**2*j - 156*j**2 wrt j.\nAnswer: -495607302*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -s**8\/56 + s**5\/60 + s**4\/8 + 29*s**2. Find the second derivative of v(y) wrt y.\nAnswer: -120*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 39, 58, 91, 138, 199, 274?\n\"Answer: 7*d**2 - 2*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dafv when four letters picked without replacement from {d: 1, a: 3, v: 1, j: 10, o: 2, f: 2}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 3*z + 2. Let o be (120\/(-33))\/(-2) + 6\/33. Suppose -14 = -l + o*l + 5*s, l + 8 = -3*s. Let n be d(l). Sort 4, n, 0, 2 in ascending order.\nAnswer: 0, 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (654\/(-8))\/((-81)\/1188) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 256326673 >= 256326673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hwy when three letters picked without replacement from {y: 1, w: 7, h: 1, d: 3}.\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of -a**3\/6 - 11*a - 65. Let l(d) = 75*d + 3. Give p(l(i)).\nAnswer: -75*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -27 - 4*d**2 - 2*d**2 + 28 + 2*d**3 in the form f*d**2 + n*d + b + v*d**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 16*l - 17. Calculate the remainder when d(4) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*j - 4*j - 3*j)*(2*j + 6*j**2 - j - 7*j**2) to the form i + l*j**2 + k*j**3 + w*j and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 54 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -4*l - 36. Let r(f) be the first derivative of -4*f**3\/3 - f**2 + 2*f + 1. Let o(p) = 9*p**2 + 5*p - 5. Determine l*o(v) - 5*r(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-10731)\/245*(1280\/(-48))\/16\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 3:01 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 27*i*j**4 + 3713*i*j + 2*j**4 + 2*j**3 wrt j.\nAnswer: 324*i*j**2 + 24*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(19) - (-1 + sqrt(19))))**2 - (((sqrt(228) - (sqrt(228) + sqrt(228)*-1) - sqrt(228))\/sqrt(12))**2 - sqrt(19) - sqrt(19)).\nAnswer: 2*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1880)\/(-560) - 3*1\/(-2) and -14\/19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 8) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10830 + -3419. Let u = -19411 + 4300. Let c = x + u. What is c rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6 and -2108.32.\nAnswer: 12649.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z - 1 + 1 - 3*z - z + 6*z + (2 - 2 + 3)*(-30*z + 149*z + 30*z) to the form j + b*z and give b.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 6, 2424, -3, 1 in increasing order.\nAnswer: -3, 1, 3, 6, 2424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -10, 3, 30 in increasing order.\nAnswer: -10, -2, 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 PM and 8:50 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 8) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.791602 meters to millimeters.\nAnswer: 3791.602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -16578658 rounded to the nearest ten thousand?\nAnswer: -16580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - 11*i + 13. Let t be 1 + -1*16*5\/(-10). What is j(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 18596 = 3*x, -x - 3*m = 2*m - 6180. Suppose -51*b + 20*b = -x. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, 1\/4, -4, 1\/193, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 72710028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-150)\/(-225) + (-6252)\/(-9). Which is greater: j or 696?\nAnswer: 696","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 36, 39, 44, 51, 60?\n\"Answer: v**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lzzl when four letters picked without replacement from kjkzkxkjzklolzj?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2312 by 4.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 651 and 13392.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -270 + 2300?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/6643860 and 28\/8304825?\nAnswer: 33219300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-2\/5))\/(x\/(x\/x**(-4)*x)))\/(x*x**(-1\/4))**(-42) assuming x is positive.\nAnswer: x**(371\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 0)*(-15 + 18 + 2*x**3 + 10) + 5*x**3 - x**3 - 16*x**3.\nAnswer: -16*x**3 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -10*u**2 + 8*u + 8. Let a(d) = 4*d + 179*d**2 - d - 182*d**2 + 3. Calculate -8*a(z) + 3*m(z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1743 and 39?\nAnswer: 22659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -436 - -508. What is the greatest common factor of 696 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**2 - 11*w - 10. Is y(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 9, n: 3}. What is prob of sequence tn?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (7 - (1 + -24)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 6. Suppose -5*a + w*i + 24 = i, -i = -4*a + 20. Suppose n = -a*h - 2*n - 59200003, 0 = -n - 1. What is h rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 3 + 4 + 3*b**2 + (-4*b - 4*b + 5*b)*(-3*b - b + 0*b))*(-1 - 3 + 3) to x*b**2 + i + t*b and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*l - 5*h, -6*h = 5*l - 2*h - 9. Suppose -3*d = -6*d - 3. Let x be d\/(-2)*(-2)\/4. Which is the third smallest value?  (a) 3  (b) l  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 476 - 241. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of -g**6\/120 - 7*g**5\/30 + g**4\/8 + 8*g**2. Let w be n(-13). What are the prime factors of (-1)\/(((-12)\/(-3))\/w)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j*j\/(j*(j*j**(-2\/15))\/j*j))))**47 assuming j is positive.\nAnswer: j**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 less than -80659.3236561?\nAnswer: -80659.9236561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -10 - -24 - 12 - (-4 - -1). Solve 18 + 7 = -b*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 5160 = -17*u + 21*u, a = -5. Is u not equal to -1300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 564, 369, 340, 561, 1116?\n\"Answer: 14*n**3 - n**2 - 290*n + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -2*m - 748451, -290466 = -4*g + m + 308293. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 - 7*q + 0*q**2 + 7*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 394192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 96887 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -1\/4  (c) -10  (d) 0.4  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -37, 45, 5, -2, -1, 0 in increasing order.\nAnswer: -37, -2, -1, 0, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1597358 is divided by 532425?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1428229343?\nAnswer: 59, 24207277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 235 + -201. Let i(p) = -p**2 + 35*p + 65. What is the units digit of i(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2450 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + 11*l + 30. Give j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 4*g - 17 = 2*p, -6 = p - 2*g. What is the second derivative of -6*d + 4*d**p - 3*d**4 + d**4 wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-54)\/(-45)*10*(-1)\/(-4). Suppose -p + 3*n + 301 = 0, n + 919 = y*p - 0*n. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of d**6\/6 - 15*d**4\/4 - 10*d**3\/3 + 30*d**2 - 8*d. Find o such that z(o) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + 8*q - 16*q + 6*q.\nAnswer: -2*q + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 12*i - 240 = 0. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (s - s + 2*s**3)*(1 + 0 + 1) - 76699*s + 3 + 39*s**3 + 76695*s - 19*s**2 - 2 to the form q + t*s**2 + h*s**3 + j*s and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-2.3\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + -3*(0 - 1). Let d(n) = -n**3 + 4*n + 4. Let f(p) = -p**2 - p. Let v(t) = d(t) + 4*f(t). Let h be v(-4). Solve 0 = 2*k - c*k - h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y. Let i(n) = 4*n. Let x(t) = 4*i(t) + 18*r(t). Let w(f) be the first derivative of 0*f + 0*f**2 - 2 - 4\/3*f**3. Determine x(w(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 171 divide 2310552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 60*u**2 - 60*u**2 - 15*u**4 + (-2*u**3 + 5*u**3 - 2*u**3)*(-3*u - u + 2*u).\nAnswer: -17*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 0. Let f be 3 + -5 + 1802\/10. Let i = 179 - f. Is h < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 4:30 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3*(-3 - (-8)\/2). Let m = 3\/34 + 39\/136. Which is the fourth biggest value?  (a) m  (b) -2\/3  (c) 6  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (29 + -54)*(-32)\/10. Calculate the highest common factor of 650 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {q: 7, k: 1, o: 5, n: 1, p: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/15*(-15)\/36?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(2448)*-1*4 + -5)*3)**2 + 4.\nAnswer: 12960*sqrt(17) + 3172837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -23?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.008971957 rounded to 5 decimal places?\nAnswer: -0.00897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes after 3:44 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 10*v + 3. Calculate c(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14154045.\nAnswer: 3, 5, 943603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 785843 is divided by 157031?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 267 + -177. Calculate the lowest common multiple of 66 and r.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 815*b*l**3*s - 4*b*l**3 + 8*b*l*s + 5*b*l - 206*b*s - 4*b + 19*l**2*s + 3*l**2 wrt l?\nAnswer: 4890*b*l*s - 24*b*l + 38*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3*s - 12 = 0. Let m(p) = -3*p**2 + 2*p**2 + 2*p**2 + 2*p + 1 + 0*p**2. Let b(l) = -l**2 - 2*l - 2. Give s*m(n) - 2*b(n).\nAnswer: -n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28 + 32. Let j(k) be the third derivative of 1\/6*k**3 + 0*k**5 + 0*k + 0*k**d + 1\/120*k**6 - 2*k**2 + 0. Differentiate j(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -4837\/8383 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.018 and -10767.\nAnswer: -193.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1293739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*f + 1198 - 2413 = 0 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.2 - -0.2. Let m = 16 + -18. Let a = 14 + -19. What is the third smallest value in j, a, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 + 6*g**2 + 5*g + 2. Let a be u(-5). Suppose 0*p - 10 = a*p. Let n be p\/(-3)*(-3)\/(-1). Solve 4*l + n*v = 0, -5*l + 3*l = 4*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 172 + -170. What is the third derivative of -52*j**3 + 55*j**a - 5*j**2 + 17*j**2 wrt j?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*-1*(sqrt(77) - sqrt(77)*-2))\/(sqrt(1008)*-1*4))**2*2.\nAnswer: 11\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 PM and 10:36 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is bb1 (base 13) in base 8?\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*i - 73 + 1239 = 0. Let y = 138 + i. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 4*m**2. Let s be w(-1). Suppose -3 = -r - p + 1, s*r = 5*p + 16. Suppose -t + 4*t = -r*l + 14, -2*t - 4 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 33 or -1474?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -21  (b) -4  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9.2894 - 9.3. Let a = q + 0.01. What is a rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 24, 127, 298, 537, 844, 1219?\n\"Answer: 34*n**2 + n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6\/13, -5\/2, 12\/119, 250\/11?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -4. Let y = 9 - n. Suppose 2*s + 3*x - 180 = y*x, -4*s - 5*x + 351 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -1. Suppose 0 = 5*u - 3*p - 64, 39 - 3 = 3*u - p. Let k(f) = -2*f - u + 2*f**2 + 0 + 10 - 4. What is -k(b) + 3*m(b)?\nAnswer: -2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - t + 78, -304 = -4*j + 429*t - 434*t. Solve 93*v = j*v - 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23\/73 - -4\/219. Factor 0 + 0*p - k*p**2 + 1\/3*p**3.\nAnswer: p**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of k**6\/3 + 109*k**4 - 5723*k**2 + 11585. What is the second derivative of c(o) wrt o?\nAnswer: 40*o**3 + 2616*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1596520.\nAnswer: 2, 5, 167, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6207775080.\nAnswer: 2, 3, 5, 13, 17, 149, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/5)\/((-8)\/20). Suppose 4*z = n*z - 12. Calculate the common denominator of ((-57)\/(-6))\/(z\/16) and 10\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yibw when four letters picked without replacement from {y: 8, b: 9, i: 1, w: 1}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.307 and -0.2.\nAnswer: 0.0614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 + 6*u + 3. Let l be v(6). Let y(x) = -x**3 - l*x - 3*x + 7*x + x**2 - 3. Calculate y(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + t**2 + 2. Let m(z) be the first derivative of -z**4\/4 + z**3\/3 + z**2\/2 + z + 63. Determine b(d) - 2*m(d).\nAnswer: 3*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6224483663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37707 is divided by 402.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15022408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 318\/4 - 71\/(-142).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of d**2*i + 4*d**2 - 14*d*i + 2*i - 389 wrt d?\nAnswer: 2*d*i + 8*d - 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1057038147 + 0.4.\nAnswer: -1057038146.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 3*m - 22, 0 = -z + 2*m + 37 - 25. Suppose 4*b = 83 + 29. Calculate the greatest common factor of b and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -11  (b) -6  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = -n - 49, -z + n - 840 = -409 - 420 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 35119 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: Convert -2533 (base 10) to base 2.\nAnswer: -100111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = 6*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**3 + 3*x**3 - 2 - 2*x - 2*x)*(-2 - 2 + 6).\nAnswer: 4*x**3 - 8*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 119486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hewywe. What is prob of picking 1 y and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 226375*p**2 + 15. Let q(u) = -2*u. Calculate m(q(r)).\nAnswer: 905500*r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*p = -122*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of -k**5\/60 + k**4\/6 + 7*k**3\/6 - 4*k**2. Let f be o(6). Which is smaller: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4 - 4) + -3 - -2) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0080847106 rounded to five decimal places?\nAnswer: -0.00808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16821 + -117746\/7. Factor 16\/7*x - q*x**2 - 64\/7.\nAnswer: -(x - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 452 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = -2*a, 67*o + 70*o + 26 = 215*o - 77*o - 6*a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 3*t + 155*b - 149*b, 0 = -2*t + 3*b + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 224204515?\nAnswer: 224204512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0*(-1)\/9)\/(-2). Let a(p) be the second derivative of -5*p + o + p**3 - 1\/12*p**4 - 3*p**2. Calculate a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of -2 - 1\/6*f**2 - 1\/36*f**4 - 1\/9*f**3 - 2*f. Let z(n) be the first derivative of y(n). Find q such that z(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.038583 rounded to 4 dps?\nAnswer: -0.0386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.274 + 0.055. Let a = -2.1282 + i. Let l = a + 1.8. What is l rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 + -77\/4. Let l = 7 + -7.1. Which is the nearest to 0.1?  (a) w  (b) l  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -5. Let a(w) = -7*w. Let i be a(v). Round i to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*i + 2*i + 103 - 64)*(1 - 1 - 2*i) to the form z*i + b + p*i**2 and give z.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/4 + 2)*(74 - 41906\/575).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -159 + 162. Let g = -5549 + 5549. Determine s so that -2\/11*s**2 + 2\/11*s**5 - 6\/11*s**4 + g*s + 0 + 6\/11*s**k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j. Let b(d) = -81*d**2 - 3*d + 8. Let g(x) = x - 2. Let t(o) = -b(o) - 3*g(o). Calculate t(k(h)).\nAnswer: 324*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -6, -0.17, -0.3, 1, -1\/239, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 250 + (-1 - -2) - 8. Suppose -162 = -25*r + 22*r. Calculate the greatest common factor of r and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 - 21.3. Put i, 0.4, -1 in descending order.\nAnswer: 0.4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -447 at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 11, -1 in descending order.\nAnswer: 11, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1539959 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.67626 or 0.31?\nAnswer: -0.67626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 14) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2\/6 - 9*z\/2 + 140\/3.\nAnswer: -(z - 8)*(z + 35)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2825\/14 + 59587\/280. Let i = -330963\/220 - -16332\/11. Let v = g + i. What is the common denominator of 46\/3 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -2200084.\nAnswer: -6600252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 53.4 times -8?\nAnswer: -427.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -3*z. Let b(q) = 22*q - 36. Give b(y(j)).\nAnswer: -66*j - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttonin. What is prob of picking 2 n, 1 t, and 1 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6231016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((1*-2)\/(-2))\/((-6)\/(-12)). Let h(i) = -2*i**2 + 6*i - 7. Let d be h(m). Calculate the least common multiple of 2 and -1 + d + 26 - 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 944126 and 0.1.\nAnswer: 944126.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 5*p + 2. Calculate m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 443840428802+43\nAnswer: 443840428845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 107600 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -19*l**3 + 6*l**2 + 5*l - 2. Let t(g) = -g**3 + g**2 + g - 1. Let k(a) = c(a) - 3*t(a). Calculate the least common multiple of k(-1) and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -9*y**2 - 5*y + 2. Let k be h(5). Let a = k - -431. Suppose -2*t + 3*d = -a, -4*d + 16 = -4. What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23984 is divided by 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.02607197332 and 0.062.\nAnswer: 0.03592802668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 - -26. Solve 4*f = l*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/4 - (-186)\/12. Solve 4*w = -0*w + k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 265223 divided by -5.\nAnswer: -265223\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 43792 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of -2\/3*n**3 + 0*n**2 + 0*n - 1. Let m(k) = -2*k. What is z(m(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/102 and (-69)\/8*(-16)\/(-72)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8772 - 214?\nAnswer: -10086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 86417, 86415, 86413, 86411?\nAnswer: 86409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnoozbonznmomzmmnuoo. Give prob of picking 1 b, 1 u, and 1 n.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/6 - 210\/(-45). What is the units digit of (z\/(-8))\/((-5)\/2680)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -2072610.\nAnswer: -621783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (z - 2*z - z)*(-467 + 356 + 342) + (4 - 2 + 0)*((0*z - 3*z + z)*(-4 + 1 + 0) - 4 + 3 + 0 + 2*z) to y*z + j and give y.\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1038 - 218 = 82*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 8099.024 millennia?\nAnswer: 8099024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + 2. Let d = 61 + -60.893. Let b = d - -2.893. Do b and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, 6, 2 in decreasing order.\nAnswer: 6, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1729697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 4573625*k + 4573007*k - 1.\nAnswer: -618*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -2*m**4\/7 - 172132*m**3\/7 - 3700750778*m**2\/7 + 17996400600*m - 153029835000 = 0.\nAnswer: -43050, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - 9*i - 19. What is l(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - -19 - (5 - 6 - 5)) + (-168 - -167)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 5140*c**2. Let t(h) = 3*h. Give f(t(k)).\nAnswer: 46260*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1004.4 - 1004.7. Sort 0.4, -0.1, p, -31.6 in ascending order.\nAnswer: -31.6, p, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 360428770 and 5.\nAnswer: 360428770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 + 39540*p - 29930936.\nAnswer: -4*(p - 9059)*(p - 826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of -1\/30*x**7 + 1\/40*x**6 + 3*x + 7\/60*x**5 + 0 - 2*x**2 + 0*x**3 + 0*x**4. Find the third derivative of n(f) wrt f.\nAnswer: -168*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 + 9*u**2 - 4*u + 9. What is the units digit of x(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/72 and -97\/42.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1439 + -1440. Suppose -39 + 12 = 3*t. Let z be (-2)\/(-9) - 34\/t. Which is the second smallest value?  (a) 0.07  (b) x  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -5*f + 67. Let h(k) be the first derivative of k**4\/4 - 10*k**3\/3 - 11*k**2\/2 - 1007. Let v be h(f). Are -1\/11 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fttt when four letters picked without replacement from ttntfttpw.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 113*-7.\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + p = -1368 + 7903, 2*y - 4350 = -4*p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -x - 19*x - 6*x - 4*x - 3 wrt x?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 3*s + 1. Let c be v(-3). Let j be 56*((-6 - c) + -1) - -5. Sort -3, j, 5 in descending order.\nAnswer: j, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(225)\/(sqrt(25)\/sqrt(5)) - sqrt(45))**2*-4*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 7*n**2 - 4*n + 6. Let w(g) = 15*g**2 - 9*g + 13. Let u(i) = -13*j(i) + 6*w(i). Factor u(b).\nAnswer: -b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.162 + -0.162. Sort m, 21, -2, 5.\nAnswer: -2, m, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 3*i**2 - 5*i - 1. Let p be y(-4). Suppose 3*b - 48 = 3*o - 0*o, -p*b - 3*o = -48. Is 780\/b - (-1)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 124935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4325 (base 6) to base 11\nAnswer: 81a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of -k**4\/12 + 3*k. Let q be 33 - ((-2)\/(-12) - (-3)\/(-18)). Let s(u) = q*u + u**2 + 33*u - 66*u. What is 2*s(h) - w(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -2\/9, 0.4, 1, -2\/33, 5011?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -12b63 (base 16) in base 15?\nAnswer: -17a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4392173 by 4392173.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-787)\/(-3) + (-1 + 6)\/(-15)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3.099  (b) -5  (c) 5  (d) 4\/3  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -2 + 6. Solve 3 = w + f*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -20*f + 5. Let r be u(14). Let w = 275 + r. Which is greater: 1\/2 or w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 = -b - 4*b - 19*h + 66*h - 21*h, 5 = 2*b + 3*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 362 and 989667818.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*u = -62 - 4. Let x(y) = -y - 1. Let c(m) = 2*m + 1. Let q(z) = u*x(z) - 2*c(z). Let t(r) = 2*r**2 + 3*r + 2. Give 3*q(b) - t(b).\nAnswer: -2*b**2 - 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 109*r**6 + 30*r**2 + r - 596 wrt r.\nAnswer: 13080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/475  (b) -0.44  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 0*c**3 + 9\/5*c**4 - 3\/5*c**2 - 6\/5*c**5 + 0*c = 0 for c.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -3*y - 12, 3*y + 7 = -3*a - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 396 - -106. Suppose 9*t - 173 = l. What is the greatest common divisor of 375 and t?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + 25*d**2 + 40*d + 24. Let j be r(-23). Let v(a) = -j*a**2 - 52*a - 40*a + 92*a. Let u(g) = -g. Determine u(v(l)).\nAnswer: 162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.2 times 5684.83?\nAnswer: -35245.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -11938, -95552, -322520, -764524, -1493246, -2580368, -4097572, -6116540?\n\"Answer: -11947*c**3 + 5*c**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -7, -14, 5 in descending order.\nAnswer: 5, 2, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 35834*l*z - 21*l + 81*z + 47771 wrt l?\nAnswer: 35834*z - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2*x**2. Let l(u) be the third derivative of -u**5\/15 + 15*u**2. Calculate c(l(b)).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1798b54 (base 12) to base 16\nAnswer: -4b3970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 0. Let k(q) = q**3 + 5*q**2 - 7*q - 8. Let n be k(p). Let f be n\/5 - 48\/(-20). Solve 0 = f*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1091 - -0.6091. Let p be 1 + 20\/14 - 2. Sort p, r, -0.1 in increasing order.\nAnswer: -0.1, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(135)\/sqrt(3))\/sqrt(9) - 3*(sqrt(5) - (sqrt(5) + 0)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lcltl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1231, -1232, -1233, -1234, -1235?\n\"Answer: -y - 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1724.1 + -1725. What is the second smallest value in -1, 2\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u - 8 = 6*u. Suppose -u*i = -2*k - 4, -k = i - 4*k. Find the second derivative of 9*l**3 + 11*l - l - 9*l**3 + 12*l**i wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of 80\/3*o**3 + 0*o**4 - 3*o**2 + 0 - 1\/120*o**6 + 7\/12*o**5 + o. Differentiate d(u) with respect to u.\nAnswer: -3*u**2 + 70*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1455\/100)\/(-3) - (-3)\/(-48)*12. Which is the nearest to 0.1?  (a) -2  (b) -5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 69 and 6795051.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 + 21. Let t(s) be the first derivative of 0*s**2 + 2*s + 9\/4*s**4 + 1 + 0*s**m. Find the first derivative of t(v) wrt v.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 98560694?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: 1 - (0 + 2) - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, v: 2, s: 2, e: 2}. What is prob of picking 1 q, 2 s, and 1 v?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -5*x + 205, -127 - 51 = -5*x - 4*d. Let y = x - 30. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -x. Let w(n) = -n**2 + 2. Let p be w(x). Find the third derivative of 0*j - p*j**6 + 0*j - 2*j**2 wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vbdhpbhhh. Give prob of sequence hh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 8*d**2 - d + 2. Suppose 4*g + 4*o = 133 + 619, -3*g - o + 556 = 0. Let c be g\/32 - 1\/(-4). Does 14 divide n(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1670 + -1633. Put 3, d, -1 in increasing order.\nAnswer: -1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 divided by -1999188.\nAnswer: 13\/666396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -447 != -548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(22)\/sqrt(2)*4.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - 1.2. Let o = 6 - 2. Suppose -2*q = -5*k + q - 15, 0 = -o*q. What is the second smallest value in k, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-b**2 + 1 - 1)*(3 - 3 + 5*b)*(17364*b - 16970*b - 7619*b) to i*b**2 + y + r*b + s*b**3 + o*b**4 and give o.\nAnswer: 36125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*g**2 + g**2 + 4*g**2 + (-g + 2*g - 3*g)*(5*g - 5*g - g) to m + o*g**2 + k*g and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -89 - -625\/7. Factor 0*q + 2\/7 - d*q**2.\nAnswer: -2*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -519, -1084, -1523, -1776, -1783?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 15*g**3 - 3*g**2 + 4*g**2 - 19 + 2*g - 4*g**2 + 5*g**2 as o + r*g + z*g**2 + v*g**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 3 + 4)*(158 + 170 + 76)*(0*h - 4*h + h) as u + d*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + m - 7, -4*m + 7 = 5*h - 26. Suppose -d + h = -1. Solve -s + d*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -215934.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 20*n**3 - 32*n**2 + 8. Let t(x) = -7*x**3 + 10*x**2 - 3. What is 4*p(q) + 11*t(q)?\nAnswer: 3*q**3 - 18*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221482 is divided by 110615.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -m + 5*m - 51, 0 = 5*y + 5*m - 55. Calculate the lowest common multiple of 1 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 6*c**2 - 8*c + 7. Let g be b(7). Suppose -v + 3 + 1 = g. Suppose 5 = v*a - 7. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 AM and 1:20 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l. Let s(r) = -68753*r**2. Determine u(s(b)).\nAnswer: 137506*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/13)*((d*d**(-1\/3))\/d)\/d)\/(d**(1\/5)\/d*d**(1\/9)) assuming d is positive.\nAnswer: d**(-467\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 + (-408)\/(-1) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 704*p*w**2 + 631*w**2 with respect to p.\nAnswer: 704*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 977, 656, 337, 20?\n\"Answer: b**2 - 324*b + 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 109, 108, 107, 106, 105, 104?\n\"Answer: -z + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1098873443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -t**3\/3 - 5*t**2 + 6*t + 1. Suppose z - 4*h + 2 = 10, -2*h = -z. Does 11 divide v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43060*p + 43062*p = 5*g - 13, 4*p + 8 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -5*k**2. Let n(w) = -3*w**2. Let d = 14 + -20. Let g(c) = 10*c**2. Let t(v) = d*g(v) - 21*n(v). Determine t(l(i)).\nAnswer: 75*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4594, 9189, 13784?\n\"Answer: 4595*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -276 * 0.07\nAnswer: -19.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1493, -6169, -13979, -24917, -38977, -56153?\n\"Answer: k**3 - 1573*k**2 + 36*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-63)\/6*8\/6. Let g be ((-6)\/(-18))\/(p\/(-6)). Let x = 6.7 - 7. Sort x, -0.4, g in decreasing order.\nAnswer: g, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12467758174 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 6*c + 2. Let i be x(-4). Let u be ((-5)\/15)\/(1\/9). Sort i, 0, u.\nAnswer: i, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1181831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -102 + 230. Suppose 0 = -8*u + w - 112. Solve -2*n + 13 = -5*c, -u*c + 0*c = -4*n + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(2\/8*24\/(-4)). Suppose -15*a + 78 = -v*a. Solve -3*b = a, -5*b + 2 = -d + 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 3*r + 2720 = 0. Suppose 3*l + 2*l = r. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r**5 + 1173*r**4 - 25788*r**3 + 145728*r**2 = 0 for r.\nAnswer: 0, 11, 12, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*c - 2*b - 4, -7*b + 3*b = -2*c + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(833) + 2*(1 + sqrt(833)) - sqrt(833)) + ((0 + sqrt(833) - sqrt(833))*-1 - sqrt(833))**2*-1.\nAnswer: -825 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 8*x + 3. Let y(i) = -17*i - 7. Suppose 0 = -2*u - 2, 3*q - 3*u + 4 = -14. Calculate q*l(b) - 3*y(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*t = -223*t - 90 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of -4\/3*u + 2\/3*u**3 + 21 + 1\/3*u**2. Determine s, given that v(s) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 189194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 499*r**3 - r + 2. Let b be w(1). Suppose 0 = 7*n + 3*n - b. Suppose -14*v + 19*v = n. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27677496 divided by 88\nAnswer: 314517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in one fifteenth of a minute?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (0 + (-1)\/(-75)*-2)\/((-534)\/(-1602))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**3\/11 - 276*y**2\/11 - 1128*y\/11 - 1136\/11 = 0 for y.\nAnswer: -2, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7*k*n**4 - 2*k*n - 25699*k + 835*n**3 wrt n.\nAnswer: -28*k*n**3 - 2*k + 2505*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j**4\/6 + 348713*j**3\/6 - 398521*j**2\/6 + 16605*j\/2 = 0. What is j?\nAnswer: 0, 1\/7, 1, 49815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-114)\/(-8))\/(15\/8)*290\/116?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8)\/(-7))\/((-1716)\/(-273)). Which is the third smallest value?  (a) -3.7  (b) 5  (c) -2  (d) 1\/3  (e) h\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/3)\/o)**(-11\/4))**(-1\/3)*(((o**(-5)\/o)\/o)\/o**(-2\/13))**(-49) assuming o is positive.\nAnswer: o**(78355\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 27963*f*r - 5286*f - 1 wrt r?\nAnswer: 27963*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47854 - 24942. List the prime factors of c.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 - -73. Suppose 8 = -v*j + 44*j. Suppose c + u = 80, 0 = 2*c + j*u - 31 - 137. Calculate the remainder when c is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3456 is divided by 3452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 8*g**2 - 2*g + 14. Let n be s(8). What are the prime factors of 5\/5*n - -126?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + -5 - sqrt(55)\/(sqrt(11) - sqrt(176))) + ((sqrt(60) - sqrt(240))*-2 + sqrt(60))\/sqrt(12).\nAnswer: -5 + 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 + 57 - (3 - -9) - -9.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**15\/v**15)\/(v**(2\/3))**(-32) assuming v is positive.\nAnswer: v**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6562*n**3 - 21*n**2 - 319*n - 2445?\nAnswer: 39372*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 9*o**3 - 2*o**3 + 4.\nAnswer: 7*o**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.0139933 or -0.05?\nAnswer: 0.0139933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1286953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**6))\/v**(-1\/7)*v\/(v*v\/(v\/(v\/(v**(-1\/4)\/v))))*v\/(v*v*v**(-3\/7)*v)*(v\/v**(-1\/2)*v)\/(v\/v**(-1))*v**(-1\/3)*v*v\/v**0 assuming v is positive.\nAnswer: v**(-631\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 1, -5, -1\/15, 0.4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 5, 0.33, 17.\nAnswer: -11, 0.33, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 20521, 40906, 61291?\n\"Answer: 20385*a + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**3 - 114*r + 0 - 36128*r**2 + 36128*r**2 - 107*r + 221*r + 0.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-80)\/(-32)*(-28)\/(-315). Solve -p*f**2 - 16\/9 + 2*f = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of 27*b**3\/2 - 149*b**2\/2 - 412*b. Differentiate w(p) with respect to p.\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(-5)*(-3)\/(-6). Let h(w) = -7*w - 33. Let r(d) = 2*d + 1. Let o(f) = -h(f) - 4*r(f). What is o(p)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -204 (base 6) in base 4?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-2)*(2 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2158928684.\nAnswer: 2, 11, 49066561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5794245.\nAnswer: 3, 5, 128761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 41 and -0.5.\nAnswer: -20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 406867 is divided by 154.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1847 or 1813?\nAnswer: 1847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 135 and 5?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 202120331311 (base 4) to base 14.\nAnswer: 12a959b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43538533*w**2 - 21527507*w - 2.\nAnswer: 87077066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-132)\/(-6) - (-2)\/2. Let x be (-4)\/(-14) - 44\/7. Let j = d + x. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 4*y + 16 = 0, 0 = 5*q - 291*y + 292*y + 19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9783 - 9779. Let g(s) = s**3 - s**2 - 9*s - 2. Determine g(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -0.03  (b) -7  (c) 277\/4  (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-19)\/((-171)\/18))\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/6)\/((-1)\/51). Differentiate -4*k**3 + f - 15 + k**3 with respect to k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 2*t + 6 = 5, 3*j - 5 = -2*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 27*s - 475. Suppose -13*l - 744 = -s*l. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a4b (base 13) to base 4.\nAnswer: -123121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from jaujrjjujjujaujjdj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25)\/50*(5 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2856*t - 25757 = 12288*t + 108438 - 28187 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*a**4 + 768 - 462*a**4 - 2*a - 231*a**4 + a wrt a?\nAnswer: -8448*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-41 - -42)\/((-11)\/(-53)) + 21\/(-21)?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of 0 + 11*s - s**3 + 0*s**2 - 1\/6*s**4. Solve c(h) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 28*x**2 + 5*x - 2. What is the smallest common multiple of s(2) and 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of -16*p**2 + 8\/7*p**3 + 0 + 1\/140*p**5 - 1\/7*p**4 + 0*p. Solve i(r) = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r. Let p(v) = 237038*v**2. What is t(p(l))?\nAnswer: -237038*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 18*h**2 - 20*h + 9. Let u be f(19). Let k be ((-6)\/u)\/(376\/(-235)). Let z = 0 - 0. What is the third smallest value in z, -4, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 0 = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 k when three letters picked without replacement from yykyyykkyyk?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 50996\/133 + 3*(-2)\/14. Let k = -380 + w. What is the lowest common multiple of k and 7\/2 + 3\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (29\/348)\/((-2)\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in -3\/4, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 374 - 369. Let j be (-1)\/2 + (-60)\/(-8) - d. Factor -1\/4*o**j - 1\/4 - 1\/2*o.\nAnswer: -(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 108275249 to the nearest integer?\nAnswer: 10406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1949, 1951, 1951, 1949, 1945, 1939, 1931?\n\"Answer: -i**2 + 5*i + 1945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 4 = -2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28091428481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + y**2 + y + 4. Let f be v(0). What is the derivative of f*q - 2 - 6*q + 4 - 3 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*p = -5*y + 1955, 0 = -4*y - 5*p + 1593. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-90*9\/(-315))\/((-2)\/(-14)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8452 is divided by 1799?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.6 + -7.4. Let u = 9.28 + y. Round u to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -241.98 + 242. Is 3 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 5 = 4*i - 1, -5*u = 20. Suppose -6*p + p + 5*o + 29995 = i, 0 = 2*o - 2. Round p to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21 - -8. Let j = -9 - n. Sort -3, -5, j in decreasing order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 5*d + 3. Let l be m(-2). Let a be 2\/(-3)*42\/l. Suppose -a*k = -47 - 17. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 3*w**2 - 5*w - 2. Suppose 2*f - 7 + 1 = 0. Calculate the remainder when f is divided by o(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -19  (b) -5\/4  (c) -1  (d) 0.2  (e) -129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - i + 15. Let o = i + -5. Let n(f) = f**2 + f + 2. Give n(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of (27898 - -89) + 24\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*d + 12*d**2 + 3*d**2 + 7*d)*(-5*d**2 + 6*d**2 - 7*d**2).\nAnswer: -90*d**4 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-2)*(-2)\/2. Suppose 0 = -2*l - l. Solve -r - 4*r + y = v, -3*v + 3 = l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + -0.5. Let i = 0 - c. Let z = 0.5 - 0. What is the nearest to 1 in z, i, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.77417 + -1252385.\nAnswer: -1252386.77417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 50\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and -21035113371738?\nAnswer: 21035113371737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5468, 5384, 5288, 5174, 5036?\n\"Answer: -q**3 - 77*q + 5546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44*(35\/(-20) - 24\/(-84)*7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2*t**3 - 7*t**2 + 45*t + 73. Is m(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4646764 (base 8) in base 11?\nAnswer: 794578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9031.288 + -9053. What is y rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 f when four letters picked without replacement from {d: 4, j: 2, f: 7}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of f**6\/6 + 2*f**5 + 35*f**4\/8 + 25*f**3\/6 + 2*f**2. Factor b(l).\nAnswer: 5*(l + 5)*(2*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*l - 157 + 125 = 0. What is the nearest to -3\/5 in 0.5, 2, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.4 - -7.4. Let j = v + -5.96. Let z = -0.54 + j. Which is the closest to 1?  (a) 0  (b) z  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 25 = -0. Let m be n\/((-15)\/(-2))*-9. Let q(r) = 23*r - 20. Let k(c) = -8*c + 7. Suppose 5*i + s = 6*s - 90, 0 = 5*s - 5. Give i*k(p) + m*q(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**5\/7 + 10*x**4\/7 - 486*x**3\/7 + 1238*x**2\/7 + 7204*x\/7 + 5472\/7 = 0. Calculate x.\nAnswer: -19, -2, -1, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15*13\/(-1560) - (1 + -6 + (-22617)\/(-3528))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.0204, 2, -0.2, -0.1, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 0*p**2 - 2*p**2 + 0*p**2. Let m(t) be the first derivative of -4*t**2 + 10290. What is m(c(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -896a54 (base 13) in base 7?\nAnswer: -36362604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -12 + 12 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14.6 - -88.4. Let y = -102.1 + p. Let s = y + -1. Sort s, 3, -1\/3 in descending order.\nAnswer: 3, s, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 - p - 7. Let n be z(4). Sort 8, n, -2 in increasing order.\nAnswer: -2, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65234 divided by -277.\nAnswer: 65234\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (3 + (3*(sqrt(19) + 0) - (sqrt(2736) + 1)))**2.\nAnswer: -36*sqrt(19) + 1547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -666, -766, -414, 390, 1646, 3354, 5514?\nAnswer: 8126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31360*d - 93957*d - 5*d**2 + 31296*d + 31301*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 4*j = -38485, 123*j - 124*j = -4*t + 153957. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -211 (base 6) to base 10\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26 - -171. Suppose -3*v - l + 67 = -124, -w = -3*v + 5*l. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1172, -1168, -1162, -1154, -1144, -1132?\nAnswer: -1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3984629240 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s**(-9)*s)\/s**(1\/8))\/((s\/(s\/(s*s*(s**(3\/13)*s)\/s*s)))\/(s\/(s**(-1\/4)*s*s))) assuming s is positive.\nAnswer: s**(-1051\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -13*y + 12*y**3 + 240 + 26*y**2 - 240 - 13*y + 14*y**3. Let r(f) = -f**2 + f. Determine -i(g) - 26*r(g).\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.64 - -93.36. Let l = 433635.870063 - 433541.87. Let d = c - l. What is d rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 305877 and 724152?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -2*b, -z + 43*b = 41*b - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/2)\/(((-36)\/(-3))\/(-216)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(5\/6)\/(d*d**14*d) assuming d is positive.\nAnswer: d**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 8, k: 1, h: 1, x: 3, w: 6}. Give prob of sequence xwqq.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 10010100010011 (base 2) in base 15?\nAnswer: 2c2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 5*s**5 - 1085*s**4 + 77745*s**3 - 1785215*s**2 - 3890170*s = 0?\nAnswer: -2, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of r**4\/4 - 32*r**3\/3 - 43*r**2\/2 + 3505*r. What is n(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 2 b when four letters picked without replacement from sbmmsmssbbcsc.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, 3, -40763, 0.7, 1.1.\nAnswer: -40763, 2\/17, 0.7, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 3*d**3 + d + 1. Let r be s(-1). Let c(v) = 4*v**2 + 2*v - 1. Let l be c(1). Suppose 2 + 3 = l*q. Sort q, r, 2.\nAnswer: r, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/1011 or 0.1?\nAnswer: 2\/1011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -78 + 79. Which is bigger: -2\/227 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -401*t + 367*t = 340 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 - 7*n + 7. Let p be o(6). Let g be 0 - (p + -3 - -1). Sort g, -2, -3 in increasing order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t = -12*t + 69. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9)\/30*(-7 + -2266). Suppose 4*p + 2712 = 4*z, 3*p + 0*z + 2035 = 2*z. Let t = p + q. What is the common denominator of -37\/18 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 - 429196*k**2 - 858380*k - 429188.\nAnswer: -4*(k + 1)**2*(k + 107297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 6584 * -0.11\nAnswer: -724.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 59886*s - 28090 wrt s.\nAnswer: 59886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -3, 3*z + 840 - 2177 = 2*s. What is the greatest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -623 times 0.3\nAnswer: -186.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32911 = 23*f - 98258. What are the prime factors of f?\nAnswer: 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-17))**(-30)*(f**14)**(16\/5) assuming f is positive.\nAnswer: f**(2774\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.03, 2, -2, 1, 4 in increasing order.\nAnswer: -2, -0.03, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 637 = -739. Suppose -o - 357 = -5*r. Suppose r = 3*m - 82. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that a**3\/3 - 2859671*a**2\/3 + 28596485*a - 214473075 = 0.\nAnswer: 15, 2859641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 731 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**2 + v**2 - 5*v**2)*(8*v + 18*v + 61*v)*(-2*v + 3*v + v).\nAnswer: -696*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 - 4*q**2 - 4*q. Let c(g) = -2*g**3 - 7*g**2 - 7*g. Let b = 199 + -195. Determine b*c(k) - 7*t(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -16*x. List the prime factors of g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 12630, 12625, 12620, 12615?\n\"Answer: -5*c + 12635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of h**5\/20 - 20*h**4\/3 + 10*h**3 + 140*h**2 + 7*h - 2. Calculate u(53).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 670?\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/3)\/((-8)\/12). Suppose 6*v = 4*v + 4. Let b = v + g. Solve w + 14 + b = -2*d, 4*d - 3*w + 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -27 - 9. Suppose -b = -2*h - 5*k + 55, -k + 26 = h. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -9*b. Let q be b\/(-1) + -29 + -1. Is (344\/10)\/((-12)\/q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6486 - -4256. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8107980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + q + 1 = 3, -12 = 4*p + 5*q. Solve p*c - 6 = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-6) - 368\/138 - -19946 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iihw when four letters picked without replacement from {w: 2, h: 4, e: 1, i: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3644 - 3633. Solve 21 = 5*z + v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 2*a - 14 = 0, 3*c + 27*a - 8*a + 1 = 17*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*w = 22*w + 52 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -212001301 (base 4) to base 9.\nAnswer: -256587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-9)\/(-12))\/((-1)\/4). Let a = u + 8. Solve -a*q = -g - 9, 3*g + 4*q + 0*q = 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 4 = 4*g, 3*g - 7*g - 4*l = -8. Suppose g*t = -t + 7299998. Let w be -1 - 3\/3 - t. Round w to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*y - 372 - 1036 = 0. Solve y*w - 13*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5.7004  (b) -2\/9  (c) 0  (d) -2\/13  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -4*t**3\/5 + 528*t**2\/5 - 1044*t\/5 + 104 = 0?\nAnswer: 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -44 and 2400.7.\nAnswer: -105630.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 PM and 1:16 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -14*z + 360. Let v(f) = -7*f - 28. Let p be v(-4). Let s be i(p). What is the highest common factor of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = -4*v - 18, 3*v + 3*c = -c - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5928077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 7*w + 0 + 2)*(-8 + 4 - 2 + (0 - 3 + 5)*(6 - 1 - 4) + 1 - 2 - 1)*(2 - 6 + 21).\nAnswer: -714*w - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 31992.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 23997 and 826?\nAnswer: 19821522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*c + 220 = 144 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llqql. Give prob of sequence qq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(4\/11))**(12\/13)*z\/(z**18\/z*z)*z**5)**44 assuming z is positive.\nAnswer: z**(-6672\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 160334653334\/93 - 1724011690. Let n = -16840 + i. Find the common denominator of n and 68\/9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p - 19. Let h = 4 + 6. Let d be b(h). Let t = 35 + d. Let j(y) = y**3 - 5*y**2 - 4*y + 1. Give j(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18592426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 18*q = 10472. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2218  (b) -5\/3  (c) -1  (d) 1  (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -50799, -101529, -152187, -202779, -253311, -303789?\n\"Answer: -y**3 + 42*y**2 - 50849*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*g + 2*g + 3*g)*(-365*g + 659*g - 408*g) + g**2 - 2*g**2 + 2*g**2 as r + o*g**2 + b*g and give o.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110*n = 107*n + 12. What is the third derivative of 7*t**2 + 8*t**n - 4*t**4 - 9*t**2 + 6*t**3 wrt t?\nAnswer: 96*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of n**3\/3 + 5*n**2 - 7*n - 1. Let k be u(-11). Factor o**3 - k*o**3 - 2*o**3 + o**3 + 2*o + 2*o**5.\nAnswer: 2*o*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2*b - 4*z = -22, 2*b + z - 10 = 0. Suppose -2*x - b*x = -190. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 0.699, 2, 0, -3\/4, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-3) - (-143)\/(-3). What is the remainder when 38 is divided by ((-20)\/12)\/(4\/h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 AM and 11:43 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -4158 and 1\/1191 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (13 - ((-6 - (-56 - 2)) + -2))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -64 + 67. Let b be (-15)\/j*(-9)\/15. Put b, 0, 17, 2 in decreasing order.\nAnswer: 17, b, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0079873 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166 = 2*s - 2*w, -3*w + 171 = 2*s + 15. Calculate the remainder when 164 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*j - 382*j**2 + 25*j + 382*j**2 + 25*j + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/3788824 and -127\/170.\nAnswer: 18944120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, e: 6}. Give prob of picking 2 e.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7, p: 11, q: 2}. What is prob of sequence pyq?\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3\/2)\/(f\/f**(-3\/8)*f))\/(f*(f\/f**(-18\/11))\/f)**(-14\/5) assuming f is positive.\nAnswer: f**(1543\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15100 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 24, 2, -18, 3.\nAnswer: -18, -4, 2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2877 = -27*t + 20*t. List the prime factors of t.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = i - 4*l - 36, -4*i = 5*l + 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34)\/8 + 9\/((-23436)\/(-23343)).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 145048?\nAnswer: 2, 18131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-9))\/(3856\/(-28920))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (2\/(-11))\/(8\/130) and (-38)\/(-228) + (-2)\/(-11).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 0, -297, -5, 5.\nAnswer: -297, -5, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -29 - ((-52 - -222) + -135).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/(6\/(-3))*(-4)\/40*-5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40 - -40.2. Sort h, -0.1, 0 in decreasing order.\nAnswer: h, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -179, -98, -3, 0 in decreasing order.\nAnswer: 0, -3, -8, -98, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 - (208 - 212) - (-20 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7\/(35\/90) + (1 - 4). Suppose 1 = -4*r - l. Let y = 0.2 + -0.7. What is the third smallest value in r, 6, y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1932 - -2950. Suppose g*v - 5 = 1017*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92*b = 123 - 399. Is -158\/73 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u - u + 3*u. Let z = -3 + 5. Let k(d) = -3*d**2 - d**2 + d**z. Calculate p(k(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 93*f**4 - 229*f**3 + 205*f**2 - 68*f - 1. Let y(s) = -46*s**4 + 114*s**3 - 102*s**2 + 34*s. Let t(w) = -4*q(w) - 9*y(w). Solve t(x) = 0.\nAnswer: 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 3*d + 9 + 13*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26324931 is divided by 2193742?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5486, 2591, -304, -3199?\n\"Answer: -2895*w + 8381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 11:09 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 78632 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((42\/5)\/3)\/(6\/450). Let v(j) = 6*j**2 - 4 + 206*j - j**3 - h*j + 3. Give v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (24\/(-20))\/(6\/(-20)). Suppose j - n = -j. Factor s**j + 4*s**4 - s**4 - 4*s**4.\nAnswer: -s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-26) + (-12166)\/12012)*17\/(51\/(-90))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 97597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 6. Suppose 4*n = 3*n + 3. Suppose -v = -n*a + 31. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32963\/10 - -3285. Find the common denominator of y and -49\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*l - 28 = 11*l. Let j be 8\/20 - 196\/(-10). Solve -5*c = -j, l*m + 3 = 5*c - 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(120\/6)*3*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r - 3*r + r)*(-r + 2*r - 3*r) - 2*r + 0*r**2 + r**2 + 2 - 4*r**2.\nAnswer: r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 321154 is divided by 321062.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 270809, 269776, 268739, 267698, 266653, 265604?\nAnswer: 264551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 38 = -4*c, 2*b - c = -6*c + 37. Suppose -7*n + 147 = b. Solve 6 + 0 = 2*s + r, 4*s - r - n = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*a + 4*a - 6 + 307 - 12*a + 37 as c + v*a and give c.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12171726139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.04509 - 0.045098074. What is y rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**2 + 322576*n + 645144 = 0. Calculate n.\nAnswer: -161286, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 354300 rounded to the nearest 1000?\nAnswer: 354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 24 - 4 = q, 3*l - 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**3 - 3*b**3 + 2*b**3)*(23 + 30 - 18).\nAnswer: -35*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/2  (b) 19  (c) -1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 - 5*y**2 - 6*y - 6. Let v be o(-4). Let h(n) = 11*n**v - 2*n + 13*n**2 - 2 - 23*n**2. What is the remainder when 23 is divided by h(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 + 5 + -7)\/((-60)\/8). Let n = 0.11 - -3.89. What is the biggest value in n, b, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 196, 391, 586, 781, 976, 1171?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21\/8 - 121\/40. Suppose -5*k + k = 2*s + 10, 3*s + 15 = 0. Let m = -0.4 + -4.6. Which is the nearest to -1?  (a) m  (b) k  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21403501?\nAnswer: 7, 23, 37, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a decade in years?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 36288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 227 + -160. Let j = o + -67. Solve 5 = -h - j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45) + 2)*5.\nAnswer: 10 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2056*p - 6 + 6 - 2.\nAnswer: -2056*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-9)\/4)\/(4*(-12)\/(-16)). Which is the nearest to x?  (a) -2\/11  (b) -4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -1 + 4044992*k**2 - 115*k + 121*k + 8965003*k**2. Let x be y(1). Round x to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/7  (b) -4  (c) -1\/9  (d) 4\/5  (e) -77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5.5 in -2, -4, 1, -2\/409?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, -0.4, -3, 1.36, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l**3 + 5*l - 6*l**2 + 4 + 0 - 2*l**3. Let s be w(4). Let a be (s\/(-10))\/((-4)\/(-10)). Solve 3*h + 4*p + 1 = a, 0 = h + 3*p - 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5 and 165570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 + 883*u + 135112. What is w(-197)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -2638323.\nAnswer: -2\/2638323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20096 divided by 5.\nAnswer: -20096\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 851502137988.7 - -0.3?\nAnswer: 851502137989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 25351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.2, -2\/27, -1\/3, 5\/14, -25, -31?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 1)*((-13)\/3 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, q: 3}. Give prob of picking 1 s and 1 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 at most 25\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1925 - 1215. Let i = 390 + x. What are the prime factors of i?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5489547102 to the power of 1\/2, to the nearest integer?\nAnswer: 74091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/7  (b) 10  (c) 0.05  (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 20 = g, -1067*g = -1070*g + 3*y + 105 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3914543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.64 rounded to 1 dp?\nAnswer: -22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 AM and 2:04 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -670 - -1598. What is the highest common factor of j and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 10:49 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from slsefiflfss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 30 - 35 + 9*t - 2*t**2 + t + 6*t. Let x be f(7). Let p = -34 - -37. Calculate the greatest common factor of p and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17.5 - -23. Let j = -34 + i. Round j to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*a + 110*a + 441*a - 30195 = -190*a for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiax when four letters picked without replacement from {y: 2, i: 3, a: 3, b: 2, r: 2, x: 6}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 AM and 10:33 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a. Let k(u) = -u**2 + 11. Let z(t) = -11. Let m(w) = -9. Let q(l) = -6*m(l) + 5*z(l). Let n(s) = 6*k(s) + 66*q(s). What is n(x(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -y**3\/3 + 5*y**2 - 12*y - 3. Let k be i(8). Let w(u) = 5 + 3*u - 8*u + 3 - k. Calculate w(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*a**2 - 45*a**2 + 13*a**2 - 30*a**2 as q*a**2 + u*a + z and give q.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -60220.7 rounded to the nearest 100?\nAnswer: -60200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 3210643 = -3*m - 11866910, -4*m - g = 11541685. Let i = m - -4070421. Round i to the nearest 10000.\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 564.2181 to 0 decimal places.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 2630.072cm?\nAnswer: 26300.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 1 - (-6 + 9) - -18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m**3 + 3*m**2 + 3*m - 3. Let j be y(-4). Let f = -12 + j. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 9:08 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 145 + -144.09. Let u = -1356 - -1355.63. Let q = b + u. Round q to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08, 0.3, 9\/4 in increasing order.\nAnswer: -0.08, 0.3, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 29*d - 9. What is the units digit of r(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2623 - 1090. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 40829 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 67396 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j = 7 + 23. Solve -2*h - 2*c = 8, h - 5*c = j*h + 21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-1 - 1 - (22 + -27)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 - 4) + 0\/(-1). Let y(l) = -l. Let g be y(i). Which is the closest to g?  (a) -3\/5  (b) -2\/5  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 8*v + 4. Let y = -10 + 10. Suppose 15 - 1 = 2*t + n, 4*t - 5*n = y. Suppose -4*r + 3*j - 22 = 0, 0 = -2*r + 4*r - t*j + 18. Calculate u(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 5385345329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 9 = -2*g, 37*g - 33*g - 32 = -4*s. Suppose t + 1 = 0, 4*v - 8 = 2*v + 2*t. Let z = v + -3. Solve s*x = 5, z*x - 11 = 3*o + x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1411757952 to the nearest integer?\nAnswer: 37573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 2*w - 45599990, -5*i + w + 34200005 = -8*i. Round i to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*y - 6927 + 47. Let i = y + 717. What is the remainder when (-1)\/1 + 117 + -1 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40 + -29 - -17) + -3.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 7)*(h - 2*h + 2*h)*(-3 + 2 + 0).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence prr when three letters picked without replacement from trhtptptahtrrth?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -5. Let a = 320 - 287. What is the highest common divisor of v and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -25871, -25851, -25807, -25727, -25599?\n\"Answer: 2*g**3 + 6*g - 25879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 5*b + 4*b = 0. Suppose -4 = -i - b*i, 140 = n - 4*i. Suppose -y + n = y + 5*m, -48 = -y + 5*m. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 3:05 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -220075, -440159, -660243, -880327, -1100411?\n\"Answer: -220084*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(-5)*-6 + 0. Let s be (18\/(-15))\/(u\/(-60)). Calculate the greatest common divisor of s and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + 32*m**2 - 33*m + 77. Let o be v(31). Solve -3*p + 12 + 6 = 3*u, 4*p - o = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 870 and 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 107405244 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 143 - 140. Let c be 2\/7 + (-66)\/(-14). Sort -3\/8, c, w in descending order.\nAnswer: c, w, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*q - 38*q + 2 = 0. Suppose -q = 2*j + 4, 5*j = -5*p + 330. Calculate the highest common factor of p and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21733, 43469, 65205, 86941, 108677, 130413?\nAnswer: 152149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25.96 + 25.9. Sort r, 1, -2\/5, -1 in decreasing order.\nAnswer: 1, r, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - (-4 + 5))*(2 + -2). Let y be (-3)\/18*(w + 12\/(-21)). Determine b, given that 2\/3 + 4\/7*b - y*b**2 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16)\/(-56)*28\/(-2 + 6). Calculate the greatest common factor of 36 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 16 = 0, -5*j - 85 = 4*z - 197. Let w = -7.8 + 8. Which is the biggest value?  (a) w  (b) 4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(441\/(-756))\/(3\/((-24)\/196))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6457038671 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1771 divided by 18\nAnswer: -1771\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.038 * 16152.\nAnswer: 16765.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -34 + 39. Let a(t) be the first derivative of -2 + 0*t**3 + 0*t + 0*t**4 + 3\/2*t**2 - 3\/5*t**b. Find the second derivative of a(u) wrt u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -541*l**3 + 228*l wrt l?\nAnswer: -3246*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-24)\/h*h*h)\/h**(-38))\/(h*h*h**33*h**(-17)) assuming h is positive.\nAnswer: h**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 352 >= 354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 4*i - 14, 2 = -h + 4*i - 9. What are the prime factors of 3\/2*((-125)\/(-1) + h)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(216)*-2)\/(sqrt(2) - sqrt(6)\/sqrt(3)*-2) - (sqrt(27) + sqrt(324)\/(-1*sqrt(12)))\/(-2*sqrt(441) + sqrt(441)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 12  (b) -4\/1591  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-15)\/18)\/((-14)\/84). Suppose 0 = -3*u + w*i + 23 - 18, -3*u - 5*i = -25. Put 16, 7, u in decreasing order.\nAnswer: 16, 7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n**3*z**2 + 50*n**3*z + 3*n*z - 178*z**4 + z wrt z.\nAnswer: 2*n**3 - 2136*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 + 0. Suppose -a - 1 = 4*l. Let u be (0 - -2)*l\/(-4). Solve -b = -0*b + u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(44))**2 + 2 - sqrt(11)) + sqrt(11) - (4 + (sqrt(11) + -1)**2)) + 0 + (-1*sqrt(1100) - 3*(sqrt(539) - sqrt(11))).\nAnswer: -26*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-17)\/(-6) + ((-61)\/(-6) - 10). Suppose -2*b + b + 2*d = -404, 0 = 5*b - 3*d - 2041. Suppose 497 = j - h*g - b, -4*j + 3*g = -3664. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6852916.\nAnswer: 2, 7, 244747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 36341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.31  (b) 64  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 16938?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 3*c - 31, -3*c + 2*c - 1 = -4*i. Let u(r) = 7 - 74*r + 29*r + 1 + 34*r + 10*r - 3. What is u(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = -4*y + 48, 80*y - 84*y + 86 = 8*i + 7*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/(y**(-1)*y))**(1\/3))**(-11))**(-10\/7))**(-27) assuming y is positive.\nAnswer: y**(-990\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/(2310\/63)*(-20)\/(-24)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 67601 by -67601.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 7912\/1978 + -2*(36 + -1)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 225 and 8425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/(m**(-2\/3)*m))\/m*m*m)\/m)**(-47)*m**(1\/6)\/(m\/(m\/(m**(2\/7)\/m))) assuming m is positive.\nAnswer: m**(-1279\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66 - (67 - (35 - 11))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 2:45 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 48, 62, 76, 90?\n\"Answer: 14*h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 51 - 50.5. Sort h, -0.1, 0.4 in ascending order.\nAnswer: -0.1, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 709, 918, 1465, 2518, 4245, 6814?\n\"Answer: 28*y**3 + y**2 + 10*y + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 356982 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ewy. Give prob of sequence ey.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 455583491 and 455583493 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 divided by 4?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b + 22. Let h be g(-6). Suppose -y + 4*y - h*a - 41 = 0, -4*y - 4*a = -8. Let p(c) = c**3 - 8*c**2 + 6*c + 8. Give p(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o**5\/7 - 6*o**4\/7 - 2*o**3\/7 + 2*o**2 - 8\/7 = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-24)\/15 - -2) + (-312)\/624. What is the smallest value in z, 5, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1770\/7965)\/(49\/6*(-28)\/(-49))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91 = 2875*a - 2888*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 206.774 - 207. Let v = 0.581 + l. Round v to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -732658000 to the nearest one million.\nAnswer: -733000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**2 + 2*k - 1. Let x be s(-2). Suppose 0*p - x*p + 66 = 0. Let j be -1*(-3 + 1 + -9). What is the greatest common factor of p and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14161 or -28319\/2?\nAnswer: -14161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 7. Suppose -2*m - o = -5*m + 15, 5*m - 25 = l*o. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90 = 5*w - 32*t + 27*t, w = -5*t - 78 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15cbc0 (base 14) to base 10.\nAnswer: -765156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/379668 and -119\/65460.\nAnswer: 1898340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(2\/(-3))\/((-7)\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 - 2)*(-738131)\/(-38) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by 1464\nAnswer: -3\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in -2\/3, -0.5, -4, -12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (113\/1356)\/(1\/(-10))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(468)*-1 + (-2 + sqrt(468)*4)**2)*3 + 4.\nAnswer: -342*sqrt(13) + 22480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1123632 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 205*g**3 - 939*g**2 + 244*g**3 + g**5 + 17412*g**4 - 17481*g**4 + 558*g = 0.\nAnswer: 0, 1, 3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*a + 3280311 + 4928161 = 2510472. What is a rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aitt when four letters picked without replacement from eiaatttteteetbi?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15971984?\nAnswer: 2, 7, 142607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(882) + -2 - (3 + sqrt(288))*-5)**2.\nAnswer: 1944*sqrt(2) + 13266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25241 and 200167?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in thirty-two fifths of a microsecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/((-1050)\/791)*((6 - 0) + -10). Is -0.1 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20653.5 and 0.06.\nAnswer: 1239.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 9*z - 1. Let a be w(-2). Let p = a + 21. Let b(k) = -3*k**2 + 0*k**p + 4*k**2 + k**2. Let l(f) = 3*f**2. Calculate b(l(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -651 - -652.65. Let q = z - 1.65000946. Round q to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-284)\/20 + (-2)\/(-10). Suppose 3*q - 13 - 7 = -a, -5*q + 4*a + 56 = 0. Let u = w + q. Round u to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 409900 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(-31)\/w)*w**(2\/29))\/((w*w**(-1\/10)*w)\/(w*w\/w**(-2\/7))) assuming w is positive.\nAnswer: w**(67913\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-10))\/(-1)*(-27)\/4914*325.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1333*k + 1349*k + 65*k**4 - 24*k**4 wrt k?\nAnswer: 492*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -13812.6 and 0.0802?\nAnswer: -1107.77052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.6?  (a) -0.3  (b) -2  (c) 0.3  (d) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 68 = 4*m, -b = -m + 3*b + 17. Let t be 2 - 3 - (-35 + 0). What is the greatest common factor of m and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 3, 4*c - 3*z - 10 = -1. Sort 11, -1, -6, c in decreasing order.\nAnswer: 11, c, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192*g + 252*g - 108*g + 19*g.\nAnswer: 355*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13874.1 + -13874. What is the third biggest value in s, -287\/2, -0.3?\nAnswer: -287\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -913?  (a) 11  (b) 1  (c) 4  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g + 4. Suppose 14 = k - 3*k. Let y = k + 2. What is the units digit of p(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1535, -6154, -13853, -24632, -38491, -55430, -75449?\n\"Answer: -1540*q**2 + q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-8) + 105\/42. Let n be (i\/5)\/((-136)\/40). What is the closest to 0.1 in 0.5, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = 2*l - 4*d - 41, 0 = 4*l - 144*d + 293*d - 146*d + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-765)\/(-150)*5\/(-6).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vivvvvvvvvivviivvvvv. What is prob of picking 2 i?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(5\/2)*w**0 assuming w is positive.\nAnswer: w**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 280602 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 110346752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 10 = 7*i. Let q = 23 + -9. Calculate the smallest common multiple of i and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - 0*g + 12. Let z = -490 - -485. Sort g, z, 5 in increasing order.\nAnswer: z, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 3596  (b) -0.1  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -366638999 plus -0.3781?\nAnswer: -366638999.3781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 10*h**2 - 10 + h**3 + 5*h + 3 - 6 + 1. Let b be s(-9). Suppose 0 = 2*y + b - 92. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h**3 + 2. Let y(x) be the first derivative of -3*x**4\/4 + 3*x + 7. Give 5*r(z) - 4*y(z).\nAnswer: 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2487 plus -91?\nAnswer: -2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2347200920 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -0.5, -2, 0.204, 3\/5?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - b - 3)*(0 + 4 + 21)*(-39*b + b - 3*b)*(0 + 0 + 1) as p*b**2 + r*b + n and give p.\nAnswer: 1025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/7, -0.1, -7, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43581.5 years to centuries.\nAnswer: 435.815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 730 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {p: 2, h: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 equal to 1112.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6683*s + 2*o + 2 = 6685*s, -3 = 2*s - o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, i: 4, m: 3}. What is prob of picking 2 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 - ((-324)\/33)\/(-4). Let n(w) = 2*w**2 + 19*w - 38. Let v be n(-11). What is the second biggest value in v, 3\/7, h, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4823 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*2\/(-2) + 6. Let w be (-3)\/q*(-4 + -1). Let i(r) = 7*r**3 - 2*r**2 + 2*r + 2. Is i(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 7, a: 4, m: 4}. Give prob of sequence omoa.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.05, 162436, 2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1103068031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000139429 to six decimal places.\nAnswer: -0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1631\/(-1960) + (-4)\/(-14). Let v = m + -1\/40. Let h be 4*(-3)\/6*1. Is h != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 0*v + 0*v)*(2 + 2 - 3) - 5*v + 4*v + 3*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from {c: 1, u: 4, i: 5, l: 1, d: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u - 5. Let w be o(5). Suppose 0*n + 4*n = w. Suppose n = 3*b - 3*k - 180, -5*b = 3*k + 53 - 313. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 99659661.6 and 128.979.\nAnswer: 99659790.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 357*c - 362*c + 60. Solve -7*l + 20 = -c*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -158.73 times -0.3\nAnswer: 47.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 73 * 19232.\nAnswer: 1403936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 4*x = 7, -3*t - 3*x + 6 = -15. Suppose -3*l + t*v = -717, 2*l = v + 746 - 266. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 79120167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7.733, 38.31, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 681*a + 1370. Calculate the least common multiple of 26 and n(-2).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/8664 and -151\/108?\nAnswer: 77976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, u: 8}. Give prob of sequence uuu.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -11*d. Let m(n) = -773878*n**2. Give m(c(p)).\nAnswer: -93639238*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 2*z - 204 = 6, 2*z + 2 = 0. Let n = 413 + c. Is n a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-210)\/112*4\/10. Which is smaller: h or 35?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 2*a + 68 - 64, 31 = 2*v + 5*a. Solve 0 - 1\/2*x**2 - v*x = 0 for x.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 144 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 - 16*j - 20. Let c be n(18). Let o = -17 + 33. What is the highest common factor of c and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.39 + -1.51. Let l = f + 2. Round l to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 660 - 1268. Which is bigger: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09 times 2.883?\nAnswer: 0.25947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3*q**2 - q - 2. Give b(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 16, -4 in increasing order.\nAnswer: -5, -4, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158 = 4*u - 482. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x - 3*x - 4 + 5*x. Let b be c(6). Differentiate b*v + 1 - 2*v**2 - 2*v wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -29  (b) 1  (c) 74  (d) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -6*p**3 - 20*p**2 + 3*p - 7. Suppose 2*l - 2*m = -18, -2 - 26 = 4*l - 2*m. What is the remainder when g(l) is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1286059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33 - 74) + 40 + -2 + 49 - 11?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-16) - (-33)\/4. Let k be 45\/(-2)*r\/5. Let a = -25 - k. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**2 - 2*y**2 - 13 + 15 + y + 8*y**3 to the form n*y + x*y**3 + b*y**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1069 = -3*v - 2. Let c = v - -732. Suppose -5*r - 213 + 54 = -2*t, 5*t - 5*r - c = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 408*h + 14 = 394*h. Sort 9, -29, h in descending order.\nAnswer: 9, h, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11203.24521 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -240 + 242. Suppose -j - 5*t + 1421 = 0, 2830 = v*j + 15*t - 17*t. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 1. Let a = -1.33 - -0.33. What is the nearest to a in 0.1, c, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 517 = 24*q - 35. Calculate the remainder when 176 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -3*f + 5*f - 40, 0 = 5*v - 2*f - 41. Find the first derivative of v + 14*z + 16*z - 28*z wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -76*w**2 + 41*w**2 + 36*w**2 + 24*w + 1 to the form g + q*w + s*w**2 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (2 - -2) + -2 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49875, 49935, 50109, 50451, 51015, 51855, 53025?\nAnswer: 54579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -2*j + 4*j - 772, 3*i + j - 577 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 2607168312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + 0 + 2 + 0. Suppose -33 + 99 = 6*f. Suppose -5*x + f = -19. Solve z = -r + w*r + x, -4*r - 20 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1, -15, -39, -71, -111, -159, -215?\n\"Answer: -4*n**2 - 4*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -56 + 444?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1115425 is divided by 922?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27221 and 12225?\nAnswer: 2041575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*w = 7*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*t + 142 = -0*t - 194 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.09937 * 5.01.\nAnswer: 0.4978437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 5 = -1. Let a(r) = -6*r**2 + 5*r - 1. Let l(s) = s**2 - s. Let b be -1 + 1 - (-8)\/4. Let q(m) = b*a(m) + 11*l(m). Determine q(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*i**2*o**6 + 8*i**2*o**3 - i**2*o**2 - 8*i**2 - 3*o wrt o?\nAnswer: 480*i**2*o**3 + 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d**2*f**3 - 1869*d**2 + 3*d*f**3 - 6*d*f**2 - 2558*f**3 wrt f.\nAnswer: 12*d**2 + 18*d - 15348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*i = 7*i. Which is the third smallest value?  (a) 2  (b) 4  (c) 5  (d) i  (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of 0*v**2 + 2*v**3 + 0*v + 0*v**4 - 2\/5*v**5 - 4. Find the third derivative of d(g) wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 42, -3, -2.2551 in ascending order.\nAnswer: -3, -2.2551, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56 + 167 - 223 + 11294*f to l*f + q and give l.\nAnswer: 11294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*f**5 + 185795*f**3 + 30578*f - 106.\nAnswer: 80*f**3 + 1114770*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.58 and 2?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 11526*k**3 + 2*k**2 + 11*k - 13. What is the tens digit of q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*((-1)\/2)\/((-2)\/(-4)). Let h be x*-3 - (-56)\/14. Let f = 1.7 + -2. Which is the nearest to h?  (a) f  (b) 0  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.64 - 0.36. Let u = -192.1 + 193. Let m = u + -1. Which is the second smallest value?  (a) 4  (b) m  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7 + (6 - (-622615)\/100). Let s = q - 6245. What is the common denominator of s and -49\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 12) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8984*s + 8988*s - 3*v - 58 + 15 = 0, v + 29 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13.77 + -7.77. What is the closest to 2 in 5\/4, b, 10?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 7:09 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*z + 51*z + 56*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 3 + 0)*(4*k + 3*k - 6*k)*(-3*k + 3*k - k) to i + l*k**2 + d*k and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = -2161*j + 2165*j + y, -3*j + 6*y - 159 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 5*p - 100 = 0, -p - 60 = -2*v - 16. Suppose 4*d - 20 - 356 = -4*a, -4*d - 119 = -a. What is the remainder when a is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 7*w = 8. Let n = -8 - w. Solve n = -3*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11101010110111 (base 2) to base 15\nAnswer: -46c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7577 - 3863 = -47*r + 3996 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 603*v**3 - 3*v**2 - 3*v - 1. Let a be h(-1). Let c = 610 + a. Solve 2*n + c = -f - 0*n, -2*n = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -a84c096?\nAnswer: a84c091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -2*b + 2, -b - 28 = -4*t + b. Solve t*g = -3 - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.53 - 1.5300005. What is f rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*c + 58*c = 22*c + 8064. Solve 3*g - 5*v + 14 = 0, 71*v = -2*g + c*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gwhw when four letters picked without replacement from {h: 4, w: 3, g: 9}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -10000101?\nAnswer: -10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1662)\/(-4) - (4 + 66\/(-12)). Let i = -145 + h. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 1, 7 in decreasing order.\nAnswer: 7, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2*q = -9. Suppose g + 2*g = -q*l + 27, -l + 4*g = -14. Suppose -12*u + 32 = -l*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1110 - 1133 - (-41 + -1 - 0)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3427 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -2*h - 4, -3*o + 4 = o + h. What is the remainder when -1 + 1 + 8\/1 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 147218151.\nAnswer: 3, 73, 672229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3220?  (a) 3  (b) -3  (c) -2  (d) -1\/2  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-13\/4)*(v*v**(-7))\/v assuming v is positive.\nAnswer: v**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 67566541 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c**3 - 3*c**3 + 3*c**3 + (0 + 0 - 2*c**3)*(1 + 3 - 2) - 24*c**3 + 8*c**3 - 23*c**2 + 30*c**2 to d + p*c + v*c**3 + i*c**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sgqgg. What is prob of sequence qggs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-56)\/(-2 - 6) + 56230 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 13*v**3 + 12*v**2 - 4*v + 75. Let x(r) = 5*r**3 + 6*r**2 - 2*r + 36. Give 2*c(s) - 5*x(s).\nAnswer: s**3 - 6*s**2 + 2*s - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.26 - -0.56. Let d = -0.4 + 4.4. Let s = 6 - d. Which is the second smallest value?  (a) -2\/3  (b) x  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the second derivative of -1\/10*f**5 + 1\/6*f**3 - 1\/4*f**4 + 5 + 5\/2*f**2 + f. Let j(d) = -2*d**3 - 2*d**2 + d + 4. What is -5*j(k) + 4*m(k)?\nAnswer: 2*k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -3*q. Let g(f) = 493476*f**2 - 29*f. Determine g(v(t)).\nAnswer: 4441284*t**2 + 87*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5195 divided by -307\nAnswer: -5195\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 78.35 - 73.35. Let s = 0.3 + -0.7. Which is the third biggest value?  (a) s  (b) n  (c) 0.4  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, c: 4, m: 7, b: 1}. What is prob of picking 2 c?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3796040*r - 3796123*r = -9960 for r.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 2*z + 350 = 0, -b - z - 705 = -3*b. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + (18 - 71) - -21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 10:21 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, 536 in ascending order.\nAnswer: -1, 1, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10.3968  (b) -1\/2  (c) -4\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than 2103417185?\nAnswer: 2103417185.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 399459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.8 + 0.2. Let z = 3 - 3.1. Let y = -0.3 - z. Which is the closest to 1?  (a) v  (b) y  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16335.202 + 16351. What is p rounded to 1 decimal place?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 116 - 121. Sort 4, -1, v in descending order.\nAnswer: 4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/3 and 43\/471.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 19143703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2 + sqrt(13) - ((4*sqrt(143))\/sqrt(11))**2) + ((sqrt(260)\/sqrt(5) + sqrt(52))*-3 - (-2 + sqrt(52) + -2))**2.\nAnswer: -111*sqrt(13) + 2362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -5*a**2 - 2*a + 5. Let k(j) = j + 91 + 71 + 88 + 90 - 342 + 2*j**2. Let u be 2\/5 + (-94)\/10. What is u*k(c) - 4*v(c)?\nAnswer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -143211516129944 - -0.02.\nAnswer: -143211516129943.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 19426.31 weeks?\nAnswer: 135984.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 74789706 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -910, -888, -852, -796, -714, -600, -448?\n\"Answer: w**3 + w**2 + 12*w - 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 194 = -2*n, 2*n = -5*i - 3*n + 220. What is the remainder when i is divided by 15\/30 + 3\/(6\/11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 177 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -17269.4 times -7.5\nAnswer: 129520.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 4*h = 40, -2*v + 3*h = -h + 12. Suppose -m - 5318 = -v*n, 2*m + 859 - 2184 = -n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 165?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 541 - 497. Suppose 51 - k = 7*b. Let x be ((-3)\/3)\/((-1)\/3). Sort b, x, 2, 5.\nAnswer: b, 2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5761*r + 5993*r = 2552 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/2 - 155\/62*(-39)\/15?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7884040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-10) + ((-1)\/(-10))\/((-913)\/(-6474))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*y + 101. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/3  (b) 0.085  (c) 0.048  (d) 430\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -33.3, 3\/2, 12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3*j**2 + 6*j - 2. Let p(b) = -8*b**2 - 19*b + 7. Determine -7*g(v) - 2*p(v).\nAnswer: -5*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2714 - -0.09.\nAnswer: 2714.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.753 + 5.37. Let y = -13024.967 + 13016. Let x = c + y. Round x to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-272)\/(-476))\/((-46)\/2093).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8070 or -7982?\nAnswer: -8070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c. Let v(y) = -60*y**2. Give q(v(d)).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 34  (b) 768\/61  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 366.724 rounded to 0 dps?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*d**2 + 5 + 2)*(0 - 3 + 1).\nAnswer: -4*d**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7949271 by -722661.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62037 = 1605*p - 18702 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 28 = 4*f, 0*t + 2*t - 4*f = -8. Suppose -t*r - r + 10 = 3*a, -2*a - 20 = -2*r. Let x(v) = -v + 2. Give x(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 264748.\nAnswer: 2, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/2*(-5 + 21). Let w be ((-6)\/4 + 1)*(-16 + o). Determine g so that -2\/7*g**5 + w*g**2 - 2\/7*g**3 + 0*g + 0 - 4\/7*g**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z - u - 27, 15407*u - 12 = 15403*u for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 AM and 10:40 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/6*-9*(-7)\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -502*g + 1671 = 55*g. Let s = -77 + 229\/3. Let x be 3*2\/(-45)*6. Which is the closest to s?  (a) g  (b) x  (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(3\/10))**(-2\/85))**(6\/11) assuming q is positive.\nAnswer: q**(-18\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -53. Let y(v) = v**3 + 34*v**2 + 136*v - 257. Let s be y(-29). Calculate the highest common divisor of i and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c, 1 m, and 1 p when four letters picked without replacement from {o: 3, c: 4, m: 1, u: 2, p: 1, n: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 5*v**2 + 7*v + 9. Let l(q) = -4*q**2 - 6*q - 9. Let b(n) = -3*h(n) - 4*l(n). Is b(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 105, -321, -1467, -3693, -7359, -12825, -20451?\nAnswer: -30597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/(-476)*(-371)\/(-106)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12\/10*(-40135)\/(-305026)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 111881 divided by -62.\nAnswer: -111881\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110000 - 1100?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2445532 to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i\/i**(-1\/2)*i)**31\/((i**(-2)\/i)\/i**(-2\/3)))\/((i**(2\/3))**16\/(i**0*i**(-1\/10)\/i)) assuming i is positive.\nAnswer: i**(1951\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -43 + (236 - (-50 + 250))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 2.3. Let l = -0.9 + 0.5. Let c = 9.5 - 5.5. What is the second smallest value in c, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i - 1. Let x(t) = -t**3 - t**2 - 6*t + 8. Suppose -5 = v - 2*v. Let g(z) = v*x(z) + 40*q(z). Solve g(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*-7)\/(103\/103).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m + 5*m**2 - 5*m**2 + 208 - 92*m - 84*m**2 - 4*m**3 - 24*m**2.\nAnswer: -4*(m - 1)*(m + 2)*(m + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 151 - 460 + 147 + 155 - 2*o.\nAnswer: -2*o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 5*d - 6 - 16 = 0, -5*k + 5*d = -30. Factor 29*r + 12 - k*r + 15*r + 15*r**2.\nAnswer: 3*(r + 2)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*o - 4070 = -29*o. List the prime factors of o.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(2\/5))**(8\/5))**(2\/55))**31 assuming i is positive.\nAnswer: i**(992\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 243\/5*h + 81\/5 + 138\/5*h**3 + 3\/5*h**5 + 33\/5*h**4 + 54*h**2 = 0. What is h?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, b: 1, n: 2, i: 3, x: 3}. What is prob of sequence bxi?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 26.164?\nAnswer: -10.4656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 120 + -122102?\nAnswer: -121322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (5 + -47)*31\/62. What is the fifth biggest value in -5, t, -3\/8, -0.8, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of r**4\/12 + r**3\/6 + 11*r**2\/2 - 22*r. Let h = 0 + 0. Give l(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6\/25, -2, 0, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -935 minus -2.6?\nAnswer: -932.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z**2. Let k(u) be the first derivative of -3*u**2 - 6. Calculate k(s(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 7*d - 18. Let q be j(3). Let w be (-4 - (q - -2))*2\/(-6). Sort -2, -1, w in ascending order.\nAnswer: -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + 3*q + 10. What is c(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1094 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -2  (c) 0.3  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1210)\/(-847)*(-168)\/216.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 79*v**2 - 21*v. List the prime factors of x(2).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 7*k - 20. Find the first derivative of -8 + k*o - 8*o - 6 - o wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75957973 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + sqrt(99) + -1 - (sqrt(99) - (sqrt(99) + 5 + 1*sqrt(99)))) + -3.\nAnswer: -30*sqrt(11) - 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, p: 5}. Give prob of sequence ppb.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -43 - 10*i - 49 - 106 - 47 + 347. What is m(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (16\/(-10))\/(6*(-5)\/1275)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*m**2 - 16084*m - 126817 wrt m.\nAnswer: 14*m - 16084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -8*o + 5*o + o + o + 5. Suppose 0 = -0*p + 3*p - 12. Determine t(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30645519 equal to 30645519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*o - 27 = -4*k, 2*o - 2*k = 0. Let p be (-5)\/30*o*(-8)\/(-1). Put p, -25, 0, 5 in increasing order.\nAnswer: -25, p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 448 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 13154842 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/276, 0.1, 3483?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 122292 and 1908.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes before 2:28 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (12 - 15 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (-6 - (5 + (11 - 2 - 13)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z**2 + 10*z + 63. What is o(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2951434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10\/3 in -5, -2\/11, 3, 115, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 37.4 + -36. Let m = -14.4 + q. Sort 1\/2, m, 0.3.\nAnswer: m, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*w + 13*w - 31*w = -1088*s + 1086*s + 8, -4*s - 3*w = -2*s + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01178051137 to four dps.\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of a**8\/1680 - 2*a**4\/3 - 7*a**3\/6 + 10*a. Let f(u) be the second derivative of b(u). Find the first derivative of f(p) wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 125651*13\nAnswer: 1633463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.38  (b) -2\/3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (126764\/(-344))\/(-737)*274*-1.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(21)*-1 + sqrt(21))\/(4*sqrt(448)).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -16194 at least -242929\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (16\/(-1))\/(-2 - -3). Let y(a) = -16 - 57*a**2 - 17*a + 0*a + 56*a**2. Let v be y(b). Solve 2*l = 5*q + 31, 2*q + 3*q + 5*l + 10 = v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -682*c**3 - 88*c + 88. Let a(p) = -104*p + 629. Let b be a(6). Let z(f) = -39*f**3 - 5*f + 5. What is b*s(h) - 88*z(h)?\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, b: 2, y: 2}. What is prob of picking 1 j, 1 y, and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 34 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + x - 45 - 40 = 0, -4*n = -3*x - 81. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 33*b**2 + 8*b - 8. Let c(t) = -22*t**2 - 5*t + 5. Suppose -25*a = -49*a + 192. Calculate a*c(y) + 5*i(y).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -160, -226, -332, -472, -640, -830?\nAnswer: -1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 AM and 5:15 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74562911.\nAnswer: 157, 474923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1 + sqrt(19) + ((sqrt(19) + 2)*-3)**2 + ((sqrt(2736) + 1 + 2 - sqrt(2736)) + sqrt(2736))**2 + 0.\nAnswer: 109*sqrt(19) + 2952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5620d (base 14) in base 9?\nAnswer: -347555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 0.2  (c) -70.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/(-72)*(4368\/980)\/(-39).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 810 is divided by 433?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.7203 - 4.\nAnswer: -3.2797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -11  (b) 0  (c) -3  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-9)\/d)\/d**(1\/4) assuming d is positive.\nAnswer: d**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2, 28, 100, 242, 478, 832, 1328, 1990?\n\"Answer: 4*x**3 - x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13491799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 + 9*k**2 - 5*k + 9. Suppose -14 = -4*j - 42. Let u be f(j). Let v = u + -95. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3150 and 648.\nAnswer: 113400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -11*a**5\/6 - 40573*a**4\/2 + 221353*a**3\/3 - 298847*a**2\/3 + 118067*a\/2 - 77483\/6 = 0. Calculate a.\nAnswer: -11069, 7\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y**2 - y - 38 - 41 + 0*y + 125 - 45. Let n(s) = 65*s**2 - 7*s - 102. Let m(d) = n(d) - 5*q(d). What is the second derivative of m(u) wrt u?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 4 - 2 + 5226*v.\nAnswer: 5226*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 422504?\nAnswer: 2, 52813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 11:20 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 184*y. Let k(b) = 92*b. Determine -4*d(l) + 9*k(l).\nAnswer: 92*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 5*h = -125. Let k = -16 - h. Let u be (-4)\/k*(-1)\/(-4). What is the closest to -1 in -1, u, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5733610706?\nAnswer: 2, 17, 23, 29, 252827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1656 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -98, -471, -1100, -1985, -3126, -4523, -6176?\nAnswer: -8085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/2135 and 57\/14762.\nAnswer: 516670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -597b (base 13) to base 2\nAnswer: -11000101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 - 5*p + 3. Let z be a(2). Let h = 20 + z. Let y be 6\/(-2) - (-1 - h). Solve -3*n - y = -0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*l + 463 = 3*l, 2*l = -z + 231. Let i = z - 214. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 7)*(-7 + 0 - 3)*(-4*c**2 - c**2 + 2*c**2).\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5\/4 + 0*x - 5\/4*x**2.\nAnswer: -5*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308*o + 2371 = 6067 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6151154 months in decades?\nAnswer: 0.013459295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.20876 nanograms to tonnes.\nAnswer: 0.00000000000001720876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -9, -6, -2\/13, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 52157.72 centuries in millennia?\nAnswer: 5215.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*q - 1229*q**2 + 625*q**2 - 2*q - 9*q**3 + 624*q**2 in the form u*q + v*q**2 + h*q**3 + o and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - 42*z + 231. Determine r(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 416 is divided by 408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*v**4 + 14*v**3 + 4*v**2 + 48*v + 49.\nAnswer: 36*v**2 + 84*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2, 65, 236, 569, 1118, 1937, 3080?\n\"Answer: 9*q**3 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.4  (b) 0.07  (c) -1  (d) -1.36  (e) 4\/7  (f) 5  (g) 229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 267372 divided by -9.\nAnswer: -29708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*c - 21*c + 1792. Let v = c - 260. Suppose -4*z + v = -0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5791 is divided by 116.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 15) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of -w**4\/18 + 28*w**3\/9 + 133*w**2\/9 + 20*w - 1960. Factor g(t).\nAnswer: -2*(t - 45)*(t + 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -234, -544, -1062, -1788, -2722, -3864?\n\"Answer: -104*m**2 + 2*m - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 10:03 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39188695.\nAnswer: 5, 7, 13, 43, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -69*c**2 + 246*c**2 + 486*c**2 + (1 + 2 - 6)*(-1 + 2 + 1)*(-c**2 + c**2 - c**2).\nAnswer: 669*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 819642 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, o: 1, f: 5, z: 3}. What is prob of picking 1 z and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1954585 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1101, -5, -666, 4 in decreasing order.\nAnswer: 4, -5, -666, -1101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1458) - (2*sqrt(72))**2.\nAnswer: -288 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1800\/(-850) + (-7)\/34*68\/(-119)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 198 or 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-6)\/(-45))\/(26\/65))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1584?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4461.6 - -5117. Let f = -655 + u. Sort f, 11, -3.\nAnswer: -3, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3\/4, -0.5, 0.01, 0.35, -3507?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 14*d + 2. Let n(x) = 159 + x - 178 - 8*x. Calculate the remainder when v(2) is divided by n(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b + 261 - 873 = 0. Suppose -2569 = b*j - 103*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17380832 by -20024.\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(396) + -1*sqrt(396))*4 + 3)*-2.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -103316947\/66 - -1565447. Let t = h + -229\/6. Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 smaller than 224\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21671264.\nAnswer: 2, 677227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -86243 and 436.633?\nAnswer: 86679.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - 5. Let r = -10 - -13. Suppose 0 = r*q + q. Which is the closest to q?  (a) 1  (b) j  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2117 + -2?\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1888859.385 milliseconds to weeks.\nAnswer: 0.0031231140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(17) + 2)*-2)**2 - ((2 + sqrt(17) + sqrt(17) + 2)*6)**2.\nAnswer: -2856 - 536*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 6. What is the units digit of (-6)\/(-24) - (-231)\/v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 + 8*r**2 - 9*r**2 + 2*r**2 to g*r + i*r**2 + p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -240*p**3 - 237*p wrt p?\nAnswer: -1440*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -308587.7059 + -0.3974?\nAnswer: -308588.1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 899586 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1070*d - 2592 = -492*d + 35950 - 2706 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-230164)\/298167)\/((-4)\/114)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 - 34*w**2 + 53*w + 393. Calculate l(7).\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 4*x = 12, f - 4*x = -f - 28. Let s be 4\/(-10) - 24\/f. Is (1464 + s)*1\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 64, 97, 80, -11, -200?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by -23921\nAnswer: -9\/23921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/((-2)\/(-8) + (-42)\/72). Let c(y) = -2*y**2 - w*y + 36 + y**2 + 2*y**2 - 34. Calculate c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157*(12\/2 - 5) is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40352 and 264576.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.06?  (a) -3\/2  (b) 1\/4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.125 times -0.05?\nAnswer: -0.00625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 288 divide 2107466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(49)\/sqrt(63)*5)**2 - (2*sqrt(5040))\/sqrt(5).\nAnswer: -24*sqrt(7) + 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -160, -161, -186, -247, -356?\n\"Answer: -2*i**3 + 13*i - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 19 - (-6)\/(-2) - (1241 + -1223). Let z(c) = c**2 - 3*c**2 - 4*c + c**2 - 4. What is z(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31\/33 + 14\/11. Let g = -0.07 - 0.13. Let q = 0.27 + -0.07. Which is the second biggest value?  (a) q  (b) g  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.037 - -0.763. Let r = q - 1. What is the fourth biggest value in 0.2, r, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, 3.04, 176, 4, -5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 694 and 17838229?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 625698 is divided by 24064.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 294*x - 461*x - 189*x = 883*x - 45843 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 481 + -193. Let h = z + -278. Solve -8*l + 30 = -h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 4*x**3 + 5*x. Let m(i) = i**3 + i. Determine -20*m(w) + 4*r(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, m: 5, s: 1, i: 1}. What is prob of sequence ysy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llsx when four letters picked without replacement from {s: 12, l: 4, o: 3, x: 1}?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*u + w, 5*u - 30 = 2*w + 3*w. Suppose -51 = j - 5*q, -29 = -3*j + 186*q - 185*q. Solve -r + j = u*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119955 is divided by 465?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h + 8. Let t be b(-5). Suppose 28 - 113 = -t*v + 2*u, -100 = -4*v - 4*u. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-15)\/(-1)*-1*-7. Let d = w + -106. Let o(k) = -k**3 - k**2 - 2*k - 2. Let g be o(d). Is -2\/29 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -15 - (-16 - (-13 + 0)) - 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000800107877 rounded to six decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1025648 and 12?\nAnswer: 3076944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 4*w**2 - 6954*w - 13916. Give s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z - 1. Let b(c) = -c**3 - 9*c**2 + 6*c + 12. Let t(y) = -b(y) - x(y). Calculate the remainder when t(-9) is divided by ((-1)\/(-2))\/(1\/36).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 58*w**3 + 5 - 53*w**3 - 84*w**2 + 79*w**2. Let r(a) = 9*a**3 - 9*a**2 + 10. Give -3*r(f) + 5*s(f).\nAnswer: -2*f**3 + 2*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13946 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 72.72 + -73. Let g = 0.08 + m. Put 0, 4\/3, g in decreasing order.\nAnswer: 4\/3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 0.012.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i. Let h be u(2). Let o(n) = n**3 + 3*n**2 + 2*n + 3. Let x be o(h). Suppose -5*a = -x*a - 10. Solve d = a*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 6350*j - 1 = 6348*j, -4*j - 3 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -88*g**3*w**3 + g**3*w**2 - 4*g**3 - 3*g**2*w + 6*g**2 - 3*g*w**3 wrt w.\nAnswer: -528*g**3*w + 2*g**3 - 18*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -40 (base 6) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -541 = 5*d - q - 202, d + 73 = -5*q. Let a = d - -175. What are the prime factors of a?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 89 - -6. Let z = 47 - -29. Calculate the greatest common factor of z and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 15410784508\nAnswer: -15410784507.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b287d (base 14) in base 12?\nAnswer: -607213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**3 + 45*a**2 - 330*a + 280.\nAnswer: 5*(a - 4)*(a - 1)*(a + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t + 0*t + 2*t + (t - 4*t + t)*(1 + 3 - 5) + t - 4*t + 5*t + (1 + 0 + 0)*(-4 + t + 4) - 7*t + t + 2*t to k*t + p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000025284994 to seven dps.\nAnswer: 0.0000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - (-3)\/6)*(1 - -2). What is the closest to s in 1, 2\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 736 a factor of 63697120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -590113 and -7900.\nAnswer: -598013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -3501110?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 9:15 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -999\/155 - -9\/62. Calculate the common denominator of h and -49\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 38 + 492 - 4*x - 4*x - 58 - 1630 as y + d*x and give y.\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22118 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 488 - 922. Let z be ((-4)\/i)\/((-32)\/38888). Let d = z - -128\/31. What is the common denominator of d and -73\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 2 = 7*p. Let r be (552\/(-16))\/(p\/(-16)). Let x be (-4)\/(-5) + r\/(-270). What is the third biggest value in -5, -0.2, 1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**2 - k - 4. Let i = -2 - -4. Suppose -i*n = -7*n. Calculate u(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 12217*n + 1026232. What is c(-84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 105\/(-2800)*(448\/42)\/16?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -99 divided by 1?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -413, -20, 0.55 in descending order.\nAnswer: 0.55, -20, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 59 + 13. Is 18 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 (base 12) in base 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3848 is divided by 1149?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -2*s**2 - s + 6. Let f be j(-6). Suppose -v = 3*a - 5, 0 = 5*v + a - 10 - 1. What is the remainder when f\/(-14) + (-6)\/21 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1652131?\nAnswer: 13, 167, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -246295, -492592, -738889?\n\"Answer: -246297*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -755 - -812. Which is the fourth biggest value?  (a) -1  (b) -2\/11  (c) g  (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 2*b + 34 = 0, 2*b = -6*j + 30 - 36 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2*u = 24, 4*l + 3*u - 66 + 23 = 0. Let n = 47 - l. Calculate the highest common divisor of 60 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -o*s**3*z**2 - 11848*o*s**3 - 2496*o*s*z**2 - 3*o*s wrt z?\nAnswer: -2*o*s**3*z - 4992*o*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -42*u**5 + 60*u**3 - u**2 - 3*u + 7254?\nAnswer: -840*u**3 + 360*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 - 5*f**2 + 3*f - 4. Let c be t(-4). Let d be 2 + (-7)\/(14\/c). Calculate the remainder when 986\/d + 14\/63 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5208 - 5208. What is the smallest value in 0.2, d, 49, 0.3, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12078 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000010212011 + -10?\nAnswer: 1000010212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -14, -3, 45, 0 in descending order.\nAnswer: 45, 0, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00012344519 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*r = -36*r. Put 2, -5, r, 5 in descending order.\nAnswer: 5, 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 112 - -202?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 20, 2*o - 29 = l - 4. Calculate the remainder when 18 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -49105654 + 10863.3.\nAnswer: -49094790.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 325301689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -n. Let s be 0 - ((-3 - n) + -32). Suppose 3*y = s - 2. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4991 + 5.\nAnswer: 5.4991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*b**4*i - 5*b**3*i + 452*i wrt b?\nAnswer: -40*b**3*i - 15*b**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 0*g + 3 = -3*g, g = -5*w + 15. Is (8 - 430)*(-2)\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1102*m + 1105*m - 25 = 5*q, 0 = 3*q + 3*m + 15. Put -30, -2, -23, q in decreasing order.\nAnswer: -2, q, -23, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 217*u**2 + 29*u - 200. What is the remainder when l(3) is divided by 361?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2265658642 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*o + 76*o = 2*x - 67, -12*o = 2*x - 106 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1.6, 2, 8042?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15.916 - 16. Let s = j - -0.083999821. Round s to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 306?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 21148 times 5?\nAnswer: 105740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -35*k + 356. Determine z(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138*b - 132*b - 180 = 0. What is the remainder when b is divided by (-15 - -16)*(8 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-992*r + 99*r - 377*r + (-3 + 7 - 2)*(2*r - 2*r - r))*(1 + 0 + 1)*(5*r + 3*r - 4*r) to the form l*r + h*r**2 + p and give h.\nAnswer: -10176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 4, 0, -4, -5112?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 416, 744, 934, 986, 900, 676?\n\"Answer: -69*h**2 + 535*h - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, t: 3, e: 1, h: 13}. What is prob of picking 1 v and 2 h?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5 - 73)\/(5\/(-20)). Let o = 1562\/5 - w. Factor o - 4\/5*b**3 - 4\/5*b**2 + 2\/5*b**5 + 2\/5*b + 2\/5*b**4.\nAnswer: 2*(b - 1)**2*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3\/8 + 5553*c**2\/4 + 55605*c\/8.\nAnswer: -3*c*(c - 3707)*(c + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-1\/10))\/(s\/(s**(-1\/2)\/s))*(s*s*s*s**(2\/13)*s)\/s*s**(-2\/11))**(-32\/9) assuming s is positive.\nAnswer: s**(-3488\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 166800 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3452 * -0.161.\nAnswer: -0.0555772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 626 divide 14585800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.1620465 - 743.346?\nAnswer: -739.1839535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q - 6*q**3 + 2 - 235*q**2 + 109*q**2 - 3 + 11*q**4 + 124*q**2 to f*q**4 + s*q + h + r*q**2 + z*q**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -2*(sqrt(405)*-2*-5 + sqrt(405) + 1 + 0)**2.\nAnswer: -98008 - 396*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-38)\/((-39520)\/52)*44.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 66580040 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n + 43. Give i(-16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8413 - -8404. Sort -1\/7, p, -2.\nAnswer: p, -2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = a - 11, -4*d = -a + 23 - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c - 24 = 48 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -1810.\nAnswer: 1\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (570\/4)\/5 - (-1)\/(-2). Let a be 1 + 82\/4 + q\/56. What is the greatest common factor of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f**3 - 22*f**2 + 12*f + 11. Is 36 a factor of l(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 1381664 + 61336. What is d rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 4 = -0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 55?  (a) -2  (b) 0.06  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5 - 4 + 4 + 3 + 4*h**3 wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-17)\/51 - 32\/(-6). Let c(m) = -m**2 + 3*m + 2. Determine c(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 104052454 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -72a582 - -29?\nAnswer: -72a555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 115*r - 626 = 0, 7*u - 5*u - r + 115 - 154 = 0 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j - 21. Let p be v(11). Let z be (p\/2)\/((-4)\/784). Let x = 137 + z. Calculate the remainder when x is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x**2 - 13*x**2 - 10*x**2 + (0 - 2 + 0)*(x**2 + 3 - 3) - 84*x**2 - 105*x**2 + 54*x**2 as d*x**2 + q + z*x and give d.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 5*d. Suppose -u - f + 10 = d, u + 5*f = 5*u - 49. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.09*-0.412\nAnswer: 0.03708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 9 - 4. Let g be 2\/(u - 28\/26). Let h = 37 + g. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1728*n + 1724*n + 4566 = -2*j, -2*j - 1134 = -n. Calculate the greatest common divisor of n and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -100 + 99.9. Which is the closest to u?  (a) -0.1  (b) 4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/3 + 57084\/(-52632). Let z = u - 45\/86. What is the biggest value in -5, z, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11056037*0.3\nAnswer: 3316811.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(3\/2))**19\/(q*q**2)**(1\/32) assuming q is positive.\nAnswer: q**(909\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 95010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 20*f**2 - 24*f**2 + f + 67*f**2 - 26*f**2 to r + x*f + v*f**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 0.5  (c) -42394  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v + v - v)*(0 - 4 + 0) + (4*v - 5*v - v)*(32 - 71 - 16) - 7*v + 2*v + 3*v + 2*v - v - 3*v + (2*v + 0*v - v)*(2 - 2 - 2).\nAnswer: 100*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -624 - -1279. What are the prime factors of w?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 856\/(-20330) - 8211\/3990?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (135\/(-4))\/(120\/(-576)). What is the greatest common divisor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 7. Let v = o + 8. Let z = 4 - 8. What is the third smallest value in z, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 - -2 - -6) + -2. Let f be ((-122)\/(-10) - 5)\/(u\/5). Suppose -3*h + 13 = x, -3*x + 2*x = 4*h - f. Solve 5*o - h + 15 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5453931 and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2991, -3003, -3025, -3063, -3123, -3211, -3333?\n\"Answer: -h**3 + h**2 - 8*h - 2983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18267483 and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31 by 36.\nAnswer: 31\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.004 + 0.496. Let c = z - -1.5. Sort 2\/7, 5, c, -3\/8 in decreasing order.\nAnswer: 5, c, 2\/7, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/((-6)\/2)*0. Let g be (-3)\/8 + (-2)\/(-8). Is g <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 33, 43, 57, 75, 97, 123?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 - 6*q + 5. Let j be p(6). Let b = 4 + -2. Suppose 5*f = -s + 9, -b*s + 2*f + j + 1 = 0. What is the remainder when 10 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 451827 is divided by 64544.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {y: 6, q: 4, a: 4, h: 4}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3212, 4961, 6722, 8501, 10304, 12137, 14006, 15917?\nAnswer: 17876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -155 or -190?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 70f (base 16) to base 7\nAnswer: 5161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2))**(-17\/3)*(x**2\/x*x)\/(x\/x**1) assuming x is positive.\nAnswer: x**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 + p + 8. Suppose 0 = 7*a + 31 - 10. Let x be g(a). Let c(t) = -6*t**2 + 2*t + 3. Let r(u) = -u**2 + 1. What is x*r(y) + c(y)?\nAnswer: -2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 461*j - 33. Let w be x(-2). Let s = 1034 + w. What is the remainder when s is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23 - -34. Calculate the greatest common divisor of g and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -3*v**5\/5 - 3*v**4\/4 + 2*v**3 - 3. Factor m(y).\nAnswer: -3*y**2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - (-1)\/((-4)\/4 - -2). Suppose r = -w - 46 + 55. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6de (base 16) to base 15.\nAnswer: 7c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -6*h + 8*h**2 + 3*h**2 - 23*h**2 - h**3 + 5*h**2 + 5. Let j be v(-6). Solve b + 4 + 0 = a, 2*b + 15 = -j*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c + 1. Let r be z(2). Suppose -8 = -r*t + 7. Suppose 4*l + 0*m = -3*m - 15, -25 = -l + t*m. Solve -5 = 3*j + 4*d, -10 + l = 5*d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18101 * -0.37\nAnswer: 6697.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 525\/4 - 132. Let c(z) = -z**3 + 5*z**2 - 7*z. Let r be c(3). Put -1\/3, m, r in increasing order.\nAnswer: r, m, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j**3 - 7*j**2 + 10*j + 16 = 0 for j.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39469 and 195062603.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + 2*h)*(-2*h + 0*h + 0*h)*(4*h + 0*h + 0*h) in the form r*h**2 + z*h**3 + t*h + d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fet when three letters picked without replacement from {f: 1, e: 4, t: 9}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 130 and 7\/(-14)*(2 - 28).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -400*c + 198*c - 802*c**2 - 788*c**3 + 802*c**2 + 202*c.\nAnswer: -788*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -320003 - 2?\nAnswer: -320011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-40)*(400\/(-15))\/(-10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*p + 8 = -36*p - 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1183 divided by -457.\nAnswer: 1183\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.004+1910617\nAnswer: 1910617.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-159)\/265)\/((-4)\/5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1220600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 96622, 96627, 96642, 96673, 96726, 96807, 96922, 97077?\nAnswer: 97278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(60\/7)*-5*(-8)\/32*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 951 divide 5202921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kz when two letters picked without replacement from zzzzzzzzkkzz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 179155711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 11:57 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/12*36*(-4)\/(-36)*15?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 0.779032  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -0*a. Sort a, 4, 5 in descending order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 195190 is divided by 3098.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = -15, -q + 23 = 136*f - 140*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -187401 or -187403?\nAnswer: -187403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -550*c + 788. What are the prime factors of j(-43)?\nAnswer: 2, 3, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of -9*m**5\/140 - m**4\/4 - m**3\/7 + 19*m. Factor g(x).\nAnswer: -3*x*(x + 2)*(3*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-31 - (-35 + 17)) + (42 - 15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -552947, -552944, -552929, -552896, -552839, -552752, -552629?\nAnswer: -552464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**2 - 189*v + 157800.\nAnswer: -3*(v - 200)*(v + 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - g - 8 = -2*o, 2*o = 5*g + 8. Suppose 2*n + 2*z - 14 = 4*z, 0 = -2*n - 3*z + o. Solve -4*j = -n*y - 12, -4*y + 12 = -0*j + 4*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-3\/5))\/(w\/(w**5\/w))*w**6\/(w\/(w\/(w*w**1))) assuming w is positive.\nAnswer: w**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 274 = -2*k + 2*t, 4*k - 4*t - 536 = 0. Suppose -5*a + 1742 = 9*a + 12*a. Calculate the remainder when k is divided by a.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -5, 2\/3 in descending order.\nAnswer: 11, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18982112.\nAnswer: 2, 281, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 2 - 1 = 0. Let c be 2\/4 - 22\/28. What is the nearest to -1 in k, -5, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**4\/5 + 4*v**3 - 886*v**2\/5 - 936*v + 109512\/5.\nAnswer: 2*(v - 13)**2*(v + 18)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.069232 and 21?\nAnswer: 1.453872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-27)\/(-4) + (-1)\/(-4). Suppose -d - p = 26. What is the units digit of (-4)\/(-14) + d\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*r**2 + 2*r**2 + 2*r**2 - 2 + 3*r**2 + 2 + (-3*r**2 - 2*r**2 + 4*r**2)*(1 - 2 + 0) + 5 + 2*r**2 - 5 as h*r + a*r**2 + s and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i - 43. Let q(t) = 6*t + 21. Let m be q(-6). Let k be o(m). Which is the second biggest value?  (a) -3\/8  (b) 5  (c) k  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -85 + 0 - (-5 - -6). Is 25 a factor of (-3 + 6 - q)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 77 + -119. Let n be (2 - -1)*(-4)\/k. Let z = -10.2 - -10. Sort n, z, -0.3.\nAnswer: -0.3, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + 35*o**2 - 1132*o - 38690. What is r(-38)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 10 - 8*r**2 - 4*r + 8*r**2 - r**2 + r. What is the remainder when 16 is divided by o(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 - 7*t + 8. Let i be p(10). Let v be 1 - 1 - (-17)\/1. Let r = i - v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 376123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 70051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/22, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 45.1 - 46. Let t = x - -0.6. Let q = 64 + -62. What is the closest to q in -1, 1\/3, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j**2 - 5*j**2 + 2*j**2 + (-1 - 1 + 4)*(0*j**2 + 3*j**2 - 4*j**2) + 3*j - 3*j + 17*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(4*(-2 + sqrt(704))*4 - (2 + sqrt(704) + -3)*5).\nAnswer: -27 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*t + 5*t - 26*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -760, 0, -7.\nAnswer: -760, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1534233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -4, 3, 9, 38, -1 in decreasing order.\nAnswer: 38, 9, 3, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {q: 4, r: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77)*-3 + sqrt(77))*-5*6)\/(sqrt(567)\/sqrt(9) - -6*sqrt(28)))**2*-1.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h + 3*r - 6, -2*h - 31*r = -30*r - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven eighths of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, o: 2, z: 2, p: 6}. Give prob of picking 2 p and 1 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*v - 8*v - 12*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14424 or 0?\nAnswer: 14424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, s: 1, b: 2, q: 1}. What is prob of picking 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -5.36  (b) 3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 94004 in 1\/4, -0.4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.19 and -29.\nAnswer: -28.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/470872 and 77\/43108?\nAnswer: 6121336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 <= 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6869 - -6868.8. Which is the closest to i?  (a) 1\/4  (b) -633  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v**3 - 8*v**2 - 3*v + 6. Let w be j(-4). Suppose w*t - 1 + 1 = 0. Solve t*f = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10256119.\nAnswer: 379, 27061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 14077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4*((-348)\/(-72))\/29*(-36 - -3). Let n(p) = p**3 - 6*p**2 + 4*p + 1. Let h be n(4). Which is bigger: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133 is divided by 64?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -47, -74, -103?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.009  (b) -1.6  (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -5  (b) -0.6  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 1 = 19. Let s be u\/10*(8 - 6). Put 4, 5\/4, s in ascending order.\nAnswer: s, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + x**2 - x - 3. Let a be p(0). Suppose 8*k + 10 = 2. Is a greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/7  (b) 0.682  (c) 34393\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the third derivative of -q**6\/120 - 2*q**5\/15 - q**4\/6 + 5*q**3\/3 + 27*q**2. What is f(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 1017562656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 275370 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73043?\nAnswer: 73043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 471727544?\nAnswer: 2, 43, 1371301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55696*j**2 + 72318660*j - 93902409225\/4 = 0 for j.\nAnswer: 306435\/472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 936*b + 8. What is the thousands digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -165 take away 0.195299?\nAnswer: -165.195299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/(-200))\/(6049\/(-9205))?\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -2, 2, -1, 49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 498 and 6.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 248312 - 6*x - 4*x + 2*x + 4*x**2.\nAnswer: 4*x**2 - 8*x + 248312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.11  (b) 1  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-8)*(3 - 119\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101010101 (base 2) to base 7.\nAnswer: -665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 20 and 42504\/2117 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16157?\nAnswer: 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 154830 rounded to the nearest 1000?\nAnswer: 155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of -w**4 - 17\/20*w**5 - 2*w + 0 + 2\/3*w**3 + 5\/2*w**6 + 0*w**2 - 25\/21*w**7. Determine y so that q(y) = 0.\nAnswer: -2\/5, 0, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 451, 928, 1439, 2002, 2635, 3356, 4183, 5134?\nAnswer: 6227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-13 + (-973)\/(-70))\/(777\/140)\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 1) + (-57)\/21 + 3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f + 2799 + 501 = 0. Let m = f + 757. Calculate the highest common divisor of 46 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -4. Let n(r) = -r**3 + 8*r**2 + 20*r + 2. Let q be n(10). Suppose 0 = -2*w + q + z. Solve w*d = i + 2, -i + 9 = 5*d - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1122897718 to the nearest integer?\nAnswer: 33510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -5 - 7 + 3 + 5*l + 3. Let w(c) = -4*c + 5. What is 6*m(z) + 7*w(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.893 + 0.169. Round n to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 12, d: 6}. What is prob of sequence dydd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by 204.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 12:57 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*l - 11*l**2 + 28*l + 20*l.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*x - 33*x - 22*x + 16*x in the form n + s*x and give s.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-48))\/((-14)\/(-567945)). Let q = b + -1691. Calculate the common denominator of 145\/24*(-12)\/(-9) and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 246 - 247. Let z be g\/(-2) + (-37)\/74. Solve -2*n + 7 - 3 = z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 2 - 2)*(-5*x - 1 + 1 - 10*x - 4*x + 0*x + (1 - 3 + 1)*(-x + 3*x - x)).\nAnswer: 160*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 0 + 0)*(j - 3*j + j) - 3*j**2 + 3*j**2 - 3*j**2 + 0*j**2 + j**2 + j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 27*v**3 - 3)*(v - 1 + 1).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**3 - 1. Let b be (9 + -17)*1\/(-2) - 6. Give o(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of 292*b**6\/15 - b**4\/6 - 71*b**3 - 1512*b + 1. Find the second derivative of c(p) wrt p.\nAnswer: 7008*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35469 is divided by 11740.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 12*c + 8. List the prime factors of m(25).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 3\/18681958  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1017, -1\/20, -5, -242\/3.\nAnswer: -1017, -242\/3, -5, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -37066, -74084, -111006, -147784, -184370, -220716?\n\"Answer: 8*n**3 - 37074*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -16*b + 60. Let h(n) = -11*n + 4. Calculate h(r) - j(r).\nAnswer: 5*r - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 140229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 37, 65, 75, 61, 17, -63, -185, -355?\n\"Answer: -t**3 - 3*t**2 + 44*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - (-3 + 0 + 1). Let n = -6555 + 6816. Suppose n = 6*i - t*i. What are the prime factors of i?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/2923434492 or -1?\nAnswer: 1\/2923434492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -496*c**3 - 1358*c**2 - 1262*c**2 + 61*c**3 + 2620*c**2.\nAnswer: -435*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*n - 25*n - 2*n**4 + 0*n**4 - 1 + 11*n to q*n**2 + c + t*n**3 + x*n + z*n**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121 = -16*h + 151. Let j be (-4)\/6*3\/2. Is 10 a factor of (3\/(-1))\/j + h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q - 3. What is g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 998592 and 70525560.\nAnswer: 564204480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -4. Let v be ((-16)\/20)\/(f\/(-35)). Calculate the highest common factor of v and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2244063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2482104 + 526?\nAnswer: -2481467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 149959 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 5 + 4)*(-3 - 2*g + 3) + (0*g + g + g)*(2 - 3 - 1))*(102*g - 54*g + 407*g).\nAnswer: -2730*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1578, -1567, -1540, -1491, -1414, -1303?\n\"Answer: j**3 + 2*j**2 - 2*j - 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 2 = -3*c, 3 - 1 = c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + -2*((-15)\/10 + 3). Let x be (-2)\/v + ((-33)\/(-8) - 6). What is the biggest value in 3\/5, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + d + 158 = -2*t, -118 = -3*d + 2*t. Calculate the highest common divisor of d and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {y: 3, b: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -6*f**2 + 1. Let q be b(-1). Let r = q - -1. Sort r, 1, -2 in decreasing order.\nAnswer: 1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03*-7771.\nAnswer: 233.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, 1, -15\/7, 0.1, -49, -0.4?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 31*n + 372. Let z be m(-12). Let i(r) = r**2 - 5*r. Suppose -2*x + 15 = x. Let s be i(x). Is z > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**15\/(t**(-7)\/t)*(t**(-3\/2))**(-6\/35) assuming t is positive.\nAnswer: t**(814\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j + 21589 - 21589. Let h(m) = -2*m + 0*m + 0*m. Calculate h(k(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55\/3 or 300586?\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1329 and -35165.\nAnswer: -46734285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2175*q**5 - 870*q**4 + 15340*q**2 - 302*q?\nAnswer: 130500*q**2 - 20880*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 171899488 and 469.\nAnswer: 1203296416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*g - 171 + 339 - 10*g**2 + 2*g**3 - 166 in the form t*g**2 + f + r*g + i*g**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.437009km in centimeters?\nAnswer: 743700.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1513 + 0.2487. What is the nearest to -1 in 2\/3, -0.6, 3, s?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1170*p + 960 = 1106*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 11 = -5*k - 34, 20 = 4*j. Let o(i) = -5*i**2 - 4*i + 1. Let w(y) = -4*y**2 - 3*y + 1. Let n(f) = k*w(f) + 5*o(f). Let n(g) = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8.46 - -8.56. Which is the second biggest value?  (a) y  (b) -5  (c) 11.6  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16856 - 12216. What is the remainder when p is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*m - m**2 - 4*m + (-4 + 2 + 0)*(4 - 4 + 2*m**2) + m**2 - 5*m**2 + 5*m**2 + 78*m**2 - 56*m + 108*m**2 - 203*m**2 to q*m**2 + c*m + r and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 200 - 2805?\nAnswer: -2605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/3 - (-52)\/12. Let k(q) = 5*q**3 - 3*q**2 - 2. Let j = -8 + 5. Let c(h) = -4*h**2 - 2 + 3 + 6*h**3 - 3 - 1. Determine j*c(z) + y*k(z).\nAnswer: 2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8555326.9999995 - 8555322. Let q = 0 - 5. Let i = q + u. What is i rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51864.64*-0.036.\nAnswer: 1867.12704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -284.6067301 - -5.\nAnswer: -279.6067301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*s, -5*j + 52 = -4*s + 11. Put j, -14, 0.5 in increasing order.\nAnswer: -14, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 50 = 5*c, 3*a = 4*c - a - 8. Let g(p) = -7*p + 12. Let b(q) = -q. Calculate c*b(d) - g(d).\nAnswer: d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 8, g: 5, j: 3}. Give prob of picking 2 h.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 3480*d**3 + 55*d**2 - 55*d + 55. Let h(i) = 2*i**3 + i**2 - i + 1. Give -165*h(k) + 3*m(k).\nAnswer: 10110*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -154131947 divided by 12949?\nAnswer: -11903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -s - d, -4*s - d + 86 = 2*d. Let b be -2 - 0 - (1 - -2). Let u be (-28)\/b - (-8)\/s. Solve -14 = 2*a - 2*z, -5*z + u + 11 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258*b - 268*b + 40 = 0. Let k(s) be the third derivative of 0*s**6 + 0*s**5 + 0*s - 7*s**2 + 0 - 1\/210*s**7 + 0*s**3 + 0*s**b. Factor k(f).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = 3*l + 5. Let w be l*(-1)\/4*2. Let p = w - -21. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 311\/210 - -2\/105. Sort 2, i, 4, -15.\nAnswer: -15, i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61.09316km to nanometers.\nAnswer: 61093160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -a + 6, 4 = -2*a + 3*g + 16. Let s be 0 + 40\/(-42) + a\/21. What is the second biggest value in -0.5, s, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -133, -241, -347, -451, -553?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.233, 2\/13, 0.5 in decreasing order.\nAnswer: 0.5, 0.233, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/8, 460884, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*q**3 + 1 + 31*q**3 - 1.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.2, 0.06, 0.017, -2002 in decreasing order.\nAnswer: 2, 0.2, 0.06, 0.017, -2002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 278.663 milliseconds to microseconds.\nAnswer: 278663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.21 plus 206.493?\nAnswer: 208.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 702439 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5505115 and 0.5.\nAnswer: 5505115.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w**3 + 8*w**3 - 2*w**3 - 3*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-37)\/4)\/((-9)\/108) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-45)\/108 - (-2)\/3. Suppose 2 = -l - 0*l. Let h be (-40)\/50*l\/8. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 3074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -38 + 41. Suppose 116 = -2*t + r*t. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3))**43\/(o**(-4\/5)*o\/o**(1\/3)) assuming o is positive.\nAnswer: o**(-1933\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10340 by 22.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 o, 1 c, and 1 q when four letters picked without replacement from occqmynn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 12 = -3*n, 3*b - 20 = 2*n + 3*n. Let q(f) = 2*f - 9. Let j be q(6). Let m be -2 - n\/3*j. Solve -3*r = h + 5, 0*h - 15 = 3*h + m*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6 + -37752788217.\nAnswer: -37752788217.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/176 and 117\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -458 or -456?\nAnswer: -456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wry when three letters picked without replacement from xrrxwryxykf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -73 + 75. Suppose -b - 267 + 1579 = 5*k, o*k - 532 = 2*b. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-366)\/(-15)*((-12840)\/(-432) + -30)*-9.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -4*i - 1286, 2962 = 3*a + 2*i + 1089. What is the greatest common divisor of 68 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -64 - -193\/3. Does 0.15 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/8*-16 + -3. Solve -5*p - 2*n - 20 = -3*p, -p + 2*n = -o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(612) + 1 + 5.\nAnswer: 8 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 3*n. Let a(p) = -14*p - 5. Let l(g) = -21*g - 8. Let y be (-16)\/5*20\/(-8). Let v(w) = y*a(w) - 5*l(w). Calculate v(z(r)).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q = -21*q - 84 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - 28*j - 57. Let z be m(-2). Let f = -0.37 + -0.03. What is the closest to -1 in f, z, 9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + l = 5, 173 = -4*v + l + 170. Factor -4*w - 1\/3*w**v - 20\/3.\nAnswer: -(w + 2)*(w + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000848 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3760634*b**3 + 79234454*b**2.\nAnswer: -22563804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5889500 by -12.\nAnswer: 1472375\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1573 + 1572.9997786. Round t to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(-30) + 36\/10. Suppose 5*r - 2*m = 8, 0*r - 4*r - g*m = -12. Let h(v) = v + 6. Let b be h(-6). Solve -2*j + b = -r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5132 (base 8) to base 4\nAnswer: -221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3522477?\nAnswer: 3, 7, 59, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 22 + 34 = 0, -3*x - 585 = -3*i. What is the remainder when i is divided by 99?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110331889.\nAnswer: 47, 2347487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - -1. Let n be 10\/g + (-6)\/3. Are n and -1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65308559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 9*p = 4*p - 5, 0 = -3*g - p + 23. Let h(u) = u**2 - 2*u. Calculate the least common multiple of h(-2) and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 16*m**3 - 6*m**2 - 52*m - 36. Let a(s) = s**3 + s**2 - 10*s - 2. Let h(x) = -36*a(x) + 2*z(x). Determine b so that h(b) = 0.\nAnswer: -16, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 29, 130, 291, 506, 769?\n\"Answer: -c**3 + 36*c**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77, 339, 775, 1385?\nAnswer: 2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-10)\/3 - -3)\/((-2)\/12). Let i(k) = 88*k**2 - 9*k - 2. Does 18 divide i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - 18*x + 3. What is l(9)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-182)\/(-147))\/(19\/266)*(-3)\/(-2). Solve y = 4*j + 30 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11407\/23 + 496. Suppose -5*n + 1 + 4 = 0. Let p be (n\/(-2)*4)\/7. Which is the nearest to 0?  (a) p  (b) f  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (-9 - -6)) + (-1 - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(-2))\/a*a)\/a)**19\/(a**(1\/3))**35 assuming a is positive.\nAnswer: a**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.4681 + 1.5319. What is the closest to s in -0.2, 3, -16.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57668999, 57668991, 57668983, 57668975?\nAnswer: 57668967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - -1)*1*(-1192)\/(-4). Suppose 9*d - a = 17. What is the remainder when 136 is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -3. Let n(f) = 2*f**3 - 4*f**2 + 4*f - 4. Let s(q) = q**3 - q**2 + q - 1. Let j be (-6)\/14 - 124\/(-28). What is j*s(d) + w*n(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 68352, 136704, 205054, 273402, 341748, 410092, 478434?\n\"Answer: -d**2 + 68355*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -4, d + 3*a - 49 = -0*a. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of x**5\/30 - 11*x**4\/12 + 61*x**2 - 2. Let s(m) = -4*m. What is s(l(o))?\nAnswer: -8*o**2 + 88*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*1*(770\/(-140) + -1 + -6). Put h, -2, 8 in increasing order.\nAnswer: h, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 5) + (4 - 13 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 81*a. Let q(b) = -84*b + 1. Determine 5*n(v) + 4*q(v).\nAnswer: 69*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 8 = -q + 3*v, -v = -2*q - 21. Let p be (-54)\/q + (-2)\/5. Let d = -6 - -9. Solve -d + p = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1650 + 1650. Let k(a) be the second derivative of -33\/14*a**4 - 1\/35*a**6 + 6*a - 40\/7*a**3 + p - 3\/7*a**5 - 48\/7*a**2. Factor k(m).\nAnswer: -6*(m + 1)**2*(m + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 285228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.208 + -0.26. Let n = -85.652 + 88.7. Let h = n - j. Round h to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 11\/(0 - (-1 - 0)). Let j(h) = h - 10. Let q be j(d). Suppose -2*z - 5*k + 17 = 2*z, -z - q = 3*k. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 336 = -4*g - 9*o, -5*g = -3*o - 8 - 116 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -m + 15. Let q be -2*m + (-4 - -1). Let r = 14 + q. Let g(k) = -7*k**2 + 1. Determine g(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -931432, -931431, -931430, -931429, -931428, -931427?\n\"Answer: m - 931433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of -2509*q**4\/12 - 3*q**3 + 91*q**2\/2 + 99*q. Let h be k(9). What is h rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1120*a + 14*a - 11348 - 20726 = 0 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - (11 + -5 + 5 + -10)) + -46\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 13*n. Let o(z) be the third derivative of 55*z**2 + 0*z**3 - 7\/20*z**5 + 2 + 0*z + 0*z**4. Calculate o(v(a)).\nAnswer: -3549*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 6*f - f + 394911, 3*c = -5*f + 296192. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, j: 2, i: 1, v: 1, l: 2}. Give prob of sequence sis.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6321 = 19*i - 6302 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 - 2 + 4)*(2*b + 0 + 0) - b - 3*b + 3*b - b + b - 2*b + (0 + 2 - 1)*(-15*b - 56 + 56))*(9 - 2 + 10)*(-2 - 2 - 2) in the form o + p*b and give p.\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/472 and 4 - ((-74)\/(-6))\/(8\/18).\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of n**4 + 74105320*n**3 + 59416399*n**2 + 3 wrt n.\nAnswer: 24*n + 444631920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14bac5 (base 13) in base 8?\nAnswer: 1747103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.1 - 0.1. Let s(u) = -642*u - 10269. Let h be s(-16). Let b = -1 - -9. Sort w, 5\/2, h, b.\nAnswer: w, 5\/2, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 889821 - 2669438\/3. Factor -490\/3 + 5\/6*o**3 - 35\/6*o + z*o**2.\nAnswer: 5*(o - 4)*(o + 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 - 4*p + 8. What is the units digit of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w - 1. Let f be (2\/(-5))\/(((-36)\/(-40))\/(-9)). Suppose -9 = f*a - 21. Determine c(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132299332 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 u when three letters picked without replacement from wswytstsryyrruw?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183718 is divided by 61238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6283?\nAnswer: 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 69750629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 + 3*p - 7. Let v be f(5). Let u = 22 + v. Solve -2 = -u*b - 27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3684*b**4 - 9601.\nAnswer: 14736*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 4*t = -0*t - 14, -4*a - 28 = t. Let l(g) = -g**2 - g + 2 - 7*g + 2*g. What is the units digit of l(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20863915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 159, 196, 105, -108, -437, -876?\n\"Answer: a**3 - 70*a**2 + 240*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, -81, 4, 0.87, -3, -0.09?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-2)*25\/(-30). Let -2\/3 - 1\/3*m**4 - 3*m**2 - 7\/3*m - w*m**3 = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 6*r**3 + 7*r - 1. Let p(a) = a**2 - 37*a - 116. Let c be p(-3). Is u(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2\/11  (b) -3\/160  (c) -1  (d) -3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 8*s - 4. Let y be d(-8). Let i be (39\/(-26))\/((-2)\/y). What are the prime factors of i\/1 - (0 + -138)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 AM and 2:48 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 - 1712*l + 186699. Give r(103).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -6*w**3 + 5*w + 5. Let g(m) = m**2 + 6*m + 2. Let z be g(-5). Let t = z - -2. Let n(x) = 0 - x**3 - x + 1 + 2*x. Calculate t*d(q) + 5*n(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (22\/(-4))\/((-2)\/20). Suppose 4*m = -p + 7, -m = -4*p - 1 - 5. Suppose -27 = -m*h - 5. What is the highest common factor of a and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 54 = 78. Let s = 33 + q. Suppose x - g - 3*g = 3716, s = -4*x - 4*g + 14784. Round x to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2564, 2558, 2540, 2510, 2468, 2414, 2348?\n\"Answer: -6*l**2 + 12*l + 2558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -4\/1441387?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 5:47 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 4, -3*i = -i - 3*j + 2. Let g(l) = 2*l**2 + 4*l - 7. Let d be g(-5). Solve -5*z - d = m, i*m + 1 + 2 = 3*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -0.99, 1, -38, 0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69 - (63 + -6 - -38).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 57 - 57 + y. Let o(d) = d**2. Determine k(o(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, k: 1, z: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3209516 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11204 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43.1643 weeks to hours.\nAnswer: 7251.6024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -344619 + 601258. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*h = 29*h. Is 3\/16 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 71*p + 176 = 67*p - 124, 3*z + 2*p = 138 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-114))\/((-4)\/8)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111101011 (base 2) to base 11.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -135, -114, -73, -6, 93, 230?\n\"Answer: h**3 + 4*h**2 + 2*h - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -6 + 3*j + 20 + 2*j + 2. What are the prime factors of q(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g + 49 = 33. Sort -5, g, 18 in increasing order.\nAnswer: -5, g, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -18\/3577 and 19\/5621?\nAnswer: 39347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8 - 5d?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68414029.\nAnswer: 23, 307, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2167940519.\nAnswer: 37, 58592987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 39.58 - 7.48. Let o = 34.1 - c. Let i = -2.57 - -0.07. What is the second biggest value in i, 4, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3708 and 3716.\nAnswer: 3444732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 12:54 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 82295 and 50585?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 + (-2)\/4*2. Let j(r) = 2 + 843*r - 846*r + 3. What are the prime factors of j(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + v = 2361 + 32794, 4*o - 28124 = 3*v. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -456 by 8.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -27\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 1971*r**2. Let o(c) = 2*c**2. Give s(o(i)).\nAnswer: 7884*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 192747455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (10 + -4)) + 3 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -97 + 197\/2. Let h(m) be the first derivative of -2 + 0*m - o*m**2. Let v(k) = 2*k**2. What is h(v(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a - -59?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1110 - 715. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -6) + -1 + (1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2157 a factor of 6516096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59663461 divided by 3.\nAnswer: -59663461\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -7*w**2 - w - 13. Let q(d) be the third derivative of -d**5\/20 - d**3 - 495*d**2. What is 5*q(m) - 2*u(m)?\nAnswer: -m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 194048291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 31*i - 35*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -9*p - 2*p**2 + 4*p**2 - 4*p**2 + p**2 - 4. Let f be v(-6). Let k = f + -14. Solve k = 2*m - 3 - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in thirty-three fifths of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 2, -4 in increasing order.\nAnswer: -4, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2598491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/7)*i**2)**(-7))**(-2\/73) assuming i is positive.\nAnswer: i**(24\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -186 or -1479\/8?\nAnswer: -1479\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/6 - (-528)\/198. Solve 0 = -m*b + 3 + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(363) - sqrt(363))*2 - sqrt(363))**2 - ((-1*sqrt(3) + 1)**2 + sqrt(3) - sqrt(12)\/sqrt(64)).\nAnswer: 5*sqrt(3)\/4 + 17783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 5, -13.\nAnswer: -13, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 + -9. Let g = p + -11. Let i = 5 + g. What is the closest to 0 in -5\/2, 1\/2, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 3:12 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 - 14*n + 43. Let v be d(-16). What is the smallest value in 0.08, v, 0.4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7176561l to millilitres.\nAnswer: 717.6561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36451 divided by 503.\nAnswer: -36451\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.02, -3, 2, 1.709, -1\/8 in decreasing order.\nAnswer: 2, 1.709, 0.02, -1\/8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 18568988 and 5.\nAnswer: 92844940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 63036660 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -76.7 + 77. Suppose -4*l = 3*o + 8, -9*o + 7*o - 10 = -2*l. What is the closest to -4 in o, k, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.985072 centuries in millennia?\nAnswer: 0.9985072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 660*v + 25 - 331*v - 327*v. Let c be 1 + (1 - (0 + 18)). What is h(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*p + 48664 = 82*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbdbiibzdddbjdbjzzd. What is prob of picking 1 b and 1 d?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from lsyhjis?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7773 * -592.\nAnswer: 4601616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (19617 - 19619 - 4297*f**3 + 364*f**2 + 4302*f**3 - 2*f)*(-1 + 7 + 0) as a + j*f + q*f**2 + d*f**3 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 93091724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -9*n**3 + 2*n. Let z(y) = -35*y**3 + 9*y. Suppose 35*p - 2 = w + 37*p, -10 = 5*w - 2*p. Calculate w*z(r) + 9*f(r).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = d. Let g = 0 + -0.1. Which is the biggest value?  (a) 0.3  (b) g  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - 1 - ((6 - 0) + -8 + 5 + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 911, 913, 915, 917, 919?\n\"Answer: 2*r + 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -4. Let x(h) = h**3 + 9*h**2 + 6*h - 10. Let p be x(-8). Suppose 5*g - p = m*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (256\/48640*24\/(-2))\/((-9)\/(-30))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -0.019  (c) -0.4  (d) 4  (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of 5*w**4\/3 - 14*w**3\/3 - 3*w. What is the second derivative of l(i) wrt i?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 390610, 390624, 390636, 390646, 390654, 390660?\n\"Answer: -h**2 + 17*h + 390594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 5*k**2 + 4. Let y(b) = b**2 + 10*b + 5. Let a be y(-10). Let f be d(a). Suppose 2*g + f = 2*j, -3*g + 10 = 4*j + j. Sort 1\/3, g, -2\/5.\nAnswer: -2\/5, g, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 + -12. Suppose -4*h + y*h = 36. Suppose -5*l + h - 37 = 0, 3*l - 733985 = -2*v. What is v rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*k - 40 = 32 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -19*c - 689. Let l(s) = 30*s + 1033. Determine -8*a(p) - 5*l(p).\nAnswer: 2*p + 347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-25\/3)*a\/a**(4\/15))\/(a**9)**(4\/9))**(-27\/2) assuming a is positive.\nAnswer: a**(783\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47629686.\nAnswer: 2, 3, 13, 409, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/u**1))**(-46)\/(u**(-3)\/u*u*((u\/(u\/u**(1\/11)))\/u)\/u))\/((u\/u**(-1\/6))\/(u\/(u\/((u**(1\/2)\/u)\/u)))*u**(1\/2)\/((u**(3\/11)*u)\/u)) assuming u is positive.\nAnswer: u**(-2903\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 - 7*z - 6. Let g be (-7)\/28 + (-81)\/(-4). Suppose 6*t = 10*t - g. Suppose -t*o + y - 13 = 22, 4 = -4*o - 4*y. Calculate k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*x + 2. Let m(l) = -l**3 + 14*l**2 + 14*l + 17. Let c be m(15). Is x less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -563.33 - -561. Let h = 0.33 + l. Which is the fourth smallest value?  (a) 6\/5  (b) h  (c) 3  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + 6. Find the third derivative of r**4 - 4*r**2 - r**4 + r**4 + v*r**2 wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -37, -2.1, 1\/4, 0.02, -0.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/11 in -3, -1.12, 0.2, 1, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131*g + 202 = -60. Let i(a) be the first derivative of 7\/3*a**3 + 10 - 11\/2*a**g + 0*a. What is the second derivative of i(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of p**5\/15 - p**2. Let a(u) be the third derivative of 0*u**3 - 1\/8*u**4 - 49*u**2 + 0*u + 0. Give a(w(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74202 (base 9) to base 2.\nAnswer: 1011111101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -2937.314 to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 5)*(9*l**2 + 4*l**2 - 3*l**2) to the form h*l**2 + k*l + p and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.05 - 0.75. Put w, 1, -4, 3\/5 in decreasing order.\nAnswer: 1, 3\/5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eea when three letters picked without replacement from aaaaaee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-15) + (-55)\/(-75)*-3. What is the nearest to 1 in 3, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/11, 9.2, 21, 0, -1\/6 in decreasing order.\nAnswer: 21, 9.2, 7\/11, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00039 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.6 - 0.9. Let x = a + -0.7. Let y = 2 + 1. Sort 0.1, y, x.\nAnswer: x, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -52556046 (base 7) to base 9.\nAnswer: -8333736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7734 + 12354. Does 42 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74605.1 millilitres to litres.\nAnswer: 74.6051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-805.\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1020 divided by -3.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -8*m. Let a(b) be the first derivative of -157*b**3\/3 + 1404. Give l(a(p)).\nAnswer: 1256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -47  (b) -1  (c) 93  (d) -1\/6  (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2 - 367594*s + 24633287.\nAnswer: -(s - 67)*(s + 367661)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -223 + 224. What is the fourth smallest value in -0.63, 2\/7, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -23?  (a) -0.4  (b) 1  (c) 2  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 - 17*n**2 - 44*n - 383. Determine o(-16).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -48809463 + 32809463. Round p to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 45 - 45. Suppose 0 = -d + 4 - x. Find the common denominator of -9 and 92\/6 + (d - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.13933 - -0.13067. Which is the closest to -15?  (a) -3  (b) 2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(5\/3)*y)\/y**(-2\/33))\/(y*y\/y**(-1)*y)**(-2) assuming y is positive.\nAnswer: y**(118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61782562?\nAnswer: 2, 30891281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4333 - 120213?\nAnswer: -110330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from dijxppppxpppdxptt.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 85558 and 88.\nAnswer: 342232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 - 18*z + 10. Let c be r(-18). Suppose 3*y = -a + c, 5*y - 40 = 3*a - 0*a. Solve -4*t - 2*k - 18 = 0, 30 = -y*t - 4*k - 0*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/267394 and 107\/36.\nAnswer: 4813092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 101254183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2448875 (base 13) to base 9.\nAnswer: -23180318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -25 - 17?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 9 = 2*g - 6, g + 18 = 5*r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -29, -47, -65?\n\"Answer: -18*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 4*j + 11, 5*g + 18 - 5 = -4*j. What is the lowest common multiple of (-2 + 4 - 6)*j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**1)**(1\/10)*(h\/h**(-2\/5))\/(h\/h**(-4)))\/((h**(-1\/2))**26)**(-22) assuming h is positive.\nAnswer: h**(-579\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 208*h**3 + 2*h + 102 wrt h?\nAnswer: 1248*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 5*t - 18 = 0, c + t - 7 = 3*t. Let w be 4\/(-3)*435\/c. What is w rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -123*l - 10874. Determine z(-88).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3592.888 milligrams to nanograms.\nAnswer: 3592888000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 + 112*j - 2308. Determine g(27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 9 - 19)*(-1 + 16*c**2 - 17*c**2 + 11) + 2*c**2 + 4*c**2 - 5*c**2.\nAnswer: 26*c**2 - 250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 190 = 5*c + 5*f, 16 = -f + 5*f. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -10 + -6*(-7)\/14. Suppose -10 = 2*o + 3*y, -2*o = -3*o + 5*y + 21. List the prime factors of ((-14)\/u)\/(o\/22).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -245 + 243. Sort m, 2, 1.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 511 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vlvubuvlyvlbsy. What is prob of sequence byv?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, g: 3}. Give prob of sequence gdg.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 222 = 144. Which is bigger: -118\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68133860 is divided by 22711286.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6 + 280\/(-465) - 2\/31. Let i = -1.2 + 1. What is the third smallest value in i, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 10:32 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 39*y**3 - 303546*y**2 + 676965*y - 140058 = 0.\nAnswer: 3\/13, 2, 7781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (-3 - 9) + 13 + -2 + -15.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79 = 31*y + 6*y + 513 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/6*3\/((-18)\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*z**2 - 19*z**2 + 85*z + 1593*z**4 - 1583*z**4 in the form q + a*z**4 + f*z + s*z**2 + t*z**3 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100*p - 99*p + 7 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 922721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1813*a + 928*a + 901*a + 118*a**2 to q*a + f + h*a**2 and give h.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72 and 1404.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3*k - 8 = 0. Suppose -y + k*y = -139. Let z = y - -259. Round z to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000046523 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 64  (c) 1  (d) -24.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 - 1) + (-1 - (7 + 8) - -14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26.93 + -27. Let d = l + 3.07. Let f = -5.06 - -5. Which is the second biggest value?  (a) f  (b) d  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3024?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 6 = -k. Let b(f) = -f**3 - 7*f**2 - 5*f + 1. Determine b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -15  (b) -102  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + 1575?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 3*x + 14, 2*x = -x + 12. Let o be (1 + -1)*(w + -1). Suppose 4*m + 83 - 363 = o. Calculate the greatest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 AM and 9:30 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/5, 4, -1\/2, -248?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -7 - 2*i + 7. Let a be ((-3)\/(-9))\/((-2)\/(-12)). Let h(p) = 3*p + 6*p**2 - 3*p - 7*p**a. Determine w(h(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 + -6 + 0 - 4) + (-1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -6*u - 21. Let z(a) = 3*a + 10. Let l(n) = 3*r(n) + 7*z(n). Suppose g + 5*b = b - 5, 9 = -3*b. Let c(p) = -p - 2. Determine g*c(q) + 2*l(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 157411627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (-19 + 15 + -15) - 38?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k + 34902 = 9*k. Is k a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -2*s + 1. Let o be j(-1). What is the second derivative of -2*y**o + 3*y + 0*y - y**3 + 0*y wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -3*m - 7. Let n be k(-5). Suppose 4*a + 4 + 20 = 0. Let u = a + n. Solve -31 = 2*g + u*g - 3*s, -4*g + s - 21 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 565794606?\nAnswer: 2, 3, 13, 7253777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 + 6*b**2 - 8. Suppose 0 = -3*j + w - 20, -4 = 2*j + 3*w + 2. Determine a(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1932585 is divided by 966292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1577 + 1591 - 3168 + q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - a - 26. What is p(0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -g**8\/1680 - g**7\/210 - g**6\/90 - 7*g**4\/24 - 2*g**2. Let l(w) be the second derivative of q(w). Solve l(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2419 + 0.004.\nAnswer: 2419.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41100*j**2*k**3 + 27945*j**2*k - k**4 - 150*k**2 wrt k?\nAnswer: -246600*j**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1325671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 + 2*m**2 + 99*m - 99*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**5*a**(-9\/2)\/a*(a\/(a\/(a**(-3\/4)*a)))\/a**1 assuming a is positive.\nAnswer: a**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 3) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2 and -58\/111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 4*b + 9. Suppose -8 = b*r - 7*r. Suppose -3*g + 235 = r*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 - 30*v - 80.\nAnswer: 5*(v - 8)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -28\/8071635 and 44\/11289.\nAnswer: 8071635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 133 + -75. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12\/(-28)*4\/6 - 184\/(-56). Solve -12 = 3*t - b*n, -n + 4 = 11*t - 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/4)\/(10\/(-8)). Let p = -1.7 - -1.5. What is the nearest to 0 in 3, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -2423.\nAnswer: -4846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(3\/4)*l**(-6)*l*l**(-1\/8)\/((l\/l**(-4))\/l)*((l\/(l\/(l**(2\/5)*l)))\/l)\/(l**(-8)*l)*(l*l*l**(-7)*l)\/((l\/(l*l\/l**(3\/7)*l))\/l) assuming l is positive.\nAnswer: l**(-673\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -278131*q**2 + 523304 wrt q.\nAnswer: -556262*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 767.239 * -0.7\nAnswer: -537.0673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63\/504*-128*-1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*c - 6*c = -138 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12163*s + 69071.\nAnswer: -12163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -3. Let p(q) = 2*q**3 + 26*q**2 - 33*q - 65. Let m be p(-14). Sort -2, w, m in decreasing order.\nAnswer: m, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2334115?\nAnswer: 5, 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1260125304 divided by 315031326\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**1)**(24\/11)*i**(2\/5)*i\/(i\/i**(-5\/2)*i)*(i\/i**(1\/2))**(-9\/13)\/(i**(-2\/5))**(-6\/7) assuming i is positive.\nAnswer: i**(-1724\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = r + 11. Let t = r - 7. Which is smaller: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, h: 3, e: 1, t: 1, w: 2}. Give prob of picking 1 e and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -550*k**2 + 327*k**2 + 279*k**2 + 2*k**2 + k**2 - 4*k**2 + (-2*k - 4*k + 4*k)*(-k + 0 + 0) + (0 + 2 + 1)*(-2*k**2 - k**2 + 4*k**2) - 4*k + 4*k + 4*k**2.\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 551511796438.999999094 - 551511795397. Let l = z + -1042. What is l rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 620, -5?\nAnswer: 620","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*n = 93 - 5. Calculate the greatest common factor of n and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -45, -143, -289, -477, -701?\n\"Answer: a**3 - 30*a**2 - 15*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10a77f (base 16) in base 9?\nAnswer: 2043167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2474.8 - 3973. Round o to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-12))\/((-56)\/((-20832)\/(-31))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1862*r**2*x**5 + 6*r**2 - r*x**2 - 2*x**5 + 79 wrt x?\nAnswer: 111720*r**2*x**2 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 - 66*p - 832. Let r be m(-49). Which is smaller: 3\/584 or r?\nAnswer: 3\/584","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -9, -36, -81, -144, -225, -324?\n\"Answer: -9*b**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -91436 and 21?\nAnswer: -1920156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17\/3, -2\/13, 2\/7, 0, -804, -1 in ascending order.\nAnswer: -804, -1, -2\/13, 0, 2\/7, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -2, 40, 3\/155, -82 in ascending order.\nAnswer: -82, -2, 3\/155, 17, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17386043 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -5. Let x be ((-46)\/3)\/((-2)\/p). Let a be 138\/30*(2 - (-9)\/3). Calculate the greatest common divisor of x and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - (-2)\/(-4)) + 2. Let n = -355.239 - -355.639. What is the third smallest value in 78, n, d?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes before 11:05 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-735)\/(-315)*20\/(1400\/(-3210))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -2*j**3 + 25*j**2 + 40*j - 1. What is g(13)?\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 602, 609, 630, 671, 738, 837?\n\"Answer: w**3 + w**2 - 3*w + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 16*n - 29. Let s be c(12). Suppose -s + 11 = 4*x. Let w(m) = 4*m**2 + 2*m + 2. What is w(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 111582 divided by -6\nAnswer: -18597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of -833*v**6\/30 - 574*v**5\/15 - 62*v**4\/3 - 16*v**3\/3 - 66*v**2. Factor f(s).\nAnswer: -4*(7*s + 2)**2*(17*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 a factor of 28871461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dn when two letters picked without replacement from dnnnndnddd?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20)\/(sqrt(10)*-1) + -5)*4)**2.\nAnswer: 160*sqrt(2) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 7414707 - 11185293. What is o rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 + 0 + 0 + (35 - ((-11 - -20) + 38)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 320142 and 6570468?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -23947.81, 5, -5?\nAnswer: -23947.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 4. Suppose p = -t + 5, j*p + t - 7 = 16. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/132 and 17\/11213520?\nAnswer: 123348720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25681176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 23366336 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 + (-5 - -5) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cjjlejn. What is prob of sequence nlc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m + 1. Let k(a) = 7*a. Let v(o) = -66*o. Let c(p) = -7*p. Let q(j) = 48*c(j) - 5*v(j). Let y(s) = -5*k(s) - 6*q(s). Calculate -d(x) + y(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -103 (base 8) in base 14?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {g: 1, w: 1, e: 5, x: 2, j: 2, o: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 0.1  (c) -13  (d) -0.4  (e) -2\/45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -199366\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4402 - -4432. Let q(a) = -17*a**3 + a**2. Calculate the smallest common multiple of h and q(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 5, 4, -2 in descending order.\nAnswer: 8, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 173165120 to the power of 1\/2, to the nearest integer?\nAnswer: 13159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + 5690 + 5235 - 10146)*(3*u - 6*u + 2*u + (1 - 2 - 1)*(-2 + 2*u + 2)).\nAnswer: -10*u**2 - 3895*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -61*a**2 - a - 9. Let k(i) = -i. Determine r(k(c)).\nAnswer: -61*c**2 + c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - 2 - 10. Let i = g - 3. List the prime factors of -6*(-3 + (-4)\/i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -2.1. Let v = 754 + -753. What is the second biggest value in n, v, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31 - 1 - (19 - 19).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 235 and 3243.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrtrrrttr. Give prob of sequence trrt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - ((-7 - (12 + -19)) + -28)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 41, 42, 45, 50?\n\"Answer: u**2 - 2*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 38 = 3*f, 319*f - 315*f = -3*t - 32 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 96*w**2 - 564*w + 565. Let q be t(1). Which is bigger: q or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 272664103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 12) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + -2 + 3 + -14. Let d = 28 + y. What is the remainder when d is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmrmr. Give prob of picking 2 m and 2 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 3*l**2. Let a(h) = -1708*h**2. What is m(a(w))?\nAnswer: 8751792*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 27179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*n + 12. Suppose w + 0*w - 4*c = 29, n*c - 53 = -5*w. Calculate the highest common divisor of w and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1987825 and 3425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 1. Suppose -31*m + 2064 = -43*m. Let g = 176 + m. Put -2, g, p in ascending order.\nAnswer: p, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/216*32\/14*(-14)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (287\/49 + -7)\/((-3810)\/105 - -35)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 2*i = 224, -5*b + 5 = 3*i - 286. Suppose 2*w = b - 41. Suppose 5*n - 7 = w. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -2*p + 3522, 40*p + 1776 = 41*p + 5*t. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 601 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q - q - 14 + 3 - 2*q. Let a be s(0). Let r be 31\/3 + a\/33. Solve 6*j = 4*j + 2*i - 16, 5*i - r = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27893 divided by 27893.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that l**5\/5 - 105117*l**4\/5 - 3*l**3\/5 + 315353*l**2\/5 - 210234*l\/5 = 0.\nAnswer: -2, 0, 1, 105117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - l + 15 = 0, -100 + 47 = -5*h + 3*l. Solve -5*k + 5 = 2*j, -h*j + 5*j + 4*k - 4 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-15)\/9 - -2)*-3. Let y(i) = -i + 3. Let k be y(9). Sort k, 5, d.\nAnswer: k, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c = -0*c + 497. Let h = c - -294. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 4*j = -4*l, -j = 0. Let z(m) be the third derivative of -m**2 + 1\/8*m**4 + 0 + l*m + 1\/2*m**3 - 1\/60*m**5. What is z(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3670554 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -0.0163162\nAnswer: -0.0652648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j + 2. Let c be g(4). Let a = -16 + 15. What is the units digit of c\/(6\/8 + a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 1:07 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-7)*w)\/((w**(-4\/11)\/w)\/w))\/(w**10\/w*w**(-1)) assuming w is positive.\nAnswer: w**(37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-155)\/(-1203))\/(6\/(3348\/42)). Let i = w + 1\/401. Is 1 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, s: 5, q: 4, k: 1}. What is prob of picking 1 k, 1 v, and 2 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 84953 + -29374. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1484631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/5 - 366*x**2\/5 - 72*x + 728\/5.\nAnswer: -2*(x - 1)*(x + 2)*(x + 182)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19\/25 - -29\/25. Is -5\/124 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -145\/163 - 4541\/7172. Find the common denominator of 17\/7776 and l.\nAnswer: 85536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3274.5 - -3274. What is the closest to -0.2 in -4, p, 2, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2 - x. Suppose 0 = -7*p - 5 + 12. Suppose 3 = 5*j - 4*j. Let f be j + (p - (6 + -1)). Let h(s) = -3*s**3 + 12*s**2 - 12*s. Give f*h(q) + 12*u(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-22) - (-19296)\/203412.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 637 = -9*v + 2*v. Let u = v - 11. Let h = u - -713\/7. Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -109 + 139. Suppose 8*y = c + 3*y - d, -c + 21 = -2*y. Solve c*r - 12*r = -12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*(3 - 16\/(-6)) - 2. Suppose d - o - 5 = 0, 0 = d - 0*o + o - i. Solve -2 = -4*w - d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/10 - (-644)\/(-455) - -2. Let i = -3\/26 - q. Determine o, given that 3\/4*o - 3\/4*o**4 - 3\/4*o**2 + i - 7\/4*o**3 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of -w**5\/20 + w**4\/6 + w**3\/3 - w**2 + w. Let d be a(2). What is the derivative of -c**2 + c**d + 1 + c**4 - 4*c**4 wrt c?\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/2496 or 0?\nAnswer: -7\/2496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1725\/10)\/(-15) - -14)\/(5\/28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4 - 70\/(-7)) + -14. Solve 6*o + 23*o - 145 = b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 521 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 915 a factor of 412275958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = -4*z + 5*t - 0*t, -3*z - 51 = -4*t. Let h be z - (4 - -2)\/(-3). Let w = 16 + h. What is the remainder when 13 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nljnjnlnjnlnjljnn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 31681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - i**2 + (1 + 1 + 0)*(i**2 - i**2 + 2*i**2))*(297 + 60 + 203 + 2189).\nAnswer: 8247*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**2 - 45*h**3 + 0*h**2 - 1 + 2*h + 46*h**3 + 33*h**4 in the form p*h**2 + i*h + x + b*h**4 + q*h**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4263236 and 0.01?\nAnswer: -42632.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(588) + sqrt(588) + 1 - sqrt(588)) + sqrt(588))**2 + (sqrt(2400)*-5)\/sqrt(2) + -2.\nAnswer: -100*sqrt(3) + 2350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 7:54 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6244945, 12489891, 18734835, 24979777, 31224717, 37469655?\nAnswer: 43714591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 - (27 - (-21 + 7)) - -30.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -11 - -8 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1510 > -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*l**3*z**3 + l**3*z**2 + 12*l**3*z + 10*l**3 + 49*l**2*z**3 - 4*l**2*z**2 + 14*l**2 - 17*l wrt l?\nAnswer: -132*z**3 + 6*z**2 + 72*z + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(2600))\/(-3*sqrt(32)) + 1.\nAnswer: -5*sqrt(13)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3899\/2*(-152)\/(-266). Is 3\/((-1 - -3)\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - 46. Let a = 26 + -26. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 989 divide 22273593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = 5*m + 30, 2*m + 14134*l = 14129*l - 33 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*n**5 - 6*n**4 + 141*n**2?\nAnswer: 420*n**2 - 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - k - 5*x + 12 = 0, 2*k - 4*x + 12 = 0. Solve k*m - m = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126 + 63 = -4*g - 5*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*3*sqrt(117) - (-1 + sqrt(117) + -1)) + ((sqrt(117) + 1)*-6 + 3)*-1)**2.\nAnswer: -120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/24*(-288)\/(-192).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(52)\/sqrt(4) + sqrt(13) + sqrt(13))**2 - sqrt(13)) + -2 - -2*sqrt(117).\nAnswer: 5*sqrt(13) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (40\/(4480\/24))\/(3\/8)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 7*b**2 + 3*b - 2\/3*b**3 - 17. Let m be c(7). Let d(p) = p - 3. What is d(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*s - 18 = -87*s + 174*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 - (-35)\/5) + -4. Let r be (b + -4)*(-8)\/(8\/(-1)). List the prime factors of (-166)\/(-3)*(r - (-12 - -4)).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 412a29 (base 11) to base 8\nAnswer: 2416334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/6)\/(-4*8\/48). Factor -1\/2*w**3 + 0 - j*w**2 + 0*w - 1\/4*w**4.\nAnswer: -w**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/1862 and 73\/245.\nAnswer: 9310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = 5*m - 70, -792*g = 2*m - 786*g + 176 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l**2 + 97*l - 97*l + 137 - 137.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-39)\/(-377))\/(480\/(-6960))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 2*w - 8, -4*w + 0 + 2 = -h. Let z(n) = -7 + 3*n**h + 7 + 6*n**2. Let j(q) = -10*q. Determine z(j(b)).\nAnswer: 900*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 378 is divided by 372.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72275588?\nAnswer: 2, 7, 11, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g - 14. Let s be b(-9). Suppose -s*h = 4*l - 1 - 7, 3*h - 14 = -5*l. Solve -6 = -2*o + l*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1072000 + (8 - 8\/4 - 6). Round s to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27079375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -22, -56, -106, -178, -278?\n\"Answer: -c**3 - 2*c**2 - 21*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22)\/(-275))\/((-2)\/40)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 5*a**3 + 3*a**2 + 4*a - 4. Let d(m) = -9*m**3 - 5*m**2 - 7*m + 7. Determine -3*d(v) - 5*h(v).\nAnswer: 2*v**3 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4552413305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36 + 120*n + 27*n - 4 - 10 + 115*n to f*n + g and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*o**2 + 2*o**2 - 72*o**2)*(0 + 2*o**2 + 0) in the form a + y*o**2 + r*o**3 + i*o**4 + h*o and give i.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 400*r**2 - 240*r + 36 = 0.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26364*p**3 + 6084*p**2 + 585*p + 12.\nAnswer: -3*(13*p - 4)*(26*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*j - 168*j - 149*j + 59*j - 79*j.\nAnswer: -300*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 5:04 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**3\/19 - 280*q**2\/19 - 536*q\/19 + 2208\/19 = 0. Calculate q.\nAnswer: -138, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 110\/9 + 28\/(-126)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 29*p + 179*p - 1320610000. Round p to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*f - 19*f + 28*f)*(-2*f + 2*f + f**3).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 5 + 5)*(14 + 156 - 42)*(4 + k - 4) in the form w*k + v and give w.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -60*i**2 + 8544*i - 59739. Calculate z(7).\nAnswer: -2871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -4*w**3 - 3*w**2 + 9*w + 9. Let h(q) = -11*q**3 - 10*q**2 + 27*q + 28. Let r(s) = -3*h(s) + 8*p(s). Let a be r(-7). Solve -a*l - 3 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 11689, 5, -2, 16 in descending order.\nAnswer: 11689, 16, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300)*-2)**2*3 + -4*3*sqrt(1300) - ((sqrt(1300)*-2*2 + sqrt(1300))**2 - (sqrt(1300) + -3 + -1)).\nAnswer: -110*sqrt(13) + 3896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-7) + 104\/28. Suppose -6 + k = -u. Solve 2*o - u*l = -18, -2*o - 16 = 2*o + l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -157 - -157.2. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_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 -511*b**3 - 61*b**3 + 591*b**2 - 296*b**2 - 296*b**2.\nAnswer: -572*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 4*x**3 - 5*x**2 - 3*x + 2. Let q(z) = 2*z**3 - 3*z**2 - 2*z + 1. Let g be (-27)\/6 + 7\/(-14). Determine g*q(y) + 3*j(y).\nAnswer: 2*y**3 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (1722\/205)\/(1\/(-15)*6)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**3 - m**3 + 71714 - 4*m**3 - 71714 + 210*m**2 = 0. What is m?\nAnswer: 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(1573) + 3) + -4 + 0 + sqrt(1573))**2.\nAnswer: 1056*sqrt(13) + 14413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 409164 less than 6.5?\nAnswer: -409157.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -138\/93223 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 46614 by 7769.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -5*y. Let o(v) = -11*v. Let r = -130 + 124. Determine r*o(w) + 13*i(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12626 and 37450.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + 8*(-2)\/4 - -5. Solve k*q - 12 = 6*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 55 + -167\/3. Let s(p) = 24009*p - 96228. Let a be s(4). What is the smallest value in a, 2\/7, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/9  (b) 1  (c) 135080\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 200*j + 8883 = 72*j - 295*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 AM and 10:16 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4275 - 4273.0584. What is j rounded to two dps?\nAnswer: 1.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.7 times -0.217205\nAnswer: 0.3692485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 11*r = 2*a - 13580, -6790 = -a + 5*r. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 152, 151, 150, 149, 148?\n\"Answer: -k + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + 2 - (-1 - -3). What is the units digit of 496\/8 - w\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9164*o**2*v**3 - 6*o**2 + 2*o*v**3 - 184*o - 73100 with respect to v.\nAnswer: -27492*o**2*v**2 + 6*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 715 and 2350920.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 282*y = 734*y - 327*y + 4375 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x - x - 2*x + (2 - 2 - 2*x)*(3 - 5 + 16) + (11 - 28 + 7)*(-2 + 2 + x))*(5*x**3 + 0*x**3 - 4*x**3).\nAnswer: -43*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 1 + -9 + 7 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*v - 10 = 0. Let s(d) = -d**2 + 2*d + 1. Let r be s(v). What is the greatest common factor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -579 - 590 + 12*n**2 + 1169.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((28\/2)\/(-14))\/((3\/(-9))\/(64\/(-3)))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -22741.041 rounded to the nearest 100?\nAnswer: -22700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in 0.13, 3\/5, -4\/9, -2\/7, -23?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 240 + -4?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8532.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 77 and 30037.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*l**2 + 68*l**2 + 41*l**2 - 10*l**2.\nAnswer: 107*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 154\/(-6) + (-1)\/3. Let o be (-82)\/q - (-2)\/(-13). Calculate the least common multiple of 10 and 14 + 0*(o - 4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 164 a factor of 264204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -4. Suppose x - 3*p = 7, x - 2*p - 6 = -0*p. Suppose i*v - 36 = -3*r, 54 = x*v - 0*v - 2*r. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2 - 11*r + 26.\nAnswer: -(r - 2)*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**4 + j + 2. Let g(o) = -68*o**4 + 6*o - 94. Let s(u) = -12*b(u) + 2*g(u). Find the first derivative of s(z) wrt z.\nAnswer: -496*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2121 is divided by 49.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/65 and ((-33)\/(-45))\/(-6 - 328\/(-54))?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**3 - 3*a**2 + 2*a + 6. Let c be x(-2). Let y = c + 27. Let v = -122 - -122. Sort y, 2, v, -5 in ascending order.\nAnswer: -5, v, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5914, -5928, -5942, -5956, -5970?\nAnswer: -5984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5103 < -5.601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 21 = -0. Let c be (a + 15)*(-2)\/(-3). Solve 6*m - c = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 164*v - 8. Let j(a) = 167*a - 10. Give 3*j(f) - 4*r(f).\nAnswer: -155*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*s + 11. Suppose 0 = s*b - 2*b - 4. Find the third derivative of b*x**2 - x**2 - x**6 - 3*x**6 + x**2 wrt x.\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -3*f - 3*m + 21, -5*f = -m + 47. Let b be (0 + 2)\/((-4)\/f). Sort 4, 1, b in descending order.\nAnswer: b, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 52\/9 + (-26)\/(-117) + -4. Solve 0 = -4*r + 4*k, -2 = -r + b*k + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 346 and 1.3.\nAnswer: 449.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 222, 934, 2124, 3798, 5962, 8622, 11784, 15454?\n\"Answer: v**3 + 233*v**2 + 6*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 10*f + 8)*((-2*f + f + 2*f)*(f**2 + f - f) + (-f + f + f)*(-3*f**2 + 7*f**2 - 2*f**2)).\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -661, -1067, -1473, -1879, -2285, -2691?\n\"Answer: -406*v - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-30))\/(414\/(-30) + 11).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 3*q**2\/8 + 76743*q\/4 + 1963162683\/8 = 0.\nAnswer: -25581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94 + -77.9. Let k = -1.1 + q. Let r = 3 + -5. Which is the closest to r?  (a) -0.4  (b) 1\/4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s**3 + 22*s**2 + 7*s - s - 10*s - 22*s**2.\nAnswer: -2*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/420817 - -824108\/3687619371. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.02?  (a) 0.3  (b) 0.7  (c) -5  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -980?\nAnswer: 3\/980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2574299666 minus -0.05?\nAnswer: 2574299666.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u**2 - 5*u - 5. Let q be o(-1). Find the second derivative of 23 - 91*k**q - 73*k - 22 + 0*k wrt k.\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173454 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5348 is divided by (478\/20)\/((-9)\/(-90)) - (-14)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*i - 8*i - 3*i - 4*i - 7*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 8 = r - 0*b, -3*r + 5*b + 21 = 0. Let j be 3 - (-3 + 2 + r). Let z = -1 - -2. What is the closest to j in 4, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 1\/3, -50, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + w = -3*f - 12, -5*w - 3*f + 60 = 0. Let q be w\/(-1 - -4)*2. What is the units digit of 1\/3 - (-46)\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.4823 rounded to 1 decimal place?\nAnswer: 18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 + -57996.1?\nAnswer: -57966.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1533584 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4478.257 millilitres in litres?\nAnswer: 4.478257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 436\/13  (b) 3  (c) 1\/6  (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 15\/2  (b) 0.21  (c) 3  (d) 162  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1086*i + 1074*i = -60. Solve 7*l - 8*l = i*t + 13, 3 = -3*t + l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 30202994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8175\/8 - 10133\/8. Let p = 249 + t. Find the common denominator of p and ((-3)\/11)\/(8\/(-136)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 (base 5) in base 7?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1829, 1845, 1885, 1961, 2085, 2269, 2525?\nAnswer: 2865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 280025720?\nAnswer: 2, 5, 13, 538511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 53533130340 - 3?\nAnswer: 53533130333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {h: 3, s: 4, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25\/(-5)*2\/(-15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + -3 + 5 + 4. Solve c = 0, b - j*c = -4 - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 285 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/6 + 0 - 6\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*i + 1380 = 23*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -16. Calculate the smallest common multiple of m and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*h**2 + 6*h**2 - 2*h**2)*(0 + h + 0) + (-4*h**2 + 2*h**2 + 0*h**2)*(-3*h + 4*h - 2*h) to the form x*h + j*h**3 + a*h**2 + t and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**3 - 980*q**2 + 1948*q - 972.\nAnswer: 4*(q - 243)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -8*j**2 + 12*j - 10. Let g(l) = l**2 - l + 1. Let o(m) = 6*g(m) + w(m). Suppose o(v) = 0. What is v?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - -1. Suppose -x = g - 0. What is the tens digit of (4 + -5)\/(g\/38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 752 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (14*21\/(-294))\/(8\/144)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*h - 133 - 20 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21784 + -22887. Which is the smallest value?  (a) -1  (b) -2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (23*i + 666*i - 87*i)*((3 + 0 - 5)*(-4 + 5 - 2) + 3 + 2 - 4 + (-3 + 3 - 1)*(-3 + 4 + 1)) as s + x*i and give x.\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 2*x - 2, -2*x = -s - 0*x + 6. Let t(h) = -h**2 + 4*h. Let f be t(s). Solve -f*n - 13 = -5*k, 2*n - 16 = -2*k - 0*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/20)\/(1636\/4090)*-18?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.04  (b) -0.08  (c) -3\/7  (d) -4  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*-3*1 - (-9 - -4). Solve -4*z + z + 14 = w, 3*w - 14 = -y*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 37\/2 - 4\/8. Let a be ((-2)\/4)\/(-1)*g. Let z be (6324\/255 - 2)*(-45)\/(-6). What is the greatest common divisor of z and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6483438043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (838\/(-79610))\/(1\/(-35)*(4 + -3))?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -57 - -35. Are -25 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-63)\/630)\/((-1)\/(-12)*2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 27*f**2 - 11*f + 15 - 28 + 11*f. Let q(s) = 13*s**2 - 6. Give -6*g(o) + 13*q(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 233467.\nAnswer: 13, 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 50810340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 33550 and 65.\nAnswer: 436150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42417 and 23565?\nAnswer: 212085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002497522 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**2 + u + 2. Let n be k(-3). Let y = -2 - n. Suppose -3*f = -3 - 3. Solve p + f*p - y = -4*j, 0 = -j - 3*p + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/(-6))\/((-2)\/(-3)). Let x be -3*(-6)\/(-9) - r. Suppose 5 = 2*q + 13. Sort q, x, -5.\nAnswer: -5, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1534 is divided by 135.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/896 and -47\/19984.\nAnswer: 1119104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -187*v**4 + 4*v**2 wrt v?\nAnswer: -4488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 2*g - 9 = 0, 60 - 425 = 73*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 5917 divided by -40044\nAnswer: -5917\/40044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 11*s. Suppose 20 - 5 = -3*u. Let f be (-259)\/70 + u\/(-2). Is f < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 208282478?\nAnswer: 2, 3769, 27631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 891 - -273. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*d**3*t**2 - 20*d**3 + 25*d**2*t**3 - 12*d*t**3 + 542*d wrt d.\nAnswer: 30*d*t**2 - 120*d + 50*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*p = 4*x - 76, 19*p - 111 = -3*x + 31*p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 3*n. Let y(b) = b**2 + b + 1. Let z(f) = -f - 1. Let u(o) = -3*y(o) - 3*z(o). What is a(u(h))?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.24, -2, 7686, 0.04?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.9 in 2\/3, -1\/11, -8?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 2*o = 0. Suppose -4*i + 3*f = -32 + 1877, 4*i = f - 1847. Let n = 467 + i. Solve -5*u + 5 = -n*t, -24 = -t - o*t - 4*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from opippopoiephpoeeepp. What is prob of sequence he?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1190253 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -4*b**3 + 7*b**2 - 5*b + 2. Let c(f) = -5*f**3 + 8*f**2 - 6*f + 2. Let h(z) = 5*c(z) - 6*q(z). Let p be h(-2). Put 4, 1, p in descending order.\nAnswer: 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 83*r - 92*r + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -128, -108, -88, -68?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -517.2 + 518.0428. What is x rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/10*(-1044)\/(-12528)*6\/3*19\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 150750 and 51590?\nAnswer: 11607750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1387 > 1387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 101411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rxrjjrxrxjrrlxj. What is prob of picking 1 l and 3 j?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 50205871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6365 + 14275. Let a = 715 - 717. Is (4 + a)\/(20\/q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-28))\/(56\/3248). Is f at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 4*t = 60, 3*t = 2*b - b + 11. Let s = b - -38. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 14 = -h, 3*u - 27*h + 22 = -32*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i + 14. Suppose -428 = -10*m - 158. Suppose 0 = -8*x - x + m. Suppose -l - 2*b = -12, 10 = x*l + 5*b - 24. Determine v(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1253*c = 2149 + 4116 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -9*((-40)\/12 - -3). Let t be 2*z\/3 + 1. Suppose -148 = -4*m - m - h, 98 = t*m - 4*h. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (-4 - -22) - (5 - -30)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (308\/(-210) - -2)*((-180)\/162)\/(8*-1)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1061412 divided by -1892\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*t = 2*i - 35, -4*i - 40 = -303*t + 146*t + 153*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/5 in -4, -62.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 PM and 10:11 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 28575.2832.\nAnswer: -28572.2832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.9317 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5a2 (base 13) in base 16?\nAnswer: -3d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*k**3 - 4755771*k**2 + 1884786950673*k - 5654318050161 = 0. Calculate k.\nAnswer: 3, 792627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 269 and 0.09392.\nAnswer: 269.09392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 91927430 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - 1*1\/(-3). Which is the closest to h?  (a) -2  (b) 4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 37 + -6 + -2 + -7 + 18 + 6 + -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77672, -155346, -233020, -310694?\nAnswer: -388368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8817.788um in nanometers?\nAnswer: 8817788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*a - 6728 = -72*a - 96*a for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 165332689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 AM and 8:54 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.61 - -1.21. Let m be (2\/4)\/((-1)\/4). Let j = 0.13 - -0.37. Which is the third biggest value?  (a) f  (b) m  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 50448113 - 5?\nAnswer: 50448108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*r - 11*v + 7*v, 0 = -r + 5*v + 2. Suppose -90 = -r*p - 82. Calculate the greatest common factor of 36 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o + 1. Let m(v) = 3*v - 1. Calculate m(c) + s(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-20)\/(-40) + 2\/(-8))*0. Let p be 41856\/(-1024) + 6 + a. Which is greater: -35 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 13*v**2 + 4*v + 7. Is x(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-1*(sqrt(300) + 0 + -4) + -6*(-3 + sqrt(300) + 1)))**2.\nAnswer: -35840*sqrt(3) + 239296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 106786 rounded to the nearest one thousand?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -10. Let h(u) be the third derivative of 0*u + 2*u**2 - 5\/24*u**4 + w - 1\/6*u**3. Calculate h(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -643 * 16709\nAnswer: -10743887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 8867 = -7*s, w - 2*s - 1768 = 2*s. Calculate the remainder when w is divided by 127.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -2. Let t = 28892 - 28896. What is the closest to f in t, 2\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1277\/6 + 213. What is the third smallest value in 5, 38, u?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 3*c**2 - 606*c = 0.\nAnswer: 0, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**4 - 2*s**3 - 2*s. Let b(i) = -10*i**3 - 91*i**2 - 10*i. Let m(n) = 5*a(n) - b(n). What is the third derivative of m(g) wrt g?\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f*i*w + 10*f*w**2 + 5*i*w**2 - 15*i - 25 with respect to i.\nAnswer: f*w + 5*w**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.648 - 1.647997182. Round s to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 10:18 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + -16. Suppose z = -b + 3*b - 14. What is the highest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2385*m + 64 = 4*h - 4768*m + 2387*m, 3*h + m = 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4384?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 522671\/36 + -14520. Find the common denominator of 14\/3 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -10*u + 10. Sort u, 4, -2, -23.\nAnswer: -23, -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + j. Let i be n(0). Suppose i = y - 0*y - 7. Solve 4*k + 3*g + 13 = 0, 0 = -5*k + g - 28 + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3798529238 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 c(j) = -j + 10. Let h be c(8). Suppose -2*r - h*r = 16. Let x be 3\/1*r\/(-6). Which is smaller: x or 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 33\/198 + -1 + 1342\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 2 + -1 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -108 + -1153?\nAnswer: -1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1139169 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4 + 2 + -1 + -1. Let m be l\/6 + (-44)\/(-12). Which is the nearest to -1?  (a) -4  (b) m  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7.35 less than 1\/1825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2392 or -2394?\nAnswer: -2392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2093133 to the nearest integer?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1608)\/(-16)*(-8)\/(-6). Suppose 3*r - 2*r - 204 = -4*c, 3*c = 4*r + t. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -228 (base 9) in base 7?\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*l**2 - 62*l - 12 = 0.\nAnswer: -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 plus 5.6?\nAnswer: -57.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 5*f**2 - 6*f + 9. Let v be o(6). Let q = -6 + v. Solve j + 5 = -q*w - j, 2 = -2*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 13*l - 13*l - 3*l**2 - 4*l**2 + 2*l**2 - 2*l**2 + (13 - 13 - 10*l)*(-2*l + 5*l - 2*l).\nAnswer: -17*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 703789*v. Let z(j) = 444*j. Give z(x(a)).\nAnswer: 312482316*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 3, 19 in decreasing order.\nAnswer: 19, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -0*v + 13. Let p(g) = 118*g + 144. Let d be p(-1). Calculate the greatest common divisor of d and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 - 11*x**2 - 17*x - 47. Calculate v(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-22)\/(-10)*50\/(-40) - -3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -2*q**4\/5 - 901926*q**3\/5 - 101682460774*q**2\/5 + 305059107462*q\/5 + 406740666312\/5 = 0.\nAnswer: -225483, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (10 - (-711)\/(-42))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -125136 divided by 3\nAnswer: -41712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1375) + -3*-2*sqrt(1375) + sqrt(1375) + sqrt(1375))\/((2*sqrt(11) - sqrt(11))*3 - (sqrt(77)\/(sqrt(21)\/sqrt(3)) - sqrt(11))))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 388*q**3 - 54485*q**2 + 27566*q**2 - 370*q**3 + 26919*q**2.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5065290*r + 5065277*r - 195 = 0 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 169 + 197 = 0. Suppose 4*r - 36 = 5*b, -b + 4*r = -r + 24. Let t(g) = -7*g - 1. Calculate the remainder when t(b) is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, 3, 142, 0, -33 in ascending order.\nAnswer: -33, -4, -2, 0, 3, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/8*2\/(-5)*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 610\/183 + 62213\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 51 = 0, -3*i = 987*f - 989*f - 31 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that l**3 - 4*l**2 + 3*l = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002302 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of 41*b**5\/15 + 7*b**4\/3 - b**3\/6 + 11*b**2 + 4. Find the second derivative of m(u) wrt u.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 0*g - g + 3*g. Let k(r) be the first derivative of 3*r**2\/2 - 3. Let b(d) = 4*d. Let j(p) = -5*b(p) + 7*k(p). What is j(w(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-14))\/((65\/13)\/(-10))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 84.000049 - 84. Round t to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + 15. Let v(z) = z - 4. Let y be v(b). Let h = -18.7 + 19. Sort 4\/5, y, h, -0.1 in increasing order.\nAnswer: -0.1, h, 4\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*u**6 + 2319*u + 1 - 481*u**4 + 2*u**2 + 769*u**4 - 308*u**4 + 2*u**3 wrt u.\nAnswer: -240*u**3 - 480*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26005462 is divided by 3715066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = 4*x + 3*y, -4*x - 42*y + 46*y = -4. Let c(i) = -5*i**3 - 7*i**2 - 15*i + 18. Let q(t) = t**3 + t - 1. Let h(v) = c(v) + 6*q(v). Give h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -2.7. Which is the third biggest value?  (a) 0  (b) 0.02  (c) 2  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.8 times 4089708?\nAnswer: 11451182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 65295935, 130591889, 195887843?\n\"Answer: 65295954*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 446 + -3114\/7. Suppose 3*i = -3*s - 0*i - 3, 5*s - 1 = -4*i. Factor 0*l**2 + 0*l + v*l**3 - 8\/7*l**4 + 0 + 2\/7*l**s.\nAnswer: 2*l**3*(l - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9407.84*227.\nAnswer: -2135579.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s + 3*s - 45. Let h be 1\/1 + s\/(-9). Which is the closest to 1\/5?  (a) h  (b) -0.5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 13*x**2 - 4. Let o be 80\/(-14) - 8\/28. Does 16 divide h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -157 - -159. Suppose 2411 = q*u + 271. List the prime factors of u.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + 5. Suppose 0 = 4*s + 16 - 4, -5*s - w = 3*z. Solve -3 = -p + z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12878014.\nAnswer: 2, 6439007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -561914, -561916, -561918, -561920, -561922?\n\"Answer: -2*m - 561912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -214000 + -2?\nAnswer: -214002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of g**6\/120 - g**5\/10 + g**4\/3 - 2*g**3\/3 - 24*g**2 - 2*g. Let o(i) = -2*i**3 + 11*i**2 - 15*i + 7. Calculate 11*j(d) + 6*o(d).\nAnswer: -d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -184309 divided by -4\nAnswer: 184309\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 - 2*q**2 + 2*q - 3. Suppose 4*d = -2 + 14. Suppose d*y - 3*z = -y, 0 = 3*y - 3*z - 3. Calculate b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/6*34\/(71672\/(-51)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of 0*k - 105\/2*k**2 - 18*k**3 + 60. What is the second derivative of a(c) wrt c?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21135.\nAnswer: 3, 5, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 10 + o + 19 - 36 - 3*o. Let p(f) = 13*f + 17. Let b(m) = -3*m - 4. Let t(w) = 9*b(w) + 2*p(w). What is -2*j(x) + 7*t(x)?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4886229 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -w**6\/3 + 4*w**5 - 3*w**4\/2 - 116*w**3\/3 + 28*w**2 + 144*w - 1209. Suppose m(g) = 0. Calculate g.\nAnswer: -2, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 721 divide 2181750326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -276*f + 1. Let z(v) = -3*v. Determine z(w(j)).\nAnswer: 828*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -144*z - 63 - 23*z - 215*z + 6.\nAnswer: -382*z - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 256\/18 - (-12)\/(-18). Let p(b) = -21*b - 2171. Let z be p(-104). Which is greater: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 + 4)*2\/3. Let k = -5 + 7. What is the second derivative of -r - 2*r**4 + r**5 + k*r**n wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 186*n - 4650. Let b be o(25). What is the closest to 0.1 in -2\/55, 9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3003312359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12*(-3)\/(-12) + -3. Let l(k) be the second derivative of 2*k**2 - 2\/3*k**3 + z - 2*k. What is the derivative of l(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -46, 4, 1, 3 in decreasing order.\nAnswer: 4, 3, 1, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-30)*-21 + (-524)\/(-76)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1347\/19 less than -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 274011327 and 2034?\nAnswer: 548022654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16074?\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 18*l**2 - l - 1. Calculate the remainder when -14*14\/(-4) - -3 is divided by t(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40667 = -1841*o + 99661 + 12475 for o.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -10*r - 9. Let d(o) = o + 1. Let h(m) = -18*d(m) - 2*s(m). Let l(y) = -2*y**2. Determine h(l(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1021 + 3?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3)*l**0*l)\/(l*l**(-1)*l)**0 assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from {o: 1, p: 4, x: 9, h: 1}?\nAnswer: 144\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*(3\/(-3) - 1). Let m(a) = -2*a**3 - 4*a**2 - a + 3. Let p be m(f). What is the third derivative of -11*q**4 - p*q**2 - q**4 + 11*q**2 wrt q?\nAnswer: -288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9171 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 6648, 13306, 19962, 26616?\n\"Answer: -v**2 + 6661*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 3:27 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31 - 90. Let z = 50 + x. Let g = z - -9.5. What is the third biggest value in 2\/7, -1\/5, g, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 980026969 + -2?\nAnswer: 980026967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -2*g - 24. Suppose 3 = -a + 5*p, 2*a - 12*p = -11*p + 3. Let s be g\/60 + (a - (-96)\/45). Solve -2*m + 4*l = -0*l - 6, 3*l = -s*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1433 - 1432. Which is the nearest to -1\/2?  (a) -50  (b) o  (c) -2\/17  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175584257 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -87623, -350493, -788623, -1402025, -2190711?\n\"Answer: -2*y**3 - 87618*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of -10*w**3\/3 + 7. Let a be (-21)\/6*12\/(-7). Let q(h) = a - 17 - 2*h + 11. Calculate j(q(m)).\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 + -12. Suppose r*b + 20 = b. Let x(w) = -w**3 - 3*w**2 + w - 5. What is the least common multiple of x(b) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 1 = 2*a, 8*a - 4*v = 19*a - 10*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 262\/(-18)*-1 + (-3400 - -3385).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 89e728 - e?\nAnswer: 89e71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/(-25) - 54\/(-10). Let u be (-10)\/(-45) + 4\/(-18). Suppose 0*f - f + 2 = u. Solve 0 = l*n - 8 - f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/2858 and 73\/8.\nAnswer: 11432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 7, i: 1, z: 5}. Give prob of picking 1 z and 1 i.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 629 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**1*o)*o**(1\/2)*o)\/((o\/(o*o**(2\/3))*o)\/o*o**(-5)) assuming o is positive.\nAnswer: o**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/(-15))\/((-4)\/23932). Let b = x + -1185. Let s = b - 10. Which is bigger: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -16215\nAnswer: 1\/3243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/((-60)\/(-14)))\/((-595)\/765)*18?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 3*z, z - 2*m + 5*m = -6. Suppose -z*q + 31 = -2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of 0*k + 3\/10*k**5 + 0 + 0*k**3 - 11\/24*k**4 - 36*k**2. What is the second derivative of p(w) wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*o**2 + 3*o - 3*o + 12*o**2.\nAnswer: 47*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -110020220302 (base 4) in base 6?\nAnswer: -305044214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 - 45. Let w = u - -36. What is the remainder when 50 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 3*c = -4. Let i(h) = -h - 2. Let k be i(-5). Suppose 4*j = 3*r + 2*r + 2, 14 = -4*r - k*j. Sort 3, r, c in increasing order.\nAnswer: c, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -304, -39, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 40781797159 and -210.1.\nAnswer: 40781796948.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 680981 is divided by 5731.\nAnswer: 4723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 37188829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 - 1 + 6*s - 3*s**2 - 5*s + 2*s**2. Let o(l) = 2*l**3 + l**2 - l + 1. What is -m(v) - o(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1328031072 to the nearest integer?\nAnswer: 36442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 7:03 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3687.18 + 3687. Is -66 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1124\/843 + 5318\/3 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 689, 698, 707, 716, 725, 734?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 1 = -y + 3, -2*y = -3*u + 21. Suppose -u*o - 37 = p - 5*p, -3*o - 30 = -5*p. Suppose 13 = -p*l + 3*c + 121, -c = 2*l - 69. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7\/(-2) - (-7 + 10)\/((-6)\/10). Sort -1.9, 9, m in ascending order.\nAnswer: -1.9, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.13?  (a) -2\/21  (b) 4  (c) -100\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of g**4\/6 + 7*g**3\/6 - 5*g**2 + 2*g. Let m be p(-6). Calculate the remainder when 255\/m*32\/6 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 39\/(-104) - 83\/(-8). Solve -3*g + 8*g = -z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1933026446?\nAnswer: 2, 13, 17, 19, 37, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -40*l**2 - 13502*l + 6749*l + 6753*l. Let j(z) = -20*z + 1. Determine j(t(f)).\nAnswer: 800*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (246\/(-4))\/(48\/(-166)). Let w = -213 + i. Calculate the common denominator of 439\/(-42) + 8 - 0 and w.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11359541, 22719244, 34078933, 45438602, 56798245, 68157856?\nAnswer: 79517429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -51239\/1182 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p. Let j(g) be the second derivative of 499*g**3\/6 - 20*g. Give o(j(h)).\nAnswer: -998*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 2*x - 61620, -5*t - 63792 - 28641 = -3*x. What are the prime factors of x?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/5)*r\/(r\/(r\/(r**(1\/10)\/r*r))))\/((r*r\/(r\/(r*r\/((r**(3\/4)*r)\/r))))\/r*r*r**4))\/((r*(r*r\/r**(1\/3)*r)\/r)**11)**26 assuming r is positive.\nAnswer: r**(-46057\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**2 - 35*v + 6152. Calculate b(49).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7644485953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g + 14. Suppose 6*z = -4 - 32. Calculate the smallest common multiple of o(z) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -4. Suppose 0*h + h - 16 = 3*m, -2*m = 3*h + 18. What is the remainder when 0*(-3)\/3 - m is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 42133 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/5*g**4 - 21\/5*g**3 - 51\/5*g + 18\/5 + 51\/5*g**2.\nAnswer: 3*(g - 3)*(g - 2)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3767 + 3767 + g - 7534.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*n + 370*n**5 + 73*n**4 - 73*n**4 + 4*n - 26*n**5 wrt n?\nAnswer: 6880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (124*g - 124*g - 14*g**2)*(-2 + 0*g + 2*g - 3*g) to the form a*g**3 + t*g**2 + h + v*g and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/6, -1\/5, 116\/3?\nAnswer: 116\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of f**7\/30 + f**3\/6 + 7*f**2. Differentiate c(d) wrt d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g + 12 = 10*g. Factor -53*n**5 + 2*n**4 + 30*n**3 + 70*n**2 + 15 + 48*n**5 + 55*n - 7*n**g.\nAnswer: -5*(n - 3)*(n + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3790 divided by -5\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 - -10. Does 16 divide s\/(-2) + (-66)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8\/49 + 89\/245. Suppose 4*s = -4 + 8. What is the closest to s in 0.07, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 37232824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6750*t + 8050 = 6980*t for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -400681900 to the nearest 1000000.\nAnswer: -401000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 478 - 442. Calculate the greatest common divisor of 576 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -5 - 0 - (-94 + -22).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*z - 157*z = -442. Solve 4*v + 2*m - z = 2*v, -m = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -96  (b) 2\/5  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1))**(4\/13)\/(t**(-2\/3))**(-3\/11) assuming t is positive.\nAnswer: t**(-70\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10100100111111000000101 (base 2) in base 11?\nAnswer: 306284a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wedewdewedek. What is prob of sequence ed?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -4*s**7\/105 - 23*s**5\/60 + 4*s**2. Find the third derivative of n(t) wrt t.\nAnswer: -192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 2 - 3*z**2 - z**3 + z**4 - 6*z**3 + 9*z**3 + z as f*z**2 + m*z**3 + c*z + i + r*z**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwyywwww. What is prob of sequence yw?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218 = -167*d - 221 + 504. Solve -15 = -d*t, 5*t - 37 = 27*c - 23*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c*o*y**3*z - 870*c*o*y**2 + 2*c*y**2 + 4*o*y**3*z + 2*o*z - 11*y**4*z - 2*z wrt y?\nAnswer: 6*c*o*z + 24*o*z - 264*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 439423, 878847, 1318271?\nAnswer: 1757695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j + 33 = 6. Which is the closest to -0.4?  (a) -7  (b) 3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 3*n + 7764 = 0, 2*k - n - 857 = 3025. Suppose -k = -8*v - 261. Does 35 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3661341775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25, 56, 85, 112?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + 0 - 85*(-104)\/(-40). Let i be ((-304)\/24 - -2)\/(4\/l). Calculate the highest common divisor of i and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 61312.96 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-8)*f*f*f**(14\/9)*f)\/(((f\/((f*(f\/((f*f**(12\/13))\/f))\/f)\/f))\/f)\/(f**(-22)\/f)) assuming f is positive.\nAnswer: f**(-3202\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1233, -2338, -3443?\nAnswer: -4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57104 divided by -14276.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41 + 45. Suppose -4*u + 392 = w*r - 0*r, -u = 2*r - 192. List the prime factors of r.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x - 4. Let a be f(-4). Let y = 1 + 22. Suppose -16 = 3*c - 4*c - 4*b, -2*c + b = -y. Calculate the greatest common divisor of c and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -179, -708, -1589, -2822?\nAnswer: -4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-125)\/(-40))\/(1350\/2160).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -52\/23 + 3683\/276. Find the common denominator of y and 1\/(-8)*520\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -615015 + 615015 - 5285*k in the form y*k + t and give y.\nAnswer: -5285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.34 - 0.26. Let v = q - -8.6. Which is the third biggest value?  (a) -4  (b) -1\/4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17 - (9 + -19)) + (-10 + 5 + -5 - -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 3*f**2 - 5*f. Let v be l(2). Let h(w) = 2*w**3 + 2*w - 4. Let r be h(v). What is the greatest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 7*p = 0. Let d = 0 + p. Let l = 821\/7 - 117. Is d at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1234106 is divided by 1234105.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.4 + 2. Let p = n + -0.1. Let j = -1.015 + 0.015. What is the smallest value in j, 1\/6, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4435 by 7809.\nAnswer: 4435\/7809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d**2*r**2 - 18*d**2*r + 11*d**2 - 162*r**2 + 5154 with respect to r.\nAnswer: 4*d**2*r - 18*d**2 - 324*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -6*((sqrt(245)*2)**2*5 - (sqrt(245) + 0)*5)*5.\nAnswer: -147004 + 1050*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 86*x = -81*x + 33, -h + 2*x = -13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 47207776 a multiple of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m + 13. Let v(t) = -t**2 + 314*t - 5. Let s be v(0). Let z(y) = -3*y - 12. Determine s*f(b) - 4*z(b).\nAnswer: 2*b - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of 9*k**4 - 304*k - 1929. What is the derivative of m(f) wrt f?\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 373578 and 202044.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*k**5*o**2 - 210881*k**5 - 17*k**2 + 41961*k*o**2 wrt k?\nAnswer: -120*k**2*o**2 - 12652860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 4065\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002244027 to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 667.9 and -0.16.\nAnswer: -106.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-18))\/((-92)\/(-460)*(-80)\/6)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 - 13. Suppose 3*q = u*o - 325, 0 = -q - 4 + 3. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122*o + 4*o**3 - 122*o - 7*o**3 + 5*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 51. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -6*h + 40. Give k(-41).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -0.483, 4, -5?\nAnswer: -0.483","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - ((-16)\/((-16)\/13) - (-580)\/(-40)). Solve -36 + 3*c + m*c**2 = 0.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21535*t = -21721*t - 8184 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2 = -i, -6*g - 4 = -8*g. Let q(n) = 6*n - 34. Let d be q(i). Solve -3*x + 13 = -m + 2*m, -d*m = 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/(-8))\/((-56)\/(-128)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 1, -20\/2121 in decreasing order.\nAnswer: 1, 0.2, -20\/2121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3059565, 6119130, 9178693, 12238254, 15297813, 18357370, 21416925?\nAnswer: 24476478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - -16521556?\nAnswer: 16521557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -3*q + 12, 47*q - 27 = 5*x + 49*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 - 19*c**2 + c - 19. Let u be f(19). Let z(p) be the third derivative of p**2 - 1\/6*p**3 - 1\/120*p**5 + u*p + 0 + 1\/16*p**4. Factor z(a).\nAnswer: -(a - 2)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.2 minus 854?\nAnswer: -873.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15.989 + 14.989. Which is the fifth biggest value?  (a) 1  (b) 12  (c) 0.05  (d) p  (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1830323135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5129760 is divided by 637?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 222672 and 9797568?\nAnswer: 9797568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by (-2 - 0)*((-117)\/18 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29755633 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 325472 and 1152.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33924.\nAnswer: 2, 3, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 211752 and 426618?\nAnswer: 29010024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5.63 + 0.23. Let k = 1.4 + a. Let j = 137.1 + -137. What is the nearest to j in -6, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 7:11 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gssn when four letters picked without replacement from ggynsgyyygs?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -3. Let w = -6 - -6.4. Sort 0, w, l.\nAnswer: l, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -n**2\/5 - 1118*n\/5 - 112672\/5 = 0.\nAnswer: -1006, -112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from qclcqqlcqzccqlqcm.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -163 and 4?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 8*i - 61. Let r(d) = -2*d + 29. Let m(g) = 2*l(g) + 5*r(g). Let h(y) = 13*y. Give m(h(j)).\nAnswer: 78*j + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -10  (b) 29\/2  (c) 0  (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 125 + -129. What is the tens digit of i*(1114\/(-40) + (-8)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5663 is divided by 134?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3222673349 to the nearest integer?\nAnswer: 56769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10*t**3 + 10*t**3 - 9*t**4 + (2*t**3 + 0 + 0)*(-6*t + 6*t + 3*t))*(21 - 135 + 51) to m*t + v*t**2 + p*t**3 + n + x*t**4 and give x.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (160 - 57 + 56*u - 20)*(-2*u**2 + 3*u**2 + 0*u**2)*(-2*u - 3*u + 3*u).\nAnswer: -112*u**4 - 166*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 7*m**3 + 5*m**2 - 5*m. Let w(n) = -28*n**3 - 21*n**2 + 21*n. Suppose 0 = 18*u - 5*u - 273. What is u*k(r) + 5*w(r)?\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -311 - -300. Let u(x) = x**3 + 9*x**2 - 43*x + 26. Is u(t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 573 and 5307.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 321*r - 21780 = -706*r - 788*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 - (-12)\/5)\/((-160)\/(-600)). Determine u, given that g*u**2 - 3*u + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -4*x**3 - 65*x**2 + 471*x + 37. Determine w(6).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10.45 + -0.05. Let n = r + -5.35. Let y = n - 0.05. What is the second smallest value in -0.5, -3, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 54*h - 55*h. Let g(k) = -k**3 - 4*k + 1. Let f be g(-3). Let s = f - h. Calculate the remainder when s is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -764?\nAnswer: -1\/764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 730590 (base 10) to base 4.\nAnswer: 2302113132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -8. Let k(p) = -p**2 + 2*p + 11. Let c(f) = f**2 - 3*f - 12. Let v(n) = 6*c(n) + 7*k(n). Does 2 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 AM and 1:55 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.07666 - 4646.07666. Let b = c - -4597.81. Round b to zero dps.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 + 13. Suppose 0*x - t*n = -4*x + 20, 0 = -4*x - n + 8. Suppose x*c + 3*u - 9 = 0, 4*u - 2*u + 15 = 5*c. Solve -2 = -c*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6613507 times 3\nAnswer: 19840521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2093 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/5 or -0.2243459?\nAnswer: -0.2243459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4bbc215a - 5?\nAnswer: -4bbc2161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 367434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of 51\/20*g**5 + 0*g + 155\/24*g**4 + 0*g**3 - 36*g**2 + 1. What is the second derivative of o(y) wrt y?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 544 and 2346.\nAnswer: 37536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.776 rounded to zero dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 273353 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from aaaaaaaaaaaabaabbaaa?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (3 + (4 - (25 - 8)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1244.92 + -1273. Let h = t + 28.080003541. What is h rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26511758?\nAnswer: 2, 7, 13, 31, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 197 + -589\/3. Let f be 48\/(-10) + (5 - 2). Let t = 41\/20 + f. Which is the second smallest value?  (a) g  (b) -3\/2  (c) -2\/9  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20502 and 194032.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -794806603 - -1.\nAnswer: -794806602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 181.1 * -0.2.\nAnswer: -36.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -23454, -23455, -23456, -23457?\n\"Answer: -h - 23453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + i - 2*i**4)*(-11 + 13 - 8*i - 26*i + (-2 + 3 - 2)*(-7 + 7 + 6*i) - 4 + 4 + i + (4*i - i - 5*i)*(0 - 3 + 5)).\nAnswer: 86*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36 + -12. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 - 35 - 3*r + r + 0 - 21.\nAnswer: -2*r - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -8 - 0) + 12 + (-85 - -99)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 2*(1 + 1 + sqrt(200) + (3 + sqrt(200))*-6 + sqrt(200))**2.\nAnswer: 2560*sqrt(2) + 6911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by 4755273?\nAnswer: 3\/1585091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 72 - 61. Suppose 0 = 3*q - 2*t - 1243, -9 = 4*t + o. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 * -6710\nAnswer: 134200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n - 30. Let i be u(21). Find the common denominator of 1896\/(-2700) + (1 - (-13)\/i) and -53\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -320234, -640471, -960708, -1280945?\n\"Answer: -320237*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (52\/66)\/(44\/(-242)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 219579*g**6 + 44699*g**2?\nAnswer: 26349480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rbrr when four letters picked without replacement from rrbrrbrrbrrrrrrr?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27374\/9 or -3041?\nAnswer: -27374\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -2*z**2\/3 - 104*z = 0.\nAnswer: -156, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98*m + 3 - 62*m - 3 + 245*m.\nAnswer: 281*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l = 21*l. Suppose 0 = -3*t - 5*i + 7546 + 1739, -3*t = 3*i - 9291. Suppose l*m - t = m. What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 51*w + 44 = 47*w, 35*w + 385 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ataaauaaataataauut. Give prob of picking 2 a.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*g**4 - g**3 + g**2 - 112?\nAnswer: -264*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -4*n. Let q(b) be the first derivative of 3*b**2 - 16. Calculate o(q(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7928 is divided by 660.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -55\/62, 412 in descending order.\nAnswer: 412, 0, -55\/62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/21)\/(5\/3).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 12:13 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3.767735 millilitres?\nAnswer: 0.003767735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/130559 or -35.76?\nAnswer: -35.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 223046*q**2 + 43296*q wrt q?\nAnswer: 446092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {s: 3, j: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xzx when three letters picked without replacement from {x: 6, z: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16455, 16432, 16385, 16314, 16219, 16100?\nAnswer: 15957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: ((-84868)\/272790)\/((-2)\/54)\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -2*a**3\/15 + 4*a**2\/5 + 2*a - 30. Factor d(z).\nAnswer: -2*(z - 5)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide (-50 - 1)\/((-81)\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 19\/3 - (-6)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 98*t + 73. Let x be h(14). Suppose -5*w + 578 = 2*a, 9*w = -5*a + 4*w + x. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-654)\/4*14\/(-21).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -2*j + 93. Calculate the highest common factor of 90 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00310403891 rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 13) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -57 by -1471509.\nAnswer: 19\/490503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 9*q**2 + q + 6. Let d be y(5). What is the units digit of ((-8)\/12)\/((-2)\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7832 and 801.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 25. Suppose -15 = 5*t, -k*f + 2*t = -10*f. Suppose 35 = -f*x - 5*o - 17, -22 = x + 4*o. Which is smaller: -63\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.97 + -6. Let y = 0.37 - b. Let r = -0.03 - -5.03. What is the nearest to 1 in r, y, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 6*j**3 - 3*j**2 + 2*j - 1. Let l be b(1). Let y(t) = -5*t + 3. Let v be y(0). Put -8, l, -5, v in decreasing order.\nAnswer: l, v, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*x + 2*x + 5*x)*(3 - 4 + 2)*(-6*x + 2*x + 5*x)*(1296 - 680 - 690) + 0 + 0 + x**2 to the form m + i*x**2 + y*x and give i.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -19*d. Let j(n) = -18*n - 1. Let q(o) = 5*j(o) - 4*y(o). Is q(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1054155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -1 + 6*o + 2*o**2 - o**2 - 3*o**2 + o**3. Is x(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 0, -90*f + 89*f + 5*b - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -72*r**2 - 5*r. Let g(a) = -36*a**2 - 3*a. Let k = -4300 + 4303. Determine k*u(p) - 5*g(p).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from eeeobebeonbeoobb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27 - -2. Suppose y - d + 5*d - u = 0, -d + 5 = 0. Suppose 4*t + 585 = y*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1196 - 566. Calculate the greatest common divisor of z and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p - 11*p = -4*j - 20, 2*p + 47*j = p - 235 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -177443*z**2. Let w(g) = -g. What is w(i(t))?\nAnswer: 177443*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 797, 1643, 2489, 3335, 4181?\nAnswer: 5027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.9 - 0.1. Let k = -0.82 - -0.82. Let j = -0.4 - -0.8. Which is the closest to k?  (a) q  (b) -0.2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11700 divided by -1950\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14.51 + -14.51000766. Round y to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23959 times -0.046?\nAnswer: 1102.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 8*d**2 - 15*d + 51. What is the remainder when t(10) is divided by (0 - (-12)\/(-42)) + 256\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1313 + 1319. Let k(a) = -9*a + 51. Give k(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2210110012 + -222111?\nAnswer: -2211102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 121, -4, 6, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 - 32. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*1 - (149 + 2). Let l be b\/(-13) + 4\/26. Suppose g = -3*u + 4*u, 0 = 4*g - 16. Solve l = -u*n, 5*t - 2*n = -0*n + 31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/5, 9\/5, 7?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2\/((390\/(-10447255))\/((-3)\/7)).\nAnswer: 22961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-1)*(k**(5\/6)\/k)\/k)\/((k\/(((k*k\/k**(1\/6)*k)\/k)\/k))\/((k*k**(-2\/19))\/k)) assuming k is positive.\nAnswer: k**(32\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 7140482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14486612 is divided by 413903.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -50.382 rounded to zero decimal places?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 3*a - 12, -4*a + 2*a = 8. Which is greater: b or -11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 7, 10, 21, 40, 67, 102, 145?\n\"Answer: 4*r**2 - 9*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -4201232444?\nAnswer: -4201233000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8345 - -12404. Calculate the highest common factor of a and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 23*z - 1 - z**2 - 165*z**3 - 24*z + 0. Let t be d(-1). Suppose -t - 1 = -5*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 77249.32 centimeters?\nAnswer: 772493200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -87*u - 7. What is the units digit of j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 51 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1778 - 1783. Let h = 15 + -15.7. Which is bigger: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -73.59 to zero dps.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/58900 and 113\/88350.\nAnswer: 176700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2400.621 kilograms to nanograms.\nAnswer: 2400621000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*k = 66*k - 584. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -13*s + 63. Determine c(26).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -130 or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 714?\nAnswer: 3570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 115*l + 146*l - 350*l - 388*l in the form q*l + k and give q.\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1359 - 1227. Calculate the remainder when z is divided by 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 - 2 + 4)*(-1 - 2*s**2 + 1)*(-s - 3*s + 3*s) as f*s**2 + h*s**3 + a + j*s and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 626 - 399. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 + (-3486 - -3485 - (12 - (0 + -1)))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2372870 divided by -2.\nAnswer: -1186435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198 = 221*g - 232*g. Solve 5*x + 5 = k, -3*k + g = 5*x + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 6*a = 2*h - 5, -2 = -2*h + 2*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4363, 35024, 118237, 280276, 547415?\nAnswer: 945928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 30757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152535 is divided by 1531.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 143\/48. Which is the smallest value?  (a) 5  (b) p  (c) -4  (d) -0.3  (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 5 + 13. Suppose 0 = b*o - 4*o. Suppose o = -3*t - 6*u + u + 278, 0 = 5*t - 3*u - 452. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1570111, -1570112, -1570113, -1570114, -1570115?\n\"Answer: -l - 1570110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -l - l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1377 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 131\/(4192\/18048) - (-11 + -1). What is the greatest common factor of 168 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -700, -1426, -2162, -2914, -3688, -4490, -5326, -6202?\nAnswer: -7124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 111*39\/1294371*-23?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -170*o + 40. Let h(u) = 13*u - 3. Let b be -4*(30\/(-8) + 4)*3. Give b*n(w) - 40*h(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -69 + 74. Let f = w + -5.1. Let v = f - 0.9. Put -2\/15, -6, v, 2 in decreasing order.\nAnswer: 2, -2\/15, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 158933 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1442 - 1418 = -4*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*b**3 + 58*b + 248?\nAnswer: -6*b**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/657 and -65\/21.\nAnswer: 4599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 11) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 5*w = 169347 - 169408, 9*i - 4*w = -407 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 59*a + 20327 - 496*a - 253*a - 16834 wrt a.\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7.5*-273\nAnswer: -2047.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of 0*j**4 + j**2 + 2\/105*j**8 + 0*j**3 - 7\/300*j**6 + 0*j - 8\/525*j**7 + 0 - 1\/150*j**5. Let z(o) = 0. What is o?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 21*q + 27 - 27. Let i(c) = -4*c**2. Calculate i(x(a)).\nAnswer: -1764*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 33258541000 to the nearest 1000000.\nAnswer: 33259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.18 and 8189939337823.\nAnswer: 8189939337822.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - v**2 + v - 1. Let z(o) = -5*o**3 + 3*o**2 + o + 2. Calculate 2*i(u) + z(u).\nAnswer: -3*u**3 + u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 244535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, 0, -13, -27031, -0.06?\nAnswer: -27031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y**3 - 292*y**2 + 292*y**2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33.697275 - -33.7. Round x to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 - 19*a**2 + 8*a - 6. Let f be z(21). Suppose -5*w + 176 = c, -16*w + 18*w = 2*c + 80. What is the highest common factor of w and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + 2 - (-270 + 293).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1480)\/(-6)*(4 - 60004). Round o to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5*w - 15 = 0, 3*c - 7*c - 4*w = 12. Let a = 7990 + -1701866\/213. Is c not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 59 + 5. Calculate the greatest common factor of o and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24678 divided by 3.\nAnswer: 8226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/(-10))\/(1035\/(-6900)))\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of -503*k**7\/42 - 55*k**3 - k**2\/2 - 2114*k. Find the second derivative of g(h) wrt h.\nAnswer: -10060*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 - 35) + 56 - -25. Let s(z) = 21*z - 3. Let f be s(2). What is the highest common factor of v and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/2 + (-656)\/32. Let t be (8\/(-10))\/(8\/m). Suppose -3*b + t*f = -3*f, -4*b = 5*f. Solve -3 = -4*x + 5, b = 2*z - 4*x + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 1  (b) -0.211  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3140790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 273, 1307, 3043, 5493, 8669, 12583?\n\"Answer: 2*n**3 + 339*n**2 + 3*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*o**3 + 9891165*o**2 + 59346810*o = 0. What is o?\nAnswer: -1978227, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f66b52 + 4?\nAnswer: -f66b4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5002657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11742.063 and -3.\nAnswer: -35226.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1477 is divided by 107?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 9*s + 161. Let o be i(-17). Solve 4*c - q - o = 0, -20 = -3*c - c - 2*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 126 + -56. Is (0 - -326) + (-7)\/(w\/20) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -9, 1, 0.17219, 2 in decreasing order.\nAnswer: 2, 1, 0.17219, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -14. Suppose -5*f + c + t = 0, 3*f + 3*c + 8 = 20. Sort 3, 7, f in descending order.\nAnswer: 7, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 376, 445, 494, 517, 508, 461?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**10*l*(l*(l**10*l)\/l)\/l)**33 assuming l is positive.\nAnswer: l**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 - 7*n**2 - 3. Suppose -31 = -3*b + 5*x, 0 = -b + 2*x + x + 13. Determine l(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/498 and 39\/1974487.\nAnswer: 11846922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 189416 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*f**2 + 0*f**2 - 2*f**2 + (-1 - 1 + 0)*(12*f**2 - 2*f**2 - 2*f**2) + (-f - f + 0*f)*(-4 + 4 - 2*f).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10.7 - 10.9. What is the nearest to 0.1 in 4, 1\/7, c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13543450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 117472621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -320 = 60*y - 80 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -152.3 + 145. Let l = 7 + u. Let z = 101690 + -101682. Sort z, l, 5.\nAnswer: l, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, -5, 4, 2, 273 in descending order.\nAnswer: 273, 16, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p - 1394 = -7*p. Let d = -659 - p. Let u = 46 + -26. What is the least common multiple of u and d?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sw when two letters picked without replacement from wsjw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiu when three letters picked without replacement from {u: 4, i: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 36 and 97\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + 45*f**2 - 42*f - 69. Let a be q(44). Solve -3*h + 4*c + a = 0, -3*c - c + 1 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 210505 + -112?\nAnswer: 210353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2182, -2698, -3514, -4624, -6022?\nAnswer: -7702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 19*i**2 - 23*i - 48. Is d(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 290 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of i**5\/60 + i**4\/8 + i**3\/6 - i**2. Let c be h(-8). Let y = -27 + c. What is the highest common factor of y and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/13?  (a) 1  (b) 0.06  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*i + 44 + 81. Let o = 6 - 8. Put i, o, 2 in decreasing order.\nAnswer: 2, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 3 - 4 = 3*v, 0 = -w + 3*v - 1. Suppose -w*o + 9 = -o. Suppose 2*t - 4*d - 30 = 0, -o*t = -4*t - 5*d - 75. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*r - 215*r = -189 + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of 2*k**4\/3 - 7*k**3\/6 + 7*k**2\/2 - k. Let m be (-4)\/(-1 - 5\/(-3)). Let g(w) = w**2 - w + 1. Calculate m*g(u) + r(u).\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 5259182.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 8*q**3 + 3 + 2.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/158 and 77\/26.\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -47*f + 1. Let x(l) = 2468*l + 962. Let n(u) = -2*i(u) + 2*x(u). What is the first derivative of n(m) wrt m?\nAnswer: 5030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1607, 1608, 1609, 1610, 1611?\nAnswer: 1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 797891 = 2*y + 5*w, 18*y - 5*w = 19*y - 398958. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39, -50, -63, -78?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -221872*k + 221921*k - 441 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 119*s**3 - 14*s**2 + 12*s - 4. Let w(j) = j**3 + 7*j**2 - j + 1. Calculate -l(t) - 2*w(t).\nAnswer: -121*t**3 - 10*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*o**2 - 42 + 42 + (0 + 0 + o)*(64 - 64 - 14*o).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/4  (b) -4  (c) 0.02  (d) 1\/6  (e) 2  (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of -55*w**3\/3 + 60*w**2 - 20*w - 182. Find v, given that p(v) = 0.\nAnswer: 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/377897476 and -137\/206125896.\nAnswer: 2267384856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3101 + 4663. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/2*1*-6. Let w be 3*(-2)\/k*6. What is the greatest common divisor of 21 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.061 - -1. What is i rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -2. Suppose -t*u + 162 = u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/4500 and -94\/1935.\nAnswer: 193500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -6784*i**3 + 70*i**2 + 31*i. Let t(m) = -6785*m**3 + 70*m**2 + 30*m. Let k(l) = 7*p(l) - 8*t(l). Find the third derivative of k(n) wrt n.\nAnswer: 40752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14946 and 72074?\nAnswer: 538609002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 11, l: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (13 - 11) + -1 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-1944.\nAnswer: 777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6736 is divided by 3337?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11241 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4*(2 + -1 + 0). Let g be 4*(1119\/6 - s). Round g to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 29 = -3*c, -p + 5 = -c - 7. Let a = p - 4. Solve n + a - 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -55541135 (base 6) to base 12\nAnswer: -68a7ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*x + 404 = 2076 + 1738 for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (1 - 8 - (-4 + -11)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40 + 11*l**3 - 21 - 19.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11040034330 (base 5) to base 6.\nAnswer: 1105531351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -61 + 2421?\nAnswer: 23a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of 0*d + 0 - 3*d**2 + 3*d**3 - 17\/8*d**4 + 1\/4*d**5. Solve z(h) = 0.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -144 - -143. Which is the nearest to m?  (a) 1  (b) -16  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -21*h - 16. Let c be t(-1). Suppose c*v - 13420 - 42045 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111012201323 (base 4) to base 3.\nAnswer: -101102001011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -10*v + 46. Let t be b(6). Let h = 11\/8 + -9\/8. Which is bigger: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (13\/1248)\/(804\/(-16)). Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1336649, 1336697, 1336745, 1336793, 1336841, 1336889?\n\"Answer: 48*v + 1336601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*x**4 + 49*x**2 + x**3 + 2129*x - 2129*x wrt x.\nAnswer: 120*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 0*n - 2*n + (-3 - 5*n + 3)*(14 + 9 - 10))*(-12 - 9*n + 12).\nAnswer: 603*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*y + 21558 - 103483 - 1350 = 0. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40971 + 13658 + 13655 + 13671 - 2*j**3.\nAnswer: -2*j**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 3*u**2 + u - 1. Let l be r(4). Suppose 3 - l = -j. Let t(y) = -y + 62. Calculate the remainder when t(0) is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m = 132 - 6. Let i = 21 - m. Calculate the remainder when 10 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 + 17 + 5 + 9*x**2 + 13 - 56 + 2*x to the form q*x + t*x**2 + w and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (22*k - 22*k + 21*k)*(4*k + 4*k - 5*k + (3*k + 2*k - 3*k)*(1 - 1 - 1)) to n*k**2 + u + s*k and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y**2 + 15*y + 10. Let u be g(8). What is the common denominator of 58\/40 + 35\/(-10) + u and 67\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -3*o**2 + o - 6. Suppose n - 9 = 4*n. Let i be m(n). What are the prime factors of i*(-3)\/(-12)*-2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 111 + -109. Put -4, 7, -1, r in ascending order.\nAnswer: -4, -1, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 7. What is the second biggest value in -0.3, -5, 1\/10, l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -138105\/29 or -4763?\nAnswer: -4763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26003942?\nAnswer: 2, 2837, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34 + 34.2. What is the second biggest value in 3, -0.1, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1079 divide 18514259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -3\/760?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2\/3  (b) -1\/4  (c) -11  (d) 27\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of v**5\/60 - v**4\/3 - v**3\/3 - 3*v**2 - 75*v. Suppose 0 = 8*f - 6*f + 48. Let x = -17 - f. Give s(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -1835*o + 1069805. Calculate i(583).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5261707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 3*m**2 - 25*m - 1143. Let n(l) = -16*l**2 + 124*l + 5710. Let u(d) = -29*h(d) - 6*n(d). Differentiate u(j) with respect to j.\nAnswer: 18*j - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 28 - -12. Suppose y + 2*o = -y - 22, -3*y + 2*o - 48 = 0. Let r be (p\/y)\/((-12)\/42). Solve -s - s = -r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10.2 + 7. Let q = 9 + v. Round q to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1704 and 22365?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c + c - 2*c + (2 - 3*c - 2)*(0 - 1 + 3) + 3*c + 3*c - 5*c + 0*c + 0*c + c to the form x + t*c and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.75 + -2.25. Let d = -0.1 + 0.3. Let l = d - 0.1. What is the closest to l in -2, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1390421.\nAnswer: 1390421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 56659*o + 1232*o**2 - 165240*o - 2*o**3 + 3678 - 3678 - 81147*o.\nAnswer: -2*o*(o - 308)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 119\/8810 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 134084 and 208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*a**4 - 562*a**2 - a + 2*a**3 + 629*a**2 + 0*a**4 in the form s*a**2 + q + u*a**3 + z*a + p*a**4 and give s.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (20*-18)\/18 - -32000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, -1978 in descending order.\nAnswer: 2, 0, -1978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000094132 to 7 decimal places.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l**2. Let o(b) = -3*b - 38. Determine y(o(i)).\nAnswer: 18*i**2 + 456*i + 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 31\/(13\/(-182)*-1) and 62.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 + 29. Let k = 27 - a. Suppose -4*c + 2*c = -3*u - 16, -k = -c - u. Solve 3*i = x - c, 4*x - 3*i + 4*i - 4 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -14 - -f88ec?\nAnswer: f88d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggj when three letters picked without replacement from gggggggzjggggggjg?\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 1011000110111100?\nAnswer: 1011000110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 82 * -5\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 918 = 3*a + 2*m - 5*m, 3*m = a - 304. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 406 and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*j - 11*j + 3*j + j - 5*j**2.\nAnswer: -5*j*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 2*i - 8 = 0, 0 = 2*u - i - 0*i. Solve -u - 11 = g + 3*l, 0 = 3*g + 2*l + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -29*m + 118. What is p(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + j - 29, n - 2*j + 42 = 5*n. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1426000896 to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -2*(sqrt(5) + sqrt(80))*3)**2.\nAnswer: 300*sqrt(5) + 4525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-5)\/(-10))\/(9\/(-45693))*2\/(-1) a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1a (base 15) to base 3\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-5)\/(-20)*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.65288?  (a) 0.6  (b) -2  (c) 0.3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 177981516?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.181  (b) 23  (c) 2\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 - 721*d - 5698. Let k be z(-8). Solve -y - 3*u = -k*y + 18, -2*u = -2*y + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/j**(-1))**(-25\/2)\/(j*j*(j*j**(-1)*j*j*j)\/j*j)**47*(j*j**(-2))**(-24)\/(j\/(j*j\/((j\/(j*j**(-2)\/j))\/j)))**(3\/17) assuming j is positive.\nAnswer: j**(-8455\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17073 + -17072.7. What is the second smallest value in -49, 5, 2\/5, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/309918 and 37\/846?\nAnswer: 929754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2775\/18 + (-4)\/24. Factor 42*x**3 + 228*x**4 - o*x**3 - 69*x**5 - 75*x**5 + 16*x**2.\nAnswer: -4*x**2*(3*x - 2)**2*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.24?  (a) -0.5  (b) -1\/5  (c) -0.3  (d) -209  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1354123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3736992 and 49848?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 48, 57, 80, 123, 192, 293, 432?\n\"Answer: r**3 + r**2 - r + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1187697947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*t + 67*t + 1061 = -7*t - 9646 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 21, -5, -24.82, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t - 18 = 2*h + 2, 0 = -2*t - h + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2168 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 903 + a667?\nAnswer: b06a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -690*n*w**3 - 42*n*w**2 - 1659*n - 164*w**3 wrt w?\nAnswer: -4140*n - 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 832, 842, 858, 880, 908?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 n, and 1 q when three letters picked without replacement from {o: 4, g: 4, q: 3, j: 2, n: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/9 and 91\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3 from 224826.4616.\nAnswer: 224826.1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -17 - 11. Let f = a - 0. Let n be (-2)\/1 + f - 2. What is the greatest common divisor of n and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*u - u. Let c be (u + -1 - -2)*1. Suppose d - n - 6095 = 2*d, c*d - 5*n = -24425. Round d to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {s: 2, x: 4, d: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 170818238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - l - 6 = 0, -m - 2*l + 1 = 4. Let g = 273 - 276. Put 5, -4, g, m in ascending order.\nAnswer: -4, g, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2 and -113\/80 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bpssbssllp. Give prob of sequence pl.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/116216 and 31\/3524?\nAnswer: 102386296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (67*(-75)\/738675)\/(1\/(-1)*2\/18).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2566 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5640509 rounded to 3 decimal places?\nAnswer: 0.564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2 = -4*h. Let w(f) = f**2 + 10*f - 35. Let y be w(-10). Sort 2, h, y in descending order.\nAnswer: 2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8.5 + -9. Let n be (-1)\/(-2) + (-20)\/72. Let g = -0.1 + 0.1. Sort y, g, n in descending order.\nAnswer: n, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4731 + 4720. Which is the fourth smallest value?  (a) 0  (b) 0.1  (c) -108  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 7. Let l be s\/(-4)*(13 + -9). Let z be ((-6)\/(-5))\/(l\/20). Calculate the highest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 0 - 16 = 0. Let k(m) = m**2 + 4*m. Let s be k(y). What is the units digit of (3 + s)\/(3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/18)\/((-12)\/18). Let v = 9\/20 + -1\/20. What is the biggest value in 0, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1094568550*b**3 - 85403*b**2 + 19*b - 45.\nAnswer: 6567411300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 816148 - -6032.7?\nAnswer: 822180.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 69*k**5 - 2*k**4 + 1523*k**2 - 4386*k + 13.\nAnswer: 1380*k**3 - 24*k**2 + 3046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6370?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -10*h**3 + 3*h + 2. Let o be i(-2). Let x = o - 1. Let v be x\/12 + (-2)\/8. Solve 3*g + v = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 300 not equal to 1203\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52070.64ng to tonnes.\nAnswer: 0.00000000005207064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-3))**(-2\/131)\/(z\/z**(3\/8)*z*z\/(z*(z\/(((z\/(z*z*z*z\/((z\/z**(-8))\/z)*z))\/z)\/z*z))\/z)) assuming z is positive.\nAnswer: z**(-4799\/1048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.92 - 0.08. Let x = -53158 + 53171. Sort x, 4, -5, h in ascending order.\nAnswer: -5, h, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/2)*r\/(r*r\/(r*r*r**(-2\/17))*r))\/(((r**(12\/5)\/r*r)\/r*r)\/r*r\/((r**13*r)\/r)*r) assuming r is positive.\nAnswer: r**(1697\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -893*a*f**2 + 10*a*f + 5*f**2 - 3333*f wrt a.\nAnswer: -893*f**2 + 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -16*w - 14. Let c(b) = -b - 1. Let i(o) = -28*c(o) + 2*t(o). Suppose -8*d + 39 = -33. Let k(y) = -11*y - y + d*y. Determine i(k(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4111914 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9925 minus 46560983.9?\nAnswer: -46551058.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 32449, 64895, 97341, 129787?\n\"Answer: 32446*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 0.3  (b) 0.1  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**4 + 2*s**4 - 3*s**4 + (0 + 1 + 1)*(-2*s + 2*s - 2*s**4) - 3*s**4 + 3*s**4 - 2*s**4 - 112 + 19 + 90 - 10*s**3 + 8*s + s**4.\nAnswer: -4*s**4 - 10*s**3 + 8*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5683 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + q + 2*q)*(-418 - 1169 + 2446).\nAnswer: -859*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1991730.\nAnswer: 2, 3, 5, 13, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -202898499 divided by -67632833?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 798 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-28)\/c*c**(-17))\/(c**38\/(c**(8\/5)\/c)))**(-2\/25) assuming c is positive.\nAnswer: c**(834\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29892564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v\/((v*v\/(v*v**1*v*v)*v)\/v))*v**(-9))**(-1\/13) assuming v is positive.\nAnswer: v**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3289 divided by -31052\nAnswer: -3289\/31052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 9 = -3*v, 3*g + 7 = -0*g - 4*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u + 2184 = 10311. Is 25 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 92, 186, 290, 410, 552, 722, 926, 1170?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*s**5 + 190*s**4 + 72*s**3 - 136*s**2 + 32*s = 0 for s.\nAnswer: -1, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 4*m - 3 = 89, 5*o = -4*m + 258. Suppose 23*t + 22*t + 9*t - 2700 = 0. What is the highest common divisor of o and t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 1\/21  (c) 0  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -33451*d**3 + 50*d**2 - 11*d - 3?\nAnswer: -200706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 + 23*p + 53. Calculate the remainder when 61 is divided by h(-22).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 6 = 3*c. Solve 0 = c*i - 2*k + 11, 4*i - k = -3*k - 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 0  (b) 4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 2, -4\/3, 1, -3, 7\/22?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -23326056 divided by 486?\nAnswer: -47996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(4*sqrt(42)*-1 - sqrt(42)))\/(sqrt(30)\/(sqrt(5) + (sqrt(245) - sqrt(245)*1))).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19522 by -2.\nAnswer: -9761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b**2 + 3*b + 2. Let q(g) be the third derivative of g**6\/10 + g**5\/20 - g**4\/12 - 8*g**2. Calculate the remainder when q(1) is divided by k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 358 - -24 - (1 - -7) is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1284699251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -o**3\/3 + 2*o**2 - 4*o + 1. Let i(f) = f**3 - 7*f**2 + 8*f - 9. Let m be i(6). Suppose m = -b + 7. Determine x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3706202153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/((-455)\/84)*5*(-1)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/8)\/(54\/12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -6*d + d**2 + d**2 - 573*d**3 + 7*d. Let r be n(-1). Suppose -r = 7*h - 9*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7764 - 25*s - 18*s + 7743 in the form b*s + q and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 10}. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*l - 1 = -3*l - 0*z + 4*z, 7 = -4*l + 3*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of -2\/39*n**3 - 128\/13*n + 3 - 16\/13*n**2. Solve b(x) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11.16543 * 6.\nAnswer: 66.99258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4.4 and 25.27.\nAnswer: 29.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4414, -3, 29, 13 in ascending order.\nAnswer: -3, 5, 13, 29, 4414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (108*w + 1 - 10 - 325*w + 9)*(11*w**3 + 5*w**3 + 4*w**3).\nAnswer: -4340*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 259 = 82. Let n = x - 211\/6. Calculate the common denominator of n and -89\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -973760 divided by -10.\nAnswer: 97376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -317*d + 44*d - 3276 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -208 - -202. Let k(s) = 5*s**3 - 24*s**2 - 165*s - 224. Let q(j) = j**3 + 3. Let f(w) = z*q(w) + k(w). What is h in f(h) = 0?\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 171726626*z**6 + 2701651*z**2 - 13*z wrt z?\nAnswer: 20607195120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -1782*g**2 - 11*g + 11*g + 590*g**2 - 798*g**2 as t*g + l*g**2 + q and give l.\nAnswer: -1990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004858 to 5 decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1013040435 + -111?\nAnswer: 1013040324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*m - 2*z, z = -2*m + 6*m - 14. Suppose -m*a + 8*a + 178 = 2*j, j = -3*a + 64. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -851*d = -733*d + 4299 + 5613 for d.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 753931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182 = 8*o - o. Let r be -1 - -2 - (-48 + -3). Suppose 5*b = b + r. Calculate the greatest common factor of o and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 216 - 211. Suppose 15 = -4*c + 3, k*g - 19 = 3*c. Sort -6, g, 6 in ascending order.\nAnswer: -6, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of b**3\/3 + b**2 - 3*b - 1. Let n be 1 + -2 + -8 - -3. Let j be 4\/n*(0 + 6). Determine q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*p + 1547 = 200*p + 7*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 59*i**2 - 632*i - 438. Give u(11).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*s - 6*s + 4*s)*(3 - 1 + 1)*(-3*s - 2*s + 0*s) + (-3*s + s + 0*s)*(-7 + 7 + 11*s) to the form a*s + v + k*s**2 and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 x when three letters picked without replacement from {x: 6, w: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2*z**3 + 316*z**2 + 631*z + 1458. Determine x(160).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1074 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h + 1. Let i be m(-1). Suppose 1 = 3*k - i*k, 2*q - 3*k = 34599997. What is q rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of -27*b**2\/2 - 15*b + 2883. What is c(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -19*n**2 - 397*n - 2. Let r(g) = -51*g**2 - 1190*g - 5. What is -8*j(c) + 3*r(c)?\nAnswer: -c**2 - 394*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8 + -99633847?\nAnswer: -99633848.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2270734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(6\/5)*n*n\/(n*n**0*n*n)*(n\/(n\/((n\/(n*n**(-3)))\/n)*n*n))\/(n**(-1\/6)*n*n))**(-18) assuming n is positive.\nAnswer: n**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*h + 82 = -176. Solve -10*i - 24 - h = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahhh. Give prob of sequence hh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(264)\/((sqrt(84) - -5*sqrt(84))\/sqrt(7)))\/((sqrt(275) - (sqrt(275) - (sqrt(275) - 3*sqrt(275))) - sqrt(275))*2))**2.\nAnswer: 1\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 770 = 15*n - 123*n - 2*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + k + 49 + 15, 3*k = -12. Suppose -5*g + 13 = -3*h + 4*h, 3*h = 4*g + 58. Calculate the greatest common factor of t and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 351 (base 14) in base 6?\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m + 4*m - 176*m**3 - 7*m + 19 - m**2 + 6*m**4 - 20 - 2*m**4 to h*m**3 + s*m**2 + n*m + b + y*m**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 210\/126*((-3)\/5)\/(46\/782)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -6.2, 4, -2\/5, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3036, 4, 2, 14, 3 in increasing order.\nAnswer: 2, 3, 4, 14, 3036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 40254805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -128 - -169. Find the first derivative of -i*j**4 - 44 + 84 - 13 wrt j.\nAnswer: -164*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -6*s + 312. Let n(t) = t**2 + 3*t - 5. Let r be n(-6). What is the highest common divisor of r and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -598, -578, -510, -370, -134, 222, 722?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 12:37 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 + -11. Let p(b) = -4*b**2 - 2. Let v = -18 + 9. Let c = -11 - v. Let j(k) = -k**2 - 1. What is c*j(l) + u*p(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 792*g**2 - 1087*g**2 + 2506*g**2 - 1.\nAnswer: 627*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + 974f8e?\nAnswer: 974f8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y - 3*y - 3*y + 3*y - 4*y + 14*y + 2*y + 0*y - 3*y + (-y + 0*y + 3*y)*(-4 + 1 + 5) - 1 - 2*y + 1)*(3*y + 3*y - 7*y).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 - 79*q + 527. Determine l(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -304*o**2 + 1349 - 1349 - 1914*o**2 - 1387*o**2 as u*o + t + p*o**2 and give p.\nAnswer: -3605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468) + -5*(2 + sqrt(468))**2)*-5 + ((sqrt(468) - -3*sqrt(468)) + -4 + sqrt(468) + 1 + sqrt(468) + 1)**2.\nAnswer: 426*sqrt(13) + 28652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g**3 + 12*g**2 + 8*g + 5. Give r(-5).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -64992 (base 14) in base 16?\nAnswer: -3b6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 84085, 167514, 250943?\nAnswer: 334372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 891 - -101. What is the greatest common factor of o and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3826256 by -2032.\nAnswer: -1883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.7 - -1. Let r = -79 + 78.9. Let y = r + 0.1. Which is bigger: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2214 + -6770\/3. Let n = -628\/15 - p. Factor -4\/5 + 3\/5*a**2 + 1\/5*a**4 - 4\/5*a**3 + n*a.\nAnswer: (a - 2)**2*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + c = 2*k - 3665, -5*c = 0. Let r = -425 + k. Suppose r = 5*f - h, -f = 2*f - 5*h - 176. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 36*w = -189, -776439 = 5*v + 5*w - 776809 for v.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 203*y - 331?\nAnswer: 203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*i**3\/2 - 68073*i**2\/2 + 401373765*i\/2 - 170860280175\/2 = 0. Calculate i.\nAnswer: 461, 11115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k + 45, 4*r - k + 25 = 36 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/502 and 5\/502?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9)\/12 - 33\/(-44). Suppose 20*w - 52 + 32 = q. Solve 3*y = 3*h - 21, 4*h + w = -4*y + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -s - 0*s. Let d = s - 5. Does 15 divide ((-16)\/20)\/(d\/(-75))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + l = 13 - 41, 5*v + 2*l - 79 = 0. Suppose v + 285 = 10*w. Suppose -9822 = -36*o + w*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 27\/4*b + 3\/4*b**2 + 6.\nAnswer: 3*(b + 1)*(b + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 20*c*s**2 + 2*c*s + 7981*c - s**2 - 24*s wrt s?\nAnswer: 40*c*s + 2*c - 2*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -622*v - 28. Let z(g) = 207*g + 10. Calculate -6*y(w) - 17*z(w).\nAnswer: 213*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*u**2 - 2*u**2 + 0*u**2 + (3*u + 2*u - 7*u)*(-16*u + 23*u + 17*u).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2062 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: Solve 720*r - 7476 = 1164 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4109, 4115, 4121, 4127?\nAnswer: 4133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -342 = 2078*b - 1048*b - 1042*b + 54 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -807096*q + 1. Determine a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.845968 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 1184*q**2 - 50194*q - 37969. Calculate l(1225).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10946 + -7131. What are the prime factors of z?\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 340 = -d. Let n = -58 + d. What is the smallest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, q: 2, o: 1, n: 3}. What is prob of sequence xq?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16?  (a) -3  (b) -54  (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 30744 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by 43?\nAnswer: 8\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wqq when three letters picked without replacement from {q: 7, w: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -446?  (a) -1\/4  (b) -1\/5  (c) -9  (d) -2\/23  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 divided by -2289?\nAnswer: -23\/2289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 - 18*c**2 - 7*c - 10. Let y be t(-17). Is -179 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 110 and 95360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of -q**3\/3 + 17*q**2\/2 - 9*q. Let t be r(-7). Let v = t + -21. Calculate the highest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 11) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 1 - 2)*(-4 + 6 + r**2 + r**2)*(4 - 3 + 4)*(15 + 16 - 36 - 2 + 3 + 5 + (-2 + 2 - 2)*(-5 - 7 + 2)) as z*r**2 + s + a*r and give z.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 10, -2, 3, 1 in decreasing order.\nAnswer: 10, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 11*k**2 - 7*k + 14*k - 8*k. Suppose -5*q = -5, 5*u + 2*q - 6*q + 9 = 0. What is the smallest common multiple of 10 and v(u)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1965*h + 5*h**3 - 13*h**3 + 10*h**3.\nAnswer: 2*h**3 - 1965*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23974*l + 43503*l + 28464*l.\nAnswer: 47993*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j - 1. Let h(n) = 2*n**2 - 4*n - 3. Suppose g - 1 = 1. Let r be g\/(-6)*(1 - -8). Determine r*f(s) + h(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + p)*(-p**2 - 6 + 6) - 5*p**3 + 15*p**3 + 17*p**3 + 3*p**3 + 3*p**3 - 7*p**3 - 3*p**3 - p**3 + 3*p**3.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 946 = 24*g. Let t(x) = -11*x + 3. Let l be t(4). Let w = l + g. Solve -p = -w*n + 12, -n + 2*p - 4 = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -14. Let y = 25 - o. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3096)\/(-3612))\/((-30)\/14)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + -7. Let v = -6.5 - w. What is the closest to 0 in 2\/13, -0.07, v?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14091 or -13914?\nAnswer: -13914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g - 5. Let l be x(-5). Let h(t) = -t**3 + 4*t**2 - 6. Let m be h(2). Solve -12 = -m*b + u - l, 5*u - 1 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k*k\/(k**(1\/3)*k)*k))**18\/(k*k**(1\/4)*k**(-2\/13)))\/(((k\/k**6)\/k)\/((k\/k**4)\/k)*k**(-1\/12)*(k**(-1\/6)\/k)\/k) assuming k is positive.\nAnswer: k**(-115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 50981287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 316*u + 92*u = -3672 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11095711\/54558 + 8427\/433. Let m = -1231\/7 - r. Find the common denominator of m and -83\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 93 + 523?\nAnswer: 5b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 140 - 27 = 3*k, k + 173 = -4*c. Let g = -4615 + 4681. Let n = g + c. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29467 is divided by 225.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -242, -1945, -6576, -15599, -30478, -52677?\nAnswer: -83660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -461.0714 - -461. Let w = u + 0.1714. What is the closest to 1\/4 in 2\/9, w, -2\/19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2792 is divided by 309.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 100 - 18. List the prime factors of r.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of 7*z**4\/24 - 2*z**2 - 5*z. Let x(a) be the first derivative of t(a). Let h(r) = 2*r**2. Determine h(x(j)).\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6208 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*f*n**2*r - 29*f*n*r - 2*f*r**3 - 123*f - 718512*n**2*r**4 + n**2 + 2*n*r + r wrt r?\nAnswer: -12*f*r - 8622144*n**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - 4. Let p = -2 + t. Is 0 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1804*f + 4521*f - 515*f.\nAnswer: 5810*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 AM and 2:24 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, -4, -1 in decreasing order.\nAnswer: 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 5. Let h(c) = -j*c + 3*c + 3*c. Let t(u) = -8624*u + 4308*u + 4311*u. Determine h(t(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 - b - 3. Let x(p) = 3*p**2 + 3*p + 10. Let v(n) = 19*h(n) + 6*x(n). Give v(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 811.\nAnswer: -4\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-3 + 2 + (sqrt(539) - (sqrt(539) + 0)*2 - (-3 + sqrt(539) + 4))))**2.\nAnswer: 1400*sqrt(11) + 54000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 110052 (base 10) in base 11?\nAnswer: 75758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -308 - -424. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/(-2 + -1)*-1. Let p be (-5)\/(-10) + (-9)\/(-2). Solve -10 = p*i - q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*q**2 - 17*q**2 + 6*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - 80\/64)*8\/3. Let k = -5 - -10. Solve 0 = -5*w + 4*h - k, 3*h + 35 = -2*w - m*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 + 12 = -4*t - 4*m, 12 = 4*t - 4*m. Sort 2, -5, 3, 0, t in descending order.\nAnswer: t, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z - 17. What is the tens digit of y(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = 2*h - x + 123, -2*h = 3*x - 49. Suppose 2*u - h = 126. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4563610 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3224907, 3224946, 3225003, 3225072, 3225147, 3225222?\nAnswer: 3225291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3131*k**2 - 7764.\nAnswer: -6262*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26\/67 - 1315\/3216. Put 1, 2\/9, q, 0 in ascending order.\nAnswer: q, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -15  (b) -23  (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -0.5, -0.07, -13, 1\/31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106896 = -18*c + 35*c. What is c rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*301\/(-1032))\/(7\/(-2)*1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.075554 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-10) + 3120\/3600)*30?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -19*330\/855*54\/33\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 70601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/2  (b) 0.15  (c) 19  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -442, -476, -532, -610, -710, -832?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 5:23 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 646920 and 540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -26  (c) -0.09  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 38*i**3 + 41*i**3 + 30*i**2 + 23*i**3 + 108*i**3 - 1 wrt i.\nAnswer: 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -83 in 185, 0.3, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/2  (b) 2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -972951\/7832 + 11656\/89. Let z = -29\/11 - l. Find the common denominator of -47\/4 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89945?\nAnswer: 5, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of -s**6\/480 - 3*s**5\/40 - 5*s**4\/8 - 113*s**3\/3 - 154. Let k(j) be the third derivative of c(j). Let k(r) = 0. Calculate r.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.226 and 0.4.\nAnswer: -0.0904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cwaw when four letters picked without replacement from acaacawaaw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 + 4*f**2 - f - 3. Let q be t(3). Suppose -4*l = q*p + 1, -6*p - 15 = -p. Find the third derivative of 0*m**3 + m**3 - 2*m**l + m**3 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171 = 5*c + 56. Let m = c - 20. Suppose 0*b - 5*d - 74 = -3*b, 5*b + m*d - 78 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 0*r = 47031. Let v = -24931 - r. Round v to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of -2*f**4\/3 - 52*f**3\/3 - 44*f**2. Let d be b(-8). Solve -23*h = -d*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*i + 3*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/37, 6, 0.211, -0.024, 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1932, 7387, 16376, 28905, 44980, 64607, 87792, 114541?\n\"Answer: s**3 + 1761*s**2 + 165*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-12)*(-36)\/12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2366050013 to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2054893.\nAnswer: 181, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12464 - -12755. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9681*b**4 - 1745 with respect to b.\nAnswer: -38724*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -5202 and -23196 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - 37*b**2 + 94*b + 1199. Give d(-39).\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13\/272 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -149 - -138. What is the third smallest value in -0.3, o, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -167.2 + 173. What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-494)\/3610*1610\/6279?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.03 + 1.03. What is the second biggest value in y, 3\/8, -2\/19?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -2*a**5\/11 + 80*a**4\/11 - 522*a**3\/11 - 5612*a**2\/11 - 8464*a\/11 = 0.\nAnswer: -4, -2, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, b: 1, m: 4}. What is prob of sequence gg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 315*w**2 + 320*w**2 + 931*w**3 - 635*w**2 - 6279*w**3.\nAnswer: -5348*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/81 and 31\/88875414.\nAnswer: 266626242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -10044\/29905 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 26, -157, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23486365*c - 4*c**3 + c**3 + 23486365*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 12337  (b) 2  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -5*j + 3 + j**2 + 10*j + 2 - 2*j. Let k be d(0). Sort -3, -1, k, -5.\nAnswer: -5, -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144793549.5 + 24772.\nAnswer: 144818321.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 87806.2 nanograms?\nAnswer: 0.0878062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + -3)\/((-1045)\/(-38))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -33 - -30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 135972950.\nAnswer: 2, 5, 2719459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-5))\/(1034\/(-940))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*f - 14*f - 68 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (12 + -16 + 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -89 - -92. Suppose 0 = -3*j - 4*a + 448, b*j - 2*a - a - 483 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22295 (base 14) to base 11\nAnswer: -57272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 + 2*d**2 - 2*d + 4. Let w be b(-3). Suppose -34*y + 26*y = -8. Is w less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 56.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -127*u - 38 - 12 + 118*u. What are the prime factors of g(-26)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10623290 less than or equal to 10623287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -755*r**2 + r. Let y be h(-1). Calculate the common denominator of 71\/6 and 4\/(-10) + y\/160.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1333 (base 4) in base 10?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28913)\/6979 + 4532\/(-77).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -14, -29334040 in ascending order.\nAnswer: -29334040, -14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 5*w - 3. Let h be k(3). Let u(s) = -7*s + s + h*s + 2*s - 4. Let j be u(-8). What is the greatest common divisor of j and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -169215 or -1522933\/9?\nAnswer: -1522933\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -6*r - 63. Determine i(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/((u\/((u*u*u**13)\/u))\/u)*u*u*u*u**9)\/(u**(2\/7))**(-18) assuming u is positive.\nAnswer: u**(225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((12*(-513)\/1458)\/((-2)\/(-9)))\/(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/50*70)\/(21\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 42 and (115\/46 + -3)\/((-1)\/18).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -207 = 14*d - 151. Let y be d + (-14)\/(-21)*14. Determine q, given that 88\/3*q - y - 12*q**4 - 172\/3*q**2 + 46*q**3 = 0.\nAnswer: 1\/2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 + 2 = -5*b. Suppose 3*o - r + 2*r + 33 = 0, 5*o + b*r + 59 = 0. Let l be 5 + (-11)\/(55\/o). Solve -l = j - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*n = 170 - 845 + 12 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of o**3\/6 + 8*o**2 - 3*o. Let u be i(0). Suppose -5*y + f = 6 - u, -4*f - 20 = 0. Which is bigger: -1\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -105, -205, -295, -369, -421?\n\"Answer: z**3 - z**2 - 104*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 18 - b - 605784*b**2 - 10*b + 3*b - 4*b - 2*b. Let j be n(11). Round j to the nearest 1000000.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 225 + -130. Suppose -6*u = -u - t. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 631295069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -177 + 254. What is the greatest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0  (b) 2  (c) 15  (d) -1  (e) -3\/26  (f) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1957, 1990, 2023, 2056, 2089, 2122?\nAnswer: 2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (100 + 70 + 77)*(30*t**4 + 53*t**4 - 31*t**4).\nAnswer: 12844*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of -3237*d**5\/10 + d**4\/12 - 87*d**3\/2 - 7*d**2\/2 - 6594*d. What is the third derivative of w(t) wrt t?\nAnswer: -38844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 3*r. Let h be w(-1). Let s be h\/1*(24 + 8\/2). Let f = 139 + s. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*a + 57 = 3*t, 0 = -38500*t + 38498*t + 3*a - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 5*l**4 + 3*l**3 - 14*l**2 - 3*l + 6. Let w(g) = g**5 - g**3 - g**2 + g - 2. Let v(y) = -u(y) - 3*w(y). What is the third derivative of v(q) wrt q?\nAnswer: -180*q**2 - 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1948 and 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -338, -341, -344?\n\"Answer: -3*o - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1363359.\nAnswer: 3, 454453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**2 + 22600*n + 45204 = 0. Calculate n.\nAnswer: -2, 22602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 22*u + 696 = 0. What is the remainder when u is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -206.033 - -206. What is the closest to x in 0, -5, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200144 at most as big as 200151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p**4 + p**2 + 2*p + p**3 - 7*p**3 + 8*p**3 - 12*p**4 to g*p**3 + m + f*p**2 + h*p**4 + k*p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 31099 and 28375.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.043 and 0.6.\nAnswer: 0.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1434, 1400, 1342, 1248, 1106, 904?\n\"Answer: -2*s**3 - 20*s + 1456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1427, 655, -121, -901, -1685?\nAnswer: -2473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + 76. List the prime factors of s(0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19832 is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 25 + y - 7*y + 6*y + 15*y**2 wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -77 divided by 2\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 6*q + 88. Let p(a) = -35 + 8179*a - 8183*a - 24. Give -7*p(y) - 5*r(y).\nAnswer: -2*y - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 227\/6 + -24313\/642. Is 0 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -342395\/9 - -38094. Let n = v + -50. Which is the biggest value?  (a) -0.4  (b) n  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 - 1)\/(-2*3). Let t = -38 - -11. Let g = t - -26. Which is the nearest to g?  (a) -2  (b) 2\/11  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 327\/22  (c) 0.3  (d) -0.581  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u = 424 + 146. Suppose -q = 4*q. Calculate the remainder when u is divided by ((q - 0) + 5)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -436*r + 436*r - r**2 - 5.\nAnswer: -r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 205*k - 182*k + 32*k.\nAnswer: 55*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 1. Let c = 0.33 + -0.3. Let z = 0.43 - c. Sort l, z, 5.\nAnswer: l, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 1:28 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7590 and 2745688?\nAnswer: 947262360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -31\/5  (b) 2\/15  (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-67)\/(-22) + (-6)\/4 - 1\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 769*u + 88*u + 1242*u - 427*u.\nAnswer: 1672*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1297 - 1300. Sort n, -30, 0 in decreasing order.\nAnswer: 0, n, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -32?  (a) -4  (b) 3  (c) -0.1  (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -2. Let n(m) = -m**3 - 4*m**2 + 2. Let c be n(-4). Suppose b - c = -2*g, -2*g - 3*g - 8 = -4*b. Solve -p*z - b*z + 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -292 divided by 1343.\nAnswer: -292\/1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 0 + (11 + -6 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 95484167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -20 at most -28\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1125 and 45.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 7*y**3 + 7*y**2 - 8*y + 11. Let d(z) = 3*z**3 + 3*z**2 - 4*z + 5. Suppose 0 = -3*f - 3 + 9. Let j(t) = f*h(t) - 5*d(t). Determine j(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -40\/29?  (a) 0.4  (b) -74  (c) 0  (d) -4\/9  (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + 4017?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -629856 - 398092*n - 122*n**4 + 12*n**4 - 3*n**5 - 58320*n**2 - 4968*n**3 + 83164*n - 88*n**4 = 0?\nAnswer: -18, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 34*v - 33*v. Which is the closest to 0?  (a) 2  (b) v  (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 7:54 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 937*b**2 + b + b + 78 - 76 - 875*b**2 - 13*b.\nAnswer: 62*b**2 - 11*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -5.8  (c) 0.6  (d) -4  (e) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/2)\/u)\/u*u*(u\/(u*u**(2\/9)\/u*u))\/u*u**(-30)*u*u*u*u*u*u**(2\/5)*u*u*u assuming u is positive.\nAnswer: u**(-2189\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5677*i**3 + 7*i**2 - i + 1680.\nAnswer: -34062*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 48*c - 10 + 13 - 4. Suppose 5*o + 0*n - 3*n + 1 = 0, 11 = 3*o + 4*n. Is 11 a factor of y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -3\/8  (b) -22  (c) -0.2  (d) 0.4  (e) -396  (f) -2\/7  (g) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44221548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3595, -7125, -10681, -14275, -17919, -21625, -25405, -29271?\nAnswer: -33235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -s + 2*g, -14*s = -19*s + g + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.17 - 0.2. Let b = -0.31 + o. Let h = b - 1.13. What is h rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/6*8\/1. Let j(b) = b**2 + 2*b - 4. Let w be j(-4). Solve -s*i = -2*h + 14, 3*h - 1 = -2*i + w*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.08 + 0.1. Let q = y - 0.32. Let f = -0.1 + q. Which is the closest to 0.1?  (a) f  (b) 2\/17  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 8350.745t?\nAnswer: 8350745000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 28, -40, -194, -446, -808, -1292?\n\"Answer: -2*j**3 - 31*j**2 + 39*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -2 - 1 - ((36 - 47) + 30 + 46)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 38 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10063 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 508385036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5 = y + 23, 2*y + 4*m + 20 = 0. Let s be 2\/7 + (-52)\/y. What is the third derivative of 94*f**s - 3*f**2 + 2*f**2 - 112*f**4 wrt f?\nAnswer: -432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -37858 + 37878. Solve -17*i + 10 = -m*i - 4*h, -10 = -i + 2*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 543 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -33*43\/8514*-4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 4*a = -1. Let q be (a + 0)\/((24\/140)\/6). Let c = q - -8. List the prime factors of c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001957 rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -279774, -559562, -839358, -1119162, -1398974, -1678794?\n\"Answer: -4*s**2 - 279776*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d - 6. Let a be h(-14). Let v = -56 + 73. Differentiate -33 + a*f**3 + v + 4*f**3 with respect to f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of q**5\/5 - 79*q**3\/3 - 51*q**2\/2 + q + 103. Find the second derivative of r(w) wrt w.\nAnswer: 12*w**2 - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -895 divided by -22\nAnswer: 895\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -44*a. Let q(g) = -23 + 119*g + 8 + 15 + 7 - 5. Determine s(q(l)).\nAnswer: -5236*l - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -0.8  (b) 0.3  (c) 5  (d) -3\/8  (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of -n**4\/4 - 2*n**3 - 3*n**2 - 5*n - 3. Let y = 8 + -13. Let s be v(y). What is s rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3220*i**3*j**2 + 4*i**3*o - 6*i**2*j - 2*i**2 + 3*i - 3*j**2 - 62*o wrt i?\nAnswer: -19320*j**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g - 6*g + 21*g to the form z*g + y and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13096876*b**3*x - 9225168*x wrt b.\nAnswer: -39290628*b**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 10*s - 14. Let h(r) = -3*r + 5. Let u(c) = 11*h(c) + 4*z(c). Let d be u(7). Is d + (-1)\/((-2)\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k - 15. Is g(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 + 29. Let p be 1\/(r\/(-3)*4\/(-32)). What is the nearest to 2\/7 in 5, p, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 5) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - f + 2 + (3 - 2 + 2)*(3*f + 0*f - f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.885281254 - 4946?\nAnswer: -4946.885281254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 2863 = -3*d, -3*n - 1567 = -4*d + 2250. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5\/4  (b) -0.46  (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -17, -45, 6, -19 in descending order.\nAnswer: 6, 5, -17, -19, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 71, 171, 311, 491, 711, 971?\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 AM and 10:12 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 plus 0.125?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*24\/(-90)*3*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -497334000 rounded to the nearest 1000000?\nAnswer: -497000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 20\/(-50)*(-10)\/(80\/12)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of -36*z**4 - z**2 - z - 3. Let l be m(-1). Suppose 0 = -4*g - 2*b + 107 + 467, -2*b = g - l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 2047953*i + 3*i**2 - 9 + 1024010*i + 1023943*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 10*1029\/(-3185)*13\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48846392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ek when two letters picked without replacement from kekke?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23\/4 + -107\/20. Let n = 0.66 - 5.66. Let l = -0.06 + 5.06. What is the closest to 2\/15 in a, l, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = x - 430, 8*x - 5*x = 3*l + 1302. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -4. Suppose 39*p + 75 = t + 41*p, 3*p = -5*t + 375. What is the first derivative of 24*h**b + 172*h**3 + 22 - 172*h**3 - t wrt h?\nAnswer: 96*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59907269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-354)\/(-40) - -1 - (-118 - -122) and 35\/404.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.784, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 6*k - 20. What is the smallest common multiple of 49 and w(8)?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 68*c**4 - 46*c**3 - 68*c**2 - 6*c - 6?\nAnswer: 1632*c - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34775\/6 + -6537787\/1128. Find the common denominator of d and -11\/72.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 + 9*l**2 - 11*l - 8. Let o be m(-10). Suppose 3*c = 4*i - 0*i + 191, 3*i = o*c - 128. List the prime factors of c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*j = 65*j. Let r(n) be the third derivative of 0*n + 0*n**3 + 1\/24*n**4 + 11*n**2 + j. Let c(v) = -2*v**2. Give r(c(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 9, j: 1, q: 5, d: 4, s: 1}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3651811573 + 31*i**3 - 3651811573.\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 - n + 20. Let h be z(0). Suppose 0 = -3*a + 3, 5*g - 78 + h = 2*a. Let u = -10 + g. Calculate the remainder when 7 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3 - 9*v**2 + 590070*v + 1180152.\nAnswer: -3*(v - 443)*(v + 2)*(v + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (-19 - -38)) + (-5 - -21) - 72?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12\/23 in -15, 0, -39, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3002 and 11692.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -96 by 13470729.\nAnswer: -32\/4490243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2041*y + 500*y + 1058*y - 872*y**4 wrt y.\nAnswer: -10464*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 275873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k**2\/4 - 21*k\/4 + 9\/2 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.075 * 2\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*u - 6. Suppose -2*v + 0 = u. Is v - 3 - (-960 + -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**2 - 2*d - 1. Let j be k(2). Suppose 2*x + 3*g = -j*x + 15, 0 = -4*x + 2*g - 10. Let n = -68298 - -68300. Solve x*r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -15*j**3 + 203*j**2 + 22183.\nAnswer: -45*j**2 + 406*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 222 (base 12) to base 16.\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(98) - sqrt(98)*2)\/sqrt(7))\/(-1*sqrt(128)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the second derivative of 443*b**7\/14 - 199*b**3 + 33*b + 3. What is the second derivative of h(g) wrt g?\nAnswer: 26580*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y + 11. Determine z(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.3  (b) -44.31  (c) -1\/3  (d) 80  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 473*d - 65 = 476*d + 7 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.99 and -5.\nAnswer: 24.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 451*q**2. Let y(k) be the second derivative of -k**4\/12 + 4*k + 367. What is h(y(t))?\nAnswer: 451*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -584*z - 25142*z + 322772 + 268926 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 334.0346nm?\nAnswer: 0.3340346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.6+2166\nAnswer: 2165.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 8, -1\/4, -2, 0.105, 1.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -25*g - 1. Let r be d(1). What are the prime factors of -1 - ((r - 2) + 4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 7 = -0*c. What is the tens digit of (c - 2) + 7\/((-35)\/(-170))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 345 = 4*k + 148, h = -3*k + 145. Solve -18*i - 30 = -k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*b**3 - 9032000*b**2 - b + 31820173 wrt b.\nAnswer: -6*b**2 - 18064000*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -3*n - 5*n - 26 + 61 + 28*n**2 - 24. List the prime factors of y(4).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -12*a - 4 + a**3 + 4 + 2 + 9*a**2. List the prime factors of q(-10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 3*l**2. Let q(r) be the first derivative of -r**2\/2 + 19. Determine o(q(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31.57 - 3.67. Let x = -29 + h. Let i = -0.8 - x. Which is the biggest value?  (a) 0.5  (b) -2\/9  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48682925 and 15975?\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -26953 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 84512015 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(51)\/sqrt(3))**2 + sqrt(17) + -1 - sqrt(17) - sqrt(17)).\nAnswer: -sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.08472 * -8\nAnswer: 0.67776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 PM and 2:56 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 304 + -172. Let v(s) = 93*s**2 + 1. What is the remainder when v(-1) is divided by k\/6 + (-2)\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2289 - -27395\/12. Let i = 1006783375511\/2384002170 + 28\/12040415. Let a = i + -4690\/11. Find the common denominator of a and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 29*d - 51. Give x(28).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2102*w - 23. Let l(h) = -10*h + 4. Calculate -6*l(v) - s(v).\nAnswer: 2162*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3\/4  (b) -542  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-55)\/(-15) + 10\/(-15). Suppose 5*q - 503 = 4*g, -o*q - 272 = -5*g - 891. Which is the closest to g?  (a) -4  (b) 0.1  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 255 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 + 8*a**2 - 19. Calculate the smallest common multiple of 10 and x(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 5*w + 241. Let k be t(-48). Let z(j) = 4*j**2 + 3*j - 5. Let b be z(k). Solve -b*u - 10 = 0, -2*x + u = -0*u - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -3*t - 4 - 6, 0 = 4*t - 2*k + 50. Suppose 0 = 5*j + 3*y - 97, 1 = 3*j - 5*y - 30. Let f = t + j. What is the highest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -12. Sort -3, 5, o.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 791, 34 in descending order.\nAnswer: 791, 34, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, g: 1, t: 2}. What is prob of sequence tq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 255 - 136. Suppose 3*m - 2*q + 401 = 6*m, -m = -3*q - j. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 204217 and 69.\nAnswer: 612651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 106 + 286. Find the first derivative of 45*p + 24 + 38*p - k*p wrt p.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -41*k**2. Let j(a) = 3*a**2. Calculate j(r(d)).\nAnswer: 5043*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 10*k - 8. Let j be ((-3)\/(-2))\/(1\/6). Let f(u) = 4*u + 21. What is the remainder when f(j) is divided by r(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 3:34 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - 1 - (-60 + 35 - -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/45 + (-2 - 802864\/420). Let d = 1915 + z. Suppose -d*k**2 + 6\/7*k + 3\/7 = 0. What is k?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + p = 7 + 3, -7 = 5*c + 2*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**0\/a))**(-1\/10)\/((a\/((a\/(a\/a**(-5)))\/a))\/a*a**4))\/(a**11*a*a**(-13))**(33\/2) assuming a is positive.\nAnswer: a**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 566?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 0*j - j - 21*j**2)*((2*j + 0*j - j)*(-1 + 5 - 2) - j + 0*j + 2*j).\nAnswer: -63*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.064 - 9.136. Let m = z - -2.7. Let v = m - -6. What is the biggest value in v, 1\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2 - 722*s + 719*s + 2 + 6 - 12*s**2. Let b be n(-4). Let o = 320 + b. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4b99 (base 16) in base 12?\nAnswer: -b249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + i**2. Let s be g(1). What is the first derivative of 5 + 2 + 3*v**s + 0*v**2 - 2 wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -0.04, -2\/7, 272, 9\/5, -2\/49?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-3 - -13 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 18 + bc91b?\nAnswer: bc935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 2\/21, 349, -2\/7, 90.8?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 110633 and 1268?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-78)\/(-26))\/(2 + 1). Suppose -5*u + 14 = -f. Suppose -133 = -u*d + 299. Calculate the highest common factor of d and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -62341*n**4 + 46860 wrt n.\nAnswer: -249364*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 + 6)\/((-4)\/(-2)). Suppose 0 = -s*a + 4*z + 58, -2*a + a + z = -12. Suppose a*g + 408000 = 14*g. What is g rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*c**2 + 13317 - 14364 + 6*c**2 + 6*c**2.\nAnswer: -c**2 - 1047","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -18*f**3 - 5*f**2 + 31. Let h(i) = i**3 - i**2 - 2. Let v(j) = -6*h(j) + k(j). What is the first derivative of v(c) wrt c?\nAnswer: -72*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of -1\/24*u**4 + 0*u - 1\/120*u**5 + 0*u**2 - 2 - 5\/3*u**3. Let t(f) be the third derivative of h(f). What is t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**2 + 2*j - 6. Let s be k(0). Let m(w) = -w**2 + 5. Calculate m(s).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4984 divided by -356?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -309*v + 65792 = -2056420. What are the prime factors of v?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -339794*p**5 + p**4 - 3599126*p wrt p.\nAnswer: -6795880*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t = 16*t - 36. Let w(z) = 4*z**3 - 72*z**2 + 15. Let j be w(t). Solve 3*m = -2*m + j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5186*m - 1616*m - 1964*m + 17 - 2160*m to o + q*m and give q.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -17034259*o**4 - 11270820?\nAnswer: -68137036*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - 5*p - 2. Suppose -2*g + 4*l + 8 = 5*l, -5*l - 20 = 0. Let a be h(g). What is the first derivative of -2*d**2 - 4 + 3 - 1 + a wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate w**2*x**2*y - 105*w**2 - 743*w*x*y - 25*w*y + w + 13*x**2 + y with respect to x.\nAnswer: 2*w**2*x*y - 743*w*y + 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2130209141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1651523*x**3 + 2*x**2 - 65*x - 16 + 3 - 1651519*x**3 + 507*x**5 wrt x?\nAnswer: 30420*x**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 725950 divided by 29038.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3430.5 + 3430. Which is the closest to 2\/9?  (a) 2\/101  (b) 2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13457080 is divided by 260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -v + 3*d + 1, -5 = -5*d. Let q(u) = -u**3 + 11*u - 3. Let s be q(v). What is the highest common divisor of 374 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 - -16. Let p(v) = -v. Let j(x) = -9*x - 8*x + 5*x - 1. Calculate z*j(r) - 22*p(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -12*k**3 + 1319*k**2 + 123*k - 446. Give b(110).\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3846484 divided by -4?\nAnswer: 961621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1134972569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2164.112 nanoseconds?\nAnswer: 0.000002164112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k + 1. Determine o(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/5 - 404*s\/5 + 1194\/5.\nAnswer: 2*(s - 199)*(s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from spnpssnsssns. What is prob of sequence pnn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/3*(0 + (-46)\/(-18))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2136278 - 238089 = 47*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2175 - 961 + 478 = -443*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 135501?\nAnswer: 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 54906*p - 768676. Calculate t(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 70308*s**6 + 71829*s**2?\nAnswer: 8436960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*h + h - 4*h)*(-386 + 222 + 232)*(-3 + h**2 + 3) to v*h + d*h**2 + l*h**3 + q and give l.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300) - (-3 + 5 + sqrt(1300)) - (sqrt(1300) + -5 + sqrt(1300))*1)**2 + -2.\nAnswer: -120*sqrt(13) + 5207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 464046 = -2*b, 0 = 3*q + 2*b - 5*b - 278415. Let w = q - 186808. What is w rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w*w\/(w\/w**39))\/w)\/w*w*w**(-2\/25)*w)**(1\/60))**(-1\/13) assuming w is positive.\nAnswer: w**(-499\/9750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 - (-4)\/6 - 1. Let o = 3.5 - 0.7. Let r = -1.8 + o. Sort -4, r, d.\nAnswer: -4, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2534*i - 1269*i + 8701*i**2 - 1265*i.\nAnswer: 8701*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -8*i + 82. Suppose -3*m = -i - 6. Solve m*q - 12 = 2*f + 23, -q - f = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78\/(-234)*2\/(-2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cctrtzdrzzrrrzzz. What is prob of sequence zrzt?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 972*z + 473539 - 424939 = 0 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -70 + 72. Let p = -7 - -5. Put p, z, 1 in decreasing order.\nAnswer: z, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(3\/7))**(1\/2) assuming r is positive.\nAnswer: r**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 270 - 297 = -2*k - 33*i, -5*k = i + 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 + 28*i**2 + 50*i + 596. What is u(-27)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvzvvppvvvvppv. What is prob of picking 3 v?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -8192412 divided by 682701\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2142 - 0.0458. Round y to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 266461300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of 4*k**2 + 4*k + 16. Let i(b) = 1 - 2*b - 4 - 5*b. Let j = -673 + 676. Give j*l(y) + 4*i(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 170 = -4*b - 5*o, 0 = 5*b - o - 164. Suppose -2*p - 5*s + b = 0, -p + 5 + 4 = s. What is the least common multiple of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*i + 19*i + 9. Let n(z) = 545*z**2 + 9*z. Let j(q) = 272*q**2 + 5*q. Let h(t) = -7*j(t) + 4*n(t). Does 25 divide h(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 x when four letters picked without replacement from vxxvvv.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -328377*c**3*t**2 + 199*c**3 + 129*c**2 + 13*c*t - t - 1 wrt t?\nAnswer: -656754*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -3*x - 4. Let v be ((-9)\/3)\/((-2)\/2). Suppose -2*j = -4, -v*j + 11 = y - 0*j. Suppose 3 - 23 = y*t. Calculate m(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + -4 - -6) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 166006?\nAnswer: 2, 83003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**4 + 3*t**4 - t**4)*(t + 0*t + 3*t) - 119*t + 2*t**5 + 119*t - 19*t**2.\nAnswer: 6*t**5 - 19*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that l**5 + 399*l**4 - 9457*l**3 - 82343*l**2 - 103944*l + 195344 = 0.\nAnswer: -421, -4, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from muuuuunuvnnu. What is prob of sequence nnvm?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -74715 - -0.0575202?\nAnswer: -74714.9424798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - (-4 - (2 - 4)). Let u be (-1)\/(-2)*v*0. Round u to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/5*(13 + 437\/(-19))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of 5\/6*d**3 - 24*d**2 + 0*d + 0 - 49\/24*d**4. Find the first derivative of r(l) wrt l.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (845 + 3390 - 7271 - 17901)*(-3 - 1 + 2*j + 0*j) to the form c + n*j and give n.\nAnswer: -41874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87855*b**2 + 175695*b**2 + 6 - 87845*b**2.\nAnswer: -5*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.92 - 1.24. Let a = 10.08 - w. Let c = a - 11.4. What is the second smallest value in -1\/8, c, 2\/11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*b**2*r**2 - 200*b**2*r - 38*b + 1131719*r**3 + 888*r + 1 wrt r?\nAnswer: 6*b**2 + 6790314*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3. Let k = -2 - 4. Let t be 10\/4*k\/(-15). Let g(s) = -2 + 1 + t + 3*s**3. Calculate 4*g(a) + 14*r(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k - 2*k - 73*k**3 + 5*k - k.\nAnswer: -73*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 - 11*g**2 - 16*g + 46. Let m be z(12). Let l(d) = -3*d - 6. Calculate l(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 637984*q - 8 = 637986*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (20 + 233 + 79)*(1509 + y**2 - 1511 + 0*y - 3*y + (-2*y + 0*y + 0*y)*(-y + 2*y + 0*y) + 2*y - 2*y - 3*y**2) to r*y**2 + m*y + n and give r.\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 87703, 87705, 87715, 87733, 87759, 87793, 87835?\nAnswer: 87885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - -8. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34233 (base 5) to base 4.\nAnswer: 212023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21024?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*f - f. Let i(l) = 4*l. Let b be i(f). Suppose -d + 2*u + u - 14 = 0, 5*d + u - 10 = 0. Sort d, b, -3 in increasing order.\nAnswer: b, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oh when two letters picked without replacement from ohohhhhhhhohohho?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (26\/(-26 + 0))\/((-1)\/797933) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 5*m + 49 = 9, -3*m - 48 = 5*u. What are the prime factors of 2426\/8 + (3 - (-51)\/u)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, -0.073869 in descending order.\nAnswer: 5, 4, -0.073869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 852.5528 centuries in millennia?\nAnswer: 85.25528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -44 + 43.8. Which is the smallest value?  (a) -1\/3  (b) 0.5  (c) -2  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 83 + 19 = 0. Let c = d + 53. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x**4\/4 - 245*x**3\/4 + 62*x**2 + 123*x = 0.\nAnswer: -246, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 220, 2005, -2, -296 in increasing order.\nAnswer: -296, -2, 220, 2005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -161, -4, 0, 4, -493, 5 in increasing order.\nAnswer: -493, -161, -4, -1\/4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/10)\/(12\/25). Let v = 2.8 + -1.8. Which is the smallest value?  (a) v  (b) -5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 761*z**3 - 101*z**3 + 814*z**3.\nAnswer: 1474*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 9:35 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*r**4 + 1342*r**3 - 29269*r**2 + 144138*r + 62424 = 0. Calculate r.\nAnswer: -289, -2\/5, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -9*j**2 - 859*j + 493. Determine m(-96).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 730.552 hours to nanoseconds.\nAnswer: 2629987200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - -110101?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 197*o = -86318 + 82772 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -25, 2435, 8995, 21701, 42599, 73735, 117155, 174905?\n\"Answer: 341*h**3 + 4*h**2 + 61*h - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.19*3\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3238971721 and -1?\nAnswer: -3238971721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 458350802 and 72101?\nAnswer: 458278701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y + 2*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - (-129 - -87 - -38)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j - 5. Determine c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**5 - 1274*k**4 + 2552*k**3 - 2*k**2 - 2551*k + 1276.\nAnswer: -(k - 1)**3*(k + 1)*(k + 1276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3047*f + 3047*f + 166*f**2 + 0*f**3 + 3*f**3 - 166*f**2.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 102099381 or -0.1?\nAnswer: 102099381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 1182 = 3*j + 4*i, 2*i = j - 405. Let o = j - 194. Calculate the greatest common factor of o and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -385282 + 590449. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, n: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(7) + -2) + 5)*3)**2.\nAnswer: -1836*sqrt(7) + 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(572)\/(sqrt(275) + sqrt(11))*-2)\/((-2*sqrt(4)*2 + sqrt(4))*-3).\nAnswer: -sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + 6 - (-4)\/(-2). Let a = d - 1. Suppose -y + 4*o - 3*o + 26 = a, -4*y + 5*o + 106 = 0. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -165 (base 12) to base 6\nAnswer: -1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2733 divided by -3\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-4))\/((-40)\/20)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87579270.\nAnswer: 2, 3, 5, 281, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/53?  (a) 290  (b) 1.4  (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-5))\/(2\/10). Let p be (-188)\/(-36) + w\/9. Find the third derivative of -2*u**5 - 3*u - 2*u**2 + 0*u**p + 3*u wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32 and 872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-4)*(-2112)\/(-7920).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1950, 263, 2476?\nAnswer: 4689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 22, 1, 2 in increasing order.\nAnswer: 0, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/32 - 79\/(-4). Suppose -4 = -4*q - j. Let l = q - -18. What is the greatest common factor of 98 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f + 14 = 406. Let j = 49 + f. Solve j = -q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*((-6)\/(-135))\/(((-432)\/756)\/(12\/(-14)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 4*j + 3*m, 0*m + 16 = 2*j + m. Let h(p) = 27*p + 3. Let n be h(j). Let z = n - 53. What is z rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/26*(-4)\/10*(-20)\/16.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 232532 and 4392?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 0, 4, 3, -13 in descending order.\nAnswer: 16, 4, 3, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24 - -2. Suppose -225 = 140*f - 143*f. What is the remainder when f is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 540543.5mg to grams.\nAnswer: 540.5435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*2*sqrt(704)*-2 + (sqrt(704) - (sqrt(704) + 1 + sqrt(704) + 4)) + -5)**2 + -2.\nAnswer: 2080*sqrt(11) + 119074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7780711 is divided by 2593567?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.7 - -192.7. Let d = i + -186.02. Let k = -0.02 - d. What is the nearest to 0.1 in k, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3181.33 rounded to the nearest ten?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -147.771517 rounded to the nearest integer?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36*v - 55 + 55)*(6*v - 4*v + 0*v) + (-4*v + 3*v + 4*v)*(2*v + 2*v - 3*v) - 3*v - v**2 + 3*v + (3*v - v + 3 - v)*(4 - v - 4).\nAnswer: -71*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -a - 14, -15 = -5*y - 4*a - a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 - 6*c + 2. Let d(k) = 20*k**2 - 3*k - 7. Let l(v) = -11*v**2 + v + 4. Let p(y) = 6*d(y) + 11*l(y). Give -4*p(n) + 5*t(n).\nAnswer: -n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 98 + 2356*u - 7822*u + 31 wrt u.\nAnswer: -5466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 (base 4) in base 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2 + 1465416*r + 20515628.\nAnswer: (r + 14)*(r + 1465402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/25 + 3160\/25. Let a be 23940036\/m - 4\/14. What is a rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 112012101 (base 3) to base 11.\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 58077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 47\/21 + 2\/(-3) - 3?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + 2. Suppose -33 = -5*i - 3*s - 4, i - r = -5*s. Find u such that -17 + 10*u - 22*u**4 - i*u**3 + 27*u**2 - u**2 - 8*u**5 + 13 + 2*u**3 = 0.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3\/434  (b) -167.54  (c) -1  (d) -0.1  (e) 5  (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -10*v + 48. Give g(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2262, -9852, -22506, -40230, -63030, -90912, -123882?\nAnswer: -161946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 smaller than 2801\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 44, 49, 14, -79, -248, -511, -886?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvzvz. Give prob of picking 2 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-328)\/80 + 9 + -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of 1\/5*m**3 - 1\/30*m**4 - 9*m - 2\/5*m**2 + 0. Let r(i) = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 27\/36*(-32)\/(-6). Suppose -2*b - 356 = -i*t - 0*b, 0 = 5*t - 2*b - 444. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1646123 is divided by 493?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5840, 9849, 13858?\n\"Answer: 4009*c + 1831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 37495\/8 + -4687. Suppose 3*f = -2*f - 5. Let s be 0\/(0 + f + -1). Which is the third biggest value?  (a) u  (b) -2  (c) 4  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3101)\/5 + 6\/30. What are the prime factors of n\/15*(-3)\/2?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = b - 5, -2*a + 4*a - 10 = b. Suppose -10 = a*w + 2*p, -8*w + 3*w + 25 = -5*p. Solve -4*f + 2*n + 12 = w, -f = -n - 3 - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -446 - -857. List the prime factors of h.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(-24)*38\/266*2\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 + -1)*(-31 - -32). Suppose -5*f + 3*r = -95, p = -0*f - 4*f + r + 83. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1613686357.\nAnswer: 67, 2437, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.045 + 0.04500176. What is g rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 118305\/20 - (-1 - 5\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7024265, -7024261, -7024257, -7024253, -7024249, -7024245?\n\"Answer: 4*j - 7024269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*(u**(-34)*u)\/u)\/u)\/u*u**21 assuming u is positive.\nAnswer: u**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 - (-3 + 3 + 1). Let n = 1.851 - -4.149. What is the biggest value in n, d, 3, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*u + 5*u**3 + 5*u + 2902*u**2 - 14*u - 2900*u**2.\nAnswer: 5*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 12 = -2*t, -z - 13 = 4*z + 3*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -7, 54, -3 in increasing order.\nAnswer: -7, -3, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, 415, 45, -12, -4 in increasing order.\nAnswer: -12, -4, 31, 45, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 11301 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 3*o + 33. Suppose -2*c = -5*i + 2*i + o, -2*c = -5*i + 51. What is the remainder when i is divided by 100\/17 - (-4)\/34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41776 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 8 + 0 = -766*o - 759*o + 1530*o, 2*o - 16 = -2*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 47190936721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3677, -3676, -3675, -3674, -3673, -3672?\nAnswer: -3671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -3*l**2\/5 - 1719*l\/5 - 20196\/5 = 0.\nAnswer: -561, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 10313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 486, 483, 478, 471, 462?\n\"Answer: -z**2 + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of 3*o**4\/32 + o**3\/4 - 3*o**2\/16 - 3*o\/4 + 20. Factor v(a).\nAnswer: 3*(a - 1)*(a + 1)*(a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of -j**4\/24 + 31*j**3\/6 - 27*j**2. Let o be r(17). Factor 15*k**3 + 4*k**4 - o*k**3 + 3*k**3.\nAnswer: 4*k**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(2\/4*42).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5 at least as big as 1\/6492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -11*l**3 + 7*l**2 + 7*l - 17. Let u(y) = -6*y**3 + 4*y**2 + 4*y - 8. Calculate 4*n(m) - 7*u(m).\nAnswer: -2*m**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4164 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/15)\/m)**23*(m\/(m\/m**11))**3 assuming m is positive.\nAnswer: m**(196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9.8 + -1.8. Let t = o + -7.99896. Round t to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*m**2 + 1152*m**4 + 200*m**4 - 21 - 12*m**2 + 106*m**4 - 9*m**2 wrt m.\nAnswer: 34992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.903 - -29364.65072.\nAnswer: 29368.55372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*u, 0*k + 2*k - 4*u - 36 = 0. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -184*d + 189*d - 30 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - -3)*(4 + -3). Let p be (-2)\/q + (-30)\/9. What is the units digit of 24 - (-2)\/4*p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**2\/5 - t\/5 - 22 = 0 for t.\nAnswer: -10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 + 2*g**2 - 24*g + 15. What is k(3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-21 + 62 + 13)*(-1 + 1 + 2*o) as q*o + f and give q.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/21 - (-1215)\/(-28)) + (505\/20 - 26)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 853043336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-39)\/2 - -3)*(-4)\/(-6). Let u be (4\/(-14) + -1)\/(11\/x). Solve -u*g**2 + 3\/7*g**3 + 6\/7*g + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 207 is divided by 121.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3*6\/27 + (-4)\/6. Let o(g) = g - 12. Determine o(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 12*q - 160. Let a be v(16). Suppose 2*w = 5*k + 42, -6 - a = -3*w - 5*k. Solve -2*m - 2*m - w = -2*i, 3*i = -5*m - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 - 12. Let s(j) = j**2 + j + 32. What is the units digit of s(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/37864383 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2526*k**3 - k**2 + 1963*k wrt k.\nAnswer: 15156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.830099 + -0.8367. Round z to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -13611, -5, 6, 4 in descending order.\nAnswer: 6, 4, -5, -13611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.017 + -0.017. Let k = 0.4 + -4.4. Let r = -50 + 49.95. Which is the closest to w?  (a) 0  (b) r  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 6*j**2 + j + 2. Let z be x(6). Suppose 7*t = -z + 29. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*x**3 - 3*x**3 + 3*x**3)*((4*x + 5*x - 2*x)*(3 - 1 - 4) + 0 + 0 - 3*x).\nAnswer: 102*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 63\/4 - 16. Suppose 0 = 2*u + 2*w + 12, -6*w + 4*w + 2 = 0. Sort a, -2\/3, u in decreasing order.\nAnswer: a, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - 10. Let y = -6 - g. Let c = 3.07 + -2.87. What is the closest to c in y, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00029594 to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/6 in -1, 0.4, 0, 11, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 268\/9 - 30. Is r > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 118 - -0.263746\nAnswer: 118.263746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -4989*u**3 - 5*u**2 - 28*u - 26. What is the thousands digit of i(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d. Let u(t) = -3*t. Let x(r) = 6*r. Suppose -14 = 2*b - 0*b. Let k(v) = b*u(v) - 3*x(v). Calculate w(k(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**2 + 383*m - 2. Let r(q) = 2*q - 1. Give k(l) - r(l).\nAnswer: -2*l**2 + 381*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -x - l, -l = -2*x + 2*l + 12. Solve x = w - 10 + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of 0*n + 35*n**2 + 0*n**5 + 0*n**6 + 23\/8*n**4 + 0*n**7 - 31\/168*n**8 + 1 + 0*n**3. Find the second derivative of g(a) wrt a.\nAnswer: -1240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3070276 minutes to microseconds.\nAnswer: 18421656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 4, s: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1109 is divided by 55.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -333056 divided by 256\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 4*q**2 - 20*q - 148. What is u(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/4 and 107\/8020.\nAnswer: 8020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 3*t - 1 - 8*t)*((0 - t + 0)*(-t + 3*t - 3*t) - 2*t**2 + t**2 - t**2).\nAnswer: 5*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u**2\/3 + 5*u\/3 - 10\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1547aa (base 13) to base 8\nAnswer: 1777661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**6*h**0)\/((h*h*h*h**2\/h*h*h)\/((h**(-3)\/h)\/h))*((h\/h**1)\/h)**(-47)*(h\/(h\/h**(-1)))**(7\/6) assuming h is positive.\nAnswer: h**(245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 17, 52, 111, 194, 301?\n\"Answer: 12*b**2 - b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 661923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4805, -9145, -13485?\n\"Answer: -4340*u - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of -15 + 14\/3*j**3 - 5\/2*j**2 + 0*j. What is the second derivative of k(y) wrt y?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 3*m - 92. Let t(k) = k + 19. Let s be t(-14). Suppose 3*l + 103 = s*b - 273, 3*l = -b + 68. What is the remainder when b is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 3 = -5*z, 8 = 5*o + 4*z - 0. Let l(y) = y - 2*y - 4*y**3 - o - 2*y**2 + 5*y**3. What are the prime factors of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -664968 and 0.3?\nAnswer: -199490.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1035 divided by -207?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + -14 - 0) + 13 + -46?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -2, i - 3*l + 4 = 16. What is the units digit of (i\/4)\/((155\/990)\/31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 353831*y**3 - y**2 - 353836*y**3 - 3 + y**4 - 13*y + 2 to the form t*y**4 + w*y**2 + j*y + p + o*y**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 4*i + 1 = 0, -4 = -3*l + 11*i - 6*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -244333, -488662, -732991, -977320?\nAnswer: -1221649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-7 + 214\/30) - -16.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(1200) - sqrt(1200)*1)**2*6 + 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*c - 2*c**2 - 5*c)*(2 - 2*c**2 - 2 + (-3 + 3 - c)*(-1 + 2*c + 1) + (-c - 3 + 3)*(-3*c + 2*c + 3*c)) as p*c**4 + d*c + t*c**3 + r*c**2 + s and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = -4*x + 5*u + 3, 3*u = x - 17. What is the derivative of 48*z**4 + 34 + 5*z**4 - x*z + 14*z**4 + 24 wrt z?\nAnswer: 268*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1512.4 years?\nAnswer: 18148.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5340352 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 16 = -4*y - 4*w, -3*y + 7 = 2*w. Let q(k) = -2*k - y + 3*k**2 + 0*k + 3. Let n be 15\/6*(-4)\/(-5). Calculate q(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.06, -2\/141, 18\/11 in increasing order.\nAnswer: -0.06, -2\/141, 18\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -13*o + 2. Let i be (182\/(-21))\/13*6. Let p(j) = 7*j - 1. Calculate i*c(g) - 7*p(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 + 5*s + 8. Calculate p(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22571d (base 16) to base 8.\nAnswer: -10453435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffffcnffc. What is prob of picking 2 c and 1 f?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/12)\/((4\/6)\/(-1)). Solve -p - 4*z + 0*z = -19, z - w = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 157 - -27. Suppose 0 = -6*s + 255 + 117. Calculate the remainder when j is divided by s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 (base 6) in base 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2223220032 (base 4) to base 8\nAnswer: 2535016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6787005 to the nearest integer?\nAnswer: 2605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -335696, 4.\nAnswer: -335696, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8103 is divided by 91.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0116 + 29.6884. Let d = 46.8 - s. What is d rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 451\/540 + -19\/540. Let l(r) be the second derivative of 0*r**2 + 2\/15*r**3 + 0 + 1\/15*r**4 - m*r**5 - 16*r. Factor l(v).\nAnswer: -4*v*(4*v - 1)*(5*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, -4, -146 in ascending order.\nAnswer: -146, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 9, -198 = -3*j - 4*g - g. Suppose 68*d + 9 = j*d. Solve -5*b = -3*y, 0*b + 5*y - 34 = -d*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37129340.\nAnswer: 2, 5, 193, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkgrtrtkkkggkkktkk. Give prob of sequence rtrg.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-6) - (-336)\/(-36). Let h be ((-24)\/l)\/((-18)\/(-60)). Suppose 4*b + r - 81 = 0, 4*r + h = -4. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**4\/5 + 884*b**3 - 972390*b**2 - 9790300*b - 24531125.\nAnswer: -(b - 2215)**2*(b + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136*s - 65577083 = -7*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05677 + 0.05677. What is the nearest to p in 36\/13, 0.4, 3\/5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 4*l**3 - 28*l**2 + 3*l + 7. Let f = -3 - -6. Suppose f*z + z - 44 = 0. What is the remainder when r(7) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*p + 51*p = 2925 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (-6 - -1) + (21 - 8) + -85 + 5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (60 + -114)*(-240)\/2430?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*w**4 - 7*w**4 + 1 - w**3 + 2*w**3 - 2 to the form d*w**3 + j*w**4 + l*w + z*w**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + a - 907, 578 = 3*g - 2*a - 344. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 - m**2 + 0*m**2 + m**2 + 2*m + 2*m**2. Let b(o) = -3*o**3 + 5*o**2 + 5*o. Give -4*b(d) + 10*z(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.292 - 0.592. Sort w, -0.05, -43.\nAnswer: -43, w, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -1\/10, -0.097, 5, 3\/4 in decreasing order.\nAnswer: 5, 3\/4, -0.04, -0.097, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -505, -878, -1881, -3826, -7025?\n\"Answer: -52*c**3 - 3*c**2 - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16373 is divided by 152?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1402 + 1209.8. Let k = -177 - i. Let f = -15.81 + k. What is f rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (-15 + (0 - -10 - 4))) + 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -568557, -568590, -568633, -568692, -568773, -568882, -569025?\n\"Answer: -o**3 + o**2 - 29*o - 568528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-84)\/(-5) - (-85)\/((-181050)\/(-1136))?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-138)\/(-24) + -6)*2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (375\/300)\/(10\/6)*(1 + 71). Solve -61*o - j - 129 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*9*134*(-923)\/(-9514)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from asrrasarsra. What is prob of sequence raaa?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 673, 2703, 6083, 10813, 16893?\nAnswer: 24323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, 1.9, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16.53 or 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/((-4)\/2) - 2. Suppose -1 = m*b - 7. Let q(u) = -u + 8. Let t be q(6). Solve t*n - b - 1 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-c**2 + 3*c**2 - 3*c**2)*(4*c - c - 4*c) + (4*c**3 + 0*c**3 - 5*c**3)*(-158 - 40 + 2) in the form u*c + j*c**2 + t + n*c**3 and give n.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -19, -4, -391, -1, 9.\nAnswer: -391, -19, -4, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0 + 27*p**2 + 57*p**2.\nAnswer: 84*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l**3 - 4*l**2 + 8. List the prime factors of h(6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 860 - 31*z - 860.\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 5:36 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 280 and 55.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/26)\/(-168*(-20)\/2240*(-4)\/18).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d*d\/d**1*d)**(-47)\/(d**0)**(9\/7))**(-40))**(-11\/5) assuming d is positive.\nAnswer: d**(-12408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2a1 - -11?\nAnswer: 2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11 is divided by 12\/(-6)*(-2 - (-3)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165 is divided by 46.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + 10*r**2 - 2*r - 15. What is l(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 33\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*n**3 - 17 + 86*n**2 + 16 + 11*n**4 + 5*n**3 - 12*n**4 - 2*n in the form t*n**2 + f*n + j*n**4 + q + x*n**3 and give t.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 1:01 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 17526 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36054 divided by -12018.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 - 30*a**2 - 5*a + 1479. Determine k(-28).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-3)*x**6)\/((x*(x\/((x**(-1\/3)\/x)\/x))\/x*x)\/(x\/(x\/x**8)))*(x*x**(-3\/5)*x*x*x\/(x**(-5)\/x))**(7\/6) assuming x is positive.\nAnswer: x**(529\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -844, -834, -824, -814, -804?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -3*r - 3. Let l be w(-3). Suppose 8*f - 3*f - 1637 = 3*u, -2*u - 1062 = 4*f. What is the tens digit of 1\/l + u\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b - 1da80?\nAnswer: -1da8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.4  (b) 2  (c) -0.02  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.23 + -0.078\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*u + 6 = 63 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 48823 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: Let p(u) = -6*u**2 - 5*u - 9. Let j(k) = 5*k**2 + 5*k + 8. Let n(r) = 4*j(r) + 3*p(r). Suppose -6*t - 4 = -4*t. What is the remainder when 3 is divided by n(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003048406 to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3056810 and 3585?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37261722 is divided by 2828?\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {e: 7, m: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 11\/3 + (-2)\/3. Find q such that 0*q**s - 25*q - 8*q**2 + 9*q - q**3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*s + 5*s + 410 + 22*s in the form k + l*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.13 times 4\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/11?  (a) 2\/495  (b) -15\/7  (c) -2\/7  (d) 1  (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*q - y + 3, 107*q - 5*y + y - 75 = -0*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 7 + (7 - 9). Let i be (-1)\/f - (-74)\/8. Does 10 divide i - (-1 - (3 + -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 25025167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12 in -5\/2, 0.2, -48?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38661?\nAnswer: 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 62250 and 9510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -2*u + 1384, -5*u + z + 2868 = -537. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of -9*f**2\/2 - 6*f + 156. Determine x(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 772 divide 2075799148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -2*x - 14, 132*h - 134*h + 5 = -3*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 772, 4\/5, -2\/33, -13?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 679 or 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, q: 9}. What is prob of sequence qkkq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22205?\nAnswer: 5, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 148639129 or 148639128?\nAnswer: 148639129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 3*l - 1, -5*i + 2 = -23. Let b = 4 - l. Calculate the least common multiple of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 92952, 185946, 278940, 371934, 464928?\n\"Answer: 92994*m - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((102\/(-18))\/17)\/(11\/594).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-1)*y\/(y\/y**(3\/5))*(y\/(y*y*y**(-8))*y)\/(y*y**(-2)) assuming y is positive.\nAnswer: y**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.1  (b) 2339  (c) 17  (d) 5  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of 3*w**5\/35 - 2*w**3\/7 + 3*w\/7 - 15. Factor y(m).\nAnswer: 3*(m - 1)**2*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1013080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-2\/27)\/z**8*z**(-6)*z**(1\/4)*z assuming z is positive.\nAnswer: z**(-1385\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from lnlmmlmmlllmlnlmmmm?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 0.8  (b) 1  (c) -7  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 0 = -4. Let q(s) = s**2 + 5*s. Let g be q(-5). Suppose 4*t - 2*t = g. Solve t = -d + 3*z + 2, -z - z + h = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*m - 3 + 0 + 20*m)*(18*m**2 - 3*m**4 - 18*m**2) + (0*m**2 - 2*m**3 + 0*m**2)*(-33 - 24 + 121)*(-1 - 2*m**2 + 1).\nAnswer: 259*m**5 + 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2\/6 + 239556023*t\/3 - 57387088155576529\/6.\nAnswer: -(t - 239556023)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 201*a**2 + 259*a**2 - 70 + 35 - 317*a**2 + 37.\nAnswer: 143*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 PM and 10:28 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 9:03 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1519, -2892, -4265?\n\"Answer: -1373*q - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 7*z**2 - 33*z - 34. What are the prime factors of s(23)?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 greater than -0.2097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/3, 3, 2\/25, 3285, -1?\nAnswer: 3285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 56689.19 millilitres?\nAnswer: 56.68919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 9285489, 18570980, 27856471, 37141962?\n\"Answer: 9285491*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/35 + 2\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 3*i**2 + 4*i + 2. Let a(o) = -o**3 + 5*o**2 + o - 7. Let y be a(5). Let m be l(y). What is the units digit of (-9)\/m*2 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1.6  (b) -5\/2  (c) 2  (d) 1\/3  (e) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of -o**5\/4 - 2*o**2 - 5*o + 6. Let h(b) be the first derivative of r(b). What is the first derivative of h(k) wrt k?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.76?  (a) -0.178  (b) -1  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7 is divided by ((-2)\/(-10))\/(10\/150).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -363, -434, -475, -486, -467, -418?\n\"Answer: 15*g**2 - 116*g - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -2.22. Let b = -0.98 - j. Sort 1\/6, 0.5, -3\/4, b in decreasing order.\nAnswer: 0.5, 1\/6, b, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 PM and 4:23 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -9*o**3 - 18*o**2 + 10*o + 5. Let b(i) = 5*i**3 + 9*i**2 - 4*i - 2. Calculate 5*b(r) + 2*v(r).\nAnswer: 7*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of -c**7\/1155 - c**6\/132 - c**5\/55 + c**4\/33 + 8*c**3\/33 + 6*c**2. Factor i(h).\nAnswer: -2*(h - 1)*(h + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 420*q - 713. What is i(2)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {i: 2, s: 1, v: 2, r: 1, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y**2. Let r = -5 - -10. Let n(c) = 2*c + 3*c - r*c + c. Determine n(f(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -158.2 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 191 = 3*t + 198, 3*q + 5*t - 7 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2030279.706 - 0.\nAnswer: -2030279.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 87500 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 13798.03 micrometers?\nAnswer: 1.379803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -232 + -44 + 140 - -211.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7026656*r**3 - 11*r**2 + 49757826*r.\nAnswer: -42159936*r - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 490*k**2. Let m(f) be the third derivative of -f**5\/20 + 2037*f**2. What is x(m(n))?\nAnswer: 4410*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/122 and 28\/465711?\nAnswer: 56816742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 7 + 14 = 0. Find the second derivative of 21*l**2 + 17*l + 9*l**2 - 5*l - j*l**2 wrt l.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2520679 take away -14562?\nAnswer: 14561.7479321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2160 = -33*d + 177*d - 279*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11521 is divided by 360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.4298 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -39 and 81.\nAnswer: -3159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**2 + 0*z**2 + 2*z**2)*(0*z**2 + z**3 + 0*z**2) + 2*z**5 + 3*z**5 + z**5 + (-1 + 1 + 2*z)*(2*z**4 - 2 + 2).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 129  (b) 7  (c) 161  (d) 2\/5  (e) 3\/2  (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g + 7585 - 3793 - 3792.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2423186 to the power of 1\/2, to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of o**4\/4 + 8*o**3\/3 + o**2\/2 + 6*o - 2. Let a be b(-8). Is 1*-46*1\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -18*l + 32. Give p(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -11*d + 6*d. Let o be ((-18)\/12)\/(1\/(-2)). Put 1, o, d in descending order.\nAnswer: d, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 3*p - 6832, 3*h - 337 - 8771 = -4*p. What are the prime factors of p?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.64 * -21\nAnswer: -13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -33 (base 11) to base 15\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7497*b**2 - 3054*b**2 - 205*b + 81*b + 124*b.\nAnswer: -10551*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.49 - 0.09. What is the closest to -1 in 0, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 665 = -38*v + 1159 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - -2)*46417\/(-36803) + (-12)\/(-78). Are -2 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - 98?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tsn when three letters picked without replacement from usnttnntnsssss.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*t - 2 + 37*t - 27*t.\nAnswer: 39*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1207\/964 + 1\/482. Let p be ((-6)\/9)\/(2\/6). Put -5, p, o in decreasing order.\nAnswer: o, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.9 and -5845365.\nAnswer: 5260828.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -5\/3  (c) 8.9  (d) 2\/15  (e) -0.4  (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + 1 + (2 - 0). Suppose -u*w = w. Let a(c) = -2*c - 12. Let r be a(-8). Solve -r*m = -w - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 231164.631 seconds?\nAnswer: 2.6755165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**2\/11 - 68*y\/11 - 222\/11 = 0.\nAnswer: -3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47206094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -1, -3\/163, -5, -1\/2, 4 in decreasing order.\nAnswer: 4, -3\/163, -0.1, -1\/2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t + 30071 + 3*t**3 - 30072 - 3*t**2 - 2*t**3 + 3*t**4 in the form j + s*t**3 + f*t**4 + k*t**2 + u*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 87815 and 20072.\nAnswer: 702520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51942231 is divided by 140006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 523 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/(-12))\/((-3)\/582). Suppose -4*x + 5*v + 467 + u = 0, 3*x = 2*v + 423. Suppose 3*j = -d + 126, 3*j - 8*d - x = -4*d. Is j a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -5*p. Let m(b) = 59*b - 4 - 109*b - 11 - 33 + 56*b. Give k(m(w)).\nAnswer: -30*w + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -w**2 + 2*w**2 - 164*w**4 + 332*w**4 - w + 6*w**2 - w wrt w?\nAnswer: 4032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -46*v**2 - 7*v + 49*v**2 + 7*v. Let r(t) be the second derivative of -t**4\/6 + 6*t. Give d(r(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 650 is divided by 286?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*k - 468 + 321. What is the smallest common multiple of k and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oeww. What is prob of picking 1 e and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 269 is divided by 122.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -2) + 5 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*v**2 + v**2 - 4*v**2)*(2*v - 2*v + 3*v)*(-3 - 3 + 4) to the form s*v**2 + w*v + l + b*v**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of 5*k**3\/2 + 13*k + 20. Let y(j) be the first derivative of x(j). Let v(i) = -2*i. What is y(v(b))?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10244 + -1502?\nAnswer: 4342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -167649.6082 and 7.\nAnswer: -167642.6082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -89 by -1.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 5:34 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 29  (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 280492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*d = -77*d + 249*d - 1512 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 - 8836*c - 97153. Calculate w(-11).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 40 + 1 + (-1370754)\/33411\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 24*a - 10 + 5 - 20*a - 17*a as z + y*a and give y.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2688 + -2685. Which is the smallest value?  (a) w  (b) 0  (c) -32\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 - 2. Let a be f(0). Let t(b) = 0 + 4 - 3*b + 2*b**2 - 6. Let y(i) = -2*i**2 + 4*i + 3. Let c(p) = 4*t(p) + 3*y(p). What is c(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -3*m + 8*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 68 and 2278.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 658 is divided by 119.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 1:14 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence krr when three letters picked without replacement from {d: 2, r: 3, y: 1, h: 5, k: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3104992814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 + 8. Let h = 0.01 + 4.99. Put w, -0.3, h in descending order.\nAnswer: h, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/2178 and 61\/13524.\nAnswer: 4909212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -418*a**2 + 5*a + 0 + 116*a**2 - 3.\nAnswer: -302*a**2 + 5*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = p - 10, 4*m + 12 = 3*p + m. Let c be 1*-4*-1*p. Suppose -48*b**2 - 32 - 2*b**4 + 11*b**3 + 64*b + 0*b**c + 5*b**3 = 0. Calculate b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i - 3. Let l(a) = 11*a + 36. Let w(c) = 5*c + 19. Let b(t) = -3*l(t) + 5*w(t). What is -6*b(h) + 26*r(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 168, 344, 518, 690, 860?\n\"Answer: -g**2 + 179*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 126 - 88. Let t = -58 + k. What are the prime factors of (-82)\/(-3) - t\/(-15)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1041307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 7\/2  (b) -5  (c) -2  (d) -0.3  (e) -3  (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (9 + -1 - (-96 + 84))\/(-7)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13.35, -1\/9, -2\/13.\nAnswer: -2\/13, -1\/9, 13.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.32 - 5.08. Let x = r + 5.400049. Round x to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 3*g**2 + 10*g + 6. Does 27 divide d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -2*i + 25, -4*i = 4*b - 10879 + 10839 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 223*i + 666 - 553 = -3009 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 275*h + 986*h - 122*h + 219*h - 85*h to the form i*h + s and give i.\nAnswer: 1273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1285019623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -j**6\/60 + j**5\/30 + j**3\/6 + 5*j. Let o(f) be the second derivative of i(f). Factor o(b).\nAnswer: -2*b*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1131)\/2610*6)\/1?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 8, 0, -4\/21, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - q - 521 = 0, -2*l - 43 = -4*q - 307. Let f = l + -95. What is the greatest common divisor of f and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*k + 0*k - 5*k)*(-4*k + 4*k + 2*k).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 170594 = 3*f - 170573, 3*o = -f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 184 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - t = 8396, 2*r + 2*r = 2*t + 8392. Round r to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of h**4\/8 + 13*h**3\/6 - 27*h**2. Calculate the smallest common multiple of 2 and s(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61707431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -524 + 321?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m + 27 = 66. Let b(w) = 2 + 3*w**2 - 3*w - 5 + w**3 - 2 + 2. Give b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -4*i. Let k(z) = 49*z + 21. Let g(f) = -7*f - 5*f + 58 - 63. Let y(v) = 21*g(v) + 5*k(v). Determine w(y(r)).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 5*u - 70. Let o be x(-5). Let n = -55 - o. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 40 - 35. Suppose 4*s - 4 = 2*y, y - d*s + 7 = 2. Let q = -3\/31 + -25\/62. Which is the second biggest value?  (a) -0.1  (b) y  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 111, -1, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/69, 1\/4, 1, -0.1, 15\/28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -64424, -129132, -193840, -258548, -323256, -387964?\nAnswer: -452672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 72020 and 324090?\nAnswer: 648180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2. Let l(w) = -15*w**2 + 9*w. Let j(f) = 5*f**3 - 1. Let d be j(1). Let y(z) = -7*z**2 + 4*z. Let m(v) = d*l(v) - 9*y(v). Determine m(h(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 137 - -11?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(8\/(-17)) - 11\/(-22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -949 (base 10) in base 4?\nAnswer: -32311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2616 (base 7) to base 12.\nAnswer: -6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 2*b**2 - 10*b - 3. Is r(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - 3*n - n**2)*(-2*n**3 - n**3 - 4*n**3) + (-1 + n + 1)*(6*n**4 + 6*n**4 - 5*n**4).\nAnswer: 14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 647344 to the nearest 1000.\nAnswer: 647000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 - -3. Suppose 0 = a + 3*a - u. What is the greatest common divisor of a and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - 5*s - 1. Give l(6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4743\/(-340))\/(-31))\/((-3)\/5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38366 - -38468. What is the smallest common multiple of w and 867?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 15690*q - 32980. What is d(2)?\nAnswer: -1600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 67 = 4*s - 20, -5*s + 105 = 5*x. Let j = 40 - s. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 + 18 + -11 - (4 + (10 - -2))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-522 - -1)*(1 + -2). Let y = 761 - l. Calculate the highest common divisor of y and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five quarters of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -132 (base 5) to base 2.\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 + -1.2. Let i = -0.4 - n. Let y = -16046 + 16064. Which is the smallest value?  (a) i  (b) 2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35030465843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -118.662+-1696\nAnswer: -1814.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (-548)\/108)\/((-5)\/(-30)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -698 = -3*n - 692. Solve n*c = -t + 1, -15 = 3*c + 5*t - 27 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/17)\/(x\/(x**(-1)\/x)))\/(x\/(x\/(x*x**(-2\/5))*x))**20*(x**(-4\/5)*x\/(((x\/x**9)\/x)\/x))**8 assuming x is positive.\nAnswer: x**(7351\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-320)\/288 + (-1 - -3))*(-6)\/(-8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g**3 + 1661*g**2 + 681898*g = 0. What is g?\nAnswer: -919, -742, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85867516.\nAnswer: 2, 7, 1327, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 2*k - 41 = 3*l, l = -4*k + 103. Solve 5*u - k = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 100*q**2 - 27*q**2 - 29*q**2 - 16*q**2 - 25*q**2. Let i(g) = -82*g**2 - g. Give h(i(a)).\nAnswer: 20172*a**4 + 492*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 336 + -329. Sort -1.1, -0.2, t.\nAnswer: -1.1, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/12 and 137\/5580.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2050432 divided by -256304?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129781.\nAnswer: 233, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -982*m - 1144*m - 1012*m + 3377*m.\nAnswer: 239*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/((-64)\/6)*10*8\/(-1920)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 345763\/15 - 23051. Put v, -33, -0.5, 6 in ascending order.\nAnswer: -33, -0.5, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 + 11*g - 3. Let u be y(7). Suppose -u = -2*q + 5*w, -5*q - 5*w - 8 - 17 = 0. Suppose -d = -3*d + x + 32, q = 3*x. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1276, -608, 1198, 4712, 10504, 19144, 31202?\n\"Answer: 95*c**3 - c**2 + 6*c - 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-10))\/(3\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(1 + (sqrt(13) - (sqrt(65)\/sqrt(5))**2) + sqrt(13) + -3) - (sqrt(13) + 2 + sqrt(26)\/sqrt(2) + 4)**2*4.\nAnswer: -108*sqrt(13) - 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 1, 0.5, 1\/4, -10, 2, -24.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 66 and 414.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v - 4. Give r(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 7*q - 3. Suppose -106*v + 104 = -119*v. Let j(k) = 2*k**2 + 20*k + 9. Calculate v*f(d) - 3*j(d).\nAnswer: 2*d**2 - 4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -272*m + 98*m = -3*w + 30, 0*w - 9*w + 4*w = 3*m - 50 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3 - 8313*f**2 + 24960*f - 16644.\nAnswer: -3*(f - 2)*(f - 1)*(f + 2774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from clpplpccplllplllc. What is prob of picking 3 p and 1 l?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 10\/1447?\nAnswer: 10\/1447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by -38\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 AM and 7:56 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/(-3))\/((-22)\/6). Let w(i) = 54*i - 3879. Let q be w(72). Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*u - 2*l - 29, -2*u - 4*l + 40 = 0. What is the lowest common multiple of 18 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43\/133 - -2\/19. Let j be 5\/13*4\/(-10). Which is the third biggest value?  (a) j  (b) -0.4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -70*n**5 - 4*n**3*s - 1610*n**2 + 63*n*s + 977*s - 6 wrt n.\nAnswer: -1400*n**3 - 24*n*s - 3220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - 4. Is 17 a factor of (d*4)\/(4\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 3*i**2 + 4*i - 21. Let z be j(4). Suppose -4*u + 3*x = u - 1496, -5*u - 3*x = -1514. Calculate the highest common factor of u and z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12359968?\nAnswer: 2, 386249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of -7*a**3\/3 + 7*a**2\/2 + 8*a. What is the remainder when d(-4) is divided by ((-9)\/(-6) + -2)*-26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(1 + (sqrt(99) + 1)**2*4)*-3.\nAnswer: -4812 - 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((0 - 2)\/(-10))\/(48\/(-60)). Sort 5, k, 0.2, -2\/7 in increasing order.\nAnswer: -2\/7, k, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -0*c - 7*z + 36, -4*z = -2*c - 22. Let r be (3\/36)\/((-65)\/(-2)). Does c = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12352790.\nAnswer: 2, 5, 67, 103, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.37 and 729.\nAnswer: 728.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*h**5 - 40*h**5 + 149*h**5)*(7 + 1 + 1) + 3*h - 3*h + 2*h**5.\nAnswer: 1136*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 AM and 5:38 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -156?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of -11\/12*h**4 - 1\/60*h**6 - 1\/5*h**5 + 0*h + 0 + 21*h**2 - 2*h**3. Suppose p(n) = 0. Calculate n.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**3\/5 + 3286*w**2\/5 + 602392*w\/5 - 243584 = 0?\nAnswer: -176, 2, 3460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 24, -1\/7, 6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4266, 8665, 13062, 17457?\nAnswer: 21850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 - 6*q - 2. Let f be r(-5). Solve -f*y + 0*y = -3, -3*y = 4*c - 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4\/4 - 1777*t**3\/2 - 3557*t**2 - 3558*t.\nAnswer: t*(t - 3558)*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 11101100101011001100110 (base 2) to base 14\nAnswer: 105c42a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3364 or 3367?\nAnswer: 3367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -2, -1, -0.6, -1\/5, 51 in ascending order.\nAnswer: -2, -1, -0.6, -1\/5, 0.3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eqz when three letters picked without replacement from rrxqqeqrrezrzexqe?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26 + 37. Let l(c) = -c + 1. Let v(z) = -5*z + 5. Calculate j*l(a) - 2*v(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 + 3)\/(2*(-4)\/(-20)). Sort -5, 1, a, 0 in increasing order.\nAnswer: -5, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 33, 32, 33, 30, 17, -12, -63?\n\"Answer: -z**3 + 7*z**2 - 15*z + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mab when three letters picked without replacement from {a: 1, e: 1, m: 1, b: 1, u: 1, t: 6}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 10270000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 151, 135, 83, -23, -201, -469, -845, -1347?\nAnswer: -1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -422 + 202 = -5*b. Suppose 2*z + b = 6*z. Solve -6 = 5*a - z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of 11*u**5\/10 + u**3\/2 - 8*u**2. Is d(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f + 11. Let o(l) = l**2 + 2*l + 3. Let p be o(-3). Let v(d) = d**2 - 3*d - 13. Let a be v(p). Give k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2106 divide 35637732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -375 + 378 - (-3)\/(3\/(-7)). What is the second smallest value in 322.4, u, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 147183627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*b + 495 = 59*b. Calculate the greatest common divisor of 25 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k - 2. Let t(s) = -s**2 - 3*s - 3. Suppose 5*m - 3*z + 3 = 0, 6*z + 20 = z. Determine m*i(l) + 2*t(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1c + -1802b?\nAnswer: -18049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*w - 1 + 0 + 3*w + 2*w + 1 - 1 + 0*w + w + w + (0 + 0 + w)*(4 - 4 + 2) - w - 4 + 4.\nAnswer: 14*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141*j = 767 - 122 - 81. Solve 3*s - 32 = -4*h, j*h - 1 = -2*s + 27 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*g - 21*g = 52*g - 1429680. List the prime factors of g.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8742 + 25100. Let r = b + -16672. What is r rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 857830 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -14*l**2 + 12*l. Let x(b) = b**2 + b. Let q(k) = v(k) + 8*x(k). Find the second derivative of q(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bpp. What is prob of picking 1 p and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**2 + 63*d + 837. Is v(45) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = 3*m + 5*g, -3*g + 7 = -m - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 22\/(-3) - (-2)\/6. Let m be 10 + (109 - (0 - -3)). Let x be r\/(35\/m)*-5. What is x rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1838 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: Let a = 111.43 + -111. Let d = -809.77 - -810.20019. Let r = a - d. What is r rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2 + -6*(sqrt(833) + -1) + 3 + sqrt(833)*-4*4)**2.\nAnswer: -2156*sqrt(17) + 403221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -968*y - 4. Let z(p) = -1047*p. What is z(a(j))?\nAnswer: 1013496*j + 4188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5515210884 to the power of 1\/2, to the nearest integer?\nAnswer: 74264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 0*f + 20 = 0. Suppose -2*z = 5*u - z - 5, -4*z = f. What is the units digit of 15\/(-10)*(-4 - u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 408?\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u. Let g be q(-6). Let o be g*(3 + (-44)\/12). Solve -2*f + 14 = -o*b, -2*f - 22 = -0*f + 5*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 - 12*c + 13. Let q be (8\/(128\/(-12)))\/((-2)\/24). Give l(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k - 6. Let g be b(-5). List the prime factors of 21 + g\/2*6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 9*r**2 - 11*r + 2. Let q be i(10). What is the tens digit of (-90)\/(-4) - 1\/q*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 2*d**3 - 270*d**2 + 2046*d - 1778 = 0.\nAnswer: 1, 7, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + i + 5 = 0. Let k(z) = 9*z**2 + 9*z - 7. Let s be k(i). Let c = s - 184. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + h + 49 = 0, -k + 3*h + 26 = -0*h. Let s = k - 9. Find m, given that 10*m**2 - m - 3 + 4*m + 6*m + 2*m**s = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 119924474*q**3 - 4055463*q**2 - 11*q?\nAnswer: 719546844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -10\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.24 - 0.34. Which is the closest to 0.1?  (a) -3  (b) 7  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/56 and -68\/3675.\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eblge. What is prob of sequence elb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1402*s + 3 - 4 - 2784*s - 7 + 1333*s.\nAnswer: -49*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 10:21 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -4\/9, 15, 0.15?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1.725 times -0.08\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 155 - 143. Let v = -44 + 62. What is the greatest common factor of m and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-461)\/(-72) + 4\/18)\/1 and -75\/52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117*c - 2*c**2 + 37*c - 10*c**2 + 80*c + 17*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 0.96506383.\nAnswer: -0.193012766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -66*n + 4*n**2 + 379 + 108*n + 102*n + 917.\nAnswer: 4*(n + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 0.6, -5091?\nAnswer: -5091","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*l + 20*l - 220. Is 1\/(-1)*l*6957\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 10:12 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139*m - 164*m - 143*m + 566*m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19957086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 152 - 455\/3. Let h = -0.03 + -0.07. What is the closest to n in h, -1\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26 by 16946.\nAnswer: -13\/8473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -115 less than or equal to -200591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3)\/a**(-4\/3))**16 assuming a is positive.\nAnswer: a**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1761, 7072, 15923, 28314?\n\"Answer: 1770*y**2 + y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 167116000 to the nearest 1000000.\nAnswer: 167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.195 + 0.095. Let s = 9.6 + -10. What is the closest to 0.04 in -0.3, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6110*l*p**2 + p**2 - p - 274 wrt l.\nAnswer: 6110*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11519209627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4522 divided by -3.\nAnswer: 4522\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-5) - 6\/(-30). Let q be 252001\/(-4) + 3\/(12 - h). Round q to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 1547 = 2*j, 3*r + 1539 = 2*j - 0*r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*l + 56*l - 27216*l**2 - 22*l - 19*l.\nAnswer: -27216*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/(-3) + 1)*0. Suppose v = -3*b + 54 - 360. Does 13 divide (-9)\/(-36) + b\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jkkmk. Give prob of picking 1 m and 1 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 298 + -296. Find the common denominator of (-26)\/39 + (250\/12 - k) and 2\/10 - 24\/(-55).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6642696332 to the nearest integer?\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x - 2*x + 29*x**2 + 4*x.\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + -3 - (-2)\/1. What is the second derivative of -2*o + 1 - 2*o**4 - 1 + f*o**4 wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*i + 3004 = -15*i. Let s = 2135 - i. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 258 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2767500, -5534956, -8302398, -11069820, -13837216, -16604580?\n\"Answer: t**3 + t**2 - 2767466*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of 4*x**6\/75 + 201*x**5\/10 + 647*x**4\/6 + 182*x**3 + 496*x**2\/5 + 2170*x. Find l, given that n(l) = 0.\nAnswer: -248, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/6*-45 - (-1848860)\/61685.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.35 - -4. Let m = 25.35 + i. Let n = 25.000037 - m. What is n rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -50 + 14012?\nAnswer: 13522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*m + 5. Suppose -m*q = -4, 3*u = 2*u + q. Solve 0*i = -u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x = x. Suppose x = 22*n - 34*n + 240. Which is bigger: 21 or n?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.57 + -26.43. Let x = 18 + n. Let c = 8.99974 + x. Round c to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -67*f*y - 13757*f - 28*y wrt y.\nAnswer: -67*f - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1134) + 6*sqrt(1134)*-2 + sqrt(1134) - 1*(sqrt(1134) - sqrt(1134)*-1))\/(4*(sqrt(10) - (sqrt(10) + -3*(sqrt(10) + sqrt(30)\/sqrt(3))))\/sqrt(5)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) 0  (c) -4  (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from npppppppppppnpnppn. What is prob of picking 3 p?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7316 + 10757. Suppose 607 + d = 11*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s**4 - 5108*s**3 - 22296*s**2 - 27504*s - 6880 = 0.\nAnswer: -2, -1\/3, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7312.7 + 7719. Let l = 434 - z. Let f = 27 - l. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -4*j**3 - 4*j**2 + 4*j + 5. Is u(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j - 3*j - 3*j)*(-8 + 63 - 34).\nAnswer: -63*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - 6*b**2 + b)*(-2 + 2*b + 2 + 3*b - 4 + 4 + (2 + b - 2)*(4 - 3 + 1)).\nAnswer: -42*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1664\/(-104) + 27 + -1. Solve -3*j - 15 = 0, -4*j = -0*k + 5*k + q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122356 less than -1148493?\nAnswer: -1270849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -d + 12. Let z = d - 13. Does 13 divide 2 + (z - (2 + -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 5*s = 125, 3*r + 2*s + 63 = 5*s. Let z be (13\/2)\/(1\/6). Let m = r + z. Calculate the remainder when 30 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -9. Suppose -y*k + 0 = -u - 5, -k - 5 = -2*u. Suppose -u*h - 8 = -2*r, 0*r + 3*r - 11 = 5*h. Solve -z = -r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o - 2. Let k be s(7). Let b be (-2 + 0)\/(k\/(-3)). What is the nearest to -2\/5 in 2\/5, b, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3194515991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -205.2 + 220.2. Sort 3, 4.1, n in decreasing order.\nAnswer: n, 4.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 times 0.72?\nAnswer: 12.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 5488\/(-1176) + (-67)\/3\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - 3*g + 2*g)*(-419 + 3391 - 704 + 3944 - 629).\nAnswer: -5583*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9193614*p + 9193614*p - 15*p**2.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2082033721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -87 + 86. Let a = 6 + -10. Put a, 1, z in descending order.\nAnswer: 1, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - b + 5827 = -6*b, b = -6*l + 11698. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*s - 2163 - 2621 = 0. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2695)*5 - sqrt(55))\/(4*sqrt(5)*-4) + -1)*1.\nAnswer: -17*sqrt(11)\/8 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8848 + -8840. Suppose 2*t + 2 = 10. What is the greatest common factor of p and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 - (1 + -2) - -1. Let f(m) = 65 - 130 - m + 65. Let z be f(k). Let h(x) = 8*x - 8. Let p(i) = -7*i + 7. Give z*h(v) - 7*p(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 60 = 21. Let a = 97 - d. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*d + 3582 = 35*d. Let v = d + 3580\/9. Are -0.01 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11a889b (base 13) to base 6\nAnswer: -313535440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3560 + 3593. Solve -4*g + 45 = -5*o, -4*o - p + 18 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 0.431.\nAnswer: -0.0862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*u + 1404 = -29*u + 1747 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34496\/7744 - ((-8)\/(-66) - 2\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5*3*(-1)\/(-3). Suppose 2*u + 5*h = 0, 0 = -u - 6*h + h - v. Suppose -s + d + 31 = -2*d, 3*s = u*d + 77. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 2*g = 6, -3*x + 7*g + 145 = 128 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002833864 to five dps.\nAnswer: -0.00283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/1329000 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -5 + -4 + (1 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**12*c)\/c*c**(-12))\/((c*c**(2\/45))\/(c*c\/c**2)) assuming c is positive.\nAnswer: c**(-47\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 13*h**5\/5 - 8*h - 16. What is the first derivative of n(c) wrt c?\nAnswer: 52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*l**3 - 2*l**2 - 41*l**3 + 2*l**2.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 190692 < 190690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-9))\/((((-112)\/(-12))\/14)\/(-4)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -275.6, 0.01, -5\/2, -0.1, -1\/3 in ascending order.\nAnswer: -275.6, -5\/2, -1\/3, -0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9405389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 2097*d + 2259. Let s be q(-1). Calculate the greatest common factor of s and 8082.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 7*-1) + 21*(-14)\/42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-9)*(1 + 0). Suppose 36 - 6 = 5*o - 5*q, 3*q = 5*o - 20. Suppose 0*v = v - o. Which is bigger: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 188 a factor of 25985548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-1)*d)**48\/(((d**(1\/4)*d)\/d)\/d*d)**(-50) assuming d is positive.\nAnswer: d**(121\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 - h + 1. Let v(t) = 2*t**3 + 2*t**2 - 1. Let s be v(-1). Let r(l) = -7*l**2 + 4*l - 3. Determine s*r(n) - 5*g(n).\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/((27\/(-6))\/(-1)*(-12)\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1374 + 786. Let i = 4 - y. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*-6875224\nAnswer: 6875224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - g - 24290, -4*w + 24*g = 19*g - 19453. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3026322t in kilograms?\nAnswer: 302.6322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 22 = 4*c. Let a = -6 + c. Let x = 0 + a. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the third derivative of d**5\/40 + 2*d**3\/3 - 11*d**2. Let c(t) be the first derivative of l(t). Let r(n) = -3*n. Determine c(r(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.009, -6\/7, 23, 1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -3*o**2 + 5*o + 9. Let b = 21 - 17. Let s(d) = 10*d**2 - 15*d - 26. Let h(p) = b*s(p) + 11*x(p). What are the prime factors of h(-2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/6 - (-14)\/4. Suppose 415 = 2*v + k*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7778644 minus -6?\nAnswer: -7778638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.298 in 0.011, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 185, -1, 1, -14 in descending order.\nAnswer: 185, 1, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**17)**(2\/13)\/(p*p\/p**34*p*p\/(p\/(p*(p**(-4)\/p)\/p*p*p)*p*p*p*p)) assuming p is positive.\nAnswer: p**(528\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*z = -68*z - 12. Let s be z\/10 - 12\/(-60). Let f = 0.3 - 0.2. Put -0.3, f, s in decreasing order.\nAnswer: f, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 672760 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 206866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - 4 + 4)*(8*w**3 + 89 - 89 + (-2*w**3 - 5*w**3 + 4*w**3)*(-2 + 2 - 2)).\nAnswer: 42*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = u - 3, -4*u + 2 = 3*v - 1. Let m = u - -1\/4. Which is the third biggest value?  (a) 6  (b) -0.3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -4*q**3\/3 + q**2\/2 - 2. What is the second derivative of d(y) wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000771528179 to 6 dps.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-1\/9)*x*x*x*x*x)\/(x*x**5\/x*x))\/(x**(-3)*x**(-3\/2)) assuming x is positive.\nAnswer: x**(79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 193 in -38\/9, -5, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 127.9112 millilitres?\nAnswer: 0.1279112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1039 - -2344. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -110.9 - 24.1. Let p = k - -227. Let s = -91.98 + p. Which is bigger: s or -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = -2*g + 8 + 1, y = -4*g + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2607697249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -3 + 13 - (727 - 739).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -420 - 876 = -8*n. What is the highest common factor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 5*h + 16*h + 162 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -41958.89595 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 4*q - 8, 9*m = 6*m - 5*q + 37. Sort 0, 5, m, -335.\nAnswer: -335, 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**4 + 6*u**3 + 78*u**2 - 40*u.\nAnswer: -2*u*(u - 5)*(u + 4)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-15 - -8)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 277895 + -3?\nAnswer: 277892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 60 + -58. Suppose f = -0*m + 2*m. Is 2\/61 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 + 37 - 70 - 381*k.\nAnswer: -381*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -11 + (-3)\/(12\/(-4)). Let g = y - -5. Let a(s) = s**3 + 5*s**2 - 2*s - 2. Determine a(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-76614)\/3616 + -2 + 21 and (-11 - -1)*1\/88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 2*u - 20 = 0, -6*m + 12 = -3*m + 2*u. Suppose 5*j = 1 + 4. Let a(v) = 0 - v + j + 0 - 2. Determine a(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18487 and 5954543?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 8881  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -35.76701 rounded to zero dps?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -39\/4?  (a) 4  (b) -1  (c) -0.5  (d) -14  (e) 1\/5  (f) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 201190094.\nAnswer: 2, 7, 709, 20269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of -5*w**2 - 1\/6*w**3 - 1\/24*w**4 - 1\/40*w**5 + 0 + 0*w. Let c(z) be the first derivative of p(z). Calculate c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*(-48)\/(-420))\/(12\/(-14))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000095 rounded to seven dps?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 5*h**2 + 7*h - 2. Let j be v(6). Let z = 12 - 9. Suppose -2*w - 16 = -j*x + 2, z*x + w = 1. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 262 divide 515354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 z when three letters picked without replacement from ggqgkkkgwwkzkfgzg.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**5 + 5*u**5 + 2*u**5 + (-3*u**3 - 2*u**3 + 7*u**3)*(-23*u**2 + 71*u**2 - 25*u**2) + (0*u**5 - 3*u**5 + u**5)*(3 + 0 - 4) + 0*u**5 - 4*u**5 + 3*u**5.\nAnswer: 51*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 2 + -2 - -9 - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9*(-8)\/(-24))\/((-6)\/(-4)). Suppose 20 = 5*q, k*s - 5*q - 9 + 1 = 0. What is the smallest common multiple of s and 400?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 - 37*t**2 - 36*t - 74. Let r be v(38). Suppose -2\/9*y**r - 2\/9*y + 4\/9 = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -154 and 404.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - 9. Let y be 4 + (0 - (4 - 2)). Let o be (-4)\/(y - 2 - -1). What is the second smallest value in -5, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 351*v**2 - 65. Let o(b) = -16*b**2 - 3*b - 3. Let m(p) = p + 2. Let w(u) = -3*m(u) - o(u). Give -3*a(g) + 65*w(g).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17686.\nAnswer: 2, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.156 >= -15\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2242233233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 436 + -670.5. Let i = h - -882. Round i to the nearest ten.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-18)\/(-4)*622\/(-933)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -9577, -2, 12\/5 in decreasing order.\nAnswer: 12\/5, -2, -9577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*l**4 + 755*l**3 + 2*l**2 - 786?\nAnswer: -48*l + 4530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 281.7, -0.2, -0.5, -219?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66 divided by -22.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 - 79 = 2*y. Let f = -18 - y. Let d = f + -7. Solve -d*h - 8 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 114 + -117. Which is the closest to q?  (a) 3\/2  (b) 0.4  (c) 5  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - -88 - ((14 + -2 - (12 - -15)) + 17)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -151.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of -3*h**2\/2 + 24*h + 5. Let m be r(-21). What is the third derivative of -87*i**5 + m*i**5 - i**6 - 18*i**2 wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/49266 and -157\/306?\nAnswer: 49266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 163*c**3*p**2 + 4576*c**3 + 15*c**2*p**2 with respect to p.\nAnswer: 326*c**3*p + 30*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 456 - 428. Suppose -2273 - 16907 = -d*b. Round b to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5852 and 836?\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1694 and 60742?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of q**6\/120 - q**5\/4 + q**4\/6 - 5*q**3\/3 - 40*q**2. Calculate the remainder when a(15) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2979465 is divided by 141879.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8\/(-6) - 0)*-3. Let j be r + -1 - (-9)\/(-3). Find the second derivative of 5*g**4 + j*g**4 + 3*g**4 - 4*g**4 - 7*g wrt g.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/5, 8, -1\/5, 45, -5\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(612) + -1 + sqrt(612))**2 - sqrt(612)) + 2*sqrt(2057) - (-5 + 1*sqrt(2057))).\nAnswer: -38*sqrt(17) + 4908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/10 of a millimeter in micrometers?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19 - -20. Let p(v) = 3*v - r + 0 - 1. Let z(j) = -6*j + 3. What is 5*p(s) + 3*z(s)?\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-9) - (-18)\/162. Let r(x) = -4*x + 3. Let j(w) = -w - 1. What is m*r(a) - 5*j(a)?\nAnswer: a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5.9 - -6.3. Let l = 6 + -1. What is the nearest to l in -5, a, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1\/3  (b) -931  (c) -1\/4  (d) -130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.013773 to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -16447 * -0.5\nAnswer: 8223.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3 - 0, 4*l - 155 = u. Let a = l - 35. Solve 0*x = -a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -243433.59 to the nearest 100.\nAnswer: -243400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7690?\nAnswer: 2, 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/22 and -39\/298?\nAnswer: 3278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -57*y**3 + 4279*y**2 + 1044650*y.\nAnswer: -342*y + 8558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/20)\/(26*(-228)\/39520). Factor -32*h**3 + 6*h**4 + 32*h + 6 + 92\/3*h**y.\nAnswer: 2*(h - 3)**2*(3*h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 3, -0.52, 1, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*i - 57*i + 4 = -5, 5*q + 11 = -4*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*j**3*x**3 - 189*j**3 + j**2*x**3 + j**2*x**2 + 9379*j*x + 195728*x**3 wrt x?\nAnswer: -36*j**3 + 6*j**2 + 1174368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 672*p**2 + 658*p**2 + 17 - 1338*p**2 + 234 to the form b*p + c + w*p**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 533147710 divided by 5?\nAnswer: 106629542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyybyyyyubyyby. What is prob of sequence uyyb?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -23321420 (base 6) to base 4\nAnswer: -2301101310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1095288931 to the power of 1\/2, to the nearest integer?\nAnswer: 33095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (sqrt(475) + 1)) + sqrt(209)\/(sqrt(22)\/sqrt(2)).\nAnswer: -3*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -471, -696, -843, -864, -711, -336?\n\"Answer: 8*l**3 - 9*l**2 - 254*l - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 h when three letters picked without replacement from {c: 2, h: 18}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -7995 (base 14) in base 10?\nAnswer: -21103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 384.49 - 365.6. Let r = -19.064 - a. Let j = 38 + r. What is j rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 + 33. Suppose 0 = -2*x + 4*u + 5 + n, -4*x - 2*u = -16. Suppose x*m = 4*j + m - 4, 4*m - 4 = 2*j. Calculate the highest common divisor of 12 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1111407 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 + 1. Let n = -3 + k. Suppose -4*f = -1 + 9. Is f greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o - 223 = -241. What is the second biggest value in 6\/17, o, 0.1, 2\/3?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(475)*2 - sqrt(475)) + sqrt(38)\/sqrt(2)*-2)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -496*f**4 + 11*f**2 + 20012*f + 5 wrt f?\nAnswer: -5952*f**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/10 and -3\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11371689634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/3  (b) -42  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 218052943 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: What is the next term in -74, -14, 86, 226, 406?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*q**2 - 43*q**3 - 16*q + 0*q - 50 + 21*q + 8*q**3 + 0*q = 0. Calculate q.\nAnswer: -5\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 5025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of 5*q**4\/24 - 1561*q**2. Let b(k) = 2 + 2*k - 2. What is b(o(f))?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9771464 to the nearest integer?\nAnswer: 3126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8969995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + (-15)\/(-3) + 1. Let d be 8\/j*6\/4. Suppose d*m - 45 = -5*l, 2*m - 19 = l - 3*m. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 189 and 1016883?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 8) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45 - 32. Let d(m) = -124*m**2 + 749*m - 50. Let a be d(6). Does g = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 21 - 1) + 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1563\/(-4168)*2\/4.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6132 and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y**3 - 2*y**2 - 8*y. Let a = 20 - 38. Let z = a - -20. Let p(t) = t**3 - 2*t**2 + t**3 + 4*t**z + 13*t - 6*t. Determine 7*p(o) + 6*v(o).\nAnswer: 2*o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + 6 = -7*q. Solve -5*a + q*z = -2*z + 5, 3*z = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4554875677501 and -0.092.\nAnswer: 4554875677500.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -1063*p**2 + 13*p + 10. Let f(u) = 1065*u**2 - 16*u - 12. What is -5*f(o) - 6*y(o)?\nAnswer: 1053*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -r**4 + 19080*r**3 + 50*r**2 - 2984?\nAnswer: -24*r + 114480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - 3*m**2 - 48*m + 13. Calculate d(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -201320101.8 to the nearest 100000.\nAnswer: -201300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12601, 12614, 12627, 12640, 12653, 12666?\nAnswer: 12679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -25+2.79\nAnswer: -22.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 783994471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x**2 - 17*x + 19. Let w be i(6). Solve w*u = 21*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 7. Let s = z + -4. Solve s*t + 2*t + 6 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -9 - 30. Factor 11 - k + 3*k + 1 + 3*k**2 + l*k.\nAnswer: 3*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 13190772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -7*v**2 - v + 9. Let q(n) = -10*n**2 - n + 13. Let s(t) be the second derivative of 9*t + 0 + 1\/2*t**3 - 5*t**2. Let z be s(5). Give z*q(d) - 7*u(d).\nAnswer: -d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -1b2?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 5 - 3 + 1 + 13*y.\nAnswer: 13*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 198, 2, -3, -2, -13 in ascending order.\nAnswer: -13, -9, -3, -2, 2, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 4*g - 6 = 0, -3*g = 15*z - 13*z - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4490665750?\nAnswer: 2, 5, 17962663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1425*v**2 + 180*v wrt v.\nAnswer: -2850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - ((2 - 1) + -26)) + 55 + -58.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 PM and 11:00 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2417043791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/1920 and -163\/2179584.\nAnswer: 10897920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 334414101 to the nearest integer?\nAnswer: 18287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6650.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + n + 1)*(8*n**2 + 6*n**2 + 10*n**2 + (3*n - 5*n - n)*(n - 3*n + 0*n)) - 4*n**3 + 3*n - 3*n.\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*h + 10*h = -11856. Let d = 58 + h. Suppose -5*q + 15*q = d. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -172, -397, -680, -1003, -1348, -1697, -2032?\nAnswer: -2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -q**3 - 87*q**3 - 93*q**3 + (-q**3 + 3*q**3 - 4*q**3)*(2 - 7 + 4) - q**2 + 2*q**3 + q**2 in the form x*q**3 + d + s*q + z*q**2 and give x.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-5 - (-7 - 3 - -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 24 = 5*c, 3*g - 2*c + 3*c - 8 = 0. Suppose 5*q - g = 51. Suppose -2*h = -7*h + 20. Solve -6*p + 3*t + 10 = -q*p, -h*p = -t + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2187630 divided by 364605.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 31 + 139. Let i(j) = -j**3 + 8*j**2 - 3*j + 3. Let f be i(6). Let u = f - s. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of 1\/15*p**5 + 0*p - 28 + 8\/9*p**3 - 1\/2*p**4 + 0*p**2. Solve w(y) = 0 for y.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkmkkkkkkm. Give prob of picking 1 m and 1 k.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27 - 4 - 2*t - 27 + t**3 - 24 - 56 to s*t**3 + w + o*t + y*t**2 and give w.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13.8582 - 40.585.\nAnswer: -54.4432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 14774 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.33 - 0.59. Let b = 0.3 + y. Let m = b - 0.0400007. Round m to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*v - 23*v - 124 = 0. Let l(r) = 8*r + 6. Let p be l(6). Let b = v + p. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.66 + -0.66. Let l = -16 - -12. Let q = -3.92 - l. Sort q, 1\/4, w in decreasing order.\nAnswer: w, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43054660 divided by -138886.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1423 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*g**5 - 497*g**4 - 2059*g**3 + 3137*g**2 - 590*g = 0. Calculate g.\nAnswer: -5, 0, 2\/9, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*r + 1630250 = 172*r. List the prime factors of r.\nAnswer: 2, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = -4*s, 0 = -5*v + 5*s + 1580. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*b + 2*d + 8, -109 + 129 = -2*b + 3*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w + 4. Let d be o(3). Let j be (-2)\/d + 9\/9. Solve -7*f - 10 = -j*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(2) + 0 + sqrt(2) + -5)*-5)*-5.\nAnswer: -125 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 2*y = -79, -6*m + 4*m - 2*y = -66. What is the remainder when 70 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -5*n + 105. Let s(d) = -3*d + 53. Calculate -4*j(v) + 7*s(v).\nAnswer: -v - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 - 4. Suppose -2*u = 3*u. Let r be w(u). What are the prime factors of ((-16)\/r - -5)*11\/3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 5 = -3. Let b be (-30)\/(-8) - (-1)\/4. Suppose 47 = 5*s + b*y, -3*y = -2*s - 2*y + 24. What is the lowest common multiple of s and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 530820791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 465 = 4*r + r. Let m = 97 - r. Solve -5*v = y - 4*y - 30, 0 = 5*v + m*y + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 931267148?\nAnswer: 2, 7, 23, 337, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 - 8*h + 8. Let x be g(-6). Let u = 482 + -477. Solve 0 = u*n - n + x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 586386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -1100.4 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -223240 (base 12) in base 7?\nAnswer: -4425630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5628294?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 10:32 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (2116791\/(-42))\/(105\/(-70))*7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29041039 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus 4.305?\nAnswer: 3.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5297115358 to the nearest integer?\nAnswer: 72781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 254*y - 4 + 4 - 4 to the form o + w*y and give w.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 247*i**2 - 91*i - 25. What are the prime factors of v(-6)?\nAnswer: 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -77*t**3 + 845*t**2\/3 - 476*t\/3 + 20 = 0.\nAnswer: 2\/11, 10\/21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -16a - -3?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3310 (base 8) to base 5\nAnswer: -23421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 9 - 9 = 0. Let i(n) = n**3 + 3*n**2 - 5*n - 2. Let p be i(-4). Factor -9*a**2 + 88*a**g - 85*a**3 + 3*a + 3*a**p.\nAnswer: 3*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.152 - -31.\nAnswer: 31.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 275188 and 12429840?\nAnswer: 3092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 23\/(-46)*(-1)\/2. Suppose -5*s - 57 = 3*t - 5*t, 0 = t - 1. Which is the closest to 0.2?  (a) w  (b) 1\/2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 10:48 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**4 - 85*r**3 + 390*r**2 - 320*r - 800.\nAnswer: 5*(r - 10)*(r - 4)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 132, -5, -2.\nAnswer: -5, -2, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -539121, -1078315, -1617509, -2156703, -2695897, -3235091?\n\"Answer: -539194*r + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 2 c, and 1 p when four letters picked without replacement from pzeccqqv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 9*s**2 + 23*s. Let q(i) be the second derivative of i**4\/4 + 4*i**3\/3 - 4673*i. Calculate -11*q(l) + 4*y(l).\nAnswer: 3*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n. Let u(c) = c**2 - 6*c + 5. Let b be u(6). Suppose 5*z = -2*i + i + 2, -32 = -b*i - 3*z. Calculate the least common multiple of i and v(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1318*o**4 - 166*o**4 + 279*o**4 + (-o - 1 + 1)*(-o**3 + 2 - 2) - 4*o**2 - 2*o**4 + 4*o**2 to q*o**4 + r + g*o + n*o**3 + x*o**2 and give q.\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3))\/((-18)\/(-27))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z**4\/7 - 8*z**3\/7 - 12*z**2\/7 + 32*z\/7 - 16\/7 = 0. Calculate z.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + 0.2. Let w = 1715.6 + -1716. Which is the second biggest value?  (a) -1\/2  (b) w  (c) 0.6  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -456*k + 18 = -462*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wbq when three letters picked without replacement from wquubquwuuwuuubuuqub?\nAnswer: 3\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2863963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 11*s - 3. Let i(l) = -78*l + 21. Let n(d) = -2*d**2 - 47*d + 2452. Let j be n(25). What is j*c(k) + 4*i(k)?\nAnswer: -15*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/((-90)\/(-8)) - -1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 13*l - 5. Let p be g(3). Suppose -2*j + 18 = -p. What is the remainder when j is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 93 = -103. Find the second derivative of 0*s**3 + 47*s - u*s + 18*s**3 wrt s.\nAnswer: 108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000124294 to 7 dps.\nAnswer: -0.0001243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -43 - -43.29. Let z = -34657.29122 + 34657. Let k = z + v. Round k to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -0.5, -0.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 2*u**2)*(-2*u**2 + u - u) - u**3 + u**3 - 2*u**4 + (-17*u**3 + 5*u**3 - 5*u**3)*(-60*u - 68*u - 198*u).\nAnswer: 5544*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - -10 - (-3 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 144 by 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/32)\/((-10)\/(-40))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**2 - 32*g - 122. Calculate u(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37795, 1\/4, -84, -0.2 in ascending order.\nAnswer: -84, -0.2, 1\/4, 37795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2449 is divided by 2\/(-24) - 527369\/(-2364)?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + -498.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 63*b**2 - 3*b. Let z(k) = -2*k**3 + 189*k**2 - 8*k. Let d(v) = -8*j(v) + 3*z(v). What is the third derivative of d(u) wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 2:50 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*g*z**2 + 2*g*z + 141*g + 5673*z**5 + 1213*z + 3 wrt z?\nAnswer: -22*g + 113460*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -3620?\nAnswer: -3623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -141\/41 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a + 78 = 3*a. Let i = a + 15. What is the second derivative of f + 2*f**3 - 12*f**2 + 7*f**3 + 12*f**i wrt f?\nAnswer: 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9485, -18794, -28095, -37388, -46673, -55950?\nAnswer: -65219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*q - 3*d - 22, 5*q + 2*d - 15 = 0. Suppose 3*f + 2*z = -1, -5*f - 2*z + q = 3*z. Which is the closest to -1\/2?  (a) -2  (b) -1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c**2 + 9*c - 30 = 0. What is c?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of -7\/60*i**5 + 0*i**4 + 0*i + 3*i**2 + 0 - 1\/6*i**3. Give o(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-200016)\/77784*112\/18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35 - -34. What is the tens digit of t*170\/((-4)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.06 and 194.0512?\nAnswer: 193.9912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 589500 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 51 = 4*a + 1, -4*l - 2*a + 100 = 0. Calculate the remainder when 44 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -42 + 47. Factor -4*s**2 - 7*s**3 + f*s**3 + s**3 + 3*s**3.\nAnswer: 2*s**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 8\/5*d**3 + 0 + 42*d**2 - 392\/5*d = 0. What is d?\nAnswer: -28, 0, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1380 - 1378. Let q = -74 + 75. Which is the third biggest value?  (a) 27  (b) q  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 + (-2 - 0) + 4. Let y be 2\/(o\/4)*17. Solve 2 = 5*r + y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 422157092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 148*64\/56832*(-10)\/3?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(931))**2*5 + (1 + sqrt(19)*4 - sqrt(19)).\nAnswer: 3*sqrt(19) + 4656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2 - 850*z - 78608.\nAnswer: -2*(z + 136)*(z + 289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 300 divide 745812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -179\/714 and -36\/119.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -1537*z**5 + 13*z**4 - 14*z**3 + 1536*z**5 - 16*z**2 + 3*z**4 + 15*z = 0?\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 409806 by 2.\nAnswer: 204903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 1196, -3?\nAnswer: 1196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30 - -30.4. Let d be 2*1*(-3)\/9. Let t = -0.03 + 4.03. Sort t, z, d in ascending order.\nAnswer: d, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 22199.9 from 14261.\nAnswer: -7938.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 102 (base 5) to base 7\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1854803588 and 8644?\nAnswer: 8644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 317419.8832 rounded to the nearest one hundred?\nAnswer: 317400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 341190 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -486 - -488. Sort 4, -4, -36, a in descending order.\nAnswer: 4, a, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 6 - 54. Let b be (j + 3)\/(-3) - -19206. Let m be (-2175)\/(b\/(-9600) - -2). What is m rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -713877*m**2*o - 377136*m*o + o wrt m.\nAnswer: -1427754*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/8 + 1559\/(-1148). Let a = -22\/41 - d. Let r(j) = -2*j**2 - 51*j - 118. Let n be r(-23). What is the third biggest value in n, -2\/9, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/3)*w*w\/(w*(w**(-3)\/w)\/w))\/((w**(1\/7)\/w)\/(w**(2\/3)*w)) assuming w is positive.\nAnswer: w**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - ((5 + -229)\/(-4) + 4*(-75)\/60)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.014 - -27.986. Let v = 30 - k. Which is greater: v or -0.09?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31347 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 12\/9)*-6. Factor 0*u**3 + 2*u + 6*u**3 - 6*u**2 - 2*u**4 + 0*u**x.\nAnswer: -2*u*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - m + 4*v + 5, -2*m + 2*v + 20 = 0. Suppose 2*x - m*x + 15 = 0. Suppose 2*a - 9 = x*d, a + 3*d + 4 = 3. Solve a*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -7*j**2 - 6. Let n be ((-63)\/6 + 8)\/((-40)\/96). Let y(x) = -6*x**2 - 5. What is n*y(k) - 5*r(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5655, -11259, -16863, -22467, -28071?\nAnswer: -33675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16458\/49 + -336. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -100 + -34?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 14 - 13 - 8*c - 3*c + 5. Let i(b) = -5*b + 3. Let h(y) = 13*i(y) - 6*w(y). Determine h(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(468)*-1 + -4 + (sqrt(130) - -2*-1*sqrt(130))\/sqrt(10)*-4)*3.\nAnswer: -6*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 728 and 129304.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (((-216)\/(-32))\/9)\/(-3). What is the nearest to 0 in 0.2, 0, l, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -43, -3\/4, 0.18, -9\/4, 2\/5, 13.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -250*(4 + -167604)\/1. What is f rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -372.4 in 19, 2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((-2 - -3) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 3 + 2*f**2 + 2*f**3 + 0 to the form r*f**3 + w + t*f + s*f**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1196180245 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of -p**4\/4 - 4*p**3\/3 - p**2\/2 + 6*p - 11. Let q be u(-4). What is the greatest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 58\/18 - (-4)\/(-18). Let y be (-25)\/5*(12\/(-30) + 30\/(-175)). Factor 8\/7 + 4\/7*u**r + 16\/7*u**2 + y*u.\nAnswer: 4*(u + 1)**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 10*i**3 - 2*i - 1. Suppose 4*f + 4 + 2 = 2*y, 0 = -5*y + 4*f + 27. Suppose -y*b = -3*b + 16. Let g be ((-1)\/(-2))\/(b\/8). Give m(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 - 8*t + 10. Is 10 a factor of g(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/2 - 199*h**2 + 790*h - 788.\nAnswer: (h - 394)*(h - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, n: 2, a: 2, r: 3, o: 7, m: 3}. Give prob of picking 2 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 0*n = 5*n - 5, 2*j + 1 = n. Which is greater: j or -2\/31?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 201108*c**2*i**2*t + c**2*i*t + 539*c**2 - 2*c*i**2*t**3 + 3*c*i*t**3 + 264*i*t**3 wrt i?\nAnswer: 402216*c**2*t - 4*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 41, 0, 1 in decreasing order.\nAnswer: 41, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 35 - 3 = 0. Let r be z\/(-6)*(-36)\/(-24). Let t(d) = -d**3 + 4*d**2 + 4*d - 10. What is the units digit of t(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hdo when three letters picked without replacement from owhwhwqwd?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.22 - -151.5.\nAnswer: 151.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(1275))\/(sqrt(3) + ((sqrt(216)\/sqrt(2) - sqrt(3)) + sqrt(3) - sqrt(3))).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t**3 + 36*t**2 + 77*t - 162. Give p(-15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 5*y**3\/4 - 65*y**2\/2 + 645*y\/4 - 225 = 0.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 + 18.7. Let r = z + -0.5. What is the nearest to -2 in r, -5\/4, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 42*l**2 + 310*l - 60. Let h be v(9). Suppose -2*o - 56 - 191 = 3*s, -5*s + 5*o = 420. Let k = h - s. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, s: 1, k: 3}. What is prob of picking 1 k and 2 i?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 minus -505?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16*72.\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145 = -5*h + 480. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.85100131 to four dps.\nAnswer: -0.851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 77070, 76633, 76194, 75753, 75310?\nAnswer: 74865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -48 + -84. Let z = w + 133. What is the closest to 0.14 in 2, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5960082 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 3*c = -12*f + 68, -c = -4*f + 68. Calculate the remainder when 431 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 3:26 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2228 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 947, 4058, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 562113 divided by 109?\nAnswer: 5157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18090128 to the nearest integer?\nAnswer: 4253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -925, -2064, -4711, -9478, -16977, -27820?\nAnswer: -42619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in 25, -4, -3\/5, -2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + j - 26 = 0, -4*s = 6*j - j - 58. Let q be s\/4 + -7 + -3. What is the remainder when 43 is divided by (-110)\/q + (-10)\/(-35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86 times 209\nAnswer: 17974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 PM and 7:07 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**2 + 79. What are the prime factors of v(0)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 235770 = 146*t - 1547182. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 6) + (19 - 10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.05372 + -211.76628. Round g to the nearest integer.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:53 AM and 10:13 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -i**4\/12 - i**3\/3 + i**2 - 2*i. Let m be k(2). Calculate the remainder when (-2)\/m + (-256)\/(-6) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 6:12 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11470 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3744 + 3392. Is m bigger than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64083342971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -426*t**3 - 954*t**3 - 257*t**3 + 58*t**3.\nAnswer: -1579*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 204 and 357?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f + 4. Let b be s(3). Let o = -6165 - -6168. Solve -b = l + l, -11 = -m + o*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -331935160 divided by -58?\nAnswer: 5723020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 393?  (a) -0.3  (b) 1839  (c) 0  (d) 2\/11  (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 23  (b) -2\/23  (c) 5\/4  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 305*a + 4154. Let s(t) = 5*t**2 - 2. Give c(s(v)).\nAnswer: 1525*v**2 + 3544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 97440780 divided by 1005\nAnswer: 96956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-4*(0 + -3 + ((sqrt(22) + sqrt(198))\/sqrt(11) - (1 + sqrt(242))))*5*-4)**2.\nAnswer: 358400*sqrt(2) + 729600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4 + 3070*s**3 + 6132*s**2 - 12280*s - 24544.\nAnswer: (s - 2)*(s + 2)**2*(s + 3068)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -481*h**2 - 517*h**3 + 481*h**2 + (-h + h - 2*h**2)*(-8 - 5*h + 8).\nAnswer: -507*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 303*b + 274 wrt b?\nAnswer: 303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13, -0.3, 0.3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -90 - (8 + -98 + -12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -1800827?\nAnswer: 2\/1800827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from hdhdzhhzhlzhhhhh.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 115.71 + 1.29. Let d = g + -119. What is the nearest to -1 in 33, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -55*d - 53 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + (-2 - -3 - (-1 - (0 + -6)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -673*a*i**6 + 43*a*i**2 - 3*a wrt i?\nAnswer: -80760*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z**3 + 7*z**2 + 8*z - 7. Let x(g) = 13*g**3 + 28*g**2 + 32*g - 29. Let v(c) = -9*o(c) + 2*x(c). Is v(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 42, 15, -68, -225, -474, -833, -1320, -1953?\n\"Answer: -3*g**3 - 10*g**2 + 24*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}